Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathDesmos Math 6–A1
Topic A Representing and Reasoning About Ratios 
Lesson 1: Ratios
Lesson 2: Ratios
Unit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 3: Rice Ratios
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 7: Mixing Paint, Part 1
Lesson 8 World Records (Print available)
Lesson 11 Community Life (Print available)
Practice Day 1 (Print available)
Lesson 5: Solving Problems by Finding Equivalent Ratios
Lesson 6: Solving Problems by Finding Equivalent Ratios
Unit 2
Lesson 5 Balancing Act
 
Lesson 7: Associated Ratios and the Value of a Ratio
Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio
Unit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Topic B Collections of Equivalent Ratios 
Lesson 9: Tables of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: The Structure of Ratio Tables-Additive and MultiplicativeUnit 2
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 11: Comparing Ratios Using Ratio TablesUnit 2
Lesson 10: Balloons
Lesson 12: From Ratio Tables to Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 8: World Records (Print available)
Lesson 12: Mixing Paint, Part 2
Lesson 14: Lunch Waste (Print available)
Practice Day 2 (Print available)
Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio 
Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane 
Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections 
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 2
Lesson 8: World Records (Print available)
 
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 17: From Rates to Ratios 
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7: More Soft Serve
Lesson 19: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 20: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 21: Getting the Job Done—Speed, Work, and Measurement Units
Lesson 22: Getting the Job Done—Speed, Work, and Measurement Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions.Unit 3
Lesson 13: A Country as a Village
Topic D Percent 
Lesson 24: Percent and Rates per 100Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 25: A Fraction as a Percent 
Lesson 26: Percent of a Quantity.Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 27: Solving Percent Problems
Lesson 28: Solving Percent Problems
Lesson 29: Solving Percent Problems
Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Practice Day 2 (Print available)

Module 2: Arithmetic Operations Including Division of Fractions

Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models.Unit 4
Lesson 2: Making Connections (Print available)
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 1: Cookie Cutter
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 5: Garden Bricks
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 5: Creating Division Stories. 
Lesson 6: More Division Stories. 
Lesson 7: The Relationship Between Visual Fraction Models and Equations 
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap [Free lesson]
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 10: The Distributive Property and the Products of DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 11: Fraction Multiplication and the Products of DecimalsUnit 5
Lesson 7: Multiplication Methods (Print available)
Topic C Dividing Whole Numbers and Decimals
Lesson 12: Estimating Digits in a Quotient 
Lesson 13: Dividing Multi-Digit Numbers Using the AlgorithmUnit 5
Lesson 9: Long Division Launch
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions. 
Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math 
Topic D Number Theory—Thinking Logically About Multiplicative Arithmetic 
Lesson 16: Even and Odd Numbers 
Lesson 17: Divisibility Tests for 3 and 9 
Lesson 18: Least Common Multiple and Greatest Common FactorUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)
Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm 

Module 3: Rational Numbers

Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and ValueUnit 7Lesson 2: Digging Deeper
Lesson 2: Real-World Positive and Negative Numbers and Zero.
Lesson 3: Real-World Positive and Negative Numbers and Zero.
Unit 7 Lesson 4: Sub-Zero
Lesson 4: The Opposite of a Number
Lesson 5: The Opposite of a Number’s Opposite
Lesson 6: Rational Numbers on the Number Line
Unit 7Lesson 2: Digging Deeper
Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers 
Lesson 11: Absolute Value—Magnitude and Distance
Lesson 12: The Relationship Between Absolute Value and Order
Unit 7Lesson 5: Distance on the Number Line
Lesson 13: Statements of Order in the Real World. 
Topic C Rational Numbers and the Coordinate Plane 
Lesson 14: Ordered Pairs
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 16: Symmetry in the Coordinate Plane. 
Lesson 17: Drawing the Coordinate Plane and Points on the PlaneLesson 10: The A-maze-ing Coordinate Plane
Lesson 18: Distance on the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 19: Problem Solving and the Coordinate PlaneUnit 7Lesson 12: Graph Telephone (Print available)Practice Day 2 (Print available)

Module 4: Expressions and Equations

Topic A Relationships of the Operations 
Lesson 1: The Relationship of Addition and Subtraction 
Lesson 2: The Relationship of Multiplication and Division 
Lesson 3: The Relationship of Multiplication and Addition. 
Lesson 4: The Relationship of Division and Subtraction 
Topic B Special Notations of Operations 
Lesson 5: ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Practice Day 2 (Print available)
Lesson 6: The Order of Operations 
Topic C Replacing Letters and Numbers 
Lesson 7: Replacing Letters with Numbers
Lesson 8: Replacing Numbers with Letters
Unit 6Lesson 7: Border TilesLesson 12: Squares and Cubes
Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: Writing Addition and Subtraction ExpressionsUnit 6Lesson 6: Vari-applesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 13: Writing Division Expressions 
Lesson 14: Writing Division Expressions 
Topic E Expressing Operations in Algebraic Form 
Lesson 15: Read Expressions in Which Letters Stand for Numbers
Lesson 16: Write Expressions in Which Letters Stand for Numbers
Lesson 17: Write Expressions in Which Letters Stand for Numbers
Unit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6Lesson 7: Border TilesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and DifferencesLesson 12: Squares and Cubes
Lesson 22: Writing and Evaluating Expressions—ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Lesson 12: Squares and CubesPractice Day 2 (Print available)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6Lesson 1: Weight for It [Free lesson]
Lesson 25: Finding Solutions to Make Equations TrueUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five EquationsLesson 3: Hanging Around
Lesson 27: One-Step Equations—Multiplication and Division
Lesson 28: Two-Step Problems—All Operations
Lesson 29: Multi-Step Problems—All Operations
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve
Topic H Applications of Equations 
Lesson 30: One-Step Problems in the Real World
Lesson 31: Problems in Mathematical TermsLesson Lesson 32: Multi-Step Problems in the Real World
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and SolvePractice Day 1 (Print available)
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1Lesson 3: Exploring Parallelograms (Print available) [Free lesson]Lesson 4: Off the Grid
Lesson 2: The Area of Right Triangles
Lesson 3: The Area of Acute Triangles Using Height and Base
Unit 1Lesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 4: The Area of All Triangles Using Height and BaseUnit 1Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 5: The Area of Polygons Through Composition and DecompositionUnit 1Lesson 2: LettersLesson 8: Pile of PolygonsPractice Day 1 (Print available)
Lesson 6: Area in the Real World 
Topic B Polygons on the Coordinate Plane 
Lesson 7: Distance on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 8: Drawing Polygons in the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 10: Distance, Perimeter, and Area in the Real World 
Topic C Volume of Right Rectangular Prisms 
Lesson 11: Volume with Fractional Edge Lengths and Unit CubesUnit 4Lesson 11: Classroom ComparisonsLesson 12: Puzzling Areas (Print available) [Free lesson]Lesson 13: Volume ChallengesLesson 14: Planter Planner (Print available)
Lesson 12: From Unit Cubes to the Formulas for Volume  
Lesson 13: The Formulas for Volume 
Lesson 14: Volume in the Real WorldUnit 4Lesson 14: Planter Planner (Print available)
Topic D Nets and Surface Area 
Lesson 15: Representing Three-Dimensional Figures Using Nets
Lesson 16: Constructing Nets
Lesson 17: From Nets to Surface Area
Unit 1Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1Lesson 9: Renata´s Stickers [Free lesson]Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)Practice Day 2 (Print available)
Lesson 19: Surface Area and Volume in the Real World 
Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums 
Lesson 3: The Area of Acute Triangles Using Height and BaseUnit 1Lesson 5 Exploring TrianglesLesson 6 Triangles and ParallelogramsLesson 7 Off the Grid, Part 2

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 1: Posing Statistical QuestionsUnit 8 Lesson 1: Screen TimeLesson 2: Dot Plots
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8 Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic B Summarizing a Distribution That Is Approximately Symmetric Using the Mean and Mean Absolute Deviation 
Lesson 6: Describing the Center of a Distribution Using the Mean
Lesson 7: The Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 8: Variability in a Data DistributionUnit 8Lesson 8: Pop It!
Topic 9: The Mean Absolute Deviation (MAD).Unit 8Lesson 9: Hoops
Lesson 10: Describing Distributions Using the Mean and MAD
Lesson 11: Describing Distributions Using the Mean and MAD
Unit 8Lesson 10 Hollywood Part 1Practice Day 1 (Print available)
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 13: Describing Variability Using the Interquartile Range (IQR)Unit 8Lesson 13: Pumpkin Patch
Lesson 14: Summarizing a Distribution Using a Box Plot
Lesson 15: More Practice with Box Plots
Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Understanding Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic D Summarizing and Describing Distributions 
Lesson 17: Developing a Statistical Project 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8Lesson 5: The Plot Thickens [Free lesson]
Lesson 19: Comparing Data DistributionsUnit 8Lesson 15: Hollywood Part 2
Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape
Unit 8Lesson 16: Hollywood Part 3 (Print available)
Lesson 22: Presenting a Summary of a Statistical Project 
Lesson 3: Creating a Dot PlotUnit 8Lesson 2 Dot PlotsLesson 3 Minimum Wage [Free lesson]Lesson 4 Lots More Dots

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathDesmos Math 6–A1
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
 
Unit 4
Lesson 1: Mosaics [Free lesson]
Lesson 2: Peach Cobbler (Print available)
Lesson 2: Proportional RelationshipsUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
 
Unit 4
Lesson 3: Sticker Sizes
Lesson 3: Identifying Proportional and Non-Proportional Relationships in Tables
Lesson 4: Identifying Proportional and Non-Proportional Relationships in Tables
Unit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic B Unit Rate and the Constant of Proportionality 
Lesson 7: Unit Rate as the Constant of ProportionalityUnit 2
Lesson 2: Balloon Float
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two [Free lesson]
Lesson 13: Finding Equivalent Ratios Given the Total QuantityUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 14: Multi-Step Ratio Problems 
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 17: The Unit Rate as the Scale FactorUnit 1
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Practice Day 1 (Print available)
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 20: An Exercise in Creating a Scale Drawing
Lesson 21: An Exercise in Changing Scales
Lesson 22: An Exercise in Changing Scales
Unit 1
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Practice Day 2 (Print available)

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 6: The Distance Between Two Rational Numbers 
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10; Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 8: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Lesson 9: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 12: Division of IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions 
Lesson 14: Converting Rational Numbers to Decimals Using Long DivisionUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers 
Topic C Applying Operations with Rational Numbers to Expressions and Equations 
Lesson 17: Comparing Tape Diagram Solutions to Algebraic SolutionsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Lesson 19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Unit 5
Lesson 9 Expressions
Lesson 20: Investments—Performing Operations with Rational Numbers
Lesson 21: If-Then Moves with Integer Number Cards
Lesson 22: Solving Equations Using Algebra
Lesson 23: Solving Equations Using Algebra
Unit 6
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 6: Balancing Equations
Lesson 7: Keeping It True (Print available)
Lesson 12: Community Day (Print available)
 
Unit 5
Lesson 3: Bumpers

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 1: Generating Equivalent Expressions
Lesson 2: Generating Equivalent Expressions
Unit 5 Lesson 9: Expressions (Print available)Unit 6Lesson 9: Always-Equal MachinesLesson 11: Equation Roundtable (Print available)
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6 Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and ExpandingLesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)
Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions 
Lesson 6: Collecting Rational Number Like Terms 
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 7: Understanding EquationsUnit 6Lesson 2: Smudged ReceiptsLesson 5: Balancing MovesLesson 6: Balancing Equations
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)
Lesson 10: Angle Problems and Solving EquationsUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Lesson 11: Angle Problems and Solving Equations 
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 15: Graphing Solutions to InequalitiesUnit 6Lesson 13: I Saw the SignsPractice Day 2 (Print available)
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 17: The Area of a CircleUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 18: More Problems on Area and CircumferenceUnit 3Lesson 4: Perimeter ChallengesLesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. Square
Lesson 19: Unknown Area Problems on the Coordinate Plane
Lesson 20: Composite Area Problems
Unit 3Lesson 4: Perimeter ChallengesPractice Day 2 (Print available)
Lesson 21: Surface Area
Lesson 22: Surface Area
Lesson 23: The Volume of a Right Prism
Lesson 24: The Volume of a Right Prism
Unit 7Lesson 10: Simple PrismsLesson 11: More Complicated Prisms Lesson 12: Surface Area Strategies (Print Available)Lesson 13: Popcorn PossibilitiesPractice Day 2 (Print available)
Lesson 25: Volume and Surface Area
Lesson 26: Volume and Surface Area
Unit 7Lesson 13: Popcorn PossibilitiesPractice Day 2

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 2: Part of a Whole as a PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)
Lesson 3: Comparing Quantities with PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 4: Percent Increase and DecreaseUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day (Print available)
Topic C Scale Drawings 
Lesson 12: The Scale Factor as a Percent for a Scale Drawing 
Lesson 13: Changing ScalesUnit 1Lesson 1: Scaling Machines [Free lesson]Lesson 2: Scaling RobotsLesson 3: Make It ScaleLesson 4: Scale Factor ChallengesLesson 5: TilesLesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 1 (Print available)Practice Day 2 (Print available) Unit 3Lesson 1 Toothpicks
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available) Unit 3Lesson 1: Toothpicks
Lesson 15: Solving Area Problems Using Scale DrawingsUnit 1Lesson 5: Tiles
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Mixture Problems 
Lesson 18: Counting Problems 

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 2: Estimating Probabilities by Collecting Data
Lesson 3: Chance Experiments with Equally Likely Outcomes
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Unit 8Lesson 3: Mystery BagLesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: Chance Experiments with Outcomes That Are Not Equally LikelyUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 7: Calculating Probabilities of Compound EventsUnit 8Lesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)Practice Day 1 (Print available)
Topic B Estimating Probabilities 
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
Unit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Conducting a Simulation to Estimate the Probability of an EventUnit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 11: Conducting a Simulation to Estimate the Probability of an Event
Lesson 12: Applying Probability to Make Informed Decisions
Unit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Sampling VariabilityUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and Samples
Lesson 18: Sampling Variability and the Effect of Sample Size
Lesson 19: Understanding Variability When Estimating a Population Proportion
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 20: Estimating a Population Proportion 
Topic D Comparing Populations 
Lesson 21: Why Worry About Sampling Variability?Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7Lesson 1: PinwheelsLesson 2: Friendly AnglesLesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic B Constructing Triangles 
Lesson 5: Identical TrianglesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than One
Lesson 6: Drawing Geometric ShapesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)
Lesson 7: Drawing Parallelograms 
Lesson 8: Drawing TrianglesUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included
Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side Angle
Unit 7Lesson 8: Can You Draw It? (Print available)
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle 
Lesson 13: Checking for Identical Triangles
Lesson 14: Checking for Identical Triangles
Unit 7Lesson 6: Is It Enough?Lesson 7: More Than OnePractice Day 1
Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems 
Topic C Slicing Solids 
Lesson 16: Slicing a Right Rectangular Prism with a Plane
Lesson 17: Slicing a Right Rectangular Pyramid with a Plane
Lesson 18: Slicing on an Angle
Unit 7Lesson 9: Slicing Solids
Lesson 19: Understanding Three-Dimensional Figures 
Topic D Problems Involving Area and Surface Area 
Lesson 20: Real-World Area ProblemsUnit 3Lesson 5: Area Strategies
Lesson 21: Mathematical Area ProblemsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)
Lesson 22: Area Problems with Circular RegionsUnit 3Lesson 5: Area StrategiesLesson 8: Area Challenges [Free lesson]
Lesson 23: Surface Area
Lesson 24: Surface Area
Unit 7Lesson 12: Surface Area Strategies (Print available)Lesson 13: Popcorn Possibilities
Topic E Problems Involving Volume 
Lesson 25: Volume of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 13: Popcorn Possibilities
Lesson 26: Volume of Composite Three-Dimensional ObjectsUnit 7Lesson 11: More Complicated Prisms
Lesson 27: Real-World Volume ProblemsUnit 7Lesson 13: Popcorn Possibilities

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathDesmos Math 6–A1
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 Lesson 1 Circles [Free lesson]Lesson 2 Combining Exponents
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 Lesson 2 Combining ExponentsLesson 3 Power Pairs (Print available) [Free lesson]Lesson 4 Rewriting Powers
Lesson 4: Numbers Raised to the Zeroth Power
Lesson 5: Negative Exponents and the Laws of Exponents
Unit 7 Lesson 5 Zero and Negative ExponentsLesson 6 Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: Proofs of Laws of Exponents 
Topic B Magnitude and Scientific Notation 
Lesson 7: MagnitudeUnit 7 Lesson 7 Scales and Weights
Lesson 8: Estimating QuantitiesUnit 7 Lesson 7: Scales and WeightsLesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 11: Efficacy of Scientific NotationUnit 7 Lesson 13: Star Power
Lesson 12: Choice of Unit 
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using TechnologyUnit 7  Lesson 13: Star Power Practice Day 2 (Print available)

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Translating LinesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson] Unit 3Lesson 6: Translations
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Topic B Sequencing the Basic Rigid Motions 
Lesson 7: Sequencing Translations
Lesson 8: Sequencing Reflections and Translations
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]Lesson 13: Tessellate [Free lesson]Practice Day
Topic C Congruence and Angle Relationships 
Lesson 11: Definition of Congruence and Some Basic PropertiesUnit 1 Lesson 7: Are They the Same?Lesson 8: No Bending, No StretchingLesson 9: Are They Congruent?Practice Day
Lesson 12: Angles Associated with Parallel LinesUnit 1 Lesson 10: Transforming Angles  
Lesson 13: Angle Sum of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)
Lesson 14: More on the Angles of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Topic D: The Pythagorean Theorem 
Lesson 15: Informal Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 16: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco TruckPractice Day 2 (Print available)

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane (Print available)
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 6: Dilations on the Coordinate PlaneUnit 8Lesson 4: Dilations on a Plane (Print available)
Lesson 7: Informal Proofs of Properties of Dilations 
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 10: Informal Proof of AA Criterion for SimilarityUnit 2Lesson 7: Are Angles Enough?
Lesson 11: More About Similar TrianglesUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 12: Modeling Using SimilarityUnit 2Lesson 8: ShadowsLesson 9: Water SlideLesson 10: Points on a PlanePractice Day 
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 14: The Converse of the Pythagorean TheoremUnit 8 Lesson 9: Make It Right

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 1: Writing Equations Using Symbols 
Lesson 2: Linear and Nonlinear Expressions in x 
Lesson 3: Linear Equations in xUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 4: Solving a Linear EquationUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 5: Writing and Solving Linear EquationsUnit 3Lesson 1: Turtle Time Trials Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Solutions of a Linear EquationUnit 3Lesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: Classification of SolutionsUnit 4Lesson 7: All, Some, or None?
Lesson 8: Linear Equations in Disguise 
Lesson 9: An Application of Linear Equations 
Topic B Linear Equations in Two Variables and Their GraphsUnit 3Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 7: Water CoolerLesson 8: Landing PlanesLesson 9: Coin Capture
Lesson 11: Constant RateUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day  Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 12: Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: Translations Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: SolutionsLesson 11: Pennies and Quarters
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical LinesUnit 3 Lesson 9: Coin CapturePractice Day  [Free lesson]
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 16: The Computation of the Slope of a Non-Vertical LineUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 17: The Line Joining Two Distinct Points of the Graph 𝑦 = 𝑚x + 𝑏 Has Slope mUnit 3Lesson 7: Water Cooler
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3Lesson 5: Flags [Free lesson]Lesson 7: Water Cooler
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 21: Some Facts About Graphs of Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: TranslationsPractice Day 
Lesson 22: Constant Rates RevisitedUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: Posters
Lesson 23: The Defining Equation of a LineUnit 3Lesson 10: SolutionsLesson 11: Pennies and Quarters
Topic D Systems of Linear Equations and Their Solutions 
Lesson 24: Introduction to Simultaneous EquationsUnit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 26: Characterization of Parallel LinesUnit 3 Lesson 6: Translations
Lesson 27: Nature of Solutions of a System of Linear EquationsUnit 4  Lesson 9: On or Off the Line?
Lesson 28: Another Computational Method of Solving a Linear System 
Lesson 29: Word Problems 
Lesson 30: Conversion Between Celsius and Fahrenheit 
Topic E Pythagorean Theorem 
Lesson 31: System of Equations Leading to Pythagorean Triples 

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Formal Definition of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson] Lesson 3: Function or Not?
Lesson 3: Linear Functions and ProportionalityUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window Frames
Lesson 4: More Examples of FunctionsUnit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 5: Graphs of Functions and EquationsUnit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 7: Comparing Linear Functions and GraphsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Graphs of Simple Nonlinear Functions 
Topic B Volume 
Lesson 9: Examples of Functions from GeometryUnit 8Lesson 1: Tilted SquaresLesson 2: From Squares to Roots
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 11: Volume of a SphereUnit 5 Lesson 15: Spheres Practice Day 2 (Print available)

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 1: Modeling Linear RelationshipsUnit 5 Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking Cups
Lesson 3: Representations of a LineUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing Stories
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Practice Day 1 (Print available) [Free lesson]
Lesson 8: Informally Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 9: Determining the Equation of a Line Fit to Data 
Topic C Linear and Nonlinear Models 
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5 Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesUnit 6 Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 2 (Print available)
Lesson 12: Nonlinear Models in a Data Context 
Topic D Bivariate Categorical Data 
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way TableUnit 6 Lesson 9: Tasty Fruit
Lesson 14: Association Between Categorical VariablesUnit 6 Lesson 10: Finding Associations [Free lesson] Lesson 11: Federal Budgets Practice Day 3

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 2: Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 3: Existence and Uniqueness of Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Lesson 4: Simplifying Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 5: Solving Equations with Radicals 
Topic B Decimal Expansions of Numbers 
Lesson 6: Finite and Infinite Decimals
Lesson 7: Infinite Decimals
Lesson 8: The Long Division Algorithm
Lesson 9: Decimal Expansions of Fractions, Part 1
Lesson 10: Converting Repeating Decimals to Fractions
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 11: The Decimal Expansion of Some Irrational Numbers 
Lesson 12: Decimal Expansions of Fractions, Part 2 
Lesson 13: Comparing Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 14: Decimal Expansion of π 
Topic C The Pythagorean Theorem 
Lesson 15: Pythagorean Theorem, RevisitedUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 16: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 17: Distance on the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Topic D Applications of Radicals and Roots 
Lesson 19: Cones and Spheres 
Lesson 20: Truncated Cones 
Lesson 21: Volume of Composite Solids 
Lesson 22: Average Rate of Change 
Lesson 23: Nonlinear Motion 

Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

Lesson 1: Compare objects based on their attributes.Connecting Cubes
Lesson 3: Classify objects into two categories and count.Skye’s Style

Topic B: Answer How Many Questions with Up to 5 Objects

Lesson 3: Sort by Same ColorMatching Groups

Topic C: Write Numerals and Create Sets of Up to 5 Objects

Lesson 10: Count out a group of objects to match a numeral.Designing Shoes with Skye

Topic E: Answer How Many Questions with Up to 10 Objects

Lesson 19: Organize, count, and represent a collection of objects.Investigate: Cafeteria Math
Lesson 20: Count objects in 5-group and array configurations and match to a numeral.Fingers as Math Tools
Lesson 23: Conserve number regardless of the order in which objects are counted.Moving and Grooving

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

Lesson 1: Find and describe attributes of flat shapes.So Much Sorting
Lesson 2: Classify shapes as triangles or nontriangles.What’s That Shape Called?
Lesson 3: Classify shapes as circles, hexagons, or neither.What’s That Shape Called?
Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case.Another Shape

Module 3: Comparison

Topic C: Compare Sets Within 10

Lesson 12: Relate more and fewer to length.More, Fewer, or the Same
Forest Friends
Lesson 13: Compare sets by using more than, fewer than, and the same number as.Fingers and Counters
Comparing Words

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

Lesson 1: Compose flat shapes and count the parts.Investigate: Casey’s Town
Lesson 2: Decompose flat shapes and count the parts.How Many Objects?
Lesson 3: Decompose a group to identify parts and total.How Many Objects in Pictures?

Topic B: Record Composition and Decomposition

Lesson 5: Sort to decompose a number in more than one way.How Will You Count?
Lesson 6: Decompose a number in more than one way and record.Harry Explores the Ocean

Module 5: Addition and Subtraction

Topic A: Represent Addition

Lesson 1: Represent add to with result unknown story problems by using drawings and numbers.What Does It Mean to Add?

Topic B: Represent Subtraction

Lesson 8: Understand taking away as a type of subtraction.What Does It Mean to Subtract?

Topic C: Make Sense of Problems

Lesson 15: Identify the action in a problem to represent and solve it.The Bus Depot

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

Lesson 2: Organize and represent data to compare two categories.Shapes Ying Saw

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.Packing for a Picnic
Lesson 3: Subtract 1 or subtract 1 less than the total.What’s the Difference?
Leaping Lily Pads!

Topic B: Relate and Distinguish Addition and Subtraction

Lesson 5: Use the Read–Draw–Write process to solve result unknown problems.Investigate: Let’s Grow!
Lesson 6: Represent and solve related addition and subtraction result unknown problems.Tutu’s Garden in Maui
Lesson 7: Count on or count back to solve related addition and subtraction problems.The Kalo Plants

Topic C: Find an Unknown Part in Change Unknown Problems

Lesson 8: Interpret and find an unknown change.Replanting Huli
Lesson 11: Represent and solve take from with change unknown problems.Helping Others
A Community Working Together

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

Lesson 9: Make ten with either addend.Making 10
Kitten Coaster

Topic D: Reason about Ten as a Unit to Add or Subtract

Lesson 16: Identify ten as a unit.Same Number, Different Ways

Module 5: Place Value Concepts to Compare, Add, and Subtract

Topic A: Grouping Units in Tens and Ones

Lesson 2: Count a collection and record the total in units of tens and ones.Investigate: Game Points
Meeting Yara
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.It’s a Match
Lesson 6: Add 10 or take 10 from a two-digit number.How Many Cubes?

Topic D: Addition and Subtraction of Tens

Lesson 15: Count on and back by tens to add and subtract.Boris’s Thimbles
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.How Many Tens?

Level 2

Module 1: Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Topic A: Representing Data to Solve Problems

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.Exploring Within 10
Ways to Make 10
Lesson 4: Use information presented in a bar graph to solve compare problems.Awesome Aquariums

Topic C: Estimate, Measure, and Compare Lengths

Lesson 12: Model and reason about the difference in length.Lengths of Jungle Animals

Topic D: Solve Compare Problems by Using the Ruler as a Number Line

Lesson 15: Use a measuring tape as a number line to add efficiently.Investigate: Where Am I?
Time to Line Up!
What’s That Number?
Lesson 17: Represent and solve comparison problems by using measurement contexts.Greater Than, Less Than, or Equal to

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

Lesson 1: Reason about addition with four addends.Investigate: Activities at the Block Party

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

Lesson 1: Organize, count, and represent a collection of coins.Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 2: Use the fewest number of coins to make a given value.How Much Money?
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar.The Toy Stand
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.The Craft Stand at the Block Party

Topic B: Use Customary Units to Measure and Estimate Length

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.In Full Bloom

Topic C: Use Measurement and Data to Solve Problems

Lesson 15: Use measurement data to create a line plot.Messy Measurements
“Lesson 16: Create a line plot to represent data and ask and answer questions.
60 min
Bracelets and Wristbands

Level 3

Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model.Arrays of Flavor

Topic D: Two Interpretations of Division

Lesson 15: Model division as an unknown factor problem.It’s Chili in Here

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand.Investigate: Create a Photo Gallery

Topic C: Simplifying Strategies to Find Sums and Differences

Lesson 13: Collect and represent data in a scaled bar graph and solve related problems.Puppy Pile
Lesson 14: Use place value understanding to add and subtract like units.Adding Your Way
Lesson 15: Use the associative property to make the next ten to add.Panda Patterns
Lesson 16: Use compensation to add.How Would You Solve It?

Topic D: Two- and Three-Digit Measurement Addition and Subtraction

Lesson 20: Add measurements using the standard algorithm to compose larger units once.What is an Algorithm?
Using Fewer Digits
Lesson 21: Add measurements using the standard algorithm to compose larger units twice.Determining Sums of 2 or More Addends
Adding Strategically

Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9

Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7

Lesson 11: Use the break apart and distribute strategy to divide with units of 7.Relating Quotients to Familiar Products
Lesson 12: Solve one-step word problems involving multiplication and division.Division and Multiplication Equations

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

Lesson 2: Recognize area as an attribute of polygons.Investigate: Comparing Rugs
Which Covers More Space?
Lesson 3: Tile polygons to find their areas.Tiling Figures
Area Hunt

Topic B: Concepts of Area Measurement

Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area.Rectangles and Arrays
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area.Area Hunt

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs.2, 5, or 10?

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

Lesson 1: Interpret multiplication as multiplicative comparison.How Does It Grow?

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

Lesson 24: Recognize that a number is a multiple of each of its factors.Hamster Homes
Factor or Multiple?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.A Number Game

Module 4: Foundations for Fraction Operations

Lesson 1: Decompose whole numbers into a sum of unit fractions.

Lesson 1: Decompose whole numbers into a sum of unit fractions.Investigate: Building Your Own Number Line
Lesson 3: Decompose fractions into a sum of fractions.Math Pizzeria
Lesson 4: Represent fractions by using various fraction models.Fraction Strips
Chop It
Lesson 5: Rename fractions greater than 1 as mixed numbers.All Kinds of Fractions

Topic D: Add and Subtract Fractions

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.Pizza Problems

Topic F: Repeated Addition of Fractions as Multiplication

Lesson 32: Multiply a fraction by a whole number by using the associative property.Equal Groups of Fractions

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

Lesson 1: Organize, count, and represent a collection of money.Investigate: Different Units
Lesson 3: Represent tenths as a place value unit.A New Way to Write Tenths
Lesson 4: Write mixed numbers in decimal form with tenths.A New Way to Write Tenths

Topic B: Tenths and Hundredths

Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.Are They Equivalent?
Lesson 6: Represent hundredths as a place value unit.A New Way to Write Hundredths
Lesson 7: Write mixed numbers in decimal form with hundredths.A New Way to Write Hundredths

Topic C: Comparison of Decimal Numbers

Lesson 10: Use pictorial representations to compare decimal numbers.How Can You Compare?
Lesson 11: Compare and order decimal numbers.Robot Factory
What’s the Order?

Level 5

Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers

Topic B: Multiplication of Whole Numbers

Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.Partial Products Everywhere
Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.How Do They Compare?

Topic C: Division of Whole Numbers

Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients.Emptying the Water Tank

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

Lesson 1: Interpret a fraction as division.Investigate: Sharing Sandwiches
Sharing More Sandwiches
Dance Breaks
Lesson 3: Represent fractions as division by using models.Making Generalizations
Lesson 4: Solve word problems involving division and fractions.Division Story Problems

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

Lesson 7: Multiply fractions less than 1 by unit fractions pictorially.Investigate: Folding Paper
Lesson 8: Multiply fractions less than 1 pictorially.Parts of Parts
One Part of One Part
Rows and Columns
Lesson 9: Multiply fractions by unit fractions by making simpler problems.Messy Multiplication
Lesson 10: Multiply fractions greater than 1 by fractions.Making Food
Installing Turf
Lesson 11: Multiply fractions.Applying Fraction Multiplication
Chores at Animal Haven
The Re-size-inator

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting.Which is Largest
Lesson 18: Find the volume of right rectangular prisms by packing with improvised units.Packing the Barge

Topic D: Volume and the Operations of Multiplication and Addition

Lesson 25: Find the volumes of solid figures composed of right rectangular prisms.Putting It Together
Figures Made of Prisms

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

Lesson 6: Ratios Tables and Double Number LinesFruit Lab
Lesson 9: Multiplication Patterns in Ratio RelationshipsDisaster Preparation

Topic D: Rates

Lesson 16: SpeedWorld Records
Lesson 17: RatesMany Measurements
Soft Serve
Lesson 18: Comparing RatesWelcome to the Robot Factory
Lesson 19: Unit Rates to Convert UnitsModel Trains
More Soft Serve
Lesson 20: Solving Rate ProblemsLucky Duckies

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

Lesson 6: Dividing a Whole Number by a FractionFlour Planner
Lesson 8: Dividing Fractions by Making Common DenominatorsFill the Gap

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

Lesson 13: Decimal Addition and SubtractionDishing Out Decimals
Lesson 16: Applications of Decimal OperationsDecimal Diagrams and Algorithms

Topic F: Decimal Division

Lesson 21: Dividing a Decimals by a Whole NumberMovie Time
Lesson 22: Dividing a Decimal by a Decimal Greater than 1Movie Time
Lesson 23: Dividing a Decimal by a Decimal Less than 1Movie Time

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

Lesson 1: Positive and Negative NumbersCan You Dig It?
Lesson 3: Rational NumbersOrder in the Class

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

Lesson 9: Addition and Subtraction Expressions from the Real-WorldSubway Fares

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

Lesson 17: Equations and SolutionsFive Equations
Lesson 18: Inequalities and SolutionsHanging It Up
Tunnel Travels
Lesson 19: Solving Equations with Addition and SubtractionWeight for It
Lesson 20: Solving Equations with Multiplication and DivisionHanging Around
Lesson 21: Solving Problems with EquationsSwap and Solve

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

Lesson 1: The Area of a ParallelogramExploring Parallelograms, Part 1
Lesson 2: The Area of a Right TriangleOff the Grid, Part 2
Lesson 3: The Area of a TriangleExploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 4: Areas of Triangles in Real-World SituationsExploring Triangles

Topic B: Problem Solving with Area

Lesson 5: Perimeter and Area in the Coordinate PlaneShapes on a Plane
Lesson 6: Problem Solving with Area in the Coordinate PlaneLetters
Lesson 7: Areas of Trapezoids and Other PolygonsTriangles and Parallelograms
Lesson 8: Areas of Composite Rigures in Real-World SituationsPile of Polygons

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

Lesson 2: Describing a Data DistributionHoops
Lesson 3: Creating a Dot PlotMinimum Wage
Lesson 4: Creating a HistogramThe Plot Thickens

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

Lesson 1: An Experiment with Ratios and RatesPaint
Lesson 2: Exploring Tables and Proportional RelationshipsTwo and Two
Lesson 4: Exploring Graphs of Proportional RelationshipsDinoPops

Topic C: Scale Drawing and Proportional Relationships

Lesson 14: Extreme BicyclesScaling Machines
Lesson 15: Scale DrawingScaling Robots
Lesson 16: Using Scale FactorScale Factor Challenges
Lesson 17: Finding Actual Distances from ScaleMake it Scale
Lesson 18: Relating Areas of Scale DrawingTiles
Will It Fit

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

Lesson 8: Subtracting Integers, Part 1More Floats and Anchors
Lesson 10: Subtracting Rational Numbers, Part 1Draw Your Own

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

Lesson 18: Understanding Inequalities and Their SolutionsI Saw the Signs
Lesson 19: Using Equations to Solve InequalitiesUnbalanced Hangers
Lesson 20: Preserving and ReversingShira the Sheep
Lesson 21: Solving Two-Step InequalitiesBudgeting
Lesson 22: Solving Problems Involving InequalitiesWrite Them and Solve Them

Module 4: Geometry

Topic A: Constructing Geometric Figures

Lesson 3: Side Lengths of a TriangleCan You Build It
Lesson 4: Angles of a TriangleFriendly Angles

Topic C: Circumference and Areas of Circles

Lesson 10: The Outside of a CicleMeasuring Around
Lesson 11: The Inside of a CircleWhy Pi?
Lesson 14: Composite Figures with Circular RegionsArea Challenges

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

Lesson 3: Percent as a Rate per 100Mosaics
Lesson 4: Proportion and PercentMore and Less

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

Lesson 16: Markups and Discount100%
Lesson 18: Simple Interest – Solving for Unknown ValuesPercent Machines

Topic E: Problems Involving Percent

Lesson 20: Making Money, Day 1Back in My Day

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

Lesson 2: Empirical ProbabilityHow Likely
Lesson 4: Theoretical ProbabilityProb-bear-bilities

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

Lesson 2: Comparing Large NumbersSpecific and Scientific (formerly Solar System)
Lesson 4: Adding and Subtracting Numbers Written in Scientific NotationBalance the Scale

Topic B: Properties and Definitions of Exponents

Lesson 6: More Properties of ExponentsCircles
Lesson 7: Making Sense of the Exponent 0Power Pairs

Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem

Lesson 18: The Pythagorean TheoremTriangle Tracing Turtle
Lesson 19: Using the Pythagorean TheoremTaco Truck
Lesson 23: Ordering Irrational NumbersRoot Down

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

Lesson 1: Motions in the PlaneTransformers
Moving Day
Lesson 2: TranslationsSpinning, Flipping, Sliding
Moving Day
Lesson 4: Translations and Reflections on the Coordinate PlaneGetting Coordinated, Part 1
Lesson 6: Rotations on the Coordinate PlaneGetting Coordinated, Part 2

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

Lesson 1: Exploring DilationsSketchy Dilations
Lesson 3: Reductions and More EnlargmentsDilation Mini Golf

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

Lesson 16: Proportional Relationships and SlopeTurtle Time Trials
Lesson 17: Slopes of Rising LinesFlags
Ups and Downs
Lesson 18: Slopes of Falling LinesFlags
Water Cooler
Ups and Downs

Topic E: Different Forms of a Linear Equation

Lesson 20: Slope-Intercept form of the Equation of a LineStacking Cups (Optional)
Lesson 21: Slopes and Parallel LinesTranslations

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

Lesson 1: Solving Problems with Equations and Their GraphsMake Them Balance

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

Lesson 1: Motion and SpeedTurtle Crossing
Lesson 2: Definition of a FunctionGuess My Rule

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

Lesson 11: Scatter PlotsRobots
Dapper Cats
Lesson 12: Patterns in Scatter PlotsInterpreting Scatter Plots
Lesson 13: Informally Fitting a Line to DataFind the Fit (called Fit Fights in Desmos Math)
Lesson 14: Determining an Equation of a Line Fit to DataInterpreting Slopes
Lesson 15: Linear ModelAnimal Brains
Lesson 16: Using the Investigative ProcessScatter Plot City
Lesson 17: Analyzing the ModleScatter Plot City

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

Lesson 22: Volume of a CylinderCylinders
Lesson 23: Volume of ConesCones

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

Lesson 1: The Growing Pattern of DucksMore Visual Patterns
Lesson 8: Solution Sets for Equations and Inequalities in One VariableSame Position
Lesson 9: Solving Linear Equations in One VariableWorking Backwards
Solving Strategies
Lesson 12: Rearranging FormulasSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 13: Solving Linear Inequalities in One VariablePizza Delivery
Lesson 21: Describing Variability in a Univariate Distribution with Standard DeviationFinding Desmo

Module 2: Equations and Inequalities in Two Variables

Lesson 1: Solution Sets of Linear Equations in Two VariablesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 6: Applications of Linear Equations and InequalitiesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Pizza Delivery
Lesson 8: Systems of Linear Equations in Two VariablesShape It Up
Lizard Lines
Lesson 12: Solution Sets of Systems of Linear InequalitiesQuilts
Lesson 13: Graphing Solution Sets of Systems of Linear InequalitiesSeeking Solutions
Lesson 16: Using Lines to Model Bivariate Quantitative DataCity Data
Lesson 17: Modeling Relationships with a LinePenguin Populations
Lesson 18: Calculating and Analyzing ResidualsResidual Fruit
Lesson 20: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 21: Analyzing Bivariate Quantitative DataBehind the Headlines

Module 3: Functions and Their Representations

Lesson 7: Exploring Key Features of a Function and Its GraphCraft-a-Graph
Lesson 17: Piecewise Linear Functions in ContextPumpkin Prices

Module 4: Quadratic Functions

Topic A: Quadratic Functions and Their GraphsRobot Launch
Lesson 1: Falling ObjectsQuadratic Visual Patterns
Lesson 2: Projectile MotionStomp Rockets
Lesson 3: Analyzing Functions That Model Projectile MotionStomp Rockets in Space
Lesson 4: Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Lesson 5: Solving Equations that Contain Factored ExpressionsShooting Stars
Lesson 11: Graphing Quadratic Functions from Factored FormTwo for One
Parabola Zapper
Lesson 14: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 27: Search and Rescue HelicopterCity Data

Module 5: Linear and Exponential Functions

Topic A: Arithmetic and Geometric SequencesMore Visual Patterns
Sequence Carnival
Lesson 8: Exponential FunctionsCarlos’s Fish
Topic A: Arithmetic and Geometric SequencesSequence Carnival
Topic A: Arithmetic and Geometric SequencesRevisiting Visual Patterns, Part 1
Lesson 18: Modeling PopulationsSorting Relationships
Lesson 20: Comparing Growth of FunctionsPlane, Train, and Automobile
Sorting Relationships

Module 6: Modeling with Functions

Topic A: Modeling Bivariate Quantitative DataCity Data
Topic B: Developing Models for ContextsDetroit’s Population, Part 1
Detroit’s Population, Part 2

Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Welcome, K–8 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of two Reviewer binders. The K-5 Reviewer binder is contained within the Grade K shipping box and the Grade 6-8 Reviewer binder can be located in the Grade 6 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Maps

The links below provide the Standards Maps for Amplify Desmos Math California for each grade level.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

The links below provide the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at each grade level.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

The links below provide the alignment of Amplify Desmos Math California to the California English Language Development Standards at each grade level.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click the links below to view how the California Environmental Principles and Concepts are represented in each grade level.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center (linked below) for specific lesson designs and alignment with the Big Ideas for each grade level.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for each grade level. 

A chart displaying seven kindergarten math units with themes, number of instructional days, and assessment days, totaling 136 suggested instructional days.
Grade 1 instructional units overview showing 7 units on math topics, total suggested days is 153, with each unit listing instructional and assessment days.
Grade 2 math curriculum map showing 8 units with topics, number of instructional and assessment days, and total days; suggested instructional days: 156.
Seven instructional units are shown, each with a title, icon, number of instructional and assessment days, and total days; a note suggests 150 instructional days in total.
A Grade 4 math curriculum overview showing seven units with titles, number of instructional days, and assessment days; the suggested total instructional days is 152.
A curriculum map displays seven math units with icons, titles, instructional days, and assessment days, totaling 149 suggested instructional days.
A chart showing Grade 6 math units, each with instructional days, assessment days, and optional days. Total suggested instructional days is 142, plus 19 optional days.
Overview of Grade 7 math curriculum units, showing unit titles, number of instructional, assessment, and optional days for each, with a total of 125 instructional days plus 22 optional days.
Eight illustrated cards display Grade 8 math units, each with the unit title, topics covered, number of instructional and assessment days, and a total of 131 suggested instructional days.
Curriculum chart showing eight units split into two volumes, with topics, instructional days, assessment days, and optional days listed for each unit over an accelerated 6th-grade year.
A chart displays the breakdown of Accelerated 7 math units, indicating topics, number of instructional days, assessment days, and optional days for each of the nine units across two volumes.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

  • Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  
  • Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 
  • Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

  • Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.
  • Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.
  • Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.
  • Centers (K–5): Centers are hands-on activities for students in grades K–5 to play collaboratively to strengthen their understanding of key skills and concepts. In grades K–1, students have Daily Center Time built into every lesson. 
  • Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Kindergarten–Grade 1

A lesson plan timeline showing phases: Warm-Up (5–10 min, whole class), Lesson Activities (25–30 min), Synthesis (10 min), Centers (15 min), and Practice (time varies).

Grades 2–5

A horizontal flowchart shows a classroom lesson sequence: Warm-Up (5–10 min), Lesson Activities (35 min), Synthesis (10 min), and Practice (time varies); groupings vary.

Grades 6–8

A horizontal timeline shows four lesson segments: Warm-Up (5 min), Lesson Activities (30 min), Synthesis (10 min), and Practice (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

  • Pre-Unit Check: Each unit in grades 2–8 begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.
  • End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.
  • Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Grades Kindergarten through Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.
  • Sub-Unit Checklists: These checklists enable teachers to observe key skills and concepts that cannot be assessed on a pencil-and-paper assessment in Kindergarten–Grade 1. The checklists outline the supports students need to achieve mathematical growth and success.
  • Performance Tasks: At the end of each unit in grades 3–8, there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

  • Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 
  • Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Lesson facilitation supports

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Visual-spatial processing
  • Conceptual processing
  • Executive functioning
  • Memory and attention
  • Fine motor skills

Accessibility tools

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Unit Stories

Every unit in grades K–5 contains a Unit Story. These Unit Stories are brief fiction stories read aloud by the teacher at the beginning of each unit that connect to the math of the unit and introduce characters that students will get to know as they engage in the unit. Teachers read the story aloud from their Teacher Edition while projecting illustrations for students from the story, found in the Teacher Presentation Screens for the story. Across the unit, the Unit Story context and characters are used at appropriate points to inspire and engage students in the math as well as in reflections about their math identity and community.

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Grade K

Topic Opener Numbers 0 to 5

Topic Opener Numbers 0 to 5Connecting Cubes

Topic 1: Numbers 0 to 5

Lesson 1-2 Recognize 1, 2, and 3 in Different ArrangementsSkye’s Style
Lesson 1-5 Recognize 4 and 5 in Different ArrangementsMatching Groups
Designing Shoes with Skye
3-ACT MATH: Set the TableInvestigate: Cafeteria Math

Topic 3: Numbers 6 to 10

Lesson 3-2: Read, Make, and Write 6 and 7Moving and Grooving
Lesson 3-4: Read, Make, and Write 8 and 9Moving and Grooving
Lesson 3-6: Read, Make, and Write 10Moving and Grooving
Lesson 3-7: Count Numbers to 10Fingers as Math Tools

Topic 4: Compare Numbers 0 to 10

Lesson 4-1: Compare Groups to 10 by MatchingMore, Fewer, or the Same
Forest Friends
Lesson 4-2: Compare Numbers Using Numerals to 10Fingers and Counters
Lesson 4-3: Compare Groups to 10 by CountingComparing Words

Topic 6: Understand Addition

Interactive Math StoryInvestigate: Casey’s Town
Lesson 6-1: Explore AdditionHow Many Objects in Pictures?
The Bus Depot
Lesson 6-2: Represent Addition as Adding ToHow Will You Count?
Lesson 6-3: Represent Addition as Putting TogetherHow Many Objects?
Lesson 6-4: Represent and Explain Addition with EquationsWhat Does It Mean to Add?

Topic 7: Understand Subtraction

Lesson 7-1: Explore SubtractionWhat Does It Mean to Subtract?
The Bus Depot

Topic 8: More Addition and Subtraction

Lesson 8-5: Decompose 6 and 7 to Solve ProblemsHarry Explores the Ocean
Lesson 8-6: Decompose 8 and 9 to Solve ProblemsHarry Explores the Ocean
Lesson 8-8: Decompose 10 to Solve ProblemsHarry Explores the Ocean

Topic 12: Identify and Describe Shapes

Lesson 12-2: Circles and TrianglesWhat’s That Shape Called?
Lesson 12-3: Squares and Other RectanglesAnother Shape

Topic 13: Analyze, Compare, and Create Shapes

Lesson 13-1: Analyze and Compare Two-Dimensional (2-D) ShapesAnother Shape
So Much Sorting

Grade 1

Topic 1: Understand Addition and Subtraction

Lesson 1-4: Take FromPacking for a Picnic
What’s the Difference?
Lesson 1-7: Change UnknownReplanting Huli
Lesson 1-8: Practice Adding and SubtractingLeaping Lily Pads!

Topic 2: Fluently Add and Subtract Within 10

enVision STEM ProjectA Community Working Together
Topic 2 Interactive Math StoryInvestigate: Let’s Grow!
Lesson 2-8: Solve Word Problems with Facts to 10Tutu’s Garden in Maui
The Kalo Plants
Helping Others

Topic 3: Addition Facts to 20: Use Strategies

Lesson 3-5: Make 10 to AddMaking 10
Lesson 3-6: Continue to Make 10 to AddKitten Coaster

Topic 6: Represent and Interpret Data

Lesson 6-1: Organize Data into Three CategoriesShapes Ying Saw

Topic 7: Extend the Counting Sequence

Lesson 7-1: Count by 10s to 120Meeting Yara
Grade 1 Lesson 7-5: Count on an Open Number LineTime to Line Up!
Grade 1 Lesson 7-5: Count on an Open Number LineWhat’s That Number?

Topic 8: Understand Place value

Lesson 8-1: Make Numbers 11 to 19Same Number, Different Ways
Lesson 8-2: Numbers Made with TensInvestigate: Game Points
It’s a Match

Topic 9: Compare Two-Digit Numbers

Lesson 9-3: Compare NumbersInvestigate: Where Am I?
Grade 1 Lesson 9-5: Compare Numbers on a Number LineGreater Than, Less Than, or Equal to
Grade 1 Lesson 9-5: Compare Numbers on a Number LineIn Full Bloom

Topic 10: Use Models and Strategies to Add Tens and Ones

Lesson 10-1: Add Tens Using ModelsHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Topic 11: Use Models and Strategies to Subtract Tens

Lesson 11-1: Subtract Tens Using ModelsBoris’s Thimbles
Lesson 11-2: Subtract Tens Using a Hundred ChartHow Many Tens?

Topic 14: Reason with Shapes and Their Attributes

Lesson 14-1: Use Attributes to Define Two-Dimensional (2-D) ShapesShapes Ying Saw

Grade 2

Topic 1: Fluently Add and Subtract Within 20

Lesson 1-1: Addition Fact StrategiesExploring Within 10
Lesson 1-3: Make a 10 to AddWays to Make 10

Topic 8: Work with Time and Money

Lesson 8-1: Solve Problems with CoinsInvestigate: Activities at the Block Party
Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 8-2: Continue to Solve Problems with CoinsHow Much Money?
Discovering Coins (Part 2)
Lesson 8-5: Problem Solving: ReasoningThe Toy Stand
The Craft Stand at the Block Party

Topic 12: Measuring Length

Lesson 12-8: Compare LengthsLengths of Jungle Animals

Topic 15: Graphs and Data

Lesson 15-1: Line PlotsMessy Measurements
Lesson 15-2: More Line PlotsBracelets and Wristbands
Lesson 15-3: Bar GraphsAwesome Aquariums

Grade 3

Topic 1: Understand Multiplication and Division of Whole Numbers

Lesson 1-1: Relate Multiplication and AdditionEqual Groups
Lesson 1-3: Arrays and PropertiesArrays of Flavor

Topic 4: Use Multiplication to Divide: Division Facts

Lesson 4-1: Relate Multiplication and DivisionIt’s Chili in Here
Relating Quotients to Familiar Products
Lesson 4-8: Solve Multiplication and Division EquationsDivision and Multiplication Equations

Topic 6: Connect Area to Multiplication and Addition

Lesson 6-1: Cover RegionsInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 6-2: Area: Nonstandard UnitsTiling Figures
Lesson 6-3: Area: Standard UnitsArea Hunt
Lesson 6-4: Area of Squares and RectanglesRectangles and Arrays

Topic 7: Represent and Interpret Data

Lesson 7-3: Make Bar GraphsPuppy Pile
2, 5, or 10?

Topic 8: Use Strategies and Properties to Add and Subtract

Topic 8 VocabularyInvestigate: Create a Photo Gallery
Lesson 8-2: Algebra: Addition PatternsPanda Patterns
Lesson 8-3: Mental Math: AdditionHow Would You Solve It?

Topic 9: Fluently Add and Subtract within 1,000

Lesson 9-1: Use Partial Sums to AddAdding Your Way
What is an Algorithm?
Lesson 9-2: Use Regrouping to AddUsing Fewer Digits
Lesson 9-3: Add 3 or More NumbersDetermining Sums of 2 or More Addends
Lesson 9-6: Use Strategies to Add and SubtractAdding Strategically

Grade 4

Topic 7: Factors and Multiples

3-ACT MATH: Can-Do AttitudeHamster Homes
Lesson 7-2: FactorsFactor or Multiple?
Lesson 7-4: Prime and Composite NumbersA Number Game
Lesson 7-5: MultiplesFactor or Multiple?
How Does It Grow?

Topic 8: Extend Understanding of Fraction Equivalence and Ordering

Lesson 8-2: Equivalent Fractions: Number LinesInvestigate: Building Your Own Number Line
All Kinds of Fractions
Lesson 8-5: Use Benchmarks to Compare FractionsFraction Strips
Lesson 8-5: Use Benchmarks to Compare FractionsChop It

Topic 9: Understand Addition and Subtraction of Fractions

Lesson 9-1: Model Addition of FractionsPizza Problems
Lesson 9-4: Model Subtraction of FractionsPizza Problems
Lesson 9-2: Decompose FractionsMath Pizzeria

Topic 10: Extend Multiplication Concepts to Fractions

Lesson 10-1: Fractions as Multiples of Unit FractionsEqual Groups of Fractions

Topic 12: Understand and Compare Decimals

Topic 12 Review What You KnowInvestigate: Different Units
Lesson 12-1: Fractions and DecimalsA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-2: Fractions and Decimals on the Number LineAre They Equivalent?
What’s the Order?
Lesson 12-3: Compare DecimalsHow Can You Compare?
Robot Factory

Grade 5

Topic 3: Fluently Multiply Multi-Digit Whole Numbers

Lesson 3-5: Multiply 3-Digit by 2-Digit NumbersPartial Products Everywhere
Lesson 3-7: Practice Multiplying Multi-Digit NumbersHow Do They Compare?

Topic 5: Use Models and Strategies to Divide Whole Numbers

Lesson 5-4: Use Partial Quotients to DivideEmptying the Water Tank

Topic 8: Apply Understanding of Multiplication to Multiply Fractions

Lesson 8-3: Multiply Fractions and Whole NumbersMaking Food
Lesson 8-4: Use Models to Multiply Two FractionsInvestigate: Folding Paper
Parts of Parts
One Part of One Part
Lesson 8-5: Multiply Two FractionsMaking Food
Messy Multiplication
Lesson 8-6: Area of a RectangleInstalling Turf
Rows and Columns
Lesson 8-7: Multiply Mixed NumbersApplying Fraction Multiplication
Messy Multiplication
Lesson 8-8: Multiplication as ScalingChores at Animal Haven
The Re-size-inator

Topic 9: Apply Understanding of Division to Divide Fractions

Topic 11: Understand Volume Concepts

Lesson 11-1: Model VolumeWhich is Largest
3-ACT Math: Fill ‘er UpPacking the Barge
Lesson 11-3: Combine Volumes of PrismsPutting It Together
Figures Made of Prisms

Algebra 1

No lessons focused on only shape patterns.

Topic 1: Solving Equations and Inequalities

Lesson 1-2: Solving Linear EquationsWorking Backwards
Solving Strategies
Lesson 1-3: Solving Linear Equations With a Variable on Both SidesSame Position
Lesson 1-4: Literal Equations & FormulasSubway Seats
Various Variables
Lesson 1-5: Solving Inequalities in One VariablePizza Delivery

Topic 2: Linear Equations

Lesson 2-3: Standard FormShelley the Snail
Five Representations

Topic 3: Linear Functions

Lesson 3-4: Arithmetic SequenceMore Visual Patterns
Sequence Carnival
Lesson 3-5: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 3-6: Analyzing Lines of FitResidual Fruit
Penguin Populations
Behind the Headlines
City Data

Topic 4: Systems of Linear Equations and Inequalities

Lesson 4-1: Solving Systems of Linear Equations by GraphingLizard Lines
Lesson 4-2: Solving Systems of Equations by SubstitutionShape It Up
Lesson 4-5: Systems of Linear InequalitiesQuilts
Seeking Solutions

Topic 5: Piecewise Functions

Lesson 5-2: Piecewise Defined FunctionsCraft-a-Graph
Pumpkin Prices

Topic 6: Exponents and Exponential Functions

Lesson 6-3: Exponential FunctionsCarlos’s Fish
Lesson 6-5: Geometric SequencesRevisiting Visual Patterns, Part 1
Sequence Carnival
More Visual Patterns

Topic 8: Quadratic Functions

Lesson 8-1: Key Features of a Quadratic FunctionRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Lesson 8-3: Quadratic Functions in Standard FormPlenty of Parabolas
Two for One
Lesson 8-4: Modeling with Quadratic FunctionsStomp Rockets
Robot Launch
Lesson 8-5: Linear, Exponential and Quadratic ModelsSorting Relationships

Topic 9: Solving Quadratic Equations

Lesson 9-1: Solving Quadratics Using Graphs and TablesStomp Rockets
Lesson 9-2: Solving Quadratic Equations by FactoringParabola Zapper
Shooting Stars
Lesson 9-4: Completing the SquareSquare Tactic
Lesson 9-5: The Quadratic Formula and the DiscriminantStomp Rockets in Space

Topic 10: Working with Functions

Lesson 10-1: The Square Root Function ( & average rate of change)Plane, Train, and Automobile
Lesson 10-3: Analyzing Functions Graphically (Abs, Quad, Sq.Root, Exp, Cubic)Craft-a-Graph
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Lesson 10-7: Inverse FunctionsChip the Robot

Topic 11: Statistics

Lesson 11-4: Standard DeviationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade K

Unit 1: Position, Length, Height, and Sorting

Lesson 2: Describe and Compare Length and Height, Session 3Connecting Cubes

Unit 2: Numbers to 5, Shapes and Weight

Lesson 4: Count, Show and Write Numbers to 5, Session 2Skye’s Style
Lesson 5: Compare Numbers to 5, Session 4Matching Groups
Lesson 5: Compare Numbers to 5, Session 5Designing Shoes With Skye
Lesson 6: Three-Dimensional Shapes and Weight, Session 1What’s That Shape?
Lesson 6: Three-Dimensional Shapes and Weight, Session 2Building Solid Shapes
Lesson 6: Three-Dimensional Shapes and Weight, Session 5Putting Solid Shapes Together

Unit 3: Addition and Subtractions with 5 and Shapes,

Lesson 8: Two-Dimensional Shapes,
Session 1
So Much Sorting
Lesson 8: Two-Dimensional Shapes,
Session 2
What’s That Shape Called?
Another Shape

Unit 4: Numbers to 10 and Shapes

Lesson 11: Count, Show, and Write Numbers to 10, Session 1Investigate: Cafeteria Math
Fingers as Math Tools
Lesson 12: Compare Numbers to 10, Session 1Moving and Grooving
Fingers and Counters
Lesson 12: Compare Numbers to 10, Session 2More, Fewer, or the Same
Comparing Words
Lesson 12: Compare Numbers to 10, Session 5Forest Friends
Lesson 14: Compose and Decompose 10, Session 2Harry’s Hamster Wheel
Lesson 14: Compose and Decompose 10, Session 3Harry Explores Space
Lesson 14: Compose and Decompose 10, Session 4Showing What We Know About 10
Lesson 14: Compose and Decompose 10, Session 5Harry Explores the Ocean

Unit 6: Addition and Subtraction Within 10

Lesson 20: Add Within 10, Session 1Investigate: Casey’s Town
What Does It Mean to Add?
Lesson 20: Add Within 10, Session 2How Many Objects?
Lesson 20: Add Within 10, Session 3How Many Objects in Pictures?
How Will You Count?
Lesson 21: Subtract Within 10, Session 1What Does It Mean to Subtract?
Lesson 22: Add and Subtract to Solve Wold Problems, Session 1The Bus Depot

Unit 7: Teen Numbers and Shapes

Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 2Investigate: Packing Snacks
Getting Ready for the Game
Pass, Shoot, Score
Lesson 23: Compose and Decompose Teen Numbers with Tools and Drawings, Session 3How Many on the Field?
Lesson 25: Compose and Decompose Teen Numbers with Symbols, Session 2Jersey Jam!
People at the Park

Grade 1

Unit 1: Relating Addition and Subtraction

Lesson 2: Add and Subtract Within 10, Session 1What’s the Difference?
Leaping Lily Pads!
Investigate: Let’s Grow!
Lesson 2: Add and Subtract Within 10, Session 3Packing a Picnic
Lesson 5: Solve Word Problems to 10, Session 2Tutu’s Garden in Maui
Lesson 5: Solve Word Problems to 10, Session 2Replanting Huli
Lesson 5: Solve Word Problems to 10, Session 3The Kalo Plants
Lesson 5: Solve Word Problems to 10, Session 4A Community Working Together
Lesson 5: Solve Word Problems to 10, Session 5Helping Others

Unit 2: Addition and Subtraction Within 20

Lesson 6: Teen Numbers, Session 2Same Number, Different Ways
Lesson 7: Add Three Numbers, Session 2Making 10
Kitten Coaster

Unit 4: Using Tens and Ones to Organize and Count

Lesson 15: Tens and Ones, Session 1Investigate: Game Points
Lesson 15: Tens and Ones, Session 3Meeting Yara
It’s a Match
Lesson 16: Numbers to 120, Session 1How Many Cubes?
Boris’s Thimbles
Lesson 21: Add Two-Digit Numbers, Session 1How Many Tens?
Investigate: Squashes at the Playground
Lesson 21: Add Two-Digit Numbers,
Session 2
Town Helpers
Lesson 21: Add Two-Digit Numbers,
Session 3
Making Squash Butter

Unit 5: Operations with Tens and Ones

Lesson 19: Addition with Two-Digit Numbers, Session 2From Park to Table

Unit 6: Geometry and Measurement

Lesson 22: Shapes, Session 1Shapes Ying Saw
Lesson 23: Break Shapes Into Equal Parts, Session 2Fair and Square
One of the Parts, All of the Parts
Lesson 23: Break Shapes Into Equal Parts, Session 5A Bigger Part

Grade 1 (ADM G2)

Unit 1: Relating Addition and Subtraction

Lesson 1: Partner Pairs for 10, Session 3Ways to Make 10
Lesson 2: Add and Subtract Within 10, Session 3Exploring Within 10

Grade 2

Unit 1: Numbers Within 20

Lesson 2: Using Mental Math Strategies to Subtract, Session 1Awesome Aquariums

Unit 2: Numbers Within 100

Lesson 10: Solve Word Problems Involving Money, Session 1Investigate
Lesson 10: Solve Word Problems Involving Money, Session 2Discovering Coins (Part 1)
The Toy Stand
Lesson 10: Solve Word Problems Involving Money, Session 3How Much Money?
Discovering Coins (Part 2)
Lesson 10: Solve Word Problems Involving Money, Session 4The Craft Stand at the Block Party

Unit 3: Numbers Within 1000

Lesson 12: Three-Digit Numbers, Session 1Investigate: A Mistake in Mom’s Office
What Makes a Hundred?
Lesson 12: Three-Digit Numbers, Session 2Looking for Patterns
Lesson 13: Read and Write Three-Digit Numbers, Session 1What’s the Value?
Lesson 13: Read and Write Three-Digit Numbers, Session 2Mail Call!
Lesson 13: Read and Write Three-Digit Numbers, Session 3A New Representation
What’s Your Name?
All the Ways!
Lesson 15: Mental Addition and Subtraction, Session 2Turtle Hurdle
Lesson 16: Add Three-Digit Numbers, Session 2There’s Something About Berries
Lesson 18: Using Addition and Subtraction Strategies with Three-Digit Numbers, Session 2Baking With Skunk

Unit 4: Length

Lesson 25: Solving Problems About Length, Session 2Lengths of Jungle Animals
Lesson 27: Sorting and Organizing Data, Session 1Messy Measurements
Lesson 27: Sorting and Organizing Data, Session 3Bracelets and Wristbands
Lesson 26: Add and Subtract on the Number Line, Session 1Investigate
Time to Line Up!
In Full Bloom
Lesson 26: Add and Subtract on the Number Line, Session 2What’s That Number?
Lesson 26: Add and Subtract on the Number Line, Session 3Greater Than, Less Than, or Equal to

Unit 5: Shapes and Arrays

Lesson 28: Recognize and Draw Shapes, Session 2Frame It!
Lesson 28: Recognize and Draw Shapes, Session 3Measure It, Draw It
Lesson 32: Even and Odd Numbers,
Session 1
Can You Share?
Lesson 32: Even and Odd Numbers,
Session 2
Everybody, Find A Partner!
Lesson 32: Even and Odd Numbers,
Session 3
Is It Even or Odd?

Grade 2 (ADM G3)

Unit 2: Numbers Within 100

Lesson 6: Adding Two-Digit Numbers, Session 1Panda Patterns
Lesson 12: Understand Three-Digit Numbers, Session 2Investigate: Creating a Photo Gallery
Lesson 16: Add Three-Digit Numbers, Session 2How Would You Solve It?
Adding Your Way
What Is an Algorithm?
Lesson 16: Add Three-Digit Numbers, Session 3Using Fewer Digits
Determining Sums of 2 or More Addends
Lesson 16: Add Three-Digit Numbers, Session 3Adding Strategically

Unit 4: Length

Lesson 27: Read and Make Line Plots, Session 2The Plot Chickens
Let’s Make a Line Plot

Grade 3

Unit 2: Multiplication and Division

Lesson 4: Understand the Meaning of Multiplication, Session 1Equal Groups
Lesson 6: Multiply with 3, 4, and 6, Session 2Rectangles and Arrays
Lesson 8: Use Order and Grouping to Multiply, Session 2Arrays of Flavor
Lesson 11: Understand How Multiplication and Division Are Connected, Session 1It’s Chili in Here!
Lesson 12: Multiplication and Division Facts, Session 3Relating Quotients to Familiar Products

Unit 3: Multiplication

Lesson 19: Scaled Graphs, Session 1Puppy Pile
Lesson 19: Scaled Graphs, Session 42, 5, or 10?
Lesson 14: Understand Area, Session 1Tiling Figures
Lesson 14: Understand Area, Session 2Which Covers More Space?
Lesson 15: Multiply to Find Area, Session 3Area Hunt
Lesson 17: Solve One-Step Word Problems Using Multiplication and Division, Session 2Division and Multiplication Equations

Unit 4: Fractions

Lesson 21: Understand Fractions on a Number Line, Session 1Cat Crossing
Lesson 21: Understand Fractions on a Number Line, Session 2Fractions on the Number Line
Lesson 21: Understand Fractions on a Number Line, Session 3Location, Location, Location

Unit 6: Shapes

Performance TaskInvestigate: Comparing Rugs
Lesson 30: Understand Categories of Shapes, Session 1Piho’s Shapes
Lesson 31: Classify Quadrilaterals, Session 1Rectangles, Squares, and Rhombuses
Lesson 31: Classify Quadrilaterals, Session 3More Quadrilaterals

Grade 4

Unit 2: Operations

Lesson 6: Understand Multiplication as a Comparison, Session 1Sticker Mania
Lesson 6: Understand Multiplication as a Comparison, Session 2Representing “Times as Many”
Going Swimming
Lesson 8: Multiples and Factors, Session 1Hamster Homes
Lesson 8: Multiples and Factors, Session 3Factor or Multiple?
Lesson 8: Multiples and Factors, Session 4A Number Game
Lesson 9: Number and Shape Patterns, Session 1How Does It Grow?

Unit 3: Multi-Digit Operations and Measurement

Lesson 11: Multiply by One-Digit Numbers, Session 1Investigate: Packing Lei
Counting Flowers for Lei
Lesson 11: Multiply by One-Digit Numbers, Session 3A Lei Making Workshop
A Reasonable Answer
Three of a Kind
Lesson 12: Multiply by Two-Digit Numbers, Session 2Growing Flowers for the Lei
Double Decomposition
Lesson 12: Multiply by Two-Digit Numbers, Session 3Revisiting Strategies
How Many Supplies?

Unit 4: Fractions, Decimals, and Measurement

Lesson 17: Understand Equivalent Fractions, Session 1Investigate: Building Your Own Number Line
Fraction Strips
Lesson 18: Understand Equivalent Fractions, Session 3Chop It
All Kinds of Fractions
Lesson 19: Fraction Addition and Subtraction, Session 1Pizza Problems
Lesson 20: Add and Subtract Fractions, Session 4Math Pizzeria
Lesson 24: Multiply Fractions by Whole Numbers, Session 2Equal Groups of Fractions
Lesson 25: Fractions as Tenths and Hundredths, Session 3Investigate: Different Units
Lesson 26: Relate Decimals and Fractions, Session 2A New Way to Write Tenths
A New Way to Write Hundredths
Lesson 26: Relate Decimals and Fractions, Session 4Are They Equivalent?
Lesson 27: Compare Decimals, Session 2How Can You Compare?
Lesson 27: Compare Decimals, Session 3Robot Factory
Lesson 27: Compare Decimals, Session 4What’s the Order

Unit 5: Geometry and Measurement

Lesson 30: Points, Lines, Rays, and Angles, Session 3Angle Adventures
Lesson 31: Angles, Session 1The Spin on Angles
Lesson 32: Add and Subtract with Angles, Session 3Angles in Motion

Grade 5

Unit 1: Whole Number Operations and Applications

Lesson 2: Find Volume Using Unit Cubes, Session 1Which is Largest
Lesson 2: Find Volume Using Unit Cubes, Session 2Packing the Barge
Lesson 3: Find Volume Using Formulas, Session 3Putting it Together
Figures Made of Prisms
Lesson 4: Multiply Multi-Digit Numbers, Session 1Partial Products Everywhere
Lesson 4: Multiply Multi-Digit Numbers, Session 4How Do They Compare?
Lesson 5: Divide Multi-Digit Numbers, Session 4Emptying the Water Tank

Unit 2: Decimals and Fractions

Lesson 6: Understand Decimal Place Value, Session 1Investigate: Numbers Between Numbers
Lesson 6: Understand Decimal Place Value, Session 2What Is One Thousandth?
Lesson 8: Read and Write Decimals,
Session 1
Say What?
Place Value Patterns
Lesson 9: Compare and Round Decimals, Session 2Selling Collectibles
Lesson 9: Compare and Round Decimals, Session 3The Claw
Which Way Down the Mountain?
Lesson 9: Compare and Round Decimals, Session 4Rounding Races
Lesson 7: Understand Powers of 10, Session 1Monarch Butterflies
All About That Base
Powers of 10 Parade

Unit 3: More Decimals & Fractions

Lesson 18: Fractions as Division, Session 1Investigate: Sharing Sandwiches
Division Story Problems
Making Generalizations
Investigate: Folding Paper
Lesson 18: Fractions as Division, Session 2Sharing More Sandwiches
Dance Breaks
Lesson 19: Multiplication by a Fraction, Session 2Parts of Parts
Lesson 20: Multiply Fractions to Find Area, Session 2One Part of One Part
Lesson 20: Multiply Fractions to Find Area, Session 3Making Food
Lesson 22: Multiply Fractions in Word Problems, Session 3Installing Turf
Rows and Columns
Lesson 22: Multiply Fractions in Word Problems, Session 4Messy Multiplication
Applying Fraction Multiplication
Lesson 21: Exploring Multiplication as Scaling, Session 1Chores at Animal Haven
The Re-size-inator

Unit 5: Algebraic Thinking and the Coordinate Plane

Lesson 31: Understand the Coordinate Plane, Session 1Bullseye!
Lesson 31: Understand the Coordinate Plane, Session 2Creating a Coordinate System
Coordinating Satellite Repairs

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomAmplify Classroom
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Lesson 7: Add, Subtract, and Multiply Multi-Digit DecimalsUnit 4
Lesson 1: Dishing Out Decimals
Lesson 8: Divide Whole Numbers and Multi-Digit DecimalsUnit 5
Lesson 13: Movie Time
Lesson 9: Understand Division with FractionsUnit 4
Lesson 3: Flour Planner
Lesson 10: Divide FractionsUnit 4
Lesson 6: Fill the Gap

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Lesson 12: Understand Ratio ConceptsUnit 2
Lesson 1: Pizza Maker
Lesson 13: Find Equivalent RatiosUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation

Unit 4: Ratio Reasoning: Unit Rates and Percent

Lesson 15: Understand Rate ConceptsUnit 3
Lesson 1: Many Measurements
Lesson 16: Use Unit Rates to Solve ProblemsUnit 3
Lesson 6: Soft Serve
Lesson 17: Understand PercentsUnit 3
Lesson 9: Lucky Duckies

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Lesson 19: Write and Identify Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 22: Analyze Two-Variable RelationshipsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It?
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 4: Order in the Class
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 7: Tunnel Travels

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Lesson 30: Use Dot Plots and Histograms to Describe Data DistributionsUnit 8
Lesson 3: Minimum Wage
Lesson 5: The Plot Thickens
Lesson 31: Interpret Median and Interquartile Range in Box PlotsUnit 8
Lesson 11: Toy Cars

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

iReady ClassroomAmplify Classroom
Lesson 2: Find Unit Rates Involving Ratios and FractionsUnit 2
Lesson 1: Paint
Lesson 4: Represent Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 5: Solve Proportional Relationship Problems
Lesson 6: Solve Area and Circumference Problems Involving CirclesUnit 3
Lesson 3: Measuring Around
Lesson 9: Area Challenges

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Lesson 7: Understand Addition with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 8: Add with Negative NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 9: Understand Subtraction with Negative IntegersUnit 5
Lesson 1: Floats and Anchors
Lesson 10: Add and Subtract Positive and Negative NumbersUnit 5
Lesson 1: Floats and Anchors

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Lesson 19: Write and Solve InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Lesson 20: Solve Problems Involving Percents Unit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 22: Understand Random SamplingUnit 8
Lesson 2: Prob-bear-bilities
Lesson 24: Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomAmplify Classroom
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Lesson 4: Understand Dilations and SimilarityUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Describe Angle RelationshipsUnit 2
Lesson 6: Social Scavenger Hunt
Lesson 7: Describe Angle Relationships in TrianglesUnit 1
Lesson 12: Puzzling It Out

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 5: The Tortoise and the Hare

Unit 5: Integer Exponents: Properties and Scientific Notation

Lesson 19: Apply Exponent Properties for Positive Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 22: Work with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 4: Root Down
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresUnit 8
Lesson 11: Cylinders
Lesson 13: Cones

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade K

Unit 1: Math Is…

Lesson 1-2: Math is Exploring and ThinkingConnecting Cubes

Unit 4: Sort, Classify and Count Objects

Lesson 4-1: Alike and DifferentSo Much Sorting
Lesson 4-2: Sort Objects into GroupsSo Much Sorting
Lesson 4-3: Count Objects in GroupsWhat’s that Shape called?
Another Shape

Unit 5: 2-Dimensional Shapes

Lesson 5-1: TrianglesWhat’s that Shape called?
Lesson 5-2: Squares and RectanglesAnother Shape
Lesson 5-4: CirclesWhat’s that Shape called?

Unit 6: Understand Addition

Lesson 6-1: Represent and Solve Add To ProblemsHow Many Objects?
Lesson 6-2: Represent and Solve More Add to ProblemsWhat does it mean to add?
Lesson 6-3: Represent and Solve Put Together ProblemsWhat does it mean to add?

Unit 7: Understand Subtraction

Lesson 7-1: Represent Take Apart ProblemsWhat does it mean to subtract?
Lesson 7-2: Represent and Take From ProblemsWhat does it mean to subtract?

Unit 8: Addition and Subtraction Strategies

Lesson 8-4: Ways to Decompose 6 and 7Harry Explores the Ocean
Lesson 8-6: Ways to Decompose 8 and 9Harry Explores the Ocean
Lesson 8-7: Ways to Make 10Harry Explores Space
Lesson 8-8: Ways to Decompose 10Showing What We Know About 10

Unit 13: Analyze, Compare and Compose Shapes

Lesson 13-1: Compare and Contrast 2-Dimensional ShapesWhat’s that Shape called?

Unit 14: Compare Measurable Attributes

Lesson 14-1: Describe Attributes of ObjectsAnother Shape

Grade 1

Unit 2: Number Patterns

Lesson 2-5: Patterns when Representing Objects in a GroupMeeting Yara

Unit 3: Place Value

Lesson 3-1: Numbers 11 to 19Same Number, Different Ways
Lesson 3-2: Understand 10sBoris’s Thimbles
Lesson 3-4: Represent 2-DigitsSame Number, Different Ways
Lesson 3-5: Represent 2-Digits in Different WaysSame Number, Different Ways

Unit 4: Addition within 20: Facts and Strategies

Lesson 4-1: Relate Counting to AdditionInvestigate: Game Points
Meeting Yara
Lesson 4-5: Make a Ten to AddMaking 10
Lesson 4-9: Find an Unknown Number in an Addition EquationA Community Working Together
Lesson 4-10: Understand The Equal SignKitten Coaster
Lesson 4-11: True Addition EquationsKitten Coaster
Replanting Huli

Unit 5: Subtraction within 20: Facts and Strategies

Lesson 5-1: Relate Counting to SubtractionPacking a Picnic

Unit 7: Meanings of Addition

Lesson 7-1: Represent and Solve Add to ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 7-2: Represent and Solve More Add to ProblemsHelping Others

Unit 8: Meanings of Subtraction

Lesson 8-1: Represent and Solve Take From ProblemsThe Kalo Plants
Tutu’s Garden in Maui
Lesson 8-2: Represent and Solve More Take From ProblemsHelping Others

Unit 13: Equal Shares

Lesson 13-1: Understand Equal SharesA Bigger Part
Lesson 13-2: Partition Shapes into HalvesFair and Square
Lesson 13-3: Partition Shapes into FourthsFair and Square
Lesson 13-4: Describe the WholeOne of the Parts, All of the Parts
Lesson 13-5: Describe the Halves and Fourths of ShapesOne of the Parts, All of the Parts

Grade 2

Unit 2: Place Value to 1,000

Lesson 2-1: Understand HundredsWhat Makes a Hundred?
Lesson 2-2: Understand 3-digit numbersWhat’s the Value?
Lesson 2-3: Read and Write Numbers to 1000All the Ways!
Lesson 2-4: Decompose 3-digit numbersA New Representation

Unit 3: Patterns within Numbers

Lesson 3-1: Counting PatternsInvestigate: A Mistake in Mom’s Office
Lesson 3-2: Patterns when Skip Counting by 5?What’s that Number?
Lesson 3-3: Patterns when Skip Counting by 10s and 100sLooking for Patterns

Unit 4: Meanings of Addition and Subtraction

Lesson 4-7: Represent and Solve Compare ProblemsAwesome Aquariums

Unit 5: Strategies to Add Fluently Within 100

Lesson 5-9: Add More Than Two NumbersHow Much Money?

Unit 7: Measure and Compare Lengths

Lesson 7-10: Solve Problems using LengthLengths of Jungle Animals

Unit 8: Measurement, Time and Money

Lesson 8-1: Understand the Value of CoinsDiscovering Coins (Part I)
Discovering Coins (Part 2)
Lesson 8-2: Solving Money Problems Using CoinsHow Much Money?

Unit 9: Strategies to Add 3-Digit Numbers

9-2: Represent Addition with 3-Digit NumbersThere’s Something About Berries
9-3: Represent Addition with 3-Digit Numbers With RegroupingBaking with Skunk

Unit 11: Data Analysis

Lesson 11-5: Understand Line PlotsMessy Measurements
Lesson 11-6: Show Data on a Line PlotBracelets and Wristbands

Grade 3

Unit 2: Use Place Value Fluently to Add and Subtract within 1001

Lesson 2-3: Estimate Sums and DifferencesAdding Strategically
Lesson 2-6: Use Partial Sums to AddWhat is an Algorithm
Lesson 2-10: Fluently Add Within 1,000How Would You Solve It?
Determining the Sum of 2 or More Addends

Unit 3: Multiplication and Division

Lesson 3-1: Understand Equal GroupsEqual Groups
Lesson 3-3: Understand the Commutative PropertyArrays of Flavor
Lesson 3-7: Find the UnknownIt’s Chilli In Here!

Unit 4: Use Patterns to Multiply by 0,1, 2, 5 and 11

Lesson 4-6: Solve Problems Using Equal GroupsDivision and Multiplication Equations

Unit 6: Connect Area and Multiplication

Lesson 6-1: Understand AreaTiling Figures
Lesson 6-2: Count Unit Squares to Determine AreaRectangles and Arrays
Unit 2: Lesson 4: Area Hunt

Unit 7: Fractions

Lesson 7-5: Represent Whole Numbers as FractionsCat Crossing
Lesson 7-6: Represent a Greater Than One on a Number LineFractions on the Number Line

Unit 9: Use Multiplication to Divide

Lesson 9-1: Use Multiplication to Solve Division ProblemsRelating Quotients to Familar Products

Unit 12: Measurement and Data

Lesson 12-10: Measure to Halves or Fourths of an InchHow Long Is It?
More Precise Measurements
Lesson 12-11: Show Measurement Data on a Line PlotThe Plot Chickens

Unit 13: Describe and Analyze 2-Dimensional Shapes

Lesson 13-1: Describe and Classify PolygonsPiho’s Shapes
Lesson 13-2: Classify QuadrilateralsRectangles, Squares and Rhombuses

Grade 4

Unit 4: Multiplication as Comparison

Lesson 4-1: Understanding Comparing with MultiplicationRepresenting “Times as Many”
Lesson 4-2: Represent Comparison ProblemsSticker Mania
Lesson 4-3: Solve Comparison Problems Using MultiplicationGoing Swimming

Unit 5: Numbers and Number Patterns

Lesson 5-1: Understand Factors of a NumberHamster Homes
Lesson 5-3: Understand MultiplesFactor or Multiple
Lesson 5-4: Number or Shape PatterrnsHow Does it Grow?
Lesson 5-5: Generate a PatternHow Does it Grow?

Unit 6: Multiplication Strategies with Multi-Digit Numbers

Lesson 6-2: Estimate ProductsA Reasonable Answer
Lesson 6-4: Multiply 2-Digit by 1-Digit FactorsCounting Flowers for Lei
Lesson 6-5: Multiply Multi-Digit 1-Digit FactorsA Lei Making Workshop
Lesson 6-7: Multiply 2-Digit FactorsDouble Decomposition

Unit 9: Addition and Subtractions Meanings and Strategies with Fractions

Lesson 9-2: Represent Adding FractionsPizza Problems
Lesson 9-3: Add Fractions with Like DenominatorsPizza Problems
Lesson 9-4: Represent Subtracting FractionsPizza Problems
Lesson 9-5: Subtract Fractions with Like DenominatorsPizza Problems
Lesson 9-6: Solve Problems Using FractionsPizza Problems

Unit 10: Addition and Subtraction Strategies with Mixed Numbers

Lesson 10-1: Understand Decomposing Mixed NumbersMath Pizzeria

Unit 11: Multiply Fractions by Whole Numbers

Lesson 11-1: Represent Multiplication of a Unit Fraction by a Whole NumberEqual Groups of Fractions

Unit 12: Decimal Fractions

Lesson 12-2: Understand Decimal NotationA New Way to Write Tenths
A New Way to Write Hundredths
Lesson 12-3: Compare DecimalsCan You Compare?

Grade 5

Unit 2: Volume

Lesson 2-2: Use Unit Cubes to Determine VolumePutting It Together
Lesson 2-3: Use Formula to Determine VolumePutting It Together
Lesson 2-4: Determine the Volume of Composite FiguresFigures Made of Prisms

Unit 3: Place Value and Number Relationships

Lesson 3-1: Generalize Place ValuePlace Value Patterns
Lesson 3-4: Compare DecimalsSelling Collectibles
Lesson 3-5: Use Place Value to Round DecimalsWhich Way Down the Mountain?

Unit 5: Multiply Multi-Digit Whole Numbers

Lesson 5-1: Understand Powers and ExponentsMonarch Butterflies
Lesson 5-2: Patterns When Multiplying a Whole Number by Powers of 10All About that Base
Lesson 5-5: Use Partial Products to Multiply Multi-Digit FactorsHow Do They Compare?
Lesson 5-6: Relate Partial Products to an AlgorithmPatrial Products Everywhere
Lesson 5-7: Multiply Multi-Digit Factors FluentlyPatrial Products Everywhere

Unit 6: Multiply Decimals

Lesson 6-1: Patterns when Multiplying Decimals by Powers of 10Powers of 10 Parade

Unit 7: Divide Whole Numbers

Lesson 7-5: Use Partial Quotients to DivideEmptying the Water Tank

Unit 8: Divide Decimals

Lesson 8-1: Division Patterns with Decimals and Patterns of 10Powers of 10 Parade

Unit 10: Multiply Fractions

Lesson 10-3: Represent Multiplication of a Fraction By A FractionMaking Food
Lesson 10-4: Multiply a Fraction By A FractionMaking Food
Lesson 10-5: Determine the Area of Rectanges with Fractional Side LengthsInstalling Turf
Lesson 10-6: Represent Multiplication of Mixed NumbersInstalling Turf
Lesson 10-7: Multiply Mixed NumbersInstalling Turf

Unit 13: Geometry

Lesson 13-2: Plot Ordered Pairs on the Coordinate PlaneBullseye!

Grade 6

Module 1: Ratios and Rates

Reveal MathAmplify Classroom
Lesson 1: Understand ratiosUnit 2
Lesson 1: Pizza Maker
Lesson 2: Tables of Equivalent RatiosUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Compare Ratio RelationshipsUnit 2
Lesson 4: Fruit Lab
Lesson 6: Convert Customary Measurement UnitsUnit 3
Lesson 1: Many Measurements
Lesson 7: Understand Rates and Unit RatesUnit 3
Lesson 6: Soft Serve

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3
Lesson 9: Lucky Duckies
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Compute with Multi-Digit Numbers and Fractions

Lesson 1: Divide Multi-Digit Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 3: Divide Whole Numbers by FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Divide Fractions by FractionsUnit 4
Lesson 6: Fill the Gap
Lesson 5: Divide with Whole and Mixed NumbersUnit 4
Lesson 6: Fill the Gap

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 3: Compare and Order IntegersUnit 7
Lesson 4: Order in the Class

Module 5: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions
Lesson 4: Evaluate Algebraic Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 6: Use the Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 7: Equivalent Algebraic ExpressionsUnit 6
Lesson 1: Weight for It

Module 6: Relationships in Geometry

Lesson 2: One-Step Addition Equations
Lesson 3: One-Step Subtraction Equations
Unit 6
Lesson 1: Weight for It
Lesson 6: InequalitiesUnit 7
Lesson 7: Tunnel Travels

Module 7: Relationships Between Two Variables

Lesson 4: Multiple RepresentationsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Module 8: Area

Module 9: Volume and Surface Area

Lesson 2: Surface Area of Rectangular PrismsUnit 1
Lesson 10: Renata’s Stickers

Module 10: Statistical Measures and Displays

Lesson 1: Statistical QuestionsUnit 8
Lesson 3: Minimum Wage
Lesson 2: Dot Plots and HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 7: Interpret Graphical DisplaysUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Proportional Relationships

Reveal MathAmplify Classroom
Lesson 1: Unit Rates Involving Ratios of FractionsUnit 2
Lesson 1: Paint
Lesson 3: Tables of Proportional ReasoningUnit 2
Lesson 1: Paint
Lesson 4: Graphs of Proportional ReasoningUnit 2
Lesson 8: Dino Pops
Lesson 5: Equations of Proportional ReasoningUnit 2
Lesson 6: Two and Two

Module 2: Solve Percent Problems

Lesson 1: Percent of ChangeUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 3: Tips and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 4: DiscountsUnit 4
Lesson 5: Percent Machines

Module 3: Operations with Integers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 4: Operations with Rational Numbers

Lesson 1: Add Integers
Lesson 2: Subtract Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Multiply IntegersUnit 5
Lesson 10: Integer Puzzles
Lesson 5: Apply Integers OperationsUnit 5
Lesson 10: Integer Puzzles

Module 5: Simplify Algebraic Expressions

Lesson 2: Add Linear Expressions
Lesson 3: Subtract Linear Expressions
Unit 6
Lesson 10: Collect the Squares
Lesson 4: Solve Inequalities Using Addition or SubtractionUnit 6
Lesson 16: Shira the Sheep

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6
Lesson 16: Shira the Sheep

Module 7: Write and Solve Inequalities

Lesson 6: Wirte and Solve Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Module 8: Geometric Figures

Lesson 1: Vertical and Adjacent AnglesUnit 7
Lesson 4: Missing Measures
Lesson 2: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 4: Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?

Module 9: Measure Figures

Lesson 1: Circumference of CirclesUnit 3
Lesson 3: Measuring Around
Lesson 2: Area of CirclesUnit 3
Lesson 9: Area Challenges

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Module 11: Sampling and Statistics

Lesson 1: Biased and Unbiased SamplesUnit 8
Lesson 10: Crab Island
Lesson 2: Make Predictions
Lesson 3: Generate Multiple Samples
Unit 8 
Lesson 10: Crab Island
Lesson 4: Compare Two PopulationsUnit 8
Lesson 10: Crab Island

Grade 8

Module 1: Exponents and Scientific Notation

Reveal MathAmplify Classroom
Lesson 1: Powers and ExponentsUnit 7 
Lesson 1: Circles
Lesson 2: Multiply and Divide MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 3: Power of MonomialsUnit 7 
Lesson 3: Power Pairs
Lesson 5: Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale
Lesson 6: Compute with Scientific NotationUnit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: Real Numbers

Lesson 2: RootsUnit 8
Lesson 4: Root Down

Module 3: Solve Equations with Variables on Each Side

Lesson 1: Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 2: Write and Solve Equations with Variables on Each SideUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Determine the Number of Solutions

Module 4: Linear Relationships and Slope

Lesson 1: Proportional Relationships and SlopeUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Slope of a LineUnit 3
Lesson 4: Flags
Lesson 5: Slope-Intercept FormUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Graph Linear EquationsUnit 3
Lesson 4: Flags
Unit 5
Lesson 5: The Tortoise and the Hare

Module 5: Functions

Lesson 1: Identify FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 6: Qualitative GraphsUnit 5
Lesson 5: The Tortoise and the Hare

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 11: Make Them Balance

Module 7: Triangles and the Pythagorean Theorem

Lesson 2: Angle Relationships and TrianglesUnit 1 
Lesson 12: Puzzling It Out

Module 8: Transformations

Lesson 1: Translations
Lesson 2: Reflections
Lesson 3: Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Lesson 4: DilationsUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Module 9: Congruence and Similarity

Lesson 3: Similarity and TransformationsUnit 2
Lesson 6: Social Scavenger Hunt

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volume of ConesUnit 5
Lesson 13: Cones

Module 11: Scatter Plots and Two-Way Tables

Lesson 1: Scatter PlotsUnit 6 
Lesson 3: Robots
Lesson 2: Draw Lines of FitUnit 6 
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 4: Two-Way TablesUnit 6
Lesson 11: Finding Associations
Lesson 5: Associations in Two-Way TablesUnit 6
Lesson 11: Finding Associations

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Families and caregivers, welcome to Amplify Desmos Math California K–5!

Welcome to the Amplify Desmos Math California K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math California.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math California at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math California button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math California address blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math California classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math California lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math California offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

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Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsDesmos Math 6–A1
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane [Free lesson]
Lesson 2: Finding Area by Decomposing and Rearranging
Lesson 3: Reasoning to Find Area
Unit 1
Lesson 2: Letters
Topic 2: Parallelograms
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 8: Area of TrianglesUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 9: Formula for the Area of a Triangle
Lesson 10: Bases and Heights of Triangles
Unit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Topic 4: Polygons
Lesson 11: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons
Practice Day 1 (Print available)
Unit 7
Lesson 11: Polygon Maker
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 9: Renata´s Stickers [Free lesson]
Lesson 13: PolyhedraUnit 1Lesson 10: Plenty of Polyhedra
Lesson 14: Nets and Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 13: Take It To Go
Lesson 15: More Nets, More Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Practice Day 2 (Print available)
Lesson 16: Distinguishing Between Surface Area and Volume
Topic 6: Squares and Cubes 
Lesson 17: Squares and CubesUnit 6
Lesson 12: Squares and Cubes
Lesson 18: Surface Area of a Cube 
Topic 7: Let’s Put It to Work 
Lesson 19: Designing a TentUnit 1
Lesson 13: Take It To Go (Print available)

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)
Lesson 2: Representing Ratios with DiagramsUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)Lesson 3: Rice Ratios (Print available)
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 3: Rice Ratios (Print available)
Lesson 4: Color MixturesUnit 2Lesson 7: Mixing Paint, Part 1Lesson 12: Mixing paint, Part 2
Lesson 5: Defining Equivalent RatiosUnit 2Lesson 3: Rice Ratios (Print available)Lesson 4: Fruit Lab [Free lesson]Lesson 11: Community LifePractice Day 1 (Print available)
Topic 3: Representing Equivalent ratios
Lesson 6: Introducing Double Number Line DiagramsUnit 2Lesson 5: Balancing Act
Lesson 7: Creating Double Line DiagramsUnit 2Lesson 5: Balancing ActLesson 6: Product prices (Print available)
Lesson 8: How Much for One?Unit 2Lesson 6: Product prices (Print available)
Lesson 9: Constant SpeedUnit 2Lesson 8: World Records (Print available)
Lesson 10: Comparing Situations by Examining RatiosUnit 2Lesson 7: Mixing Paint, Part 1 
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2Lesson 9: Disaster Preparation [Free lesson]
Lesson 12: Navigating a Table of Equivalent Ratios
Lesson 13: Tables and Double Line Diagrams
Unit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1
Lesson 14: Solving Equivalent Ratio ProblemsUnit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1Lesson 10: BalloonsLesson 11: Community Life (Print available)
Topic 5: Part-Part-Whole Ratios
Lesson 15: Part-Part-Whole RatiosUnit 2Lesson 12: Mixing paint, Part 2Lesson 13: City Planning
Lesson 16: Solving More Ratio ProblemsUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Topic 6: Let’s Put It to Work 
Lesson 17: A Fermi ProblemUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)Practice Day 2 (Print available)

Unit 3: Rates and Percentages

Topic 1: Units of Measurement 
Lesson 1: The Burj KhalifaUnit 3
Lesson 4: Model Trains
Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements (Print available) [Free lesson]
Lesson 3: Measuring with Different-Sized Units
Lesson 4: Converting Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 8: More About Constant SpeedUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 9: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 11: Percentages and Double Number LinesUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 12: Percentages and Tape DiagramsUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 13: Benchmark percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 14: Solving Percentage Problems
Lesson 15: Finding This Percent of That
Lesson 16: Finding the Percentage
Unit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Topic 5: Let’s Put It to Work 
Lesson 17: Painting a RoomUnit 3
Lesson 13: A Country as a Village
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]

Unit 4: Dividing Fractions

Topic 1: Making Sense of Division 
Lesson 1: Size of Divisor and Size of Quotient
Lesson 2: Meanings of Division
Unit 4Lesson 1: Cookie Cutter
Lesson 3: Interpreting Division SituationsUnit 4Lesson 2: Making Connections (Print available)
Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters 
Lesson 5: How Many Groups (Part 2)Unit 4Lesson 5: Garden Bricks (Print available)
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson]
Lesson 7: What Fraction of a Group?
Lesson 8: How Much in Each Group? (Part 1)
Lesson 9: How Much in Each Group? (Part 2)
Unit 4Lesson 8: Potting Soil
Topic 3: Algorithm for Fraction Division
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges 
Lesson 11: Using an Algorithm to Divide FractionsUnit 4Lesson 9: Division ChallengesPractice Day
Topic 4: Fractions in Lengths, Areas, and Volumes
Lesson 12: Fractional LengthsUnit 4Lesson 11: Classroom Comparisons
Lesson 13: Rectangles with Fractional Side LengthsUnit 4Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 14: Fractional Lengths in Triangles and Prisms
Lesson 15: Volume of PrismsUnit 4Lesson 13: Volume Challenges
Topic 5: Let’s Put It to Work
Lesson 16: Solving Problems with FractionsUnit 4Lesson 10: Swap Meet (Print available)
Lesson 17: Fitting Boxes into BoxesUnit 4Lesson 14: Planter Planner (Print available)

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Topic 2: Adding and Subtracting Decimals
Lesson 2: Using Decimals to Represent Addition and SubtractionUnit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero DigitsUnit 5Lesson 4: Missing Digits
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits 
Topic 3: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5Lesson 6: Multiplying with Areas
Topic 4: Dividing Decimals
Lesson 9: Using the Partial Quotients MethodUnit 5Lesson 8: Division Diagrams
Lesson 10: Using Long DivisionUnit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in Decimals
Lesson 12: Dividing Decimals by Whole Numbers
Lesson 13: Dividing Decimals by Decimals
Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5Lesson 11: Movie Time [Free lesson]
Lesson 15: Making and Measuring Boxes
Lesson 12: Dividing Decimals by Whole Numbers 
Lesson 13: Dividing Decimals by DecimalsUnit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)
Lesson 3: Staying in BalanceUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging Around
Lesson 4: Practice Solving Equations and Representing Situations with EquationsUnit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Lesson 5: A New Way to Interpret a and bUnit 6Lesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Topic 2: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for NumbersUnit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Lesson 7: Revisit PercentagesUnit 3Lesson 10: What’s Missing?Lesson 11: Cost BreakdownLesson 12: More Bicycle Goals
Lesson 8: Equal and EquivalentUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging AroundLesson 6: Vari-apples
Topic 9: The Distributive Property, Part 1Unit 6Lesson 8: Products and Sums [Free lesson]
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences (Print available)
Topic 3: Expressions with Exponents
Lesson 12: Meaning of ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)
Lesson 13: Expressions with Exponents
Lesson 14: Evaluating Expressions with Exponents
Lesson 15: Equivalent Exponential Expressions
Unit 6Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes
Topic 4: Relationships Between Quantities 
Lesson 16: Two Related Quantities, Part 1
Lesson 17: Two Related Quantities, Part 2
Lesson 18: More Relationships
Unit 6Lesson 13: Turtles All the WayLesson 14: Representing RelationshipsLesson 15: Connecting Representations (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6Lesson 16: Subway fares (Print available) [Free lesson]

Unit 7: Rational Numbers

Topic 1: Positive and Negative Numbers
Lesson 1: Positive and Negative NumbersUnit 7Lesson 1: Can You Dig In [Free lesson]Lesson 2: Digging Deeper
Lesson 2: Points on the Number LineUnit 7Lesson 2: Digging Deeper
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 5: Using Negative Numbers to make Sense of ContextsUnit 7 Lesson 4: Sub-Zero
Lesson 6: Absolute Value of Numbers
Lesson 7: Comparing Numbers and Distance from Zero
Unit 7Lesson 5: Distance on the Number Line
Topic 2: Inequalities
Lesson 8: Writing and Graphing InequalitiesUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions
Topic 3: The Coordinate Plane
Lesson 11: Points on the Coordinate Plane
Lesson 12: Constructing the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 13: Interpreting Points on a Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 14: Distances on a Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Lesson 15: Shapes on the Coordinate PlaneUnit 1Lesson 1: Shapes on a Plane [Free lesson]Lesson 2: LettersLesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsUnit 7Lesson 3: Exploring Parallelograms (Print available)Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Topic 4: Common Factors and Common Multiples
Lesson 16: Common FactorsUnit 5Lesson 15: Common factors
Lesson 17: Common MultiplesUnit 5Lesson 14: Common Multiples
Lesson 18: Using Common Multiples and Common FactorsUnit 5Lesson 14: Common MultiplesLesson 15: Common factorsPractice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Drawing on the Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Topic 1: Data, Variability, and Statistical Questions
Lesson 1: Got Data?
Lesson 2: Statistical Questions
Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots
Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic 3: Measures of Center and Variability
Lesson 9: Mean
Lesson 10: Finding and Interpreting the Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 11: Variability and MADUnit 8Lesson 8: Pop It!
Lesson 12: Using Mean and MAD to Make ComparisonsUnit 8Lesson 9: Hoops
Topic 4: Median and IQR
Lesson 13: MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 14: Comparing Mean and MedianUnit 8Lesson 12: In the News
Lesson 15: Quartiles and Interquartile RangeUnit 8Lesson 13: Pumpkin Patch
Lesson 16: Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 17: Using Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 18: Using Data to Solve ProblemsUnit 8Lesson 16: Hollywood Part 3 (Print available)

Unit 9: Putting It All Together

Topic 1: Making Connections
Lesson 1: Fermi Problems
Lesson 2: In Our Class Were the World
Unit 3Lesson 13: A Country as a Village
Lesson 3: Rectangle MadnessUnit 5Lesson 14: Common MultiplesLesson 15: Common factors
Topic 2: Voting
Lesson 4: How Do We Choose?Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Lesson 5: More than Two ChoicesUnit 3Lesson 13: A Country as a Village
Lesson 6: Picking RepresentativesUnit 8Lesson 16: Hollywood Part 3 (Print available)

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Corresponding Parts and Scale FactorsUnit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks
Lesson 3: Making Scaled Copies
Lesson 4: Scaled Relationship
Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes
Lesson 5: The Size and the Scale FactorUnit 1Lesson 4: Scale Factor Challenges
Lesson 6: Scaling and AreaUnit 1Lesson 5: TilesPractice Day 1 (Print available)
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scale Drawings and Maps 
Lesson 9: Creating Scale Drawings
Lesson 10: Changing Scales in Scale Drawings
Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available)
Topic 3: Let’s Put It to Work
Lesson 13: Draw It to ScaleUnit 1Lesson 10: Room Redesign (Print available)

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2Lesson 1: Paint [Free lesson] 
Lesson 2: Introducing Proportional Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 7: Comparing Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 8: Comparing Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency
Lesson 9: Solving Problems About Proportional RelationshipsUnit 2Lesson 12: Water Efficiency
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency
Topic 5: Let’s Put It to Work
Lesson 14: For RepresentationsUnit 2Lesson 11: Four Representations (Print available)
Lesson 15: Using Water EfficiencyUnit 2Lesson 12: Water Efficiency

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3Lesson 1: Toothpicks
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 5: Circumference and Wheels 
Topic 2: Area of a Circle
Lesson 6: Estimating AreasUnit 3Lesson 5: Area Strategies
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 9: Applying Area of CirclesUnit 3Lesson 6: Radius Squares (Print available)
Topic 3: Let’s Put It to Work
Lesson 10: Distinguishing Circumference and AreaUnit 3Lesson 7: Why Pi?
Lesson 11: Stained-Glass WindowsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 5: Say It with Decimals 
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 7: One Hundred percentUnit 4Lesson 6: 100% (Print available)
Lesson 8: Percent Increase and Decrease with EquationsUnit 4Lesson 5: All the Equations
Lesson 9: More and Less than 1% 
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 12: Finding the PercentagesUnit 4Lesson 4: More and Less
Lesson 13: Measurement Error
Lesson 14: Percent Error
Lesson 15: Error Intervals
Unit 4Lesson 11: Bookcase Builder
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5Lesson 1: Floats and Anchors [Free lesson]
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 4: Money and Debts 
Lesson 5: Representing SubtractionUnit 5Lesson 5: Number Puzzles
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Topic 3: Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction
Lesson 9: Multiplying Rational Numbers
Lesson 10: Multiply!
Unit 5Lesson 7: Back in Time
Lesson 11: Dividing Rational NumbersUnit 5Lesson 8: Speeding Turtles
Lesson 12: Negative Rates 
Topic 4: Four Operations with Rational Numbers 
Lesson 13: Expressions with Rational NumbersUnit 5Lesson 9: Expressions (Print available)
Lesson 14: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Topic 5: Solving Equations When There Are Negative Numbers 
Lesson 15: Making and Measuring Boxes 
Lesson 16: Representing Contexts with Equations 
Topic 6: Let’s Put It to Work 
Lesson 17: The Stock market

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r
Lesson 1: Relationships Between Quantities
Unit 2 Lesson 1: Paint [Free lesson] Lesson 2: Balloon Float
Unit 4 Lesson 1: Mosaics [Free lesson] Lesson 2: Peach Cobbler (Print available)
Unit 6 Lesson 1: Toothpicks and Tiles
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Unit 6Lesson 2: Smudged ReceiptsLesson 3: EquationsLesson 4: Seeing Structure (Print available)
Lesson 6: Distinguishing between Two Types of SituationsUnit 6Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)
Topic 2: Solving Equations of the Form px + q and p(+ q) = and Problems That lead to Those Equations 
Lesson 7: Reasoning about Solving Equations (Part 1)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available) 
Lesson 8: Reasoning about Solving Equations (Part 2)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 9: Always-Equal Machines
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6Lesson 7: Keeping It True (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)
Lesson 11: Using Equations to Solve ProblemsUnit 6Lesson 12: Community Day (Print available)
Lesson 12: Solving Problems about Percent Increase or DecreaseUnit 4Lesson 10: Cost of College (Print available)
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6Lesson 13: I Saw the SignsLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15 Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available) 
Lesson 19: Expanding and FactoringUnit 6Lesson 8: Factoring and Expanding (Print available)Lesson 11: Equation Roundtable (Print available)
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Practice Day 1 (Print available)
Topic 5: Let’s Put It to Work
Lesson 23: Applications of ExpressionsUnit 6Lesson 12: Community Day (Print available)

Unit 7: Angles, Triangles, and Prisms

Topic 1: Angle Relationships
Lesson 1:Relationships of Angles
Unit 7 Lesson 1: Pinwheels Lesson 2: Friendly Angles [Free lesson] Lesson 3: Angle Diagrams
Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 4: Solving for Unknown AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available)
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic 2: Drawing Polygons with Given Conditions 
Lesson 6: Building Polygons (Part 1)
Lesson 7: Building Polygons (Part 2)
Unit 7Lesson 6: Is It Enough?
Lesson 8: Triangles with 3 Common MeasuresUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Topic 3: Solid Geometry
Lesson 11: Slicing SolidsUnit 7Lesson 9: Slicing Solids
Lesson 12: Volume of Right PrismsUnit 7Lesson 10: Simple Prisms
Lesson 13: Decomposing Bases for AreasUnit 7Lesson 11: More Complicated Prisms
Lesson 14: Surface Area of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available)
Lesson 15: Distinguishing Volume and Surface Area
Lesson 16: Applying Volume and Surface AreaUnit 7Lesson 13: Popcorn Possibilities
Topic 4: Let’s Put It to Work
Lesson 17: Building Prisms

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8 Lesson 1: How Likely? (Print available) [Free lesson] Lesson 2: Prob-bear-bilities [Free lesson] Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: More Estimating ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Estimating Probabilities Using SimulationUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 2: Probabilities of Multi-step Events
Lesson 7: Simulating Multi-step EventsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Lesson 8: Keeping Track of All Possible OutcomesUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Topic 9: Multi-step experiments
Lesson 10: Designing SimulationsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)
Topic 5: Let’s Put It to Work
Lesson 20: Memory TestUnit 8Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1Lesson 1: Transformers [Free lesson]
Lesson 2: Naming the MovesUnit 1Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Grid MovesUnit 1Lesson 3: Transformation GolfLesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting CoordinatedUnit 3Lesson 6: Translations
Lesson 4: Making the MovesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 5: Coordinate MovesUnit 1Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1Lesson 5: Getting CoordinatedLesson 6: Connecting the Dots [Free lesson]
Topic 2: Properties of Rigid Transformations 
Lesson 7: No Bending or StretchingUnit 1Lesson 7: No Bending, No Stretching
Lesson 8: Rotation PatternsUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 9: Moves in Parallel
Lesson 10: Composing Figures
Unit 1 Lesson 10: Transforming Angles
Topic 3: Congruence 
Lesson 11: What is the Same?
Lesson 12: Congruent Polygons
Lesson 13: Congruence
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?Practice Day (Print available)
Topic 4: Angles in a Triangle
Lesson 14: Alternate Interior Angles
Lesson 15: Adding the Angles in a Triangle
Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 16: Parallel Lines and the Angles in a TriangleUnit 1 Lesson 10: Transforming Angles
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate [Free lesson]

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Similar Polygons 
Lesson 8: Similar Triangles
Lesson 9: Side Length Quotients in Similar Triangles
Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Topic 3: Slope
Lesson 10: Meet SlopeUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day (Print available)Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 11: Writing Equations of LinesUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: SolutionsLesson 11: Pennies and Quarters Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 12: Using Equations of LinesUnit 3Lesson 9: Coin Capture
Topic 4: Let’s Put It to Work
Lesson 13: The Shadow KnowsUnit 2Lesson 8: Shadows

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Graphs of Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Unit 5Lesson 4: Window Frames
Lesson 3: Representing Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window FramesLesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Comparing Proportional RelationshipsUnit 3Lesson 3: Posters
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 4: Stacking CupsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: More Linear RelationshipsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 7: Representations of Linear RelationshipsUnit 3Lesson 5: Flags [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 8: Translating mx + bUnit 3Lesson 3: PostersLesson 6: Translations
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 11: Equations of All Kinds of LinesUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Topic 4: Linear Equations 
Lesson 12: Solutions to Linear EquationsUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: More Solutions to Linear EquationsUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: Solutions
Topic 5: Let’s Put It to Work 
Lesson 14: Using Linear Relations to Solve ProblemsUnit 3 Lesson 11: Pennies and Quarters

Unit 4: Linear Equations and Linear Systems

Topic 1: Puzzle Problems 
Lesson 1: Number PuzzlesUnit 4Lesson 1: Number machines
Topic 2: Linear Equation in One Variable 
Lesson 2: Keeping the Equation BalancedUnit 4Lesson 2: Keep It Balanced
Lesson 3: Balanced MovesUnit 4Lesson 3: Balanced Moves
Lesson 4: More Balanced MovesUnit 4Lesson 4: More Balanced Moves (Print available)
Lesson 5: Solving Any Linear EquationUnit 4Lesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Strategic SolvingUnit 4Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or No Solutions
Lesson 8: How many Solutions?
Unit 4Lesson 7: All, Some, or None?
Lesson 9: When Are They the SameUnit 4Lesson 8: When Are They the Same?
Topic 3: Systems of Linear Equations
Lesson 10: On or Off the Line?Unit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4 Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 14: Solving More Systems 
Lesson 15: Writing Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Problems with Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Introduction to FunctionsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]Lesson 3: Function or Not?
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Even More Graphs of Functions 
Lesson 7: Connecting Representations of FunctionsUnit 5Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: (Print available)Charge!
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 2Lesson 9: Water SlideLesson 10: Points on a PlaneUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 9: Linear ModelsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 10: Piecewise Linear FunctionsUnit 5Lesson 9: Piecing It Together
Topic 4: Cylinder and Cones 
Lesson 11: Filling Containers 
Lesson 12: How Much Will Fit? 
Lesson 13: The Volume of a CylinderUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 14: Missing Dimensions (Print available)
Lesson 15: The Volume of a ConeUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 16: Finding Cone DimensionsUnit 5Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Topic 5: Dimensions and Spheres 
Lesson 17: Scaling One DimensionUnit 5Lesson 12: Scaling Cylinders
Lesson 18: Scaling Two Dimensions 
Lesson 19: Estimating a Hemisphere 
Lesson 20: The Volume of a Sphere
Lesson 21: Cylinders, Cones, and Spheres
Unit 5Lesson 15: SpheresPractice Day 2 (Print available)
Topic 6: Let’s Put It to Work 
Lesson 22: Volume As a Function of …Unit 5Lesson 15: Spheres

Unit 6: Associations in Data

Topic 1: Does This Predict That? 
Lesson 1: Organizing DataUnit 6 Lesson 1: Click Battle
Lesson 2: Plotting DataUnit 6 Lesson 2: Wing Span
Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 4: Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 5: Describing Trends in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City(Print available)Practice Day 1 [Free lesson]
Lesson 6: The Slope of a Fitted LineUnit 6 Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 8: Analyzing Bivariate DataUnit 6Lesson 9: Tasty Fruit
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 11: Federal BudgetsPractice Day 3 (Print available)
Lesson 10: Using Data Displays to Find associationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 9: Tasty Fruit
Topic 4: Let’s Put It to Work
Lesson 11: Gone in 30 SecondsUnit 6Lesson 11: Federal Budgets

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents
Topic 2: Exponent Rules 
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers  
Lesson 5: Negative Exponents with Powers of 10Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: What about Other Bases? 
Lesson 7: Practice with Rational Bases
Lesson 8: Combining Bases 
Topic 3: Scientific Notation 
Lesson 9: Describing Large and Small Numbers using Powers of 10Unit 7 Lesson 7: Scales and Weights
Lesson 10: Representing Large Numbers on the Number Line
Lesson 11: Representing Small Numbers on the Number Line
Unit 7 Lesson 8: Point Zapper
Lesson 12: Applications of Arithmetic with Powers of 10Unit 7  Lesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power
Topic 4: Let’s Put It to Work
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?Lesson 13: Star Power Practice Day 2 (Print available)

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side LengthsUnit 8Lesson 1: Tilted Squares
Lesson 2: Side Lengths and AreasUnit 8Lesson 2: From Squares to RootsLesson 3: Between Squares
Lesson 3: Rational and Irrational Numbers
Lesson 4: Square Roots on the Number Line
Lesson 5: Reasoning about Square RootsUnit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available)
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 7: A Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 8: Finding Unknown Side LengthsUnit 8Lesson 11: Pond Hopper
Lesson 9: The ConverseUnit 8Lesson 9: Make It Right
Lesson 10: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco Truck [Free lesson]
Lesson 11: Finding Distances in the Coordinate PlaneUnit 8Lesson 11: Pond Hopper
Topic 3: Side Lengths and Volumes of Cubes
Lesson 12: Edge Lengths and Volumes
Lesson 13: Cube Roots
Unit 8Lesson 5: Filling Cubes
Topic 4: Decimal Representation of Rational and Irrational Numbers
Lesson 14: Decimal Representation of Rational and Numbers
Lesson 15: Infinite Decimal expansions
Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8Lesson 10: Taco Truck [Free lesson]

Unit 9: Putting It All Together

Topic 1: Tessellations
Lesson 1: Tessellations of the Plane
Lesson 2: Regular Tessellations
Lesson 3: Tessellating Polygons
Topic 2: The Weather
Lesson 4: What Influences Temperature?
Lesson 5: Plotting the Weather
Lesson 6: Using and Interpreting a Mathematical Model

Archived Professional Learning Resources for NYC (K-8)

Welcome! This page contains archived professional learning resources designed for the New York City Department of Education Amplify Science adoption for grades K–8.

2023-24 Sessions

Previous Years

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

Fall 2019 materials:

Summer 2019 materials:

  • Needs of Plants and Animals Presentation (Year 1 schools)
  • Needs of Plants and Animals Presentation (Year 2 schools)

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

Fall 2019 materials:

Summer 2019 materials:

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • K-5 New Teacher Orientation with Participant Notebook
  • Grades 2-3 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 2-3 Webinar
  • Grade 2 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Fall 2019 materials:

Summer 2019 materials:

  • Plant and Animal Relationships Presentation (Year 1 schools)
  • Plant and Animal Relationships Presentation (Year 2 schools)

Spring 2021 materials:

  • Unit 4: Focusing on Evidence of Learning for New Teachers Webinar

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 3 New Teacher Orientation Webinar with Participant Notebook
  • Grades 2-3 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 2-3 Webinar
  • Grade 3 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Fall 2019 materials:

Summer 2019 materials:

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 4 New Teacher Orientation Webinar with Participant Notebook
  • Grades 4-5 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 4-5 Webinar
  • Grade 4 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Fall 2019 materials:

Summer 2019 materials:

  • Energy Conversions P(Year 1 schools)
  • Energy Conversions Energy Conversions (Year 2 schools)

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 5 New Teacher Orientation Webinar with Participant Notebook
  • Grades 4-5 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 4-5 Webinar
  • Grade 5 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Fall 2019 materials;

Summer 2019 materials:

Winter 2022 materials:

Spring 2021materials:

Winter 2021materials:

Fall 2020 materials:

Summer 2020 materials:

Fall 2019 materials:

Summer 2019 materials:

Winter 2022 materials:

Spring 2021 materials:

Winter 2021 materials:

Fall 2020 materials:

  • Grade 7: Progress Builds & Embedded Assessments Webinar
  • Grade 7: Amplify Science Remote & Hybrid Resources Webinar

Summer 2020 materials:

Fall 2019 materials:

Summer 2019 materials: 

Winter 2022 materials:

Spring 2021 materials:

Winter 2021 materials:

Fall 2020 materials:

  • Grade 8: Progress Builds & Embedded Assessments Webinar
  • Grade 8: Amplify Science Remote & Hybrid Resources Webinar

Summer 2020 materials:

Fall 2019 materials:

Summer 2019 materials:

Welcome!

As the 2021-2022 school year continues to pose new challenges, you’re likely thinking about making your classroom responsive to student needs due to the covid-19 pandemic.

Got additional questions? Use Zoom to attend office hours with Nadya Awadallah, the DOE’s Elementary Science Lead on Fridays from 12-1pm.

Meeting ID: 835 9458 3142

Passcode: 263518

NYC Newsletters

Educator Spotlight Submission

Calling all NYC DOE educators! Do you know an educator who has gone above and beyond? Would you like to highlight your teaching experience for others? Submit nominations here to see them featured as a spotlight in a future edition of our monthly newsletter and on our Instagram pages!

Introduction

This page includes planning, implementation, and professional learning resources for NYC schools using Amplify Science. Please take a moment to familiarize yourself with the categories in the navigation bar on the left side of the page so that you’ll be able to easily find what you need.

Most New York City educators come here looking for specific information, but if you’re new to Amplify Science, we recommend you read through the program guide to learn a little about the program. 

New to Amplify? – Start HERE!

Teachers and Administrators 

Step 1: Review the Amplify Science Navigation Essentials K-5 Video 

Step 2: Review your Scope and sequence/course structure calendar

Step 3: Review the Unpacking the Kit Videos listed below to understand what’s in your unit 1 kit

Step 4: Access your unique log in information to log-in to the Amplify Science Curriculum outlined below under Login support

Step 5: Log into the platform and access our Program Hub.  Select Using this site for self study for a complete suite of training videos and resources for an initial orientation video series

Step 6: Log into the curriculum and begin studying the Unit Map and Teacher’s Guide resources and begin planning your first lesson. Print out the NYC Program Guide for essential program information.

Step 7: Administrator’s ONLY – Review the K-5 Admin Orientation presentation for an overview on the program. Review materials under Admin Resources. 

NOTE: Should you need any additional guidance on how to get started with prep (or anything else!), please feel free to get in touch with our pedagogical support team. They are available Monday-Friday from 7AM-7PM EST. You can reach them via the chat icon in the lower right- hand corner of your screen when logged in, through email (help@amplify.com), or via phone (800-823-1969).

Getting started resources

NYC Resource Site overview – quick links

Technology requirements

Login support

Materials

  • Materials lists – lists of kit contents by unit
    K | 1 | 2 | 3 | 4 | 5
  • Spanish materials lists – lists of Spanish print kit contents by unit
    K | 1 | 2 | 3 | 4 | 5
  • Kit-level packing detail (chart) – high-level information regarding kits including dimensions, weights, etc. 

Unpacking your first Amplify Science classroom kit

All Amplify Science units coming with kits that include hands-on and print materials. The number of boxes (sometimes referred to as “tubs”) varies depending on the unit.

21-22 Login Update

The temporary login credentials for fall ’21 have been deactivated. 

Please make sure you check out the Getting started resources > Login support below for instructions around teacher and the NYC shared student logins.

If there are any issues, please confirm with your STARS programmer that your classes are finalized and then contact the Amplify Help Desk at help@amplify.com or at 1-800-823-1969.

Planning and implementation resources

Use our NYC Field Trip List to plan an engaging field trip for your students!

Use the resources below to plan out your year and ensure you are teaching each standard to mastery.

NYC DOE Supplemental Guiding Documents: Curriculum Gaps

Admin resources

Remote and hybrid learning resources

In response to the shifts towards remote learning, Amplify has created resources for using our programs remotely. Please visit our Program Hub accessible via your Teacher Platform for all of our hybrid and remote learning supports which includes guidance for teachers and parents/guardians.

Additionally, please see below where you’ll find the recordings from our recently held webinars on our remote learning resources and some best practices for implementing Amplify Science in a distance learning setting.

Resource guides

  1. K-8 Remote and hybrid learning guide

On-demand remote learning videos

Professional Learning Opportunities

Interested in attending training? Check out and sign up for this year’s PL offerings here!

All 2021-2022 PL session materials will be uploaded below under Professional learning resources.

Amplify Science Back-to-School Recorded Webinars – Amplify held a series of national office hours throughout the summer and fall to share information about our new resources to support remote and hybrid learning– including recommendations about what to prioritize from your curriculum and essential refresher topics, such as how to navigate your program and find the best planning resources. Feel free to watch all recorded sessions at your convenience.

21-22 Professional learning resources

Fall 2021 materials:

Summer 2021 materials:

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20-21 Professional learning resources

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • K-5 New Teacher Orientation with Participant Notebook
  • Grades 2-3 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 2-3 Webinar
  • Grade 2 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Spring 2021 materials:

  • Unit 4: Focusing on Evidence of Learning for New Teachers Webinar

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 3 New Teacher Orientation Webinar with Participant Notebook
  • Grades 2-3 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 2-3 Webinar
  • Grade 3 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 4 New Teacher Orientation Webinar with Participant Notebook
  • Grades 4-5 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 4-5 Webinar
  • Grade 4 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

Winter 2021 materials:

Fall 2020 materials:

Summer 2020 materials:

  • Grade 5 New Teacher Orientation Webinar with Participant Notebook
  • Grades 4-5 Utilizing Program Assessments Effectively Webinar
  • Reaching All Learners for Grades 4-5 Webinar
  • Grade 5 Returning Teacher Remote Learning: Guided Planning Workshop Webinar

19-20 Professional learning resources

Summer 2019 materials:

Fall 2019 materials:

Spring 2020 materials:

  • Reaching ALL Learners: Utilizing Program Assessments Effectively in Grades K & 1 – Participant Notebook

Summer 2019 materials:

Fall 2019 materials:

Spring 2020 materials:

  • Reaching ALL Learners: Utilizing Program Assessments Effectively in Grades K & 1 – Participant Notebook

Summer 2019 materials:

Fall 2019 materials:

Spring 2020 materials:

  • Reaching ALL Learners: Utilizing Program Assessments Effectively in Grades 2 & 3 – Participant Notebook

Summer 2019 materials:

Fall 2019 materials:

Spring 2020 materials:

  • Reaching ALL Learners: Utilizing Program Assessments Effectively in Grades 2 & 3 – Participant Notebook

Summer 2019 materials:

Fall 2019 materials:

Summer 2019 materials:

Fall 2019 materials;

Caregiver Resources

Caregiver letters – information about Next Generation Science Standards by grade level

K | 1 | 2 | 3 | 4 | 5

Caregiver Hub

Questions

Amplify Science K–5 FAQs

For general questions about the Amplify program (navigation, pedagogy, login), please reach out:

Email – scihelp@amplify.com
Phone – call toll-free at (800) 823-1969, Monday to Friday 7 a.m.–7 p.m. ET

Amplify Chat – click the Amplify Chat icon within the individual teacher account

Welcome, Program 3 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA/ELD Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify California Language Arts, a comprehensive biliteracy program for kindergarten through grade 6.

Reviewer Binders (K–6)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–2.
  • The third binder will contain the printed Standards Maps for grades 3–6.

Physical samples (trade books)

Your review of the program will be entirely digital with the exception of the trade books that you will be receiving as physical samples. You can expect to receive 13 boxes of physical materials for your review. Twelve boxes of trade books, one for each grade K–5, in English and Spanish, and one box containing your Reviewer Binders.

As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder.

Digital review materials

In order to access your digital review materials, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grade 6

Click here for additional information on navigating the program for grade 6.

Category 1: English Language Arts (ELA) and English Language Development (ELD) content/alignment to standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Language Arts for each grade level.

ELD Standards Maps

Category 2: Program organization

Amplify California Language Arts’ biliteracy program is a comprehensive curriculum provides a full year of evidence-based instruction for each grade level, with both integrated and designated English Language Development instruction designed to give multilingual/English learners the tools to thrive. Amplify’s biliteracy program for grades K–6 includes:

  • Core English language arts instruction: Amplify Core Knowledge Language Arts (CKLA) California (grades K–5) and Amplify ELA California (grade 6) covering knowledge building and foundational skills.
    • Provides upper grade foundational skills instruction for grades 3–6.
  • Core Spanish language arts instruction: Amplify Caminos California, a fully parallel SLA program that works in tandem with English core instruction across all grades.
    • Provides upper grade foundational skills instruction for grades 3–6.
  • Designated English Language Development: Language Studio California is the designated English Language Development companion that directly aligns with and supports core English instruction. 
  • Newcomer Support: Amplify California Language Arts Newcomer Support to facilitate instruction for students who are new to both English and the United States.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading bringing together foundational skills and knowledge building to deliver instruction grounded in the Science of Reading.

This model is integral to the structure of the Amplify biliteracy program, which directly aligns with the CA CCSS ELA and ELD standards by combining rigorous decoding and skills instruction with research-based knowledge and language development instruction. In its early grades, the Amplify biliteracy program uses a two-strand structure—Skills/Lectoescritura and Knowledge/Conocimiento—to effectively address this learning challenge while meeting standards expectations for both language development and academic content mastery.

Diagram with three orange squares labeled: "Language comprehension," "Word recognition," and "Skilled reading," connected by multiplication and equals signs, with Spanish headings above each square.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grade 6

Amplify Caminos California lessons are designed to allow all students time to work toward learning objectives, including peer collaboration and discussion. Since each lesson activity is aligned to subsequent activities, students’ understanding and analysis develops progressively throughout the lesson.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

Amplify CKLA California and Amplify Caminos California empower teachers to deliver effective instruction and keep students engaged with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Dedicated ELD support with Language Studio California
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Dedicated ELD support with Language Studio California
  • Trade books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for multilingual/English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–6, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence documents for each grade level. 

Routines

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger-tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-building routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Cross-Linguistic Transfer routines

The Cross-Linguistic Transfer (CLT) routines are easy-to-implement, 10–15 minute mini-lessons designed to help bridge English and Spanish literacy and language development. These structured routines are organized by grade bands for K–2, grades 3–5 and grade 6, covering five skill areas:

  • Oral language
  • Reading
  • Vocabulary
  • Language
  • Writing

[Reviewer highlight video] Amplify’s program alignment to Cross-Linguistic Transfer criteria

Designated English Language Development materials

Language Studio California is a K–8 content-based companion for English language learners. Built on Amplify CKLA California and Amplify ELA California’s carefully sequenced Knowledge Domains, it combines engaging content knowledge with targeted supports and research-based strategies to help students move swiftly toward language proficiency. This program includes:

  • Real-world content to provide authentic opportunities to practice reading, writing, speaking, and listening.
  • Scaffolding strategies and differentiated instruction to offer targeted support along five English proficiency levels.
  • Progress monitoring tools to help teachers provide consistent and effective support.
  • Teacher Guides that:
    • Provide impactful progress monitoring tools including formative and summative assessments, and Language Proficiency Assessment rubrics.
    • Offer varied differentiation strategies including Support, Challenge, and Access supports in each lesson segment.
    • Are organized into thoughtful lesson segments—Talk Time, Building Background, On Stage and more—that make learning objectives concrete.
  • Activities that:
    • Expand on domain knowledge from core content and read-alouds and prompt collaborative conversation to practice oral fluency.
    • Support hands-on language activities to promote authentic interaction in the classroom.
    • Help students bridge experiences and knowledge with images, vocabulary activities, graphic organizers, anticipation guides, writing space, and more.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement California’s required reading difficulties screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted
support
Tier 3: 
Intensified/ intensive
support
Core instruction assessments





Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments


Frequency of administration
mCLASS DIBELS and Lectura



3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura



Monthly
mCLASS DIBELS and Lectura



Bi-weekly
Informal progress monitoring assessments




Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California core assessments

Daily
Intervention Toolkit progress monitoring assessments



When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments



When linked to a lesson in the toolkit
Diagnostic assessment







Frequency of administration
Amplify skill diagnostic assessment


Amplify Spanish skill diagnostic assessment

Optional after universal screening assessment is administered
Amplify skill diagnostic assessment


Amplify Spanish skill diagnostic assessment

After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition (K–8) and mCLASS Lectura (K–6) are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY, and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California provide a comprehensive suite of assessments for grades K–6 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grade 6).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grade 6).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“Solo”) with reading questions that are scored to measure comprehension (grade 6).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grade 6)
  • Unit reading assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grade 6)

Performance assessments

Student Performance Assessments are multi-day assessments administered in Grades K–5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.

Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California are developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. The programs include clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including Multilingual/English Learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. Lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary building
    • Core connections
    • Essential background information building
    • What Have We Already Learned?/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California and Amplify Caminos California provide point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-driven MTSS resources

  • The K–6 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills.
  • Fluency packets (Grades 2–6)
  • Foundational Skills Intervention Program for Grades 3–6 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support multilingual/English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading and Boost Lectura are student-led digital intervention programs that follow the scope and sequences of Amplify CKLA California and Amplify Caminos California respectively, to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California, Amplify Caminos California, and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–6

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grade 6) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grade 6) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • On-the-Fly supports (Grade 6)—quick call-outs to the identifying features of “on track” and “needs support” students accompanied by short models of student guidance to foster strong performance

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for multilingual/English learners and students struggling to read, including translated Unit Background and Context documents and Text Previews
  • Teacher Dashboard and reporting tools provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grade 6) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grade 6), available in English and Spanish
  • Unit Overview and Support documents (Grade 6) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on Take-Home Pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

Welcome, K–8 Program 2 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA/ELD Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify Core Knowledge Language Arts (CKLA) California and Amplify ELA California, Language Studio California for grades K–8. Physical and digital review materials will vary by grade level.

Reviewer Binders (K–8)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–4.
  • The third binder will contain the printed Standards Maps for grades 5–8.

Physical samples (K–5)

You can expect to receive 15 boxes of physical materials for your review. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder. Please note you will not receive any physical samples for grades 6–8 ELA or Language Studio for grades K-8. Your review of the program for grades 6–8 ELA and Language Studio for grades K-8 will be entirely digital.

Digital samples

In order to access your digital samples, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grades 6–8

Click here for additional information on navigating the digital materials for grades 6–8.

Category 1: English Language Arts (ELA) and English Language Development (ELD) Content/Alignment to Standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Language Arts for each grade level. Please note that you will need to be logged into the digital platform to access the links in the Standards Maps.

ELD Standards Maps

Category 2: Program Organization

The Amplify California Language Arts Program 2 submission includes Amplify CKLA California for Grades K–5, Amplify ELA California for Grades 6–8, and Amplify Language Studio California for Grades K–8. This comprehensive curriculum provides a full year of evidence-based instruction for each grade level, with both integrated and designated English Language Development instruction designed to give English learners the tools to thrive.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading and The Reading Rope–bringing together foundational skills and knowledge building to deliver instruction grounded in the Science of Reading.

Flowchart illustrating skilled reading as the product of language comprehension and word recognition, grounded in the science of reading.
Diagram illustrating the interplay between language comprehension and word recognition in reading, as seen in early literacy stages. It highlights pathways through knowledge, vocabulary, and sentence understanding, reflecting principles from the CKLA reading program.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grades 6–8

Amplify CKLA California empowers teachers to deliver effective instruction and keeps students engaged with with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Dedicated ELD support with Language Studio California
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Dedicated ELD support with Language Studio California
  • Trade Books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Provide intentional ELD support. Honor students’ linguistic assets while building academic English through both integrated and designated instruction.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–8, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence for each grade level. 

Routines

Amplify CKLA California and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger-tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-Building Routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Designated English Language Development materials

Language Studio California is a K–8 content-based companion for English language learners. Built on Amplify CKLA California’s and Amplify ELA California’s carefully sequenced Knowledge Domains and units, it combines engaging content knowledge with targeted supports and research-based strategies to help students move swiftly toward language proficiency. This program includes:

  • Real-world content to provide authentic opportunities to practice reading, writing, speaking, and listening.
  • Scaffolding strategies and differentiated instruction to offer targeted support along with five English proficiency levels.
  • Progress-monitoring tools to help teachers provide consistent and effective support.
  • Teacher Guides that:
    • Provide impactful progress monitoring tools including formative and summative assessments and Language Proficiency Assessment rubrics.
    • Offer varied differentiation strategies including Support, Challenge, and Access Supports in each lesson segment.
    • Are organized into thoughtful lesson segments—Talk Time, Building Background, On Stage and more—that make learning objectives concrete.
  • Activities that:
    • Expand on domain knowledge from core content and read-alouds and prompt collaborative conversation to practice oral fluency.
    • Support hands-on language activities to promote authentic interaction in the classroom.
    • Help students bridge experiences and knowledge with images, vocabulary activities, graphic organizers, anticipation guides, writing space, and more.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement the California’s required universal screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted support
Tier 3: 
Intensified/ intensive support
Core instruction assessments





Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Amplify CKLA California, Amplify Caminos California, Amplify ELA California assessments

Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura


3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments

Frequency of administration
mCLASS DIBELS and Lectura



3 times per year – BOY, MOY, EOY
mCLASS DIBELS and Lectura



Monthly
mCLASS DIBELS and Lectura



Bi-weekly
Informal progress monitoring assessments




Frequency of administration
Amplify CKLA California, Amplify Caminos California, Amplify ELA California core assessments

Daily
Intervention Toolkit progress monitoring assessments




When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments




When linked to a lesson in the toolkit
Diagnostic assessment






Frequency of administration
Amplify skill diagnostic assessment

Amplify Spanish skill diagnostic assessment

Optional after universal screening assessment is administered
Amplify skill diagnostic assessment

Amplify Spanish skill diagnostic assessment

After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California and Amplify ELA California provide a comprehensive suite of assessments for Grades K–8 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grades 6–8).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grades 6–8).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“solo”) with reading questions that are scored to measure comprehension (grades 6–8).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grades 6–8)
  • Unit Reading Assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grades 6–8)

Performance Assessments

Student Performance Assessments are multi-day assessments administered in Grades K-5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.

Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California and Amplify ELA California were built on the principles of Universal Design for Learning (UDL) and reviewed by CAST, a nonprofit education research and development organization. The program is developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

The programs incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. In Amplify CKLA California, the Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. Amplify CKLA California includes clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including English Learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. In Amplify ELA California, lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

Throughout the Teacher Guides, point-of-use Differentiation icons provide targeted instructional strategies and supports. These icons indicate specific guidance for advanced learners, students who need additional support, and English learners, allowing teachers to easily identify and implement appropriate scaffolds and extensions during instruction. In addition, teachers are provided with recommendations for resources to use with each group of students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary words
    • Core Connections
    • Essential Background Information or Terms
    • What Have We Already Learned/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small-group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California provides point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-Driven MTSS resources

  • The K–8 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills
  • Fluency Packets (Grades 2–5)
  • Foundational Skills Intervention Program for Grades 3–8 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading is a K–5 student-led digital intervention program. Boost Reading follows Amplify CKLA California’s scope and sequence to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–8

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grades 6–8) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grades 6–8) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • Student Supports in all core lessons that provide teachers with targeted supports in daily core instruction, addressing which might serve the student best in the moment—support, strengthen, stretch—with additional call-outs for newcomers

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for English learners and students struggling with reading, including translated Unit Background and Context documents and Text Previews
  • Teacher dashboard and reporting tools (Grade 6–8) provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grades 6–8) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grades 6–8), available in English and Spanish
  • Unit Overview and Support documents (Grades 6–8) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on take-home pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

Welcome, K–8 Program 1 reviewers!

We’re honored to introduce you to Amplify California Language Arts. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California ELA Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your review samples

We’re excited for you to begin your review of Amplify Core Knowledge Language Arts (CKLA) California and Amplify ELA California. Physical and digital review materials will vary by grade level.

Reviewer Binders (K–8)

Your physical samples should have arrived in grade-specific boxes with three Reviewer Binders.

  • The first binder will contain logistical program review information and the printed Evaluation Criteria Map.
  • The second binder will contain the printed Standards Maps for grades K–4.
  • The third binder will contain the printed Standards Maps for grades 5–8.

Physical samples (K–5)

You can expect to receive 15 boxes of physical materials for your review. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each box as well as within your Reviewer Binder. Please note you will not receive any physical samples for grades 6–8. Your review of the program for grades 6–8 will be entirely digital.

Digital samples (K–8)

In order to access your digital samples, you’ll need to log in to our platform using your unique login credentials found on a Digital Review Credential flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Review Credential flyer.

Navigation tips

Before you get started, please review these important functionality notes:

Criteria Map and Standards Maps must be opened on Microsoft Word on your desktop to function as intended. If you open the documents without Microsoft Word on your desktop, citations will be cut off at the bottom of most tables within the document.

Many of our citations are deep-links to PDFs, meaning they will take you to the right page or the first page in the sequence for the citation in question. To ensure this functionality works, please disable any PDF-viewing extensions or plug-ins such as Adobe Acrobat Pro Browser Extension.

[Reviewer program navigation video] Grades K–5

[Reviewer program navigation video] Grades 6–8

Click here for additional information on navigating the digital materials for grades 6–8.

Category 1: English Language Arts (ELA) and English Language Development (ELD) Content/Alignment to Standards

Evaluation Criteria Map

Linked below is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

ELA Standards Maps

The links below provide the Standards Maps for Amplify California Core Language Arts for each grade level. Please note that you will need to be logged into the digital platform to access the links in the Standards Maps.

Category 2: Program Organization

The Amplify California Language Arts Program 1 submission includes Amplify CKLA California for Grades K–5 and Amplify ELA California for Grades 6–8. This comprehensive curriculum provides a full year of evidence-based instruction for each grade level, transitioning from foundational literacy to advanced text analysis.

Program structure

Amplify’s California Language Arts programs are built on what the research shows: Strong readers need both word recognition and language comprehension. Our comprehensive curriculum suite follows the Simple View of Reading and The Reading Rope–bringing together foundational skills and knowledge building to deliver instruction grounded in evidence-based literacy practices.

Flowchart illustrating skilled reading as the product of language comprehension and word recognition, grounded in the science of reading.
Diagram illustrating the interplay between language comprehension and word recognition in reading, as seen in early literacy stages. It highlights pathways through knowledge, vocabulary, and sentence understanding, reflecting principles from the CKLA reading program.

Each lesson follows a predictable structure with clearly marked components, beginning with warm-up routines, progressing through explicit instruction with guided practice, and concluding with independent application activities. The program provides detailed teacher language, including question stems and discussion prompts, ensuring clear and consistent delivery of instruction.

[Reviewer highlight video] Program organization for Category 2

[Reviewer highlight video] Program structure for grades K–2

[Reviewer highlight video] Program structure for grades 3–5

[Reviewer highlight video] Program structure for grades 6–8

Amplify CKLA California empowers teachers to deliver effective instruction and keeps students engaged with the following resources:

  • Teacher Guides
  • Assessment Guides
  • Authentic texts and trade books
  • Knowledge Image Cards
  • Knowledge Flip Books
  • Remediation and intervention resources
  • Decodable readers
  • Student Readers and novels
  • Student Activity Books
  • Poet’s Journals
  • eReaders
  • Sound Library featuring articulation videos and songs
  • Instructional routine modeling videos
  • Assignable Practice Games
  • On-demand professional development

Amplify ELA California students stay engaged with the following resources:

  • Teacher Guides that include:
    • Detailed lesson plans
    • Standards alignment and exit tickets
    • Real-time differentiation strategies
    • Robust reporting
  • Student Editions that include:
    • High-quality narrative and informational texts
    • Videos, audio supports, and digital experiences that capture their attention
    • Personal Writing Journal to keep all student writing in one place
  • Trade Books

Core literacy philosophy

Support every learner. Meet all learning needs with a Multi-Tiered System of Supports (MTSS) that brings together universal screening, scaffolded core instruction, support for English learners, and data-driven intervention to ensure every student gets what they need to succeed.

Deliver consistent foundational skills instruction. Daily explicit, systematic skills instruction in grades K–2, with targeted yet flexible support for students still building decoding confidence in grades 3–8, ensures mastery of essential reading foundations.

Build lasting knowledge across all grades. Through coherently sequenced, content-rich instruction that revisits key vocabulary and concepts with increasing complexity, students build meaningful connections that deepen their vocabulary and reading comprehension.

Strengthen reading through writing at every level. Regular writing instruction grounded in the Science of Writing supports reading comprehension, improves sentence-level writing, and provides the foundation for high-quality composition. As students progress through the upper grades, they engage in increasingly complex analytical tasks—synthesizing ideas, drawing generalizations, and interpreting multiple textual layers through both focused quick-writes and comprehensive essays. 

Foster oral language development. Structured opportunities for academic conversation and evidence-based dialogue build students’ ability to express complex ideas with precision and allow them to participate confidently in classroom discussions.

Measure growth with comprehensive assessments. Assessments range from in-the-moment checks for understanding to summative assessments that measure progress toward skills mastery and standards proficiency, providing the data needed to drive targeted instruction.

Scope and sequence

Below you can view the scope and sequence for each grade level. 

Routines

Amplify CKLA California and Amplify ELA California include several structured instructional routines that provide predictable patterns for both teachers and students:

Discussion and collaboration routines:

  • Turn and Talk: Partners discuss text-specific content using sentence starters and frames
  • Think-Pair-Share: Students engage in individual thinking, partner discussion, and whole-class sharing
  • Partner reading: Students sit shoulder-to-shoulder, taking turns reading and listening

Foundational Skills routines:

  • Sound-spelling review: Warm-up activities that reinforce phonics patterns
  • Oral blending warm-ups: Teacher-guided practice progressing to independent application
  • Finger tapping: Techniques for blending sounds
  • Chaining activities: Students manipulate letters to transform one word into another
  • Word Work: Daily short activities focused on domain-specific and academic vocabulary

Knowledge-building routines:

  • Vocabulary preview: Introduction of new words before reading
  • Read-aloud procedures: Established routines for introducing and discussing complex texts
  • Text discussions: Structured comprehension conversations with scaffolded questioning

Fluency routines:

  • Teacher modeling: Demonstration of proper intonation, expression, and pacing
  • Choral reading: Whole-class reading practice
  • Partner reading: Paired fluency practice

Close reading routines

The program includes carefully structured close reading activities that guide students through multiple encounters with complex texts. These routines help students develop deeper comprehension through systematic analysis and discussion.

Each routine includes comprehensive instructional guides with clear-cut directions for implementation, straightforward explanations of concepts, and suggestions for discussion.

Category 3: Assessments

Systematic MTSS alignment

In alignment with the additional 2025 Guidance 3.1.a, the assessment systems align with MTSS tiers, including universal screening, diagnostic assessments for students demonstrating a need for additional support, and progress monitoring tools that complement California’s required universal screening schedule per SB 114.

Tier 1:
Universal/ differentiated support
Tier 2: 
Supplemental/ targeted support
Tier 3: 
Intensified/ intensive support
Core instruction assessments




Frequency of administration
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Amplify CKLA California, Amplify ELA California assessments


Daily, Weekly, Monthly
Universal screening assessments

Frequency of administration
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura

3 times per year – BOY, MOY, EOY
Formal progress monitoring assessments


Frequency of administration
mCLASS DIBELS and mCLASS Lectura


3 times per year – BOY, MOY, EOY
mCLASS DIBELS and mCLASS Lectura


Monthly
mCLASS DIBELS and mCLASS Lectura


Bi-weekly
Informal progress monitoring assessments



Frequency of administration
Amplify CKLA California, Amplify ELA California core assessments


Daily
Intervention Toolkit progress monitoring assessments


When linked to a lesson in the toolkit
Intervention Toolkit progress monitoring assessments


When linked to a lesson in the toolkit
Diagnostic assessment



Frequency of administration
Amplify skill diagnostic assessment


Optional after universal screening assessment is administered
Amplify skill diagnostic assessment


After universal screening assessment is administered

Universal assessment system

Amplify’s mCLASS® DIBELS® 8th Edition (K–8) and mCLASS Lectura (K–6) are universal and dyslexia screening assessments that should be administered three times per year (BOY, MOY and EOY) to all students. The assessments evaluate student literacy risk, determine progress toward grade-level goals, and indicate the level of instructional  support a student may need. Beginning-of-year screenings require adequate instructional time before administration, particularly in grades K–1, while mid-year and end-of-year assessments evaluate instructional effectiveness and guide tier placement adjustments. These screenings also identify students at risk for dyslexia. Universal screening provides essential data for targeting instruction and measuring instructional system effectiveness.

Core instruction assessments

Amplify CKLA California and Amplify ELA California provide a comprehensive suite of assessments for Grades K–8 that range from low-stakes, informal formative assessments to more formal summative assessments. These assessments incorporate a variety of methods and question types, including multiple-choice questions, open-ended questions, and oral and written responses.

Formative assessments:

  • Checks for Understanding: Incorporated into each lesson segment throughout daily instruction. Quick pulse-checks that provide immediate feedback during lesson delivery (grades K–5). 
  • Daily formative assessments: Highlighted moments within each lesson for teachers to plan to track mastery of Primary Focus objectives and standards of each lesson to get a clear snapshot of individual and whole-class progress (grades K–5). 
  • Activity pages: Completed as part of lessons and can be used to assess lesson content understanding through various formats (grades K–5).
  • Exit Tickets: Located at the end of lessons, these provide a quick gauge of students’ ability to meet the lesson’s focus standards (grades 6–8).  
  • Writing Prompts: Prompts integrated throughout lessons during writing activities that provide skill snapshots within lessons and tracks patterns of skill development over time (grades 6–8).
  • Independent reading activities (Solos): At the end of every lesson, students complete an independent reading activity (“Solo”) with reading questions that are scored to measure comprehension (grades 6–8).

Summative assessments:

  • Skills end-of-unit assessments (grades K–2) 
  • Knowledge end-of-domain assessments (grades K–2) 
  • End-of-unit assessments (grades 3–5) 
  • Unit essays: A culminating end-of-unit set of lessons that guide students through crafting an essay with a rubric to score mastery of writing skills (grades 6–8)
  • Unit Reading Assessments: Auto-scored responses and two constructed response items evaluate comprehension, content understanding, and reading skills using the passages students read during the unit (grades 6–8)

Performance Assessments

Student Performance Assessments are multi-day assessments administered in Grades K–5 at the beginning, middle, and end of year to help teachers gauge student mastery of grade-level Core content. These assessments provide critical data to help teachers set targeted instructional goals and monitor individual and class-wide progress towards core objectives.

Progress monitoring

Amplify’s mCLASS® DIBELS® 8th Edition and mCLASS Lectura provide formal progress monitoring in the discrete skills that are indicative of reading growth and predictive of overall success to provide the most instructionally meaningful information to teachers.


Informal progress monitoring tools can be found within the Intervention Toolkit, including materials for teachers to record, track, and evaluate student progress.

Diagnostic assessment

Interventions within Amplify’s literacy programs are informed by a skill diagnostic assessment that provides detailed data on foundational literacy skill deficits. The Amplify Skill Diagnostic Assessment and Amplify Spanish Skill Diagnostic assessment serve as critical tools in this process, administered specifically to students identified as at risk for reading difficulty through universal screening assessments—particularly those demonstrating mCLASS DIBELS 8th Edition or mCLASS Lectura composite scores in the Well Below or Below Benchmark ranges. These diagnostic assessments provide teachers with the precise skills to begin intervention and remediation.

Category 4: Universal Access

Amplify CKLA California and Amplify ELA California were built on the principles of Universal Design for Learning (UDL) and reviewed by CAST, a nonprofit education research and development organization. The program is developed using the Universal Design for Learning framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Universal Design for Learning

The programs incorporate opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning.

  • Multiple Means of Engagement: The programs incorporate interesting and motivating ways for students to interact with information and content. In Amplify CKLA California, the Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students. Scaffolding for students with various levels of need is incorporated into the design of each lesson.
  • Multiple Means of Representation: The programs provide multiple means of presenting content to maximize student understanding. This includes digital component files that allow for a range of presentations of images and text to support learning. Amplify provides access to universal supports such as point-of-use audio for all core texts, embedded definitions for critical vocabulary, and glossaries in multiple languages. Amplify CKLA California includes clarification on language found throughout the program, with sidebars that include support on transition words and syntax, and illustrations to help students understand the concepts they are learning.
  • Multiple Means of Action and Expression: The programs include a range of methods for all students, including English learners, to navigate and demonstrate learning. This includes physical actions, a range of methods for response, appropriate tools for composition, and varied scaffolding. In Amplify ELA California, lessons provide multiple ways for students to interact with text, allowing their brains to process the language through distinct pathways. Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.
  • Accessibility: Universal access features include visual aids, enlarged materials, physical objects, and multiple learning modalities through activities like Push & Say and Wiggle Cards. The Universal Access section in the introduction of each lesson provides specific lesson-level options based on the needs of individual classrooms and students.

Embedded differentiation

Amplify CKLA California and Amplify ELA California provide built-in differentiation strategies in every lesson for all students.

  • Pre-teaching supports include mini-lessons on:
    • Core vocabulary building
    • Core connections
    • Essential background information building
    • What Have We Already Learned?/What Do We Already Know?
  • Differentiated Support for Core Instruction tables, located in the overview of each K–2 Skills Teacher Guide, provide a list of specific opportunities for reteaching and additional support in each lesson based on skill.
  • Support and Challenge Sidebars in lesson margins offer educators immediate guidance in implementing point-of-use differentiation techniques.
  • Flexible Grouping within lessons provides opportunities for teachers to facilitate small groups, partners, or individualized support based on students’ needs. In the Skills Strand, teachers receive specific guidance for differentiated small-group instruction, with targeted support and activities outlined for both Group 1 (students needing additional support) and Group 2 (on-level students) based on data. 
  • Amplify ELA California provides point-of-use supports embedded within key core lesson activities with six levels of differentiation. The goal of these supports is to fully enable access to grade-level content for all students, including students with disabilities, English learners, and students ready for an additional level of challenge.
  • The Universal Access section of Advance Preparation in each lesson includes varied strategies to ensure all students can access and engage in each lesson.
  • Frequent use of graphic organizers and visual supports in lessons provide opportunities for differentiation based on need. The program also includes a variety of technological supports, such as eReaders with audio.
  • Extension opportunities are suggested throughout lessons, often embedded in writing tasks, which include prompts to use more complex and descriptive vocabulary, figurative language,  multi-clause and complex sentences, and  informational text characteristics.

Assessment-driven MTSS resources

  • The K–8 Intervention Toolkit is available online and provides easy-to-use resources that assist teachers in filling gaps in students’ reading skills, with activities to support print concepts, phonological awareness, phonics, fluency, and other key skills
  • Fluency Packets (Grades 2–5)
  • Foundational Skills Intervention Program for Grades 3–8 support students who would benefit from direct and explicit intervention instruction in the full continuum of foundational skills in the upper grades
  • Flexible Instructional Time including:
    • Pausing Points built into the curriculum that provide teachers with dedicated time to address specific student needs through targeted reteaching, remediation, practice, and extension activities 
    • Pausing Point activities designed to support English learners’ competence and confidence through differentiated whole-group, small-group, or individual instruction
  • Boost Reading is a K–5 student-led digital intervention program. Boost Reading follows Amplify CKLA California’s scope and sequence to reinforce the same foundational skills taught in core instruction. It integrates easily into daily routines, while the robust data provided by mCLASS® DIBELS® 8th Edition offers a detailed view of how students progress across all instructional tiers.

Category 5: Instructional Planning and Teacher Support

Amplify CKLA California and Amplify ELA California teachers are empowered to deliver effective instruction with various print and digital resources. The program provides comprehensive planning and support materials designed to help teachers prepare for and execute lessons effectively and fulfill the requirements of Category 5.

Implementation supports across K–8

Planning and preparation resources

  • Unit Overviews that provide important background and context for the texts students will read, including highlighted elements within the text and guidance for how students will work with those elements
  • Sub-unit Overviews (Grades 6–8) that provide an overview of Lesson Objectives and reading and writing assignments, as well as a list of any projections, multimedia, or digital apps that can be projected from the teacher’s included digital license
  • Lesson-by-lesson preparation checklists (Grades 6–8) accompanying each Sub-unit Overview
  • Lesson Briefs for each individual lesson providing important background and context
  • Content knowledge materials regarding topics that students will examine

Point-of-use instructional guidance

  • Teacher Editions that feature insets of the same text and activity instructions as the corresponding Student Edition, wrapping teacher instruction around these materials
  • Activity guidance at point of use
  • Lesson standards clearly called out
  • Discussion suggestions embedded in lessons
  • Differentiation tips at point of use
  • Detailed Instructional Guides in each activity that include sequencing and grouping suggestions, tips for facilitating discussion, possible student responses and exemplars
  • Student Supports in all core lessons provide teachers with targeted supports in daily core instruction, addressing which might serve the student best in the moment—support, strengthen, stretch—with additional call-outs for newcomers

Multimedia and digital support

  • Teacher tip videos provide modeling and guidance for implementing key foundational skills routines within the program
  • Digital platform access where teachers can access printable PDFs of differentiated support materials for English learners and readers struggling with text, including translated Unit Background and Context Documents and Text Previews
  • Teacher Dashboard and reporting tools (Grade 6–8) that provide real-time visibility into student progress and work for immediate instructional response

Caregiver supports

Communication and overview resources

  • Caregiver Hub available in English and Spanish that provides an overview of the curriculum
  • Caregiver Letters for each K–2 Knowledge Domain and unit in Grades 3–5 that provide an overview of the content, the skills students learn, as well as practical methods that continue the learning and knowledge building at home
  • Unit-specific Caregiver Letters (Grades 6–8) that provide detailed information regarding what students will read and learn in each unit, including conversation starters that allow caregivers to ask questions and discuss specific aspects of a unit with their student
  • Welcome letters that explain the assessment and placement process while inviting parent involvement and offering support
  • Editable Home-School Communication letters available in English and Spanish
  • Editable Progress Reports for teachers to update parents and guardians on what their child is learning

Content and learning support materials

  • Unit Background and Context documents that provide an introduction and overview to the unit’s topic and themes, available in English and Spanish
  • Text Previews that provide a brief introduction to formative, independent reading assignments (called Solos in Grades 6–8), available in English and Spanish
  • Unit Overview and Support documents (Grades 6–8) designed for caregivers that provide information about important questions, assignments, and key aspects of the unit texts, available in English and Spanish
  • Conversation starters included in Knowledge Strand Caregiver Letters to discuss domain topics at home

Home practice and extension activities

  • Take-Home pages in the Skills Strand that include copies of decodable passages, enabling students to share their reading progress with families and continue practicing their skills outside of school
  • Take-Home Letters in the Skills Strand that provide specific guidance for parents to support skills practice at home, such as sound-sorting activities, with detailed instructions and materials for home practice activities
  • Take-Home pages in the Knowledge Strand that provide suggested activities families can do together to reinforce and extend learning beyond the classroom
  • Games and activities on Take-Home Pages that extend classroom instruction, including all the materials and instruction necessary to help families assist students in a fun and engaging way
  • Digital access to decodable texts through the Amplify Caregiver Hub, allowing students to practice their reading skills both in class and at home
  • Weekly spelling lists and directions to decoding activities that can be practiced at home

Welcome, Algebra 1 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of your Reviewer Binder contained within the Algebra 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Map

Linked here is the Standards Map for Amplify Desmos Math California for Algebra 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map Algebra 1. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Algebra 1.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Algebra 1.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Algebra 1.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Algebra 1 lesson design and alignment to the Big Ideas.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for Amplify Desmos Math California Algebra 1. 

A chart showing Algebra 1 units across two volumes, detailing instructional days, assessment days, and optional days for each unit, totaling 180 days plus 40 optional days.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  

Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 

Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.

Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.

Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.

Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Pre-Unit Check: Each unit begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.

End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.

Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.

Performance Tasks: At the end of each unit there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 

Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A chart outlines three differentiation strategies—Support, Strengthen, and Stretch—with specific actions for each. A Math Language Development box is shown at the bottom.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language Goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English Learner Supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 

Other Curriculum Guidance

  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Welcome, Math 1 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of your Reviewer Binder contained within the Math 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the tub as well as within your Reviewer Binder.

Digital Samples

  • In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:
    • Click the orange button below to access the platform.
    • Click “Log in with Amplify.”
    • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Map

Linked here is the Standards Map for Amplify for Math 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for Math 1. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards of Mathematical Practice

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Math 1.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A chart with three columns: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections. Each column lists related activities and skills.

California English Language Development Standards

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Math 1.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Math 1.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Math 1 lesson design and alignment to the Big Ideas.

Program Structure

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A flowchart diagram showing "Screening and progress monitoring" linked to three phases: Core instruction, Integrated personalized learning, and Embedded Intervention, with daily support noted.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for Amplify Desmos Math California Math 1. 

Mathematics I syllabus: Unit 1 to Unit 7 across two volumes, covering various math topics with instructional, assessment, and optional days detailed for each unit.

Lesson Design and Structure

Infographic showing a learning process: Warm-Up, Activities, Synthesis, and Reinforcement. Activities aim to increase student understanding over time.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  

Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 

Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.

Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.

Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.

Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Pre-Unit Check: Each unit begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.

End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.

Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Math 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.

Performance Tasks: At the end of each unit there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 

Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A differentiation guide for Lesson 3 showing strategies for support, strengthen, and stretch, plus a section on math language development resources, all in a structured layout.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language Goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English Learner Supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book.

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Grade 6

Chapter 1: Numerical Expressions and Factors

Big IdeasDesmos Math 6–A1
Lesson 1: Powers and ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Practice Day 2 (Print available)
Lesson 2: Order of OperationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 3: Prime Factorization
Lesson 4: Greatest Common FactorUnit 5
Lesson 15: Common factors
Lesson 5: Least Common MultipleUnit 5
Lesson 14: Common Multiples
Practice Day 2 (Print available)

Chapter 2: Fractions and Decimals

Lesson 1: Multiplying FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 2: Dividing FractionsUnit 4
Lesson 1: Cookie Cutter
Lesson 2: Making Connections (Print available)
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Practice Day (Print available)
Lesson 3: Dividing Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 14: Planter Planner (Print available)
Practice Day
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams 
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12: Budget Vehicles (Print available)
Lesson 7: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson] 
Lesson 12:(Print available) Budget Vehicles 
Practice Day 1 (Print available)
Practice Day 2 (Print available)

Chapter 3: Ratios and Rates

Chapter 4: Percents

Chapter 5: Algebraic Expressions and Properties

Chapter 6: Equations

Chapter 7: Area, Surface Area, and Volume

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Chapter 9: Statistical Measures

Chapter 10: Data Displays

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 2: Dividing IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 3: Converting Between Fractions and DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 4: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 5: Dividing Rational NumbersUnit 5
Lesson 8: Speeding Turtles

Chapter 3: Expressions

Chapter 4: Equations and Inequalities

Chapter 5: Ratios and Proportions

Chapter 6: Percents

Chapter 7: Probability

Chapter 8: Statistics

Chapter 9: Geometric Shapes and Angles

Chapter 10: Surface Area and Volume

Lesson 1: Surface Area of Prisms
Lesson 2: Surface Area of Cylinders
Lesson 3: Surface Area of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 4: Volumes of Prisms
Lesson 5: Volumes of Pyramids
Unit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2 (Print available)
Lesson 6: Cross Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids

Grade 8

Chapter 1: Equations

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Chapter 4: Graphing and Writing Linear Equations

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 8: When Are They the Same?
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Practice Day 2 (Print available)
Lesson 2: Solving Systems of Linear Equations by Substitution
Lesson 3: Solving Systems of Linear Equations by Elimination 
Lesson 4: Solving Special Systems of Linear Equations 
Lesson 6: Scale Drawings

Chapter 6: Data Analysis and Displays

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Linear FunctionsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 4: Comparing Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 5: Analyzing and Sketching GraphsUnit 5  
Lesson 6: Graphing Stories

Chapter 8: Exponents and Scientific Notation

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 2: The Pythagorean Theorem
Lesson 3: Finding Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 4: Rational Numbers 
Lesson 5: Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 6: The Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right

Chapter 10: Volume and Similar Solids

Winter Wrap-Up 02: Mathematizing Children’s Literature

Promotional graphic for Math Teacher Lounge podcast, episode 2, featuring Allison Hintz and Antony Smith, discussing how mathematizing children's literature can build math fluency.

While we’re hard at work producing the exciting fifth season of Math Teacher Lounge: The Podcast, we’re continuing to share some of our favorite conversations from our first four seasons. This time around, we’re revisiting our popular episode that connected literacy and math!

In this episode, we sit down with Allison Hintz and Antony Smith, authors of Mathematizing Children’s Literature, to talk about what would happen if we were to approach children’s literature, and life, through a math lens–and how we can apply those same techniques to classroom teaching!

Explore more from Math Teacher Lounge by visiting our main page

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Bethany Lockhart Johnson (00:02):

Hi, I’m Bethany Lockhart Johnson.

Dan Meyer (00:04):

Hi, I’m Dan Meyer.

Bethany Lockhart Johnson (00:05):

And we are so excited for another episode of Math Teacher Lounge. And as you know, podcast format; you’re listening now. I think one beautiful thing about the podcast format is that it gives us a little bit more time to have these rich conversations. And I promise I won’t do it, but I could talk to our guests for hours, hours! Authors Allison Hintz and Tony Smith have just released Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion. And today we get to talk to the authors. Allison, Tony, welcome. Welcome to the lounge.

Allison Hintz (00:53):

Thank you. We’re so grateful to be here.

Bethany Lockhart Johnson (00:55):

We’re so excited to have you here. And I wanna say that my very first—was it my first math conference? Maybe it was my first math conference—up in Seattle, the CGI conference, and I’m all like, you know, wide-eyed and just like, “Can this be a place for me, this math community?” Re-envisioning my relationship with math and thinking about myself as a math teacher, what? And I went to your session on mathematizing children’s literature, and I was just so fired up. I was so wowed by your ideas, your energy, and your passion for students’ thinking. And I feel like as I read this book, I felt like I was hanging out with you. Like you were just so encouraging all the way through. Of educators, of other folks working with young people, and really guiding us how to listen with joy and with an open curious mind.

Dan Meyer (02:03):

Yeah. I would love to hear a bit about the genesis of this book for you folks. Like, I’m coming at this from a secondary educator lens. I’ve got small kids, so that’s also part of my interest here. But I love any book, any idea that seeks to merge what seems like two disparate worlds. Like it’s often the case that we feel like, well, there’s approaches for ELA and approaches for math, and they’re kind of separate disciplines. And these poor elementary teachers have to learn all of them and be experts at all of them. And here you both come along and say, “Hey, what if they are the same kind of technique?” Can you just speak to how this came about?

Allison Hintz (02:38):

Definitely. Tony, do you wanna take a try? Do you want me to start us off?

Antony Smith (02:42):

I can start. We oftentimes present and talk together and so we kinda switch back and forth. So that’s just how we are. So probably about eight or nine years ago, Allison and I, our offices were next to each other on our small campus. We’re both professors and we just happened to have a few children’s books that we looked at together and we were just thumbing through the pages. We really liked children’s literature. And we noticed that I would stop at certain points wondering about character motive or plot or sequence of events or language use. And Allison would stop at very different points in the book and notice number and concepts or something about mathematics. And that’s when we started to wonder, what would it be like if we were sharing a children’s book with a group of children and we put our ideas together? Where would we stop? What would we talk about? What would we ask children about in terms of their thinking and what they notice?

Allison Hintz (03:42):

And so we started playing with these questions that we had and started approaching stories with multiple lenses to see what kinds of things would children notice and what kinds of things might they say. And we were also on our own journey in trying to understand how to plan for and facilitate lively discussions and classrooms that surface really complex mathematics. And it felt like stories were a place where that might be a fruitful context for hearing children’s thinking. We’ve worked with a lot of teachers and students in our region. We live in the Seattle area and we’ve applied for some funding over time that’s really helped us be in a lot of community-based organizations and educational contexts and libraries and pediatricians’ offices and classrooms, various classrooms, and see what’s interesting about this and what might teachers and children do with stories that would surface complex mathematics to think about together.

Antony Smith (04:41):

Over time, we came to the realization that if we wanted to hear children’s ideas, we had to stop bombarding them with questions. <laugh> Yeah. And at first it made it worse that we were asking them math and literacy questions at the same time. And so we realized that what we needed to do was to back off and to ask children what they noticed and wondered.

Bethany Lockhart Johnson (05:01):

Can you say more about that and how that kind of evolved into mathematizing children’s literature?

Antony Smith (05:07):

We did work with a number of very thoughtful, talented classroom teachers and children’s librarians in public library systems who were just so masterful at asking open-ended prompts and questions, rather than kind of like the de facto reading quiz, that a read-aloud can become, which I’ve always disliked as a literacy educator. And we realized in our observing these read-alouds or interactive read-alouds or shared reading experiences that given the opportunity in the space and an adult who was actually listening, that children came up with all of the ideas we would have asked them about and more. So we didn’t have to be bombarding them with questions. They were already much more thoughtful than what would’ve been sufficient to answer our questions.

Allison Hintz (05:58):

And much like mathematics, it was really an iterative process. You know, we had some clunky read-aloud discussions where we were trying to accomplish so much and toggling multiple chart papers and different colored pens and all sorts of “how do we capture these ideas” and “do we separate ’em? do we keep ’em together?” And so it’s really been over time that with partners, we’ve learned these ways of having multiple reads of the same story that allow us to hear what children notice and wonder, and then to delve more deeply into their questions and their ideas through multiple reads where we might spotlight literary ideas that they notice; we might spotlight mathematical ideas that they notice. We might make purposeful integrations between those. But we found it to be most productive—and Kristin Gray really help us think about this—to have an open Notice and Wonder, get everything out much like an open-strategy share. We welcome here, record all the ideas, and it goes all over everywhere. You know, it can be a really not math-y noticing! And those are amazing! So there’s a lot of, um, yes, there is a ladybug on this page! The grandma is wearing green triangle earrings! Oh, your grandma wears green earrings! I mean, it all comes out.

Bethany Lockhart Johnson (07:27):

Wait, have you been in my classroom? ‘Cause that’s exactly— <laugh>

Allison Hintz (07:29):

<laugh> And then, you know, we think of it a lot like if math teachers might use the 5 Practices for selecting and sequencing, or if you might move from an open-strategy share to a targeted share, how can we get out all the questions that children are asking and then step back from them, take some time to really think about what they’re telling us they’re curious about, and plan some purposeful, intentional subsequent discussions that can delve more deeply into their ideas.

Dan Meyer (08:02):

I’d love to go into that a little bit more if that’s all right. Um, I’m gonna speak from someone who doesn’t have an elementary background and I’m gonna voice some worries that I had, some anxiety. One anxiety I have like in a classroom or a curriculum is when there’s no room for student ideas. Right? When it’s like, oh, there’s just room for the curriculum author or the teacher here. That is a sadness. But I when I see an instructional environment like you’re describing here, where there is openness to all kinds of different student ideas, of different levels of formality, from different kinds of cultural fonts of knowledge or wherever, I also get a little bit nervous because that, like, increases the risk that a student might come to understand that “my ideas are not good enough,” whereas in the class with no room for their ideas from their home or their language or their hobbies, like, they’re not gonna internalize the message that, “that wasn’t good enough.” And so I’m really curious as you move from the open Notice and Wonder where kids share all of themselves with you, and then you move to a targeted focus on some sort of disciplinary objective, how do you navigate that tension and help students feel like their contributions are valuable, even though we aren’t taking them up per se?

Allison Hintz (09:18):

That’s such an important question. I mean, I think we’ve grappled with this broadly in math education. I think any time we’re thinking about which ideas we choose to take up to pursue to consider, we have a responsibility to think carefully about whose ideas are being taken up and heard and considered. And so one of the tensions I hear you naming, I think, Dan, is when we engage in lively discussion where children’s thinking’s at the center, how do we make sure to upend and interrupt kinda status norms that run the risk of being deepened? Um, and I think by paying attention to whose ideas are taken up as much as which ideas are taken up, and what’s the mathematics we wanna explore is one tension. Um, another tension I might hear you naming is, you know, the complications that teachers face with time and pressure and coverage, and which mathematics ends up getting worked on. And, um, you know, it’s something we’ve really had to struggle with in mathematics education, where we move to more discussion-oriented classrooms that are really centered in sense-making to know that it takes a lot of time to do this thoughtful, thoughtful work. Um, does that begin to get at some of the tensions you’re raising? Is there, is there more you’re thinking about?

Dan Meyer (10:53):

I think it’s really helpful that you kind of broadened the scope of the question beyond your book to “this is an issue that we are, you know, really challenged by and focused on broadly in math education.” And, um, I appreciate you bringing the element in of whose idea—not just which idea is taken up, but whose idea is taken up—is an opportunity where, let’s say, multiple people raise an idea that is towards an objective the teacher has, they have the opportunity to disrupt certain kinds of status, like ideas about status, in that moment. From your perspective, like, are there techniques to say, I don’t know, parking-lot certain kinds of questions and say like, “Hey, like these are awesome”? I don’t know. I just know that I see kids at like ninth grade. They are very reticent, often. They’ve internalized totally this sense of like, “I’m not gonna just, like, share about the pants the grandma’s wearing, you know; that will not be received well.” And so I’m just kinda wondering how that happens and like, what are the ways we can disrupt that? That process?

Antony Smith (11:54):

So thinking about that, Dan, from the teacher’s perspective, in those kinds of scenarios where you wanna honor each child’s contribution, a couple of things that come to mind: One is that by, you know, initially by modeling what I as a teacher, something that I notice or wonder about, helps kind of set the expectation for what kind of response would be encouraged. And it’s broad, but it gives an example. And then also we really try to record or to chart all of the ideas that are shared so that we can revisit and honor those together. And then either later or on another day, if we choose one or two of those to explore in some way within a more focused read, then another thing that we do is have the idea investigation afterward that continues that thought, but goes back to being as open-ended as possible, so that those students or children who maybe didn’t have their idea as the one that was focused on by the group could go back to that or explore some other idea of their own, so that the idea investigation isn’t a lockstep extension activity, which is why we don’t call it that. So they could again bring in their own perspective. But I have to say from the teacher’s point of view, there is that moment of potential panic <laugh> because there is that power transfer when you’re asking children to help steer where this is going. And if you really mean it, you have to let them steer a little bit. And that can be terrifying. And, um, I always think of one teacher, Ashley, we worked with who read an adorable book, Stack the Cats, by Susie Ghahremani. And in that book, there’s a point where there are eight cats and they’re kind of trying to be a tower of cats and they fall and they’re sort of in the air on that page. And she asked her first graders—she stopped, and she asked, “How, do you think, how will the cats land?” And for about a minute and a half, the entire <laugh> class, was silent. They had their little papers; they had chart paper; they had clipboards; they had everything they needed. But that unusual phenomenon of a group of six- and seven-year-olds actually just sitting and thinking and not being peppered with activities was really stressful, but amazing. And then, after about the 90 seconds, they started out into their exploration of how the eight cats might land. They just needed a minute to think. And it’s so rare that we’re able to let children have that.

Allison Hintz (14:40):

In that same moment, Ashley, who’s a learning partner to us, she turned to us kind of quietly, like, “Should I pose a different question?” And <laugh>, we’re like, “No, let’s stick with it. Let’s see what happens.” So I think it creates this space too, this thinking culture, right? And this culture of “what does that mean to really pose a rich task?That’s open-ended, where there’s multiple access points?” Those eight cats could land in so many different ways. And there was broad access, there was a wide range of all the cats landing, and one’s on their feet, ’cause cats always land on their feet <laugh>, and there was every combination. And so, um, I think what’s really interesting—and to me, this brings back to your wonder, Dan—is, you know, “What’s the risk in openness?” And there’s always risk in openness. Um, it’s scary as a teacher, right? If I’m not the authority of knowledge and I don’t have control over where we’re gonna go, it might get into places that I didn’t anticipate. Or I don’t really feel as solid in the math as I want to. Or I don’t know what it sounds like to stick with silence and wait time, to know if my students are really in productive struggle or if that question was a flop. And so, um, I think this is some practice space for young mathematicians and teachers of mathematics, and just teachers, to explore with that openness and kind of the risk of the openness required for complex thinking to emerge.

Bethany Lockhart Johnson (16:12):

You know, it feels like the way you’re both describing this, it really is a culture shift, right? I kept feeling like I was given permission to be a beginner as I read this book. Like I was really…I loved how you said, I believe it was you, Allison, when you were in the class, you had a couple index card that you kept on your clipboard and that as you walked around, you were like, “Hey, if I don’t know what to ask, I ask one of these questions.” You know? And just this idea that, that, like Dan was saying, there is that loss of control, but that’s also a way to create this culture where students ideas are valued and we are allowing students to really generate the questions, which I thought was such an important idea to explore.

Allison Hintz (17:00):

We started this work long ago, super-excited about math-y books. And we saw a lot of potential in them and we still do. But the limitation we saw is that math-y books, they, they put forth a certain mathematics to be curious about. In some ways they tell you what mathematics to think about. So we started asking ourselves what would happen if we considered any story a chance to engage as mathematical sense-makers. And we started playing with non-math-y books and we got to a place where we could consider every story an opportunity to engage in mathematical thinking. And so we started noticing things over times, oh, these books tend to be really math-y. We call those text-dependent. We’d have to pay attention to the mathematics to understand the story. Whereas this pile of stories, these, they’re not overtly math-y. You could really enjoy the story and not pay attention to mathematics and have an amazing conversation. But what would happen if we thought of about this story as mathematical sense-makers and how might it deepen our understanding of the story? And then this other teetering pile of books, these are books where, you know, children didn’t tend to engage as overtly as mathematicians in it, but there’s opportunities in this story to go back to something—to a moment, to an illustration, to a comment—and think as mathematicians. And those were more about illustration exploring. And so, as we notice these different kinds of books, we really broaden what we thought about. And I think one of the things we really wanna think about in community through this book is what happens if we approach any story, every story, as mathematical sense-makers, because stories are alive in children’s lives, in homes and communities and in schools. And it’s a broad opportunity that we wanna take up. I was thinking, as I stay in this strait for just a moment about book selection, before we move into that process, um, Bethany in a previous MTL, you talked about representation.

Bethany Lockhart Johnson (19:12):

Mm, yeah.

Allison Hintz (19:14):

And do you remember when you shared the image of hair braiding?

Bethany Lockhart Johnson (19:19):

Yes. Vividly, yes. <laugh>.

Allison Hintz (19:22):

Yeah. And can you say just what that meant to you? What that….

Bethany Lockhart Johnson (19:27):

Yeah. Well, it was from a conference; Sunil Singh had used it and was talking about the artistry in mathematics and beauty in hair braiding. And, um, particularly, he was showing this particular image of this Black woman with her hair braided in profile and looking at the angles and the symmetry. And I shared that, you know, I spent so many hours in the beauty shop with my aunties and my mom and my grandma and continue to, to this day, that it just, it struck me immediately as familiar. And it struck me immediately as seeing an image that was reflective of my lived reality, projected as valuable and worthwhile for consideration in the world of mathematics. Which is not what I felt as a student of mathematics as a young adult or child. So it was this beautiful moment of, for me, the power of when we see images and we allow opportunities for re-envisioning what may be a common practice for that student, or may be something that they see every day.

Allison Hintz (20:44):

And in that same way, that image that was put up, we wanna think really carefully about representation in the stories that we select. And when we think of stories as mirrors or windows, we really wanna be mindful in story selection of whose stories are told and whose stories are heard. And when you said that you would sit down to listen to a story and you felt at ease or that you saw an image and you saw yourself that can be and should be something we really think carefully about when we select the stories that we select.

Dan Meyer (21:21):

It’s a wider path for representation of different kinds of people in literature, because people’s stories seem so much more present and towards the surface of their lives, versus, say, the abstractions and numbers and shapes in mathematics. It feels like more of a struggle to find ways to show people, hey, like you’re here, this, this place belongs to you. So in all these reasons, I think it’s really great you folks are using literature, which has this history of humanities, literally humanities, as a vehicle for mathematics. That seems pretty special here.

Antony Smith (21:56):

We both go to libraries and bookstores and look through books as often as we can, but also our partner, a children’s librarian, Mie-Mie Wu, helped us go through—when we would meet, she would bring three or four hundred books at a time.

Bethany Lockhart Johnson (22:13):

When you described her wheeling in the cart, oh, I wish I been in that room! <Laugh>

Antony Smith (22:18):

And the cart was, you know, probably three or four times bigger than she was sometimes. And we would go through hundreds of books and look at them and listen to her thoughts as a skilled librarian sharing with families, diverse families, and what catches the attention of a three-year-old sitting with her grandfather. And that was really a valuable, helpful experience. And it’s a partnership that continues. So in Last Stop on Market Street—and this is in the book; we talk about this, this children’s book quite a bit—in this story, CJ with his Nana, his grandmother, are riding the bus to the last stop on Market Street in San Francisco, to go, as we will find out, to help serve in a soup kitchen to help the community. And the teacher, Susan Hadreas, had the children record their ideas. She charted them in an open Notice and Wonder read. And one of the ideas that a young boy noticed was that CJ on the bus…a man with a guitar starts playing the guitar on the bus and CJ closes his eyes and it says CJ’s chest grew full. And he was lost in the sound and the sound gave him the feeling of magic. So this boy said, “I wonder, what does that feel like if you’re feeling the magic? What’s that?” And that was one of many ideas in the open Notice and Wonder, and Allison will talk about the math lens read, but first Susan went back and read with them. She had that idea, she circled it on the chart paper, and another day that week, she said, let’s go back and visit this story we really liked. And remember, we wondered what feeling the magic was like. Let’s go back through and let’s keep track of all the feelings and emotions that CJ had across the journey to the soup kitchen in this book. And so they did another read of the story; they were very familiar with it, of course, but they noticed new things and they also, every few pages, stopped and she helped chart all of the emotions that CJ experienced from envy to excitement to sadness. There’s a huge range in this book. And it was fascinating.

Allison Hintz (24:36):

I think one of the things that the children noticed was that CJ’s feelings were shaped by community. And that he shaped and shaped…he was shaped by and helped shape his community. And so the ways that he felt across the story were impacted by the other characters that he comes across. The guitar man on the bus. The bus driver who can pull a coin out from behind someone’s ear. The lady with the butterflies in the jar. Nana helping him to see the rainbow. And the students started, you know, being curious about that. How do we shape and how are we shaped by community? What communities are we a part of? This class is one community. I’m in many communities across my life. And they started to quantify the number of people in the story. So Mrs. Hedreas went back for a math lens read, and she said, let’s just keep track of and pay attention to how many people are in CJ’s life in this day. Because I can hear you starting to think about quantity. This class at the same time in other areas of the day had been working on counting collections, how to keep track, so they got out their tools. Some people pulled out ten frames, some people pulled out clipboards. They had a wide range of things they could use to help them keep track. They developed their own strategy, keep track however you want. She did a quicker read through it, flipping the pages, and then they get into these debates: <laugh> “We already counted that person!” “But they took their hat off and put it down to collect money!

Antony Smith (26:10):

“What about the dog?”

Allison Hintz (26:11):

“That’s the same person!” “Yeah, there’s a dog pound in his community!” <laugh> “Do animals count in our community?”

Bethany Lockhart Johnson (26:17):

I love it!

Allison Hintz (26:17):

“Yes, they count!” Uh, and so we went through and quantified and there was really this understanding as you saw these people throughout the story that communities can be of different sizes, but community has impact. And you have responsibility in your community to show up and to lean in and to know that bringing your full, authentic, vulnerable self, you shape people and they shape you. And what communities are people a part of. And it turned into this really interesting discussion about quantity and helped us think more about quantity and community. I think a really important moment for us and for that class was the transition from being people who almost did mathematics to a story, like counted things on a page, um, count acorns on a page in an autumn book, to being mathematicians who thought within the story.

Antony Smith (27:17):

And then two idea investigations that came from that —not at the same time, of course, but with the same group of children—one was they identified an emotion of their own and wrote and drew about that. And also, who helped them address or get out of or acknowledge that emotion. And then the other idea investigation was that all of the children drew or kind of mapped out a community that they were part of. Whether it was their neighborhood or their classroom or their soccer team or whatever it was. And so then those investigations strengthened the connections of those concepts to the lives of those children.

Bethany Lockhart Johnson (28:05):

Well, I, actually wanted to ask you about idea investigations. Because I feel like that was such an important invitation in your book. And the way I understood the idea investigation is you’re really paying attention to what’s coming up in your other reads. Right? And then these are opportunities to extend the thinking, or like you said, to extend a particular aspect: What’s your community? Can we map your community? Or what’s a particular emotion? And it was in such contrast to what I think I have probably done in my classroom more than once, which was like, “Oh, we read this story about seals. So now my story problem is gonna be about seals, right? <laugh> Like in the story, you know, Jojo, the seal had five balls. <laugh> So if Jojo still had five balls and two of them bounced away…” You know, or whatever. Right? But that’s not what an idea investigation is. Right?

Allison Hintz (29:03):

Yeah. I think this is where we also had some stumbles and can totally relate to what you’re saying as previous classroom teachers as well. We have come to a place where we are pretty in favor of a super open-ended idea investigation that takes up the things that have surfaced in the multiple reads and making sure it’s a rich task with many, many ways children can engage with that. There’s many, many, many right answers or ways to engage. Less is more there. So we moved way away from, like, even a worksheet that might have an idea from it to blank paper and math tools and places to get into some productive struggle around some of the complex things that were raised.

Antony Smith (29:59):

A challenge with worksheets is that they put a frame around children’s ideas. So either there are only three lines to write on, or there’s only a small box to draw in. Whereas a blank page really opens up the possibility. Um, and so—is it Ann Jonas who wrote Splash!? sorry, I don’t have it in front of me—the book Splash!, about animals that end up in and out of the pond, including a cat that is not happy about ending up in the pond, an idea investigation after that for very young children was, with the list of the different creatures displayed at the front of the room: On blank paper, hey, draw your own pond and decide how many of which and each type of animal you want in your pond and then write about it. Just on blank paper. And so that allowed some children to draw, like, three giant goldfish. But other children drew 17 frogs and three cats. And, and just, it lets children follow—

Bethany Lockhart Johnson (31:02):

It was theirs, right? It was theirs.

Antony Smith (31:04):

Their idea. <laugh> And that comes partly from, I think, as Allison mentioned, we both were classroom teachers before moving into academia. And I remember giving children worksheets, particularly math worksheets, where they weren’t necessarily bad, but right at the bottom, it says like, explain your strategy. And it gives two lines.

Bethany Lockhart Johnson (31:23):

Right! <laugh>

Antony Smith (31:25):

The only thing a seven-year-old can write there is “I thought.” Or “I solved it.” <laugh> And that’s not where we need to go.

Dan Meyer (31:34):

Yeah. If I could just ask the indulgence of the primary crowd here, like, I’m trying to make sense of all this. And I just wanna like, offer my perspective. My summary statement of what’s going on here. I’m trying to—I love how you both came here—

Bethany Lockhart Johnson (31:45):

<laughs> How ya doin’, Dan? How ya doin’?

Dan Meyer (31:47):

<laughs> I’m, ah, A, I’m loving this a lot. Um, B, I came in here loving how you folks are broadening the work of primary education to kind of find commonalities between these sometimes seemingly disparate kinds of teaching in ELA and math. Love that, I wanna say. But I think you folks are describing, with all these teachers you observed and your own work, is the work of attaching meaning to what students might not realize yet has meaning. Or they might think it only has one kind of meaning. But you, the teacher, with their knowledge, realizes that there are many more dimensions of meaning that can be attached to those thoughts. And I’m hearing that from you folks, when you describe A, what math is and the power of a teacher to name a thing as mathematical. Like, “Oh, you didn’t think math was that, but math is noticing; math is wondering; math is asking questions,” for one. But also this work you’re describing of how, like, first the task has to invite lots of student thoughts and then to say like, “Oh, I see that there’s a similarity to these two.” And to raise those up for a conversation or to ask a question like to extend one person’s, one student’s question a little bit more. But it’s always…I’m just hearing you folks attaching more meaning than the student might have originally thought. I appreciate the conversation. That’s really interesting.

Bethany Lockhart Johnson (33:03):

Well, and now that the book is out, I think it’s gonna keep evolving, right? Now that it’s gonna be in the hands of teachers and librarians and educators and caregivers, it’s exciting to see kind of where it goes next. Which actually brings us to our MTL challenge. Dan Meyer, do you wanna share?

Dan Meyer (33:22):

Math Teacher Lounge, we have a challenge for the folks who listen and we’d love for them to hop into the Facebook group Math Teacher Lounge, or hit us up on Twitter at @MTLShow and just, like, kind of exercise beyond listening, exercise the ideas you folks are talking about, some kind of a challenge that can help us dive deeper into your ideas. So what would you folks suggest for our crowd, for our listeners?

Allison Hintz (33:42):

I would love to invite people to playfully experiment with a favorite story, with a story that’s new to you. I would love to invite listeners to sit with a story maybe on your own, and just ask yourself as a mathematician: What do you notice and wonder in this story? Don’t feel any pressure. Maybe sit with a child or some children and listen to what they notice and wonder. Like, really listen! Don’t ask questions! But hear their questions and place children at the center and consider multiple reads. Consider continuing to pursue their questions. And we have a planning template that might support people in kind of sketching out some ideas if you’re open to playing with that too.

Bethany Lockhart Johnson (34:34):

And we will post—

Dan Meyer (34:36):

That’s awesome.

Bethany Lockhart Johnson (34:36):

—a link for that planning template in our Facebook group and on Twitter as well. So thank you so much for that resource, because I think it’ll definitely help. It could help you, like you said, it could help you kind of organize your thoughts or help you think about this work in a new way. So thank you for that resource and thank you for the amazing resource that is Mathematizing Children’s Literature. I am so excited to continue to engage with you both and with listeners as they dive into this book. If folks want to engage with you more, where can they find you? How can they reach you?

Allison Hintz (35:12):

Well, we’re on Twitter.

Bethany Lockhart Johnson (35:14):

Great.

Dan Meyer (35:15):

What’s your home address? <laugh>

Bethany Lockhart Johnson (35:24):

Wait, let me try that again. <laugh> ‘Cause it does sound like I’m like, <fake ominous voice> “Where can they find you?”

Allison Hintz (35:29):

4-2-5…. <laughs>

Antony Smith (35:32):

At the bookstore!

Bethany Lockhart Johnson (35:34):

Y’all, if folks want to continue this conversation or share these ideas or the math challenge, how can they tag you? How can they, they reach you on the World Wide Web, besides the Math Teacher Lounge Facebook group?

Antony Smith (35:50):

Yeah. Well, we are both on Twitter, and we’ve been trying to promote the hashtag #MathematizingChildrensLiterature. It’s very long, but once you type it once, your phone or computer…

Bethany Lockhart Johnson (36:01):

Easy. Yeah, those click, right? Is that what it is now?

Antony Smith (36:03):

<laugh> The other is that we do for our project, we have an Instagram account that is @MathematizeChildren’sLiterature.

Allison Hintz (36:11):

We care really deeply about hearing from people. You know, we think our ideas are constantly evolving and that there’s such exciting room to grow. And we just felt compelled to share what we were learning now so that together we could learn and build vibrant experiences for young children and teachers and families through stories. So we want to hear from people! We wanna learn about stories that are important in your lives and what children say, and grow these ideas together.

Bethany Lockhart Johnson (36:42):

And credit to Dan, you told me you went and ordered a bunch of the books they have on the suggested read list.

Dan Meyer (36:48):

Oh my gosh.

Bethany Lockhart Johnson (36:49):

You read ’em to your son.

Dan Meyer (36:50):

I got such a side-eye from my significant others around here for what I dropped on Amazon in one night! <laugh> Uh, all these books I didn’t have. Some of them I did. We are not fully illiterate around here! We do love the written word at the Meyer household! But there were a bunch that that I grabbed. I’m morseling them out day by day.

Bethany Lockhart Johnson (37:09):

Wait, at bedtime I read my one-year-old One Is a Snail, Ten Is a Crab. <laugh> And let me tell you, he had vigorous pointing and “Da? Da da da da?”

Allison Hintz (37:22):

<laugh> Aww, da da!

Bethany Lockhart Johnson (37:22):

So hey, we’re on the road. <laugh> <music> Deeply grateful, not only for your work and your beautiful book and your work, but also for the invitation to dive into the world of children’s literature in a way that many of us have not before. And it’s fun! Thank you, Tony. And thank you, Allison. And thanks for hanging out in the lounge.

Allison Hintz (37:48):

Thanks for having the lounge!

Antony Smith (37:49):

It’s been fun!

Allison Hintz (37:52):

Thank you both.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Allison Hintz says about math

“We started asking ourselves, “what would happen if we considered any story a chance to engage as mathematical sensemakers”.”

– Allison Hintz

Author and Associate Professor, University of Washington Bothell

Meet the guest

Allison B. Hintz: Dr. Hintz’s research and teaching are in the area of mathematics education. Her focus on mathematics came about during her years as a fifth grade teacher – it was alongside her students that she developed her own positive identity as a mathematician! Today she studies teaching and learning, specifically facilitating engaging discussion. Her research and teaching happen in partnership with educators and children in formal and informal settings and focuses on beliefs and practices that support all children in lively mathematics learning. She is a co-author, with Elham Kazemi, of Intentional Talk: How to Structure and Lead Productive Mathematical Discussions.

Twitter: @allisonhintz124

Antony T. Smith: Antony T. Smith is an associate professor of literacy education at the University of Washington, Bothell. He works alongside teachers to create engaging literacy-mathematics learning experiences through exploring and discussing children’s literature. He is committed to the concepts of motivation, engagement, challenge, and creativity in literacy teaching and learning.

 Twitter: @smithant  Instagram: mathematizechildrensliterature

Two people appear in separate circular frames; the woman is smiling and wearing headphones, while the man stands in front of bookshelves, perhaps discussing Mathematizing Children’s Literature.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Amplify Science resources for Richmond Public Schools

Welcome! This site contains supporting resources designed for the Richmond Public Schools adoption of Amplify Science.

Authored by UC Berkeley’s Lawrence Hall of Science, Amplify Science is a comprehensive program that blends literacy-rich activities, hands-on investigations, and engaging digital experiences to empower Richmond students to think, read, write, and argue like 21st-century scientists and engineers.

Click here to visit Richmond Public Schools’ Science Department page.

Welcome!

This site contains supporting resources designed for the Richmond Public Schools adoption of Amplify Science for grades 3–8. Here are some resources to get you started, but make sure to check back for exciting updates!

Program-wide resources

Click the button below to explore the Amplify Science  Program Guide. You can access the full digital Teacher’s Guide from the Program Guide to explore the program.

Onboarding videos

To start using Amplify Science quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to logging in and navigating the digital Teacher’s Guide.

Getting Started: K-5

This section allows you to become familiar with the program and to guide you through initial preparation for implementing Amplify in your classrooms. here you will find look-for-tools, pacing/planning guides, and editable documents to support unpacking the unit lessons.

The following materials lists and videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

NOTE: These materials kits are not specific to the Richmond unit progression. Please reference these Richmond unit progression docs for 3–5 and 6–8 so you’ll know which kits to look for in each grade.

Materials lists

Unpacking videos

Getting Started: 6-8

This section allows you to become familiar with the program and to guide you through initial preparation for implementing Amplify in your classrooms. here you will find look-for-tools, pacing/planning guides, and editable documents to support unpacking the unit lessons.

The following materials lists and videos give you a quick look into our Amplify Science classroom kits. For each grade level, we have a video for the first unit in the scope and sequence, and we show you how to unpack the kits for all the units.

NOTE: These materials kits are not specific to the Richmond unit progression. Please reference these Richmond unit progression docs for 3–5 and 6–8 so you’ll know which kits to look for in each grade.

Materials lists

Unpacking videos

6th grade Integrated

7th grade Integrated/Physical science

Additional units

Getting Started: Admin

Admin resources

Getting Started Checklist

Administrator Reports support

K-5 Frequently-Asked Questions

6-8 Frequently-Asked Questions

Professional learning opportunities

Check back for a list of upcoming sessions!

Frequently asked questions

We get it…pacing your instruction, especially with a new program, can be really challenging. In Amplify Science, students internalize concepts through repeated exposures over multiple days with different modalities. We say students get multiple “at-bats” with each concept. As you move through the lessons, avoid looking for concept mastery each day. Instead, try to move through the lesson according to the timing guidelines, maintaining a quick pace.

In classroom discussion activities in particular, you may be tempted to keep the conversation going to ensure that your students fully master the content in that class period. We recommend, though, if the lesson overview says discuss for 10 minutes, cut it off at 10 minutes.

Every Amplify Science unit includes hands-on investigations. But, just as scientists gather evidence from many types of sources, so do students in Amplify Science. Like scientists, students using Amplify Science also gather evidence from physical models, digital models, texts, videos, photographs, maps, and data sets. Doing so requires using the full range of the practices in multi-dimensional learning. It also offers students different ways of acquiring knowledge and experience, multiple means of expressing their understanding, and a variety of resources through which to engage with the content.

Often, students enjoy hands-on investigations, but don’t sufficiently learn key concepts from those experiences. The Amplify Science investigations are designed for efficiency and effectiveness. For teachers who wish to supplement the lessons with more hands-on activities, optional hands-on “flextension” activities are included in many units. Instructional guidance, student sheets, and other supporting resources for them are included as downloadable PDF files and materials needed are either included in the unit kit or easily sourced.

First, take a breath, and know that you will gradually internalize the program routines and overall flow. Also, remember that your students are experiencing the program for the first time with you. Together, you’ll be peeling the onion one layer at a time.

It can be intimidating to begin the school year with a brand-new curriculum: where do you start? The Richmond Resources Site will help you navigate the different supports and resources we have for new Amplify Science teachers. 

The Program Hub is also a great place to direct your own, independent learning about Amplify Science instruction. Once you log into the platform, click on the directory on the top left side. Click into the Program Hub, then Professional Learning, and Getting Started. This will give you access to prioritized resources that will help you plan for your Amplify Science instruction. Additionally, the Amplify Science Help center (also accessible from the Global Navigation menu) is great for short videos about specific topics like supporting EL students, using Classwork, etc.

The variety of multimodal activities that are included in Amplify Science provides students with the opportunity to dive deeply into understanding science ideas, make science exciting to students, and allow for all students to have the benefit of multiple opportunities to access rich science content. Think about how many times you’ve taught a concept and then discovered your students had minimal recall at the end of the week. The truth is, students need multiple, varied exposures to key concepts.

In the program, we make sure that students have the opportunity to DO, TALK, READ, WRITE, and VISUALIZE every important idea. We think of this as providing students with multiple at bats— each encounter with the idea provides students with additional evidence, and the opportunity to develop deeper understanding. Students have multiple opportunities to construct their understanding of the same idea.

This multimodality may feel repetitive, but it is purposeful and impactful. Sometimes the repetition is for 1) hitting other Science and Engineering Practices, and/or 2) giving students multiple and varied opportunities to express their understanding. Many students can easily parrot back what they read and one may think they know it — but ask them to draw a model, and one might see that their understanding is only so deep.  Ultimately we believe that this approach not only serves a broader range of students but will also result in more retention in the long run.

Looking for help?

Technical or pedagogical support

Amplify provides a unique kind of free support you won’t find from other publishers. Technical and pedagogical support teams are available from 7 a.m. to 7 p.m. ET, Monday through Friday.

For your most urgent questions:

  • Use our live chat within your program
  • Call our toll-free number: (800) 823-1969

For less urgent questions, send us an email!

  • Technical support: help@amplify.com
  • Pedagogical support: edsupport@amplify.comWhat is pedagogical support? We have developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:
    • Guidance for developing lesson plans and intervention plans
    • Information on where to locate standards and other planning materials
    • Recommendations and tips for day-to-day teaching with Amplify programs
    • Support with administering and interpreting assessment data and more

Order exceptions

If you need to arrange for the return or exchange of items, contact help@amplify.com and be sure to identify yourself as a Richmond Public Schools teacher.

Grade 6

Unit 1: Area and Surface Area

Amplify MathDesmos Math 6–A1
Unit 1: Area and Surface AreaUnit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: The TangramUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Exploring the TangramUnit 1
Lesson 2: Letters
Sub-Unit 1 : Area of Special Polygons
Lesson 3: Tilting the PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 4: Compositing and Rearranging to Determine AreaUnit 1
Lesson 2: Letters
Lesson 5: Reasoning to Determine AreaUnit 1
Lesson 2: Letters
Lesson 6: ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 7: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 8: Bases and Heights of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 9: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available)
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 10: Bases and Heights of TrianglesUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 11: Formula for the Area of a TriangleUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 12: From Triangles to TrapezoidsUnit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 13: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons Practice Day 1 (Print available)

Unit 7
Lesson 11: Polygon Maker
Sub-Unit 2: Nets and Surface Area
Lesson 14: What is Surface Area?Unit 1
Lesson 9: Renata’s Stickers
Lesson 15: Nets and Surface Area of Rectangular PrismsUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11:Nothing but Nets(Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 16: Nets and Surface Area of PrismsUnit 1
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Lesson 17: Constructing a RhombicuboctahedronUnit 1
Lesson 13: Take It To Go (Print available)
Lesson 18: Simplifying Expressions for Squares and CubesUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 19: Simplifying Expressions Even More Using ExponentsUnit 1
Lesson 11: Exponent Expressions (Print available)
Lesson 20: Designing a Suspended Tent 

Unit 2: Introducing Ratios

Amplify MathDesmos Math 6–A1
Unit 2: Introducing RatiosUnit 2: Introducing Ratios
Lesson 1: Fermi Problems 
Sub-Unit 1: What are Ratios?
Lesson 2: Introducing Ratios and Ratio LanguageUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Representing Ratios with DiagramsUnit 2
Lesson 1: Pizza Maker
Lesson 2: Ratio Rounds (Print available)
Lesson 3:Rice Ratios (Print available)
Lesson 4: A Recipe for Purple Oobleck 
Lesson 5: Kapa Dyes 
Sub-Unit 2:Equivalent Ratios
Lesson 6: Defining Equivalent RatiosUnit 2
Lesson 3: Rice Ratios (Print available)
Lesson 4: Fruit Lab (Print available)
Lesson 11: Community Life (Print available)
Practice Day 1 (Print available)
Lesson 7: Representing Equivalent Ratios with Tables 
Lesson 8: Reasoning with Multiplication and Division (optional) 
Lesson 9: Common Factors 
Lesson 10: Common Multiples 
Lesson 11: Navigating a Table of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 12: Tables and Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 13: Tempo and Double Number LinesUnit 2
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Sub-Unit 3: Solving Ratio Problems 
Lesson 14: Solving Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 15: Part-Part-Whole RatiosUnit 2
Lesson 12 Mixing Paint, Part 2
Lesson 13: City Planning
Lesson 16: Comparing Ratios 
Lesson 17: More Comparing and Solving 
Lesson 18: Measuring with Different-Sized Units 
Lesson 20: More Fermi Problems 

Unit 3: Rates and Percentages

Amplify MathDesmos Math 6–A1
Unit 3: Rates and PercentagesUnit 2: Introducing Ratios
Unit 3: Unit Rates and percentages
Lesson 1: Choosing Representation for Student CouncilLaunch Lesson
Sub-Unit 1: Rates
Lesson 2: How Much for One?Unit 3
Lesson 4: Model Trains
Lesson 3: Constant Speed  
Lesson 4: Comparing SpeedsUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 5: Interpreting RatesUnit 3
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve
Lesson 6: Welcome to the Robot Factory
Lesson 6: Comparing Rates 
Lesson 7: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Sub-Unit 2: Percentages
Lesson 8: What Are percentages?Unit 3
Lesson 8: Lucky Duckies
Lesson 9: Bicycle Goals
Lesson 9: Determining Percentages 
Lesson 10: Benchmark PercentagesUnit 3
Lesson 7: Lucky Duckies
Lesson 11: Finding This Percent of ThatUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 12: This Percent of What 
Lesson 13: Solving Percentage ProblemsUnit 3
Lesson: 10: What’s Missing (Print available)
Lesson: 11: Cost Breakdown
Lesson: 12: More Bicycle Goals
Lesson: 13: A Country as a Village
Lesson 14: If Our Class Were the World 
Lesson 15: Voting for a School Mascot 

Unit 4: Dividing Fractions

Amplify MathDesmos Math 6–A1
Lesson 1: Seeing Fractions
Sub-Unit 1: Interpreting Division Scenarios
Lesson 3: Relating Multiplication and Division 
Lesson 4: Size of Divisor and Size of QuotientUnit 4
Lesson 1: Cookie Cutter
Sub-Unit 2: Division with Fractions
Lesson 5: How Many GroupsUnit 4
Lesson 3: Flour Planner
Lesson 4: Flower Planters
Lesson 4: Garden Bricks (Print available) 
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap
Lesson 7: Dividing with Common DenominatorsUnit 4
Lesson 6: Fill the Gap
Lesson 8: How Much in Each Group? (Part 1)Unit 4
Lesson 8: Potting Soil
Lesson 9: How Much in Each Group? (Part 2)Unit 4
Lesson 8: Potting Soil
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 11: Using an Algorithm to Divide FractionsUnit 4
Lesson 9: Division Challenges Practice Day
Lesson 13: Fractional LengthsUnit 4
Lesson 12: Puzzling 
Lesson 14: Area with Fractional LengthsUnit 4
Lesson 9: Puzzling Area (Print available)
Lesson 15: Volume of PrismsUnit 4
Lesson 13: Volume Challenges (Print available)
Lesson 16: Fish Tanks Inside of Fish TanksUnit 4
Lesson 10: Swap Meet
Lesson 17: Now, Where Was That Bus?Unit 4
Lesson 10: Capstone

Unit 5: Arithmetic in Base Ten

Amplify MathDesmos Math 6–A1
Lesson 1: Precision and World Records 
Sub-Unit 1: Adding and Subtracting Decimals 
Lesson 2: Speaking of Decimals…Unit 5
Lesson 1: Dishing Out Decimals (Print available)
Lesson 3: Adding and Subtracting DecimalsUnit 5
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 4: X Games Medal ResultsUnit 5
Lesson 2: Decimal Diagrams
Sub-Unit 2: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5
Lesson 6: Multiplying with Areas
Sub-Unit 3: Dividing Decimals
Lesson 9: Exploring Division 
Lesson 10: Using Long DivisionUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 12: Using Related Expressions to Divide with Decimals 
Lesson 13: Dividing Multi-Digit DecimalsUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 14: The So-called World’s Littlest Skyscraper

Unit 6: Expressions and Equations

Amplify MathDesmos Math 6–A1
Unit 6: Expressions and EquationsUnit 6: Expressions and Equations
Lesson 1: Detecting Counterfeit Coins
Sub-Unit 1: Expressions and Equations in One Variable
Lesson 2: Write Expressions Where Letters Stand for Numbers 
Lesson 3: Tape Diagrams and Equations 
Lesson 4: Truth and EquationsUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 5: Staying in BalanceUnit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Staying in Balance with Variables 
Lesson 7: Practice Solving EquationsUnit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 8: A New Way to Interpret a over bUnit 6
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 9: Revisiting Percentages
Sub-Unit 2: Equivalent Expressions
Lesson 10: Equal and Equivalent (Part 1)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 11: Equal and Equivalent (Part 2)Unit 6
Lesson 1: Weight for It
Lesson 2: Five Equations (Print available)
Lesson 3: Hanging Around
Lesson 6: Vari-apples
Lesson 12: The Distributive Property, Part 1Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 13: The Distributive Property, Part 2Unit 6
Lesson 8: Products and Sums
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 14: Meaning of ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 15: Evaluating Expressions with ExponentsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 16: Analyzing Exponential Expressions and EquationsUnit 6
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Sub-Unit 3: Relationships Between Quantities
Lesson 17: Two Related Quantities, Part 1Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 18: Two Related Quantitites, Part 2Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 19: Creating a Class Mobile 

Unit 7: Rational Numbers

Amplify MathDesmos Math 6–A1
Unit 7: Rational Numbers
Unit 1: Area and Surface Area
Unit 7: Positive and Negative Numbers
Lesson 1: How Far? Which Way?
Sub-unit 1: Negative Numbers and Absolute Value
Lesson 2: Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig In
Lesson 2: Digging Deeper
Lesson 3: Points on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 4: Comparing IntegersUnit 7
Lesson 3: Order in the Class (Print available)
Lesson 5: Comparing and Ordering Rational NumbersUnit 7 
Lesson 3: Order in the Class (Print available)
Lesson 6: Using Negative Numbers to Make Sense of Contexts>Unit 7
Lesson 4: Sub-Zero
Lesson 7: Absolute Value of NumbersUnit 7
Lesson 5: Distance on the Number Line
Lesson 8: Comparing Numbers and Distance from ZeroUnit 7
Lesson 5: Distance on the Number Line
Sub-Unit 2: Inequalities
Lesson 9: Writing Inequalities 
Lesson 10: Graphing Inequalities 
Lesson 11: Solutions to One or More InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Lesson 12: Interpreting InequalitiesUnit 7
Lesson 6: Tunnel Travel
Lesson 7: Comparing Weights
Lesson 8: Shira´s Solutions
Sub-Unit 3: The Coordinate Plane
Lesson 13: Extending the Coordinate Plane 
Lesson 14: Points on the Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 15: Interpreting Points on a Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Lesson 16: Distances on a Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 17: Shapes on the Coordinate PlaneUnit 1
Lesson 1: Shapes on a Plane
Lesson 2: Letters
Lesson 5: Exploring Triangles (Print available)
Lesson 6: Triangles and Parallelograms

Unit 7
Lesson 3: Exploring Parallelograms (Print available)
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)
Lesson 18: Lost and Found Puzzles 
Lesson 19: Drawing on the Coordinate PlaneUnit 7
Lesson 11: Polygon Maker
Lesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Amplify MathDesmos Math 6–A1
Unit 8: Data Sets and DistributionsUnit 8: Describing Data
Lesson 1: Plausible Variation or New Species?
Sub-Unit 1: Statistical Questions and Representing Data
Lesson 2: Statistical QuestionsUnit 8
Lesson 1: Screen Time
Lesson 2: Dot Plots
Lesson 3: Interpreting Dot PlotsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 4: USing Dot Plots to Answer Statistical QuestionsUnit 8
Lesson 2: Dot Plots
Lesson 3: Minimum Wage (Print available)
Lesson 4: Lots More Dots
Lesson 5: Interpreting HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 6: Using Histograms to Answer Statistical QuestionsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Lesson 7: Describing Distributions on HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 6: DIY Histograms (Print available)
Sub-Unit 2: Measures of Center
Lesson 8: Mean as a Fair ShareUnit 8
Lesson 7: Snack Time
Lesson 9: Mean as a Balance PointUnit 8
Lesson 7: Snack Time
Lesson 10: MedianUnit 8
Lesson 11: Toy Cars
Lesson 12: In the News
Lesson 11: Comparing Mean and MedianUnit 8
Lesson 12: In the News
Sub-Unit 3: Measures of Variability
Lesson 12: Describing Variability 
Lesson 13: Variability and MAD 
Lesson 14: Variability and IQRUnit 8
Lesson 13: Pumpkin Patch
Lesson 15: Box PlotsUnit 8
Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Comparing MAD and IQR 
Lesson 17: Asian Elephant Populations 

Grade 7

Unit 1: Scale Drawings

Amplify MathDesmos Math 6–A1
Unit 1: Scale DrawingsUnit 1: Scale Drawings
Unit 3: Measuring Circles
Unit 4: Proportional Relationships and Percentages
Lesson 1: Scale-y Shapes 
Sub-Unit 1: Scaled Copies 
Lesson 2: What are Scaled Copies?Unit 1
Lesson 1: Scaling Machines
Lesson 3: Corresponding Parts and Scale FactorsUnit 1
Lesson 2: Scaling Robots 
Unit 3
Lesson 1: Toothpicks
Lesson 4: Making Scaled CopiesUnit 1
Lesson 3: Make It Scale 
Unit 4
Lesson 3: Sticker Sizes
Lesson 5: The Size of the Scale FactorUnit 1
Lesson 4: Tiles
Lesson 6: Scaling and AreaUnit 1
Lesson 5: Tiles Practice Day 1 (Print available)
Sub-Unit 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available)
Lesson 8: Creating Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 9: Scale Drawings and Maps 
Lesson 10: Changing Scale in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1
Lesson 8: Scaling States
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)Practice Day (Print available)
Lesson 13: Build Your Brand 

Unit 2: Introducing Proportional Relationships

Amplify MathDesmos Math 6–A1
Unit 2: Introducing Proportional RelationshipsUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Lesson 1: Making Music 
Sub-Unit 1: Representing Proportional Relationships with Tables and Equations
Lesson 2: Introducing Proportional Relationships with TablesUnit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)

Unit 4
Lesson 3: Sticker Sizes
Lesson 4: Comparing Relationships with TablesUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 5: Proportional Relationships and EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 6: Speed and Equations 
Lesson 7: Two Equations for Each RelationshipUnit 2
Lesson 4: Two and Two (Print available)
Lesson 5: Lesson 7: All Kinds of Equations
Lesson 8: Using Equations to Solve ProblemsUnit 2
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 9: Comparing Relationships with EquationsUnit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available)
Lesson 7: All Kinds of Equations
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Lesson 10: Solving Problems About Proportional RelationshipsUnit 2
Lesson 12: Water Efficiency
Sub-Unit 2: Representing Proportional Relationships with Graphs 
Lesson 11: Introducing Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 12: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 13: Using Graphs to Compare RelationshipsUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 14: Two Graphs for Each RelationshipUnit 2
Lesson 8: Dino Pops
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Lesson 15: Four Ways to Tell One Story (Part 1) 
Lesson 16: Four Ways to Tell One Story (Part 2) 
Lesson 17: Welcoming Committee 

Unit 3: Measuring Circles

Amplify MathDesmos Math 6–A1
Unit 3: Measuring CirclesUnit 3: Measuring Circles
Lesson 1: The Wandering Goat 
Sub-unit 1: Circumference of a Circle 
Lesson 2: Exploring CirclesUnit 3
Lesson 2: Is it a Circle?
Lesson 3: Measuring Around
Lesson 3: How Well Can You Measure? 
Lesson 4: Exploring CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 5: Understanding π 
Lesson 6: Applying CircumferenceUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around
Lesson 7: Circumference and Wheels 
Sub-Unit 2: Area of a Circle
Lesson 8: Exploring the Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 9: Relating Area to CircumferenceUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges
Lesson 9: Circle vs. Square
Practice Day 2 (Print available)
Lesson 10: Applying Area to CirclesUnit 3
Lesson 6:Radius Squares (Print available)
Lesson 11: Distinguishing Circumference and AreaUnit 3
Lesson 7: Why Pi?
Lesson 12: Capturing Space 

Unit 4: Proportional Relationships and Percentages

Amplify MathDesmos Math 6–A1
Unit 4: PercentagesUnit 4: Proportional Relationships and Percentages
Lesson 1: (Re)Presenting the United States 
Lesson 2: Understanding Percentages and Decimals 
Lesson 3: Percent Increase and DecreaseUnit 4Lesson 4: More or Less
Lesson 4: Determining 100%Unit 4Lesson 6: 100% (Print available)
Lesson 5: Determining Percent ChangeUnit 4Lesson 7: Percent Machines
Lesson 6: Percent Increase and Decrease With EquationsUnit 4Lesson 5: All the Equations
Lesson 7: Using Equations to Solve Percent ProblemsUnit 4Lesson 5: All the Equations
Sub-Unit 2: Applying Percentages 
Lesson 8: Tax and TipUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 9: Percent ContextsUnit 4
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems
Lesson 10: Determining the PercentageUnit 4
Lesson 4: More and Less
Lesson 11: Measurement ErrorUnit 4
Lesson 11: Bookcase Builder
Lesson 12: Error IntervalsUnit 4
Lesson 11: Bookcase Builder
Lesson 13: Writing Better Headlines 

Unit 5: Rational Number Arithmetic

Amplify MathDesmos Math 6–A1
Unit 5: Rational Number ArithmeticUnit 5: Rational Number Artithmetics
Lesson 1: Target: Zero 
Sub-Unit 1: Adding and Subtracting Rational Numbers 
Lesson 2: Interpreting Negative Numbers
Lesson 3: Changing TemperaturesUnit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 4: Adding Rational Numbers 
Lesson 5: Money and Debts 
Lesson 6: Representing SubtractionUnit 5
Lesson 5: Number Puzzles
Lesson 7: Subtracting Rational Numbers (Part 1)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 8: Subtracting Rational Numbers (Part 2)Unit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 9: Adding and Subtracting Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available)
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Sub-Unit 2: Multiplying and Dividing Rational Numbers 
Lesson 10: Position, Speed, and TimeUnit 5
Lesson 7: Back in Time
Lesson 11: Multiplying Rational NumbersUnit 5
Lesson 7: Back in Time
Lesson 12: Multiply!Unit 5
Lesson 7: Back in Time
Lesson 13: Dividing Rational NumbersUnit 5
Lesson 7: Speeding Turtles
Lesson 14: Negative Rates 
Sub-Unit 3: Four Operations with Rational Numbers 
Lesson 15: Expressions with Rational NumbersUnit 5
Lesson 9: Expressions (Print available)
Lesson 16: Say It With Decimals 
Lesson 17: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Lesson 18: Solving Equations With Rational Numbers 
Lesson 19: Representing Contexts With Equations 
Lesson 20: Summiting Everest 

Unit 6: Expressions, Equations, and Inequalities

Amplify MathDesmos Math 6–A1
Unit 6: Expressions, Equations, and InequalitiesUnit 2: Introducing Proportional Relationships
Unit 4: Proportional Relationships and Percentages
Unit 6: Expressions, Equations, and Inequalities
Lesson 1: Keeping the Balance 
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 2: Balanced and UnbalancedUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 3: Reasoning About Solving Equations (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 4: Reasoning About Solving Equations (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 5: Dealing with Negative NumbersUnit 6
Lesson 8: Factoring and Expanding (Print available)
Lesson 16: Shira the Sheep
Lesson 6: Two Ways to Solve One EquationUnit 6
Lesson 4: Seeing Struction (Print available)
Lesson 7: Practice Solving EquationsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Sub-Unit 2: Solving Real-World Problems Using Two-Step Equations 
Lesson 8: Reasoning With Tape DiagramsUnit 6
Lesson 2: Smudged Receipts
Lesson 9: Reasoning About Equations and Tape Diagrams (Part 1)Unit 6
Lesson 2: Smudged Receipts
Lesson 10: Reasoning About Equations and Tape Diagrams (Part 2)Unit 6
Lesson 2: Smudged Receipts
Lesson 11: Using Equations to Solve ProblemsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available) 
Lesson 12: Solving Percent Problems in New WaysUnit 6
Lesson 4: Seeing Structure (Print available)

Unit 4
Lesson 7: Percent MachinesPractice Day 1 (Print available)
Practice Day 2 (Print available)
Sub-Unit 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6
Lesson 1: Toothpicks and Tiles
Lesson 14: Solving InequalitiesUnit 6
Lesson 5: Balancing Moves
Lesson 6: Balancing Equations
Lesson 13: I Saw the Signs
Lesson 15: Finding Solutions to Inequalities in ContextUnit 6
Lesson 13: I Saw the Signs
Practice Day 1 (Print available)
Lesson 16: Efficiently Solving InequalitiesUnit 6
Lesson 10: Collect the Squares
Lesson 17: Interpreting InequalitiesUnit 6
Lesson 13: I Saw the Signs
Lesson 14: Unbalanced Hangers
Lesson 15: Budgeting (Print available)
Lesson 18: Modeling With Inequalities 
Sub-Unit 4: Equivalent Expressions 
Lesson 19: Subtraction in Equivalent Expressions 

Unit 7: Angles, Triangles, and Prisms

Amplify MathDesmos Math 6–A1
Unit 7: Angles, Triangles, and PrismsUnit 7: Angles, Triangles, and Prisms
Lesson 1: Shaping Up 
Sub-Unit 1: Angle Relationships 
Lesson 2: Relationships of AnglesUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 3: Supplementary and Complementary Angles (Part 1) 
Lesson 4: Supplementary and Complementary Angles (Part 2) 
Lesson 5: Vertical AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 6: Using Equations to Solve for Unknown AnglesUnit 7
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 7: Like Clockwork 
Sub-Unit 2: Drawing Polygons with Given Conditions 
Lesson 8: Building Polygons (Part 1)Unit 7
Lesson 6: Is It Enough?
Lesson 9: Building Polygons (Part 2)Unit 7
Lesson 6: Is It Enough?
Lesson 10: Triangles with Three Common MeasuresUnit 7
Lesson 13: Popcorn Possibilities
Lesson 11: Drawing Triangles (Part 1)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Lesson 12: Drawing Triangles (Part 2)Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)
Sub-Unit 3: Solid Geometry
Lesson 13: Slicing SolidsUnit 7
Lesson 9: Slicing Solids
Lesson 14: Volume of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 15: Decomposing Bases for AreasUnit 7
Lesson 11: More Complicated Prisms
Lesson 16: Surface Area of Right PrismsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies (Print available)
Lesson 17: Distinguishing Volume and Surface Area
Lesson 18: Applying Volume and Surface AreaUnit 7
Lesson 13: Popcorn Possibilities

Unit 8: Probability and Sampling

Amplify MathDesmos Math 6–A1
Unit 8: Probability and SamplingUnit 8: Probability and Sampling
Lesson 1: The Invention of Fairness 
Lesson 2: Chance Experiments 
Lesson 3: What are Probabilities?Unit 8
Lesson 1: How Likely? (Print available)
Lesson 2: Prob-bear-bilities [Free lesson
Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 5: Code Breaking (Part 1)
Lesson 6: Code Breaking (Part 2)
Sub-Unit 2: Probabilities of Multi-Step Events
Lesson 7: Keeping Track of All Possible OutcomesUnit 8
Lesson 4: Spin Class
Lesson 5: Is it Fair?
Lesson 6: Fair Games
Lesson 8: Experiments With Multi-Step Events  
Lesson 9: Simulating Multi-Step Events 
Lesson 10: Designing Simulations 
Sub-Unit 3:Sampling
Lesson 11: Comparing Two PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Larger PopulationsUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 13: What Makes a Good Sample?Unit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 14: Sampling in a Fair WayUnit 8
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 15: Estimating Population Measures of CenterUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 16: Estimating Population ProportionsUnit 8
Lesson 9: Car, Bike, or Train?
Lesson 10: Crab Island
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 17: Presentation of Findings 

Grade 8

Unit 1: Rigid Transformations and Congruence

Amplify MathDesmos Math 6–A1
Unit 1: Rigid Transformations and CongruenceUnit 1: Rigid Transformations and Congruence
Unit 3: Proportional and Linear Relationships
Lesson 1: Tessellations 
Sub-Unit 1: Rigid Transformations 
Lesson 2: Moving in the PlaneUnit 1
Lesson 1: Transformers
Lesson 3: Symmetry and Reflection 
Lesson 4: Grid MovesUnit 1
Lesson 3: Transformation Golf
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated

Unit 3
Lesson 6: Translations
Lesson 5: Making the MovesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Coordinate Moves (Part 1)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 7: Coordinate Moves (Part 2)Unit 1
Lesson 4: Moving Day (Print available)
Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1
Lesson 5: Getting Coordinated
Lesson 6: Connecting the Dots
Sub-Unit 2: Rigid Transformations and Congruence 
Lesson 9: No Bending or StretchingUnit 1
Lesson 7: No Bending, No Stretching
Lesson 10: What is the Same?Unit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Lesson 11: Congruent PolygonsUnit 1
Lesson 7: Are They the Same?
Lesson 9: Are They Congruent?
Sub-Unit 4: Angles in a Triangle 
Lesson 13: Line Moves 
Lesson 14: Rotation Patterns 
Lesson 15: Alternate Interior AnglesUnit 1 
Lesson 11: Tearing It Up (Print available)
Lesson 16: Adding the Angles in a TriangleUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 17: Parallel Lines and the Angles in a TriangleUnit 1 
Lesson 10: Transforming Angles
Lesson 18: Creating a Border Pattern Using Transformations 

Unit 2: Dilations, Similarity, and Introducing Slope

Amplify MathDesmos Math 6–A1
Unit 2: Dilations and SimilarityUnit 2: Dilations and Similarity
Lesson 1: Projecting and Scaling 
Sub-Unit 1: Dilations
Lesson 2: Circular GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 3: Dilations on a Plane 
Lesson 4: Dilations on a Square GridUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 3: Match My Dilation
Lesson 4: Dilations on a Plane
Lesson 5: Dilations with CoordinatesUnit 2
Lesson 4: Dilations on a Plane
Sub-Unit 2: Similiarity
Lesson 6: SimilarityUnit 2
Lesson 5: Transformations Golf with Dilations
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 7: Similar PolygonsUnit 2
Lesson 6: Social Scavenger Hunt (Print available)
Lesson 8: Similar TrianglesUnit 2
Lesson 7: Are Angles Enough?
Lesson 8: Shadows
Lesson 9: Ratios of Side Lengths in Similar Triangles
Lesson 12: Optical Illusions 

Unit 3: Linear Relationships

Amplify MathDesmos Math 6–A1
Unit 3: Proportional and Linear RelationshipsUnit 3: Proportional and Linear Relationships
Unit 4: Linear Equations and Linear Systems
Unit 5: Functions and Volume
Lesson 1: Visual Patterns 
Sub-Unit 1: Proportional Relationships 
Lesson 2: Proportional Relationships 
Lesson 3: Understanding Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphs of Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 2: Water Tank 

Unit 5
Lesson 4: Window Frames
Lesson 5: Representing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials 
Unit 5
Lesson 4: Window Frames
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 6: Comparing Proportional RelationshipsUnit 3
Lesson 3: Posters
Sub-Unit 2: Linear Relationships
Lesson 7: Introduction to Linear RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Stacking Cups

Unit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Relationships 
Lesson 9: More Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 10: Representations of Linear RelationshipsUnit 3
Lesson 5: Flags
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available)
Lesson 8: Charge! (Print available)
Lesson 11: Writing Equations for Lines Using Two Points 
Lesson 12: Translating mx + bUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 13: Slopes Don’t Have to be PositiveUnit 3
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 14: Writing Equations for Lines Using Two Points, Revisited 
Lesson 11: Equations of All Kinds of LinesUnit 3
Lesson 3: Posters
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Sub-Unit 3: Linear Equations 
Lesson 16: Solutions to Linear EquationsUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 10: Solutions

 Unit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 17: More Solutions to Linear EquationsUnit 3 
Lesson 4: Stacking Cups
Lesson 5: Flags
Lesson 6: Translations
Lesson 7: Water Cooler
Lesson 10: Solutions
Lesson 18: Coordinating Linear Relationships 
Lesson 19: Rogue Planes 

Unit 4: Linear Equations and Linear Systems

Amplify MathDesmos Math 6–A1
Unit 4: Linear Equations and Systems of Linear EquationsUnit 4: Linear Equations and Systems of Linear Equations
Lesson 1: Number PuzzlesUnit 4
Lesson 1: Number machines
Sub-Unit 1: Linear Equations in One Variable 
Lesson 2: Writing Expressions and Equations
Lesson 3: Keeping the BalanceUnit 4
Lesson 2: Keep It Balanced
Lesson 4: Balanced Moves (Part 1)Unit 4
Lesson 3: Balanced Moves
Lesson 5: Balanced Moves (Part 2)Unit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 6: Solving Any Linear EquationsUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available)
Lesson 6: Strategic Solving (Print available)
Lesson 7: How Many Solutions? (Part 1)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 8: How Many Solutions? (Part 2)Unit 4
Lesson 5: Equation Roundtable (Print available)
Lesson 9: Strategic Solving 
Lesson 10: When Are They the SameUnit 4
Lesson 8: When Are They the Same?
Sub-Unit 2: Systems of Linear Equations
Lesson 11: On or Off the Line?Unit 4
Lesson 9: On or Off the Line?
Lesson 12: On Both of the LinesUnit 4
Lesson 10: On Both Lines
Lesson 13: Systems of Linear EquationsUnit 4
Lesson 11: Make Them Balance
Lesson 14: Solving Systems of Equations (Part 1)Unit 4
Lesson 14: All, Some, or None? Part 2
Lesson 15: Solving Systems of Equations (Part 2)Unit 4
Lesson 12: All, Some, or None? Part 2
Lesson 16: Writing Systems of Linear EquationsUnit 4
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 17: Pay Gaps 

Unit 5: Functions and Volume

Amplify MathDesmos Math 6–A1
Unit 5: Functions and VolumeUnit 2: Dilations, Similarity, and Introducing Slope
Unit 3:
Proportional and Linear Relationships
Unit 5:
Functions and Volume
Lesson 1: Pick a Pitch 
Sub-Unit 1: Representing and Interpreting Functions 
Lesson 2: Introduction to FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 3: Equations of FunctionsUnit 3
Lesson 4: Window Frames
Lesson 4: Graphs of Functions (Part 1)Unit 5
Lesson 3: Function or Not?
Lesson 5: Graphs of Functions (Part 2)Unit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Functions (Part 3)Unit 5
Lesson 6: Graphing Stories
Lesson 7: Connecting Representations of FunctionsUnit 5
Lesson 7: Feel the Burn (Print available)Lesson 8: Charge! (Print available)
Lesson 8: Comparing Linear Functions 
Lesson 9: Modeling with Linear Functions 
Lesson 10: Piecewise Linear FunctionsUnit 5
Lesson 9: Piecing It Together
Sub-Unit 2: Cylinder, Cones, and Spheres 
Lesson 11: Filling Containers 
Lesson 12: The Volume of a CylinderUnit 5
Lesson 10: Volume LabLesson 11: Cylinders
Lesson 12: Scaling Cylinders
Lesson 13: Determining Dimensions of CylindersUnit 5
Lesson 14: Missing Dimensions (Print available)
Lesson 14: The Volume of a ConeUnit 5
Lesson 10: Volume LabLesson 13: Cones
Lesson 15: Determining Dimensions of ConesUnit 5
Lesson 12: Scaling Cylinders
Lesson 13: Cones
Lesson 14: Missing Dimensions (Print available)
Lesson 16: Estimating a Hemisphere 
Lesson 17: The Volume of a SphereUnit 5
Lesson 15: Spheres
Lesson 18: Cylinders, Cones and SpheresUnit 5
Lesson 15: Practice Day 2 (Print available)
Lesson 19: Scaling One Dimension 
Lesson 20: Scaling Two Dimensions 
Lesson 21: Packing Spheres 

Unit 6: Exponents and Scientific Notation

Amplify MathDesmos Math 6–A1
Unit 6: Exponents and Scientific NotationUnit 7: Exponents and Scienctific Notation
Lesson 1: Create a Sierpinski Triangle 
Sub-Unit 1: Exponent Rules 
Lesson 2: Reviewing ExponentsUnit 7
 Lesson 1: Circles
Lesson 2: Combining Exponents
Lesson 3: Multiplying PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 4: Dividing PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 4: Rewriting Powers
Lesson 5: Negative ExponentsUnit 7 
Lesson 5: Zero and Negative Exponents
Lesson 6: Powers of PowersUnit 7 
Lesson 3: Power Pairs (Print available)
Lesson 7: Different Bases, Same Exponent 
Lesson 8: Practice with Rational BasesUnit 7
Practice Day 1 (Print available)
Sub-Unit 2: Scientific Notation 
Lesson 9: Representing Large Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 10: Representing Small Numbers on the Number LineUnit 7
Lesson 8: Point Zapper
Lesson 11: Applications of Arthithmetic with Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 12: Definition of Scientific NotationUnit 7
Lesson 10: Solar System
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 13: Multiplying, Dividing, and Estimating with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 13: Star Power
Lesson 14: Adding and Subtracting with Scientific NotationUnit 7
Lesson 11: Balance the Scale
Lesson 12: City Lights
Lesson 13: Star Power
Lesson 15: Is a Smartphone Smart Enough to Go to the Moon? 

Unit 7: Irrationals and the Pythagorean Theorem

Practice Day 2 (Print available)

Amplify MathDesmos Math 6–A1
Unit 7: Irrationals and the Pythagorean TheoremUnit 8: The Pythagorean Theorem and Irrational Numbers
Lesson 1: Sliced Bread
Sub-Unit 1: Rational and Irrational Numbers
Lesson 2: The Square RootUnit 8
Lesson 2: From Squares to Roots
Lesson 3: The Ares of Squares and Their Side LengthsUnit 8
Lesson 1: Tilted Squares
Lesson 3: Between Squares
Lesson 4: Estimating Square RootsUnit 8
Lesson 3: Between Squares
Lesson 4: Root Down
Lesson 5: The Cube RootUnit 8
Lesson 5: Filling Cubes
Lesson 6: Rational and Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 7: Decimal Representations of Rational NumbersUnit 8
Lesson 12: Fractions to Decimals
Lesson 8: Converting Repeating Decimals Into FractionsUnit 8
Lesson 13: Decimals to Fractions
Sub-Unit 2: The Pythagorean Theorem
Lesson 9: Observing the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 10: Proving the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 11: Determining Unknown Side LengthsUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 12: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make it Right
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 13: Distances on the Coordinate Plane (Part 1)Unit 8
Lesson 11: Pond Hopper
Lesson 14: Distances on the Coordinate Plane (Part 2)Unit 8
Lesson 11: Pond Hopper
Lesson 15: Applications of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Lesson 16: Pythagorean Triples

Unit 8: Pythagorean Theorem and Irrational Numbers

Amplify MathDesmos Math 6–A1
Unit 8: Associations in DataUnit 6: Associations in Data
Lesson 1: Creating a Scatter PlotUnit 6
Lesson 1: Click Battle
Sub-Unit 1: Associations in Data
Lesson 2: Interpreting Points on a Scatter PlotUnit 6
Lesson 3: Robots
Lesson 3: Observing Patterns in a Scatter PlotUnit 6
Lesson 7: Scatter Plot City
Lesson 4: Fitting a Line to DataUnit 6
Lesson 4: Dapper Cats
Lesson 5: Fit Fights
Lesson 5: Using a Linear ModelUnit 6
Lesson 6: Interpreting Slopes
Lesson 6: Interpreting Slope and y-interceptUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Analyzing Bivariate DataUnit 6
Lesson 8: Animal Brains
Lesson 8: Looking for AssociationsUnit 6
Lesson 9: Tasty Fruit
Lesson 9: Using Data Displays to Find AssociationsUnit 6
Lesson 10: Finding Associations
Lesson 11: Federal Budgets

Grade 6

Module 1: Ratios and Rates

Module 2: Fractions, Decimals, and Percents

Lesson 1: Understand PercentsUnit 3Lesson 8: Lucky Duckies [Free lesson]Lesson 9: Bicycle Goals
Lesson 2: Percents Greater Than 100% and Less Than 1% 
Lesson 3: Relate Fractions, Decimals, and PercentsUnit 5Lesson 2: Decimal Diagrams [Free lesson]Lesson 13: Grocery Prices (Print available)
Lesson 4: Find the Percent of a NumberUnit 3Lesson 10: What’s Missing? (Print available)Lesson 11: Cost Breakdown
Lesson 5: Estimate the Percent of a Number 
Lesson 6: Find the WholeUnit 3Lesson 10: What’s Missing? (Print available)

Module 3: Compute with Multi-Digit Numbers and Fractions

Module 4: Integers, Rational Numbers, and the Coordinate Plane

Lesson 1: Represent IntegersUnit 7Lesson 1: Can You Dig It [Free lesson]Lesson 4: Sub-Zero
Lesson 2: Opposites and Absolute ValueUnit 7Lesson 5: Distance on the Number Line
Lesson 3: Compare and Order IntegersUnit 7Lesson 2: Digging DeeperLesson 3: Order in the Class (Print available) [Free lesson]
Lesson 4: Rational NumbersUnit 7Lesson 2: Digging Deeper
Lesson 5: The Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 6: Graph Reflections of Points
Lesson 7: Absolute Value and DistanceUnit 7Lesson 5: Distance on the Number Line

Module 5: Numerical and Algebraic Expressions

Module 6: Relationships in Geometry

Module 7: Relationships Between Two Variables

Module 8: Area

Module 9: Volume and Surface Area

Module 10: Statistical Measures and Displays

Grade 7

Module 1: Proportional Relationships

Module 2: Solve Percent Problems

Module 3: Operations with Integers

Module 4: Operations with Rational Numbers

Module 5: Simplify Algebraic Expressions

Module 6: Write and Solve Equations

Lesson 1: Write and Solve One-Step EquationsUnit 6Lesson 3: EquationsLesson 4: Seeing Structure (Print available)Lesson 14: Unbalanced HangersLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 2: Solve Two-Step Equations: px + q = r
Lesson 3: Write and Solve Two-Step Equations: px + q = r
Lesson 4: Solve Two-Step Equations: p(x + q) = r
Lesson 5: Write and Solve Two-Step Equations: p(x + q) = r
Unit 6Lesson 4: Seeing Structure (Print available)Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)

Module 7: Write and Solve Inequalities

Lesson 1: Solve One-Step Addition and Subtraction Inequalities
Lesson 2: Write and Solve One-Step Addition and Subtraction Inequalities
Lesson 3: Solve One-Step Multiplication and Division Inequalities
Lesson 4: Solve One-Step Multiplication and Division Inequalities with Negative Coefficients
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the SheepLesson 17: Write Them and Solve Them (Print available)
Lesson 5: Write and Solve One-Step Multiplication and Division InequalitiesUnit 6Lesson 15: Budgeting (Print available)
Lesson 6: Write and Solve Two-Step InequalitiesUnit 6Lesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)

Module 8: Geometric Figures

Module 9: Measure Figures

Module 10: Probability

Lesson 1: Find Likelihoods
Lesson 2: Relative Frequency of Simple Events
Lesson 3: Theoretical Probability of Events
Unit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 4: Compare Probabilities of Simple EventsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?
Lesson 5: Probability of Compound EventsUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It
Lesson 6: Simulate Chance EventsUnit 8Lesson 8: Simulate ItPractice Day 1 (Print available)

Module 11: Sampling and Statistics

Grade 8

Module 1: Exponents and Scientific Notation

Module 2: Real Numbers

Lesson 1: Terminating and Repeating DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 3: Real NumbersUnit 8
Lesson 14: Hit the Target
Lesson 4: Estimate Irrational NumbersUnit 8
Lesson 3: Between Squares
Lesson 5: Compare and Order Real NumbersUnit 8
Lesson 14: Hit the Target

Module 3: Solve Equations with Variables on Each Side

Module 4: Linear Relationships and Slope

Module 5: Functions

Module 6: Systems of Linear Equations

Lesson 1: Solve Systems of Equations by GraphingUnit 4 
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper
Lesson 13: All, Some, or None? Part 2
(Print available)Practice Day 2 
Lesson 2: Determine Number of SolutionsUnit 4 
Lesson 13: All, Some, or None? Part 2
Lesson 3: Solve Systems of Equations by Substitution
Lesson 4: Solve Systems of Equations by Elimination
Lesson 5: Write and Solve Systems of EquationsUnit 4 
Lesson 14: Strategic Solving, Part 2 (Print available)

Module 7: Triangles and the Pythagorean Theorem

Lesson 1: Angle Relationships and Parallel LinesUnit 1 Lesson 10: Transforming Angles
Lesson 2: Angle Relationships and TrianglesUnit 1 Lesson 10: Transforming Angles Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Lesson 3: The Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove It
Lesson 4: Converse of the Pythagorean TheoremUnit 8Lesson 9: Make It Right
Lesson 5: Distance on the Coordinate PlaneUnit 8Lesson 11: Pond HopperPractice day 2 (Print available)

Module 8: Transformations

Module 9: Congruence and Similarity

Lesson 1: Congruence and Transformations
Lesson 2: Congruence and Corresponding Parts
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?
Lesson 3: Similarity and TransformationsUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 4: Similarity and Corresponding PartsUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 5: Indirect MeasurementUnit 2Lesson 8: Shadows

Module 10: Volume

Lesson 1: Volume of CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 2: Volume of ConesUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 3: Volume of SpheresUnit 5Lesson 15: Spheres
Lesson 4: Finding Missing DimensionsUnit 5Lesson 14: Missing Dimensions (Print available)
Lesson 5: Volume of Composite SolidsUnit 5Lesson 15: Spheres

Module 11: Scatter Plots and Two-Way Tables

Welcome Reviewers, to Amplify Desmos Math!

Amplify Desmos Math thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Scroll to learn more about the program and explore sample materials.

About the program

We believe in math that motivates. Our structured approach to problem-based learning builds on students’ curiosity to develop lasting grade-level understandings for all students. 

The program thoughtfully combines conceptual understanding, fluency, and application, motivating students with interesting problems they are eager to solve. Teachers can spend more time where it’s most impactful: creating a collaborative classroom of learners.

A powerful suite of math resources

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A digital interface displays a math screener report on the left and a math problem involving division, alongside a visual representation of students lined up on the right, integrating rich math resources from Amplify Desmos Math.

Screening and progress monitoring

mCLASS® Assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Core instruction

Amplify Desmos Math lessons provide a structured approach to problem-based learning, helping teachers create a collaborative math community with students at its center. Each lesson systematically builds on students’ curiosity to develop lasting grade-level understandings for all students.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

Differentiation and intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to daily instruction. Extensions are also available to stretch students’ understanding.
Boost™ Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback™ adjusts to students’ work, providing item-level adaptivity to further support their learning.

Two pages from a New York math textbook on determining coordinates after a rotation. Includes sections on modeled review, guided practice, and teacher's notes, with diagrams and examples that amplify the learning experience.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how to respond.
  • Clear learning objectives to keep learning on track for each activity and lesson.
  • Daily reinforcement activities to provide direct instruction when needed.

A structured approach to problem-based learning

Problem-based learning asks students to make sense of and think strategically about mathematically interesting problems. This approach allows students’ ideas to take
center stage, so they are active and engaged in their learning process. Teachers are able to hear and respond to student thinking in real time, guiding and differentiating instruction right in the moment.

Moving from “I do, We do, You do” to “You do, We do, I do”
Lessons begin by activating student’s prior knowledge and curiosity, inviting them to explore the math, collaborate, and refine their thinking. By focusing on developing student thinking first, teachers can better connect ideas, guide learning, and synthesize learning objectives.

Lessons that are rigorous and delightful

Every lesson in Amplify Desmos Math is designed to put students at the center of their learning. Utilizing research-based best practices, students engage in meaningful work based on rich problems and real-world experiences.

Two young girls build with colorful blocks at a table while an adult woman observes and assists them in a classroom setting.

Warm-Up

Lessons begin by inviting every student to contribute to the mathematical discussion. Instructional routines are often used to build fluency, set the context, activate prior knowledge, or highlight a strategy that may be helpful in the lesson. 

Rich learning activities

Math knowledge is built through experiences and meaningful interactions. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Teachers serve as a guide, using a Launch, Monitor, Connect framework:

  • Launch: Teachers offer a short introduction to the problem or challenge
  • Monitor: As students work individually, in pairs, or in groups, teachers ask questions and provide support to move student thinking closer to the intended math goal.
  • Connect: Teachers connect student ideas to the Key Takeaway of the activity to help students synthesize and solidify the big ideas.

Synthesis

Teachers ensure that students end the lesson with accurate and enduring understandings of the math goal through synthesis of student ideas, explicit instruction, and reflection.

A short Show What You Know assessment allows students to show what they know about the learning goals of the lesson and reveal what they are still learning.

Differentiation and practice

Lasting understanding requires reinforcement. Every lesson offers Lesson Practice instructional recommendations to Support, Strengthen, and Stretch learning.

Two side-by-side math activities for children: on the left, a caterpillar-themed block challenge, and on the right, a worksheet for finding pairs that sum to 10. These exercises are fantastic ways to amplify children's engagement with math concepts.

Print for every lesson with engaging digital experiences

Whether in print or digital form, engaging interactions enable students and teachers to openly exchange ideas. Each lesson includes student print materials, interactive teacher Presentation Screens, and digital resources for practice and differentiation. Some lessons also use manipulatives or provide options for students to use devices individually or in pairs. Device recommendations for student use are age-appropriate, with more frequent usage in middle and high school.

Demo access

Please login to the digital platform to experience our full program as part of your review. In order to access the digital platform, you’ll need to log into using your unique login credentials below.

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password:
    • Username:
    • Password:
  • View the video for helpful platform navigation tips.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

A teacher sits at a table with two students, using small objects and a workbook to provide individualized instruction during a Boost Math lesson in a classroom with large windows.
A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

In-lesson differentiation

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
Two pages from a math workbook on determining coordinates after a rotation, with diagrams, problem sets, and instructional text, displayed on a yellow and gray background.
A classroom teaching guide displays strategies for discussing pre-image and image in math, goals for a parallelogram lesson, and tips for supporting multilingual learners.

Multilingual/English Learner supports

Supports for multilingual/English learners (ML/ELs) are called out at intentiSupports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.onal points within each lesson. These suggested supports are specific, targeted actions that are beneficial for ML/ELs. They often describe a modification to increase access to the task or provide support with contextual or mathematical language development that can often be helpful to all learners. ML/EL supports may also be attached to Math Language Routines.

Math Language Development

Every lesson in Amplify Desmos Math includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson.
Two girls sit at a table with open books, one making hand gestures while smiling, the other looking at her and giving a thumbs up. Behind them are shelves filled with books, capturing the lively atmosphere of a math classroom.
Digital educational material showing an activity named "Hamster Homes" involving tube length and platform heights for a hamster cage. Includes a diagram with platforms measuring 9 inches.

K-5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples.

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 2: Counting and Comparing Images.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A digital activity screen, crafted in the style of Amplify Desmos Math, shows two paths with different quantities of mushrooms. The user is prompted to choose the path with more mushrooms. A bear is on the left side of the screen.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.

Skills Unit 2 Teacher Guide

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting Within 10.

Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational game screen, inspired by New York math standards, shows a subtraction problem, "4 - 1," with a frog moving along numbered lily pads to reveal the answer "3.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 1: Adding and Subtracting.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An educational activity where users must select the block with the correct number to make a total of 10 using the given block numbers. The UI, inspired by New York math standards, features a caterpillar and two tree stumps to amplify engagement with Desmos Math tools.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Data on Scaled Graphs.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

A page titled "Activity 2" features a table showing counts of rabbits, raccoons, and foxes, an image of animal stickers, and a bar graph representing the number of each animal, designed to amplify your New York math lesson with engaging visual data.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 2: Using Factors and Multiples.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

Interactive educational activity asking users to determine platform heights using a 3-inch tube. The interface, inspired by Desmos math tools, features a dragging function and feedback system with a checkbox and "Try another" option, amplifying the learning experience.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 1, Sub-Unit 3: Volume of Solid Figures.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Centers Resources, Additional Practice, and Math Language Development Resources.

An interactive screen showing an activity about decomposing a figure into prisms, with a touch of Desmos Math integration. The user is asked to drag points to demonstrate the decomposition. Two prism illustrations are displayed, offering a glimpse of New York Math's approach.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

6-A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. For a full program review, please login to the digital platform or request physical samples. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

A laptop displays a math warm-up activity with shapes and a scale, in front of two Amplify Desmos Math teacher edition books for grades 1 and 7.
Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 1: Solving Equations.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity shows foxes on a seesaw balanced with 18-pound weights. A multiple-choice question and text box ask for the weight of a fox in pounds.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 3: Inequalities.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A digital math activity screen shows a character above a number line and a box with the inequality "x > -10" entered. A cursor points to the "Edit my response" button.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from a complete sub-unit on this site: Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A graph plots four robot colors by height and eye distance; on the right, matching colored robots stand side by side, labeled Red, Purple, Blue, and Green.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.

Teacher Edition

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.

Student Edition

Motivate students with mathematics that is both rigorous and delightful. To help you preview the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

Cover of an Amplify Desmos Math Algebra 1 ancillary sampler, featuring students interacting with graphs and mathematical models, including a rocket and a parabola.

Ancillary sampler

Included in the ancillary sampler are examples from the program Assessment Resources, Intervention and Extension Resources, Additional Practice, and Math Language Development Resources.

A math activity screen shows a cartoon snail, purple blocks, and a table comparing blocks and a math equation; a cursor hovers over the "Edit my response" button.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Eureka Math-NEW

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Eureka Math® crosswalk to Amplify Desmos Math free lessons

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathAmplify Classroom
Topic A Representing and Reasoning About Ratios 
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 4: Fruit Lab
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 3
Lesson 6: Soft Serve
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 6: Soft Serve
Lesson 24: Percent and Rates per 100Unit 3
Lesson 9: Lucky Duckies

Module 2: Arithmetic Operations Including Division of Fractions

Topic A Dividing Fractions by Fractions
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 3: Flour Planner
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 6: Fill the Gap
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 6: Fill the Gap
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Module 3: Rational Numbers

Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 4: Order in the Class

Module 4: Expressions and Equations

Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: The Relationship of Addition and SubtractionUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6
Lesson 1: Weight for It
Lesson 25: Finding Solutions to Make Equations TrueUnit 6
Lesson 1: Weight for It
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6
Lesson 1: Weight for It
Topic H Applications of Equations 
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7
Lesson 7: Tunnel Travels

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Topic D Nets and Surface Area 
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1
Lesson 10: Renata’s Stickers

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8
Lesson 3: Minimum Wage
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8
Lesson 5: The Plot Thickens
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8
Lesson 11: Toy Cars
Topic D Summarizing and Describing Distributions 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8
Lesson 5: The Plot Thickens
Lesson 3: Creating a Dot PlotUnit 8
Lesson 3: Minimum Wage

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathAmplify Classroom
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint
 
Unit 4
Lesson 1: Mosaics
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops
Topic B Unit Rate and the Constant of Proportionality 
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 6: Two and Two
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 6: Two and Two
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 7: Will It Fit?

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 4: Draw Your Own
Lesson 10; Integer Puzzles
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 10: Integer Puzzles
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 10: Integer Puzzles

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6
Lesson 10: Collect the Squares
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 10: Collect the Squares
Lesson 10: Angle Problems and Solving EquationsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6
Lesson 16: Shira the Sheep
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3
Lesson 3: Measuring Around
Lesson 17: The Area of a CircleUnit 3
Lesson 9: Area Challenges
Lesson 18: More Problems on Area and CircumferenceUnit 3
Lesson 9: Area Challenges

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4
Lesson 1: Mosaics
Lesson 2: Part of a Whole as a PercentUnit 4
Lesson 1: Mosaics
Lesson 3: Comparing Quantities with PercentUnit 4
Lesson 1: Mosaics
Lesson 4: Percent Increase and DecreaseUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4
Lesson 5: Percent MachinesLesson 12: Posing Percent Problems(coming soon!)
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4
Lesson 12: Posing Percent Problems
(coming soon!)
Topic C Scale Drawings 
Lesson 13: Changing ScalesUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 7: Will It Fit?
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8
Lesson 10: Crab Island

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8
Lesson 10: Crab Island
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8
Lesson 10: Crab Island
Topic D Comparing Populations 
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8
Lesson 10: Crab Island

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7
Lesson 2: Friendly Angles
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7
Lesson 4: Missing Measures
Topic B Constructing Triangles 
Lesson 8: Drawing TrianglesUnit 7
Lesson 5: Can You Build It?
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7
Lesson 5: Can You Build It?
Topic D Problems Involving Area and Surface Area 
Lesson 22: Area Problems with Circular RegionsUnit 3
Lesson 9: Area Challenges

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathAmplify Classroom
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 
Lesson 1: Circles
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 
Lesson 3: Power Pairs
Topic B Magnitude and Scientific Notation 
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 3: Translating LinesUnit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Topic B Sequencing the Basic Rigid Motions 
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1
Lesson 13: Tessellate
Lesson 14: More on the Angles of a TriangleUnit 1 
Lesson 12: Puzzling It Out

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2
Lesson 6: Social Scavenger Hunt
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2
Lesson 6: Social Scavenger Hunt
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 4: Solving a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Lesson 5: Writing and Solving Linear EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 6: Solutions of a Linear EquationUnit 4
Lesson 5: Equation Roundtable
Topic B Linear Equations in Two Variables and Their GraphsUnit 3
Lesson 4: Flags
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3
Lesson 1: Turtle Time TrialsLesson 4: Flags
Lesson 11: Constant RateUnit 3
Lesson 4: Flags
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 
Lesson 4: Flags
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3
Lesson 4: Flags
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3
Lesson 4: Flags
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3
Lesson 4: Flags
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3
Lesson 4: Flags
Lesson 22: Constant Rates RevisitedUnit 3
Lesson 1: Turtle Time Trials
Topic D Systems of Linear Equations and Their Solutions 
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Formal Definition of a FunctionUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 3: Linear Functions and ProportionalityUnit 3
Lesson 1: Turtle Time Trials
Lesson 5: Graphs of Functions and EquationsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 3
Lesson 4: Flags
Lesson 7: Comparing Linear Functions and GraphsUnit 5
Lesson 5: The Tortoise and the Hare
Topic B Volume 
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5
Lesson 11: Cylinders

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5
Lesson 1: Turtle CrossingLesson 5: The Tortoise and the Hare
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 
Lesson 3: Robots
Lesson 8: Informally Fitting a LineUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5
Lesson 5: The Tortoise and the Hare
Topic D Bivariate Categorical Data 
Lesson 14: Association Between Categorical VariablesUnit 6
Lesson 11: Finding Associations

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 2: Square RootsUnit 8
Lesson 4: Root Down
Lesson 4: Simplifying Square RootsUnit 8
Lesson 4: Root Down
Topic C The Pythagorean Theorem 
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck

Algebra 1

Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs

Topic A: Introduction to Functions Studied this Year—Graphing Stories

Lesson 1: Graphs of Piecewise FunctionsPumpkin Prices
Lesson 2: Graphs of Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns

Topic C: Solving Equations and Inequalities

Lesson 10: True and False EquationsSame Position
Lesson 11: Solution Sets for Equations and InequalitiesWorking Backwards
Solving Strategies
Shelley the Snail
Lesson 19: Rearranging FormulasSubway Seats
Various Variables
Lesson 21: Solution Sets to Inequalities with Two VariablesPizza Delivery
Lesson 22 & Lesson 23: Solution Sets to Simultaneous Equations (and Inequalities)Shape It Up
Lizard Lines
Quilts
Seeking Solutions

Module 2: Descriptive Statistics

Topic D: Numerical Data on Two Variables

Lesson 14: Modeling Relationships with a LineCity Slopes
Residual Fruit
Penguin Populations
Lesson 19: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
Behind the Headlines
City Data

Module 3: Linear and Exponential Functions

Topic A: Linear and Exponential Sequences

Lesson 3: Arithmetic and Geometric SequencesSequence Carnival
More Visual Patterns
Lesson 5: The Power of Exponential GrowthCarlos’s Fish

Topic B: Describing Variability and Comparing Distributions

Lesson 4: Summarizing Deviations from the MeanFinding Desmo
Lesson 13: Interpreting the Graph of a FunctionCraft-a-Graph
Lesson 14: Linear and Exponential Models – Comparing Growth RatesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Topic D: Using Functions and Graphs to Solve Problems

Lesson 21: Comparing Linear and Exponential Models AgainPlane, Train, and Automobile
Lesson 21: Comparing Linear and Exponential Models AgainCarlos’s Fish

Module 4: Polynomial and Quadratic Expressions, Equations, and Functions

Topic A: Quadratic Expressions, Equations, Functions, and Their Connection to Rectangles

Lesson 8: Exploring the Symmetry in Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Robot Launch
Lesson 9: Graphing Quadratic Functions from Factored Form, 𝑓(𝑥)=𝑎(𝑥−𝑚)(𝑥−𝑛)Two for One
Parabola Zapper
Shooting Stars
Lesson 10: Interpreting Quadratic Functions from Graphs and TablesStomp Rockets

Topic B: Using Different Forms for Quadratic Functions

Lessons 11–12: Completing the SquareSquare Tactic
Lesson 15: Using the Quadratic FormulaStomp Rockets in Space

Topic C: Function Transformations and Modeling

Lesson 18: Graphing Cubic, Square Root, and Cube Root FunctionsSorting Relationships
Lesson 22: Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different WaysSorting Relationships

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasAmplify Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and SumsTake Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasAmplify Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasAmplify Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volumes of ConesUnit 5
Lesson 13: Cones

Algebra 1

Chapter 1: Solving Linear Equations

Lesson 1.1: Solving Simple EquationsWorking Backwards
Lesson 1.3: Solving Equations with Variables on Both SidesSolving Strategies
Same Position
Lesson 1.5: Rewriting Equations and FormulasSubway Seats
Various Variables

Chapter 2: Solving Linear Inequalities

Lesson 2.4: Solving Multi-Step InequalitiesPizza Delivery

Chapter 3: Graphing Linear Functions

Lesson 3.2: Linear FunctionsShelley the Snail
Lesson 3.5: Graphing Linear Equations in Slope Intercept FormFive Representations

Chapter 4: Writing Linear Functions

Lesson 4.4: Scatter Plots and Lines of FitCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 4.5: Analyzing Lines of FitPenguin Populations
Behind the Headlines
City Data
Residual Fruit
Lesson 4.6: Arithmetic SequencesMore Visual Patterns
Sequence Carnival
Lesson 4.7: Piecewise FunctionsPumpkin Prices

Chapter 5: Solving Systems of Linear Equations

Lesson 5.2: Solving Systems of Linear Equations by SubstitutionShape It Up
Lesson 5.4: Solving Special Systems of Linear EquationsLizard Lines
Lesson 5.7: Systems of Linear InequalitiesQuilts
Seeking Solutions

Chapter 6: Exponential Functions and Sequences

Lesson 6.3: Exponential FunctionsCarlos’s Fish
Lesson 6.6: Geometric SequencesMore Visual Patterns
Sequence Carnival

Chapter 8: Graphing Quadratic Functions

Lesson 8.1: Solving Systems of Linear Equations by SubstitutionCraft-a-Graph
Quadratic Visual Patterns
Lesson 8.4: Solving Special Systems of Linear EquationsOn the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 8.5: Systems of Linear InequalitiesParabola Zapper
Two for One
Shooting Stars
Lesson 8.6: Systems of Linear InequalitiesPlane, Train, and Automobile
Detroit’s Population, Part 1
Detroit’s Population, Part 2
Revisiting Visual Patterns, Part 1
Sorting Relationships

Chapter 9: Solving Quadratic Equations

Lesson 9.4: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 9.5: Solving Quadratic Equations Using the Quadratic FormulaStomp Rockets in Space

Chapter 10: Radical Functions and Equations

Lesson 10.4: Inverse of a FunctionChip the Robot

Chapter 11: Data Analysis and Displays

Lesson 11.1: Measures of Center and VariationFinding Desmo

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Math that motivates your K–5 students

As a K–5 teacher, your day is a constant balance of subjects, personalities, and priorities. With so many different dynamics and responsibilities, math class shouldn’t be another struggle to muscle through!

That’s why we’ve compiled a wealth of resources and activities to help you engage students; meet instructional goals; and encourage fluency, number sense, and discussion in your classroom. 

Three children paint the walls of a room; one holds a paper with the fraction 2/3, while math symbols and a tree appear in the background.
A booklet titled "The Power of Fluency: Cultivating Flexible, Confident Problem-Solvers" with an illustrated cover and an open page showing text and graphics about classroom fluency.

The power of fluency

Teachers work to achieve so many outcomes during their math block. While balancing multiple priorities, it’s important to remember that procedural fluency remains integral to student learning. Access this guide to unpack the power of fluency and find free math fluency practice to use in your next lesson.

10 low-prep, high-impact math activities that get to some serious math

Envision your classroom engaged in a difficult math task—all students are participating, leveraging different scaffolds that you intentionally prepared ahead of time. Engagement is high, and students are both challenged and motivated. Make this a reality in your school with our free activities designed to encourage productive struggle while reaching all learners.

A teacher holds a clipboard while a student points at a chalkboard labeled "Guinea Pig," "Millipede," and "Goldfish" in a classroom setting.
A presentation slide titled "Three Practices to Support Problem-Based Learning" features students and teachers engaged in classroom activities and math instruction.

Three practices to support problem-based learning

As educators, we want all students to develop a rich and deep understanding of the math they experience in our classrooms. A problem-based learning approach supports this by centering problem-solving in ways that build lifelong mathematical proficiency. Read this guide for practical tips on introducing problem-based learning and deeper conceptual understanding into your math classroom.

Best practices from real educators like you

Learn tried and true strategies for leveling up math instruction from Beyond My Years podcast guests like Amplify’s own Dan Meyer, teacher and My Kindergarten Math Workbook author Keri Brown, educator and speaker Mike Flynn, teacher and I Hate Math author Ian Brown, and more!

More free resources for K–5 educators

Two children paint a wall while holding a "2/3" sign; another child on the floor holds a "3 x 3" sign near a bookshelf.

K–5 Insider

Sign up for our monthly email to get new K–5 content and activities directly in your inbox.

sign up 

A printed guide titled "What are math routines, and how can you use them?" for grades K–5, with instructions and example math routine cards displayed.

K–5 instructional routine cards

Find easy-to-implement routines to keep students interacting and engaged with a lesson.

Download

A student and a teacher look at a laptop screen and smile in a classroom with colorful posters on the wall.

Math that motivates: Success stories

See how real teachers and students are unlocking new levels of engagement and comprehension, proving that everyone can be a math person.

LEARN MORE 

Ready to make every student a math person?

Connect with a product expert today.

FAQ for K–5 educators

Procedural fluency is the ability to use procedures flexibly, accurately, and efficiently to solve problems. Procedural fluency goes beyond memorization—students develop fluency when they understand number relationships and can choose from multiple strategies based on the numbers involved.

Students who understand why procedures work feel confident tackling challenging problems. When students can choose strategies that make sense to them, rather than relying on rote memorization, they develop agency and see themselves as capable mathematical thinkers.

Understanding how numbers connect helps students develop flexible thinking and multiple solution strategies. Timed tests often prioritize speed over understanding, which can create math anxiety and discourage the productive struggle that deepens learning.

Teachers can achieve this balance by using a predictable routine: warm-ups for fluency practice, a core problem-solving activity during which students explore multiple strategies, and structured discussion to connect different approaches. This structure ensures both skill-building and mathematical discourse happen daily.

Synthesizing learning means bringing the lesson together by highlighting the key mathematical idea that students have just explored. After students share strategies, the teacher helps them make connections between different approaches and names the big takeaway, often through a brief summary or exit ticket.

The Five Practices for Orchestrating Productive Mathematical Discussions are: 1) Anticipating student strategies before the lesson, 2) monitoring student work during the activity, 3) selecting specific students to share, 4) sequencing presentations in a purposeful order, and 5) connecting different strategies to the mathematical goal.

Productive struggle is when students grapple with challenging problems that require genuine thinking, but that remain accessible with appropriate support. It’s essential for deeper understanding, because it compels students to think critically, test strategies, and build perseverance, moving beyond surface-level memorization.

They can celebrate mistakes as learning opportunities and emphasize that understanding develops through effort and persistence. They can also create a safe classroom environment in which all students feel comfortable sharing their developing ideas and foster structured discussions during which multiple strategies are valued, helping students see that there’s more than one right way to think mathematically.

These are problems accessible to all students (that’s the low floor) but open enough to challenge advanced thinkers (that’s the high ceiling). Tasks like these allow multiple entry points and solution strategies, making them ideal for generating rich classroom discussion in which every student can participate meaningfully.

Such routines build number sense and fluency while making discussions predictable and low stakes. These brief, structured activities (5–10 minutes) activate prior knowledge, help students see number relationships, and give everyone practice explaining their thinking—all without requiring extensive preparation or materials.

They can do so by maintaining meaningful objectives while providing varied supports—ensuring that students understand what’s being asked, offering manipulatives and visual tools, allowing partner discussion before whole-class sharing, asking guiding questions without giving away the answer, and strategically grouping students. The goal is supporting access to challenging work, not making it easier.

Grade 6

Unit 1: Numbers

GO Math!Desmos Math 6–A1
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1
Lesson 12: Budget Vehicles
Lesson 13: Grocery Prices

Unit 2: Number Operations

Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 4.2: Dividing FractionsUnit 4
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day (Print available)
Lesson 4.3: Dividing Mixed NumbersUnit 4
Lesson 8: Potting Soil
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 4.4: Solving Multistep Problems with Fractions and Mixed NumbersUnit 4
Lesson 11: Classroom Comparisons
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Module 5: Operations with Decimals
Lesson 5.1: Dividing Whole NumbersUnit 5
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of Long Division
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5.3: Multiplying DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying With Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 10: Return of Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 5.5: Applying Operations with Rational NumbersUnit 5
Practice Day 1 (Print available)
Lesson 12: Budget Vehicles (Print available)
Lesson 13: Grocery Prices (Print available)

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Rice Ratios (Print available)
Lesson 7:  Mixing Paint, Part 1
Lesson 12: Mixing Paint, Part 2
Lesson 6.2: Rates Unit 2
Lesson 8: World Records (Print available)
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory (Print available)
Lesson 7: More Soft Serve
Lesson 13: A County as a Village
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 13:City Planning
Lesson 14: Lunch Waste (Print available)
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab [Free lesson]
Lesson 6: Product Prices (Print available)
Lesson 9: Disaster Preparation [Free lesson]
Unit 3
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7.2: Solving Problems with Proportions
Lesson 7.3: Converting Within Measurement SystemsUnit 3
Lesson 2: Counting Classrooms
Lesson 7.4: Converting Between Measurement SystemsUnit 3
Lesson 3: Pen Pals
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 8.2: Percents, Fractions, and Decimals.Unit 3
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Lesson 8.3: Solving Percent ProblemsUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village

Unit 4: Equivalent Expressions

Module 9: Generating Equivalent Numerical Expressions
Lesson 9.1: ExponentsUnit 6
Lesson 10: Powers
Lesson 11: Exponent Expressions (Print available)
Lesson 12: Squares and Cubes
Lesson 9.2: Prime Factorization
Lesson 9.3: Order of Operations
Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 6: Vari-apples
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 7: Border Tiles
Lesson 8: Products and Sums [Free lesson]
Lesson 9: Products, Sums, and Differences (Print available)

Unit 5: Equations and Inequalities

Unit 6: Relationships in Geometry

Unit 7: Measurement and Data

Grade 7

Unit 1: The Number System

GO Math!Desmos Math 6–A1
Module 1:  Adding and Subtracting Integers
Lesson 1.1: Adding Integers With the Same Sign
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 9: Expressions (Print available)
Lesson 10: Integer Puzzles [Free lesson]
Lesson 1.4:  Applying Addition and Subtraction of IntegersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.2: Dividing IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 10: Integer Puzzles [Free lesson]
Lesson 2.3: Applying Integer OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Module 3:  Rational Numbers
Lesson 3.1: Rational Numbers and Decimals
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 3.4: Multiplying Rational NumbersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 3.5: Dividing Rational Numbers Unit 5
Lesson 6: Floating in Groups
Lesson 3.6: Applying Rational Number OperationsUnit 5
Lesson 8: Speeding Turtles
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 9: Gallon Challenge
Unit 4
Lesson 2: Peach Cobbler (Print available)
Lesson 3: Sticker Sizes
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4:  Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 8: DinoPops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Unit 4
Lesson 3: Sticker Sizes
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics [Free lesson]
Lesson 4: More and Less
Lesson 5: All the Equations
Lesson 7: Percent Machines [Free lesson]
Lesson 9: Minimum Wage (Print available)
Lesson 13: Decimal Deep Dive (Print available)
Lesson 5.2: Rewriting Percent ExpressionsUnit 4
Lesson 9: Minimum Wage
Lesson 5.3: Applications of PercentUnit 4
Lesson 6: 100% (Print available)
Lesson 8: Tax and Tip
Lesson 9: Minimum Wage (Print available)
Lesson 10: Cost of College (Print available)
Lesson 11: Bookcase Builder
Lesson 12: Posing Percent Problems [Free lesson]

Unit 3: Expressions, Equations, and Inequalities

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and Scale DrawingsUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Unit 7
Lesson 8:  Can You Draw It? (Print available)
Lesson 8.3: Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8.4Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures (Print available) [Free lesson]
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around [Free lesson]
Lesson 9.2: Area of CirclesUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares (Print available)
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 5: Area Strategies
Lesson 8: Area Challenges [Free lesson]
Lesson 9.4: Solving Surface Area ProblemsUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 13: Popcorn Possibilities
Lesson 9.5: Solving Volume ProblemsUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island [Free lesson]
Lesson 11: Headlines
Lesson 12: Flower Power
Lesson 13: Plots and Samples
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 10.2: Making Inferences from a Random Sample
Lesson 10.3: Generating Random Samples
Unit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rate (Print available)
Module 11: Analyzing and Comparing Data
Lesson 11.1: Comparing Data Displayed in Dot PlotsUnit 8
Lesson 14: School Newspaper (Print available)
Lesson 15: Asthma Rates (Print available)
Lesson 11.2: Comparing Data Displayed in Box PlotsUnit 8
Lesson 13: Plots and Samples
Lesson 15: Asthma Rates (Print available)
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Crab Island [Free lesson]
Lesson 15: Asthma Rates (Print available)

Unit 6: Probability

Module 12: Experimental Probability
Lesson 12.1: ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 12.2: Experimental Probability of Simple EventsUnit 8
Lesson 3: Mystery Bag
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 12.3: Experimental Probability of Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 12.4: Making Predictions with Experimental ProbabilityUnit 8
Lesson 3: Mystery Bag
Lesson 5: Is It Fair?
Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 13.2: Theoretical Probability of Compound EventsUnit 8
Lesson 6: Fair Games
Lesson 13.3: Making Predictions with Theoretical ProbabilityUnit 8
Lesson 8: Simulate It! (Print available)
Lesson 13.4: Using Technology to Conduct a SimulationUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Desmos Math 6–A1
Module 1: Real Numbers
Lesson 1.1: Rational and Irrational Numbers
Lesson 1.2: Sets of Real Numbers
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 14: Hit the Target
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down [Free lesson]
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles [Free lesson]
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 2.2: Scientific Notation with Positive Powers of 10Unit 7
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.3: Scientific Notation with Negative Powers of 10Unit 7
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scale [Free lesson]
Lesson 12: City Lights
Lesson 13: Star Power 

Unit 2: Proportional and Nonproportional Relationships and Functions

Module 3: Proportional Relationships
Lesson 3.1: Representing Proportional Relationships.Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 3.2: Rate of Change and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Line
Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Unit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3.3: Interpreting the Unit Rate as SlopeUnit 3
Lesson 2: Water Tank
Lesson 3: Posters
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 5: Flags [Free lesson]
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 5: Flags [Free lesson]Lesson 9: Coin Capture
Lesson 5.2: Writing Linear Equations from a Table
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 1: Click Bait
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6.2: Describing FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 9: Piecing It Together

Unit 3: Solving Equations and Systems of Equations

Module 7:  Solving Linear Equations
Lesson 7.1: Equations with the Variable on Both SidesUnit 4
Lesson 2: Keep It Balanced
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 8: When Are They the Same?
Lesson 7.2: Equations with Rational NumbersUnit 4
Lesson 6: Strategic Solving (Print available)
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or None?
Lesson 7.4: Equations with Many Solutions or No SolutionUnit 4
Lesson 7:  All, Some, or None?
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 8.2: Solving Systems by SubstitutionUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Lesson 8.3: Solving Systems by Elimination
Lesson 8.4: Solving Systems by Elimination with Multiplication
Lesson 8.5: Solving Special SystemsUnit 4
Lesson 13: All, Some, or None? Part 2

Unit 4: Transformational Geometry

Unit 5: Measurement Geometry

Module 11: Angle Relationships in Parallel Lines and Triangles
Lesson 11.1: Parallel Lines Cut by a Transversal.Unit 1
Lesson 10: Transforming Angles
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 11: Tearing It Up (Print available)
Lesson 12: Puzzling It Out [Free lesson]
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 3: Match My Dilation
Lesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Are Angles Enough?
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 10: Taco Truck [Free lesson]
Lesson 12.2: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 12.3: Distance Between Two PointsUnit 8
Lesson 11: Pond Hopper
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 14: Missing Dimensions (Print available)
Lesson 13.2: Volume of ConesUnit 5
Lesson 10: Volume Lab
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 13.3: Volume of SpheresUnit 5
Lesson 10: Volume Lab
Lesson 15: Spheres

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot City
Lesson 8: Animal Brains
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 8: Animal Brains
Module 15: Two-Way Tables
Lesson 15.1: Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 15.2: Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets

S1-05: How does coding fit in the science classroom? A conversation with Aryanna Trejo of Code.org

Podcast cover titled "Science Connections" featuring Aryanna Trejo, Season 1, Episode 5. It includes abstract illustrations of a globe and telescope, discussing coding in the science classroom.

In this episode, Eric sits down with Aryanna Trejo, a professional learning specialist of Code.org. Aryanna shares her journey from working as an elementary teacher in New York City and Los Angeles to teaching other educators at Code.org. Eric and Aryanna chat about computer literacy within the science classroom, problem-solving skills, and ways to model productive struggle for students. Aryanna also shares ways to teach coding and computer literacy in schools, no matter the classroom’s technology level. Explore more from Science Connections by visiting our main page.

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Aryanna Trejo (00:00):

I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.”

Eric Cross (00:19):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Aryanna Trejo. Aryanna is a member of the professional learning team at Code.org. Before joining Code.org, Aryanna led computer science professional development for elementary school teachers, and served as an instructional coach for new educators. She also taught fourth and fifth grade in both New York City and in Los Angeles. In this episode, we discuss Aryanna’s journey to Code.org, where she helps educators connect coding to real life, how to use a rubber duck to solve problems, and how coding and computer science principles can be taught to students in areas without access to the internet…or even a computer. I hope you enjoy my conversation with Aryanna Trejo. So I was born and raised here, and I saw that you went to UC San Diego.

Aryanna Trejo (01:11):

I did, I did. I actually just put a deposit down on an apartment in University Heights, ’cause I’m moving back.

Eric Cross (01:16):

You’re coming back?

Aryanna Trejo (01:17):

I’m coming back. Yeah.

Eric Cross (01:19):

So if you need a classroom to visit….

Aryanna Trejo (01:21):

I would love to do more classroom observations!

Eric Cross (01:24):

Are we doing this? Let’s do—we’re making this happen.

Aryanna Trejo (01:26):

We are. Yeah. So I’ll be there. I’m moving there in April. I actually grew up in Orange County too, so I’m like a very diehard SoCal person.

Eric Cross (01:35):

So I feel like I know the answer to, hopefully—Tupac or Biggie? ‘Cause you’re on the East Coast, and you’re on the West Coast.

Aryanna Trejo (01:40):

Yeah. I like Tupac, but I have more Biggie songs committed to memory. Which is not a lot. I have “Juicy” and “Hypnotized” memorized.

Eric Cross (01:53):

All right. So you’re just memorizing, and you have the Biggie songs memorized, but not the Tupac ones.

Aryanna Trejo (01:58):

No, but I do love Tupac songs. You know, it’s like, Biggie has the flow, but Tupac has the lyrics. Nobody’s—they both have something really amazing about them.

Eric Cross (02:06):

You know, I can respect that you broke it down into both of their strengths.

Aryanna Trejo (02:11):

Thanks for buttering me up before this interview. And not….

Eric Cross (02:15):

<laugh> Oh, we already started.

Aryanna Trejo (02:16):

Huh? We already started?

Eric Cross (02:17):

We’re already started. Yeah. We’re already into this.

Aryanna Trejo (02:19):

We’re into it.

Eric Cross (02:21):

You were in the classroom, fourth and fifth grade, and you were doing TFA.

Aryanna Trejo (02:26):

I did. I did Teach For America. I was 2012, New York City Corps. Right after graduation. ‘Cause I graduated UC San Diego in 2012. So graduation was on June 17th, and I touched down at JFK on June 19th.

Eric Cross (02:40):

Even though I wasn’t in TFA, I know a lot of the fellows that are in it. And there’s just some phenomenal teachers in there. How long were you doing elementary school when you were teaching?

Aryanna Trejo (02:49):

Yeah, I taught for—well, I did, three years of teaching fourth grade. Then there happened to be an instructional coach opening in my fourth year. I took that, did some instructional coaching within the same network, and then I moved back to LA and I taught fifth grade for a year.

Eric Cross (03:11):

  1. And what was it like now? Did you go to Code.org right after the classroom?

Aryanna Trejo (03:17):

No, I didn’t. No. I transitioned after teaching fifth grade for a year in downtown Los Angeles, in the Pico-Union neighborhood. I ended up getting this email out of the blue from someone who had actually found me through the Teach for America job site. ‘Cause I was hitting the pavement; I was really looking to transition out of the classroom. And she invited me to interview with this company called 9 Dots. And they taught computer science to kids K–6 throughout Los Angeles and Compton. And I was like, “Sure, no problem. Let’s do it.” So I interviewed, I got the job, and yeah, that’s how I transitioned to 9 Dots. And then after almost four years there, I transitioned to Code.org, with the same person. Actually, she moved over to Code.org first, and then she helped me get this job.

Eric Cross (04:07):

Oh, that’s happened a lot—like, that relationship kinda carries over.

Aryanna Trejo (04:11):

Yeah. We’re meant to be coworkers.

Eric Cross (04:13):

Yeah. Are you still? Is she still there? Are you both still together?

Aryanna Trejo (04:17):

Yeah, we’re on the same team and it’s nice. I saw her last night for Happy Hour, with another coworker who’s in LA. So we’re tight. And she’s a wonderful, wonderful mentor to me.

Eric Cross (04:28):

That’s great. Did you have computer-science background, when you were doing elementary school teaching? Did you have—

Aryanna Trejo (04:34):

No. <laugh> Not at all. When I was teaching in New York City, I had like four desktop computers in my classroom, and we rarely used them. Which was such a shame. And then when I moved to Los Angeles and taught fifth grade there, we were a one-to-one school, and the joys of that are just amazing. It was just really wonderful to, you know, get the students used to typing on the computer, using different software to submit their assignments. Getting creative—as creative as you can get—with Google Slides. You know, to show off what they know. And stuff like that. That’s all I had, though. And you know, when I transitioned to 9 Dots I was like, “Sure, why not? Let’s give a shot.” And I learned a lot. It was really interesting, yeah.

Eric Cross (05:26):

And so now at Code.org you are…well, so my journey with Code.org, I’ve been in the classroom for eight years. Still in the classroom as of…an hour ago, I was there. <Laugh> And I use Code.org, and I feel like I’ve checked it periodically, and I feel like it’s evolved over the gaps. And I’ve seen it. It’s become more robust in the things that they offer, over the years I’ve been an educator. Just to kind of…could you give a thumbnail sketch? Like, what is Code.org? Who’s it for? Who’s the target audience? What resources are there?

Aryanna Trejo (06:00):

Yeah. So it’s for everyone. It is a nonprofit that provides curriculum and training and a platform for teachers and students. We provide curriculum for K through 12. It’s completely free. And it comes with lesson plans, slideshows, all that. We focus specifically on underrepresented groups. So we have targeted measures for Black students, for Native American students, for students who identify as female. That’s a huge part of our mission. But we’re really working to expand access to computer science to as many students as we can.

Eric Cross (06:41):

One of the things I’m hearing in your story is you were teaching in Compton; you were in Bronx, New York. One of the reasons why I got into the classroom is because of educators, and the impact they made on me in exposing me to science and technologies I’d never had access to. And that intentionality, that you’re going about it…are there…not just the code, but how you bring that across to different groups…are there strategies, or are there ways to connect this idea of coding to diverse groups and diverse audiences? Or is it kind of, the curriculum applies for everyone? ‘Cause in science, when I’m teaching, I’m always trying to make what I’m doing relevant to the backgrounds of my students.

Aryanna Trejo (07:28):

Sure.

Eric Cross (07:28):

So I’m teaching biology, and I’m trying to make this kind of connection. Sometimes it’s more organic; sometimes it feels kind of forced. Because it’s just not always a nice fit. But it sounds like Code.org is really about inclusion. And in the numbers that I’ve seen for representation, in especially computer science software engineers, the groups that you’re focusing on are not necessarily represented in the professional workforce. At least disproportionately.

Aryanna Trejo (07:54):

Yeah, absolutely. Yeah, that’s correct.

Eric Cross (07:57):

And so how do you go about being intentional about reaching groups that we don’t see in, you know, the Silicon Valley software engineers? How do you start that? Like, at a young age, do you look for specific schools in specific areas to say, “We are going to bring this to the school. We’re going out to these populations of the cities”? Because we’re just not seeing…you know, on the map, we’re not seeing anybody really doing anything with coding here. Or we’re not seeing the numbers come out of these areas, out of these cities, of students who are going into STEM or going into computer science fields.

Aryanna Trejo (08:41):

Yeah. I don’t necessarily work on the recruitment side of it, is the issue, in my position. But I do work on the professional learning, that is brought out to teachers. And we have a huge focus on equity throughout the workshops that we create from K–12. It’s something we’re really passionate about. We definitely aim to prepare teachers to teach computer science. That’s a huge part of it. Knowing the content, but also thinking through, “What does recruitment look like at your school to make sure that the demographics of your classroom match the demographics of your entire school?” Also, thinking through, “How can we make sure that female students feel included in your classroom? How can we make sure that we are, giving students creativity to think about, or we are setting students up to be creative and think about the problems that are in their community, and how they can use computer science to solve them, or at least work towards them?”

Eric Cross (09:39):

So solving real-world problems and that inclusion aspect…are there things like…you were saying “female or students who identify as female”…are there things that teachers can do to ensure that they’re being more inclusive? Or to recruit, or encourage more female students to take part? One of the things I was thinking of, that I’ve seen, is I’ve seen coding kind of camps.

Aryanna Trejo (10:06):

Sure.

Eric Cross (10:08):

That were specifically for a female audience. And that seemed to help with recruitment. Is that something that you see on your side?

Aryanna Trejo (10:16):

That’s not something that we set up, no. But the curriculum that I work with is CS Principles. And it’s offered as an Advanced Placement course, as well as an AP class. So that’s a curriculum that’s designed for students who are in grades 10 through 12. And so at that point, we can really talk to teachers and ask them what the recruitment strategy is. But in terms of strategies that teachers can use to recruit those students…I mean, I’ve heard over and over from lots of different teachers who identify as female that they didn’t think that computer science was for them, until they saw a role model in that position. And so just being a role model for those students is really wonderful.

Eric Cross (11:00):

And I see it too, with—like, we do “Draw a Scientist” activity, which is like a popular science thing—

Aryanna Trejo (11:05):

Sure, yeah, I’m familiar.

Eric Cross (11:05):

But it’s the same thing, right? Like, it fleshes out. My students don’t draw themselves as scientists. They draw what they perceive, based on what television says. I imagine with computer science, it’s probably really similar, when you think about “What’s a software engineer look like?” Do students tend to draw themselves? Or is it even a mystery? Because I don’t even know what a software engineer looks like.

Aryanna Trejo (11:28):

Yeah, absolutely. Well, one of the things we love to do with our professional learning workshops is talk about understanding yourself, your identities, how they show up in the classroom as biases. And, you know, things like stereotype threat. We see that as really important to understand, and think through, and consider, before you step into the classroom. So that you’re not, you know, coddling certain groups of students because you don’t believe that they are able to be successful in computer science. Holding all the students to the same expectations and believing that they can succeed. And computer science, I think a lot of the times people have this conception of it being this utopian, bias-less, technocratic field. When in reality, everything has bias. And people talk about algorithmic bias and facial recognition, but also the people who created computers and computer languages have their own bias that comes through. And I think it’s really important to show students that. So that they can, one, know what they’re working with, and two, make sure that they can create products that reduce that bias.

Eric Cross (12:50):

It’s like…it’s not objective, just because we’re creating software. Like, once it gets to a point of being so sophisticated…I think, like, AI software, right? With facial recognition? And we’re seeing more and more articles come out about, you know, predicting trends based on historical data.

Aryanna Trejo (13:12):

Sure.

Eric Cross (13:13):

But then, the trends and things that they’re seeing tend to target things that have happened in the past. But it also doesn’t take into consideration a lot of other factors that can lead to certain groups or populations being identified. And I’ve seen some articles lately about how your code is really just representation of what you put into it. And like you just said, your bias—if you have that, conscious or unconscious—you’re gonna put that into your code. And the input is gonna be an impact, is gonna impact the output.

Aryanna Trejo (13:44):

Yeah, absolutely. Or even just—and I’m ashamed to say this, ’cause this is an idea that came to me just recently, through an article that I read—but computers themselves have bias. The hardware assumes that you have vision, that you can see the screen, that you are able-bodied, that you can use your hands to work the keyboard, the mouse, et cetera, and that you don’t have to use assistive technology. You know, there are small things like that, where we think that technology, like I said, is this utopian, futuristic science…but there are biases throughout.

Eric Cross (14:19):

You’re absolutely right. I’ve never even—I’ve never even considered that. Even though I do use assistive tech, and figure it out, I’ve never thought from the ground up, the process is built for an able-bodied, sighted, hearing person.

Aryanna Trejo (14:31):

Exactly.

Eric Cross (14:32):

To be able to engage with the hardware. And then these other things, these tertiary things that we kind of add on, so that you can do this, but it’s not designed from the ground up for people who are, you know, different audiences, physically. So I’m glad you brought that up, though. Now I’ve seen—and I haven’t done this—but I know Hour of Code is a big thing. And this is something that’s ongoing. Can you talk a little bit about what Hour of Code is? I know it’s, it’s a big thing for the classroom teachers.

Aryanna Trejo (15:08):

Yeah. So Hour of Code is really exciting, and it’s just blossomed from something small to something tremendous. This year is gonna be the 10th Hour of Code. So what it is, is it happens during CS Education Week in December, during Grace Hopper’s—or to honor Grace Hopper’s birthday. She was a computer scientist and Navy Admiral. And basically the aim of it is to get as many students on the computer doing an hour of code, and demystify what coding is. You know, to do seed-planting. To show teachers that this is something that you can facilitate for your students. And also to show students like, “Hey, computer science is something you can absolutely do. Not just for an hour, but more if you want.” So, yeah. Now it’s worldwide, and it’s really exciting.

Eric Cross (15:58):

That’s awesome. And I think about teachers and I still hear the apologetic—when I’m helping teachers in the classroom with education technology—the self-deprecating “I’m a dinosaur; I’m not good with tech,” which is never true. Like, they’re better than they even realize. And I feel like sometimes there’s still a stigma, too. It’s like <laugh> The Simpsons’ Comic Book Store Guy. The condescending tech support person—

Aryanna Trejo (16:27):

Sure.

Eric Cross (16:28):

—who has that tone. And so I feel like some people have been so negatively impacted by that person. So I know when I’m helping people, I actually try to go full-spectrum the other side. But I’m thinking about teachers’ barrier to entry. Sometimes code is like, “Whoa.” And I don’t teach computer science. Do you see those barriers to entry, or at least the perception of them? And then, what’s the reality for like someone listening, and going, “I’m a fourth grade teacher,” or “I’m a humanities teacher in ninth grade.” What’s the perception that you see, versus reality, with the teachers that you train? Is it much more accessible than we think? Or is there a level of sophistication that you have to have coming into it?

Aryanna Trejo (17:10):

No, not at all. I know computer science, and that says a lot! <Laugh> You know, I know my own corner of computer science. And you know, that’s me being self-deprecating, too. But I think learning computer science has helped me in so many different ways that I wasn’t expecting. I recently took the GRE in hopes of, you know, getting back into grad school. And I think just the way that computer science teaches you to search for bugs in your code, or errors, and kind of tirelessly look at a problem from multiple different angles, I was able to carry that into the math that I was doing. And I noticed just a huge difference in the way that I approached it, and the way that I was open to it. But you asked a great question, in regards to the barriers to technology. In my position at 9 Dots, I was working directly with teachers to lead professional development with them. Sometimes it would be a full day; sometimes it would be an hour after school. And the one thing that I always had in my back pocket that was really useful is that I would hear teachers saying things like, “Well, I just can’t do coding; this is too hard for me; the time has passed.” And I would ask them, “Would you say that to your student about math or English?” And they would always sheepishly go, “No.” And I’d say, “Well, be as kind to yourself as you would be to your student.” You know, it takes some patience and nobody’s gonna get it perfect 100 percent of the time. Have I banged my head against the wall trying to solve one tiny little syntax error in my code? Absolutely! But it feels absolutely phenomenal to fix that. And I was an English major in undergrad, and I had never done computer science before. So it’s something that becomes really satisfying.

Eric Cross (19:07):

Yeah, I imagine. I had someone—a trainer or a presenter—one time bring up the fact that our students rarely get to see us learn in real time.

Aryanna Trejo (19:19):

Yeah.

Eric Cross (19:19):

So we don’t get to ever really model failure. I mean, unless we’re in a classroom situation <laughs> in our failures, with classroom management. Then they see it, they see it! But they don’t get to see us model learning failure. And I don’t mean like failure—and yes, I know, “first attempt is learning,” and “no such thing as failure”—that’s not what I’m talking about. But just when we’re not successful with our code, and then we experience real-time frustration.

Aryanna Trejo (19:42):

Yep.

Eric Cross (19:42):

And they said that is actually a great learning experience for your students to watch you go through productive struggle. And that was really liberating for me. Because now I’m in the classroom, and I’m trying to go through it with my students, and the beautiful thing was, they started helping me. We were all trying to solve the problem. And then we had this authentic problem-solving experience. I think it was like a Scratch program, where we were trying to solve, trying to embed it somewhere, or something. And then, in the background of the class: “Mr. Cross! I got it! I figured it out!” And it was this really neat bonding experience. And I felt that—your ears get red, and you get hot, ’cause you’re not—

Aryanna Trejo (20:19):

Oh yeah.

Eric Cross (20:20):

You don’t know it! And you’re in front of 36 kids! And I said, “OK, I need to tell them how I feel.”

Aryanna Trejo (20:25):

Yeah.

Eric Cross (20:26):

So I said, “Now I feel really frustrated.” Like, “I want to go through this, and here’s my thoughts.” ‘Cause I knew that it would be helpful if they saw and would hear my thoughts. So I just did a quick think-aloud and I said, “In my head, <laugh> I want to just quit,” I said, “But I realize that this is the part where my learning’s happening. So I just want you all to hear what’s going on in my brain.” And now I feel like when I’m doing coding with my students, and it’s just basic coding, I feel much more comfortable, like, not knowing. But I needed someone to release me from that “I have to be the expert in everything” to do it.

Aryanna Trejo (21:06):

And teachers are used to being the experts. Right? And they should be. And coding is just such a different landscape. But I think once you kind of give over to the power of tinkering, I think it’s really gratifying. I love being able to…you can revise a sentence, and then read your paragraph back to yourself in English, and say, “OK, I get it.” But there’s something so gratifying about changing a line of code or a block and then being able to hit play and watch your program come to life, and say, “Hmm, that’s not quite what I wanted. Let’s try something different.”

Eric Cross (21:39):

I love your connection to tinkering. ‘Cause—I had never thought about it—’cause I love tinkering with my hands. But I always think about physical things. But coding is exactly that. It’s tinkering.

Aryanna Trejo (21:47):

It’s exactly that.

Eric Cross (21:47):

That’s exactly what it is.

Aryanna Trejo (21:49):

And a lot of it is, for me, especially when I’m trying something new, it’s guess-and-check. It’s like, “OK, that didn’t work. What if I add a semicolon here? Will it finally work? Or what if I add a ‘for’ loop? Will this get me what I want?” And it’s wonderful because you have that with students as well. Like, you have that record of their thinking, and you can ask them to go step-by-step and tell you, you know, “First, I added this, because I wanted the program to do this,” and so on and so forth. And so you have that record, but you can always get rid of it. Students often wanna get completely get rid of it. That’s something that I’ve noticed a lot as I’ve taught computer science. But, once you can get them to target the specific parts of the program, tinker with that, and continue, that’s a really wonderful learning space. There was also something you said about modeling failure. I love the fact that in computer science you can model failure for your students. You said to your students, “I’m getting frustrated.” I love that, because I never got that in math. Nobody ever showed me what it was like to be frustrated with graphing a parabola. Right? Like, my math teachers were always like, “Doot, doot, doot, here you go, you’re done!” <Laugh> And I would get so frustrated, because it didn’t come that easily to me. And I think there’s two parts to that. So there’s modeling the learning and the thinking and the productive struggle, but also there’s the identity of being a computer scientist and modeling what that looks like. So for me, when I get really frustrated with a program, I walk away. I take five minutes. I take a deep breath. I say, “I’m not gonna think about it in these five minutes.” And I come back to it. And I think once you start teaching computer science, you can facilitate that for students. And there’s so many different strategies that they can pick up. They can pick up rubber ducking, which is where they pick up a rubber duck or a similar object, and they talk to it as if they were a partner and talk through their code. And oftentimes, as you’re rubber ducking, you’re gonna find that error, because you’re explaining it to someone who’s a stand-in for a novice. And rubber ducking is a well-known strategy for computer scientists who make it their career. You know, there’s pair programming. Some students love pair programming; some students hate it. But the students start to build this identity about how they problem-solve. And how they approach failure. And I just love that.

Eric Cross (24:31):

I’m writing this down. Because the rubber-ducking strategy, I love. I just imagine my seventh graders, a bunch of 13-year-olds with, like, rubber on the desk. And not necessarily in coding, but I was thinking in my science class. And they’re working through a challenge, and they’re all looking at this duck, and they’re talking to it. But I just love the the idea of externalizing your thought process and talking through it yourself so that you can hopefully arrive at a conclusion. But it’s such a great practice, and this is something that’s been around for a long time, apparently. So.

Aryanna Trejo (24:59):

Yeah. Yeah. It’s a real thing. And you know, you can go low-fi. It doesn’t have to be a rubber duck. You can have students talk to their pencils or their imaginary friends. That’s not the issue; the issue is, you know, talking to somebody.

Eric Cross (25:10):

I know you support teachers. But I just wanted to…I was just curious about your typical day, what that’s like. And then what you do, how you support ’em.

Aryanna Trejo (25:15):

So, at my previous job at 9 Dots, I was in there with the teachers in the classrooms. I was coaching our internal staff who went out to co-teach with teachers. And I loved that. And I had such a great impact on a local scale. But now at Code.org, I have a much broader impact. But I don’t get to interface with—that’s such a tech-y word!—I don’t get to interact with—

Eric Cross (25:42):

You work at Code.org! You get to—

Aryanna Trejo (25:42):

I know! But I’m a teacher at heart, forever, right? That’s my identity that I forged when I was 22 years old. And a typical day looks like opening up my computer, taking a look at my calendar. I often have meetings to talk about, different things that we’re doing to support our facilitators who go out to our teachers and lead their workshops for them. I recently worked on a product that was designed for CS principles, teachers, to onboard to the course if they weren’t able to get into an in-person workshop. And it’s completely self-paced, so it gives teachers an on-ramp into the course. And now I’m working on some in-person workshop agendas. So I feel really wonderful that my work is going out to thousands of teachers. But at the same time, I really, really miss talking to teachers. Because that’s something that energizes me so much.

Eric Cross (26:46):

When should students start learning computer science? I feel like we see it in this kind of narrow lane. Like, this is computer science if you make an app. Can it be more than that? As far as like the benefit of computer science? And—I guess two-part question—when should students, one, start being exposed to it? And then two, what are some of the benefits beyond just, “I wanna just make an app”?

Aryanna Trejo (27:08):

I taught coding to kindergartners. It can start as early as you as you want it to. And it doesn’t necessarily need to be on the computer. A lot of students that I worked with didn’t have computers at home, were interacting with computers for the first time. And that’s a huge barrier, of course, to a lot of teachers. But there are so many unplugged lessons that you can do to start to start to have students think about algorithms, which is just a series of steps to complete to solve a problem. As long as a student can use a computer, I think they can do computer science. There are products out there like codeSpark, where students—and Code.org has these products too—where students are moving an avatar around a board, kind of like a quadrant to…you know, they feed the directions to a computer and then the computer enacts it for them. And with that, they can learn algorithms. You know, that is computer science. And a lot of people don’t see it that way, but it really is. And it starts to set students up for more complex thinking as they move on.

Eric Cross (28:13):

One of the biggest underserved communities, geographically, are students in rural areas.

Aryanna Trejo (28:20):

Yep.

Eric Cross (28:21):

They can be reservations; they can be places just not an urban area. Is there a way to serve our communities of students and bring these skills in an unplugged way?

Aryanna Trejo (28:32):

Yeah. Yeah. If you typed in “unplugged computer science lessons” to Google, you’ll have a ton of hits. And there are so many students out there—not just in rural areas. But there’s incarcerated students. It hurts my heart to even say those words, but in urban areas too. Like in my classroom, where I only had four desktop computers. Access is a real struggle. And there’s things, like I said, instead of moving an avatar around a grid on the computer, I used to have an actual mat that I would take out to my kindergarten classrooms, lay it out, and it would have a grid on it. And we’d have one of the students act as the avatar and the rest of the students would give them directions to get to a different point on the grid. And there, you’re building an algorithm or just a series of steps. Like I said, it’s not some fancy term to solve a problem. And there’s multiple ways to solve that problem, too. And I think investigating that can be a really good way to stretch those lessons.

Eric Cross (29:32):

It almost sounds like an oxymoron, but this low-tech computer science strategy. Develop these skills and then transfer that once you have access to the tools.

Aryanna Trejo (29:39):

Yeah. Yeah. Absolutely. And I think it’s a good way for students who need kinesthetic means to start to understand something, or just different learning styles, to start transferring that over.

Eric Cross (29:53):

I probably have students in the classroom where those kinesthetic moving things would help be a great way—or WILL be a great way—for them to learn the principles and the fundamentals of coding. Instead of only giving the option to just do the computer, actually giving them some choice. Or giving them a way to be able to manipulate things. We’re still in the system of education that’s still very siloed. It’s been the same way for a hundred years. We got math and then we got science and we got English. I’m wondering, how can a teacher fit this into their daily lessons? And then, do you have any experiences or stories or things that you’ve seen, just really creative ways that you’ve seen teachers incorporate this? Outside the norm of, “This is a computer science class; we’re just gonna code.” But have you seen it branch out? In the trainings that you’ve done?

Aryanna Trejo (30:40):

I’ve seen examples of that. I’ve seen a teacher use Scratch to demonstrate different climates of California, and show the different climates. This past year for Hour of Code, my friend Amy—the one who helped me move to 9 Dots and at Code.org—she created this incredible tutorial called Poetry Bot. And it was a way to get students to match the mood of the poem to some of the elements that were happening in the stage. So they would have different backgrounds show up at different parts of the poem. When the words would show up, they would have different sprites show up. They would have, sometimes, sounds. Or the text would show up with different animations. So there are cross-curricular opportunities everywhere, if you can be creative enough to find them, or if you beg, borrow, steal from other educators who are doing this incredible work out there.

Eric Cross (31:36):

Yeah. I say this all the time, but I’m an educational DJ, not an MC.

Aryanna Trejo (31:44):

Oh yeah.

Eric Cross (31:45):

So MCs write their lyrics and DJs remix with things that other people have done.

Aryanna Trejo (31:48):

Absolutely.

Eric Cross (31:48):

I was like, I’m a DJ. I was like, all day. Sometimes I’ll write a lyric, once or twice, but most of the time I’m remixing things. So teachers, if you’ve been out there and you got an awesome interdisciplinary thing, or you’ve incorporated coding and it’s something that’s traditionally not seen, please send it to us. Share it with us.

Aryanna Trejo (32:03):

Yeah. And there are so many different places where you can find that. We have a forum for Code.org, but there’s also CSTA, the Computer Science Teachers Association. You can join your local chapter and get to know other computer science teachers out there.

Eric Cross (32:19):

I guess…to wrap up, I’ve been using Scratch programming, the MIT website. My students do the basic animated name, CS First, stuff. But over the years, I’ve noticed that my students are coming in with a higher level of sophistication in Scratch to where now the differentiation…some of my students are just doing very basic…and then I have other students who’ve created full-on video games with complex…like, you look at their Scratch page and it’s just an amazing amount of blocks and integrations and things that they have. Is there anything on Code.org that could be a next step? That takes them beyond, maybe like the visuals? And if so, what would be a good next step, to take students to advance them to another platform? There’s so many coding languages out there, I feel like. Or I might not even be thinking about that the right way.

Aryanna Trejo (33:20):

No, I think you are. You know, we have three different curricula out on our website right now. We have CS Fundamentals, which is probably more in line with what you’re talking about. We have a free CS Discoveries curriculum, and that is designed for, grades, I believe, 6 through 10. And that would be a really good entry point, for both teachers and for students.

Eric Cross (33:44):

There’s a lot of new stuff that I hadn’t seen yet, a few years ago.

Aryanna Trejo (33:49):

Yeah.

Eric Cross (33:49):

So I was really excited.

Aryanna Trejo (33:50):

One thing that I do know is that CS Discovery has just added an artificial intelligence slash machine-learning unit, that you can just pick up and give to your students. You don’t have to go in order with CS Discoveries, like you do with CS Principles. And I’ve gone through some of those lessons. They are really rad. And I would’ve loved to have learned that when I was in middle school or high school. So yeah, we’re constantly thinking of how we can make things one, relevant to our students, and two relevant to what’s going on in the world.

Eric Cross (34:20):

So would I be overselling it if I said, “If you go through this, you’ll be able to create an AI or a neural net to do all your homework”?

Aryanna Trejo (34:26):

You would be overselling it.

Eric Cross (34:27):

I would be? OK. So what I’ll do is, I’ll wait until the end of the school year, and then introduce it, and then by the time they’ve realized it’s not true, they’ll be eighth graders.

Aryanna Trejo (34:35):

There you go. Good old bait-and-switch.

Eric Cross (34:37):

You’re amazing. Thank you for serving teachers, and for being part of such a great organization that puts out great stuff. So much free curricula for teachers to be able to use. Especially nowadays we hunt and scour the internet for those types of things. And to be able to bring computer literacy into the classroom, and with your focus of serving communities of underrepresented groups, it feels good to know that not only is it high-quality material, but it’s also trying to raise everyone up. Because ultimately when we have more people trying to solve a common problem, we come up with better solutions. And I was talking to somebody who was a materials engineer somewhere in Europe, and he said one of the things about the U.S., As he was critiquing me on this flight, critiquing the U.S., He said, “One of the things about your country is that you have a heterogeneous group of people who, in a group, when you have multiple perspectives attacking a problem, you come up with more novel solutions.” He says, “That’s one of the great things, is that there’s not necessarily just a hive mind.” And I think that that’s one of the great things. We uplift different communities, and we uplift women, people of color, people who, have backgrounds that parents didn’t go to college but have these amazing qualities and strengths. And we put everybody focusing on the same issue. We come up with novel solutions that we wouldn’t have come up with if only select groups were trying to look at it and solve it. And so—.

Aryanna Trejo (36:22):

Yeah.

Eric Cross (36:23):

And we couldn’t do that without organizations like yours, that help empower teachers. So.

Aryanna Trejo (36:27):

Yeah! You really said it.

Eric Cross (36:29):

You’re coming to my classroom when you’re back in San Diego?

Aryanna Trejo (36:31):

Yeah! I totally will. Yeah. Let’s make it happen.

Eric Cross (36:34):

Last question. If you think back in your schooling, your own schooling, K through college, is there a person or a teacher that had a big impact on you? Or a learning experience that had an impact on you? And it could be, you know, positive or negative. But something that impacted you, even to this day, that stands out to you, that you remember?

Aryanna Trejo (36:56):

This is a big diversion from the topics that we’re talking about. But in grades 10 through 12, my drama teacher, Mr. Byler, who I still talk with, was such a huge impression on me. Really wonderful. And I couldn’t tell you the teaching moves that he did that were wonderful. I don’t know much about his management. But I can tell you that he gave me space to be confident, and grow into myself, through drama productions. They were high school productions, so they weren’t amazing. But I just really came into myself in high school, because I had the confidence to get on stage. And he was just such a wonderful mentor to all of us. So, props to Mr. Byler.

Eric Cross (37:39):

Shout out to Mr. Byler for creating space for Aryanna to fly! Thanks for making time, after your workday, to talk with us and to share Code.org with teachers.

Aryanna Trejo (37:54):

Of course. Happy to.

Eric Cross (37:59):

Thanks so much for joining me and Aryanna today. We want to hear more about you. If you have any great lessons or ways to keep student engagement high, please email us at stem@amplify.com. Make sure to click subscribe wherever you listen to podcasts. And join our brand new Facebook group, Science Connections: The Community for some extra content.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Aryanna Trejo says about science

“I would hear teachers saying things like, ‘Well I just can’t do coding, it’s just too hard for me.’ And I would ask them…Would you say that to your student about math or English? Be as kind to yourself as you would be to your student.”

– Aryanna Trejo

Professional Learning Specialist, Code.org

Meet the guest

Aryanna is a member of the Code.org Professional Learning Team. Before joining Code.org, Aryanna led computer science professional development for K-6 teachers and served as an instructional coach for new educators. She also taught fourth and fifth grade in New York City and Los Angeles. In her spare time, Aryanna loves taking advantage of the California sunshine, creating wheel-thrown pottery, and hanging out with her dog Lola.

Person with curly hair smiling, standing in front of a brick wall. Circular frame with decorative star in the corner.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Families and caregivers, welcome to Amplify Desmos Math Texas K–5!

Welcome to the Amplify Desmos Math Texas K–5 Caregiver Hub. We’re here to support your student as they explore math, work with friends to solve problems, and learn new and interesting concepts—and to support you as you go on this math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math Texas.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Unit Caregiver Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Beginning Number Concepts

Unit 2: Numbers 1–10

Unit 3: Shapes, Coins, and Financial Literacy

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Story Problems Within 10

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99 and Financial Literacy

Unit 5: Adding Within 120

Unit 6: Length Measurement Within 120 Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Developing Financial Literacy

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring and Solving Problems Using Length

Unit 4: Numbers to 1,200

Unit 5: Geometry and Time

Unit 6: Adding and Subracting Within 1,000

Unit 7: Equal Groups and Area

Unit 1: Introducing Multiplication

Unit 2: Adding, Subtracting, and Rounding Larger Numbers

Unit 3: Relating Multiplication to Division

Unit 4: Fractions as Numbers

Unit 5: Measurement and Financial Literacy

Unit 6: Sorting and Classifying Shapes

Unit 1: Fraction Equivalence and Comparison

Unit 2: Extending Operations to Fractions

Unit 3: From Hundredths to One Billion

Unit 4: Mathematical Relationships and Financial Literacy

Unit 5: Multiplying and Dividing Multi-Digit Numbers

Unit 6: Angles and Properties of Shapes

Unit 1: Volume, Factors, and Expresssions

Unit 2: Multiplying and Dividing Fractions

Unit 3: Multi-Digit Multiplication and Division and Financial Literacy

Unit 4: Place Value Patterns and Decimal Operations

Unit 5: Measurement, Fraction Operations, and Data

Unit 6: Geometry and Algebraic Reasoning

Sub-Unit Summaries

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Select the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math Texas supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math Texas classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math Texas lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math Texas offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Try out the following Center games with your student!

Each unit in Amplify Desmos Math begins with a Read-Aloud to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process—a necessary and beneficial part of learning. Many students (and adults) fear making mistakes, but research shows that mistakes help our brains grow! When your student gets stuck on a problem, encourage them to keep trying different strategies even if they’re not sure they’re right.

Grade 6

Unit 1: Expressions and Equations: Area, Algebraic Expressions, and Exponents

iReady ClassroomDesmos Math 6–A1
Lesson 1: Find the Area of a ParallelogramUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 2: Find the Area of Triangles and Other PolygonsUnit 1
Lesson 7: Off the Grid, Part 2
Practice Day 1 (Print available)
Lesson 3: Use Nets to Find Surface AreaUnit 1
Lesson 11: Nothing But Nets (Print available)
Practice Day 2 (Print available)
Lesson 4: Work with Algebraic ExpressionsUnit 6
Lesson 6: Vari-apples
Lesson 5: Write and Evaluate Expressions with ExponentsUnit 6
Lesson 4: Hanging it Up
Lesson 5: Swap and Solve (Print available)
Practice Day 2 (Print available)
Lesson 6: Find Greatest Common Factor and Least Common MultipleUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)

Unit 2: Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

Unit 3: Ratio Reasoning: Ratio Concepts and Equivalent Ratios

Unit 4: Ratio Reasoning: Unit Rates and Percent

Unit 5: Algebraic Thinking: Equivalent Expressions and Equations with Variables

Unit 6: Positive and Negative Numbers: Absolute Value, Inequalities, and the Coordinate Plane

Lesson 23: Understand Positive and Negative NumbersUnit 7
Lesson 1: Can You Dig It [Free lesson]
Lesson 4: Sub-Zero
Lesson 24: Order Positive and Negative NumbersUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 25: Understand Absolute ValueUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 26: Write and Graph One-Variable InequalitiesUnit 7
Lesson 6: Tunnel Travels [Free lesson]
Lesson 7: Comparing Weights
Lesson 8: Shira’s Solutions
Lesson 27: Understand the Four-Quadrant Coordinate PlaneUnit 7
Lesson 9: Sand Dollar Search
Lesson 10: The A-maze-ing Coordinate Plane
Lesson 11: Polygon Maker
Practice Day 2 (Print available)
Lesson 28: Solve Problems in the Coordinate PlaneUnit 7
Lesson 12: Graph Telephone
Practice Day 2 (Print available)

Unit 7: Statistical Thinking: Data Distributions and Measures of Center and Variability

Grade 7

Unit 1: Proportional Relationships: Ratios, Rates, and Circles

Unit 2: Numbers and Operations: Add and Subtract Rational Numbers

Unit 3: Numbers and Operations: Multiply and Divide Rational Numbers

Lesson 11: Understand Multiplication with Negative IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 12: Multiply and Divide with Negative NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Express Rational Numbers as Terminating or Repeating DecimalsUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 14: Use the Four Operations with Negative NumbersUnit 5
Lesson 10: Integer Puzzles [Free lesson]
Lesson 13: Solar Panels and More (Print available)
Practice Day 2  (Print available)

Unit 4: Algebraic Thinking: Expressions, Equations, and Inequalities

Unit 5: Proportional Reasoning: Percents and Statistical Samples

Unit 6: Geometry: Solids, Triangles, and Angles

Lesson 25: Solve Problems Involving Area and Surface AreaUnit 7
Lesson 12: Surface Area Strategies (Print available)
Lesson 26: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Practice Day 2 (Print available)
Lesson 27: Describe Plane Sections of Three-Dimensional FiguresUnit 7
Lesson 9: Slicing Solids
Lesson 28: Find Unknown Angle MeasuresUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 4: Missing Measures (Print available) [Free lesson]
Lesson 29: Draw Plane Figures with Given ConditionsUnit 7
Lesson 6: Is It Enough
Lesson 7: More Than One?
Lesson 8: Can You Draw It? (Print available)
Practice Day 1 (Print available)

Unit 7: Probability: Theoretical Probability, Experimental Probability, and Compound Events

Lesson 30: Understand ProbabilityUnit 8
Lesson 1: How Likely? (Print available) [Free lesson]
Lesson 2: Prob-bear-bilities [Free lesson]
Lesson 31: Solve Problems Involving Experimental ProbabilityUnit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 32: Solve Problems Involving Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 33: Solve Problems Involving Compound EventsUnit 8
Lesson 7: Weather or Not
Lesson 8: Simulate It! (Print available)
Practice Day 1 (Print available)

Grade 8

Unit 1: Geometric Figures: Rigid Transformations and Congruence

iReady ClassroomDesmos Math 6–A1
Lesson 1: Understand Rigid Transformations and Their PropertiesUnit 1
Lesson 1: Transformers [Free lesson]
Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Transformation Golf
Lesson 2: Work with Single Rigid Transformations in the Coordinate PlaneUnit 1
Lesson 4: Moving Day (Print available) [Free lesson]
Lesson 8: No Bending, No Stretching
Lesson 9: Are They Congruent?
Practice Day (Print available)
Lesson 3: Work with Sequences of Transformations and CongruenceUnit 1
Lesson 3: Transformation Golf

Unit 2: Geometric Figures: Transformations, Similarity, and Angle Relationships

Unit 3: Linear Relationships: Slope, Linear Equations, and Systems

Lesson 8: Graph Proportional Relationships and Define SlopeUnit 2
Lesson 9: Water Slide

Unit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Derive and Graph Linear Equations of the Form y = mx + bUnit 3
Lesson 6: Translations
Lesson 9: Coin Capture
Lesson 10: Solve Linear Equations in One VariableUnit 4
Lesson 1: Number Machines
Lesson 2: Keep It Balanced
Lesson 11: Determine the Number of Solutions to One-Variable EquationsUnit 4
Lesson 7: All, Some, or None
Lesson 8: When Are They the Same?
Lesson 12: Understand Systems of Linear Equations in Two VariablesUnit 4
Lesson 9: On or Off the Line?
Lesson 10: On Both Lines
Lesson 13: Solve Systems of Linear Equations AlgebraicallyUnit 4
Lesson 11: Make Them Balance [Free lesson]
Lesson 12: Line Zapper [Free lesson]
Lesson 14: Represent and Solve Problems with Systems of Linear EquationsUnit 4
Lesson 13: All, Some, or None? Part 2
Lesson 14: Strategic Solving, Part 2 (Print available)
Practice Day 2 (Print available)

Unit 4: Functions: Linear and Nonlinear Relationships

Lesson 15: Understand FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 3: Function or Not?
Lesson 16: Use Functions to Model Linear RelationshipsUnit 5
Lesson 4: Window Frames
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 6: Graphing Stories
Lesson 17: Compare Different Representations of Functions
Lesson 18: Analyze Functional Relationships Qualitatively
Unit 5
Lesson 7: Feel the Burn (Print available) [Free lesson]

Unit 5: Integer Exponents: Properties and Scientific Notation

Unit 6: Real Numbers: Rational Numbers, Irrational Numbers, and the Pythagorean Theorem

Lesson 23: Find Square Roots and Cube Roots to Solve ProblemsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Filling Cubes
Lesson 24: Express Rational Numbers as Fractions and DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 25: Find Rational Approximations of Irrational NumbersUnit 8
Lesson 10: Taco Truck [Free lesson]
Lesson 26: Understand the Pythagorean Theorem and its ConverseUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 27: Apply the Pythagorean TheoremUnit 8
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 9: Make It Right
Lesson 11: Pond Hopper
Practice Day 2 (Print available)
Lesson 28: Solve Problems with Volumes of Cylinders, Cones, and SpheresLesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 12: Scaling Cylinders
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 15: Spheres

Unit 7: Statistics: Two-Variable Data and Fitting a Linear Model

Lesson 29: Analyze Scatter Plots and Fit a Linear Model to DataUnit 6
Lesson 3: Robots [Free lesson]
Lesson 4: Dapper Cats [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 5: Fit Fight [Free lesson]
Lesson 30: Write and Analyze an Equation for Fitting a Linear Model to DataUnit 6
Lesson 6: Interpreting Slopes
Lesson 7: Scatter Plot CityLesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 31: Understand Two-Way TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 10: Finding Associations [Free lesson]
Lesson 32: Construct and Interpret Two-Way TablesUnit 6
Lesson 11: Federal Budgets
Practice Day 3

Grade 6

Chapter 1: Use Positive Rational Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Fluently Add, Subtract, and Multiply DecimalsUnit 5
Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 5: Decimal Multiplication
Lesson 12: Budget Vehicles (Print available)
Practice Day 1 (Print available)
Lesson 2: Fluently Divide Whole Numbers and DecimalsUnit 5
Lesson 8: Division Diagrams
Lesson 9: Long Division Launch (Print available)
Lesson 10: Return of the Long Division (Print available)
Lesson 11: Movie Time [Free lesson]
Lesson 12: Budget Vehicles (Print available)
Practice Day 2
Lesson 3: Multiply FractionsUnit 4
Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 13: Volume Challenges
Lesson 14: Planter Planner (Print available)
Lesson 4: Understand Division with FractionsUnit 4
Lesson 1: Cookie Cutter
Lesson 2: Making Connections (Print available)
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Practice Day (Print available)
Lesson 5: Divide Fractions by fractionsUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 14: Planter planner (Print available)
Practice Day (Print available)
Lesson 6: Divide Mixed NumbersUnit 4
Lesson 5 Garden Bricks (Print available)
Lesson 6 Fill the Gap [Free lesson]
Lesson 11 Classroom Comparisons
Lesson 7: Solve Problems with Rational NumbersLesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 10: Swap Meet (Print available)

Chapter 2: Integers and Rational Numbers

Lesson 1: Understand IntegersUnit 7
Lesson 1: Can You Dig it In [Free lesson]
Lesson 4 Sub-Zero
Lesson 2: Represent Rational Numbers on the Number LineUnit 7
Lesson 2: Digging Deeper
Lesson 3: Order in the Class (Print available) [Free lesson]
Practice Day 1
Lesson 3: Absolute Values of Rational NumbersUnit 7
Lesson 5: Distance on the Number Line
Practice Day 1 (Print available)
Lesson 4: Represent Rational Numbers on the Coordinate Plane 
Lesson 5: Find Distances on the Coordinate Plane
Lesson 6: Represent Polygons on the Coordinate Plane
Unit 7
Lesson 11: Polygon Maker

Chapter 3: Numeric and Algebraic Expressions

Chapter 4: Represent and Solve Equations and Inequalities

Lesson 1: Understand Equations and SolutionsUnit 6
Lesson 1: Weight for It [Free lesson]
Lesson 3: Hanging Around
Lesson 13: Turtles All the Way
Lesson 2: Apply Properties of Equality
Lesson 3: Write and Solve Addition and Subtraction Equations
Lesson 4: Write and Solve Multiplication and Division Equations
Unit 6
Lesson 3: Hanging Around
Lesson 4: Hanging It Up
Lesson 5: Swap and Solve (Print available)
Practice Day 1 (Print Available)
Lesson 5: Write and Solve Equations with Rational NumbersUnit 6
Lesson 4; Hanging It Up
Lesson 5: Swap and Solve (Print available)
Lesson 6: Understand and Write InequalitiesUnit 7
Lesson 6: Tunnel Travel [Free lesson]
Lesson 7: Comparing Weights
Lesson 7: Solve InequalitiesUnit 7
Lesson 8: Shira’s Solutions
Lesson 8: Understand Dependent and Independent VariablesUnit 6
Lesson 13: Turtles All the Way
Lesson 9: Use Patterns to Write and Solve Equations
Lesson 10: Relate Tables, Graphs, and Equations
Unit 6
Lesson 13: Turtles All the Way
Lesson 14: Representing Relationships
Lesson 15: Connecting Representations (Print available)
Lesson 16: Subway Fares (Print available) [Free lesson]
Practice Day 2 (Print available)

Chapter 5: Understand and Use Ratio and Rate

Chapter 6: Understand and Use Percent

Lesson 1: Understand PercentUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 2: Relate Fractions, Decimals, and PercentsUnit 5
Lesson 13: Grocery Prices (Print available)
Lesson 3: Represent Percents Greater Than 100 or Less than 1 
Lesson 4: Estimate to Find Percent 
Lesson 5: Find the Percent of a Number
Lesson 6: Find the Whole Given a Part and the Percent
Unit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing?
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Practice Day 2 (Print Available)

Chapter 7: Solve Area, Surface Area, and Volume Problems

Chapter 8: Display, Describe, and Summarize data

Grade 7

Chapter 1: Rational Number Operations

enVision MathDesmos Math 6–A1
Lesson 1: Relate Integers and Their OppositesUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Understand Rational NumbersUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 3: Add Integers
Lesson 4: Subtract Integers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 5: Add and Subtract Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 6: Multiply IntegersUnit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 7: Multiply Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 8: Divide IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 9: Divide Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 10 Solve Problems with Rational NumbersUnit 5
Lesson 11: Changing Temperatures
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)

Chapter 2: Analyze and Use Proportional Relationships

Lesson 1: Connect Ratios, Rates, and Unit Rates 
Lesson 2: Determine Unit Rates with Ratios of Fractions 
Lesson 3: Understand Proportional Relationships: Equivalent RatiosUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
Lesson 4: Describe Proportional Relationships: Constant of ProportionalityUnit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Three Turtles
Practice Day (Print available)
Unit 3
Lesson 1 Circumference of a Circle
Lesson 5: Graph Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 6: Apply Proportional Reasoning to Solve ProblemsUnit 2
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency

Chapter 3: Analyze and Solve Percent Problems

Chapter 4: Generate Equivalent Expressions

Chapter 5: Solve Problems Using Equations and Inequalities

Chapter 6: Use Sampling to Draw Inferences About Populations

Chapter 7: Probability

Lesson 1: Understand Likelihood and ProbabilityUnit 8
Lesson 1 How Likely? (Print available) [Free lesson]
Lesson 2 Prob-bear-bilities [Free lesson]
Lesson 3 Mystery Bag
Lesson 2: Understand Theoretical Probability
Lesson 3: Understand Experimental Probability
Unit 8
Lesson 4: Spin Class
Lesson 5: Is It Fair?
Lesson 6: Fair Games
Lesson 4: Use Probability ModelsUnit 8
Lesson 6: Fair Games
Lesson 7: Weather or Not
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 5: Determine Outcomes of Compound EventsUnit 8
Lesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Find Probabilities of Compound Events
Lesson 7: Simulate Compound Events
Unit 8
Lesson 8: Simulate It
Lesson 9: Car, Bike, or Train? (Print available)
Practice Day 1 (Print Available)

Chapter 8: Solve Problems Involving Geometry

Lesson 1: Solve Problems Involving Scale DrawingsUnit 1 Lesson 1: Scaling Machines [Free lesson] Lesson 2: Scaling Robots Lesson 3: Make It Scale Lesson 4: Scale Factor Challenges Lesson 5: Tiles Lesson 6: Introducing Scale Lesson 7: Will It Fit? [Free lesson] Lesson 8: Scaling States Lesson 9: Scaling Buildings Lesson 10: Room Redesign Practice Day 1 Practice Day 2   Unit 3 Lesson 1: Toothpicks   Unit 4 Lesson 3: Sticker Sizes
Lesson 2: Draw Geometric FiguresUnit 7
Lesson 6: Is It Enough?
Lesson 3: Draw Triangles with Given ConditionsUnit 7
Lesson 5: Can You Build It? [Free lesson]
Lesson 6: Is It Enough?
Lesson 7: More Than One
Lesson 8: Can You Draw It?
Practice Day 1
Lesson 4: Solve Problems Using Angle RelationshipsUnit 7
Lesson 1: Pinwheels
Lesson 2: Friendly Angles [Free lesson]
Lesson 3: Angle Diagrams
Lesson 4: Missing Measures [Free lesson]
Lesson 5: Solve Problems Involving Circumference of a CircleUnit 3
Lesson 2: Is It a Circle?
Lesson 3: Measuring Around [Free lesson]
Lesson 4: Perimeter Challenges
Practice Day 1 (Print available) [Free lesson]
Lesson 6: Solve Problems Involving Area of a CircleUnit 3
Lesson 5: Area Strategies
Lesson 6: Radius Squares
Lesson 7: Why Pi?
Lesson 8: Area Challenges [Free lesson]
Lesson 9: Circle vs. Square
Practice Day 2
Lesson 7: Describe Cross SectionsUnit 7
Lesson 9: Slicing Solids
Lesson 8: Solve Problems Involving Surface AreaUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 12: Surface Area Strategies
Lesson 13: Popcorn Possibilities
Lesson 9: Solve Problems Involving VolumeUnit 7
Lesson 10: Simple Prisms
Lesson 11: More Complicated Prisms
Lesson 13: Popcorn Possibilities
Practice Day 2

Grade 8

Chapter 1: Real Numbers

enVision MathDesmos Math 6–A1
Lesson 1: Rational Numbers as DecimalsUnit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 2: Understand Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 3: Compare and Order Real Numbers 
Lesson 4: Evaluate Square Roots and Cube RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 5: Solve Equations Using Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Practice Day 1 (Print available)
Lesson 6: Use Properties of Integer ExponentsUnit 7  
Lesson 2: Combining Exponents
Lesson 3: Power Pairs (Print available) [Free lesson]
Lesson 4: Rewriting Powers
Practice Day 1 (Print available)
Lesson 7: More Properties of Integer ExponentsUnit 7  
Lesson 5: Zero and Negative Exponents
Lesson 6: Write a Rule (Print available)
Lesson 8: Use Powers of 10 to Estimate QuotientsUnit 7  
Lesson 7: Scales and Weights
Lesson 8: Point Zapper
Lesson 9: Use Your Powers
Lesson 9: Understand Scientific NotationUnit 7  
Lesson 10: Solar System [Free lesson]
Lesson 11: Balance the Scales [Free lesson]
Lesson 13: Star Power
Practice Day 2 (Print available)

Chapter 2: Analyze and Solve Linear Equations

Lesson 1: Combine Like Terms to Solve EquationsUnit 4
Lesson 2: Keep It Balanced
Lesson 2: Solve Equations with Variables on Both SidesUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 3: Solve Multi-Step EquationsUnit 4
Lesson 3: Balanced Moves
Lesson 4: More Balanced Moves (Print available)
Lesson 5: Equation Roundtable (Print available) [Free lesson]
Lesson 6: Strategic Solving (Print available)
Lesson 4: Equations with No Solutions or Infinitely Many SolutionsUnit 4
Lesson 7: All, Some, or None?
Lesson 5: Compare Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Water Tank
Lesson 3: Posters
Lesson 6: Connect proportional Relationships and SlopeUnit 2
Lesson 9: Water Slide
Lesson 10: Points on a Plane
Practice Day 
 
Unit 3
Lesson 2: Water Tank
Lesson 4: Stacking Cups
Lesson 5: Flags [Free lesson]
Lesson 7: Water Cooler
Lesson 8: Landing Planes
Lesson 9: Coin Capture
Lesson 7: Analyze Linear Equations: y = mxUnit 3
Lesson 3: Posters
Lesson 6: Translations
Lesson 8: Understand the y-intercept of a LineUnit 3
Lesson 5: Flags [Free lesson]
Lesson 6: Translations
Lesson 9: Analyze Linear Equations: y = mx + bUnit 3  
Lesson 6: Translations
Lesson 7: Water Cooler
Practice Day 

Chapter 3: Use Functions to Model Relationships

Lesson 1: Understand Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Connect Representations of FunctionsUnit 5
Lesson 3: Function or Not?
Lesson 5: The Tortoise and the Hare [Free lesson]
Lesson 3: Compare Linear and Nonlinear FunctionsUnit 5
Lesson 4: Window Frames
Lesson 4: Construct Functions to Model Linear RelationshipsUnit 5
Lesson 6: Graphing Stories
Lesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Charge! (Print available)
Lesson 5: Intervals of Increase and DecreaseUnit 5
Lesson 1: Turtle Crossing [Free lesson]
Lesson 6: Graphing Stories
Lesson 6: Sketch Functions from Verbal DescriptionsUnit 5  
Lesson 6: Graphing Stories

Chapter 4: Investigate Bivariate Data

Lesson 1: Construct and Interpret Scatter PlotsUnit 6  
Lesson 1: Click Battle
Lesson 2: Wing Span
Lesson 3: Robots [Free lesson]
Practice Day 1 (Print available) [Free lesson]
Lesson 2: Analyze Linear AssociationUnit 6  
Lesson 4: Dapper Cats [Free lesson]
Lesson 5: Fit Fights [Free lesson]
Lesson 7: Scatter Plot City
Lesson 3: Use Linear Models to Make PredictionsUnit 6  
Lesson 6: Interpreting Slopes
Lesson 8: Animal Brains
Practice Day 2 (Print available)
Lesson 4: Interpret Two-Way Frequency TablesUnit 6
Lesson 9: Tasty Fruit
Lesson 5: Interpret Two-Way Relative Frequency TablesUnit 6
Lesson 10: Finding Associations [Free lesson]
Lesson 11: Federal Budgets
Practice Day 3

Chapter 5: Analyze and Solve Systems of Linear Equations

Chapter 6: Congruence and Similarity

Chapter 7: Understand and Apply the Pythagorean Theorem

Lesson 1: Understand the Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 2: Understand the Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 3: Apply the Pythagorean Theorem to Solve ProblemsUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Lesson 4: Find Distance in the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper

Chapter 8: Solve Problems Involving Surface Area and Volume

Lesson 1: Find Surface Area of Three-Dimensional Figures 
Lesson 2: Find Volume of CylindersUnit 5
Lesson 10: Volume Lab
Lesson 11: Cylinders [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 3: Find Volume of ConesUnit 5
Lesson 13: Cones [Free lesson]
Lesson 14: Missing Dimensions (Print available)
Lesson 4: Find Volume of SpheresUnit 5
Lesson 15: Spheres
Practice Day 2 (Print available)

Elk Grove Science K5

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Getting started with Amplify Science California

Dear Elk Grove K–5 teachers,

Welcome to the Amplify Science California family! Below you’ll find everything you need to successfully kick off your science instruction this year.

– Your California team

Amplify Science - Student reading a book remote & hybrid

Program introduction

Onboarding videos

To start using Amplify Science California quickly in your classroom, check out the following onboarding videos. They cover what you need to know to get started fast, from unpacking materials to quickly start using Amplify Science in your classroom and navigating the digital Teacher’s Reference Guide.

Program pacing

Hands-on materials kit

The following videos give you a quick look into our Amplify Science California classroom kits. For each grade level, you’ll find a “How to unpack your kit” video for the first unit of the program.

Teacher digital resources

Watch this video to understand the basic organization of the digital teacher experience and how to navigate the platform.

Want some practice? Download this exploration guide to practice toggling between teacher view, presentation view, and student view.

Our new digital experience also makes it easy to assign work through our LMS integrations.

Our new digital experience also makes it easy to view student work in real time.

Student digital resources

Watch this video to take a peek at the various student digital resources available to your class.

Use this Student Login Click Path document to support students and families logging in from home.

Essential resources

Your Teacher’s Reference Guide is a tremendously rich resource. It’s also packed! That’s why teachers getting started with Amplify Science love our condensed Unit Guides, lesson planners, and device calendars.

Unit Guides

These short and sweet guides provide a big picture overview of each unit’s phenomenon and storyline, the key questions that guide learning, and how the storyline develops from chapter to chapter. We even spoil the big reveal at the end by pointing out ahead of time what students figure out throughout the unit.

A laptop displays an educational website titled "The Earth System" with lesson modules; a printed Teacher’s Guide with a similar cover design is shown beside it.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Lesson planners

Our lesson planners give you easy access to direct links to key resources within the program.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Teacher-provided materials

Your Amplify Science classroom kit includes a wide variety of consumable and non-consumable items. In fact, each kit contains enough non-consumables to support a class of 36 students working in small groups, and enough consumables to support 72 student uses.

In addition to these provided items, there are some teacher-provided items required in each unit. For a consolidated list of teacher-provided items per unit, download the appropriate PDF below.

Device calendars

Our at-a-glance device calendars make device management and sharing between grade-level colleagues a breeze. With one calendar per unit (beginning in grade 2), you can easily see which lessons utilize devices.

Approach to assessment

The Amplify Science California assessment system is grounded in the principle that students benefit from regular and varied opportunities to demonstrate understanding through performance. In practice this means that conceptual understanding is revealed through engagement in the science and engineering practices.

Assessment types at a glance

In your classroom, you’ll be utilizing a variety of formative (F) and summative (S) assessments:

  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.
  • Pre-Unit Assessments (F): Discussion, modeling, and written explanations to gauge students’ knowledge.
  • On-the-Fly Assessments (OtFA) (F): Multi-dimensional tasks integrated regularly throughout the lessons. OtFA opportunities were designed to help teachers make sense of student activity during a learning experience (e.g., student-to-student talk, writing, and model construction) and to provide evidence of how a student is coming to understand core concepts and developing dexterity with SEPs and CCCs. Three-dimensional assessment opportunities make measuring progress toward NGSS learning goals possible.
  • Self-assessments (F): One per chapter; brief opportunities for students to reflect on their own learning, ask questions, and reveal ongoing wonderings about unit content.
  • Critical Juncture Assessments (F): Variety of multidimensional performance tasks intended to assess student progress, occurring at the end of each chapter. Examples include writing scientific explanations, engaging in argumentation, developing and using models, and designing engineering solutions. Based on student performance on the assessment, teachers have access to recommendations for targeted student interventions, suggested follow-ups, or differentiating classroom instruction.
  • End-of-Unit Assessment (S): Assessments toward the end of each unit feature a combination of targeted discussions, student-generated models, and written explanations to gauge students’ knowledge and growth.

Pre-Unit Assessments

Most Pre-Unit assessments are embedded within an activity of the first lesson of a unit. In kindergarten and grade 1, the Pre-Unit assessment (as well as the End-of-Unit assessment) is oral. In grades 2–5 they are typically written. Refer to the Digital Resources area of the Lesson Brief for materials needed for the assessment activity, such as the Clipboard Assessment Tool (K–1 only), copymasters (grades 2–5 only), and an Assessment Guide that will help you interpret and leverage students’ responses.

If you and your students have Interactive Classroom licenses, students can complete their assessment digitally instead of using the copymaster.

When students complete the assessment pages digitally, you’ll be able to review their work on the View Work page.

Critical Juncture Assessments

Critical Juncture assessments typically occur towards the end of each chapter. The Materials and Preparation section will indicate when there is a Critical Juncture to prepare for, but you can also tell when an activity is designed to be a Critical Juncture assessment by the hummingbird icon that will appear within it. Selecting the hummingbird icon will tell you how to assess students’ understanding with the activity, and how to tailor instruction based on what you find. If you need guidance on the “answers” to the assessment activity, refer to the “Possible Responses” tab.

If you are using Classroom Slides or Interactive Classroom, you’ll see a hummingbird or “Critical Juncture” label in the bottom right corner of one of the slides of the activity.

The notes about assessing understanding and tailoring instruction are located in the notes of that slide (on the right-hand side of the Teacher’s Guide tab in the Interactive Classroom experience; underneath the slide in Classroom Slides).

End-of-Unit Assessments

End-of-Unit assessments are typically the last lesson of a unit. In some units, these are two-part assessments that take place over two lessons. The easiest way to find the End-of-Unit assessment is to skim through the lesson titles. Lessons containing End-of-Unit assessments will always have that noted in the title.

Like the Pre-unit assessment, you can find materials for the End-of-unit assessments in the Digital Resources area of the Lesson Brief.

On-the-Fly Assessments

These embedded assessments leverage the formative opportunities in the learning experience students are already engaged in, such as creating models, analyzing data, actively reading, conducting investigations, and more. Refer to the Critical Juncture section above for guidance on finding information about using them.

Unit-level assessment information

You can find overall information about an individual unit’s assessments in the “Assessment System” resource, which is located within the Teacher References section on the Unit Overview page.

The Assessment System resource contains a comprehensive list of all of the assessment opportunities in the unit, including the assessment’s location, a brief indication of what students are doing in that particular activity, what type of assessment it is, which Disciplinary Core Ideas, science and engineering practices, and cross-cutting concepts it specifically addresses, and the kind of evaluation guidance you can expect for it. If you are in a kindergarten or first grade unit, you will also find information on the Clipboard Assessment Tool (used for supporting oral assessment) in this section.

If you’re interested in focusing on information related to the unit’s Critical Juncture and On-the-Fly assessments in particular, check out the “Embedded Formative Assessments” resource, also located within the Teacher References section on the Unit Overview page.

Three-dimensional assessment connections

All assessment opportunities within Amplify Science California include clear labeling around the Disciplinary Core Ideas (DCIs), Crosscutting Concepts (CCCs), and Science and Engineering Practices (SEPs) to help teachers connect formative and summative assessments to specific NGSS dimensions.

Coming soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. In fact, on this page is a list of new features you can look forward to using during the 2023-2024 school year.

FAQs

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California and a significant number of the California English Language Development Standards and Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Amplify Science California does indeed feature some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional, cyclical, and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

Yes. Rather than separating performance expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain Disciplinary Core Ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and applied what they’ve learned in a different context.

For example:
In the Light Waves unit, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on Disciplinary Core Ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.

Just as scientists gather evidence from many types of sources, students in the Amplify Science California program gather evidence not just by making physical models, but also by making and interpreting digital models; reading texts; watching videos; and analyzing photographs, maps, and data sets. By doing do, students are provided with more opportunities than any other program to use all of the practices called out in the California NGSS Framework:

  • Asking questions
  • Developing and using models
  • Planning and carrying out investigations
  • Analyzing and interpreting data
  • Using mathematics and computational thinking
  • Constructing explanations
  • Engaging in arguments from evidence
  • Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K–5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6–8

Each 6–8 grade features three types of units: LaunchCore, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math, in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facilities with each of the grade appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built-in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, etc. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following time frames:
Lessons in grades K–1 are designed for 45 minutes of science instruction.
Lessons in grades 2–5 are designed for 60 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 minutes of science instruction every day at K–1, or 60 minutes per day at 2–5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K–2, and 88 lessons to address 100 percent of California NGSS at grades 3–5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Each lesson of every Amplify Science California unit includes point-of-use differentiation strategies and embedded teacher and student supports for diverse learners, including English learners, students who need more support, and students who are ready for more challenge. These strategies and methods ensure that all students have access to the same content as their peers.

Two notable categories of suggested modifications are:

  • English-learner-specific strategies such as English/Spanish glossaries, native language supports, and provision of cognates and other content-specific language scaffolds are provided in each unit.
  • Relatively small alterations and additional scaffolds that provide students with greater access to the content.
    These types of scaffolds benefit all learners and include suggestions such as providing graphic organizers, practice with multiple-meaning words, etc.

With Amplify Science California, the use of technology is always purposeful.

For example:

  • The curriculum has a strong emphasis on literacy, with students reading and analyzing informational texts, and writing scientific explanations and arguments.
  • Digital elements are gradually introduced to students in grades 2–3, with the greatest use of digital elements taking place in grades 4–5, as the phenomena at these grades become more challenging to observe directly.
  • The curriculum’s readers and interactive notebook pages are available in both print and digital across all K–5 units.

This curriculum addresses a significant number of the standards as they pertain to science. Throughout each unit, students read science texts, engage in science talk and argumentation, and write evidence-based science explanations. The curriculum supports vocabulary, language, and reading comprehension development. Students also use measurement tools with precision, record and analyze data, make sense of scientific phenomena, and develop solutions to problems experienced in the real world.

Digital questions

Teacher Support notes including sample teacher talk, student responses, pedagogical support, and possible student responses are provided within your student-facing slides. Simply click “Teach” and reference your private Teacher Guide tab. Students will only see the lesson slides that you are presenting.

You, the teacher, must “Start class” to launch the presentation tab. (Remember, without the presentation tab, students would be able to see your teacher notes.)

Clicking “Starting class” also brings students to the correct slide, which is particularly important for young students who are learning to navigate.

Teachers can either press the “End class” button in the bottom right corner of the slide navigation, or they can simply close the presentation tab.

Clicking “End class” also enables students to navigate through the lesson on their own. That means they’ll be able to return to slides and books to review content, to the Sims and Modeling Tools to replay them, or to notebook pages to update their work.

You can click on the “Student preview” option in the bottom right corner (within the menu that opens when you click the three dots) to open a new browser tab where you can preview the student view using your teacher account.

Any work you complete in this student preview (or elsewhere in the teacher experience) will be automatically saved to your account.

Looking for help?

For login or technology issues, please submit an EGUSD Heat ticket. For curriculum and pedagogical questions, please refer to the support resources below.

Powerful (and free!) pedagogical support

Amplify provides a unique kind of support you won’t find from other publishers. We’ve developed an educational support team of former teachers and administrators who provide pedagogical support for every Amplify curriculum, assessment, and intervention program. This service is completely free for all educators who are using our programs and includes:

  • Guidance for developing lesson plans and intervention plans.
  • Information on where to locate standards and other planning materials.
  • Recommendations and tips for day-to-day teaching with Amplify programs.
  • Support with administering and interpreting assessment data and more.

To reach our pedagogical team, use our live chat within your program, call (800) 823-1969, or email edsupport@amplify.com

Timely technical and program support

Our technical and program support is included and available from 4 a.m. to 4 p.m. PT, Monday through Friday, through a variety of channels, including a live chat program that enables teachers to get immediate help in the middle of the school day.

For your most urgent questions:

  • Use our live chat within your program.
  • Call our toll-free number: (800) 823-1969.

For less urgent questions:

Connect with other teachers

Our Amplify Science Facebook group is a community of Amplify Science educators from across the country. It’s a space to share best practices, ideas, and support on everything from implementation to instruction. Join today.

S4 – 01. Joyful math teaching with Kanchan Kant

Podcast cover for "Math Teacher Lounge," Season 4, Episode 1, titled "Joyful math teaching," featuring Kanchan Kant, described as a math educator and transformative leader.

This season on the Math Teacher Lounge podcast, we follow the theme “joyful math” and uncover its meaning.

In this episode, Kanchan Kant joins Bethany Lockhart Johnson and Dan Meyer to discuss the key, early investment she makes at the start of the school year to ensure her math teaching will be joyful for herself and for her students for the rest of the year.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer (00:00):
Okay, we are recording. Hey folks. Welcome back to Math Teacher Lounge. (laugh)

Bethany Lockhart Johnson (00:06):
Hardly off to a rocking start.

Dan Meyer (00:06):
Yeah. Yeah. <laugh> Did you like my energy there? Hey folks. Welcome back to Math Teacher Lounge. It’s a new season with your host Dan Meyer. And…

Bethany Lockhart Johnson (00:15):
I’m Bethany, Lockhart Johnson. How’s your summer Dan?

Dan Meyer (00:22):
Summer for me feels really hectic as we prepare, here at Amplify, for the new school year, and everyone’s starting these new math programs. So I’ve been feeling quite amped up, like usual in the summer. But also, my kids started big kid school. So I’ve been seeing the educational system from the role of a parent and all the anxieties and I worry, will I be my kids’ teacher’s most annoying parent <laugh> … So what kind of math curriculum you using? Oh, have you heard of core counting? Can I lead a math center? What’s this worksheet about? I’m really worried my kids are just overall gonna hate my vibe when I come around their classes. Uh, <laugh> so lots going on with me.

Bethany Lockhart Johnson (01:06):
It’s already happening for me and I have a toddler.

Dan Meyer (01:10):
<laugh> There we go. Anyway, that’s what I’m up to. That’s how I’m feeling. I’m curious how you’re doing. We haven’t chatted in a while. We’re excited about the podcast, but it’s been a bit, you know? Bethany got a break from me and my antics over the summer. So, how are we finding you here, as we ramp up to the new season?

Bethany Lockhart Johnson (01:24):
Uhhhh. Well, let me just tell you, I have a toddler. That’s kind of all I need to say. Except that’s not all I will say. Of course, I’ll say more. I am exploring, I’m dipping my toe into the extracurricular toddler activities; the music classes of the toddler world, the creative movement of the toddler world. And yeah, I have lots of opinions and lots of things to say about the teachers. And I’m like, Ugh, I can’t wait to be room mom. And just like…<laugh>

Dan Meyer (01:55):
Just let it rip, you know?

Bethany Lockhart Johnson (01:57):
I have opinions on everything and just hope I don’t get kicked out of the class.

Bethany Lockhart Johnson (02:05):
It’s been an eventfully recharging summer and we are ready for this new season. And in fact, we’re so ready that we decided that we were gonna mix up this season. Just a, just a tiny bit. Shall I explain Dan?

Dan Meyer (02:21):
Yeah. Let’s do it.

Bethany Lockhart Johnson (02:22):
So we have loved all the different topics that we have explored in the Math Teacher Lounge world, but we kind of feel like we need to do some more deep dives. So for this season and the foreseeable seasons …

Dan Meyer (02:38):
We’ll see how it goes.

Bethany Lockhart Johnson (02:38):
Let’s stick with this season. For this season. We’re going to be exploring a singular theme.

Dan Meyer (02:46):
We’re not bouncing around. Yep. We’re not bouncing around from a guest to guest going on whatever shiny thing in the river bed catches our eye. We’re gonna take one theme and see where it goes. What we working with here this season?

Bethany Lockhart Johnson (02:57):
This season, we are going to be exploring the idea of joyful math, joyful math. And Dan, the question I have for you is, is the term joyful math one that you use on the regular?

Dan Meyer (03:10):
No, it definitely is not. I think that joy and math are very rarely, you know, connected in the popular mind. Number one, and number two, you know, I’m kind of an ornery fellow, so that’s not my natural kind of description of math. But we decided that it feels like an important one at the moment, because a lot of math teaching–a lot of teaching in general, math teaching in particular–math teaching is often not a joyful discipline for students, where, you know, I’ve done some research where you look at what people type into Google. And I looked at like, what they…why am I bad at X? And I looked at that for where X is math, where it’s science, where it’s reading, where it’s history. And it was just wild to see how many more hits there are out there on the Internet for “why am I bad at math?” People don’t really associate math with joy, but also we’re looking at joyful math in terms of joyful math teaching. Math teaching, teaching in general, is a tough field at the moment with a lot of teachers leaving teaching. And those who remain are having a lot of soul searching and thinking about, why am I here and how do I sustain this work? And in an environment that seems hostile to my interests or my talents, or work-life balance. And so that’ll be the theme that we’re gonna kind of uncover over the course of our season, talking to various interesting guests, including one today about, yeah, joyful math teaching and joyful math.

Dan Meyer (04:43):
And to help us think about what joyful math teaching looks like, we figured we’d first look at what UN-joyful math teaching looks like. It happens to be the case that we’ve been in a pandemic as you might be aware, and teaching has been challenging. And the NEA, our National Education Association, surveyed its member teachers and asked them the following question … Gave a list of issues that school employees have experienced and asked, for each one indicate how serious of a problem this is for you. This is a survey where more than half of members said they are more likely to leave or retire sooner than planned because of the pandemic. And this is almost double the numbers from July, 2020. It’s really hard to keep track of teacher departures and unfilled vacancies across states. So I don’t wanna like blow this up out of proportion, but it does indicate some real challenges in teaching. So Bethany, I was curious, what do you think like at the top of the list, like what kinds of factors, issues facing educators would you imagine there are?

Bethany Lockhart Johnson (05:48):
So if I’m to understand you correctly, these are reasons someone is not actively experiencing joy in the profession of teaching. Like why would they leave?

Dan Meyer (05:58):
Exactly.

Bethany Lockhart Johnson (05:59):
Well, the number one thing that came to mind for me, well, okay. Wait, wait, one other caveat I need to ask about, you said specifically pandemic-related or just in general, because if it’s pandemic-related, then I think, well, there’s health issues, right? That people are concerned about, but in general, the thing that came to mind was a lack of support from administration districts, lack of funding, and overcrowding in classrooms. Like, you know, I saw somebody had 40 students in their classroom. So those are the two things that I can imagine like top on someone’s list that would make them experience less than a joyful day.

Dan Meyer (06:44):
Yeah. There’s a bunch of you’re kind of identifying here. So number seven on the list is lack of respect from parents and the public, which is like 76% of teachers call that out as serious for them. Others that you kind of circled around in terms of resources go like, not enough planning or unstructured time in the job kind of ties into resources. Yeah. But there’s others that are on the list that I’m curious, you wanna take on the swing at it, given what I’ve said here,

Bethany Lockhart Johnson (07:15):
I feel like too much being asked of them, like being asked to wear too many hats, like they’re being asked to not only teach their class, but also cover all the vacancies and supervise recess and, you know, make a delicious, nutritious lunch. That’s what came to mind. Am am I close?

Dan Meyer (07:33):
Yeah. Number four on the list, unfilled job openings leading to more work for remaining staff. People covering, you know, not just the kind of external to teaching work like you’re describing, but also just taking on like losing your prep period, to take on a class that has been unfilled for all kinds of reasons. Yeah.

Bethany Lockhart Johnson (07:54):
Yeah. I’ve only gotten the fourth. Give me one clue, one clue about …

Dan Meyer (07:59):
So, I mean like, so number one is general stress from the coronavirus pandemic, you know, which I feel like …

Bethany Lockhart Johnson (08:06):
I mentioned that.

Dan Meyer (08:07):
I’ll give you that one. Yep, yep, sure. And then number two, close behind, is feeling burned out, which I think ties into what you’re describing as well. I’m giving Bethany credit on that one. The third one is very different from the ones you’ve been describing. I think I cannot in good faith give you even partial credit for this one. I’ll just say it. Student…

Bethany Lockhart Johnson (08:28):
Wait! Dan, this is not how you give clues.

Dan Meyer (08:31):
Here’s a clue. It’s student absences due to COVID19. It’s really hard to deal student absences. That’s your clue.

Bethany Lockhart Johnson (08:40):
That wasn’t a clue that you told me.

Dan Meyer (08:43):
Yeah, let’s see. I think that’s largely it. There’s also pay is too low, is on the list; student behavioral issues, on the list. And I think that about covers it. So all of that, that basket of items has led to more than half of teachers in this survey, saying that they’re more likely to leave or retire from education sooner than planned. And I don’t know. I think we all know teachers who have bailed.

Bethany Lockhart Johnson (09:08):
I’ve never played a board game with you, Dan, but if we ever play a board game, we’re gonna work on your clue giving, ’cause I want to keep guessing. And you just told me.

Dan Meyer (09:22):
Yeah. Yeah.

Bethany Lockhart Johnson (09:22):
In all seriousness, the <laugh>. In all seriousness, I think yes, the stress of the pandemic and students being absent, what some folks are calling unfinished learning, all of those pieces do play into it. But a lot of those things that you’re mentioning on the list are things that are not unique to the pandemic, right? Like those are things that I feel like there is some modicum of control that we could have over shifting the way the culture of the teaching profession is going so that we could create a more joyful experience for educators, administrators, and students.

Dan Meyer (10:03):
Yeah. Good call out. That’s exactly right. We could tax the people who are not in the classrooms more and increase the pay to classroom teachers. You know, there we go.

Bethany Lockhart Johnson (10:11):
Oh. Bingo. Why didn’t we ask you sooner Dan, for your wisdom.

Dan Meyer (10:15):
Yeah. I’m … solved by Dan. Yeah, good point though. So I read that and yeah, I think that there’s been some … people have critiqued the NEA for being very alarmist about teacher departures as the year has ramped up. It has not been quite the flood of departing teachers as was predicted and thank heavens for that, but we should still be very bummed if teachers are unhappy and wanting to leave and feel like they can’t leave. That is definitely not good. So we were really excited to bring to the table, someone who is just a very joyful teacher and one in a very intentional way. Someone who has a lot of discipline in how she approaches the job and the students in it and tries to create a joyful environment for herself, Kanchan Kant. Kanchan is a math and computer science teacher at Newton North High School in Newton, Massachusetts. She’s been sharing her love for math with her students for the past four years, while also being instrumental in setting the culture and ethos of the math department at her school in her role as the assistant department head. We welcome you on the show Kanchan to help us understand joy and math teaching. Thanks for being here.

Bethany Lockhart Johnson (11:29):
Welcome!

Kanchan Kant (11:30):
Thank you for having me. I really appreciate it.

Bethany Lockhart Johnson (11:33):
One of my friends, her son was asked as his first math homework assignment to write out his math bio. And I loved that idea because we got to hear a little bit about your bio from like a broader perspective. But if we were to ask about your math bio, I will speak for myself to say like, automatically certain images flash into my mind, right? To think about my relationship, my evolving relationship with math. But I’m so curious if I was to ask you, what’s your math bio? How did you become the person, mathematically speaking, that you are today? Would you mind sharing a bit about that?

Kanchan Kant (12:10):
Of course I would love to. So I was born and raised in India and I belong to a family which considers mathematics to be extremely important to succeed in life. My father used to have me add and subtract license plates since I was four years old, when we were out and about. I loved math in school, it just made like complete sense to me. It was logical and you know, it was my favorite subject. I loved it all through high school. I had a confidence speed breaker in undergrad. When in my second semester I almost failed the engineering math course that I took. That was the first time math felt like too much and not like my best friend, which it was supposed to be. So it was a while before I could summon the courage to take on another math course in college.

Kanchan Kant (12:56):
But once I did that, it was like old times. I realized I had to persevere through the challenging bits. And once I did that, it started to make sense again. And through my journey, as an educator speaking to people from various backgrounds and like coming to the United States, I realized that math is challenging for everyone at one time or another. For some people that is elementary school. And for some others, it is college or even later. Either way does not mean that you are not a math person. When I was in college, I felt I was not a math person. Whereas my sister, my very own sister said the same thing about math in middle school. Both of us use math every day. And we are definitely, definitely math people. So for me to be a math person is to persevere, to approach problem-solving in a logical manner, and to find the joy in the process ,as well as the answer.

Dan Meyer (13:47):
That’s wonderful. Yeah. A lot of people, have a moment where they feel like almost betrayed by what they thought was a close friend of theirs, with math, where it’s like, wait, I thought we were tight. You know, I thought we were cool. You and me. And there’s that moment. And I wonder if that’s been a useful moment for you to, you know, bring back now and then as a teacher with students who might feel that even, you know, in high school or in a secondary school as a kid.

Kanchan Kant (14:15):
Absolutely. Like when I talk to students and tell them, yes, I had difficulty in math too. It has not always been easy for men and there are still things I struggle with sometimes, then it’s like more modeling for them that you have to persevere, you should persevere. And once you do that, it makes sense and you can feel successful. So, almost every year I end up sharing the story with my students.

Bethany Lockhart Johnson (14:38):
There’s so much value in that, right? That you are sharing that vulnerability with students. And to say your relationship with mathematics has not been, you know, smooth sailing the whole way through. There were times when you had to work harder than others.

Dan Meyer (14:55):
Yeah. Really fun to hear about you and your father as well. I tried to ask my five-year-old to do some skip counting the other day, like, okay, cool, you’re hot stuff. You can count, you know, up by ones, but what about by twos? And the moment really fell flat. And I watched myself becoming the kind of parent who is whose enthusiasm for math is one day resented by his children. I feel a lot of, yeah, I felt your anxiety Kanchan, with math itself. And now I feel anxiety as like someone who loves math and loves to teach math and may one day alienate the people closest to him. <laugh>

Kanchan Kant (15:31):
I don’t like that future. I have a three-month-old. I do not like this future of mine. If I have to go through what you’re going through. Uh, oh, <laugh>

Dan Meyer (15:38):
You got this. So Kanchan, you’re going back to the classroom coming up here at the time of this recording. It’s a few weeks out. And we’re thinking about like the kind of ways that math teachers sustain a disposition that is joyful. How are you feeling right now, as far as going back to class after this summer? Are you feeling excited, anxious, some combo, tell us about it.

Kanchan Kant (16:01):
I would say combo, but more excited than anxious. I was on maternity leave, as I mentioned, before the school year ended, and I missed the students dearly. Like, my students are what gives me hope in the darkest times. They are thoughtful. They’re empathetic. They’re so eager to learn. And very soon into my teaching career, I realized that if I take the time to get to know my students and make them feel safe and seen in my class, teaching them math would be so much easier and so much more fun. So I’m a little worried about this being like fourth year into the pandemic, but let’s see. Last year I felt the students were finding it difficult to interact with and work with their classmates because they had not been doing it for so long. So I’m hoping this year would go a little better and I’m really looking forward to working with them and building community and see how it goes.

Dan Meyer (16:53):
So if I’m understanding you correctly, you are feeling very well recharged here. You had basically an extended summer with this maternity leave, basically just like a lot of rest and relaxation over the last, like several months. Um, if I get you here. So anyway, I’m glad for that for you. And, yeah. I also hear you on the difficulties of teaching post pandemic or mid pandemic. Anyway, thanks for sharing that.

Bethany Lockhart Johnson (17:19):
What I love is I hear you being so intentional, like thinking about those relationships and thinking about that community that you want to build, you know? How do you hope that you’re gonna cultivate joy in your teaching this year? I mean like, are there certain routines or disciplines that you specifically call forth or that you think other teachers should think about?

Kanchan Kant (17:41):
So at the start of every school year, I dedicate like about three to four weeks to set up the classroom culture, both social and academic. I call my classroom a learning community. We start with community circles, we do icebreaker activities, group building and all those kinds of things. But most importantly, we do a lot of collective problem solving. So I try to present students with problems, which can be solved using multiple strategies and have multiple entry points, basically they are low floor, high ceiling problems. These could be stretch problems that they have seen before, like concepts that they already know or logical puzzles, or just wrapping their heads around different problems. Then I have students share their strategies. The more strategies they have on the board, the more successful I think the problem was. Every year, inevitably, students come up with strategies that I’ve never ever seen before for the same problems that I do.

Kanchan Kant (18:35):
And so I have students come up to the board, they would share their strategies. If they’re not ready for that, they would walk me through their strategies. And I would write their name on the board with different colored markers and everything. Basically to give them choice and agency. It also shows them that the process of doing the problem is so much more important than just getting the right answer and that it is okay to make mistakes in our learning community. I use a lot of vertical whiteboards, some concepts and problems align so well with the vertical surfaces, especially when students can explore together, learn from each other. So I do a lot of that. As for routines, I would say consistency is the key. I consistently reinforce that I want to hear multiple strategies, that it is okay to make mistakes. I am willing to learn from you as much as you’re willing to learn from me. So all like that consistency in culture more than the routines, is I feel important to bring that joy.

Dan Meyer (19:29):
That’s super interesting. Thanks for that. So I’ve heard, I hear two common objections or two common concerns to using rich tasks or doing problem solving. And I think I heard like answers to those two common reservations within what you described there, but I wonder if we can kind of bring it to the surface. And so one of the reservations is around the time that those problems take and another is that teachers often feel like, well, I might be surprised, you know, I might not know what to do with what a student does. And I thought I was hearing like some very interesting answers to both of those kinds of reservations from you, but would you just surface those up if you have some.

Kanchan Kant (20:09):
So in terms of time, I feel if I spend the time at the beginning of the year, setting up that community and doing those problems, it makes learning the math and learning the concepts much more faster throughout the rest of the year. And even when I am trying, like, even throughout the year, if we are doing a warm up problem, as I call it, which has multiple strategies, that’s gonna clarify so many more concepts when we talk about those five, 10 strategies of doing the same problem, then going through multiple problems to clarify those concepts. So for me, it actually saves time instead of taking more time.

Dan Meyer (20:43):
Hmm. That’s super interesting. It’s an investment I’m hearing from you that, yeah, you might not be hitting the curriculum quite as hard early on, but that all of a sudden you’re in the spring and it’s like, oh wow, we’ve been moving so much faster through territory that has been more challenging. What would you say to you know, comfort concerned educators or to address the concern that I don’t know what I’ll do with these five, 10 different strategies. You say, I always see strategies that I’ve never anticipated. Like, it’s a good thing, you know, like you’re happy about that. I think that’s a very intimidating thing for lots of educators. What would you say to that?

Kanchan Kant (21:19):
I think like, for me, it’s a good kind of discomfort. That means like a student is teaching me something, which is actually doing two things. One modeling for them that I’m willing to learn and that I don’t know everything. And two, also telling them that they’re mathematicians. They know what they’re doing. They’re not just receivers of math, they’re actually creating it. So for me, that is very, very important.

Bethany Lockhart Johnson (21:43):
I love that so much. When you think about your students and you’re about to start this new school year, how do you hope your students will experience math in your classroom?

Kanchan Kant (21:53):
So I hope my students can see the beauty and joy of math. They can see that math is a way to see the world and not as something we have to do to get through school. So my hope for my classroom is that we can learn to problem-solve and persevere through problems and learn from each other and not just get through the curriculum. Because like, I think math is a wonderful way to learn these skills, which are so important when you get out of high school. Most importantly, I just wanna make sure that my students see themselves as mathematicians. And like one of the things that like I have to share with you that, because one of my highlights for the year has to be the Desmos art project. I do it every year for the past three years, I think since I’ve started teaching sophomores. And I do it as a unit assessment for functions and my students design something that is meaningful to them, using all the different kinds of functions and colors and shading and everything that you can think of in Desmos.

Kanchan Kant (22:49):
Thank you so much for that though. It is such a cool way for me to see them do that. Like I have seen such amazing creations. One of my students once made a scaled working model of a solar system wherein the planets were rotating at relative speed. The Saturn had rings and they were like asteroids and everything. And then it was beautifully done. Then there was another one who did a very, very detailed whale scenery, her reasoning. I wanna be a Marine biologist and I wanna study whales. So this is what is meaningful to me. So like that one project is just a culmination of everything that I want students to see in math and in my classroom. And like I do more of those kinds of things, but that is one thing that it’s one of the highlights of my year.

Dan Meyer (23:32):
That’s awesome. I love hearing that. Yeah. Shout out to the team at Desmos Studio for building and continuing to develop a tool list that so good for art and animation, even, in addition to some mathematics with a more computational kind. Yeah, that’s really exciting. What’s interesting to me is that you teach high school, and I think that like students at that age have a very well-defined sense of what math is and who they are as mathematicians. And then along you come, you know, and like offer this really interesting disruption, you know, in their sophomore year of high school that like, oh, this can be totally different, this relationship who I am. And that’s just really exciting. I imagine it’s a very surprising year. I would imagine that first month, I would imagine is a very surprising month for a lot of your sophomores.

Kanchan Kant (24:20):
Yeah, it is. I mean, that’s why I take that time to build that community because then that sets the tone and the relationship that we’re gonna have for the rest of the year. Students get to know how to work with each other. They get to know each other, that whole piece is like super important because of that.

Dan Meyer (24:35):
Yeah. That’s awesome. So here’s the thing, like we’re exploring these ideas about joyful math teaching and what it will take to cultivate restore, reclaim joy in math, teaching this next year. And you’ve offered us these really interesting ideas some, some very, you know, philosophical and some technical about how you spend time in ways that lead to joy in the spring for you and your students. Love that. We don’t want to as hosts, as researchers, investigators of this joyful math teaching idea, we don’t wanna say it’s all up to teachers to change their mindset, to do different technical practices, and that will lead to joy. We also wanna be really attentive to the environment that surrounds you, the people who are around to support you, the policy makers, the social structures that influence your joy in very significant ways. So what we would love to know from you is, how are you supported by the greater educational community in keeping your joy in your work? I’m thinking, especially about administrators, you know, front office, staff, parents, even, can you name a few ways for those sorts of people who listen to this podcast, how they can cultivate a math teacher’s joy this coming year?

Kanchan Kant (25:54):
I would say trust. I think more than anything, educators want administrators, parents, the greater educational community, to trust them to be professionals and experts in what they do. That does not mean that we don’t want to learn, that we don’t want feedback, that we don’t wanna get better. It just means that we keep the wellbeing of our students as our top priority. And we would like to be trusted to do just that. Also just keeping in mind that whether we like it or not, we are still adjusting to the new normal while recovering from the worst of the pandemic times. A lot of us are recovering from trauma, a lot of our students are recovering from trauma, and we need time and space for our social and emotional wellbeing.

Dan Meyer (26:35):
Yeah. I’m really curious, Kanchan, you’ve done a lot of work in your area with your grading team and in thinking about equitable and biased resistant instruction. I’m curious how you see those efforts lining up with creating joyful math learning conditions for all students, not just students from a dominant culture of math doing, let’s say.

Kanchan Kant (26:55):
For me, creating an equitable environment in a classroom is most important because once you have that, that’s when you have the relationships, that’s when you have the culture, that’s when all students actually thrive. So to that end, our school and our department has been doing a lot of work around grading practices. We actually assess how we grade students, where the bias is, what we can do to make them more bias resistant. Should we move to mastery based grading? Like that’s something I’ve been experimenting with for the past two years. Through the pandemic, I started doing mastery based grading so that my students can get more opportunities to show that they have learned the content. And so like just little things which help bridge the opportunity gap. I would say another project that our school undertakes is called the calculus project wherein we have students in Black, Latinx, and low income families sign up for that and are recommended for that. And then we do summer classes and yearlong support to preview the material for next year, not as a remedial class, but to actually set students up for success in AP classes for the coming year. So we have the community buildup. We have the courses we have like math support. It’s a very beautiful thing actually. And I’ve been working with that program for four years now. So yeah, so those are my ways of creating more equity in our school.

Bethany Lockhart Johnson (28:19):
That’s so beautiful and I deeply, deeply wish you had been my high school math teacher. And I have to say that the theme that I kind of keep hearing is this intentionality. How you are so intentional about your work, not just with what your students are learning, but how they’re learning it, how they are engaging with this subject and how they are building their own relationship. You talked a little bit about your relationship over the years with mathematics, but how are your students building that relationship? And so I’m just very appreciative of you sharing that with us and with our listeners. And we are so excited to have learned a little bit about, like, I feel like I got a little mini peek into your classroom.

Kanchan Kant (29:03):
Thank you.

Bethany Lockhart Johnson (29:04):
And can I say that if you are listening to this prior to October at NCTM Los Angeles, you will get to hear Kanchan Kant speak at Shadow Con. Can I give that away, Dan? Is that, is that …

Dan Meyer (29:23):
You can drop that. Yeah, It’s pretty top secret.

Bethany Lockhart Johnson (29:26):
Can I drop it?

Dan Meyer (29:27):
Yeah. Do it. Yeah.

Bethany Lockhart Johnson (29:28):
Dan and I will be in the audience cheering you on. It’s been a joy to learn with and from you, and we are so excited to just, you know, kind of keep marinating on some of these ideas about how we can continue to be intentional about creating joyful math spaces for our students. Thank you so much for joining us today.
Kanchan Kant (29:49):
Thank you so much. It was a real pleasure.

Dan Meyer (29:57):
So Bethany, I loved hearing Kanchan talk about both her, just her joyful personality, but how she cultivates joy through craft and technique through, you know, through the various ways she interacts with students in intentional ways, that those make the job more joyful for her. And I thought it was really interesting to hear her talk about how autonomy is the thing that she needs most in her job environment to feel like she can be joyful in her work. In that context, I saw … something on Twitter popped up for me in my, you know, my many Twitter wanderings. This is a segment we might call, Dan finds something on Twitter and shares it with Bethany. Which we’ll tighten that up a little bit, but I’m sending this over to you right now, and I’d love to know as you check this out, what you’re seeing and what you’re thinking and we’ll chat about how it relates to our interview here in a moment.

Bethany Lockhart Johnson (30:47):
All right. I’m ready, send it over. It’s opening. So this appears to be a document by the way, outlining, maybe it’s a district, maybe it’s administration, they’re outlining expectation type and expectation guidelines. Hmm. Okay. And these are lesson plan expectations. Expectation type. Timeliness. Plans are due no later than 6 p.m.. Friday prior to the week of instruction. Comprehensive, all activities for the week for all subjects taught should be included and complete by due date and time. Plans should have at minimum, the following, see template for detail. Okay. So then it goes through the things that the plans need to have, the topic title, target, the objective, the activities, the sequence, the display agendas to be displayed backward design. Okay. So basically <laugh>, we were just talking about, overwhelm. And when I see this document, listeners, have you ever received something from your administrator or anyone, let’s take it more broadly, that is requesting something of you that would take so much time to complete and be so out of touch with your lived reality that it really genuinely sucks the joy out of the experience.

Bethany Lockhart Johnson (32:25):
So the first thing that I see that this document, and again, the goal of whichever district’s plan this is, is that these expectations will lead–now, mind you, I am a fan of like, you know, looking ahead, I’m not a like, oh, hey, what am I gonna teach in five minutes? No, but the idea that then it lays out all of the things in such detail that you’re gonna be teaching feels like one of those pacing guides where, oh, move on to the next page, whether or not your students have any sort of sense making whatsoever. So my first thought is, oh, sad. I have to stay here. I’ll be there past 6 p.m. But I’m gonna be there trying to make the plans for the next week based on what I think my students have learned. Hmm it’s sounds like a little bit of a bummer. Dan, what did you think when you saw this and did I do a fair description of what it is?

Dan Meyer (33:25):
No, it’s, it’s a tough one to describe, ’cause it’s basically a wall of text and commands from an administrator who like, I just have to imagine has just like acres and acres of teachers trying to beat down their door to teach at this school, if this is how you’re gonna treat your teachers. I mean just, yeah. The idea of having a week… I’m with you, you don’t wanna just like, just jump in by the seat of your pants, but the idea of having a full week of lessons for every section you teach, every prep you teach, planned and submitted with every minute, basically morseled out to different goals. It says down here, you gotta like, for all of these, download a CSV of grades and whatnot and attach those. It’s the sort of thing, like you said, there are some edicts that you get from administration where you just have to laugh or just like, you have definitely missed like what I am willing to do here. It’s so far beyond. Yeah. I can’t imagine it. And it just felt like, yeah, it was a great way to get teachers like Kanchan to feel like a real lack of autonomy. Like it’s this would not work. I don’t think.

Bethany Lockhart Johnson (34:33):
And it’s not even like willing to do. Like, let’s say you’re even willing to produce it. Let’s say that me, the rule follower is like, okay. I’m gonna attempt to meet these demands. One, most teachers were just, you know, they probably would put baloney down there anyway. Not saying that I would, but I’m saying like, it’s clearly just a hoop that they’re having to jump through and two…

Dan Meyer (35:04):
Yeah. Compliance, right?

Bethany Lockhart Johnson (35:05):
Yeah. Compliance, compliance. There you go. And two, yeah, it feels like it’s about control and not trusting the teacher. And I love that. Kanchan said that trust is what she needs. Right? You’re hiring me. Yes. I still have lots to learn, but you’re trusting me and you’re creating an environment where I can continue to learn from and with my students. And if I was being asked to submit this tome every Friday before six, that is predicting, what does it say, anticipating the steps necessary for student mastery? You know, I kind of feel like maybe it’s like that one or two teachers where maybe they feel like, oh, I don’t trust that teacher or that teacher isn’t doing a good job, whatever. We better do this for all of the teachers, but then it’s not gonna change the practices of that one teacher and all the other teachers are gonna be resentful.

Dan Meyer (36:00):
Like if there was like feedback that came back to you on, you know, on lesson plans or there was some like something that was very constructive or productive, like maybe that would be different, but it really just feels like these are gonna go into a digital drawer somewhere and not be looked at, at all.

Bethany Lockhart Johnson (36:15):
Yes. The digital drawer. Like I’m gonna send you this report and then nothing is going to happen with it. Except that four hours of my time. Well, you wouldn’t do it, but <laugh>…

Dan Meyer (36:29):
You’ve worn me down. You’ve worn me down. I’m now putty in your hands and more compliant for the next thing. And I also just wanna shout out the administrator today, who I emailed asking about like a teacher participating in a project and this administrator said, I have a standing policy not to email teachers over summer break, which you know, as administrators out there doing just the good work, you know, trusting teachers, watching out for them, trying to be a force multiplier for teachers, making the road wider, the way easier for teachers. So shout out to y’all doing the out there. Really appreciate that.

Bethany Lockhart Johnson (37:04):
Okay. Wait, wait. About that email thing, quick question. Did you ever check your email over the summer?

Dan Meyer (37:11):
Uh, yeah. That’s one way in which I was the, you know, I just love email, you know? Oh. Someone wanted to reach out. Oh, oh, Banana Republic wants to tell me about new clothes that are on offer. <laugh> I mean like, it’s just, I love those personal emails. So yeah, I did check my email over the summer.

Bethany Lockhart Johnson (37:26):
Somebody emailed me recently and they emailed me at like two in the morning. And because I currently have a toddler, I received the email at four in the morning because you know, the best thing to help myself fall back asleep is to hop on my phone, right? Like I’m already up trying to get my toddler back to sleep. I might as well start scrolling. Anyway, so the person had this little thing at the bottom of their email and it said, I have, something to the effect of, I have really like wonky work hours. I may be sending this outside of the like more standard nine to five. But please don’t feel pressure in any way to respond outside of your time. Would you appreciate that, seeing that or does it make you feel like you should respond? ‘Cause I almost responded at four in the morning, and maybe that says something about …

Dan Meyer (38:15):
They’re telling you not to respond.

Bethany Lockhart Johnson (38:16):
I know it was helpful.

Dan Meyer (38:18):
It says don’t, but you’re like, what if they’re saying that because they really expect me to respond and this is one of many ways that you and I are different. I’m always happy to see that.

Bethany Lockhart Johnson (38:29):
Do you respond? I’ve texted you in the evening because you know I have some wonky hours. Do you respond to things, like where’s your boundary there? Or when you were in the classroom, where was your boundary there? Did parents have your phone number?

Dan Meyer (38:43):
No. I gave kids my cell phone number for a couple years and it was a wobbly experiment. But parents will email, you know, back and forth with you. And I think the best thing to like … I love just like adding some friction, some latency into the kind of the chain, you know, like I hate going like back and forth, like da, da, da, da, and then like respond and then da, da da respond. And it just like goes back and forth. So just like just sitting back for an hour or two hours, you know, not responding, just let someone cool down, calm down. Email just gets you more email. That’s like if you send an email, you are just making it more likely to get more email. It’s a, you know, it’s a problem.

Bethany Lockhart Johnson (39:20):
Are you one of the zero people?

Dan Meyer (39:23):
My inbox is at zero. Most days before work.

Bethany Lockhart Johnson (39:26):
You’re joking!

Dan Meyer (39:28):
I end work every day with inbox, at zero.

Bethany Lockhart Johnson (39:31):
You’re joking!

Dan Meyer (39:32):
That’s just, you know.

Bethany Lockhart Johnson (39:33):
Who are you?

Dan Meyer (39:34):
You know, you should take my life coaching, Bethany. I’ll give you a discount since we’re math teacher, lunch pals. But, um yeah. I can help.

Bethany Lockhart Johnson (39:44):
Thank you for qualifying where our pal-dom lives. I wouldn’t even tell you how many are in my inbox. Point is, if you are actively starting the school year, we celebrate you and we are here and over the next few months, we’re gonna be diving into joyful math and that definition’s gonna keep evolving. But I wanna say something that is making me feel a little joyful, Dan. You ready?

Dan Meyer (40:15):
Tell me.

Bethany Lockhart Johnson (40:16):
You and I, in person, at NCTM, the National Council for Teachers and Mathematics. It’s coming up and we are going to be recording Math Teacher Lounge, live. Live, in person! And I hear there’s gonna be like a t-shirt cannon and there’s gonna be, you know, like musicians marching through the aisles or something.

Dan Meyer (40:46):
A marching band?

Bethany Lockhart Johnson (40:46):
A marching band!

Dan Meyer (40:46):
Trained animals. Yeah.

Bethany Lockhart Johnson (40:48):
But the point is, I’m so excited, Dan. And you know, when I see you, I might just, it’s been so long since I’ve seen you, Dan. I’d love to give you a big old embrace.

Dan Meyer (41:04):
You might just, you might just cry. Yeah. Yeah. It’ll be great. Yeah. It’s gonna be awesome for you folks to see me and Bethany have a real awkward first hug since the pandemic. And, uh, but it’s gonna be a blast to hang with us in person. We’ll have some special guests, probably, some interesting segments. You folks should stop on by at NCTM, if you’re gonna be there. Highly recommended.

Bethany Lockhart Johnson (41:29):
Now, we will be broadcasting that episode. You’re gonna get to hear … we’re gonna record it live. It’s gonna happen. In the meantime, you can find us at MTLshow on Twitter, or you can find us in our Facebook group, Math Teacher Lounge. We can’t wait to hear from you. And we’d love to hear what makes math joyful for you? Where can we add a little bit more joy to you this, this season? So thrilled to be back. Thanks for listening.

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What Kanchan Kant says about math

“Creating an equitable environment in the classroom is most important because once you have that, that’s when you have the relationships, and that’s when all students actually thrive.”

– Kanchan Kant

Meet the guest

As a math and computer science teacher at Newton North High School, Newton, MA, Kanchan has been sharing her love for math with her students for the past four years. Kanchan is instrumental in setting the culture and ethos of the mathematics department at her school in her role as the Assistant Department Head. Kanchan also leads the Math Department Grading Team and has been instrumental in making grading policies which are more equitable and bias resistant. In her new role as a Transformative Leaders of Massachusetts Fellow in collaboration with Springpoint and Barr Foundation, Kanchan looks forward to making equity and joy of learning the foundation of many more classrooms.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Welcome, Florida middle school educators!

Amplify ELA Florida is the program built for Florida middle school teachers and students. We designed the program to help ensure the B.E.S.T standards are covered; the skills are taught; the test is prepped for; and your students are scaffolded and encouraged. We want you to spend your time bringing the text to life, making the classroom hum, and letting every student know you are paying attention to their growth.

Amplify ELA Florida Program Guide

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Instruction matters

Florida’s new standards have been crafted to give your students the B.E.S.T. Amplify ELA Florida’s lessons explore the most compelling aspect of a text and target the standards that best support that analysis through reading, writing, and communication. These key standards are identified as the lesson’s Spotlight benchmark.  Strategic connections are attained in the program through:

  • Florida model texts including rich literature and compelling non-fiction, taught in engaging new ways for today’s learners.
  • Benchmark stacks that build connections within lessons and across units.
  • Foundational instruction that targets key standards and multiple learning modes.
  • Writing that builds directly from reading complex text and is evaluated by Amplify’s Automated Writing Evaluation (AWE).
  • Reading with the B.E.S.T. Modules have been built to guide teachers and students as they begin to work with Florida’s new reading standards, providing an introduction to each grade-level B.E.S.T. Reading Benchmark. (Example module: Grade 6, Understanding Rhetoric)

Knowledge matters

Texts in the Amplify ELA Florida Edition curriculum cover a wide range of topics, themes, and genres with differentiated supports that ensure that all students can work through each reading and lesson. Taken as a whole, the texts show students a diverse picture of the world and help foster a lifelong love of reading. Comprehension develops as students engage with literary and informational text selections that are complex, rich, and meaningful. 

Texts were selected for Amplify ELA Florida Edition using the following criteria: 

  • Text complexity as defined by qualitative, quantitative, and reader and task measurements as required by the B.E.S.T. Standards and the Amplify Text Complexity Index
  • Balance of literary and informational texts
  • Varied representation of genres: novels, plays, poetry, biographies, and other full-length texts
  • Diverse cultures, perspectives, and authors
  • Engaging texts that extend learning and support students as they build knowledge
  • Grade-appropriate texts, with scaffolding and compelling activities to support student engagement with 100% authentic texts
  • A library with more than 700 complete books, both classic and contemporary, encompassing a wide range of genres, topics, and cultural perspectives
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Curriculum matters

Amplify ELA Florida is a blended curriculum designed specifically for grades 6–8. The heart of every lesson is the text. Each grade includes six units centered on literary or informational texts, delivered in several forms of media. Your classroom will also benefit from two or three immersive, project-based experiences and a dedicated Story Writing unit.

  • Full B.E.S.T. coverage: Standards are clearly labeled in each lesson, so teachers can save time planning and get back to what they love: teaching. Also included are Benchmark Modules that support teachers’ and students’ introduction to the new standards for Florida.
  • Five levels of differentiation: Based on each student’s needs and the performance measures within Amplify ELA reports, a teacher can choose the differentiation level that’s the right fit for everyone.
  • Embedded Assessments: Teachers benefit from uninterrupted instructional time and a continuously updated picture of each student’s progress with key skills and standards.
  • Powerful feedback tools: Comprehensive tools help teachers maximize both the quantity and quality of feedback.
  • Robust reporting: Our reporting app offers information on student progress to help inform instructional decisions.

All in one place: Embedded teacher support, differentiation tools, student data, text, and other curriculum features—they’re all right there.

Materials

Amplify ELA Florida Edition is a blended curriculum that seamlessly integrates print and digital resources to be used in any learning environment. The resources are designed to facilitate instruction for planning, teaching, learning, and assessment.

Student materials

Available digitally and in print, the student materials guide middle schoolers through complex texts and writing with the following:

  • Student Edition will engage students with high-quality narrative and informational texts.
  • Digital experience will provide videos, a library of more than 700 texts, audio supports, and other online experiences that capture their attention.
A laptop displays a web page titled "read like a movie director, part 1" from amplify ela, featuring text and an eyeball image under the lesson tab.
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Teacher materials

Available digitally and in print, the Teacher Edition contains all of the information teachers need to facilitate classroom instruction, including:

  • From detailed lesson plans.
  • Video teacher tips embedded in the lesson.
  • B.E.S.T. standards alignment and assessments including exit tickets.
  • Real-time differentiation strategies.
  • Clarify and Compare lessons.
  • Robust reporting.

Professional learning

Amplify employs a national cohort of more than 50 ELA facilitators, all of whom have experience as former classroom teachers and many of whom are former school and/or district leaders. Our professional learning team has decades of experience working with large districts across the nation. Amplify has experience supporting district launches over multiple years and has partnered with districts of all sizes nationwide. We partner deeply with districts and tailor professional learning to their unique needs.

Florida ELA Implementation

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Winter Wrap-Up 03: Ideas to build math fluency

Promotional graphic for "Math Teacher Lounge" episode featuring Valerie Henry, Ed.D., on ideas to build math fluency, with a photo of Valerie Henry in the bottom right corner.

Join us for the third episode in our Winter Wrap-Up! In this episode from season 3 of Math Teacher Lounge: The Podcast, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guest

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

An older person with short gray hair and glasses, wearing a blue sweater, is outdoors with greenery and a fence in the background.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Utah ELA Review for Grades PK–5

Thank you for taking the time to review Amplify’s core ELA program for PK–5. Amplify Core Knowledge Language Arts® (CKLA) is a state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Amplify CKLA, developed in partnership with the Core Knowledge Foundation, was designed to help teachers implement Science of Reading principles and evidence-based instructional practices. Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration of a diverse group of people engaged in creative activities, including a woman holding architectural plans and a young girl reading a book.

Step 1: Program Introduction

Welcome to Amplify CKLA! Before you dive into our materials, watch the video below to learn about the big picture behind Amplify CKLA’s pedagogy.

In this video, Susan Lambert (Chief Academic Officer and host of Science of Reading: The Podocast) shares why Amplify CKLA was created, how it is built on the Science of Reading, and the impact it’s making across the country.

Step 2: Program Overview

Amplify CKLA is different for a reason. Watch the overview video below to learn about these differences and why educators love them.

In this video, you’ll get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify CKLA Program Guide also provides an in-depth view of how Amplify CKLA works, how it’s structured, and why it’s uniquely capable of helping you bring reading instruction based on the Science of Reading to your classroom.

Evidence-based design

Amplify CKLA is rooted in Science of Reading research. Mirroring Scarborough’s Rope, Amplify CKLA delivers a combination of explicit foundational skills with meaningful knowledge-building.

  • In Grades PK–2, dedicated knowledge-building and explicit skills instruction are taught simultaneously through two distinct instructional strands.
  • In Grades 3–5, dedicated knowledge-building and explicit skills instruction are woven together and delivered through one integrated strand.
Scarborough's Rope

Grades K–2 Skills and Knowledge Strands
Every day students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5 Integrated Strand
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Key features

For each Amplify CKLA key feature below, click the drop down arrow to learn more.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades PK–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Amplify CKLA aligns with the instructional principles recommended by Orton Gillingham and LETRS.

  • Structured–Concepts are taught through consistent routines
  • Sequential–Concepts are taught in a logical, well-planned sequence
  • Systematic–Phonemes are taught from simplest to most complex
  • Explicit–Decoding and encoding concepts are taught directly and explicitly
  • Multi-sensory–Instruction is delivered through visual, auditory, and kinesthetic-tactile pathways
  • Cumulative–Concepts are applied in decodable, connected texts with constant review and reinforcement

Watch this video to learn more!

Additionally, great reading instruction starts with helping kids develop great decoding skills. Our instruction is supported by:

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and CKLA customers on edWebinar about the importance of knowledge-building in reading instruction.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recently recognized by the Knowledge Matters Campaign as a high-quality literacy program that excels in building knowledge. Our shared message: background knowledge is essential to literacy and learning.

Student-led reading practice should be purposeful and connected to the core. That’s why Amplify createdBoost Reading. As an optional add-on to Amplify CKLA, students have the opportunity to practice skills directly tied to the skills they’ve been working on during core reading time. Boost Reading also adapts to each student to address their personal gaps and bolsters foundational skills at a pace that supports their individual development.

Boost Reading’s collection of 40+ adaptive games target foundational reading skills and develops them in alignment with Science of Reading principles. Unlike other adaptive games, we ensure students:

  • Practice the right skills at the right time. Our embedded placement tool ensures students receive the content and skill practice most appropriate for their current reading level. From there, students move through our curriculum along their own learning pathway where they encounter personalized content tailored to their evolving skill and grade levels.
  • Progress along a pathway that adapts on multiple dimensions, not just one. For example, a student can work on early first-grade decoding in one game while building more advanced vocabulary knowledge in another.
  • Practice skills in tandem. For example, a student is never forced to master one skill area before proceeding to the next. Instead, we offer students that opportunity to work on multiple skills concurrently.
  • Feel supported with scaffolding, instruction, and practice that adapts based on student performance.
  • Stay engaged by giving them immediate and clear feedback. These results are never punitive. Instead our always-positive feedback is delivered in the context of the game world and is designed to motivate students to keep trying.

Click the buttons below to learn more:

Step 3: Program Resources

Easy-to-use print materials

Amplify CKLA’s easy-to-use materials bring foundational skills and knowledge to life in the classroom.

Download the Amplify CKLA Components guide to see components by grade and watch the print materials walkthrough below.

Engaging CKLA digital experience

The top-rated content of Amplify CKLA is now live with the digital experience that enhances instruction and saves time.

Two digital dashboards are displayed: one for teachers showing recommendations and a program list, and one for students showing to-do items and a lesson named Mount Olympus, Part II.

With the digital experience, everything is in one place, making it easier and more engaging than ever to plan lessons, present digital content, and review student work. Click the arrows below to learn more.

With the digital experience, teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive experience—through these CKLA resources: Activity Books, slides, digital components, videos, Student Readers, and more.

The innovative live review tool found in the digital experience enables you to keep an eye on all of your students as they work on drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed textboxes in their Activity Pages. This dynamic tool provides countless classroom management benefits, enabling you to spot and correct common mistakes as they’re happening, praise your students for thoughtful work, and identify students who are not engaged in the task at hand. Simply put, it will give you those valuable “eyes in the back of your head” you’ve warned your students about!

The digital experience integrates with various LMSs, allowing you and your students to access Amplify CKLA with the software you’re already comfortable using.

In the Amplify CKLA student digital experience, your students have one intuitive access point to fully engage with classroom instruction. Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactives from one simple dashboard. Students can draw, record audio, upload and capture images, and type or write in pre-placed text boxes in their Activity Pages.

CKLA review resources

Step 4: State Review Resources

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username: t1.utcklapk5@demo.tryamplify.net
  • Enter the teacher password: Amplify1-utcklapk5
  • Choose CKLA from the “Your Programs” menu on Educator Home.
  • Select a grade level from the drop-down menu at the top of the page.

Ready to explore as a Student? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the student username: s1.utahcklapk5@demo.tryamplify.net
  • Enter the student password: Amplify1-utahcklapk5

Overview Video

The Lawrence Hall of Science

Developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify, our program features:

  • phenomena-based approach where students construct a complex understanding of each unit’s anchor phenomenon.
  • A blend of cohesive storylines, hands-on investigations, rich discussions, literacy-rich activities, and digital tools.
  • Carefully crafted units, chapters, lessons, and activities designed to deliver true 3-dimensional learning.
  • An instructional design that supports all learners in accessing all standards.
The logo for The Lawrence Hall of Science, University of California, Berkeley, features blue text on a light background and is recognized by educators using Amplify Science for middle school science programs.

Instructional model

The Amplify Science program is rooted in the proven, research-based pedagogy of Do, Talk, Read, Write, Visualize. Here’s how each element works:

DO

First-hand investigations are an important part of any science classroom, and Amplify Science has students getting hands-on in every unit—from building models of protein molecules to experimenting with electrical systems.

TALK

Student-to-student discourse and full-class discussions are an integral part of the program. Students are provided with numerous opportunities to engage in meaningful oral scientific argumentation, all while fostering a collaborative classroom environment.

READ

Students read scientific articles, focusing their reading activities on searching for evidence related to their investigation and, importantly, on asking and recording questions as they read through fascinating texts on 21st-century topics.

WRITE

Following real-world practices, students write scientific arguments based on evidence they’ve collected, making clear their reasoning about how a given piece of evidence connects to one of several claims.

VISUALIZE

By manipulating digital simulations and using modeling tools to craft visualizations of their thinking— just as real scientists and engineers do—students take their learning far beyond the confines of what they can physically see in the classroom in an exciting and authentic way.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to address 100% of the NGSS, and support students in mastering the standards.

Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Unit types

While every unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, each unit also serves a unique instructional purpose.

In grades 6–8:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to read actively in all subsequent units.

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Unit sequence

Our lessons follow a structure that is grounded in regular routines while still being flexible enough to allow for a variety of learning experiences.

In fact, our multi-modal instruction offers more opportunities for students to construct meaning, and practice and apply concepts than any other program. What’s more, our modular design means our units can be flexibly arranged to support your instructional goals.

Three columns listing education curriculum topics for grades 6, 7, and 8, focusing on science themes such as microbiomes, mars geology, and harnessing human energy.

Program components

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Amplify Science TG

Hands-on learning is an essential part of Amplify Science, and is integrated into every unit. Students actively participate in science, playing the roles of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend claims about the world around them. Every unit includes hands-on investigations that are critical to achieving the unit’s learning goals.

A young person wearing gloves looks through a microscope at a table with laboratory supplies, including bottles, slides, and a tray, against a plain blue background.

More hands-on with Flextensions:
Hands-on Flextensions are additional, optional investigations that are included at logical points in the learning progression and give students an opportunity to dig deeper if time permits. These activities offer teachers flexibility to choose to dedicate more time to hands-on learning. Materials referenced in Hands-on Flextension activities will either be included in the unit kit or are easily sourced. Supporting resources such as student worksheets will be included as downloadable PDF files.

Our kits include enough materials to support 200 student uses. In other words, teachers can easily support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean teachers just grab the tub they need and then put it all back with ease.

Amplify Science California supports 3-D learning with more materials than any other program.

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

In grades 6–8, one copy of the Student Investigation Notebook is included in each unit’s materials kit for use as a blackline master. Each notebook is also available as a downloadable PDF on the Unit Guide page of the digital Teacher’s Guide.

Two booklets titled "El clima cambiante de la Tierra: la desaparición del hielo" and "Earth’s Changing Climate: Vanishing Ice" with landscape illustrations on the covers.

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.

Explore your print samples

With your Amplify Science print samples, you’ll find unit-specific Teacher’s References Guides and Student Investigation Notebooks for each grade level.

A note about the Teacher’s Reference Guides:

It’s important that your committee sees the full breadth and depth of our instruction. For that reason, we provided a copy of each of our unit-specific Teacher Reference Guides.

Rest assured that teachers do not use these robust reference guides for day-to-day teaching. For that, we have a hands-free TG!

A laptop screen shows an energy simulation, with surrounding text and diagrams explaining the Earth's system and energy flow.
  • Teacher Reference Guide: Unlike a typical TG that requires a series of supplemental books to support it, our encyclopedic reference guide is chock-full of everything a teacher needs to fully implement our program and the NGSS.
  • Ready-to-Teach Lesson Slides: For daily instruction, teachers need their hands free. That’s why we created ready-to-teach lesson slides for every single lesson. What’s more, they are editable and include suggested teacher talk and point-of-use differentiation and other instructional tips. Click to learn more.

A note about the Materials Kits:

Hands-on learning is at the heart of Amplify Science, and is integrated into every unit. In order to make hands-on learning more manageable for busy teachers, Amplify Science materials are organized into unit-specific kits.

Stacked storage bins with labels, arranged neatly; caption notes they are a sample and may not reflect actual quantities or sizes.

Our unit-specific kits:

  • Include more materials — We give teachers enough materials to support 200 student uses.
  • Are more manageable — Unlike other programs that require large groups of students to share limited sets of materials, our kits include enough to support small groups of 4–5 students.
  • Include supportive videos — Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What comes in each grade level kit? Click the links below to see the grade-specific lists of all materials included in each kit.

Access your digital samples

Explore as a teacher

Follow these instructions to explore the Amplify Science digital platform as a teacher.

  • Click the Access Amplify Science Platform button below and bookmark it.
  • Select Log in with Amplify.
  • Enter the username: t1.jeffersoncounty@demo.tryamplify.net
  • Enter the password: Amplify1-jeffersoncounty
  • Click the Science icon.
  • Click on the Program Menu in the top center of the screen and select any grade.
  • Select any unit.

To help familiarize yourself with navigating the digital platform,watch the below navigational video.

Explore as a student

Follow these instructions to explore the Amplify Science digital platform as a student.

  • Click the Access Amplify Science Platform button below and bookmark it.
  • Select Log in with Amplify.
  • Enter the username: s1.jeffersoncounty@demo.tryamplify.net
  • Enter the password: Amplify1-jeffersoncounty
  • Click the Science icon.
  • Click on the Grade Menu in the top center of the screen and select any grade.
  • Select any unit.

Resources to support your review

Grade 6

Module 1: Composing and Decomposing

Topic 1: Factors and Multiples

MATHbookLesson 1: Taking Apart Numbers and ShapesProducts and Sums
MATHbookLesson 5: Yours IS to Reason Why!Fill the Gap

Topic 2: Area, Volume, and Surface Area

MATHbookLesson 1: All About That Base….and HeightExploring Triangles
Triangles and Parallelograms
MATHbookLesson 2: Slicing and Dicing: Composit FigureShapes on a Plane
Letters

Topic 3: Decimals

MATHbookLesson 1: You Have a PointDishing Out Decimals
MATHbookLesson 2: Get In LineDecimal Diagrams and Algorithms
MATHbookLesson 4: Dividend In the HouseMovie Time

Topic 4: Fraction by Fraction Division

MATHiaLesson 1: Representing Fraction DivisionFlour Planner

Topic 5: Area of Triangles and Quadrilaterals

MATHiaLesson 2: Developing Area FormulasExploring Parallelograms,
Part 1
MATHiaLesson 3: Calculating Areas of Various FiguresExploring Parallelograms,
Part 2

Off the Grid, Part 1
Off the Grid, Part 2

Topic 6: Composite Figures

MATHiaLesson 2: Calculating Area of Composite FiguresPile of Polygons

Topic 8: Surface Area of Regulat Prisms and Pyramids

MATHiaLesson 1: Determing Surface Area Using NetsRenata’s Stickers

Module 2: Relating Quantitites

Topic 1: Ratios

MATHbookLesson 2: Going StrongPizza Maker
MATHbookLesson 3: Different but the SamePizza Maker
MATHbookLesson 4: A trip to the MoonFruit Lab

Topic 2: Percents

MATHbookLesson 2: Warming the BenchLucky Duckies

Topic 3: Using Tables to Represent Equivalent Ratios

MATHbookLesson 1: Many ways to MeasureMany Measurements
Model Trains
MATHbookLesson 2: What is the Best Buy?World Records
MATHbookLesson 3: A Trip to the MoonWelcome to the Robot Factory
MATHiaLesson 2: Using Tables to Determine Equivalent RatiosDisaster Preparation
MATHiaLesson 3: Problem Solving with Equivalent Rations and Rates using TablesDisaster Preparation

Topic 9: Introduction to Unit Rate

MATHiaLesson 2: Determining and Comparing RatesSoft Serve
More Soft Serve

Module 3: Determining Unknown Values

Topic 2: Equations

MATHbookLesson 2: Double TalkWeight for It
MATHbookLesson 3: Play It in ReverseWeight for It
MATHbookLesson 4: One, None, or a TonTunnel Travels
MATHbookLesson 5: Getting RealFive Equations
Swap and Solve

Topic 3: Graphing Quantitative Relationships

MATHbookLesson 3: Planes, Trains, and PaychecksSubway Fares

Topic 6: Solving One-Step Addition and Subtraction Equations

MATHiaLesson 1: Exploring One-Step Equations with Double-Number LinesHanging Around

Topic 7: Solving One-Step Multiplication and Division Equations

MATHiaLesson 1: Using Double Number Lines to Solve One-Step Multiplicaiton EquationsHanging Around

Topic 8: Solving One-Step Equations with Decimals and Fractions

MATHiaLessons 1-4:Hanging Around

Module 4: Moving Beyond Positive Quantities

Topic 1: Signed Numbers

MATHbookLesson 1: Signed NumbersCan You Dig It?

Topic 1: Introduction to Negative Numbers

MATHiaLesson 2: Representing Integers on Number LinesOrder in the Class

Module 5: Describing Variability of Quantities

Topic 1: The Statical Process

MATHbookLesson 3: SkyscrapersThe Plot Thickens

Topic 2: Numerical Summaries of Data

MATHbookLesson 1: In the MiddleToy Cars
MATHbookLesson 3: March MADnessHoops

Topic 2: Analyzing Numeric Data Displays

MATHiaLesson 1: Creating Dot PlotsMinimum Wage

Grade 7

Module 1: Thinking Proportionally

Topic 1: Circles and Ratios

MATHbookLesson 1: Pi: The Ultimate RatioMeasuring Around
MATHbookLesson 2: That’s a Spicy Pizza!Why Pi?
MATHbookLesson 2: Circular ReasoningArea Challenges
MATHbook
Lesson 4: Pound for Pount, Inch for Inch
Scaling Machines
Tiles
Scaling Robots

Topic 2: Proportionality

MATHbookLesson 1: Poultry in MotionPaint
MATHbookLesson 6: Minding Your Ps and QsTwo and Two

Topic 3: Proportional Relationships

MATHbookLesson 1: Markups and MarkdownsAll the Equations
100%
MATHbookLesson 4: More Ups and DownsMosaics
More and Less

Topic 3: Scale and Scale Drawing

MATHiaLesson 1: Critical Attributes of Similar FiguresScale Factor Challenges
MATHiaLesson 3: Calculating Measurements Using ScaleMake it Scale
Will It Fit

Topic 4: Ratio Representations

MATHiaLesson 2: Determining Characteristics of Graphs of Proportional RelationshipsDinoPops

Topic 11: Introducing Proportions to Solve Percent Problems

MATHiaLesson 2: Solving Simple Percent ProblemsBack in My Day

Topic 13: Percent Increase and Percent Decrease

MATHiaLesson 1: Calculating Percent Change and Final AmountsPercent Machines

Module 2: Operating with Signed Numbers

Topic 1: Adding and Subtracting Rational Numbers

MATHbookLesson 1: Math FootballFloats and Anchors
MATHbookLesson 2: Walk the LineMore Floats and Anchors
MATHbookLesson 4: What’s the Difference?More Floats and Anchors

Topic 5: Rewriting Expressions

MATHiaLesson 2: Evaluating Simple Numberic Expressions with IntegersInteger Puzzles

Topic 6: Using Number Properties to Interpret Expressions with Signed Numbers

MATHiaLesson 2: Operating with Signed DecimalsDraw Your Own

Module 3: Reasoning Algebraically

Topic 1: Two-Step Expressions and Equations

MATHbookLesson 4: Formally YoursKeeping it True

Topic 2: Multiple Representations of Equations and Inequalities

MATHbookLesson 3: Solving Inequalities with Inverse OperationsUnbalanced Hangers
MATHbook
Lesson 4: Deep Dive
Budgeting
Write Them and Solve Them

Topic 1: Rewriting Algebraic Expressions

MATHiaLesson 2: Rewriting Algebraic Expressions Involving Integer CoefficientsCollect the Squares

Topic 8: Solving Inequalities with Inverse Operations

MATHiaLesson 3: Solving Two-Step InequalitiesI Saw the Signs
Shira the Sheep

Module 4: Analyzing Populations and Probabilities

Topic 1: Introduction to Probability

MATHbookLesson 1: Rolling, Rolling, Rolling…How Likely
Prob-bear-bilities
MATHbookLesson 2: Give the Model a ChanceIs It Fair?

Topic 3: Drawing Inferences

MATHbookLesson 2: Tiles, Gumballs, and PumpkinsCrab Island

Module 5: Constructing and Measuring

Topic 1: Angles and Triangles

MATHbookLesson 2: Special DeliveryFriendly Angles
MATHbookLesson 3: Consider Every SideCan You Build It

Topic 1: Special Angle Relationships

MATHiaLesson 2: Exploring Angle RelationshipsMissing Measures
MATHiaLesson 3: Solving for Angle MeasuresMissing Measures

Grade 8

Module 1: Transforming Geometric Objects

Topic 1: Rigit Motion Transformaitons

MATHbookLesson 1: Patty Paper, Patty PaperTransformers
MATHbookLesson 2: Slides, Flips, and SpinsSpinning, Flipping, Sliding
MATHbookLesson 3: Lateral MovesGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 4: Mirror, MirrorGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLasson 5: Half Turnsa and Quarter TurnsGetting Coordinated, Part 1
Getting Coordinated, Part 2
MATHbookLesson 6: Every Which WayTransformation Golf

Topic 2: Dilations

MATHbookLesson 1: Pinch-Zoom GeometrySketchy Dilations
MATHbookLesson 2: Rising, Running, Stepping, ScalingDilation Mini Golf
MATHbookLesson 3: From Here to ThereSocial Scavenger Hunt

Topic 3: Line and Angle Relationships

MATHbookLesson 2: Crisscrsoss ApplesaucePuzzling It Out

Topic 1: Rigid Motion in the Coordinate Plane

MATHiaLesson 1: Experimenting with Rigid MotionMoving Day

Module 2: Modeling Linear Relationships

Topic 1: From Proportions to Linear Relationships

MATHbookLesson 2: Jack and Jill Went Up the HillTurtle Time Trials
MATHbookLesson 4: Up, Down, and All AroundTranslations

Topic 2: Modeling Linear Relationships

MATHbookLesson 2: Been There, Done That, Got the T-shirtWater Cooler
MATHbookLesson 3: Dining, Dancing, DrivingFlags
Ups and Downs
MATHbookLesson 4: Derby DayStacking Cups (Optional)

Topic 3: Systems of Linear Equations

MATHbookLesson 1: Crossing PathsMake Them Balance
MATHbookLesson 2: The Road Less TraveledLine Zapper

Topic 11: Solving Linear Equations with Variables on Both Sides

MATHiaLesson 3: Solving with Variables on Both Sides with RationalsEquation Roundtable

Module 3: Developing Function Foundations

Topic 1: Introduction to Functions

MATHbookLesson 1: Patterns, Sequences, Rules…Guess My Rule
MATHbookLesson 2: Once Upon a GraphTurtle Crossing
MATHbookLesson 4: Over the River and Through the WoodsThe Tortoise and the Hare
Scatter Plot City
Interpreting Slopes

Topic 2: Patterns in Bivariate Data

MATHbookLesson 1: Pass the SqueezeRobots
MATHbookLesson 2: Off the ChainDapper Cats
MATHbookLesson 3: Mia is Growing Like a WeedFind the FIt (called Fit Fights in Desmos Math)
MATHbookLesson 4: The Stroop TestInterpreting Scatter Plots
MATHbookLesson 5: Would You Rather…?Finding Associations

Topic 4: Drawing Lines of Best Fit

MATHiaLesson 1: Estimating Lines of Best FitInterpreting Slopes
MATHiaLesson 2: Using Lines of Best FitAnimal Brains

Module 4: Expanding Number Systems

Topic 2: Pythagorean Theorem

MATHbookLesson 1: The Right ConnectionTriangle Tracing Turtle
MATHbookLesson 4: Catty CornerTaco Truck

Topic 1: The Real Number System

MATHiaLesson 2: Graphing Real Numbers on the Number LineRoot Down

Module 5: Applying Powers

Topic 1: Exponents and Scientific Notation

MATHbookLesson 1: It’s a Generational ThingCircles
MATHbookLesson 2: Show What You KnowPower Pairs
MATHbookLesson 3: The Big and Small of ItSpecific and Scientific (formerly Solar System)
MATHbook
Lesson 4: How Much Larger?
Balance the Scale

Topic 2: Volume of Curved Figures

MATHbookLesson 1: Drum Roll, Please!Cylinders
MATHbookLesson 2: Conse of SilenceCones

Algebra 1

Module 1: Searching for Patterns

Topic 1: Quantities and Relationships

Lesson 3: f of x, Recognizing Functions and Function FamiliesCraft-a-Graph
Pumpkin Prices

Topic 2: Sequences

Lesson 1: Is there a Pattern Here?Visual Patterns
Revisiting Visual Patterns, Part 1
Lesson 2: The Password is Operations!Sequence Carnival
Revisiting Visual Patterns, Part 2
Lesson 3: Did You Mean: Recursion?More Visual Patterns

Topic 3: Linear Regressions

Lesson 1: Like a GlovePenguin Populations
Lesson 2: Gotta Keep It Correlatin’Correlation Coefficient
How Hot Is It?
Behind the Headlines
City Data
Lesson 3: The Residual EffectResidual Fruit
Lesson 4: To Fit or Not To Fit? That Is the Question!City Slopes

Module 2: Exploring Constant Change

Topic 1: Linear Functions

Lesson 1: Connecting the DotsPlane, Train, and Automobile

Topic 2: Solving Linear Equations and Inequalities

Lesson 1: Strike a BalanceWorking Backwards
Solving Strategies
Same Position
Lesson 2: It’s Literally About Literal EquationsSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 3: Not All Statements Are Made EqualPizza Delivery

Topic 3: Systems of Equations and Inequalities

Lesson 1: Double the FunShape It Up
Lizard Lines
Lesson 3: Throwing ShadeSeeking Solutions
Lesson 4: Working with ConstraintsQuilts

Module 3: Investigating Growth and Decay

Topic 1: Introduction to Exponential Functions

Lesson 2: The Power WithinCarlos’s Fish

Topic 2: Using Exponential Equations

Module 4: Describing Distributions

Topic 1: One-Variable Statistics

Lesson 2: A Skewed RealityFinding Desmo

Module 5: Maximizing and Minimizing

Topic 1: Introduction to Quadratic Functions

Lesson 1: Up and Down or Down and UpQuadratic Visual Patterns
On the Fence
Stomp Rockets
Plenty of Parabolas
Robot Launch
Lesson 2: Endless Forms Most BeautifulParabola Zapper
Two for One
Shooting Stars
Lesson 4: You Lose Some, You Lose SomeSorting Relationships

Topic 2: Solving Quadratic Equations

Lesson 4: The Missing LinkSquare Tactic
Lesson 5: The Quadratic FormulaStomp Rockets in Space

Disclaimer

This document is for informational purposes only; references to third-party programs do not imply endorsement or affiliation, and all trademarks are the property of their respective owners.

Amplify Science Resources for NYC (6-8)

This page has been archived. For the latest information, please visit the NYC Resource Site.

Welcome!

As the 2021-2022 school year kicks into full gear, you’re likely thinking about making your classroom responsive to student needs due to the covid-19 pandemic.

Got additional questions? Use Zoom to attend office hours with Adaliz Gonzalez, the DOE’s Middle School Science Lead on Thursdays from 3-4pm.

Meeting ID: 852 2280 0969

Passcode: 528986

A powerful partnership

Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.

The word "Amplify" is written in large, orange letters with a period at the end on a light background.
The logo for The Lawrence Hall of Science, University of California, Berkeley, features blue text on a light background and is recognized by educators using Amplify Science for middle school science programs.

NYC Newsletters

Educator Spotlight Submission

Calling all NYC DOE educators! Do you know an educator who has gone above and beyond? Would you like to highlight your teaching experience for others? Submit nominations here to see them featured as a spotlight in a future edition of our monthly newsletter and on our Instagram pages!

Introduction

This page includes planning, implementation, and professional learning resources for NYC schools using Amplify Science. Please take a moment to familiarize yourself with the categories in the navigation bar on the left side of the page, so that you’ll be able to easily find what you need.

Most New York City educators come here looking for specific information, but if you’re new to Amplify Science, we recommend you read through the program guide to learn a little about the program. 

New to Amplify? – Start HERE!

Teachers and Administrators 

Step 1: Review the Amplify Science Overview Video.

Step 2: Review the NYC Scope and sequence for 21-22 school year.

Step 3: Review the Unpacking the Kit Videos listed below to understand what’s in your unit 1 kit.

Step 4: Access your unique Log-in information to log-in to the Amplify Science Curriculum outlined below under Login support

Step 5: Log into the platform and access our Program Hub.  Select Using this site for self study for a complete suite of training videos and resources for an initial orientation video series.

Step 6: Log into the curriculum and begin studying the Unit Map and Teacher’s Guide resources and begin planning your first lesson. Print out the NYC Program Guide for essential program information.

Step 7: Administrator’s ONLY – Review the new administrator orientation presentation for an overview of the program. Review other materials under Admin Resources

NOTE: Should you need any additional guidance on how to get started with prep (or anything else!), please feel free to get in touch with our pedagogical support team. They are available Monday-Friday from 7AM-7PM EST. You can reach them via the chat icon in the lower right- hand corner of your screen when logged in, through email (help@amplify.com), or via phone (800-823-1969).

Getting started resources

Login Support

Materials

Unpacking your first Amplify Science classroom kit

21-22 Login Update

The temporary login credentials for fall ’21 have been deactivated. 

Please make sure you check out the Getting started resources > Login Support below for instructions around teacher and student logins. If there are any issues, please confirm with your STARS programmer that your classes are assigned correctly and then contact our Amplify Help Desk at help@amplify.com or at 1-800-823-1969 for further assistance.

Implementation resources

21-22 NYC Scope and Sequence and Pacing Guide

Use our NYC Field Trip List to plan an engaging field trip for your students!

NYC Companion Lesson Guides 

The format of the NYC Companion Lessons is similar to other Amplify Science lessons. Some companion lessons are designed to require more than a single class period to teach, so each lesson includes pacing suggestions. Science Background sections support teachers with the science content introduced in the lessons. For students’ written work, possible student responses are included at the end of each lesson guide.

The Lesson Guides are available in the last section of each unit’s print Teacher’s Guide and can be downloaded from the tables in the downloads section below.

NYC Companion Lesson Copymasters
Each NYC Companion Lesson has an accompanying Copymaster (for creating student sheets) that can be copied and distributed to students or used as a visual reference. The NYC Companion Lessons require students to have physical copies of the student sheets. The copymasters are available to download as printable PDF files from the tables in the downloads section below.

Grade 6 Lesson guides and Copymasters

  • Companion lesson: Insert after Lesson 2.2
  • Time frame: 60 minutes (can spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS3-6, DCI: PS3.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3
  • Time frame: Two 45-minute class periods
  • NYSP–12SLS: PE: MS-PS2-3, MS-PS2-5, DCI: PS2.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3 and after Investigating Non-Touching Forces
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-PS2-5, MS-PS2-3, DCI: PS2.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.5
  • Time frame: 105 minutes (can be spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS1-6, DCI: PS1.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.4
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS2-5, DCI: LS2.C, LS4.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 1.3
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-ESS2-4, DCI: ESS2.C
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3*
  • Time frame: 90 minutes (can be spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS1-7, MS-ESS2-6, DCI: PS1.A, ESS2.C
  • Links (click to download):

*Note: The homework assignment for Ocean, Atmosphere, and Climate Lesson 3.3 (reading the article “Deep Ocean Currents: Driven by Density”) should be assigned after the Investigating Deep Ocean Currents companion lesson rather than after Lesson 3.3.

Grade 7 Lesson Guides and Copymasters

  • Companion lesson: Insert after Lesson 3.2
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS1-3, DCI: PS3.D, LS1.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3 or later
  • Time frame: Three 45-minute class periods, each several days apart
  • NYSP–12SLS: PE: MS-LS1-8, DCI: LS1.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.5
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS1-6, MS-LS1-7, DCI: LS1.C, PS3.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.2
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-PS1-4, DCI: PS3.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 1.3
  • Time frame: 60 minutes
  • NYSP–12SLS: PE: MS-PS1-7, DCI: PS1.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.3, 2.4, or 2.5
  • Time frame: Two 45-minute class periods
  • NYSP–PE: MS-PS1-8, MS-PS1-2 DCI: PS1.A, PS1.B
  • Links (click to download):

Grade 8 Lesson Guides and Copymaster

  • Companion lesson: Insert after Lesson 2.2
  • Time frame: 90 minutes (can be spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS3-2, MS-PS3-5
  • Links (click to download):

NYC Companion Kits

Materials needed to teach Amplify Science lessons are provided in a kit for each unit. While some materials used in the NYC Companion Lessons are also found in a unit’s kit, materials specific to the companion lessons are provided in NYC Companion Kits. The contents of each kit and any additional materials needed to teach the companion lessons are listed in the PDFs provided below. Please select your grade to view or download the list.

NYC Student Editions (print)
The NYC Student Editions are durable student references that compile all reading material required for a grade level, including the articles students read for NYC Companion Lessons. Students reading in the Student Edition should annotate the text directly with sticky notes to achieve the full benefits of Active Reading. The Active Reading approach was designed as an interactive process in which students highlight and annotate digital or hard copies of articles directly. Printable versions of the articles are available in the downloads section below.

It is recommended that NYC teachers insert this additional lesson between Lessons 3.1 and 3.2 in order to have students complete a reading assignment in class along with an additional Sim activity.

  • Lesson: Earth, Moon and Sun: Modeling Seasons
  • Lesson Placement: Insert between Lessons 3.1 and 3.2*
  • Links (click to download):

*If teaching this Modeling Seasons lesson, do not assign reading “The Endless Summer of the Arctic Tern” article for homework in Lesson 3.1. However, students should still model a lunar eclipse with the Modeling Tool for homework, as they will be revisiting and revising this model in Lesson 3.3.

NYC Investigation Notebooks (for teacher download)

* includes NYC Companion Lesson Copymaster(s)

* includes NYC Companion Lesson Copymaster(s)

  • Geology on Mars
  • Earth, Moon, and Sun
  • Force and Motion
  • Engineering Internship: Force and Motion
  • Magnetic Fields*
  • Light Waves
  • Traits and Reproduction
  • Natural Selection
  • Evolutionary History

* includes NYC Companion Lesson Copymaster(s)

Admin resources

Remote and hybrid learning resources

In response to the shifts towards remote learning, Amplify has created resources for using our programs remotely. Please visit our Program Hub accessible via your Teacher Platform for all of our hybrid and remote learning supports which includes guidance for teachers and parents/guardians.

Additionally, please see below where you’ll find the recordings from our recently held webinars on our remote learning resources and some best practices for implementing Amplify Science in a distance learning setting.

Resource guides

Professional learning opportunities

Interested in attending training? Check out and sign up for this year’s PL offerings here!

Election Day 21-22 PL

Grade 6 Guided Planning Presentation and Webinar

Grade 7 Guided Planning Presentation and Webinar

Grade 8 Guided Planning Presentation and Webinar

Grades 6-8 Unpacking Phenomena Presentation and Webinar

All 2020-2021 PL session materials can be found below under Professional learning resources.

Amplify Science Back-to-School Recorded Webinars – Amplify held a series of national office hours throughout the summer and fall to share information about our new resources to support remote and hybrid learning– including recommendations about what to prioritize from your curriculum and essential refresher topics, such as how to navigate your program and find the best planning resources. Feel free to watch all recorded sessions at your convenience.

Archived Professional Learning Resources

Winter 2022

Spring 2021

Winter 2021

Fall 2020

Summer 2020

Summer 2019- Harnessing Human Energy and Thermal Energy

Fall 2019- Population and Resources with Participant Notebook

Winter 2022

Spring 2021

Winter 2021

Fall 2020

  • Grade 7: Progress Builds & Embedded Assessments Webinar
  • Grade 7: Amplify Science Remote & Hybrid Resources Webinar

Summer 2020

Summer 2019 – Microbiome and Metabolism

Fall 2019 – Phase Change with Participant Notebook

Winter 2022

Spring 2021

Winter 2021

Fall 2020

  • Grade 8: Progress Builds & Embedded Assessments Webinar
  • Grade 8: Amplify Science Remote & Hybrid Resources Webinar

Summer 2020

Summer 2019 –  Geology on Mars and Earth, Moon, Sun

Fall 2019 – Force and Motion with Participant Notebook

Caregiver resources

Caregiver Hub

Questions

For general questions about the Amplify program (navigation, pedagogy, login), please reach out:

Email – scihelp@amplify.com
Phone – call toll-free at (800) 823-1969, Monday to Friday, 7 a.m.–7 p.m.  ET

Amplify Chat – click the Amplify Chat icon within the individual teacher account

Frequently asked questions

Still have questions? We have answers. Check out the following FAQ.

A teacher discusses educational content in front of a whiteboard while students in the classroom raise their hands eagerly.

Program questions

Amplify Science California is a flexible, blended K–8 science curriculum that addresses 100 percent of the Next Generation Science Standards for California, and a significant number of the Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math, as well as the California English Language Development Standards. Together, the units deliver three-dimensional instruction across the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design.

Since Amplify Science California is a blended curriculum, districts who adopt it are outfitted with a variety of print and digital resources as well as hands-on materials kits. To explore the specific components of the program, visit the What’s Included portion of our site.

As our customers will tell you, when you adopt Amplify Science California, you aren’t just buying a science curriculum, you’re joining a family. As such, along with materials, your adoption of Amplify Science California also includes care and support through a variety of staff and resources, including customer support specialists, pedagogical support specialists, implementation specialists, professional learning specialists, educational partnership managers, and more.

Amplify Science California does indeed features some powerful and engaging digital components, which are gradually introduced beginning at grade 2. However, as a fully blended and flexible program, Amplify Science California can be (and has been) implemented in a wide variety of scenarios.

All lessons were designed with device sharing in mind, and never assume that every student has a separate device. While 1:1 scenarios are great, they aren’t required. When devices are necessary for students to fully experience a concept, teachers can opt to share devices across pairs or small groups, or simply display the Sim or Modeling Tool to the whole class and allow students to “drive” using your device.

Rather than introducing a concept on Monday, testing for mastery on Friday, and knowing students will forget everything by the next Tuesday, we set out to help students build meaningful and lasting knowledge that they can retain and transfer over the course of the entire unit. We accomplish this by giving students multiple opportunities (a.k.a. “at-bats”) to encounter, explore, and experience a concept. Said another way, Amplify Science California is actually made up of a series of multi-modal “mini-lessons.” This intentional cyclical and iterative design mirrors the 5Es, allows teachers the flexibility to speed up or skip ahead once students have demonstrated mastery, and empowers students to learn concepts more deeply than any other program.

We support both. No one solution works for everyone; therefore, in partnership with the Lawrence Hall of Science, we developed suggested sequences for both the integrated model of instruction and the discipline-specific model. Because it’s our goal to provide districts the maximum amount of flexibility, we’re also happy to support districts interested in implementing a different sequence of instruction.

Yes. Rather than separating Performance Expectations into physical science units, earth and space science units, and life science units, Amplify Science California units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain disciplinary core ideas (DCIs) while also drawing from or applying to others. In organizing the Amplify Science California middle school units, we’ve carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science California unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and always applied what they’ve learned in a different context.

For example:
In the unit Light Waves, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on disciplinary core ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Absolutely. Hands-on learning is at the heart of Amplify Science California. Integrated into every unit are opportunities for students to take on the role of scientists and engineers as they gather evidence, think critically, solve problems, and develop and defend their claims.

In addition, our unique combination of focus and flex activities means teachers have more options, opportunities, and materials to make learning active. Each hands-on activity provides clear instructions for the teacher, with more complex activities supported by video demonstrations and illustrations.

What’s important to remember is that more hands-on doesn’t necessarily mean better, at least according to the California NGSS. That’s because only two of the eight Science and Engineering Practices (SEPs) are directly related to hands-on learning.
Just as scientists gather evidence from many types of sources, so do students in the Amplify Science California program. Like scientists, students gather evidence from physical models, digital models, texts, videos, photographs, maps, and data sets. By doing do, we provide students more opportunities than any other program to practice using all of the practices called out in the California NGSS Framework.

NGSS 8 Science Practices

  1. Asking questions
  2. Developing and using models
  3. Planning and carrying out investigations
  4. Analyzing and interpreting data
  5. Using mathematics and computational thinking
  6. Constructing explanations
  7. Engaging in arguments from evidence
  8. Obtaining, evaluating, and communicating information

While all of our units engage students in gathering evidence from a rich collection of sources, the reliance on different types of evidence (and evidence sources) varies according to unit. For instance, some units lend themselves to meaningful hands-on experiences, while in other units the phenomena students are investigating are too slow, too dangerous, or too big to be observed directly. In those units, students rely more heavily on other evidence sources such a physical models or simulations.

Unit types in grades K-5

In each K–5 grade, there is one unit that emphasizes investigation, one that emphasizes modeling, and one that emphasizes design. In addition, in grades 3–5, there is also one unit that emphasizes argumentation.

Unit types in grades 6-8

Each 6–8 grade features three types of units: Launch, Core, and Engineering Internships. Each year has one Launch unit, six Core units, and two Engineering Internships.

For teachers who want to supplement the lessons with even more hands-on activities, optional “flextension” activities are included in many units.

Yes indeed. Amplify Science California integrates all four STEM disciplines—science, technology, engineering, and math—in addition to English Language Arts—throughout the curriculum. In addition, each grade level features specific units that emphasize engineering design.

Every lesson in Amplify Science California explicitly calls out which CCSS ELA and CCSS Math standards are addressed. That said, this is not a math program, nor an ELA program; therefore, it does not address all of the Common Core standards. But the program does address a significant number of the standards as they pertain to science.

Yes, the program includes multiple opportunities for summative assessments.

End-of-unit assessments: At grades K–1 these look like targeted conversations, at grades 2–5 we incorporate written responses, and at grades 6–8 we assess through a combination of auto-scored multiple-choice questions and rubric-scored written responses. These summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.

Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facility with each of the grade-level appropriate DCIs, SEPs, CCCs, and performance expectations of the California NGSS.

Science Seminars and final written arguments (formative and summative components): In grades 6–8, culminating performance tasks for each core unit invite students to figure out a new real-world problem. They collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.

No. While we do provide suggested sequences for integrated and domain courses, there are other logical ways to sequence the units and we expect that teachers will present the units in a variety of different orders and in any combination. There are a few notable exceptions. For example, students completing the Metabolism Engineering Internship should have completed the Metabolism core unit beforehand, or a unit that provides students with the same information. Amplify Science California specifies prerequisites for each unit in the event that teachers are interested in using an Amplify Science California unit in combination with other materials.

The typical elementary classroom delivers science instruction only two times per week. Yet, most curricula provide 180 days of lessons. Rather than asking teachers to wade through unnecessary content, we designed a program that addresses 100 percent of the NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. With plenty of wiggle room built right into the program, teachers can relax knowing that there’s ample time to get it all done.

Amplify Science California provides more than enough instructional content to fill 180 days of instruction. However, unlike other programs that expect you to complete 180 discrete lessons, Amplify Science California includes built in wiggle room.

For example, the typical elementary classroom delivers science instruction only two times per week. Rather than asking teachers to wade through unnecessary content, we designed our program to address 100 percent of the California NGSS in just 66 days at grades K–2 and 88 days at grades 3–5. When it comes to middle school, we address 100 percent of the California NGSS in 146 lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science California with some of their own favorite lessons. Lastly, we’ve accounted for the inevitable assembly days, class trips, testing schedules, et cetera. For teachers that want to go deeper or expand upon a unit topic, we also offer a number of additional lessons that are not core to each unit.

Amplify Science California lessons are designed to be completed in the following timeframes:
Grades K-1 lessons are designed for 45 minutes of science instruction.
Grades 2-5 lessons are designed for 60 minutes of science instruction.
Grades 6-8 lessons are designed for 45 minutes of science instruction.

That said, it’s not a problem if you can’t allocate 45 mins of science instruction every day at K-1, or 60 minutes per day at 2-5. Since there are a total of 66 lessons to address 100 percent of California NGSS at grades K-2, and 88 lessons to address 100 percent of California NGSS at grades 3-5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Technical questions

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of your digital curriculum products please see Amplify’s customer requirements page.

Phonological awareness games

In Cut It Out, students isolate individual phonemes by listening to a beginning, middle, or ending sound and choosing a picture of the word containing the sound in that position.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.C — Isolate and pronounce initial, medial vowel, and final sounds (phonemes) in spoken single-syllable words.
  • CCSS.ELA-LITERACY.RF.K.2.D — Isolate and pronounce the initial, medial vowel, and final sounds (phonemes) in three-phoneme (consonant-vowel-consonant, or CVC) words.1 (This does not include CVCs ending with /l/, /r/, or /x/.)

In Gem & Nye, students blend sounds into words, starting with compound words and syllables and then moving to beginning (onset) and ending (rime) sounds and finally individual phonemes, to identify the picture of the word the Soundbots say when blended together.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.B — Orally produce single-syllable words by blending sounds (phonemes), including consonant blends.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.

In Wordbots, students practice segmenting words into their onsets and rimes to determine which Startbots and Endbots form a stimulus word.

Skills
Phonological awareness

  • Segment at the compound-word and onset-rime level

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.

In Zoom Boom, students practice rhyming by listening to a word and identifying the picture of the word that rhymes with it.

Skills
Phonological awareness

  • Rhyming

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.A — Recognize and produce rhyming words.

Phonics Games in Amplify Reading: K–2

In Curioso Crossing, students practice accurate and automatic word recognition by identifying the correct spoken word to guide their Curioso safely throughout the land.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read high-frequency irregular words, regular words, words with inflected endings, two-syllable words, words with prefixes and suffixes, and multi-syllable words

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACY.RF.1.3.E — Decode two-syllable words following basic patterns by breaking the words into syllables.
  • CCSS.ELA-LITERACY.RF.1.3.F — Read words with inflectional endings.
  • CCSS.ELA-LITERACY.RF.2.3.A — Distinguish long and short vowels when reading regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.2.3.C — Decode regularly spelled two-syllable words with long vowels.
  • CCSS.ELA-LITERACY.RF.2.3.D — Decode words with common prefixes and suffixes.
  • CCSS.ELA-LITERACY.RF.2.3.F — Recognize and read grade-appropriate irregularly spelled words.
  • CCSS.ELA-LITERACY.RF.K.3.C — Read common high-frequency words by sight (e.g., the, of, to, you, she, my, is, are, do, does).
  • CCSS.ELA-LITERACY.RF.1.3.G — Recognize and read grade-appropriate irregularly spelled words.

In Food Truck, students practice “chopping” blends, ending sounds (rimes), and whole words into beginning sounds (onsets), ending sounds, and individual letters to create orders for their hungry goblin customers. The difficulty of words and segmenting tasks increases with each level as customers order more sophisticated “dishes.”

Skills
Phonics – Early Decoding

  • Decode and spell words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Grumpy Goblins, students learn sound-spelling correspondences for consonant digraphs and vowel teams by listening to a sound from a goblin and feeding it the piece of toast with the corresponding letter or combination.

Skills
Phonics – Letter Combinations

  • Sound-spelling correspondences for consonant digraphs and vowel teams

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Hangry Goblins, students practice letter-sound combinations by feeding individual letter sounds, consonant digraphs, blends, and vowel teams to goblins that become more and more “hangry” until they are given the letters that match their demands.

Skills
Phonics – Letter Sound Correspondence

  • Sound-spelling correspondences for individual letters and letter combinations

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Picky Goblins, students practice sound-spelling correspondences for individual letters by listening to a sound from a goblin and feeding it the piece of toast with the corresponding.

Skills
Phonics – Letter-Sound Correspondence

  • Sound-Spelling Correspondences for single letters

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.

In Read All About It, students practice reading sentences with words that include the sound-spelling correspondences, word features (e.g., prefixes/suffixes), and phonics rules (e.g., vowel consonant long e, syllable patterns) they learned and practiced in other games.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read grade level text accurately

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.K.4 — Read emergent-reader texts with purpose and understanding.
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.1.4 — Read with sufficient accuracy and fluency to support comprehension.
  • CCSS.ELA-LITERACY.RF.2.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.2.4 — Read with sufficient accuracy and fluency to support comprehension.

In Rhyme Time, students practice with different rime families (words that end with the same sounds and rhyme) and decode words in these families by swapping the first letter sounds of words while the ending sounds remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Tongue Twist, students practice with different rime families (words that end with the same sounds and rhyme) and build words by changing the ending sound (rime) while the beginning (onset) sounds, consonant blends, and consonant digraphs remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Word City, students identify and manipulate beginning, middle, and ending letter sounds to assemble word chains that form buildings.

Skills
Phonics – Early Decoding

  • Letter-sound correspondence
  • Decoding and spelling regular words

Standards Covered

  • CCSS.ELA-LITERACYRF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACYRF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACYRF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACYRF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACYRF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

Microcomprehension Games in Amplify Reading: K–2

In Because This, That, students learn how common text structures give clues to meaning by rearranging sentences to identify cause and effect or problem and solution.

Skills
Microcomprehension

  • Text Structure: Organize sentences using sequence/chronological order

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Connect It!, students practice using different types of conjunctions (temporal and causal, for example) to combine two clauses into a coherent sentence.

Skills
Microcomprehension

  • Syntactic awareness – connectives

Standards covered

  • CCSS.ELA-LITERACY.L.2.3 — Use knowledge of language and its conventions when writing, speaking, reading, or listening.

In Message in a Bottle, students build their awareness of syntax and the impact word order has on meaning by unscrambling scraps of lost messages to reconstruct sentences.

Skills
Microcomprehension

  • Syntactic awareness

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

In Mind the Gap, comprehension levels are assessed through a modified cloze exercise in which students make selections to fill in the blanks of a text where approximately every seventh word has been omitted.

Skills
Microcomprehension

  • Reading fluency
  • Syntactic awareness
  • Inference
  • Comprehension monitoring

Standards covered

  • CCSS.ELA-LITERACY.CCRA.R.1 — Read closely to determine what the text says explicitly and to make logical inferences from it; cite specific textual evidence when writing or speaking to support conclusions drawn from the text.
  • CCSS.ELA-LITERACY.CCRA.R.10 — Read and comprehend complex literary and informational texts independently and proficiently.

In Show Off, students learn how common text structures give clues to meaning, using cues from illustrations to rearrange sentences in the correct sequential or chronological order.
Skills
Microcomprehension

  • Text structure: Organize sentences using problem/solution and cause/effect

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.

In Sloppy Scrolls, students practice the art of comprehension monitoring, or ensuring that they continually build and check a mental model of what they read. In the game, students are introduced to a world of enchanted scrolls that have lost their magic: they contain inconsistencies, and no longer make sense. The students must attempt to identify the inconsistencies by tapping the sentences that don’t match the rest of the passage. To increase the challenge of the game, some of the passages are presented without errors.

Skills
Microcomprehension

  • Comprehension Monitoring

Standards Covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In Storyboard, students practice making inferences by completing a storyboard that integrates relevant background knowledge missing from a given sentence.

Skills
Microcomprehension

  • Inference

Standards covered

  • CCSS.ELA-LITERACY.RL.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.1.1 — Ask and answer questions about key details in a text.

In Super Match, students work on developing cognitive flexibility, or the ability to track multiple elements simultaneously, by completing interactive puzzles that associate pictures and words across multiple dimensions (e.g., color and category, or starting sounds and category).

Skills
Microcomprehension

  • Cognitive flexibility

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.A — Sort words into categories (e.g., colors, clothing) to gain a sense of the concepts the categories represent.
  • CCSS.ELA-LITERACY.L.1.5.B — Define words by category and by one or more key attributes (e.g., a duck is a bird that swims; a tiger is a large cat with stripes).
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.

In Unmask That, students build their understanding of anaphora, a tool authors use to avoid repetition, by linking pronouns to their antecedents in text.

Skills
Microcomprehension

  • Syntactic awareness – anaphora

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

Comprehension Games in Amplify Reading: K–2

In Best Buddy, students examine character traits to determine which school club provides the best fit for their fictional friends.

Skills
Comprehension – Key Ideas and Details

  • Character Traits

Standards Covered

  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Book Club, students compare and contrast two books on the same topic or theme to determine which book best meets the needs of a character in the game.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Compare and Contrast Texts

Standards covered

  • CCSS.ELA-LITERACY.RI.1.9 — Identify basic similarities in and differences between two texts on the same topic (e.g., in illustrations, descriptions, or procedures).
  • CCSS.ELA-LITERACY.Rl.2.9 — Compare and contrast the most important points presented by two texts on the same topic.
  • CCSS.ELA-LITERACY.RL.2.9 — Compare and contrast two or more versions of the same story (e.g., Cinderella stories) by different authors or from different cultures.

In Debate-a-Ball, students practice identifying the best evidence to support a claim. Students pick an animal avatar to compete with an automated opponent in debates on familiar topics. To win, students must put forward the best evidence to support each claim more frequently than their opponents. They are taught to identify evidence that is factual and strongly related to the claim.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Evaluate evidence

Standards covered

  • CSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Picture This, students complete the illustrations for a story by identifying words that describe its setting, characters, problems, and solutions.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.1 — Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Storybox, students choose settings, situations, and solutions to send characters on different adventures, using details and context to help them resolve problems and complete the story.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.K.3 — With prompting and support, identify characters, settings, and major events in a story.

In Tube Tales, students learn the attributes of different genres and practice identifying them in brief texts.

Skills
Comprehension – Craft and Structure

  • Text schema

Standards covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.
  • CCSS.ELA-LITERACY.RI.2.5 — Know and use various text features (e.g., captions, bold print, subheadings, glossaries, indexes, electronic menus, icons) to locate key facts or information in a text efficiently.
  • CCSS.ELA-LITERACY.RI.2.10 — By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In What’s the Big Idea, students examine pictures, picture sequences, and short passages to practice differentiating the main idea from story details.

Skills
Comprehension – Key Ideas and Details

  • Main idea

Standards covered

  • CCSS.ELA-LITERACY.RI.K.2 — With prompting and support, identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.1.2 — Identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.2.2 — Identify the main topic of a multiparagraph text as well as the focus of specific paragraphs within the text.

Vocabulary Games in Amplify Reading: K–2

In Punchline!, students learn how words can have multiple meanings by channeling their inner comedian to crack homonym-based jokes.

Skills
Vocabulary

  • Multiple-meaning words

Standards covered

  • CCSS.ELA-LITERACY.L.2.4.A — Use sentence-level context as a clue to the meaning of a word or phrase.

In Shades of Meaning, students differentiate the nuances in similar words — first by ordering them from weakest to strongest, largest to smallest, or least to greatest; then by putting them into sentences that further clarify their meaning.

Skills
Vocabulary

  • Shades of meaning

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.D — Distinguish shades of meaning among verbs differing in manner (e.g., look, peek, glance, stare, glare, scowl) and adjectives differing in intensity (e.g., large, gigantic) by defining or choosing them or by acting out the meanings.
  • CCSS.ELA-LITERACY.L.2.5.B — Distinguish shades of meaning among closely related verbs (e.g., toss, throw, hurl) and closely related adjectives (e.g., thin, slender, skinny, scrawny).

Amplify Reading: K–2’s Integrated eReader

eReader Overview

Amplify Reading: K–2 has a new library of over 25 fiction and non-fiction ebooks and an adaptive algorithm that unlocks each book at the exact right point in a reader’s development. Moreover, they contain familiar interactions from the games so that students move seamlessly from text-embedded-in-games to games-embedded-in-text, maximizing their sense of growing competency.

The eReader also provides optional supports for its readers. From the settings icon on the title page of each book, students can turn on sentence numbering, read aloud functionality, and reveal words, as well as adjust the text size.

Student Experience
When students are ready for a text, it will appear as one of their quest steps.

When readers first unlock a new book, they read through it without interruption (with read-aloud support if appropriate).

In the second read, students discover embedded activities that repeat the familiar iconography of a game they previously mastered.

At the end of the book, additional activities evaluate students’ comprehension.

Achievements in books are part of the same overall reward system: helping your Curioso grow, just like achievement in skill-building games. Mastery of the content is reflected in the teacher dashboard within the given skill.

How teachers are using Amplify Reading

Independent study/rotation stations
Amplify Reading is a personalized, differentiated program designed to keep students engaged and on task in independent study. The program is most effective when used for a minimum of 45 minutes per week.

Other common uses
We designed the program to be flexible enough to fit any classroom model. Amplify Reading is browser-based, so it works on Chromebooks, iPads, laptops, desktops, and even iPhones. It can also be used at home to extend learning beyond the classroom.

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a new, curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they are eager to solve; teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

Scroll to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Offered in English and Spanish, Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Please scroll to learn more about the K–8 program and explore sample materials. (TK and high school materials are in development and will be available soon.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Assessment

mCLASS benchmark assessments, along with daily formative checks, measure not only what students know, but also how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and Multilingual / English Learner support, Amplify Desmos Math California will allow every student to find success in the math classroom.

An educational game screen with a worm on a log and numbered blocks. Adjacent is a worksheet titled "Finding the Missing Pair" with instructions and incomplete equations.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Two pages of a math workbook displaying exercises on determining coordinates after rotation. The pages include diagrams, tables, and practice problems.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between Big Ideas. The grade-level diagram changes through the course based on the math concepts being addressed.

Focus, coherence, and rigor

Each lesson highlights why the content being covered is important, how students will engage with the mathematics, and what students will do with the learning. Our lesson opener helps teachers understand the most important concepts of the lesson, and includes the Drivers of Investigation (DI), Content Connections (CC), and Standards for Mathematical Practice (SMP) that drive learning in each lesson.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.
A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed in such a way that all students can access the basic mathematical concepts, but they also offer possibilities for advanced exploration and problem-solving for those ready for more complex work, promoting an inclusive and differentiated learning environment.

Our innovative course-level investigations are designed to facilitate multipart exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, equipping students with a strong foundation in interpreting and applying data-driven solutions. The Environmental Principles and Concepts (EP&Cs) are also a focus of our investigations, enabling students to understand and appreciate the coherence and interrelationship of Earth’s environmental systems.

A focus on multilingual and English learners

Children sitting at desks in a classroom with a large illustrated caterpillar on the wall. Beside them are printed educational materials labeled “Amplify Desmos Math” and “Ying’s Aquarium Story.”.

In building Amplify Desmos Math California, we partnered with the English Learner Success Forum (ELSF) to provide guidance on our multilingual/English learner support for teachers. ELSF is a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF’s guiding documents reflect research-based instructional strategies that are critical to curriculum design and were created by researchers, linguists, and practitioners from across the country. ELSF reviewed our materials and provided directional guidance and feedback to ensure that the program fully supports multilingual/English learners.

A component of our K–5 curriculum is the engaging unit stories that interweave mathematics with real-life situations and relatable narratives. These unit stories are specifically crafted to inspire curiosity and foster a deep connection between the learner and the math concepts being explored. This unique approach not only makes learning fun and interesting, but also allows our young learners to see themselves in the math.

To help students grow their domain-specific and academic vocabulary, Amplify Desmos Math California provides embedded vocabulary routines, such as prompting teachers to use a Frayer Model. These routines allow students to make connections to new language and offer repeated opportunities to develop and refine language.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resource has leveled ELD (Emerging, Expanding, Bridging) differentiation to support all levels of Multilingual and English Learners. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Uploaded digital glossary for languages other than Spanish. Up to nine languages of translations will be provided for.

Amplify Desmos Math California will include support resources for Spanish-speaking students across TK–Algebra 1/Integrated I beginning in the 20262027 school year.

A computer displays an educational activity about measuring platform heights. A notebook page is layered behind it, with a colorful hamster-themed illustration.

K–5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math California.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Digital educational activity showing a blue backpack illustration with dots, a task to match dots on cards, and printed sheet featuring a similar dot-matching exercise.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Illustration of a bear choosing a path with more mushrooms. Activity book page titled "A Furry Feast" with groups of objects to compare quantities.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math California.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital educational activity showing a math problem about leaves on a kalo plant with a related worksheet on plant growth.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive math activity for kids featuring a frog and number line for subtraction problems, asking to find differences to locate bugs.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math California.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Two digital worksheets about Theo's aquarium with tasks to estimate animal quantities using draggable graphs and illustrations of fish, frogs, and shrimps.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Educational activity on a screen showing a worm and blocks with numbers. Another page shows an activity titled "Finding the Missing Pair," with numbered options and a video prompt.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math California.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Math activity screenshot showing a problem to calculate the area of an unpainted wall space with given side lengths in a room diagram.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Activity sheets showing a bar graph and a table for counting animal stickers: 7 rabbits, 5 raccoons, and 2 foxes. Includes instructions for arranging data points on a graph.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Screenshot of a digital math activity showing a fraction number line task with a log-cutting visual and an instruction page titled "Locating Fractions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity displays a drag-and-drop task to determine platform heights using tube lengths, showing a room scene and instructions on a digital interface.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math California.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

Activity worksheet and digital screen showing a panda on a cliff, with instructions about placing a missing bamboo shoot to help it reach the leaf.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screen showing a student activity about decomposing a figure into prisms, with a drag-and-drop exercise and an adjacent worksheet labeled "Seeing Prisms.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

6–A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Laptop showing a math activity with geometric shapes. Two textbooks titled "Amplify Desmos Math" are displayed above.
An educational document titled "Scope and Sequence" for Grade 6 math, designed in collaboration with Amplify Desmos Math, outlining six units with instructional and optional days for topics such as fractions, integers, and expressions.
Program structure

Get to know the content and structure of Grade 6 Amplify Desmos Math California.

Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Area; Unit 3, Sub-Unit 1: Units and Measurement; and Unit 6, Sub-Unit 1: Solving Equations.

A digital activity showing two model trains on a track with a question about speed. A printed page on the right is titled "Model Trains" with warm-up instructions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital illustration of math balancing scales featuring boxes and a fox, alongside a worksheet displaying similar content and activities for learning math concepts.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 7 math curriculum outline, featuring units on scale drawings, proportional relationships, measuring circles, rational numbers, operations, equations, angles, area, and probability with sequencing and days allocated. Perfectly aligned with Amplify Desmos Math for New York Math standards.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Scaled Copies; Unit 4, Sub-Unit 1: Percentages as Proportional Relationships; and Unit 6, Sub-Unit 1: Equations and Tape Diagrams.

Activity page showing a grid for shape creation with an area of 8 square centimeters. Includes shape options and instructions on rotation. A booklet page displays area challenges and warm-up tasks.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screenshot of an educational website showing a math activity featuring a sheep named Shira. There is a graph and a worksheet on inequalities displayed.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 8 math curriculum chart featuring 9 units, such as Rigid Transformations and Congruence, with Suggested Instructional days. Each unit outlines instructional days, assessment days, and optional days—complemented by insights from Amplify Desmos Math to enhance your New York math learning experience.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Rigid Transformations; Unit 3, Sub-Unit 2: Linear Relationships; and Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Image of a digital math activity titled "Line Capture #2" featuring a grid, equations, and instructions. A paper worksheet with graphs and a "Line Zapper" title is displayed alongside.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Algebra 1 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

A digital educational interface shows a graph with data points and textual instructions comparing year and breeding pairs. Adjacent is a page discussing penguin populations with charts and illustrations.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

Contact us

For questions, samples, or more information, please contact your local Amplify Account Executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com

Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com

Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com

Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com

Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com

San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com

Riverside and L.A. County
Brian Roy
Account Executive
(818) 967-1674
broy@amplify.com

San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com

Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com

Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

Request additional samples.

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Amplify Desmos Math for Colonial School District

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S3-02: How science strengthens literacy and language development

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In our second episode of the season, we continue finding ways that science is overlooked and how it can be better utilized in schools—and as an ally to other subjects!

We sat down with Susan Gomez Zwiep, former middle school science teacher and senior science educator and staff advocate at BSCS Science Learning. She shared past experiences and research that shows the benefits of integrating science and literacy, as well as strategies for applying these ideas in the classroom.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Dr. Susan Gomez Zwiep (00:00):
We started to see this trend of students communicating more in English because they were excited about the science that they had been learning.

Eric Cross (00:10):
Welcome to Science Connections. I’m your host Eric Cross. In this third season, we’re exploring the theme of science as the underdog. And last time around, we delved into the data showing that compared to other subjects, science is often put on the back burner. Now it’s time to explore why it’s so important to change that and how to do it effectively. So over the course of these coming episodes, we’re gonna make the case for science and equip you with data and strategies for advancing science in your own home, school, or community. To kick things off, we’re going to spend a few episodes going in depth on the integration of science and English instruction. We know we need to dramatically improve literacy rates in this country, and as we’ll show in the coming episodes, science can be a key ally in that goal. We’ll also show how language development and literacy instruction can support science. Yes, it can be a win-win, folks. To start out, I’m joined by someone who has been studying science and language development for more than a decade. Dr. Susan Gomez Zwiep is a senior science educator and staff advocate for BSCS Science Learning. On this episode, she talks about her own experience as a middle school science teacher and share some key insights and strategies from the research on integrating science and English language development. Please enjoy this conversation with Dr. Susan Gomez Zwiep.

Eric Cross (01:36):
Welcome to the podcast. Thank you for being here and having this really important conversation. So I’m so glad you can make it, Susan.

Dr. Susan Gomez Zwiep (01:43):
Yeah, I’m excited to be here.

Eric Cross (01:44):
We’re gonna talk all about language development and science. But first I was hoping that you can just kind of set the stage and tell the listeners about yourself and how you came about to studying this specific subject.

Dr. Susan Gomez Zwiep (01:57):
Sure. So I am a California native. I grew up in the San Gabriel Valley and that’s where I started teaching. I have an undergraduate degree in integrated biology from UC Berkeley. And I thought I was gonna go be a field scientist. And while I was waiting for grad school applications to run their course, I took a substitute job in Montebello to kind of bide my time. And because I had a science degree, they asked if I would take a permanent placement, well, a temporary permanent placement. And I said sure. And found myself teaching seventh and eighth grade general science to a population that at the time was about 68% English language learners, in a school that you would consider urban, under-resourced with a community that was large percentage immigrants from Mexico, Central and South America. And I never looked back. I kept that job.

Dr. Susan Gomez Zwiep (03:04):
I loved it. I love the middle school classroom. I love teaching science to my middle school students and truly, truly just found a really good home for my love of science, but also my love for talking about science and helping other people understand science. So at some point I was entertained with the idea of going to graduate school. So while I was still teaching, I actually did a Ph.D. At the University of Southern California in the science education field. And once there, realized that I actually had a unique experience in higher ed, that experience of teaching with populations that are learning English or have home languages other than English, was actually not common in higher ed circles. And being from that community was also not common. And so I pretty quickly leveraged that experience to combat what I think is universally agreed as an equity issue that in my school where I taught, the district had advocated for ELs to get an extra hour of language development in order to promote their English language proficiency.

Dr. Susan Gomez Zwiep (04:28):
And, our principal wisely said, there are not enough English-only students in this school to do that without losing all of our science teachers because there’s not enough kids left to actually fill a day, a teacher’s day. And she said, these kids learn more language in their science courses than they do anywhere else, so I don’t wanna remove that. But the reality is, is that at that time–this was in the late nineties, early two thousands–if you were not proficient in English, you went to more time with language development. And that makes a lot of sense in some ways. But when you look at the big picture, you realize, well, that means those kids aren’t going to science and they’re not having opportunities to have consistent quality science learning opportunities simply because they spoke a language other than English at home. And so that’s really how I fell into this work.

Eric Cross (05:28):
And that has a downstream effect. I mean, once you start pulling students from a course, that automatically sets the trajectory for later outcomes, which we ultimately see in STEM fields where we, we don’t see the population of our students represented in the STEM fields. Now, I know this goes back a few years, but you were doing research for your Ph.D. What did you start to follow?

Dr. Susan Gomez Zwiep (05:50):
Yeah, so I eventually took a position at Cal State Long Beach, which was not by chance, it’s a Hispanic-serving institution, and that’s where I wanted to do my academic work. And once I was there, sought funding with a district to support elementary science learning. So it had a teacher professional learning component that was both summer and in-class, sort of like PD in the classroom component. And the district came back and said, the only way you are gonna get time to even talk about science in elementary school is if it’s attached to language development. And so that’s what we did. It was a three-year grant, there was a sister grant that followed–so all told, it was about a five-year program where we basically said, what if instead of following the traditional ELD, English Language Development curriculum, we modified and put science as the context for language development in the K2 bands.

Dr. Susan Gomez Zwiep (07:01):
Teachers at the district traditionally had not been excited about their language development curriculum until we said, we’re gonna take that and we’re gonna do some science instead. And then they were like, no, no, no! We love our ELD curriculum. But they hung in there with us. The project was successful enough that it actually became a K4 and then a K5 project. The district ended up having to put in a ton of money into this because the grant only paid for so much. But their schools actually wanted “in” ’cause what they heard is when we put science as a context for language development, kids were talking more. Kids were speaking in English more. Kids were writing more. Kids were engaged. And the ultimate, kids were developing English quickly and in a community where you could actually operate within the community without speaking English. These are Spanish-speaking communities and the schools operated in Spanish outside the classroom. So if you walked into the school’s office, the principal secretary, the person who manned the door, spoke Spanish. The field supervisors that the lunch supervisors spoke Spanish.

Eric Cross (08:17):
The non-teaching staff that are supporting the rest of the students outside of the classroom.

Dr. Susan Gomez Zwiep (08:23):
Yeah. Everybody spoke Spanish and they spoke Spanish at school. And even the principals came back and said, from being in this project, that the kids were coming into the office and had transitioned to communicating in English, especially when they wanted to talk about science, and they really wanted to talk about science ’cause they were super excited about the stuff that they were learning. So we started to see this trend of students communicating more in English because they were excited about the science that they had been learning. And yeah, that sold itself and we had schools jumping in.

Eric Cross (09:01):
So you started off in a situation where you were told that you had to, if you wanna get science and you had to merge it into English, basically. And is it fair to say that that’s because of testing requirements that schools have on them? Like this is what gets analyzed or what was the purpose behind that?

Dr. Susan Gomez Zwiep (09:15):
It was district policy and it was site policy and those policies were put into place for very good intentions. Students don’t get reclassified into English only, and reclassification is how you traditionally got access to all this other programming, electives, AP college prep, all those other things. And the best way to get them reclassified was to learn English, and to learn it sooner rather than later. So it was in an attempt to get kids reclassified from English learner to English proficient.

Eric Cross (09:55):
And then during that process it was able to be expanded to K4. And then with these open-minded teachers, you gave them the content, they used science as the context for learning. And then your students who were mostly emerging bilinguals and multilingual students, you found that they started speaking English more frequently. What did you make of that result? Like what did you come to after seeing all that happen?

Dr. Susan Gomez Zwiep (10:20):
So I do wanna say that there’s a couple of reasons why we think this works so well. But I have to really acknowledge that there were linguistics, second language acquisition experts that were part of this team. And we wouldn’t have been able to make any of this work if it was purely science educators leading this cause. There’s a lot we didn’t understand about language development, and they really helped us. But one of the things that we think is unique about science, there’s a few really important aspects–one is that we all have experiences in the natural world, since we can process outside information, right? We all have observations, things we’ve observed with our eyes, we’ve heard, we’ve felt, and all of those experiences build some pretty good science ideas before we enter formal schooling. You know, kids already have ideas about this.

Dr. Susan Gomez Zwiep (11:20):
We don’t have to give them language for it. They already have these concepts and experiences. The other thing is that we are inherently interested in the natural world we occupy. And so we’re curious, science is often considered cool, there are science channels and science fiction movies and science fiction books and magazines–and this is just … it’s just cool. And that tended to be the trigger, you know, when we gave kids something interesting to observe. A Ziploc bag with water that we added an Alka-Seltzer to, and strange things starts happening in the baggie. That curiosity, that excitement allowed kids to leap over any concerns they had about the language they were supposed to use in the classroom. One of the most difficult things about learning a language is using a language that is imperfect. So saying things and communicating in a language that you are not a hundred percent confident about, that you’re not sure you’re using the right words or the right tenses. But when kids were excited about this thing in a Ziploc bag, they didn’t care. They communicated however they could, sometimes in their primary language or their home language, sometimes in imperfect English, but by and large they just communicated. They did it in oral language, like listening and speaking, but they also did it in writing. And that was easy. Like we didn’t have to do anything other than provide interesting science experiences. And that’s, that’s pretty common.

Eric Cross (13:06):
Yeah. I feel like, to co-sign on the science is cool, it is objectively, if a matter of fact, even just looking at the Oscars, like we have multiverse, you know, we have sci-fi you know, the costume designer of Wakanda Forever. We have all of these different movies that are all founded in some kind of these scientific principles. And so the idea that science is cool and organic, naturally engaging is something I think we, we all can connect to and it resonates with all of us. So I feel like is sort of your origin story too.

Dr. Susan Gomez Zwiep (13:33):
That’s the origin story.

Eric Cross (13:34):
That’s the origin story right there, to continue with this like movie theme. Now if we fast forward to today, based on all the research that you’ve seen since then, and your experience, why would you advocate merging English language development and science?

Dr. Susan Gomez Zwiep (13:49):
Well, for one, the research that we conducted actually provided some really nice evidence that showed, even though we had essentially stole minutes from language development time and inserted science. And on state mandated tests and on their students’ language proficiency measures, the kids in the program with the blended, did significantly better than students who were getting ELD instruction alone. Traditional ELD instruction. And that kind of blew our mind. We would’ve been happy if they had done just fine. Like we could put science into a student’s day and do no harm. They could get their language development; they could get science. But in fact, what we found was that they did better. That they actually gained English more quickly and it showed up in multiple measures, including the state English language arts assessment, which again, kind of blew our mind.

Eric Cross (14:55):
So just to be clear about the study that you did, you looked at two groups and one was the blended science and English language development, and then the other one was a control group. And the blended group ended up showing more improvement.

Dr. Susan Gomez Zwiep (15:09):
Yes. So there’s quite a bit of research now, this research was done in the early two thousands, and the research has built around it to really suggest that this does seem to be a more efficient way to promote language development while still maintaining students’ access to a core content area. But in recent years, the standards have shifted and that has been just a remarkable, wonderful change. And both standards have shifted. So when we did our research, we did it under the old California Science standards that were fairly heavy in technical terms. They were heavy in science concepts rather than kids doing things. And they were a much narrower focus.

Eric Cross (16:04):
And these are the standards that most of us grew up on, right? Those of us who are pretty much teachers in the classroom today pretty much grew up on what you’re talking about. Is that fair to say?

Dr. Susan Gomez Zwiep (16:12):
That’s fair to say, yes. So the new standards that we have now, the California NGSS Standards emphasize not just ideas, but they also emphasize students doing things in science. And we didn’t have to build-in language portions to the standards. They now exist. The NGSS is a very, very rich linguistic opportunity for students. And at the same time, the way we’ve thought about language development has also shifted. We used to talk about language and science… we used to think about science as a lot of words, and you had to know the words, you had to have this technical language. And we’ve sort of shifted that to really thinking about, language is no longer a prerequisite for science learning. Language is now developed through the science learning or the content learning experiences.

Eric Cross (17:11):
So now there’s more chances to integrate English into science. Have you seen success stories or have you seen examples of this? Maybe just anecdotes of teachers kind of doing this since you’ve been doing this research and kind of watching. If so, would you mind sharing one or two?

Dr. Susan Gomez Zwiep (17:30):
Yeah. And I will just give a nod to Dr. Dr. Okie Lee who’s now at NYU who has really led sort of this reconception of language and science. And one of the ways she talks about it is this notion that I enter this learning experience, I enter this observation of this phenomena with fairly naive, simple scientific ideas. And my language about it is equally simple. But as I develop more and more ideas, as my understanding of the phenomenon, what I figured out becomes more sophisticated, I need more sophisticated language. And so what we’re starting to see are these spaces where teachers are building science ideas and science and understanding along with the language. And in order to do that, you really need to know what’s the storyline arc of my science lesson? What do they figure out in lesson one? What do they figure out in lesson two?

Dr. Susan Gomez Zwiep (18:35):
What do they figure out in lesson three? How are the science ideas building over time? So that I can then look at the language that they’re using and what language supports do I need in order to allow students to not only engage and figure things out, but communicate their ideas about it. And so we’re seeing teachers blow up what we call language, what we call text. It’s not just words. It’s not just sentences written on a paper, but it’s models, it’s pictorial representations, it’s gestures, it’s this wide range. We pretty much said, let’s blow language up. Let’s like use all of the linguistic registers that we have in order to make meaning of what we’re seeing it in together in this classroom. So that’s one thing that we’re starting to see. The other thing is that teachers are really allowing students opportunities to use what we call social language, non-standard dialects.

Dr. Susan Gomez Zwiep (19:40):
The language I use at home and with my friends. Because earlier I had said, we have all these experiences and those experiences in the world are tied up in my social register. They’re tied up in my home language ’cause that’s where I experience them. And to let students have access to using that language in the classroom, especially initially in a unit, means we’re giving ’em access to those experiences that they have that are related to the phenomena under study. So I totally understand the benefit of promoting academic language and promoting language frames and forms that we use in more academic settings. But it’s a sticky wicket. You have to be careful how you tell students about the way you want them to communicate. Because when we tell them that language that you use at home with your friends and family is not welcome here, we can send a message that they’re not welcome here. And that those experiences that they have outside of classroom about how things fall, the way sunlight heats up different surfaces, where you’ll find plants and what plants you will find based on conditions. All of those experiences, we’re sending a message that those are not welcome in the classroom. And so this expansion of language, including non-standard dialects and even home language, is really important for letting students bring their whole selves into the classroom.

Eric Cross (21:23):
I love what you just said. It legitimizes the funds of knowledge, the language, the cultures that our students are bringing to the table. I remember when I first learned the word code-switching in college and you know, I’m biracial, I grew up in my home community and my school community were two different communities and I ethnically, culturally belonged to both. And I had to code-switch in order to kind of survive and be accepted into different communities. And not until I was in college did I actually understand what I was doing. Now there were all kinds of teasing and jokes that went on to how I would talk if I code-switched improperly. And in my classroom, I would see students who would explain concepts in a way that was maybe like a casual register. They just were explaining it the best way they could.

Eric Cross (22:10):
And the way they were speaking was kind of denigrated or it was seen as negative even though they were communicating their concept. And when I became a middle school teacher, one of my, I don’t know, it’s like sometimes when you teach, you get to, you change how you were taught or what you experience and legitimizing my students’ language, and they would tell these beautiful stories and in their most common like, casual language, but they’re explaining the concept brilliantly. And it was phenomenal to see this barrier be removed of saying, you have to talk like this in order to be a scientist or you have to say these right words. And, and that’s what I feel like I’m hearing that in how you’re describing kind of how science has been done and what language can do to certain groups of students.

Dr. Susan Gomez Zwiep (22:58):
Yeah, very much so. And you know, back to the origin story, you know, I grew up in a multi-generational household. My mom, my aunt, my grandmother, Spanish was their first language, but they lost it because my mom was raised in Riverside and she, you know, went to school in the, the fifties and sixties and back then you weren’t allowed to speak Spanish at school. And so they lost the language.

Eric Cross (23:27):
They weren’t allowed to speak it at all.

Dr. Susan Gomez Zwiep (23:29):
At all. I didn’t directly observe it, but that is the story that my family tells, that there was no English spoken anywhere on school grounds. And that was a different issue. Right? That was very much for people unfamiliar with some of the history in Southern California. Their segregated schools, severe racism, linguistic racism, racial racism against Mexicans was a real thing. But yet I grew up in this household where the sort of way of speaking, like I think many Mexican households, the context is everything. So you can’t get to the facts until you’ve told the whole context of everything happening around it. So we used to joke that we couldn’t send my grandmother to the doctor by herself ’cause he had 15 minutes, and she was gonna take 20 just to tell him how she got there before she got to why she was there. But this telling of the context, the telling of the story around the idea is part of the linguistic, this sort of linguistic way of my household. When I got to school, I had to learn to drop it because teachers found me off topic. You know, I still have to be careful how I express things and sometimes I’m not a fast storyteller <laugh>, and I monitor that for myself. So I can only imagine what it’s like to be a kid in a classroom.

Eric Cross (24:59):
Right. And there are so many constraints in the school day, you know, especially if you’re multi-subject and you’re elementary and you’re teaching multiple subjects and someone’s trying to tell a story and you’re just like, land the plane! And they’ve, you know, gotta tell ’em the story, but realizing that when you look at it through a lens of like, culturally, this is how we communicate, then it reframes what the student is trying to do. They’re communicating to you based on how they’ve learned to communicate and they’re including essential parts of the story. And so how do you both honor that while also, you know, certain things like brevity and being concise and things like that that they’ll have to learn. But also honoring that and making sure that there’s space for that in your classroom. Even me, I’m thinking about this where I had students record this video and it was one minute to two-and-a-half minutes explaining three concepts. And I had students coming up to me afterwards saying, Mr. Cross, I need to record two videos because two-and-a-half minutes is not long enough. And I was like, how? I even extended it. But I’m realizing and listening to you and going, they’re probably not just getting to the point. They’re probably including more context into this because that’s how they story tell and that was actually part of the lesson.

Eric Cross (26:12):
So now I need to go back and extend their time that I’ve given them for <laugh> that project. I wanna come back to kind of, since we’re on this topic about why this is also an equity issue. Mm-hmm. <affirmative>. So we were talking about language, you touched on this a bit, and we were talking about integrating into science, but can we go a little bit further into how this integrated approach maybe can benefit English language learners in particular? And maybe anything else that’s related to equity that comes to mind.

Dr. Susan Gomez Zwiep (26:40):
So there’s a couple of layers of the equity issue. The most tangible and clear is student access. If we wait until students develop English proficiency to allow them access to quality science learning, we lose a tremendous number of students that could not only could they benefit from science, we could benefit from their entering this science conversation. And I was at a university and I was in a college of natural sciences and we were dedicated to increasing the diversity of the faculty. And it was a struggle ’cause the number of Ph.D. science ed or biology or chemistry academics that come from marginalized populations is very, very small. And it’s not by accident. You know, the number of students that make it into the next level, that make it into college prep courses, that make it into STEM majors, that complete STEM majors and go on to either careers or advanced degrees narrows at every possible step.

Dr. Susan Gomez Zwiep (28:01):
And so the equity issue is really one of access. And as basic as that is, it’s the easiest to solve. So that’s the first layer of equity. But the second issue around equity is how we engage these students once they’re in this space. Do we make it possible for them to see themselves as a scientist or an engineer? Are we creating learning experiences that not only allow them to use all the sense-making resources that they have, but do we make them feel like they’re valuable and useful in that space? Because there’s a lot of people that will say, I could be successful as a scientist, but I’m not willing to give up who I am in order to do that. And that’s a real thing. There’s a lot of research about like, why are they leaving? Like why, you know, is it because they’re not able?

Dr. Susan Gomez Zwiep (29:05):
Is it because they don’t see themselves as being capable? And now I think we’re looking at this as a different issue. It’s not that students don’t see themselves as capable and not that they’re not achieving. They see the cost that it will take to enter these fields and essentially not be able to be their full selves. So that’s the second equity issue. And in both cases we lose. As a society, we lose. We lose access to the full range of human resources that we have, and we lose access to their unique perspectives that they would bring to real problems facing us. It’s like all hands-on deck. We need to stop making it too difficult to participate in the conversation and we need to be more inclusive about how we invite these other perspectives and how we respect and utilize their ways of sense-making. That may not be Western science ways that we have in our books now, but hopefully those science materials are gonna change and we’re gonna start to see other ways of sense-making and other people involved in the stories that we tell around science concepts.

Eric Cross (30:29):
And just to be clear, this practice in integration, while it lifts up equity for marginalized or underrepresented groups or students who are emerging bilinguals or students who typically we don’t see representation of, this approach also benefits native speakers as well. Correct?

Dr. Susan Gomez Zwiep (30:47):
Yeah. And there’s actually a group of native speakers that come from text poor homes. It’s typical in underserved communities. Poor people living in poverty that may be native English speakers. They may not be marginalized populations. But they don’t have access to like text. And so that’s another group altogether that needs linguistic support. And then once you have all voices in the room contributing, everybody benefits because now the conversation, the building understanding conversation we’re having or the sense-making conversation that we’re having has everybody involved. And we all benefit from that.

Eric Cross (31:33):
And we see, I think one of the benefits about a country like the U.S., is we have such a heterogeneous group of people. And when we’re moving in the same direction, we’re all coming to the same problem, but from different perspectives and we’re able to come up with more innovative and novel solutions to them. And that’s kind of what I’m hearing is like as we generate scientists that are all coming from different backgrounds, we’re gonna be able to solve future problems, current problems a lot more effectively because nobody has a monopoly on perspective. Nobody has a monopoly on knowledge or the fastest way to do something or the best way to do something.

Dr. Susan Gomez Zwiep (32:11):
Right. Right. And traditionally we really have privileged particular experiences, particular ways of sense-making particular linguistic registers. And if we could just kind of put that privileged ways aside and open up space for everybody to feel like they have a voice, I think the next generation could change the world. I think they could solve some real problems. I’m truly hopeful that they would see themselves not just as capable, but as necessary in these pursuits.

Eric Cross (32:50):
So what does it actually look like today to do this work in instruction well? So to integrate the science, to integrate literacy, to take the benefits of the things that we’ve been talking about. What are some practical things that educators could do to get started, whether it’s in early, you know, K5 or middle school or even high school.

Dr. Susan Gomez Zwiep (33:13):
So I will say, I’m gonna kind of separate ’cause in the elementary space, students are primarily developing literacy in multiple languages. The language of the classroom, typically English, home language, languages, they may be multilingual. In the secondary setting where students tend to have developed social language in some language, it’s a little different. So I’m gonna kind of separate those two. So for elementary spaces where teachers tend to teach multiple things, I recommend that you get a partner. Don’t do this work alone. You cannot do this work alone. I mean you can, but it’s very frustrating and not nearly as much fun. So you really wanna take a look at what is the science that kids are going to be engaged in. Because when we look at science first and build language development around it, the experience tends to be more authentic and organic.

Dr. Susan Gomez Zwiep (34:18):
And what we used to do is we used to, like when we were talking about the science, we’d monitor the language we were using and then use that to say these are the registers. This is the language that we use when we were thinking about this. So if students are gonna use this, these are the scaffolds they’re gonna need. ‘Cause to do it, well, to do it efficiently, the scaffolds need to be specific to the science learning. So if we’re doing cause and effect, those are specific linguistic scaffolds that are different than if, say we’re doing model and systems and systems models, those are a whole other slew of scaffolds. And so you wanna be really tending to, what is the science being discussed and what is the language that kids are going to use and build scaffolds around it.

Dr. Susan Gomez Zwiep (35:10):
And then you also wanna think about what is the social language? What are the experience that kids will have either in words or pictures that I can leverage in this space. And then you wanna do that for the arc of the unit and slowly increase sophistication around those linguistic supports, as well as the science learning. But if kids have social language and they’re now in, there’s a group we call long-term English learners who have not been reclassified way beyond what the typical reclassification is. And that actually is important to think about because if you think about the kinder group, the group of kindergartners that enter a school when they’re five or six, those kids are going to go from grade to grade to grade. And as students develop proficiency, will get reclassified and they move out of this group that we’re still calling English learners.

Dr. Susan Gomez Zwiep (36:10):
So by the time you get to like seventh, eighth, ninth grade, if they’re still students in that category, they have very different needs on average than the group we started with. Often when we talk about secondary or these long-term English learners, we can leverage social language a lot more, but have to build the scaffolds more carefully around, for lack of a better word, the more academic content transferring that those social nonverbal language into more sophisticated forms. I think in any setting, you wanna utilize your resources. If I’m in a secondary space and I have a language development teacher and I’m not talking to her or him or they, that’s a problem. You need to go talk to the other people that have these same kids and talk to them about, how are you engaging in language, what are you doing?

Dr. Susan Gomez Zwiep (37:07):
Because you know, you could actually have a lesson, maybe this is a lesson about energy and you’re using a model and the kids are creating an initial model. And over in ELD land, they’re doing some linguistic supports. They’re working on some forms and functions of language. You could talk about the catapult, you could talk about the solar heater. You could use the context of the science conversation, which has a whole bunch of tangible experiences. You know, there’s the solar heater in front of you. I don’t need to keep it all in my head ’cause it’s in front of me and we can point to things and talk about things by manipulating the materials. And then I can take all of that and my ELD partner can use that as context when available. But it takes collaboration, but it’s collaboration well spent. And it’s more challenging in the initial phases of the collaboration. Once you kind of the get into the groove, it becomes a lot easier.

Eric Cross (38:16):
The meta of this, as we talk about integrating science and literacy is, and this is great advice, but it’s basically integrate your science teachers with your English teachers and co-plan and do this work together. It’s a force multiplier. One, you’re both, you’re getting two specialists together. It also, I’m just listening to just the parallels. It also resembles what you actually do in the STEM fields of collaboration working together to problem-solve, and you’re modeling for your students what you want to happen. And if I was an administrator listening to this, someone who had control, like master schedules and things like that, there also needs to be space created for these teachers to talk to each other and plan and do all these other things to kind of maybe come up with like interdisciplinary units or even just meet and begin the conversation. It just seems like such great advice.

Dr. Susan Gomez Zwiep (39:07):
Yeah. We’re professionals. We have academic degrees and credentials and experience in the classroom and yet more often than not, we leave it to the students in the seats to make the connections between my class and the class they go to next. And that’s not fair. We need to be talking to each other. So if we’re talking about argumentation, argumentation in science and argumentation in ELA and argumentation in math–we’re not even talking about the same thing. I mean, cognitively we’re talking about taking some evidence and creating a claim and supporting it, but what we mean by evidence is very different in the different disciplines. What counts as more convincing evidence changes. And yet we assume that because we say evidence in one class, the kids know what we’re talking about. And the kids are sitting there going, which one is this? Which evidence are you talking about? Because last period it was something else. And so I think we also need to really consider who’s in the best position to clarify the connections and the integration because we leave it to kids more often than not right now.

Eric Cross (40:19):
I agree. Just having those conversations and defining your terms and agreeing on them just to make it easier for students. ‘Cause you’re right, they are left to make those connections or bridge the gaps. And when you have an education system for many schools, I think most of us, it’s still pretty siloed. You’re still kind of like, especially when you’re in secondary, it’s we’re doing this or even elementary, different times of the day you do different subjects, versus the way that we experience life itself or even our professions. We’re actually integrating science and math and reading and writing throughout the day, and ebbs and flows going back and forth. And without making those explicit connections, we’re leaving a lot of things to chance, hoping that the learning’s there in such a valuable moment. Before we go, I’m wondering if you have a parting message for listeners about the topic of integrating science and literacy. You’ve already said so many amazing things, but you have the platform speaking to educators and folks out there. What would you wanna say to them?

Dr. Susan Gomez Zwiep (41:18):
This is not an easy endeavor. The system that we operate in does not make this effort easy, but it is worth it. It is worth it to the kids in our classrooms. It is worth it to the building of a scientific community and a scientifically literate populace. It’s important to solving problems in the future. It’s important to have kids feel like regardless of how they say things, that they belong in a classroom. If we can relax the sort of linguistic demands on kids and let them enter science learning in a way that allows them to use all their resources and they’re curious, they can really leverage both areas in a way that they don’t do individually. It’s really hard to think about what it is I’m trying to say if I’m worried about how I have to say it. And so we really need to think about, when are those times that we’re gonna let kids just tell us what it is that they’re excited about and when is it that we’re going to help them craft a more formalized language around those ideas. Right now we do a really good job at that second half. We need to do better at the first.

Eric Cross (42:46):
Susan, thank you so much for joining us today and for sharing your expertise and your wisdom and your passion for serving the students and for bringing everybody to the table through language and through science. We really appreciate it and the listeners will too.

Dr. Susan Gomez Zwiep (43:03):
Thank you so much. This is my favorite topic.

Eric Cross (43:06):
Thanks so much for listening to my conversation with Dr. Susan Gomez Zwiep, senior science educator and staff advocate at BSCS Science Learning. And please remember to subscribe to Science Connections so that you don’t miss any of the episodes in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners find the show. Next time on the show, we’re going to continue exploring the how and why of integrating science and literacy instruction.

Speaker 3 (43:35):
When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences. A huge part of the work of a scientist is not just at a bench conducting experiments, but even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment.

Eric Cross (43:57):
That’s next time on Science Connections. Thanks so much for listening.

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What Dr. Susan Gomez Zwiep says about science

“When we used science as a context for language development, kids were talking more, kids were writing more, kids were engaged.”

– Dr. Susan Gomez Zwiep

Senior Science Educator, BSCS Science Learning

Meet the guests

Susan Gomez Zwiep began her career in science education as a middle school science teacher in Los Angeles where she spent over 12 years working in urban schools. Prior to joining BSCS, Susan worked at California State University, Long Beach as a Professor of Science Education.

Susan has also worked as a Regional Director for the K-12 Alliance, providing high-quality professional development in science and mathematics for K12 educators, including the CA NGSS Early Implementer Initiative. Susan consistently works toward establishing equitable access for all students to rigorous, inquiry-based science instruction and supporting teachers in their journey to become advocates for students, science education, and their own professional development.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S2-05: Moving students forward with project-based learning

A promotional image for the podcast "Science Connections" featuring guest Janis Lodge and the topic "Moving students forward with project-based learning." Season 2, Episode 5.

In this episode, Eric Cross sits with K–5 educator Janis Lodge to chat about building on her own science curriculum to create meaningful project-based learning experiences. Janis shares her work teaching Gifted and Talented Education (GATE), and how to use those practices to help accelerate the learning of all students. Eric and Janis also talk about making time for science within K–5 classrooms. Explore more from Science Connections by visiting our main page.

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Janis Lodge (00:00):
To me, the reward of having those kids feel like they accomplished something and the way that they can take ownership of it and go in so many different directions, I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it.

Eric Cross (00:18):
Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Janis Lodge. Janis is a third-grade teacher in Orange County, California, with a specialization in gifted and talented education. Recently, Janis was awarded the Orange County Council for the Gifted and Talented Education Classroom grant. This grant funds a project that provides an extension to her third-grade science unit about environments and survival. Through this project, students will think like a biomimicry engineer as they design a robot that is inspired by an innovation found in nature. In this episode, we discuss how she uses interdisciplinary teaching practices to make time for science learning; why gifted and talented education strategies can benefit all students; and her process for creating a problem-based lesson that ultimately earned her a grant for her classroom. And now, please enjoy my conversation with Janis Lodge. One, welcome! Thanks for being here.

Janis Lodge (01:14):
Of course, I am happy to do it. I’m excited for the opportunity.

Eric Cross (01:17):
Of course! Yeah. Elementary school teachers in science, I feel like there’s so many things to have conversations about. And some of the things that you’ve really focused on, I think, are, really, really important. But I wanna start off with your journey of you becoming a teacher in the classroom. And so, would you kind of give your background, your origin story? How did you end up as a third-grade teacher?

Janis Lodge (01:37):
Well, my story is definitely not a traditional story. Before I was a teacher, I was actually living in Maui, Hawaii. I moved there right after college. I went to Chico State in Northern California. And I got a degree in graphic design. And after I graduated, well, I should give a little bit of a backstory. My last summer before graduating, I spent the whole summer in Maui and I just fell in love with it. So when I graduated, I decided instead of applying for jobs in Northern California, I’m just gonna put some resumes out in Maui and see if I can get a job. And I did. I ended up getting a job doing graphic design and marketing for a kite surf company out there. And I ended up just staying for seven years on the island. And after about seven years, I kind of got a little bit of island fever and decided I wanted to come back to California. I wasn’t sure exactly what I wanted to do, but I just had this calling that I need to do something a little more fulfilling with my life. And I started thinking about different ideas and dreams I had. And I actually started thinking about when I was younger, right? I had this dream. If you were to ask me when I was 10 years old what I wanted to be when I grow up, it would be elementary school teacher.

Eric Cross (02:48):
Really?

Janis Lodge (02:48):
Believe it or not. When I was younger, I transformed my bedroom into a classroom. My stuffed animals were my students. I just thought I’m gonna be the next best teacher ever. And you know, as I went through life and kind of went in different directions, I kind of lost sight of that dream a little bit. But for some reason, when I decided to change careers, I just remembered that. And so I just decided to go get my teaching credential and see if it worked out. And it was probably the best decision I made. I feel like everything just fell perfectly into place. I ended up getting a job at an amazing school, and now, five years later, I’m a third grade teacher.

Eric Cross (03:28):
So one of the questions I have to ask, and talking to elementary school teachers, this comes up a lot: How do you make time for science as an elementary school teacher who’s teaching everything? And let me kind of premise this with, at least for those of us in California, and I’m sure the rest of the states too, but we know this; There’s kind of this pressure with pacing and then even, depending on what school you’re at, math and English tend to get the bulk of things. And maybe there’s this perception also of like, well, I gotta teach math and English, and sometimes science gets put to the back burner for different reasons.

Janis Lodge (03:57):
Well, you’re exactly right. The beginning of the year, we were provided with a pacing from the district. And you know, they try to keep us on track, saying, “You should be starting Unit 2 at this time.” But other than that, there’s really no specific guidelines of how many days we’re supposed to be teaching or for how long. But one kind of secret that I’ve discovered is that I can weave science into the other subjects, specifically with language arts. So quite often what I do is I take a look at the language arts standard, and if it’s identifying the key details and the main idea, well I can do that with the science books used from the curriculum. So I’ll just pull those readers and we’ll do the exact same skill, start with the same standard, but we’ll use the content from science. By doing that, we call that kind of like interdisciplinary study. And the students really enjoy that more, too, because they’re using the same skills but they’re diving deeper into the content.

Eric Cross (04:54):
Right.

Janis Lodge (04:55):
And so also that helps build the background knowledge. So then when it comes to time where, if I want to do a science lab or a science investigation, now they already have that background knowledge ’cause we already dove deep into the reading and they can apply that pretty quickly right away into their lab or whatever activity they’re doing.

Eric Cross (05:12):
Can you give an example maybe of how you might pull out something that might be a skill that you’re trying to develop, maybe in an English content, but you would pull that out in a science lesson, maybe? What would you do?

Janis Lodge (05:25):
We’re actually doing that right now. So we’re in our second unit of science and they’re studying inheritance and traits and they’re looking at different organisms to see how they have adaptations to help them survive in their environment. So coincidentally part of the literacy skills is to look at multiple sources, do research, and summarize and make analysis of what they’re reading. And so we have different varied resources. I have websites; I have books, ebooks, videos, and pictures. And they’re choosing which four sources they want to use. And then, then they’re coming up with a summary at the end and then putting together a Google Slides presentation based on whatever organism that they chose.

Eric Cross (06:05):
Did you have a science background before becoming an elementary school teacher?

Janis Lodge (06:11):
Um, none. Besides what I, you know, took in high school and college.

Eric Cross (06:16):
Did you find it easy to kind of lean into the science, or was it something you just kind of jumped into and said, “All right, I’m gonna get after it”?

Janis Lodge (06:23):
What’s interesting is if, you know, throughout my education, my favorite subjects were English and reading and writing and art. And quite honestly, science wasn’t my favorite subject. But I think because of that, that inspires me to come up with creative ways of presenting the information to them and making it exciting and engaging for them, because I don’t want them to feel that way. I want them to be excited about all subjects. And I think that’s the beauty of combining the different subjects like I mentioned before. Like I say, you know, “What would a scholar do? Think like a wildlife biologist. And like with my project, think like a biomimicry engineer.” And so it kind of shifts their thinking. Like, it’s not just, “Oh, we have to study science.” It’s like, “No, you are the scientist; you are a meteorologist; or you are an author. How would an author write about this? How would an illustrator capture this in a photo or a comic strip?” And so, when you really combine those disciplines, you can take it to another level. So even if science isn’t their favorite subject, like maybe it wasn’t for me growing up, they can still take something they’re passionate about and apply the science content to it and they really resonate with them.

Eric Cross (07:37):
You leaned into your strengths. Which are more like, coming into it, you had all these kind of creative strengths. You have that background as a graphics designer. You were into the arts. But then with those strengths, did that kinda give you more confidence to dive into the science work, because you approached it from your assets that you were already coming to the table with?

Janis Lodge (07:55):
Yeah.You said it perfectly. If you look at it from a different lens, there’s all these different ways you can approach science.

Eric Cross (07:59):
I find it in my own science class, too. We’re all teaching the same standards. But how I approach it is through Eric Cross’s kind of personality and understanding and my angle, and another teacher might do it a different way. But we’re all leading to the same destination.

Janis Lodge (08:14):
Exactly.

Eric Cross (08:15):
That kind of leads me to my next question, and this is having to do with the project that you just alluded to. The biomimicry project. So you did a biomimicry project. Would you consider that like a project based-learning assignment?

Janis Lodge (08:26):
Well, this will be the third year that I’ve taught this unit. And when I wrapped it up last year, it’s through the Amplify Science program, and they do a wonderful job of having a lot of investigations and really thinking like a biomimicry engineer. But the final part of the unit was to design a robot inspired by a giraffe, to eliminate invasive plants in a particular environment. And the project part of it at the end was to create a model using Popsicle sticks and pipe cleaners. And then the other part of it was a digital simulation where they would put in different shape structures of teeth, and kind of reconfigure the shape of the mouth. And then they’d put in what they think is effective, and then the computer would say, oh, you’re 98% successful or 70% successful. And I remember at the end of it the students were like, “OK, well when do we make the robots?” And I thought, “Well, we’re just doing the simulation, or we’re just doing this model out of Popsicle sticks; we’re not actually gonna make a robot.” And they just seemed so disappointed. And that’s kind of how the wheels started turning my head like, “Well, what if they actually could make a robot? The only thing stopping me is I don’t have the materials to do it.” So, shortly after that unit wrapped up, coincidentally I saw the email about this grant opportunity that was being offered through the Orange County Council for Gifted Education. And they said, If you have a project that you wanna get funded that would promote GATE strategies within the classroom, then you can submit this proposal. So that’s how the ball got rolling for that proposal. And I researched different robotics kits and different companies and I found one that was really user-friendly for third graders, and not so difficult for me to learn as well.

Eric Cross (10:10):
You’re a risk taker. Like, I’m already seeing this as I’m talking to you. Is that just who you are or do you have a network? Like what keeps you taking these risks?

Janis Lodge (10:18):
I don’t really consider it a risk, because it’s exciting for me. Like I said, I don’t know that much about robotics, but the idea of learning more and then teaching that to my students is exciting. And you know, there was a little bit of risk ’cause I’m deviating a little bit from the curriculum, from the standard lesson, but to me, the reward of having those kids feel like they accomplished something, and the way that they can take ownership of it and go in so many different directions, and on top of that, develop coding skills and computer science skills and robotic skills, to me it was just like I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it. So I think just being inspired by the potential outcomes of what could happen is what made me take that risk.

Eric Cross (11:05):
Did you just kind of create this from scratch? Did you work with a team of people? How did you come to the point where you were ready to present this for the grant?

Janis Lodge (11:12):
Pretty much from scratch. Like I said, the Amplify unit, it does teach them about robotics that were inspired by nature. So some of the materials that they read, and there’s some videos that show really great examples. There’s like a robotic arm that was inspired by an elephant trunk. There’s a book that shows what this field is, biomimicry engineer, they actually show like what they do in that field. And I thought this is a perfect way to apply it because the curriculum’s already pretty much set it up for me; now I just have to add this one final component to it. And essentially it becomes project-based learning at that point, because they’re taking their knowledge and their skills that they’ve learned up to that point. Even the unit that we’re doing doing right now is building up to it. So it’s kind of that final—instead of giving them a test at the end and saying, “OK, tell me what you learned about inheritance and traits and environments,” they can actually take that knowledge and apply it to an innovation or creation that comes out of their own mind, which is so much more powerful.

Eric Cross (12:11):
Do they connect to any other learning goals as they’re doing these projects?

Janis Lodge (12:15):
Well, I think first and foremost, the 21st century skills that from day one I tell them, the four Cs: collaboration, creativity, communication, and critical thinking. All of those are woven in through this lesson. From the beginning, we talked about the whole engineering design process. So from the beginning, they start with a question and oftentimes that actually can be the hardest for them to think about, “What’s a scientific question or a problem that I wanna solve?” If they’re passionate about, maybe, a sport or the environment or something within their school, I go, “There it is. OK, that’s the problem. How can you design something inspired by nature to solve that problem?” And then, from there they go into the planning and the designing and the testing and then the improving. So going through that engineering design process, I think, is what really makes them feel like they are the engineer going through this. And they can make mistakes. They can take risks. A lot of my students I’ve found are afraid to take risks. They wanna make sure they succeed. And they need that challenge to know that if they do fail, that’s OK. We can just revisit this. We can test it. We can look at it in a different way.

Eric Cross (13:27):
You maybe wonder about, how do you assess something like this?

Janis Lodge (13:30):
I think that’s where all those stages along the way are important. Because I wanna make sure that they have a plan and that it’s based on the knowledge that they’ve gained in the unit. I think one of the other things about project-based learning is the final product of how they demonstrate their mastery. And in my classroom I oftentimes give them a choice of how they’re gonna present that to me. So maybe they’re going to write it out like an essay. Maybe they’re gonna create a Google slide. Maybe they’re gonna make a video. Maybe they’re going to—obviously in this part they will have the model, but they’ll have to have some way to explain it to me. And I think giving them that choice gives them the opportunity to show it in the way that’s meaningful to them.

Eric Cross (14:14):
And are you using like a rubric when you’re grading these assignments? Or, how do you actually grade it?

Janis Lodge (14:20):
Yes. So we have a rubric that’s provided to us for the written component that all the students will do at the end. But I can take that same rubric and see if they’ve applied that to the project. So even the verbiage wouldn’t really need to change. I think it’s still important that the students are able to demonstrate this in written form and so all of them will still complete that written component, but to also give them the opportunity to show that in the modality of their choice. I think is really important too.

Eric Cross (14:48):
Right. And you have some students that feel much more comfortable being able to present orally versus—

Janis Lodge (14:53):
Exactly.

Eric Cross (14:53):
—versus writing versus maybe doing a video. I mean, we see that in middle school and in high school too. Students show their knowledge or their understanding of a topic depending on the medium in different ways, and some better than others. Some may find that they can communicate it a lot better orally, but when pen goes to paper or fingers go to keyboard, you might grade it completely different, ’cause they’re not able to transfer what’s in their mind into writing. And the way you’re doing it, and giving that student choice, they probably have so much more buy-in, I’d imagine, because they get to pick what they get to do.

Janis Lodge (15:21):
Right.

Eric Cross (15:22):
You said something earlier and I wanna come back to it. So you mentioned GATE, and GATE is not something that I hear a lot in my world, but it was something I heard a lot when I was in school. There were kind of all of these perceptions and ideas about GATE. You’re a GATE teacher, correct?

Janis Lodge (15:38):
Right.

Eric Cross (15:39):
What is GATE, and what is it like being a GATE teacher? What are the misconceptions, if any, that you might have heard or come across?

Janis Lodge (15:46):
Well, so GATE stands for Gifted and Talented Education. And first and foremost, I think a misconception is that we’re just kind of doing whatever we want; we come up with our own lessons and teach a totally different curriculum. Which is definitely a myth. Because we start with the exact same standards as any other third grade class that you’d walk into. That’s definitely where we start. But I think in addition to the standards, we also implement what are called GATE standards: So they’re Depth, Complexity, Acceleration, and Novelty. And there’s a lot of tools that we use in the classroom, different strategies. You’ll see things like the prompts of Depth and Complexity. We’ll use things like “think like a disciplinarian”; I’m doing “think like a biomimicry engineer.” But really, all they are are just thinking tools and strategies to elevate students thinking and kind of go below that surface level of the content to dive deeper. It also provides opportunities for acceleration. So for example, our last science unit, it was on magnetic force, and there was a handful of students that just grasped the concepts right away, and they’re ready for something else. They’re ready for more rigor. They need some challenge. And so at that point I can kind of pull that group aside and provide some differentiation for them. And I said, “OK, well, you understand the concept of magnetic force, balanced forces. So now what I want you to do is think about something that you’re really passionate about, and how could you use magnetic force somewhere in that field—again to solve a problem, problem-based learning—and present it to me?” So they create this form, it’s like a “think like a disciplinarian” frame, and one of them was “think like a hockey player.” And he’s trying to think of a way that he can incorporate magnetic force. Anyway, I could go on and on. But basically it’s finding what these students’ passions are. And I do that with all my students. And I should probably preface this by saying that even though these are standards that I implement in my classroom because it’s a GATE classroom, these are practices and tools that can be applied to any learner, at any age. And they really just enrich the education for all students.

Eric Cross (18:02):
So your classroom is, is a mixed classroom. There’s GATE students and then general—

Janis Lodge (18:05):
Right.

Eric Cross (18:07):
—students, non-GATE students, in the same class. It’s interesting because I imagine GATE is kind of scaffolding up to a higher level, but then, you also said something that I’ve noticed when I’m creating scaffolds for my students to support them, who may not be at a grade level, maybe in reading or literacy or math, those same scaffolds can help all students.

Janis Lodge (18:27):
So yeah, I don’t just go, “OK, you’re my GATE students; I’m gonna use these practices on you.” I use it for the whole class. But I’m also surprised by having that mix of these different learning styles. A lot of times students are inspired by other students, or, you know, we have this big thing about one of the prompts is Multiple Perspectives. I try to do that as much as I can, because students are inspired by the ideas of their peers. And quite often, if they hear it from a peer, it could be exactly what I just said, but they heard their student say it in a different way and it just clicks and they’re like, “Wow, I get that.”

Eric Cross (19:00):
I think a lot of teachers struggle or, or maybe feel ill-equipped, to support higher-level students. Did you get trained to be a GATE teacher? First lemme ask that question: Did you get special training for this?

Janis Lodge (19:13):
Yes. I went through a course, I think it was like a six-week certification course, through my district.

Eric Cross (19:19):
OK, so you got a special training, which—I’ve been in the classroom for nine years; I teach at a university as an adjunct professor; but I’ve never been trained on teaching gifted or accelerated students. And I’m kind of wondering now, like, do you feel like it made you a better teacher?

Janis Lodge (19:33):
Absolutely.

Eric Cross (19:34):
And if so, how do I get to do this?

Janis Lodge (19:36):
Well, it’s through the county. I mean, anybody can get trained and certified how to teach this way. But, just like you said, I think coming out of that, my eyes were just open, and my biggest takeaway is that these practices, even though they are designed for gifted and talented, it really kind of reshaped my thinking about how I, number one, present material to the students, that I’m doing it in an engaging way, and I’m not just lecturing at them; there’s opportunities for them to collaborate and communicate and use multiple resources. So, you know, how I’m teaching has changed. And then also, how I’m providing opportunities for them to demonstrate their learning. And a lot of that is project-based learning, because once they have the knowledge and skills they need to do something with it. I mean, that’s really the true definition of innovation, is taking the skills or taking something that you’ve learned, and now go with it. Run with it.

Eric Cross (20:32):
How can we take what you’ve learned and then kind of spread it, so teachers have this in their toolkit, too? Like for me, I have multiple ways to be able to support reading and literacy and math and tools and sentence frames. And my students who have special learning plans, I have a have a lot of tool sets for that. I wanna build my tool sets for this other area for my students who want to continue, who wanna run, or go beyond, or even stretch themselves. I think we need to take some of the things that you’re doing and not make them kind of like this exclusive group, but also let’s share it with everyone, ’cause if everybody can access it—

Janis Lodge (21:03):
I agree.

Eric Cross (21:03):
—we might see a lot more potential or a lot more opportunities for students who might not otherwise have them.

Janis Lodge (21:08):
And one thing: My school, I’m really proud to say that my principal has seen that. You know, he’s like, “Well why are we just keeping this in the GATE classroom?” So he’s working on getting all of our teachers certified.

Eric Cross (21:19):
No, I love what you’re doing and your principal sounds, sounds awesome for doing that and recognizing that this can benefit more students than just the ones who, you know, pass the Raisin Test, I think it’s what it was called when I was taking it, or whatever it is back then.

Janis Lodge (21:31):
Exactly.

Eric Cross (21:32):
We’ve talked about project-based learning, the GATE classroom…I kind of wanna come back to you as we wrap up. Thinking about, like, the jobs that you and I do, and the people that listen to this podcast, we have one of the few jobs that people remember us for a lifetime. And I wanna ask you, who was someone that was maybe inspirational in your educational career, that inspired you, or is maybe one of the most memorable? You might have several…but who is someone that was memorable to you in your career, and why? Why were they memorable to you?

Janis Lodge (22:02):
Yeah. Well, obviously, when I was younger, I was definitely inspired by all my teachers. The fact that I turned my bedroom into a classroom…I just was just in awe of this profession. But I think one that really resonated with me was my junior year in high school. I was taking a newspaper class and the teacher was Mrs. Kavanaugh, and she really taught us everything from writing the articles to the editing, to putting the pages together. And I remember in that class I was working on this program called QuarkXPress. I don’t even know if it exists anymore. But I was just fascinated with putting all these pieces together that we’d worked on for so long and getting the articles, picking the pictures, the illustrations and the titles. And I remember her looking at me saying, “You really enjoy this, don’t you?” And I said, “Yeah.” And she said, “Well, I have a computer graphics elective class that you should take next year.” And I thought, “OK, I’d love to do this, this opportunity to expand my knowledge and my skills.” So because of that, I took the computer graphics class the next year and I just remember throughout the whole time, she was just constantly encouraging me and acknowledging my skills. And I find myself doing that as a teacher as well. ‘Cause that really resonated with me. And it’s funny, this summer I was going through some boxes of some old stuff from high school, and I found this handout that I had made, because I remember my senior year of high school, she said, “Janis, you know what? You’re doing such a great job; we have these new, incoming students coming into the newspaper class, and I’d love for you to actually teach them how to do this pagination on this QuarkXPress program. I want you to put something together and actually teach it to them.” I thought, “Wow, she believes in me that much that she’s gonna let me teach this to the incoming students.” But I think my takeaway from that was that she gave me the opportunity to take those skills and actually do something with them, to apply them right away.

Eric Cross (23:53):
Mrs. Kavanaugh. Miss Kavanaugh. Shout-out to Miss Kavanaugh. As you told that story, I heard you as a teacher because I’m hearing she’s applying these GATE strategies in that situation. That’s what that’s what I heard.

Janis Lodge (24:08):
Yeah, absolutely.

Eric Cross (24:09):
She personalized this learning. She created a specialized opportunity. You presented to a real audience that was authentic. It had this personalization in it and this rigor and this challenge and it made a huge impact. And it’s just amazing to listen to you and hear this come full-circle, and now you’re doing this with little ones. And I just wanna thank you for your time in doing the interview, sharing your story with how you became a teacher, your students, the projects that you do. And just like so many teachers, going the extra mile for your kids and bringing in these really important 21st century skills; they’re gonna be so much better off for it. And I know it makes my job easier when I get them in the classroom, so thank you.

Janis Lodge (24:49):
Yeah. Well, thank you for the opportunity.

Eric Cross (24:51):
My pleasure. Thanks so much for listening and we wanna hear more about you and the educators who inspire you. You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S -T-E-M at amplify dot com. And be sure to click subscribe, wherever you listen to podcasts, and join our Facebook group, Science Connections: The Community. Until next time.

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What Janis Lodge says about science

“The reward of having kids feel like they accomplished something and take ownership is such an opportunity [with project-based learning] that I have to run with it. Being inspired by the potential outcomes of what could happen is what made me take that risk.”

– Janice Lodge

3rd Grade Teacher, De Portola Elementary

Meet the guest

Janis Lodge is a third grade teacher in Orange County, California. Her career in education started six years ago when she decided to follow her passion of making a positive difference in the lives of young scholars. Prior to teaching, Janis lived in Maui, Hawaii for seven years, working in the field of graphic design, marketing, and hospitality. She has found that her interest in innovation, project-based learning, and inquiry-driven exploration has helped shape her into the educator she is today. STEAM is integrated regularly into her classroom, and her students continually develop 21st century skills through a variety of unique projects. ​​Janis is also a PAL (Peer Assistance Leadership) Advisor for her school, where she helps young leaders (4th-6th graders) cultivate their leadership skills and empowers them to make a positive difference in their school and community. Janis was recently awarded the Orange County Council for the Gifted & Talented Education Classroom Grant, which will provide an extension to the third grade Amplify Science Unit: Environments and Survival.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

S3 – 04. Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Promotional image for "Math Teacher Lounge" Season 3, Episode 4 titled "Ideas to Build Math Fluency," featuring Valerie Henry, Tracy J. Zager, and Graham Fletcher.

Fluency in math can oftentimes be associated with negative experiences with its development— timed worksheets, for example. Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier for their inclusion in mathematics. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guests

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

Graham Fletcher has served in education as a classroom teacher, a math coach, and currently as a math specialist. He is continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary mathematics. He is the author of Building Fact Fluency and openly shares many of his resources at gfletchy.com. Follow him on Twitter.

Tracy Johnston Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of the Building Fact Fluency toolkits and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books by teachers, for teachers at Stenhouse Publishers. Follow her on Facebook.

A collage of three headshots: an older woman with glasses, a man with a beard in a blue shirt, and a woman with dark hair smiling in front of greenery.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

A closer look at grades 3–5

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver age-appropriate, high-quality, literacy-rich instruction that enables students to take on the roles of scientists and engineers to solve real-world phenomena every day.

In the 3–5 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.
Collage of four educational activities: 1) drying a paper model with a hairdryer, 2) two girls observing a science experiment, 3) children making a mixture, 4) adult hand watering a plant in a clear container.
Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science California to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 3–5 program to address 100% of the California NGSS in just 88 days.

Scope and sequence

Every year of our grades 3–5 sequence consists of 4 units and 88 lessons. Said another way, each unit contains 20 lessons plus two dedicated assessment days (a Pre-Unit Assessment and End-of-Unit Assessment).

Lessons for grades 3–5 are written to last a minimum of 60 minutes, though teachers can expand or contract the timing to meet their needs.

Educational curriculum chart showcasing a progression of amplify science lessons from kindergarten to grade 5, categorized by grade and subject areas like plants, animals, weather, and energy.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

In grades 3–5:

  • One unit emphasizes the practice of investigation.
  • One unit emphasizes the practice of modeling.
  • One unit emphasizes the practice of engineering design.
  • One unit emphasizes the practice of argumentation.
Investigation Units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Modeling Units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Engineering Design Units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Argumentation units

Argumentation units provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

Units at a glance

Una ilustración de un tren de alta velocidad moderno y aerodinámico que viaja por una vía elevada con un paisaje verde de fondo.
Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

Download unit guide

Download lesson planner

An illustration from the Inheritance and Traits unit
Inheritance and Traits

Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

Download unit guide

Download lesson planner

An illustration from the Environments and Survival unit
Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

Download unit guide

Download lesson planner

An illustration from the Weather and Climate unit
Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Download unit guide

Download lesson planner

An illustration from the Energy Conversions unit
Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

Download unit guide

Download lesson planner

An illustration from the Vision and Light unit
Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Download unit guide

Download lesson planner

An illustration from the Earth's Features unit
Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Download unit guide

Download lesson planner

An illustration from the Waves, Energy, and Information unit
Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Download unit guide

Download lesson planner

An illustration from the Patterns of Earth and Sky unit
Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Download unit guide

Download lesson planner

An illustration from the Modeling Matter unit
Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Download unit guide

Download lesson planner

An illustration from the Earth System unit
The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.  

Download unit guide

Download lesson planner

An illustration from the Ecosystem Restoration unit
Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

Download unit guide

Download lesson planner

Discovering and exploring mathematics in every story

Smiling young boy sits at a classroom desk holding an open book, developing reading comprehension, while two other children are seen in the background engaged in activities.

Every picture book on your classroom shelf holds mathematical treasures waiting to be discovered! What if every read-aloud could go beyond a literacy moment to become a catalyst for mathematical sense-making? This question lies at the heart of Allison Hintz and Antony T. Smith’s delightful and informative book, Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion.

Many teachers have used traditional counting books and shape-focused stories to support students in connecting mathematics to literature. According to Hintz and Smith, you can challenge readers to extend and expand upon these experiences in ways that provide more space for them to make sense of stories; ask their own questions; see mathematics authentically in the world; and make connections between the stories, the math, and their lives. That’s the promise of mathematizing—approaching any story with a mathematical lens.

The concept of “mathematizing” goes beyond simply finding numbers in a story. Children are naturally curious and construct meaning by noticing, exploring, explaining, and modeling. The story context becomes a place to play and practice seeing math everywhere in our world. As we read a story aloud and pause to ask, “What do you notice? What do you wonder?,” students are able to surface structure, compare quantities, model situations, and justify their ideas, all while staying rooted in characters, plot, setting, and theme. The result is a classroom where math feels joyful, meaningful, connected, and accessible.

In this post, we’ll explore simple moves to mathematize your next read-aloud, sample prompts to elevate discussion, and follow-up activities to turn your library into a launchpad for mathematical thinking!

Mathematizing process and structure

While there’s no one way to facilitate a mathematical read-aloud, the following steps can help you get started:

  1. Explore books in your current library. There are no hard and fast rules for choosing the right book to mathematize, because a book can spark mathematical ideas in many ways. Look for books that a) are overtly ‘mathy’ where the math is central to the story’s plot, b) have illustrations that provide opportunities to explore the math in them, and/or c) have a story that inspires mathematical thinking, even if the math isn’t central to the story’s plot.
  2. Read the book aloud for the first time. The first read is a wonderful opportunity for students to hear and enjoy the story itself.
  3. Ask students what they noticed and wondered. As students share their responses, record them on a piece of chart paper to revisit later. If no responses pertain to the math in the story, you can follow up with the question, “Where did you see math in the story?”
  4. Reread the book a second time or revisit a specific page in the book. At this point, you want to start to focus on the math the students will explore in the book. You can either reread the entire story and pause on strategic pages that center on the mathematical ideas, or revisit specific pages in the story. (If the story is longer,it will probably be easiest to just flip back to specific pages.)
  5. Elicit student thinking. Ask students what math questions they could ask based on the pages they revisited.
  6. Give students a follow-up math activity. This could be based on a question the students mentioned earlier in this process, or one the teacher has planned.

Mathematizing examples

To save you time finding a book to use, we’ve outlined a plan based on some of our favorite books to mathematize (listed by grade band).

Grade levelK–1
Book title and authorBear Says Thanks by Karma Wilson
Mathematical focusCounting, addition, and mathematical representations
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How many friends visited Bear? What different food items did Bear’s friends bring?”
Pages to revisitAs students describe the different foods, revisit those pages. Identify any foods the students didn’t mention. As you revisit each page, ask students, “How many of that food item did that friend bring? ”Record their responses on a piece of chart paper for each friend. 
ActivityArrange students in small groups of 3–4 and give them a piece of poster paper. Ask students to show each friend’s food items. They can represent them using pictures, counters, ten-frames, etc. After they’ve correctly represented each friend, ask them to show how many total food items Bear’s friends brought using numbers and equations. When they’ve finished, have them visit one another’s posters to see how others represented and added the food items. 
Grade level2–3
Book title and author100 Hungry Ants by Elinor J. Pinczes
Mathematical focusConnecting arrays to expressions
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How did the ants rearrange themselves throughout the book?”
Pages to revisitAs students describe the different arrangements of ants, revisit those pages so students have a visual of the array. As you revisit each page, ask students, “How many ants are in each row? Each column? What is an equation we can write to represent the array?” Record their responses on a piece of chart paper. 
ActivityArrange students in small groups of 3–4 and give them a piece of poster paper. Give each group a different number of ants. Suggested numbers are: 12, 24, 36, 20, 18. Ask students to draw all of the different ways their number of ants could rearrange themselves and record an equation to match each. If it’s helpful, you can give each group a set of cubes, counters, or beans to represent the ants so they can manipulate them. Wrap up the activity by having students visit one another’s posters and discussing the similarities and differences between them. 
Grade level4–5
Book title and authorDozens of Doughnuts by Carrie Finison
Mathematical focusMultiplication and division
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How many ways did Luanne share her doughnuts as friends arrived at her door?”
Pages to revisitAs students describe the different ways Luanne shared her doughnuts, revisit those pages. As you revisit each page, ask students, “How many doughnuts were being shared? By how many animals? ”Record their responses on a piece of chart paper. 
ActivityArrange students in small groups of 3–4 and give them each a piece of poster paper. Ask them to show all of the ways Luanne shared her doughnuts. To enable variation, refrain from specifying the representation they should use. After they’ve finished, ask them to do a Gallery Walk to each other’s posters to get ideas to add to their poster. If none of the groups have a multiplication and division equation for each way, ask students to record those as well. Ask students how Luanne could have shared a dozen doughnuts with the following number of animals showing up at her door: 5, 8, 10, 14, 16, and 18. Encourage students to show their work and record multiplication and division equations. 

And with all the upcoming holidays and opportunities to gather with friends and family, we were also inspired to use Spaghetti and Meatballs for All! by Marilyn Burns in a mathematizing read-aloud. Follow this link to find K–2 and 3–5 lesson plans for this book that you can use right away!

Welcome to Amplify ELA!

Amplify ELA is a cutting-edge and effective program that engages middle school students through a unique blend of digital and print lessons, dynamic texts, lively discussions, and interactive Quests. Not only is it the only ELA curriculum truly built for the needs of middle school teachers and students, its instructional approach is designed to extend the Science of Reading into the middle grades.

Note: We’re continually adding information to this site, including specific details regarding our alignment with your non-negotiables. Keep checking back with us between now and April 20, 2023.

Getting started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you start scrolling, watch the video below to learn about Amplify ELA’s alignment to Nevada’s literacy initiatives as well as where to find key program resources.

Curriculum overivew

Amplify ELA helps students develop the essential skills of reading, writing, speaking, and listening, and features:

  • Comprehensive print materials, including Teacher Editions, Student Editions, and Writing Journals for grades 6–8.
  • A year’s worth of instruction for each grade.
  • Complex, content-rich literary and informational texts.
  • Differentiation that supports all students with reading complex texts, and an interactive eReader with an array of multimedia tools.
  • Embedded assessments that allow for uninterrupted instructional time.
  • The Amplify Library—a digital collection of more than 700 full-length texts.

In the videos below, hear about current educators’ experience with Amplify ELA and the positive impact it has made in their classrooms.

Engaging and effective content

Powerful digital tools and assessments

Program features

Amplify ELA’s hybrid curriculum empowers teachers to decide when and how their students use technology without the worry of compromising learning. Whether implemented in high tech or low tech classrooms, teachers can easily and confidently provide 100% standards coverage.

Amplify ELA’s structured yet flexible lessons are grounded in regular routines while still allowing for a variety of learning experiences and continuous student engagement.

Take a closer look at the program’s structure and the sequence of activity types that appear in a typical lesson.

There is never a dull moment on a middle school campus. For that reason, some schools appreciate having a flexible pacing option. Our abridged lesson pathways ensure full coverage of the standards in just 100 lessons.

Amplify ELA features high-quality lessons grounded in great books, with powerful multimedia tools to immerse young adolescents in reading, writing, and speaking.

Our rich and relevant texts are more than just excerpts. With more than 700 full titles in our digital library plus a variety of Novel Guides, Amplify ELA engages and inspires middle schoolers with great works, including poetry, rhetoric, and Spanish selections.

Based on individual student needs and performance measures within Amplify ELA reports, teachers are able to select the differentiation level that’s best for each student. When students reach an activity, the platform delivers the assigned differentiation, allowing all students to experience the same lesson with supports tailored to their unique needs.

  • Our close reading apps bring texts to life for students. Students zoom in on specific moments of the text and trace characters’ emotions throughout a text, gather evidence to build a case, and create storyboards that render their understanding of a text.
  • The Vocab App strengthens vocabulary skills with fun and fully differentiated adaptive games, repeated encounters with new words across multiple contexts, and an interactive stats page that helps students track their own progress.
  • Quests are fun, week-long explorations that help students practice analytical reading, writing, speaking, and listening skills while building a strong classroom community. In each Quest, students step into the world of the text they have been reading. They interact with different complex texts in multiple formats and media, gather evidence from these texts and interactions with classmates, and work together to achieve the Quest goal.

With Amplify ELA, your students will benefit from embedded assessments that maximize instructional time and allow them to keep learning without the disruption of step-away performance tests.

In addition, as students complete activities within lessons and units, Amplify ELA teacher and admin reports provide a continuously updated picture of how each student is progressing with key skills and standards. Data is gathered from daily learning moments, allowing you to keep teaching while building a clear understanding of student performance.

Providing feedback has never been easier. With Classwork, teachers can review student writing and multiple choice answers and easily add scores and comments (and even emojis) all in one place, giving students the immediate feedback they need to further develop their confidence and literacy skills.

Curriculum review

Digital navigation walkthrough

Physical materials walkthrough

Curriculum implementation

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Access the program

Before logging in, download and review this digital navigation guide.

Explore as a teacher

Ready to explore as a teacher? Follow these instructions:

  • Click the ELA Digital Platform button below.
  • Select Log in with Amplify.
  • Enter the username: t1.ccsd-68-ela@demo.tryamplify.net
  • Enter the password: Amplify1-ccsd-68-ela
  • Click the ELA icon
  • Select a grade level

Explore as a student

Ready to explore as a student? Follow these instructions:

  • Click the ELA Digital Platform button below.
  • Select Log in with Amplify.
  • Enter the username: s1.ccsd-68-ela@demo.tryamplify.net
  • Enter the password: Amplify1-ccsd-68-ela
  • Click the ELA icon
  • Select a grade level

Check out these additional resources

Nevada submission resources:

Amplify ELA review resources:

Nevada ELA Review for grades 6–8

Thank you for taking the time to review Amplify’s core ELA program for 6–8.

Amplify ELA is a cutting-edge and effective program that engages middle schools students through a unique blend of digital and print lessons, dynamic texts, lively discussions, and interactive Quests.

Getting started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you start scrolling, watch the video below to learn about Amplify ELA’s alignment to Nevada’s literacy initiatives as well as where to find key program resources.

Curriculum overivew

Amplify ELA helps students develop the essential skills of reading, writing, speaking, and listening, and features:

  • Comprehensive print materials, including Teacher Editions, Student Editions, and Writing Journals for grades 6–8.
  • A year’s worth of instruction for each grade.
  • Complex, content-rich literary and informational texts.
  • Differentiation that supports all students with reading complex texts, and an interactive eReader with an array of multimedia tools.
  • Embedded assessments that allow for uninterrupted instructional time.
  • The Amplify Library—a digital collection of more than 700 full-length texts.

In the videos below, hear about current educators’ experience with Amplify ELA and the positive impact it has made in their classrooms.

Engaging and effective content

Powerful digital tools and assessments

Program features

Amplify ELA’s hybrid curriculum empowers teachers to decide when and how their students use technology without the worry of compromising learning. Whether implemented in high tech or low tech classrooms, teachers can easily and confidently provide 100% standards coverage.

Amplify ELA’s structured yet flexible lessons are grounded in regular routines while still allowing for a variety of learning experiences and continuous student engagement.

Take a closer look at the program’s structure and the sequence of activity types that appear in a typical lesson.

There is never a dull moment on a middle school campus. For that reason, some schools appreciate having a flexible pacing option. Our abridged lesson pathways ensure full coverage of the standards in just 100 lessons.

Amplify ELA features high-quality lessons grounded in great books, with powerful multimedia tools to immerse young adolescents in reading, writing, and speaking.

Our rich and relevant texts are more than just excerpts. With more than 700 full titles in our digital library plus a variety of Novel Guides, Amplify ELA engages and inspires middle schoolers with great works, including poetry, rhetoric, and Spanish selections.

Based on individual student needs and performance measures within Amplify ELA reports, teachers are able to select the differentiation level that’s best for each student. When students reach an activity, the platform delivers the assigned differentiation, allowing all students to experience the same lesson with supports tailored to their unique needs.

  • Our close reading apps bring texts to life for students. Students zoom in on specific moments of the text and trace characters’ emotions throughout a text, gather evidence to build a case, and create storyboards that render their understanding of a text.
  • The Vocab App strengthens vocabulary skills with fun and fully differentiated adaptive games, repeated encounters with new words across multiple contexts, and an interactive stats page that helps students track their own progress.
  • Quests are fun, week-long explorations that help students practice analytical reading, writing, speaking, and listening skills while building a strong classroom community. In each Quest, students step into the world of the text they have been reading. They interact with different complex texts in multiple formats and media, gather evidence from these texts and interactions with classmates, and work together to achieve the Quest goal.

With Amplify ELA, your students will benefit from embedded assessments that maximize instructional time and allow them to keep learning without the disruption of step-away performance tests.

In addition, as students complete activities within lessons and units, Amplify ELA teacher and admin reports provide a continuously updated picture of how each student is progressing with key skills and standards. Data is gathered from daily learning moments, allowing you to keep teaching while building a clear understanding of student performance.

Providing feedback has never been easier. With Classwork, teachers can review student writing and multiple choice answers and easily add scores and comments (and even emojis) all in one place, giving students the immediate feedback they need to further develop their confidence and literacy skills.

Curriculum review

Digital experience overview

Physical materials walkthrough

Curriculum implementation

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Access the program

Before logging in, download and review this digital navigation guide.

Explore as a teacher

Ready to explore as a teacher? Follow these instructions:

  • Click the Access digital curriculum button below.
  • Click to review as a teacher.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Explore as a student

Ready to explore as a student? Follow these instructions:

  • Click the Access digital curriculum button below.
  • Click to review as a student.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Check out these additional resources

Nevada submission resources:

Amplify ELA review resources:

Planning and instructional resources

Using the Amplify NYC Science Benchmarks

Planning and Implementation Guides

NYC Field Trip List

Implementation Rubric for Administrators

6-8 Look-for tool

K-5 Look-for Tool (1 page)

NYSED Investigations and Amplify Alignment

For more guidance on the New York state investigations and suggested pacing, please log in to your NYC account and check out the NYC Public Schools Science Collaborative Website for Elementary and for Intermediate.

NYC Companion resources

6-8 Companion Lessons can be found in the Amplify Science platform!

A screenshot of a digital lesson on harnessing energy with an arrow pointing to a "Companion Lesson" button. The inset shows the companion PDF. The text provides instructions for accessing the lesson.

Grade 6 Lesson guides and Copymasters

  • Companion lesson: Insert after Lesson 2.2
  • Time frame: 60 minutes (can spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS3-6, DCI: PS3.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3
  • Time frame: Two 45-minute class periods
  • NYSP–12SLS: PE: MS-PS2-3, MS-PS2-5, DCI: PS2.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3 and after Investigating Non-Touching Forces
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-PS2-5, MS-PS2-3, DCI: PS2.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.5
  • Time frame: 105 minutes (can be spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS1-6, DCI: PS1.B
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.4
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS2-5, DCI: LS2.C, LS4.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 1.3
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-ESS2-4, DCI: ESS2.C
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3*
  • Time frame: 90 minutes (can be spread across multiple class periods)
  • NYSP–12SLS: PE: MS-PS1-7, MS-ESS2-6, DCI: PS1.A, ESS2.C
  • Links (click to download):

*Note: The homework assignment for Ocean, Atmosphere, and Climate Lesson 3.3 (reading the article “Deep Ocean Currents: Driven by Density”) should be assigned after the Investigating Deep Ocean Currents companion lesson rather than after Lesson 3.3.

Grade 7 Lesson Guides and Copymasters

  • Companion lesson: Insert after Lesson 3.2
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS1-3, DCI: PS3.D, LS1.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.3 or later
  • Time frame: Three 45-minute class periods, each several days apart
  • NYSP–12SLS: PE: MS-LS1-8, DCI: LS1.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 3.5
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-LS1-6, MS-LS1-7, DCI: LS1.C, PS3.D
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.2
  • Time frame: 60 minutes (first and second reads can be spread across two class periods)
  • NYSP–12SLS: PE: MS-PS1-4, DCI: PS3.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 1.3
  • Time frame: 60 minutes
  • NYSP–12SLS: PE: MS-PS1-7, DCI: PS1.A
  • Links (click to download):
  • Companion lesson: Insert after Lesson 2.3, 2.4, or 2.5
  • Time frame: Two 45-minute class periods
  • NYSP–PE: MS-PS1-8, MS-PS1-2 DCI: PS1.A, PS1.B
  • Links (click to download):

Grade 8 Lesson Guides and Copymaster

NYC Companion Kits

Materials needed to teach Amplify Science lessons are provided in a kit for each unit. While some materials used in the NYC Companion Lessons are also found in a unit’s kit, materials specific to the companion lessons are provided in NYC Companion Kits. The contents of each kit and any additional materials needed to teach the companion lessons are listed in the PDFs provided below. Please select your grade to view or download the list.

NYC Student Editions (print)
The NYC Student Editions are durable student references that compile all reading material required for a grade level, including the articles students read for NYC Companion Lessons. Students reading in the Student Edition should annotate the text directly with sticky notes to achieve the full benefits of Active Reading. The Active Reading approach was designed as an interactive process in which students highlight and annotate digital or hard copies of articles directly. Printable versions of the articles are available in the downloads section below.

It is recommended that NYC teachers insert this additional lesson between Lessons 3.1 and 3.2 in order to have students complete a reading assignment in class along with an additional Sim activity.

  • Lesson: Earth, Moon and Sun: Modeling Seasons
  • Lesson Placement: Insert between Lessons 3.1 and 3.2*
  • Links (click to download):

*If teaching this Modeling Seasons lesson, do not assign reading “The Endless Summer of the Arctic Tern” article for homework in Lesson 3.1. However, students should still model a lunar eclipse with the Modeling Tool for homework, as they will be revisiting and revising this model in Lesson 3.3.

NYC Investigation Notebooks (for teacher download)

* includes NYC Companion Lesson Copymaster(s)

* includes NYC Companion Lesson Copymaster(s)

  • Geology on Mars
  • Earth, Moon, and Sun
  • Force and Motion
  • Engineering Internship: Force and Motion
  • Magnetic Fields*
  • Light Waves
  • Traits and Reproduction
  • Natural Selection
  • Evolutionary History

* includes NYC Companion Lesson Copymaster(s)

Remote and hybrid learning resources

New Mexico ELA review Amplify ELA (6–8)

Thank you for taking the time to review Amplify ELA for New Mexico. Below you’ll find access to our print and digital materials as well as other resources to support your review and allow you to experience our program.

Illustration of a diverse group of people and nature elements, featuring a prominent figure with floral hair decorations and a scene of communal interaction in the background.

Program overview presentation

Amplify ELA is a blended English language arts curriculum designed specifically for grades 6–8. With Amplify ELA, students learn to tackle complex text, make observations, grapple with interesting ideas, and find reading relevance for themselves.

Online platform videos

The content and instruction in Amplify ELA’s digital program mirrors the content provided in the print Teacher Guides and Student Editions. Additionally, the digital program offers enhanced opportunities to engage students through the use of multimedia and a variety of learning apps. Teachers will also find embedded apps that make it easy to score student work, provide feedback, differentiate instruction, and report on progress.

Download this teacher navigation guide and watch this video walkthrough to support your digital review.

Key program features

Amplify ELA’s structured yet flexible lessons are grounded in regular routines while still allowing for a variety of learning experiences and continuous student engagement.

Take a closer look at the program’s structure and the sequence of activity types that appear in a typical lesson.

Amplify ELA features high-quality lessons grounded in great books, with powerful multimedia tools to immerse young adolescents in reading, writing, and speaking.

Our rich and relevant texts are more than just excerpts. With more than 700 full titles in our digital library plus a variety of Novel Guides, Amplify ELA engages and inspires middle schoolers with great works, including poetry, rhetoric, and Spanish selections.

Amplify ELA’s new, hybrid curriculum can be used in classrooms with limited access to devices. Our engaging print highlights the many digital experiences that can be shared with students through classroom projections. Teachers can make choices about when their students use devices without compromising learning and while providing 100% standards coverage.

Download the Remote and Hybrid Learning Guide to learn how we support in-person, remote, and hybrid instruction.

Based on individual student needs and performance measures within Amplify ELA reports, teachers are able to select the differentiation level that’s best for each student. When students reach an activity, the platform delivers the assigned differentiation, allowing all students to experience the same lesson with supports tailored to their unique needs.

What’s more, when logging in each morning, teachers will be greeted by their Amplify ELA Homescreen where they can view a snapshot of student performance, access reports, see which students are struggling, and easily return to where they left off the day before.

  • Our close reading apps bring texts to life for students. Students zoom in on specific moments of the text and map out character traits, trace emotions throughout a text, and gather evidence to build a case. These apps are also flexible so teachers can create their own activities for Amplify ELA core texts, texts in the library, and texts they bring in from other sources.
  • The Vocab App strengthens vocabulary skills with fun and fully differentiated adaptive games, repeated encounters with new words across multiple contexts, and an interactive stats page that helps students track their own progress.
  • Quests are fun, week-long explorations that help students practice analytical reading, writing, speaking, and listening skills while building a strong classroom community. In each Quest, students step into the world of the text they have been reading. They interact with different complex texts in multiple formats and media, gather evidence from these texts and interactions with classmates, and work together to achieve the Quest goal.

With Amplify ELA, your students will benefit from embedded assessments that maximize instructional time and allow them to keep learning without the disruption of step-away performance tests.

And as students complete activities within lessons and units, Amplify ELA teacher and admin reports provide a continuously updated picture of how each student is progressing with key skills and standards. Data is gathered from daily learning moments, allowing you to keep teaching while building a clear understanding of student performance.

Providing feedback has never been easier. With Classwork, teachers can review student writing and multiple choice answers and easily add scores and comments (and even emoji!) all in one place, giving students the immediate feedback they need to further develop their confidence and literacy skills.

Additional materials to support your review

Oregon Math State Review for 9–12

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Oregon Math State Review for 6–8

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Oregon ELA State Review for 6–8

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Utah ELA Review for Grades 6–8

Thank you for taking the time to review Amplify’s core ELA program for middle school.

Amplify ELA is a blended English language arts curriculum designed specifically for grades 6–8. With Amplify ELA, students learn to tackle complex text, make observations, grapple with interesting ideas, and find reading relevance for themselves.

Illustration of a diverse group of people and nature elements, featuring a prominent figure with floral hair decorations and a scene of communal interaction in the background.

Step 1: Program Introduction

Welcome to Amplify ELA! Before you dive into our materials, watch the video below to learn about Amplify ELA’s unique instructional design, built specifically for middle schoolers.

Step 2: Program Overview

Amplify ELA is a core curriculum designed to deliver a unique research-based approach designed to get all students reading grade-level text together.

Watch the overview video below to get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify ELA Program Guide also provides an in-depth view of how Amplify ELA works, how it’s structured, and why it’s uniquely capable of helping you bring evidence-based instructional practices to life in the middle school classroom.

Evidence-based design

Amplify ELA is rooted in extensive research in learning, cognition, and how middle school students develop literacy skills.

As such, Amplify ELA features four research-based principles of engagement that support teachers in meeting key developmental needs, and help students become confident, active learners. In addition, Amplify ELA has been proven to drive outcomes for middle school students. Read the ESSA studies below to learn more.

Key features

Amplify ELA’s new, hybrid curriculum empowers teachers to decide when and how their students use technology without the worry of compromising learning. Whether implemented in high tech, low tech, or no tech classrooms, teachers can easily and confidently provide 100% standards coverage.

Download the Remote and hybrid learning guide to learn how we support in-person, remote, and hybrid instruction.

Amplify ELA’s structured yet flexible lessons are grounded in regular routines while still allowing for a variety of learning experiences and continuous student engagement.

Take a closer look at the program’s structure and the sequence of activity types that appear in a typical lesson.

Amplify ELA features high-quality lessons grounded in great books, with powerful multimedia tools to immerse young adolescents in reading, writing, and speaking.

Our rich and relevant texts are more than just excerpts. With more than 700 full titles in our digital library plus a variety of Novel Guides, Amplify ELA engages and inspires middle schoolers with great works, including poetry, rhetoric, and Spanish selections.

Based on individual student needs and performance measures within Amplify ELA reports, teachers are able to select the differentiation level that’s best for each student. When students reach an activity, the platform delivers the assigned differentiation, allowing all students to experience the same lesson with supports tailored to their unique needs.

What’s more, when logging in each morning, teachers will be greeted by their Amplify ELA Homescreen where they can view a snapshot of student performance, access reports, see which students are struggling, and easily return to where they left off the day before.

  • Our close reading apps bring texts to life for students. Students zoom in on specific moments of the text and map out character traits, trace emotions throughout a text, and gather evidence to build a case. These apps are also flexible so teachers can create their own activities for Amplify ELA core texts, texts in the library, and texts they bring in from other sources.
  • The Vocab App strengthens vocabulary skills with fun and fully differentiated adaptive games, repeated encounters with new words across multiple contexts, and an interactive stats page that helps students track their own progress.
  • Quests are fun, week-long explorations that help students practice analytical reading, writing, speaking, and listening skills while building a strong classroom community. In each Quest, students step into the world of the text they have been reading. They interact with different complex texts in multiple formats and media, gather evidence from these texts and interactions with classmates, and work together to achieve the Quest goal.

With Amplify ELA, your students will benefit from embedded assessments that maximize instructional time and allow them to keep learning without the disruption of step-away performance tests.

In addition, as students complete activities within lessons and units, Amplify ELA teacher and admin reports provide a continuously updated picture of how each student is progressing with key skills and standards. Data is gathered from daily learning moments, allowing you to keep teaching while building a clear understanding of student performance.

Providing feedback has never been easier. With Classwork, teachers can review student writing and multiple choice answers and easily add scores and comments (and even emojis) all in one place, giving students the immediate feedback they need to further develop their confidence and literacy skills.

Step 3: Program Resources

Digital navigation walkthrough

Physical materials walkthrough

Step 4: State Review Resources

Utah submission resources:

ELA review resources:

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the Amplify ELA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify ELA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username and password found on the login flyer PDF.
  • Click the ELA icon.
  • Select a grade level from the drop-down menu at the top of the page.

Explore as a student

Before logging in, watch this brief video on navigating the Amplify ELA Student Platform.

Ready to explore as a student? Follow these instructions:

  • Click the Amplify ELA Student Platform button below.
  • Select Log in with Amplify.
  • Enter the student username and password found on the login flyer PDF.
  • Click the ELA icon.
  • Select a grade level from the drop-down menu at the top of the page.

South Carolina ELA Review for grades 6–8

Thank you for taking the time to review Amplify’s core ELA program for 6–8.

Amplify ELA is a cutting-edge and effective program that engages middle schools students through a unique blend of digital and print lessons, dynamic texts, lively discussions, and interactive Quests.

Illustration of a diverse group of people and nature elements, featuring a prominent figure with floral hair decorations and a scene of communal interaction in the background.

Getting started

On this site, you’ll find a variety of resources designed to support your review and evaluation of the program. Before you start scrolling, watch the video below to learn about Amplify ELA’s alignment to South Carolina’s literacy initiatives as well as where to find key program resources.

South Carolina review documents

Please use the provided Amplify credentials to access the ELA content cited below.

What is Amplify ELA 6-8?

Amplify ELA helps students develop the essential skills of reading, writing, speaking, and listening, and features:

  • Complex, content-rich literary and informational texts.
  • Differentiated supports throughout the program that allow every student to engage deeply with the same complex texts, and an interactive eReader with an array of multimedia tools.
  • Embedded assessments that allow for uninterrupted instructional time.
  • Comprehensive print materials, including Teacher Editions, Student Editions, and Writing Journals for grades 6–8.
  • The Amplify Library—a digital collection of more than 700 full-length texts.

In the videos below, hear about current educators’ experiences with Amplify ELA and the positive impact it has made in their classrooms.

Why Review ELA 6-8?

Amplify ELA’s hybrid curriculum empowers teachers to decide when and how their students use technology without the worry of compromising learning. Whether implemented in high tech or low tech classrooms, teachers can easily and confidently provide 100% standards coverage.

Amplify ELA’s structured yet flexible lessons are grounded in regular routines while still allowing for a variety of learning experiences and continuous student engagement.

There is never a dull moment on a middle school campus. For that reason, some schools appreciate having a flexible pacing option. Our abridged lesson pathways ensure full coverage of the standards in just 100 lessons.

Amplify ELA features high-quality lessons grounded in great books, with powerful multimedia tools to immerse young adolescents in reading, writing, and speaking.

Our rich and relevant texts are more than just excerpts. With more than 700 full titles in our digital library plus a variety of Novel Guides, Amplify ELA engages and inspires middle schoolers with great works, including poetry, rhetoric, and Spanish selections. This extensive booklist can be customized to meet individual district needs and preferences.

Amplify ELA Novel Guides provide middle school teachers with flexible study guides for the books they most want to teach and provide students with lean, targeted instruction that follows the pedagogy in core units. The diverse selection of books in this series presents a range of genres and themes, from mystery to non-fiction and from social justice to identity and courage.

All Novel Guides are housed in the Amplify Library as downloadable and printable PDFs. They’re designed to be used flexibly and include suggestions for implementation.

A selection of these guides are also available as digital units, accessible by teacher and student and fully aligned to the corresponding print novel guide. The digital versions of these Novel Guides allow all students to read the text, complete activities, and submit work through Amplify’s curriculum application.

Based on individual student needs and performance measures within Amplify ELA reports, teachers are able to select the differentiation level that’s best for each student. When students reach an activity, the platform delivers the assigned differentiation, allowing all students to experience the same lesson with supports tailored to their unique needs.

  • Our close reading apps bring texts to life for students. Students zoom in on specific moments of the text and trace characters’ emotions throughout a text, gather evidence to build a case, and create storyboards that render their understanding of a text.
  • The Vocab App strengthens vocabulary skills with fun and fully differentiated adaptive games, repeated encounters with new words across multiple contexts, and an interactive stats page that helps students track their own progress.
  • Quests are fun, week-long explorations that help students practice analytical reading, writing, speaking, and listening skills while building a strong classroom community. In each Quest, students step into the world of the text they have been reading. They interact with different complex texts in multiple formats and media, gather evidence from these texts and interactions with classmates, and work together to achieve the Quest goal.

With Amplify ELA, your students will benefit from embedded assessments that maximize instructional time and allow them to keep learning without the disruption of step-away performance tests.

In addition, as students complete activities within lessons and units, Amplify ELA teacher and admin reports provide a continuously updated picture of how each student is progressing with key skills and standards. Data is gathered from daily learning moments, allowing you to keep teaching while building a clear understanding of student performance.

Providing feedback has never been easier. With Classwork, teachers can review student writing and multiple choice answers and easily add scores and comments (and even emojis) all in one place, giving students the immediate feedback they need to further develop their confidence and literacy skills.

Digital navigation walkthrough

SC ELA Navigation Guide

Access the resources

Ready to explore as a teacher? Follow these instructions:

Ready to explore as a student? Follow these instructions:

Amplify literacy success K-8

See our Science of Reading solutions in action! Click here to see a real example of how one Ohio district is implementing and educating their K–8 community on the Science of Reading as a response to Ohio’s Plan to Raise Literacy Achievement Initiative.

Additional resources

Amplify ELA review resources:

Georgia ELA State Review for 6–8

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Big Ideas

Grade 6

Chapter 2: Fractions and Decimals

Big IdeasDesmos Classroom
Lesson 2: Dividing FractionsUnit 4
Lesson 3: Flour Planner
Lesson 4: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5: Multiplying DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 6: Dividing Whole NumbersUnit 5
Lesson 13: Movie Time
Lesson 7: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Chapter 3: Ratios and Rates

Lesson 1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 4: Fruit Lab
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Using Ratio TablesUnit 2
Lesson 10: Disaster Preparation
Lesson 4: Graphing Ratio RelationshipsUnit 2
Lesson 10: Disaster Preparation
Lesson 5: Rates and Unit RatesUnit 3
Lesson 6: Soft Serve
Lesson 6: Converting MeasuresUnit 3
Lesson 1: Many Measurements

Chapter 4: Percents

Lesson 1: Percent and FractionsUnit 3
Lesson 9: Lucky Duckies
Lesson 2: Percent and DecimalsUnit 5
Lesson 2: Decimal Diagrams and Algorithms

Chapter 5: Algebraic Expressions and Properties

Lesson 2: Writing ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 3: Properties of Addition and MultiplicationUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 4: The Distributive PropertyUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Chapter 6: Equations

Lesson 1: Writing Equations in One VariableUnit 6
Lesson 1: Weight for It

Chapter 7: Area, Surface Area, and Volume

Lesson 1: Areas of ParallelogramsUnit 1
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 5: Surface Area of prismsUnit 1
Lesson 10: Renata’s Stickers

Chapter 8: Integers, Number Lines, and the Coordinate Plane

Lesson 1: IntegersUnit 7
Lesson 1: Can You Dig It?
Lesson 2: Comparing and Ordering IntegersUnit 7
Lesson 4: Order in the Class
Lesson 3: Rational NumbersUnit 7
Lesson 4: Order in the Class
Lesson 7: Writing and Graphing InequalitiesUnit 7
Lesson 7: Tunnel Travels

Chapter 9: Statistical Measures

Lesson 1: Introduction to StatisticsUnit 8
Lesson 3: Minimum Wage
Lesson 2: MeanUnit 8
Lesson 11: Toy Cars
Lesson 3: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 4: Measures of VariationUnit 8
Lesson 11: Toy Cars

Chapter 10: Data Displays

Lesson 2: HistogramsUnit 8
Lesson 5: The Plot Thickens
Lesson 4: Choosing Appropriate MeasuresUnit 8
Lesson 3: Minimum Wage
Lesson 11: Toy Cars

Grade 7

Chapter 1: Adding and Subtracting Rational Numbers

Big IdeasDesmos Classroom
Lesson 1: Rational NumbersUnit 5
Lesson 1: Floats and Anchors
Lesson 2: Adding Integers
Lesson 4: Subtracting Integers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Lesson 3: Adding Rational Numbers
Lesson 5: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles

Chapter 2: Multiplying and Dividing Rational Numbers

Lesson 1: Multiplying IntegersUnit 5
Lesson 10: Integer Puzzles

Chapter 3: Expressions

Lesson 1: Algebraic ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 2: Adding and Subtracting Linear ExpressionsUnit 6
Lesson 10: Collect the Squares
Lesson 3: The Distributive PropertyUnit 6
Lesson 10: Collect the Squares

Chapter 4: Equations and Inequalities

Lesson 1: Solving Equations Using Addition or Subtraction
Lesson 2: Solving Equations Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 4: Writing and Graphing InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 5: Solving Inequalities Using Addition or Subtraction
Lesson 6: Solving Inequalities Using Multiplication or Division
Unit 6
Lesson 16: Shira the Sheep
Lesson 7: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Chapter 5: Ratios and Proportions

Lesson 1: Ratio and Ratio TablesUnit 2
Lesson 1: Paint
Lesson 3: Identifying Proportional RelationshipsUnit 2
Lesson 6: Two and Two
Lesson 3: Measuring Around
Lesson 5: Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops

Chapter 6: Percents

Lesson 1: Fraction, Decimals, and PercentsUnit 4
Lesson 1: Mosaics
 
Lesson 4: Percents of Increase and DecreaseUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)
Lesson 5: Discounts and MarkupsUnit 4
Lesson 5: Percent Machines
Lesson 12: Posing Percent Problems (coming soon!)

Chapter 7: Probability

Chapter 8: Statistics

Lesson 1: Samples and PopulationsUnit 8
Lesson 10: Crab Island
Lesson 2: Using Random Samples to Describe populationsUnit 8 
Lesson 10: Crab Island
Lesson 3: Comparing Populations
Lesson 4: Using Random Samples to Compare Populations
Unit 8
Lesson 10: Crab Island

Chapter 9: Geometric Shapes and Angles

Lesson 1: Circle and CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 2: Areas of CirclesUnit 3
Lesson 9: Area Challenges
Lesson 5: Finding Unknown Angle MeasuresUnit 7
Lesson 4: Missing Measures

Grade 8

Chapter 1: Equations

Big ideasDesmos Classroom
Lesson 2: Solving Multi-Step EquationsUnit 4
Lesson 5: Equation Roundtable
Lesson 3: Solving Equations with Variables on Both SidesUnit 4
Lesson 5: Equation Roundtable

Chapter 2: Transformations

Chapter 3: Angles and Triangles

Lesson 2: Angles and TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 4: Using Similar TrianglesUnit 2
Lesson 1: Sketchy Dilations
Lesson 2: Dilation Mini Golf

Chapter 4: Graphing and Writing Linear Equations

Lesson 1: Graphing Linear EquationsUnit 3 Lesson 4: Flags
Lesson 2: Slope of a LineUnit 3 Lesson 4: Flags
Lesson 3: Graphing Proportional RelationshipsUnit 3
Lesson 1: Turtle Time Trials
Lesson 4: Graphing Linear Equations in Slope-Intercept FormUnit 3
Lesson 4: Flags

Chapter 5: Systems of Linear Equations

Lesson 1: Solving Systems of Linear Equations by GraphingUnit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Chapter 6: Data Analysis and Displays

Lesson 1: Scatter PlotsUnit 6
Lesson 3: Robots
Lesson 2: Lines of FitUnit 6
Lesson 4: Dapper Cats
Lesson 3: Two-Way TablesUnit 6
Lesson 11: Finding Associations

Chapter 7: Functions

Lesson 1: Relations and FunctionsUnit 5
Lesson 1: Turtle Crossing
Lesson 2: Guess My Rule
Lesson 2: Representations of FunctionsUnit 5
Lesson 5: The Tortoise and the Hare

Chapter 8: Exponents and Scientific Notation

Lesson 1: ExponentsUnit 7
Lesson 3: Power Pairs
Lesson 2: Products of Powers PropertyUnit 7
Lesson 3: Power Pairs
Lesson 6: Scientific Notation
Lesson 7: Operations in Scientific Notation
Unit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

Chapter 9: Real Numbers and the Pythagorean Theorem

Lesson 1: Finding Square RootsUnit 8
Lesson 4: Root Down
Lesson 3: Finding Cube RootsUnit 8
Lesson 4: Root Down

Chapter 10: Volume and Similar Solids

Lesson 1: Volumes of CylindersUnit 5
Lesson 11: Cylinders
Lesson 2: Volumes of ConesUnit 5
Lesson 13: Cones

Desmos Math 6–A1 correlations with Carnegie Math Texas

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Welcome, Louisiana reviewers

mCLASS Intervention is an evidence-based program for helping struggling K-6 readers catch up to grade level. Importantly, it:

  1. Uses data from the Louisiana state-approved early literacy screening assessment, DIBELS 8th Edition, when collected on the mCLASS platform.
  2. Aligns with CKLA, a Tier 1 K–5 Core Curriculum reviewed by the Louisiana Department of Education that uses similar approaches to teach reading skills.
  3. Gives teachers time back in the day by doing the heavy lifting of data analysis and lesson sequencing, helping make effective staff-led intervention a reality.

A collaboration between Amplify, classroom practitioners, and leading researchers including Dr. Catherine Snow, mCLASS Intervention offers Louisiana schools a standards-aligned program grounded in the science of reading. As a trusted partner across the state, we look forward to working with you to ensure teachers and students have access to high-quality instructional materials.

Program overview

mCLASS Intervention is a staff-led, supplemental Tier 2/3 intervention program that covers the five big ideas of reading, using the continuum illustrated below. Each hexagon represents a skill taught in mCLASS Intervention. Skills to the left are generally precursors to skills on the right.

The strength of mCLASS Intervention comes from its technology-powered algorithm. Using sophisticated software algorithms, mCLASS Intervention automatically:

  • Analyzes DIBELS 8th Edition and diagnostic measure results collected via the mCLASS platform.
  • Determines which skills each student already knows and which they are ready to learn next.
  • Puts students into small homogeneous groups of 4–6.
  • Compiles detailed lessons that target the specific needs of each group.

Here is a brief example of how mCLASS Intervention identifies the right target for each student.  The image below shows the MOY Nonsense Word Fluency (NWF) results for two first-grade students—Student A and Student B.

They both scored 29, which is Well Below Benchmark for this time of year. In spite of the students having the same score, mCLASS Intervention employs automatic analysis of item-level responses to detect that they are actually at different points in the continuum. For Student A, mCLASS Intervention recommends a focus on letter-sound knowledge, and sounding out and blending. For Student B,  mCLASS Intervention recommends a focus on Regular & Irregular Word recognition. (mCLASS Intervention spirals instruction by having students work in two strands at the same time.) Without mCLASS Intervention, this type of analysis would take educators hours to complete and, as a result, could only be completed sporadically. The automatic nature of mCLASS Intervention’s data analysis algorithm makes it possible for busy educators to complete this analysis regularly, which in turn enables them to continually target intervention instruction at students’ evolving needs, day after day. 

The mCLASS Intervention algorithm not only determines the ideal instructional focus for each student, but also automatically forms small groups of 4–6 students who share the same instructional focus and builds a 10-day plan with detailed lessons that target the specific needs of each group.

Each 10-day plan systematically builds skills. For example, in the 10-day plan below, mCLASS Intervention has a particular group of students work on phonological awareness and letter sound knowledge. And within phonological awareness, mCLASS Intervention first introduces the group to phoneme segmentation; moves students through phoneme identification and substitution in subsequent days; then finishes with first, last, and middle sound segmentation.

This systematic move from less advanced to more advanced skills allows for spaced practice over time, which research has shown to have significant impact on student literacy growth. 

In a Tier 2 intensity, mCLASS Intervention lessons last 30 minutes per day and are delivered daily in groups of 4–6 students. Each session has five activities and each activity is 5–8 minutes long. In a Tier 3 intensity, mCLASS Intervention lessons can be 30 or 60 minutes per day and are delivered daily in groups of 3–4 students. 

Below is an example of a middle sound segmentation activity.

We want to highlight two things from this example: 1) The instructional approach is explicit, and 2) the guidance provided is very detailed.

Explicit instructional approach: All mCLASS Intervention activities begin with a Model (“I Do”) followed by a Practice (“You Do”). During the Model section, the instructor demonstrates how to do the activity. During the Practice section, the instructor has students practice. mCLASS Intervention uses subtle but impactful moves to maximize students’ independent thinking during the Practice portion of an activity. For example, in this activity, mCLASS Intervention has the instructor call on a student only after posing the question to all students in the group and giving the group 3–5 seconds of “think time.” This approach helps instructors keep all students mentally engaged because, should they take the opposite approach of calling on one student and then asking the question, the students who were not called on would tune out and inadvertently rob themselves of crucial practice opportunities they need to catch up to their grade-level peers.  

Detailed guidance: Because mCLASS Intervention activities are detailed, both certified educators and paraprofessionals with little or no training in early elementary reading can deliver mCLASS Intervention with impact. This detailed guidance gives schools a range of options when it comes to staffing intervention, and that added flexibility is vital—especially for moderate and high need schools, which often struggle to provide intervention to all students in need.

Keep in mind that an activity such as the one above represents just 1/5th of a lesson. The additional four activities that round out a 30-minute intervention lesson are short (5–8 minutes each) and varied. Some cover one skill of focus, while others cover the other skill of focus. mCLASS Intervention also regularly incorporates game-based, kinesthetic, peer-to-peer approaches to further increase student engagement and, as a result, educators often report that mCLASS Intervention is their students’ favorite part of the day.  We think this is because students get more attention in a small group; the instruction is targeted to their needs so they are neither bored nor overly frustrated; and the 30 minutes are filled with short, varying, fast-paced, high-energy activities.

The swift pace of mCLASS Intervention is present in the activities that older students work on as well. These students often work on fluency and comprehension at the same time. In the 10-day plan below, you can see how their lessons include the same structure of short and varying activities.

Program components

Site License

Each school needs a site license to the mCLASS Intervention software.  This provides access to the tools interventionists use throughout the year, such as:

  • An assessment app for conducting progress monitoring.
  • A grouping tool that forms small groups of 4–6 students with similar skill profiles.
  • A lesson builder that delivers customized 10-day lesson plans for groups.

See sample 10-day lesson plans

  • Analytical reports for reviewing progress.
  • A practice app for K–2 students to use outside of intervention time.

mCLASS Intervention Kit

mCLASS Intervention kits are recommended, but optional. These kits include the following materials that interventionists bring to lessons:

  • Picture cards
  • Letter cards
  • Regular word cards
  • Irregular word cards
  • Letter combination cards
  • Vocabulary cards
  • Fluency cards
  • Puppet 
  • Resealable bags
  • Magnifying glass
  • Portable whiteboard
  • Dry-erase markers
  • Counting chips
  • Decoding assessment book
  • Vocabulary assessment books
  • Comprehension assessment book

We recommend one mCLASS Intervention kit per interventionist serving K–3 and one mCLASS Intervention kit per interventionist serving 4–6. 

If a school is not able to purchase one kit per interventionist, educators can assemble the materials themselves using our directions here.

DIBELS 8th Edition Kit

Educators administer DIBELS 8th Edition and proprietary diagnostic probes to place intervention students into the program.

Schools can purchase DIBELS 8th Edition kits through Amplify or download forms from the University of Oregon’s site here

For the proprietary diagnostic probes, educators can find the assessment forms in the mCLASS Intervention kit or download them from our teacher portal here

Getting mCLASS Intervention up and running

We have step-by-step guides with training videos and detailed FAQs to help educators get mCLASS Intervention running smoothly in their schools.

  • Schools that screen with DIBELS via mCLASS follow these steps to get Intervention up and running.
  • Schools that screen with another reading assessment (e.g., paper/pencil DIBELS, iReady, NWEA MAP) follow these steps to get Intervention up and running.

Take a tour

Find step-by-step instructions for reviewing lessons and placement materials in our navigation guide

This short video below shows you what those steps look like.

Professional development

For more than a decade, Amplify has provided high-quality customized professional development to meet the specific needs of educators at all levels and improve student outcomes across multiple schools, districts, and states. Our professional development opportunities extend beyond initial product trainings and are proven to leverage data to support effective implementation, consistent administration, focused progress monitoring, skill-focused data analysis, and instructional planning.

There are two distinct roles in mCLASS Intervention critical to ensuring its success at a school site. Professional development is designed to target these different roles:

  • Intervention Coordinator:
    Oversees the mCLASS Intervention program, groups students, determines group assignments, adjusts schedules, and works closely with Interventionists. 
  • Interventionists:
    Instructors who deliver the daily mCLASS Intervention program to small groups of students and monitor students’ progress every two weeks. 

We deliver professional development sessions through multiple formats, including:

  • Onsite:
    Sessions are delivered in person (30 participants).
  • Virtual:
    Sessions are delivered remotely through webinars (15 participants).
  • On demand:
    Resources are posted on the training platform and can be accessed anytime (Individually).

We offer two types of training to support implementation of mCLASS Intervention: Initial Training Sessions and Coaching Sessions.

TRAINING TYPEPURPOSEDATE
Initial Training SessionsIntroduce all stakeholders to mCLASS Intervention and the responsibilities of their individual roles.Beginning of year
Coaching SessionsSupport Intervention Coordinators with data management and fidelity, and support teachers with lesson delivery, progress monitoring, and data analysis.As identified by school

Initial Training Sessions

Training title

Modality

Objectives

Comprehensive Initial Training

1.5 days

Hybrid model*

  • ½-day remote webinar for Intervention Coordinators
  • 1-day onsite training for Interventionists

Interventionist coordinator objectives:

  • Understand how mCLASS Intervention works and what is required to maximize student progress.
  • Learn how to optimize groups and staff schedules to serve all students in need of intervention.
  • Develop the implementation work plan for the school.

Interventionist objectives:

  • Learn how mCLASS Intervention works.
  • Deliver lessons that maximize student progress.
  • Improve lesson delivery, with feedback from certified trainer.
  • Monitor progress with Intervention measures.
  • Increase accuracy of administration of measures.

Comprehensive Initial Training

1.5 days

Remote model*

  • ½-day remote webinar for Intervention Coordinators
  • 1-day remote training for Interventionists
 

*Depending on your needs, Amplify can also deliver these sessions in a Training of Trainers (TOT) model, where sessions are delivered to select leaders from each school, and participants will turn-key training content to their colleagues.

Our Coaching Sessions are also offered in multiple formats, to include full- and half-day in-person sessions, and hourly remote sessions.

Coaching Sessions

Training title

Modality

Objectives

One-day Coaching 1-day onsite

Objectives for these sessions will depend on the content needs determined by the school. Topics can include but are not limited to:

  • Observing Intervention lessons and providing feedback.
  • Analyzing mCLASS Intervention data.
  • Reviewing student progress, and planning next steps.
  • Refining groups and schedules.
  • Co-planning and modeling Intervention lessons.

Half-day Coaching ½-day onsite
Hourly Coaching 1-hour remote

FAQ’s

Do schools need to screen with mCLASS DIBELS 8th Edition to use mCLASS Intervention?

No. Amplify has an mCLASS Intervention offering designed for schools that use their own reading screener. These schools use the results from their own reading assessment to determine who’s at risk. Then they administer DIBELS 8th Edition and Amplify’s proprietary diagnostic measure via mCLASS to the students who will receive mCLASS Intervention. Of course, we highly recommend using mCLASS DIBELS 8th Edition for screening the entire class, as it would efficiently serve as both a screener and placement tool into mCLASS Intervention.

How does placement into mCLASS Intervention work?

You can learn on our teacher portal site. Here are the placement procedures for schools that:

Screen with mCLASS DIBELS 8

Screen with their own reading assessment

Does mCLASS Intervention teach skills that are taught in previous grades?

Yes, mCLASS Intervention was designed to detect students’ earliest skill gaps and provide teachers with high-quality resources for addressing them. 

How do teachers set goals?

mCLASS Intervention comes with a goal-setting tool that helps educators choose goals for students. It does this by providing score ranges that represent average, above average, and well above average growth in the skills being worked on.

Introduction

Amplify’s Next Generation Science Standards (NGSS) Benchmark Assessments are designed to help teachers measure student progress toward the three dimensions—Disciplinary Core Ideas (DCIs),  Science and Engineering Practices (SEPs), and Crosscutting Concepts(CCCs)—and performance expectations (PEs) of the NGSS. The assessments provide important insight into how students are progressing toward mastery of different standards ahead of high-stakes, end-of-year assessments.

The NGSS Benchmark assessments are built to be delivered after specific units in the recommended Amplify Science scope and sequence*. They are given 3–4 times per year, depending on the grade level. The benchmarks are intended to show progress at various points in time across a school year, and are therefore not summative in nature. Digital items and item clusters are also tagged to specific NGSS standards, allowing customization to align with other course sequences. The assessments are available via the following platforms:

Print

  • PDF files: For administering Benchmark Assessments on paper

Digital

  • Illuminate
  • SchoolCity
  • Otus
  • QTI (“Question and Test Interoperability”) files
    • Not sure whether QTI files are compatible with your assessment platform? Contact your school IT or assessment platform representative for more information. 
    • Please note that Amplify is able to provide access to the QTI files themselves, but is not able to support the integration process. Your assessment platform provider should be able to assist with  QTI file integration.

*The Amplify NGSS Benchmark Assessments are separate from the Amplify Science program. They were not created by the Lawrence Hall of Science.

Current customers

If you are a current NGSS Benchmark assessment customer looking for information about the assessments, see this help page.

Assessment structure and scoring

Structure
Each assessment is structured in two segments, and designed to be administered in a 90 minute session.

  • Segment A: a sequence of multiple choice questions
  • Segment B: a series of performance tasks, short responses, and multiple choice questions

Grades 3–5 have 4 benchmark assessments per grade, with 14–15 items per assessment.

Grades 6–8 have 3 benchmark assessments per grade, with 25–26 items per assessment. Grades 6–8 can be structured to follow either an integrated or a discipline/domain model.

Scoring
Each NGSS dimension is tested by a minimum of 3 items per grade level. Reporting categories are defined at multiple levels, including individual NGSS dimensions and Performance Expectations.

Each item carries a recommended value of 1–3 points, and each assessment is accompanied by a teacher Scoring Guide that details for each item:

  • NGSS standards alignment
  • Depth of Knowledge (DOK)
  • Answer Key
  • Item Type
  • Recommended score

Sample Assessment Items

Grade 3 Benchmark Assessment Form D

Grade 5 Benchmark Assessment Form D

Earth and Space Science Benchmark Assessment Form A

Frequently asked questions

Question Answer

Are the Benchmarks aligned with Amplify Science unit content?

Not exactly. Amplify provides a recommended placement for Benchmark assessments after particular sets of units in the Amplify Science sequence, based on general standards coverage in those units. The content of the Benchmarks is more broadly tied to the NGSS dimensions and performance expectations, rather than the specific content/phenomena of the Amplify Science units. These recommendations are visible on the Benchmark Assessments page for current customers.

Can the Benchmarks replace the Amplify Science curriculum assessments?

Definitely not! The pre-unit, critical juncture, and post-unit assessments embedded in the Amplify Science curriculum are designed to assess students’ progress toward the learning goals (the progress builds and phenomena) specific to each unit.

In contrast, the Benchmark assessments were designed to measure student progress toward the NGSS dimensions and performance expectations ahead of end-of-year tests. Benchmarks should NOT be graded, or used in place of the unit assessments.

How can I access the Benchmarks?

If your school or school district has purchased Amplify Science, the app will be linked in your Global Navigation Menu (see screenshot below). That page contains information on administering the Benchmarks on all available platforms, as well as links to download any files you might need, such as printable PDFs.

Screenshot of an educational website for 3rd grade science featuring menu icons for various modules like "library", "gradebook", and sections on "inheritance", "weather and climate".

State-approved | Grades 6–8 and Algebra 1

Amplify Math for Idaho

Dear Idaho math educators,

We’re honored that you’re reviewing Amplify Math for use with your middle school students.

We’re confident you’ll find this Idaho-approved program to be a powerful tool for getting all your students talking and thinking about math concepts together.

On this site, you’ll find a variety of resources to guide you in your review, including demo account access. We look forward to meeting you and showing you what makes this program so unique.

Yvonne Rhode and Kristen Rockstroh
Idaho Account Executives

A miniature yellow van with luggage on top is parked next to a small stop sign, with a blurred, colorful vehicle in the background. Text reads: "Your literacy journey stops here!.

Virtual Caravan Stop

Amplify Math isn’t your traditional core math program. It’s different to make a difference—and the results are simply undeniable. Watch our virtual caravan presentations to the right and learn about the research-based approaches built right into this high-quality solution. Plus, see how Amplify Math brings student-centered learning to life for students in grades 6–8.

What it is

Amplify Math is a brand-new program based on the highly-rated Illustrative Mathematics curriculum IM K–12 Math™️.

It’s designed around the idea that a core math curriculum needs to serve 100 percent of students in accessing grade-level math every day. To that end, Amplify Math delivers:

  • Engaging, discourse-rich math lessons that are easier to teach.
  • Flexible, social problem-solving experiences both online and off.
  • Real-time insights, data, and reporting that inform instruction.
amplify math middle schoolers in classroom

How it works

Amplify Math delivers the instructional power of student-centered learning packaged in a lesson format that is easy and manageable. With easy-to-follow instructional supports, implementing a problem-based program becomes more effective and enjoyable for both you and your students. Paired with our digital experience, math class becomes fun and dynamic, with plenty of opportunities for students to talk through their reasoning, work with their peers, and gain new understandings.

A laptop displays geometric shapes in a teaching demo. Nearby, a separate document with text and diagrams is visible.

Featuring Desmos and more

Desmos digital lessons

Digital lessons should be powerful in their ability to surface student thinking and spark interesting and productive discussions. We’ve partnered with Desmos to bring this vision to life with our complete library of social, collaborative lessons powered by Desmos technology.

A laptop displays an educational program with a rocket simulation on the left and a graph of rocket launch trajectories versus time on the right.

Engaging student experience

Relevant content and interactive math tools create an intuitive and engaging student experience. Plus, working together in real time allows them to see that communicating their ideas and learning from each other are important parts of math class.

A diagram on a tablet screen shows a person holding multiple leashes, each attached to a different colored dog. Text describes a walking challenge activity.

Visibility into student thinking

Imagine having more visibility into your students’ mathematical thinking. Now imagine students have access to this same information. With Amplify Math’s collaborative lesson interface and teacher dashboard, students can’t hide. What’s more, they have visibility into the thinking of their peers—exposing them to a wider variety of approaches to solving the same problem.

A computer screen shows a student response interface, displaying a comment explaining why a square is a type of rectangle.

Pre-requisite skill building

Power-ups provide just-in-time support to help student strengthen pre-requisite skills before engaging in whole-class activities. Power-ups ensure all students have a chance to experience success in the day’s lesson even if they might be several years behind. Not teaching online? They’re available in the Teacher Edition, too.

A laptop screen displays a grid of class members' names with checkmarks and X symbols, indicating progress or completion status in an online learning platform.

Ready-to-teach lesson slides

Every lesson of Amplify Math includes ready-to-teach lesson slides complete with step-by-step teaching notes, suggested student and teacher responses, options for differentiating instruction, links to useful resources, and tips for supporting students through common trouble-spots. Teacher can also customize their lesson slides, adding their own flavor, flair, and favorite problems—enabling them to truly make the lesson their own.

A laptop screen displays an educational interface with a colorful geometric shape, shape options to choose from, and instructional text on the right side.

Presentation sync and student pacing

Being able to control what slides students see and when gives teachers the ability to control the pace of the lesson to suite the needs of the class. When Presentation Sync is turned on, students can access all the slides in the lesson. When it’s off, it ensures students’ screens follow the teacher’s. Teachers can also set a range of slides, which allows students to work at their own pace within the unlocked slides only.

A laptop displays an educational interface with a decimal lesson, pop-up notification, and navigation bar showing multiple open slides at the bottom.

Standards-level reports

Not only do our reports show progress toward standards mastery, they include detail on how students performed against the standard in the past and how many more encounters are yet to come. This feature alone helps teachers prioritize instruction and intervene with additional resources when necessary.

A computer screen displays a New York math skills tracking interface, highlighting standard 6.EE.C.9, with progress indicators and a class average score of 74% shown in a yellow pie chart.

Focus on math identify

Helping students develop strong, healthy, and flexible math identities is a cornerstone of Amplify Math. Throughout the program, students are taught that they themselves are mathematicians, that today’s math was largely shaped by a diverse range of mathematicians who deserve to be learned about, and that learning is never finished.

Illustration of a laptop displaying various colorful icons and graphics representing diverse professions and historical figures on its screen, emphasizing illustrative mathematics and desmos math concepts through its displayed content.

Access demo

Ready to explore the program? Follow these simple instructions to access our program digitally.

  • Watch the video to the right or use this document to learn how to navigate our print and digital components.
  • Click the Access demo button.
  • Select Log in with Amplify.
  • Enter the login credentials found on the unique login flyer provided. If no login flyer was provided, use the following credentials:
    • Username: t1.idahomath8@demo.tryamplify.net
    • Password: Amplify1-idahomath8
  • Click on any of the six units to explore.

Contact us

Support is always within reach. Our team is dedicated to supporting districts across Idaho and can be reached at any time by emailing HelloIdaho@amplify.com or by calling us directly.

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Yvonne Rhode

Sr. Account Executive

Districts over 4,700 students

(480) 673-0019

yrohde@amplify.com

Portrait of a smiling woman with blonde hair, wearing a pink and white gingham shirt and stud earrings.

Kristen Rockstroh, M.Ed.

Account Executive

Districts under 4,700 students

(480) 639-8367

krockstroh@amplify.com

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Fawn Nguyen

Math Specialist

(805) 328-1115

fnguyen@amplify.com

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Francis Ogata

Math Specialist

(916) 521-1467

fogata@amplify.com

S3-04: Using AI and ChatGPT in the science classroom

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

In the latest episode of the Science Connections podcast, we explore AI in education and its impact on students. Listen as I sit down with teachers Donnie Piercey and Jennifer Roberts to discuss ChatGPT and how we can use it to build science and literacy skills in K–12 classrooms while preparing students for the real world.

And don’t forget to grab your Science Connections study guide to track your learning and find additional resources!

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Jennifer Roberts (00:00:00):

If a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world.

Eric Cross (00:00:07):

Welcome to Science Connections. I’m your host, Eric Cross.

Eric Cross (00:00:12):

This season of the podcast, we’re making the case for everyone’s favorite underdog, science. Recently we’ve been highlighting the magic that can come from integrating science and literacy. So if you haven’t checked out those recent episodes, definitely go back in your feed after you’re done with this one. This time around, we’re going to deep dive into what artificial intelligence means for literacy instruction, and how science can be a force for good, in responsibly exposing students to AI. To help me out, I’m joined by two extremely accomplished educators. Jen Roberts, a veteran high-school English teacher from San Diego, who among many things runs the website LitAndTech.com. And I’m also joined by fifth-grade teacher Donnie Piercey. In addition to being Kentucky’s 2021 Teacher of the Year, Donnie also has an upcoming book about bringing AI into the classroom. Whether you’ve never heard of ChatGPT or whether you’re already using it every day, I think you’ll find this a valuable discussion about the intersection of science, English, and technology. Here’s Jen and Donnie.

Eric Cross (00:01:17):

So first off, welcome to the show. It’s good to see you all. What I wanna do is kind of start off by introducing both of you. And so we’ll just go K–12. So <laugh>, Donnie.

Jennifer Roberts (00:01:30):

Donnie goes first.

Eric Cross (00:01:31):

Donnie’s gonna go first. Donnie out in Kentucky. Just a little background. What do you teach; how long you’ve been in the classroom; and what are you having fun with right now?

Donnie Piercey (00:01:38):

Yeah, so my name is Donnie Piercey. I’m a fifth-grade teacher from Kentucky. Live and teach right here in Lexington, Kentucky, right in the center of the state. I’m the 2021 Kentucky Teacher of the Year. But I’ve been teaching elementary school for the past … I think this is year 16 or 17. It’s long enough where I’ve lost count, and I can’t even count on fingers anymore. My friends like to joke that I’ve taught long enough where now I can count down. You know, it’s like, “All right, only so many more years left.” But yeah, teach all subjects. Science definitely is one of the subjects that I don’t just try to squeeze into my day, but make sure that … it’s not even a devoted subject, but one that I definitely try to — don’t just have that set time, but also try to do some cross-curricular stuff with it. So definitely the rise of AI in these past few months, which feels like years by this point, has definitely played quite the role, in not just changing the way that I’ve been teaching science, but really all my subjects. So, excited to chat with y’all about it.

Eric Cross (00:02:47):

Nice. I’m excited that you’re here. And Jen?

Jennifer Roberts (00:02:51):

Hi, I’m Jen Roberts. I teach ninth-grade English at Point Loma High School, and that’s where I usually stop when I introduce myself. But for your sake—

Eric Cross (00:03:00):

I will keep introducing you if you stop there. <laugh>

Jennifer Roberts (00:03:04):

I am nationally board-certified in English Language Arts for early adolescence. I am the co-author of a book called Power Up: Making the Shift to 1:1 Teaching and Learning, from Stenhouse, with my fabulous co-author Diana Neebe. Shout out to Diana. I blog at LitAndTech.com about teaching and technology and literacy and the intersection of those things. And I’m looking forward to talking about how AI is showing up in my classroom and the fun things I’m doing with it.

Donnie Piercey (00:03:31):

And one of us is actually secretly a robot, and you have to guess which one.

Jennifer Roberts (00:03:35):

Have to guess which one. Yes. <laugh>

Eric Cross (00:03:37):

That would be super-meta. And you were the CUE — Computer-Using Educator — outstanding teacher or educator? Whatever. Either one. Of the year.

Jennifer Roberts (00:03:45):

I was the CUE ’22 Outstanding Educator. Yes. And I’ve won a few other things as well.

Eric Cross (00:03:53):

The gaming backpack.

Jennifer Roberts (00:03:54):

I’ve won a gaming backpack recently! Yes. I once won an iPad in a Twitter chat.

Eric Cross (00:03:58):

What?

Donnie Piercey (00:03:58):

What’s a gaming backpack? Hold on. We need to talk about that.

Jennifer Roberts (00:04:01):

We will talk about that. <laugh> And then, I was once a finalist for county Teacher of the Year. That’s as close as I got to Donnie. Donnie was the Kentucky Teacher of the Year. He got to go to the White House and stuff. That was exciting.

Donnie Piercey (00:04:13):

<laugh> I mean, to be fair, there’s only three million people in Kentucky, and about what, 50 million people that live in California? <Laugh> So odds are definitely stacked in my favor, I think.

Jennifer Roberts (00:04:23):

So you’re saying we’re even there? Is that, is that what you’re going for?

Donnie Piercey (00:04:25):

Yeah, evens out. Evens out.

Eric Cross (00:04:27):

So I’ve been looking forward to talking to you both for a while now, and talking about artificial intelligence. It’s like the big thing. And both of you, at different ends of the spectrum and in my life, have contributed to this. Donnie, you’ve been sharing so much great information online about how you’re using AI in elementary. Jen, you are the reason I got into education technology years ago, right when I was becoming a teacher. And so being able to talk with you both about it excites me a lot. So first off, for the listeners who may not have any experience with it — and there’s still a lot of people out there who have not been exposed to it, haven’t got their feet wet with it yet — I’m hoping we could start off maybe with an explanation of … we could do AI, ChatGPT, I know that’s the big one. But simply explaining what it is, just for the new person. And whoever wants to start off can tell us about it. Or maybe we’ll start … we’ll, let’s actually, let’s do this: Let’s continue going like K–12? So Donnie, maybe you could … what’s your pitch to the new person of, “Hey, this is what it is”?

Donnie Piercey (00:05:31):

All right. So, AI, artificial intelligence, probably the way that most people are exposed to it, at least since November when it launched, is through ChatGPT. Where if you Google it, you know it’s made by a company called OpenAI. The best way to describe what it is … when you go there for the first time, make an account, it’s free. You have like a little search window, looks like a Google search bar. And instead of searching for information, you can ask it to create stuff for you. So for example, like on Google search, you might type in a question like, “Who was the 19th president of the United States?” Where on ChatGPT, instead of just searching for information, it creates stuff for you. So you could say, you could ask it to, “Hey, write a poem about the 19th president of the United States.” Or, “Write a short little essay comparing, I don’t know, Frederick Douglass to Martin Luther King Jr.” And it would do that for you. You know, that’s most people’s first exposure to AI, at least in these past few months. Instead of … you know, it’s artificial intelligence, but it’s not just chatbots. There’s lots of other AI that exist out there.

Jennifer Roberts (00:06:47):

And I think that’s the thing: that people don’t realize how much AI is already in their lives.

Donnie Piercey (00:06:51):

For sure. Yeah.

Jennifer Roberts (00:06:52):

You know, they just haven’t seen … the term that I see being used a lot now is “generative AI.” AI that can produce something. It can produce writing, it can produce art, it can produce a script, it can produce a character. But the AI that has been helping you pick what to watch next on Netflix and the AI that’s helping Google help you get where you wanna go on Google Maps faster, those are forms of artificial intelligence as well.

Donnie Piercey (00:07:21):

Yeah. I mean, even those, when you get that that message in Gmail, and instead of having to type out that response that says, “Yeah, that sounds great,” you can just click the little button that says, “Yeah, that sounds great.” I mean, that’s been in Gmail for years, but that’s artificial intelligence too.

Eric Cross (00:07:39):

Absolutely. So why is it important, do you think, for educators to, to be familiar with it? Like, why are we all so excited about it?

Jennifer Roberts (00:07:47):

So, educators need to know what kids are into, and kids are obviously into ChatGPT. And anyone who’s an educator right now has probably already had something cross their desk — or more likely their computer screen — that was written by AI and passed off as a student’s own work. And that is, of course, the great fear among teachers everywhere, that this is what kids are just gonna do these days and they won’t be able to catch it and children won’t be doing their own work and this and this. But I think the big reason teachers need to know what’s going on is because teachers need to be futurists. Our clientele will live in the future. We teach kids, kids will become adults, adults will live in the world. And so if we’re not thinking about and trying to predict on some level what’s gonna happen 5, 10, 15 years from now … we might be wrong, but what if we’re right?

Jennifer Roberts (00:08:38):

And if we’re not at least trying to think about what is their future world gonna look like, then we’re not serving our students well. I did a whole night talk on that. So I think ChatGPT is part of that. I teach seniors. I had this moment of realization I felt a few months ago. I’m like, “This is gonna be the world they graduate into. They need to know what this is before they leave me.” If I don’t teach them how to use this well, and not the way they’re using it — which is to copy and paste the teacher’s assignment and drop it into ChatGPT and take whatever it spits out and turning that in without even looking at it — if I don’t teach ’em how to use it critically, if I don’t teach them how to write effective prompts, if I don’t teach them how to use the AI as a tool, as a collaborator, then they’re gonna graduate into a world where they lose out to people who do know how to do that. And I think the advantage goes to kids who have access and knowledge of what’s in front of them and what’s available, and can use all of the tools at their disposal. Because when you’re writing in school and you write with a collaborator, that could be considered cheating. But when you do that out in the adult world, that’s considered doing a good job. <Laugh> Being a team player. <Laugh> You know, adults don’t work alone for the most part. And adults are expected to churn out beautiful, perfect content no matter how they got there. So if I’m not teaching my kids how to use this, they’re not being ready. They’re not gonna be ready to be the adults that I want them to be.

Donnie Piercey (00:10:07):

A hundred percent agree. And I also believe … as you know, I teach elementary school. I also don’t think anybody is saying that on the first day of kindergarten, you hand a kid a Chromebook and load up an AI chatbot or ChatGPT and say, Hey, this thing’s gonna do all your work for you for the next 12 years; just coast through life. You don’t have to think creatively. You don’t have to learn how to develop a paragraph or learn how to write a speech or develop an idea. Like, I don’t think anybody’s saying that, because as an elementary school teacher, there’s many days when I’m like, “Y’all, we’re just putting the Chromebooks away today and we’re just gonna go old-school. We’re just gonna maybe just jot down five quick ideas and stand up and present those ideas to the class.”

Donnie Piercey (00:10:54):

Because while AI definitely will, like you were saying, Jen, play a significant role in the lives of our students who are, not just graduating, but the 10- and 11-year-olds in my classroom this year. A significant role in their lives. It’s also really important to recognize that we’re not saying that this means that “Hey, kids don’t have to work anymore.” They still have to put forth that effort. There’s still — one of the ways that you become a good writer is by trial and error. And sometimes that trial and error comes through talking to a teacher or talking like you were saying to a peer or collaborating with a peer and saying to them, “Well, this sentence here, this paragraph here, really doesn’t make sense.” And I do believe one of the ways — especially as AI starts to become more fine-tuned and starts to be embedded more and more in tools like Google Docs and Microsoft Word — is it’s almost going to be a tutor to students.

Donnie Piercey (00:11:56):

Mm-hmm. <affirmative> Where I could very easily see in a few years, or maybe a few months, who knows what Google or any of these other big companies has rolling out, where a student could highlight a paragraph that they wrote simply, and then say, “Hey, proofread this for me,” or “Check for coherence.” Or even just ask a simple question: “Does this paragraph make sense?” Because you can already do that. You can copy a paragraph over into a chatbot and say, “Hey, does this make sense?” You know, “Rate my idea from one to 10,” and it’ll do that for ’em.

Jennifer Roberts (00:12:26):

We did that last week <laugh>.

Donnie Piercey (00:12:28):

Yeah. Right. I mean, that’s the thing. That technology exists now. It’s just not totally embedded yet. But based on what I’ve read and what I’ve seen, that’s gonna happen sooner rather than later. And it’s really, really important that we teach our students that, “No, you’re not just gonna use this, this tool to cheat, but you can use this tool to help you become a more creative student.”

Jennifer Roberts (00:12:50):

This is the use case in my classroom. Can I talk about that? You ready for that?

Eric Cross (00:12:53):

Please.

Jennifer Roberts (00:12:54):

OK.

Eric Cross (00:12:54):

Please.

Jennifer Roberts (00:12:55):

So my ninth graders are writing a comparative analysis essay, where I took them to the student art gallery and I made them pick two pieces of completely unknown student art and take notes on it, so they could go back and write this essay. And as soon as we got back to class, I said, can ChatGPT write this for you? And they all kind of froze ’cause I didn’t tell them what ChatGPT was. And they weren’t sure if they were allowed to know or not. And finally one of them kind of bravely raised his hand and said, “No.” And I said, “Why not?” And he said, “Well, the AI hasn’t seen the art. How can it write an essay about art when the art is completely original that we just went and looked at?” I said, “It’s almost like I planned it that way, isn’t it?” And they laughed nervously. And then I said, “Does that mean it can’t help us with this assignment?” And they said, “Well, no — of course it can’t help us, because it has not seen the art.” And I said, “Well. …” And I open ChatGPT, and I typed in what they were trying to do: “I need to write a comparative analysis essay comparing two pieces of student art on these reasons. And I need to choose which one did it better, basically. Can you help me with an outline?” and ChatGPT produced a lovely outline. And I looked at that with my students and we looked at it together and I said, “This is what it gave us. Would this be helpful to you?” And they’re like, “Yeah, that would be helpful to us.” So we — to be clear here, I was the only one using ChatGPT in the room. They were not actually using it. We were using it together. I copied and pasted the outline that it gave us and put it in their learning management system where they could access it so they could use the outline that the robot provided, and then they could use that to make their own writing better. So then I let them write for a little while, and, after they’d written for a little while, I said, “Does anybody wanna let me share your first paragraph with ChatGPT and see what it thinks of how you’re doing?” And a brave student raised his hand and we took his paragraph and we put it in ChatGPT, and it spit back advice. We said, “This is what I have so far for my first paragraph. Do you have any advice for me?” And we gave it the writing, and the first piece of advice it gave back was very generic, you know, “Add a hook,” you know, like kind of thing. But after that, it started to get more specific about things he was actually doing in his writing. And it started to give him some feedback. And we looked at that together as a class. And I said, “Does any of that feedback help you?” And he said, “Oh yeah, absolutely. I’m gonna go add some revisions to my paragraph.” And other students did too. They looked at the feedback he got and used that to improve their writing. And so everybody went and revised. And I said, “Look, if you take what the robot gives you and you copy and paste it, and you turn it in as your own work, it’s gonna get flagged for plagiarism. And that’s not gonna go well. But if it gives you writing advice the same way I would give you writing advice, and you decide that advice is good, and you take that advice and you incorporate it into your own writing yourself, then the robot’s making you better, but you’re still the one doing your own writing.” And the writing they turned in from that assignment was, was better. It wasn’t written by ChatGPT; it was still about the student art that they found in the gallery. But I showed them a path. Like, it can help you with an outline, it can help you with feedback. Right? These are fair ways to use it that’s gonna make you better. And they really liked that. They really liked — no one had shown them that before. The idea that you don’t just take the teacher’s prompt and give it to it … like, these are new uses to students and worked well.

Eric Cross (00:16:17):

So right now, you both just laid out these ways that you’re using it. And I do this with people that I’m trying to introduce to ChatGPT or AI. ‘Cause I get excited. Anyone could write a 500-word persuasive essay on the use of color in The Great Gatsby or The Outsiders, and they can get something back within seconds. But for a lot of educators, it might feel like the sky is falling.

Donnie Piercey (00:16:43):

Oh, understandably! Understandably. I mean, that totally makes sense.

Eric Cross (00:16:49):

What would you say to them? Donnie, go ahead.

Donnie Piercey (00:16:51):

Yeah. Well, I feel like every teacher kind of goes through the same experience when they see like a generative chatbot. I mean, all these major companies are gonna start incorporating AI, the generative AI piece. And a lot of times, when they see it for the first time, two things. First they’ll say “Oh, but I’ll know that that’s not my students’ writing.” Which, frankly, I think is a good thing, because that tells me that the teachers know their students’ writing. They’ve seen them write in person. They’ve conferenced with them one-on-one. And if a student were to turn something in to me, who I know might be a struggling writer, maybe it’s not their strength, and all of a sudden they’re turning in this10-page dissertation-worthy thesis written at a PhD level, I’m like, “All right, man, you’re nine. Can we talk about where this came from?” <laugh> But I also don’t think that at like the heart, I don’t feel like kids want to cheat. I really don’t. I feel like sometimes like kids are in a situation where they’re like, “OK, I’ve got nothing left. I gotta get this assignment done.” And when those kind of things happen, that’s when we as teachers, we have those one-on-one conversations. Even when I showed my students ChatGPT and even some of the AI image-generating stuff for the first time, and I talked to them about, “What do y’all think about this?” Because, you know, they’re under 13. In my district, ChatGPT is blocked for students. Staff, we have access to it. And that’s just because one, it’s so new, and at the same time, we need to figure out, “What’s the best way they can go about using this tool?” But when we were talking about it as a class, you know, I didn’t want to ignore the elephant in the room. So I asked them, I said, “Hey, do you feel like this is something that you all would use to. …” I mean, I used the word. I said “cheat.” And to be honest, the majority of the students in my class, they were taken aback. They’re like, “What? You think we just would cheat all the time?” Right? <Laugh> And I’m like, “Oh, well good. I’m glad to know that integrity is still alive and well.” But yeah, that’s definitely my thoughts on it, as far as not only the student integrity piece — I think that that’s the big thing that you need to just bring up with your students. Because again, I like to think that I’ve seen my students write enough that if they were going to turn something in that wasn’t their voice, or it didn’t sound like them, like I could have that conversation. And don’t be surprised, too, if in the next … I don’t know, one month to a year, there’s lots of AI detectors that exist. A lot of them are these like third-party things. You can go ahead, but I would not be surprised if in the next year or so, like you start to see those AI detectors be built into Google Docs, into Microsoft Word, into even Canva. And honestly, it’s almost like a fail-safe button for teachers, that we could say “All right, this is telling me that this is 99% probably written by AI.” So you can have that conversation with a student that way.

Jennifer Roberts (00:20:03):

I mean, if you’re worried about it, Formative, right now, will even tell you if something is copy-and-pasted into the boxes that they give you for students to write in. I find that kids who cheat are desperate, you know. Especially at the high school level. They’re panic mode. And, and usually their panic comes from, “I have no idea how to even start this assignment.” And so part of what I wanna use ChatGPT for is to lower that barrier for them. Like, you’ve got an assignment, you don’t know where to start. Tell the robot, tell ChatGPT, about the assignment and ask it for a list of steps. You know, ask it for an outline. Ask it for a time management plan. I see so much tremendous potential for this to help many of my students with IEPs who have executive functioning issues.

Donnie Piercey (00:20:49):

Oh, a hundred percent, right?

Jennifer Roberts (00:20:51):

Yes, a hundred percent. This can be their personal assistant who, you know, instead of me sitting with them one-on-one and saying, you know, “This is the task you need to do, let’s break it down into these six discrete chunks,” the artificial intelligence can do that for them. And it can do that for teachers too. <laugh>

Donnie Piercey (00:21:09):

Jen, I was just thinking about, how long until we see like the phrase artificial intelligence written onto a student’s IEP? I could see that happening very, very soon.

Jennifer Roberts (00:21:20):

Right? They should be able to use that. And then, also, of course, all of its amazing beneficials for teachers. I had to completely rewrite a unit of my curriculum. I knew what I wanted to do. I had some ideas of things I wanted to put in there. And I resorted to, I went to EducationCopilot.com and typed in my stuff that I had: You know, what standards I wanted to cover, what outcomes I was hoping for mm-hmm. <affirmative>. And it generated an eight-week unit for me. And I actually told it then to go back and do it as a 12-week unit so that I’d have more stuff in there to go and cherry-pick to decide what I really wanted to do. But it gave me ideas. It gave me places to start. It saved me an hour of just brainstorming. And I don’t think that was cheating. I still got to go in and decide which ideas were valid. And I still got to … you know, I mean, I’m a teacher. Can I get accused of cheating? I don’t think that’s a thing. It’s—

Eric Cross (00:22:18):

That’s collaborating! It’s collaborating!

Donnie Piercey (00:22:20):

Collaborating! It’s a feature! It’s a feature.

Jennifer Roberts (00:22:22):

It’s Tony Stark talking to Jarvis. You know, they’re figuring it out together.

Donnie Piercey (00:22:26):

Oh, when you use the AI, Jennifer, do you call yours Jarvis? In my class we call him Jeeves. ‘Cause remember Ask Jeeves?

Jennifer Roberts (00:22:33):

I think Eric calls it Jarvis.

Eric Cross (00:22:35):

Yeah. Jarvis is gonna be the AI’s name when, when I can get that fully functioning. There are some things that you had said, I just wanna circle back on. Donnie, Jen — so what I heard was like, best intentions. The part you said about integrity and students wanting to cheat … even the mindset that we go in assuming our students, what they would want to do and assuming best intentions, really kind of frames how you look at this kind of technology. And then Jen, you kind of brought up why students cheat, and realizing that either they don’t feel equipped, or maybe it’s time management, or something else. But most people — and I believe this as an educator — most students want to learn, and they want to be able to perform and achieve. And when they cheat, it’s because they didn’t feel like they could, for whatever reason. Whether it’s it’s outside factors, whether it’s something internal, motivation, whatever it is.

Jennifer Roberts (00:23:24):

Or they were very disconnected and just didn’t care.

Eric Cross (00:23:27):

Sure.

Jennifer Roberts (00:23:27):

This is just busy work the teacher’s giving me, so I’m gonna give it very little of my time and energy. But I think, yeah, it can be that. But if the kid cares about it, if they wanna learn, they wanna learn, you know?

Eric Cross (00:23:40):

Right.

Jennifer Roberts (00:23:40):

This is the day of the internet. Any kid can learn anything they really want to learn. And we see that all the time in our classes. The kid who has zero interest in what I’m teaching in English, but he is an expert coder, and that’s what he wants to spend his time learning. He’s like, “Can I read this C++ book as my independent reading book?” And I’m like, “You know, actually, you can. Go ahead.” <Laugh>

Eric Cross (00:24:01):

Yeah. And for both of you, saying that this makes content more accessible … and I think Donnie, or Jen, you said something about IEPs. I actually put in having it write an IEP to see what would happen. I gave it a prompt for a student’s ability level and I asked it to create a plan. And then I asked it to create a rationale. And it did! And it was good! I went through and vetted it. And right now … you know, a lot of it is funny, ’cause the conversation I’m having with different teachers is kind of like the Wikipedia one. Remember when Wikipedia first got out and everyone was like trying to discourage everybody from using it, because, well, it could be changed by anybody? And now everyone’s like, “Oh, check Wikipedia, and then steal the sources, ’cause they’re already done for you.” Like, the mindset has shifted since then. And I was talking to someone and they said, “Well. …” And I said, “We can use AI, it could be a tutor, these other things. …” And they said, “Yeah, but what happens?” And then insert apocalyptic scenario. Like, what happens if you don’t have access to wifi? And it reminded me of, for some reason, cooking classes. So in the 1700s you probably had to be able to farm to be able to generate your food. Right? Like, you had to get it from somewhere. But if you take a culinary class now, you just go to the grocery store. And someone might say, “Well, but you should know how to farm, ’cause what if there was this worldwide apocalypse and nobody could go to the grocery stores?” <Laugh> And you’re like, “Well, balance of probability though.” You know, it’s like we’ve been really been living in these iterations of life, and I think this next step for some folks … like, we don’t even realize, even like something like bank statements, right? So many folks are paperless. And there’s always a what-if scenario. What if you need it and the internet goes down. But we get so used to to to technology advancing and making our lives different. This kind of seems like that next iteration. And I wanna ask you this question: Are we looking at like the next calculator? The next internet, with this tech? Or do you think it’s too early to say?

Donnie Piercey (00:26:01):

Well, I’ve seen a lot of people compare ChatGPT to a calculator. I’ve seen that pop up on social media. There’s, “Oh well, no, this is like when the calculator was invented. Everyone was up in arms about how ‘that’s not what math students should do.’ Math should be pencil and paper, math should be this.’” However, you can give a kid a calculator and you can give ’em a word problem and they can punch in all the numbers, but they could do the wrong operation or they could put the decimal point in the wrong place, ’cause the student is still the one who’s controlling what’s on the calculator. Where with AI, all you gotta do is just copy it and then paste it into the bot and it’ll spit out whatever the question asked it for. Whether it was, you know, a 500-word rationale or proof for something in geometry, or if it’s analyzing data on a chart, it’ll do all that.

Jennifer Roberts (00:27:00):

Yes. But it’s not that magical. It’s back to what Eric did with the IEP. He put in a prompt and then he knew enough to ask for a rationale and then he knew enough about IEPs to critically read the results he got and make sure they actually worked for what he needed. He had to know all that. He was an expert using it to do an expert thing. My husband’s a computer scientist; he got ChatGPT to help him write an app, and it was a new programming language to him, and he could put in the data and he could ask for things that I would’ve never thought to ask for. But because he knows the language of computer science, he knew what to ask for. And when it gave him results that were bad, he could see that, and he could say, “Yes, but do it again, but without this,” or “make this part more efficient.” He, again, knew what to ask for. So I think the generative AI is, as a partner with humans, a powerful thing. But if the human doesn’t know what they’re doing, yeah. You’re still not gonna get great results.

Donnie Piercey (00:28:03):

<laugh> And I think that’s why I’m coming at this from the elementary school perspective, right? Because in K–5 students are still learning, like, “Hey, where does the decimal point go?” They’re still learning, you know, if you’re dividing by a two-digit number, where does the first digit go, if you go in the old long-division algorithm? And so they’re still acquiring that base-level knowledge that … I don’t know, maybe this is similar to in Jurassic Park when Jeff Goldblum says, “It didn’t take any knowledge to attain,” you know, “they stood on the shoulders of geniuses,” that whole thing. Like they had to acquire the knowledge for themselves, was his whole point. And so that’s why I don’t think it’s exactly the same as the calculator. It is definitely going to change things, in a similar way that the calculator did. But to me it’s just a whole new animal. And I don’t know if it’s going to be like the next internet, Eric — if you’re gonna get little devices that have AI built into it, like a Star Wars kind of thing, like a droid or something that follows you around — all that would be kind of cool, not gonna lie. But whether it’s something that you’ll access through the internet, something that’s built into your TV, that part I don’t know. But I do know that there’s a reason why all of these apps and all these companies are investing so much — not just energy, but time and money into it. Because they’re recognizing. “OK, this really has the potential to change things.” But if used well, and used safely, to change people’s lives for the better.

Eric Cross (00:29:41):

So I definitely hear that you both agree with the statement that if AI ChatGPT was used in the classroom, it could be a force for good. And literacy development. And I wanna shift gears a bit and then come back to the AI. So with that said — and we’re gonna get into some best practices in a minute — in Science Connections right now in this season, we’re making the case for how science can do more in classrooms and in schools. And so I’m I’m curious about what both of you think about the role in science fostering a better future when it comes to AI and education. And this season we’re really talking a lot about literacy. You know, in schools, so often it’s taught in a siloed way. And Donnie, you’re doing multi-subject. Jen, you’re single-subject: English. And we’ve really been trying to make this case for how science can actually support literacy, and these skills that students are trying to develop. So we’re going a little old-school, kind of diving into your content specialty, but maybe even pre-AI, or maybe AI has a component in this. But Don, maybe we’ll start with you. How has science been a way that has been helpful for your own literacy instruction? I know you do a lot of science, because I see your Google Earth stuff and the thing you did with the solar systems back in the day. And I think —.

Donnie Piercey (00:30:54):

Oh my gosh! You remember my <laugh> … wow.

Eric Cross (00:30:58):

That was amazing!

Donnie Piercey (00:31:00):

We haven’t done that since the pandemic. But I had my students go out, and using Google Earth, we built a scale model. Each of the students partnered up and they planned out on Google Earth a scale model of the solar system. They picked an object from around their house and we talked about like, “Don’t pick something bigger than a beach ball, or else, you know, your Neptune’s gonna end up like 10 miles away.” But you know, they just picked like a small ball, like a basketball, soccer ball, something like that. Or football, for international friends. And then we calculated the size of every other planet. And then on Google Earth, using their front lawn as where the sun was, then we went and we calculated where other planets would be, and then we actually drove to those locations and like held up the objects that would represent Neptune, Jupiter, Saturn, and all that. But it was a lot of fun.

Eric Cross (00:31:59):

And is that still accessible? ‘Cause I know you have some websites that you put resources out there.

Donnie Piercey (00:32:03):

Yeah. Yeah, I can … I wanna say on my Resources page — Resources.MrPiercey.com — I’ve got a link on there to a couple of student examples that I can share. And if not, when we get off this call, I’m gonna go on and put them on there <laugh> so people can find it. I’ll even throw on there just the assignment itself. So if you wanted to copy that and do that with your students, you could.

Eric Cross (00:32:27):

Donnie, the reason why I brought that up is because I saw that you had posted that or shared it a long time ago, and I just thought it was the coolest thing that you could totally do with middle-school students or high-school students. Jen, when I became a teacher, you said, “We’re all teachers of literacy.”

Jennifer Roberts (00:32:43):

<laugh> Yeah. I think we forgot to tell them that I was one of your professors.

Eric Cross (00:32:47):

Yes. <Jennifer laughs> One of the people who’ve definitely influenced and shaped my teaching. And that statement has never left my mind: that we’re all teachers of literacy. And I want to ask you, at the high-school level, how can science educators, or how can science — how have you seen it, or how does it, support literacy, when it’s done right?

Jennifer Roberts (00:33:09):

Like I said, I think we’re all teachers of literacy, but I think literacy is bigger than just reading and writing. I don’t think someone is literate if they can’t talk somewhat knowledgeably about what’s happening with climate change. I don’t think someone’s literate if they don’t know what’s going on in the world. And I think so much of what’s going on in the world has to do with science. We’re doing that all the time. If I could teach English just by giving kids articles about science, things to read, that would make my day. Right? We would never read another piece of fiction again. It would all be, you know, what’s happening to the ice sheet in Greenland. My students thrive on reading non-fiction. And then whenever that non-fiction touches on science is even more interesting. And whenever I can get them writing about data, particularly their own data that they collected, I think that’s building those science literacy skills as well. So I think science and English blend together very, very well. I think the literacy aspects of that are fantastic. There are more subject-specific vocabulary words, advanced vocabulary words, in science than any other discipline. And I don’t see why those shouldn’t come up in English as well. You know, my seniors will do a unit at the end of the year on the new space race. Unless I replace it with a unit about generative AI, which I’m seriously considering doing, ’cause I think they really need to learn about bias in AI algorithms and things like that. And I would like to have them read a whole bunch about that stuff. And I wanna give them the open letter that all those CEOs signed that said that AI research should slow down, and make them part of that live conversation about what’s happening in that field. So science comes into that. You know, when we read Into the Wild, we start talking about a whole bunch of scientific concepts. And when it rains in Southern California, we pull up weather maps and look at radar and talk about that and how that works.

Donnie Piercey (00:34:59):

That’s like once every 10 years, Jen? <Laugh>

Jennifer Roberts (00:35:02):

Well, actually, this year it rained a lot. It rained a lot in San Diego. Which is actually very high-interest for them. ‘Cause they wanna know, is it gonna be raining at lunchtime?

Eric Cross (00:35:12):

Jen, you said something … you have your students writing about data?

Jennifer Roberts (00:35:16):

Oh yeah.

Eric Cross (00:35:17):

Can you tell me more about that?

Jennifer Roberts (00:35:19):

So, this is something we’ve done with the ninth grade team for a long time now, is writing about their own data. So it started with a unit about stereotypes and stereotype threat. And they would collect data individually and then they would enter that data into a Google form and then we would give them the spreadsheet of the aggregate data from the whole ninth grade. And then we morphed that unit into one about academic honesty, and they filled out a survey at the beginning of the unit about their feelings about academic honesty and about experiences with academic honesty and cheating and homework and things like that. And then we would do the unit. We’d do all the readings in the unit. And they’d have these “aha” moments about things that were happening at other schools. And then at the end of the unit, we would give them back their own aggregate data and ask them to write about whether or not academic honesty was an issue at our school. And then to support that answer with evidence from their own dataset. So they had that spreadsheet to comb through and figure out, you know, where am I gonna stand on this? We give them the multiple-choice questions we gave them as the graphs, in Google Slides, so that they could write about them and talk about them, too. So yeah, getting kids to write about data. And the the sentence frames we gave them were sentence frames out of, They Say, I Say, from the chapter on writing about science. And <laugh> as they write this stuff, they’re like, “I feel so smart writing this way.” And I’m like, “I know, ’cause you’re writing about big important topics!” Right? And writing about their own data come to think of it is another great way to make an assignment both very personal to them, but also make it ChatGPT-proof, you know, if you’re looking for something that kids can’t just hand to the robot, the robot doesn’t have that data set.

Eric Cross (00:37:08):

Absolutely. And Donnie, at the elementary level, do you, do you make connections between science and literacy? In your class? You talked about with math, definitely with the solar system, but now, I’m curious, what are your newer projects? What have you been working on lately?

Jennifer Roberts (00:37:23):

What’s up now, Donnie?

Eric Cross (00:37:24):

Yeah, what are you doing?

Donnie Piercey (00:37:25):

Oh, man. Well, let me think. I’m just trying to think of some fun projects that we’ve done this year. Science that we can tie in Literacy and also some student creation. Just recently we had a … so I’ve wanted to expose my students to famous scientists that weren’t just white dudes from Europe. So for this year, what I did — and I actually used AI for this — I went into ChatGPT and I asked for 64 famous scientists and it listed them all off. And then I asked it, like, how many of these were white? And I think it said like 61 of them. You know, it had like Neil DeGrasse Tyson, and a couple of other … I didn’t know who they were. So I’m like, “All right, so we need to make this more diverse and make this more equitable.” ‘Cause you know, with the student population in my classroom, try to find equal representation to make sure they can see themselves in some of these scientists. So, eventually got it narrowed down to where I had about 64 scientists. Half are women, half are men from all continents except Antarctica. I assigned these scientists to my students. Some got two; some got three. And their assignment was to go and one, do some individual research on this person, find out what they were famous for, what they were most well-known for, turn it actually into a persuasive piece, where I said, “Hey, you’re gonna have one slide.” And I’ll tell you why I gave him one slide in a minute. On that one slide, you’ve gotta convince the person who sees it that this scientist is the most important scientist since the dawn of creation. I said, “You could use images, text — I don’t care if they were famous for something that you didn’t even understand what it was. It’s a persuasive piece. You’re 10. Go all out. Add gifs, do that whole thing.

Eric Cross (00:39:21):

This is awesome.

Jennifer Roberts (00:39:21):

I wanna do this project.

Donnie Piercey (00:39:23):

And if you picked up on the number 64, and I did this in March, so what we did was throughout the weeks of March Madness of the women’s and men’s NCAA tournament, whenever a game was going on, we had another round of voting. I just paired ’em up. I was gonna like seed them, like 1 to 64 — that’s just way too much work for me <laugh>. So I just kind of did random kind of thing. But all the students had to do — they just saw the slides side-by-side, and the only question they had was, “Based on what you see here, who is the most important scientist? This person or this person?” And it eventually came down to Carl Sagan going up against Marie Curie.

Eric Cross (00:40:04):

OK, that’s a good matchup.

Donnie Piercey (00:40:06):

Yeah, well, the Marie Curie slide, they just liked the radium piece. So they added like some green glowing gifs. And I said, “Guys, it doesn’t always grow glow green.” But whatever. Anyway, eventually Carl Sagan, in case you wanted to know, according to the 10-year-olds in my classroom, is the most important scientist in the history of the world. So I don’t know if I agree with that per se — I think maybe Newton or somebody else might have had something else to say about it — but fun assignment. It was a unique way to expose my students to a bunch of ideas. I remember the student that I assigned Newton, the only thing that that she knew about Isaac Newton was “Didn’t he get hit in the head with an apple?” And I said, “Well, not exactly, I think you might have read or maybe seen too many like old-school cartoons or whatever.” But she ended up doing some research. She’s like, “Oh, I’ve heard of that before! That equal and opposite reaction thing.” Didn’t know what it meant. I had another student that just got really … you know, if you’ve ever been on one of those YouTube kicks where it’s just, you go like nine levels deep onto like, “What does this theorem mean?” Student sits in back of my classroom, I walked by one day and he’s just watching something on like the fifth dimension and what it might be. And I said, “Oh, your scientist got you started on that.” So definitely was a lot of fun. Unique way to combine reading, writing, but also expose my students to some ideas. And we’re definitely gonna do it again. I’ve actually done this assignment before. I picked 64 random elements on the periodic table. But their only slide that they have to make is “What’s your element? What is it used for? And then, why is this the most important element since the dawn of creation?” <Laugh> And, you know, there’s always that student that gets hydrogen. They’re just like “Sweet!” Right? They get excited about that one. <laugh>

Eric Cross (00:41:59):

Explosions.

Donnie Piercey (00:42:00):

Yeah. But then, for that kid who likes a challenge, or that student with the “gifted” label, you give them, like, einsteinium or palladium. Some of the more challenging ones. And they go all out with this. I didn’t use AI for that one, but it was kind of fun, and I figured it’d be neat to share an idea that another teacher could try.

Eric Cross (00:42:20):

Well you probably have at least two teachers right now that are gonna go and try that. And we’re both looking at you. So.

Donnie Piercey (00:42:24):

Go for it.

Eric Cross (00:42:25):

Thanks for that idea. I’m imagining my students coming in with jerseys with “neon.”

Donnie Piercey (00:42:29):

Oh yeah. <laugh>

Eric Cross (00:42:30):

“Neon” on it. Just all ’80s out.

Donnie Piercey (00:42:33):

The game behind it, too, is you tell kids — again, this is just so the 10-year-olds in my class don’t get their feelings hurt — but I say, “Hey, and if your element gets knocked out, you just have to start cheering for whoever beats you in the tournament.” So by the end, you kind of got half the class cheering for one and half the class cheering for whatever.

Jennifer Roberts (00:42:53):

So the only thing I got outta that whole story that I’ve got for you is, as a child I met Carl Sagan. That’s all I got.

Donnie Piercey (00:43:02):

For real?

Jennifer Roberts (00:43:02):

For real.

Donnie Piercey (00:43:03):

So did he talk with that cadence and tone?

Jennifer Roberts (00:43:06):

Yes.

Donnie Piercey (00:43:06):

Like in real life? Wow.

Jennifer Roberts (00:43:07):

Yes. My father was one of the cinematographers on the original Cosmos. And I got to go to the set a few times.

Donnie Piercey (00:43:14):

That’s incredible!

Jennifer Roberts (00:43:15):

I did not appreciate what I was seeing as a child. But as an adult, I’m like, “That was cool. I was there.”

Donnie Piercey (00:43:20):

“You can see my shadow off in the distance.”

Jennifer Roberts (00:43:23):

I mean, maybe that’s part of why I’ve always had an interest in science. I’ve always had fantastic science teachers. Every science teacher I ever had was amazing.

Donnie Piercey (00:43:31):

I credit mine to Mr. Wizard. I don’t know if you ever watched Mr. Wizard and Beakman’s World?

Eric Cross (00:43:35):

I remember Mr. Wizard. Yep. Yep. I definitely remember Mr. Wizard, Beakman’s World, all those. That was on Nickelodeon back in the day. I had to get up early to watch that one. But there’s a YouTube video—

Donnie Piercey (00:43:44):

Six am!

Eric Cross (00:43:44):

<laugh> It was! It was super-early! But there was one, Don, I don’t know if you’ve seen this on YouTube, but it said “Mr. Wizard Is Mean,” and it’s just clips of when he’s—

Donnie Piercey (00:43:56):

Yelling at kids!

Eric Cross (00:43:56):

Chastising. Or being really direct. It’s just one after another.

Donnie Piercey (00:44:02):

He always asked ’em a question and if the kid, you know, didn’t answer it right, he’d be like, “Well, you’re not right, but you’re wrong.” You know, whatever. <Laugh>

Eric Cross (00:44:14):

I have to make sure I’m not subconsciously saying Mr. Wizard quotes when I’m talking in the classroom, when things are happening. But yeah, that video’s hilarious. So I just want to bring us back to AI, and ask this question: Do you think science has a special role to play when it comes to teaching kids about AI responsibly? Does science have a special role in that?

Jennifer Roberts (00:44:36):

I think the responsible piece of AI I wanna teach my students about is the part about the bias in the algorithms and the bias in the training. And I want them to understand how it works, well enough to make informed decisions about how it impacts their lives.

Donnie Piercey (00:44:56):

Hmm.

Jennifer Roberts (00:44:57):

Because I do have concerns about a tool that was trained on the internet. And the answers it gives you is the average of the internet. And do we trust the internet? And the answer from kids is always, “Well sorta, no.” <Laugh> So I want them to understand the social science behind that.

Donnie Piercey (00:45:18):

Yeah. And just along that same point, having the students recognize that just because, you know, you copy-and-paste a question in, the answer it spits out might not always be correct. So, teaching them that just like you would with a source that you find about a topic that you’re researching, you’ve gotta fact-check.

Jennifer Roberts (00:45:44):

It’s just like being a good scientist. A good scientist wouldn’t always accept a single result or the first result. You know, you would look at multiple angles. You would try things different ways. Last week I took the article my seniors were reading about victim compensation after 9-11, and in front of them, I gave ChatGPT, I said, “Are you familiar with this article by Amanda Ripley? And ChatGPT came back and said, “Oh yes, this was written in the Atlantic in 2020 and it’s about these things, blah, blah blah.” And my students looked at that and went, “That’s not the article we read.” And I said, “I know. It got it wrong. That’s amazing!” Yeah. And I was so happy that it got it wrong! ‘Cause I wanted them to see that happen.

Donnie Piercey (00:46:21):

And I guess one of the big science questions there, or one of the big science components there, is that idea of inquiry. Right? It’s almost like you have to teach students how to ask those deep questions about what AI spits out.

Eric Cross (00:46:35):

All of those tips are great. And it leads me to this last question I want to ask. New teachers that are out there — it actually doesn’t even matter; new teachers, experienced teachers, all of us are kind of new at different levels of this race. We’re all kind of starting it together. I mean, it hit mainstream. We’re all getting exposed to it. You all really dive into it. When tech comes out, I know you two really like, “OK, how can we use this to transform education and do awesome things for kids?”

Donnie Piercey (00:47:04):

Usually, when new tech comes out, “How can this make my life easier?” is usually the question. Yeah.

Jennifer Roberts (00:47:09):

“How can I save myself time with this?” Yes.

Donnie Piercey (00:47:11):

“How can this result in me watching more TV and you know, less grading,” sometimes.

Eric Cross (00:47:16):

And I start there like you, but then I end up more time that I fill with another project. And I need to learn how to stop doing that. I’m like, “Oh! I got more free time! … to go take on this other task.”

Jennifer Roberts (00:47:28):

Oh, all of my tech adoption is driven by “how can I work less?”

Eric Cross (00:47:32):

So you’re you’re talking to a new teacher, teacher’s getting exposed to this, they’re starting the school year or they’re just getting their feet wet with it. What advice would you give them about AI, incorporated into content or even just best practices? Where you’re at right now in your own journey, and someone’s asking you about it —what would you share with ’em? And Jen, I want to start with you.

Jennifer Roberts (00:47:53):

So, the first thing I did is I was in the middle of grading, you know, 62 essays from my seniors about Into the Wild, when ChatGPT became a thing last November. And I wanted to see what would happen. So the first thing I did was take the prompt that I had given my students and gave it to ChatGPT, ’cause I had just graded a whole bunch of those essays and my brain was very attuned to what my rubric was doing and what I was expecting as the outcome. So I could take what ChatGPT gave me as that quote unquote “essay” and evaluate it critically. And I was ready to do that. So my first advice is take something you’re already asking students to do and ask ChatGPT to do the same thing. So that as you look at the student results, you can compare that to what ChatGPTgives you. If what you’re finding is that ChatGPT can generate something that would earn a decent grade from you, you might need to change that assignment. And it doesn’t need to be a big change, but it might need a tweak or something, so that it, it does rely on the student voice, the students to do something more personal. I’m finding very helpful in my classroom is having my kids do projects where they are recording themselves on — I like Flip. So they’re writing a scene together and they’re having to record the scene together. And I’m emphasizing more of the speaking roles than the writing roles necessarily. So yes, first, take something you’re already doing, paste in to ChatGPT, see what the results are, see how that fits with what your students are doing, and then do that for every assignment you give and just sort of see what comes out of that, and see which assignments are failing and which assignments are working. ‘Cause that’s gonna give you a sense, when you do see one of those results from your students, you’ll be able to recognize it. But it’ll also help you tweak your assignments and decide, “How can I make this a little more original or a little bit more authentic for my students?” And if the robot, if the AI, can’t generate a response, what could the AI do that would be helpful to your students? Would be my next question. So can you use the AI to help them generate an outline? Can you use the AI to help them generate a list of steps to help them get started? And when you’re comfortable enough doing that by yourself, then don’t be afraid to open it in front of your class. If it’s not blocked at your school site, which I hope it’s not. Because I think the advantage goes to kids who have access to this in the long run, or at least see what it is and know what it is. Right? Because if a kid graduates from school without knowing that AI exists, they’re not gonna be prepared for what they face out in the world. So give them a chance to see you using it. Model effectively using it. I have a blog post about that. I just wrote it. LitAndTech.com. You can check that out. “Introducing 9th graders to ChatGPT.” How it went, right? There’s a chart there you can have. It’s my very first draft of this, but it seems to be very popular. So, you know, show students how it can be used as their mentor. If I can’t come read your paragraph because I have 36 kids in my classroom and I cannot stop and read everybody’s first paragraph, can you, if you want to, give your first paragraph to ChatGPT and ask for advice? And will that advice be helpful to you? So showing students how it can be used responsibly is, I think, something every teacher should be doing right now. And don’t hold back just because you’re afraid you’re gonna be teaching them what this is. They know what this is. Right?

Donnie Piercey (00:51:13):

They know what it is.

Jennifer Roberts (00:51:13):

Especially if you teach high school. They know what it is. I’ve had parents thank me for showing them how to use it responsibly. You know, this can actually be a really useful tool, but if you’re trying to make it do your work for you, it will probably fail you. If you’re trying to use it to help you do your work, it will probably be helpful. Sort of the way I’m breaking it down for them at this point. You want the great metaphor? The great metaphor is if you build a robot and send it to the top of a mountain, did you climb that mountain? No. If you build a robot and ask it to help you get to the top of the mountain, and you and the robot go together, did you climb that mountain? Yes.

Eric Cross (00:51:53):

I like that. I’m thinking through this. I’m processing that now.

Donnie Piercey (00:51:57):

Me too.

Eric Cross (00:51:59):

Yeah. I just imagine a robot holding my hand climbing Mount Everest and I’m like, “Yeah, I did it.”

Donnie Piercey (00:52:04):

If I got a robot though, like I would have to dress it like Arnold Schwarzenegger in Terminator 2. Like I would just have to.

Eric Cross (00:52:10):

Of course.

Donnie Piercey (00:52:10):

Of course.

Eric Cross (00:52:13):

Donnie, same question. Advice. Teachers getting immersed into it. Tips. What would you say?

Donnie Piercey (00:52:20):

So, I would definitely agree with everything that Jen said. Just, if anything else, to familiarize yourself with it. Almost like pretend like it’s a student in your classroom and it’s answering questions, just so that way you can see what it can do. And you’re kind of training yourself, like, “Oh, well, if I ever need examples, exemplars.” If you’re in a writing piece and you don’t wanna sit there and write out four different types of student responses — you know, advanced writer, beginning writer, whatever — great way to to do that is you just—

Jennifer Roberts (00:52:48):

Oh yeah. We did that.

Donnie Piercey (00:52:48):

—copy the prompt in and give a beautifully written piece that a fifth grader would be impressed with. Boom. It’ll do it for you. In my classroom, the way that I approach it is I kinda look at AI as almost like this butler that I don’t have to pay. That if I need it to do something for me, it’s just bookmarked. I can click it. And I mean, sometimes I just talk to it like it’s a person. And it’s almost like, in the chat window, I’m just rambling at it, what I’m trying to do. And it’s almost like I’m talking to a coworker, and I’m trying to hedge out some ideas for a lesson. Simple example: For a science lesson, if you’re trying to come up with … let’s say you’re a fifth-grade — or, sorry, I teach fifth grade. Say you’re a seventh-grade science teacher. And you’re trying to teach the students in your class about Newton’s third law of motion. You know, every action [has an ] equal and opposite reaction. Look around your room. See what you have. Maybe look around and you’re like, “All right, I got a whiteboard, microscope, I’ve got magnets, a cylinder. …” And you just copy all this stuff into ChatGPT. Say, like, “Hey, I have all of these items. Cotton balls, peanut butter, whatever.” And say, “I’m trying to teach students Newton’s third law of motion. Give me some ideas of some ways I could teach it using some of these materials.” And it’ll do it! It’ll give you like five to 10 ideas!

Jennifer Roberts (00:54:15):

And then tell it what your students are into. Like, my students are really into basketball. Can you work that into this lesson?

Donnie Piercey (00:54:21):

Yeah! They’re into the Avengers! Hey, find some way to tie Spider-Man into this. You know, that was a pun that didn’t go so well. But, you know <laugh> figure out some way that you could incorporate this and it’ll do it. And Eric, like you said, it won’t be perfect. Right? But if anything else, if you’re a starting teacher and you’re trying to brainstorm ideas — try it.

Eric Cross (00:54:44):

And Donnie, as you were saying that, I was thinking — first, I imagined Spider-Man shooting cotton balls with peanut butter all over them — and then my mind went to having students have these items, like you were saying. And then they create labs, working alongside AI. To do inquiry. To create a lab about something, and then going and performing and collecting data. OK, that’s — now I wanna go do that tomorrow!

Donnie Piercey (00:55:10):

Listen, it is so easy to do. If you have an extra computer in your classroom. … We were talking about Jarvis and Iron Man and Tony Stark earlier. Make a new chat in ChatGPT. Tell it, “I want you to pretend that you are Tony Stark. Only answer questions as if you are Tony Stark.” Or “Pretend you’re Jarvis.” Whatever. “Stay in character the whole time. I’m going to have sixth grade students come up to you and ask you questions about science or forces of nature, and only answer questions like you’re Iron Man.” And guess what? You keep that station in your classroom. Students are working on a project — you know, in elementary school, a lot of times we’ll have that, “ask three before me” — you’re supposed to ask three friends before you go and bug the teacher. Well, maybe one of those “three before me” can be that little computer station, where they go up and ask Tony Stark a question, and then it answers them as Jarvis or Iron Man. I mean, we’re really just scratching the surface with all this AI stuff. And as more and more companies and more and more creatives are gonna start to realize everything that it can do, we’re gonna start to see it more and more. And hopefully we as teachers can really figure out how to use this tool to, of course, help students, but also help them be creative and explore and learn on their own.

Eric Cross (00:56:35):

That’s amazing. And just both of you are just dropping gems right now. And I wanna wrap up by saying — and I’ve said this before on earlier podcasts I’ve done — but at this phase in my life, the people that I’m the biggest fans of are teachers. And it’s true. I don’t mean that in a cliche way. When I watch celebrities and things like that, when I watch professional sports, that doesn’t fill me the way it used to when I was a kid. At this point, as a professional, I get inspired by other educators who are just doing awesome things. And when I think about educators who are doing that, you two are on that list of people that make me better. And when I get better, I can do better things for my kids. And so, one, I want to thank you for staying in the classroom and continue to support students. They’re so lucky to have you both. The second thing I wanted to say is, Jen, I wanna start with you. Where can people — and I know we said at the beginning — but where can people find the stuff that you put out? You got blogs, your social, your book.

Jennifer Roberts (00:57:28):

I got lots of social. Twitter, I’m JenRoberts1 on Twitter. And then my blog is LitAndTech.com. And then I’m on lots of the new social too, the Mastodons, the Spoutables, the Posts — those kinds of things — as just Jen Roberts, because I got in early and I got my real name without a 1. And there was some other one I’m on recently that I’ve forgotten about. But there’s lots of ’em. They’re fun. And I’m Jen Roberts. You can find me there.

Donnie Piercey (00:57:56):

And I’m SergeantPepperD on AOL, if anyone’s interested.

Eric Cross (00:58:00):

If you wanna hit Donnie up on AIM. <Laugh>

Donnie Piercey (00:58:03):

SergeantPepperD.

Jennifer Roberts (00:58:04):

You know, speaking of rock stars and people who do amazing things, I did write a blog post about using ChatGPT in the classroom, but I hear Donnie wrote a whole book.

Eric Cross (00:58:13):

Oh yeah. So, Donnie! Donnie, that’s a great segue. Thanks Jen. Donnie, how do people find out more? And can you tell us about this book you wrote, that’s coming out in the summer?

Donnie Piercey (00:58:22):

Yeah, so the book I wrote is called 50 Strategies for Integrating AI Into the Classroom. It’s published by Teacher Created Materials. They reached out to me. They had seen some of the stuff that I was doing, not just with ChatGPT, but also some image-generating AI stuff. You know, I got featured on Good Morning America, which was kind of cool. And they saw that and they said, ‘Hey, that looks really neat.” Reached out to me and asked me to write a book. And the idea behind the book, that launches this summer, it’s just 50 ideas, 50 prompts, different things that, as a classroom teacher, that you can do. So, you know, I think there’s so many AI books that are out there now. A lot of them are big ideas, which I think are important. Definitely important discussions that need to be, have around, the ethics of AI. What’s the role that AI should play in the classroom. But I just wanted to write a book, kind of like the discussion that, that Jen and I were just having, which is like, “Can we just share a whole bunch of ideas, different things that we could try with our students?” So definitely check it out. And I appreciate you giving me a shout-out too. That was cool, Eric. Thank you.

Eric Cross (00:59:35):

Of course. Definitely. And Donnie, your Twitter is again. …

Donnie Piercey (00:59:39):

Oh, @MrPiercey, M R P I E R C E Y.

Eric Cross (00:59:44):

Follow Donnie. Follow Jen. Tons of stuff on there. Both of you, thank you so much. For your time, for talking about students and how we can take care of them, science, literacy, AI. I hope we can talk about this again. I feel like even if in just six months, we might be saying different things. In a year, the landscape might completely change. And that makes it really fun. But thank you both for being on the show.

Jennifer Roberts (01:00:04):

Thank you for having us, Eric.

Donnie Piercey (01:00:05):

Thank you so much, Eric. We appreciate it, bud.

Eric Cross (01:00:10):

Thanks so much for listening to my conversation with Jen Roberts and Donnie Piercey. Jen Roberts is a veteran English teacher at San Diego’s Point Loma High School and author of the book Power Up: Making the Shift to 1:1 Teaching and Learning. You can keep up with her at LitAndTech.com. And Donnie Piercey is a fifth-grade teacher from Lexington, Kentucky. He hosts the podcast Teachers Passing Notes. Stay up-to-date with him at Resources.MrPiercey.com. And let us know what you think of this episode in our Facebook discussion group, Science Connections: The Community. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And as always, we’d really appreciate it if you can leave us a review. It’ll help more people and AI robots find the show. You can find more information on all of Amplify’s shows on our podcast hub, Amplify.com/hub. Thanks again for listening.

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What Jennifer Roberts says about science

“If I’m not teaching my students how to use this, then they’re not going to turn into the adults we need them to be… If we’re not at least trying to think about what our future world is going to look like, then we’re not serving our students well.”

– Jennifer Roberts

High School English Teacher

Meet the guests

Jen Roberts is a Nationally Board Certified high school English teacher with 25+ years of experience teaching Social Science and English Language Arts in grades 7-12. She has had 1:1 laptops for her students since 2008 and is the co-author of Power Up: Making the Shift to 1:1 Teaching and Learning. A Google for Education Certified Innovator since 2011, Jen was named the CUE Outstanding Educator in 2022. Her interests include literacy instruction, standards based grading, and leveraging Google tools to make her teaching more efficient and effective.

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Donnie Piercey, the 2021 Kentucky Teacher of the Year, is a fifth-grade teacher in Lexington, Kentucky.  With a passion for utilizing technology to promote student inquiry, learning, and engagement, he has been teaching since 2007. In addition to being in the classroom, he runs a podcast, Teachers Passing Notes that is produced by the Peabody Award winning GZMShows, and holds several recognitions, including a National Geographic Fellowship to Antarctica in 2018. His most recent work in Artificial Intelligence has not gone unnoticed, earning him multiple appearances on Good Morning America, the Associated Press, and PBS. His upcoming book, “50 Strategies for Integrating AI in the Classroom” published by Teacher Created Materials, is written for educators looking for practical classroom approaches to using AI. All told, Donnie has been invited to keynote and present at schools in thirty-three states and on five continents.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S2-06: Making time for science in the K–5 classroom

Promotional graphic for "Science Connections" podcast, Season 2 Episode 6, featuring Lauran Woolley discussing making time for science in K–5 classrooms.

In this episode,  Eric Cross sits down with TikTok star and podcast host Lauran Woolley about her experience teaching science content within her K–5 classroom. Lauran shares how she’s learned how to make time for science, and what most K–5 teachers experience when creating their own science curriculum. Lauran also talks about her rise in popularity on TikTok, her podcast, Teachers Off Duty, and establishing strong relationships with her 5th grade students. Explore more from Science Connections by visiting our main page.

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Lauran Woolley (00:00):

I wanna make sure that they’re ready for the real world, and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test.

Eric Cross (00:11):

Welcome to Science Connections. I’m your host Eric Cross. My guest today is Lauren Woolley. Lauren is a full-time fifth grade teacher in Leetonia, Ohio, who has amassed a following of 5.5 million subscribers on TikTok and over 1 million followers on YouTube. She’s also co-host of the podcast, Teachers Off Duty. Lauren has combined her teaching vocation and her talent for entertaining to connect with her students and encourage teachers across the world using her own unique style of edutainment. My most vivid memory from our discussion was her sincerity and openness about her experiences. It quickly became obvious to me that her personal transparency was a characteristic that she has remained grounded in despite her social media success. And now, please enjoy my discussion with Lauren Woolley.

Eric Cross (00:53):

You’re currently teaching fifth grade?

Lauran Woolley (00:55):

Yes.

Eric Cross (00:55):

What is it like to teach all content areas? ‘Cause I’m a middle school science teacher.

Lauran Woolley (00:59):

I didn’t always teach all content areas. First I started in second grade, so I used to teach like primary. I taught that for about three years. And I only really got my 4-5 endorsement because it was told to me that it would make me more marketable as a teacher. So I got it <laugh>. I was like, I’m never gonna use that. And then, my second year teaching, my class had low numbers and they collapsed my second grade classroom, split up my students, and then moved me to fifth grade in January. I had to take over a fifth grade class with all content areas in the middle of a school year. And it was really hard. It was like probably one of the most challenging things I’ve ever had to do teaching. When I got my job at my current school, it was only language arts, social studies.

Lauran Woolley (01:46):

So we only have two fifth grade classes. My other teacher would teach math, science. I taught language arts, social studies, and then the timeframes weren’t matching up. Like, I didn’t have enough time in my schedule for all the things we had to do in our curriculum. And she had like a little bit too much time. We realized as a district that it would be better for our fifth grade classes to just be self-contained. And last year was the first year I taught all five subjects. And I liked the variety of teaching everything because when I taught just language arts, social studies, I just felt like I was repeating myself twice a day. <laugh>. It was kind of boring for me. So like, I like doing all of it. <laugh>.

Eric Cross (02:24):

Yeah. With all of your talents and like your background and what I’ve seen, I could totally see why having all the different content areas would like make sense. Are you using a set curriculum? How do you come up with what to teach? Do you do it with teams? Like who comes up with that?

Lauran Woolley (02:36):

Uh, me, myself and I.

Eric Cross (02:38):

Well done.

Lauran Woolley (02:39):

My school, for literacy we’re using literacy collaborative. Then for math, we just adopted bridges, which I love and it’s very hands-on, very like student-led. For science, we had nothing. And I am not a science, or was not a science teacher at the time when I took over. So I panicked a bit and I was like, “Hey, can we have some kind of science curriculum? ‘Cause I got nothing.” And it’s not hard to look at the state standards and figure out what you need to teach them, but having no resources to go off of is extremely difficult. And luckily I have an older brother, he’s like three years older than me and he’s also a teacher. He actually is a science teacher. ‘Cause that first year that I was teaching all subjects, I was like, “Hey Ryan, can you just like send me all of your Google Drive files for science <laugh>?

Lauran Woolley (03:33):

And he’s like, “Yeah, sure.” So he kind of was like a mentor for like the first year that I taught science. And this year being my second full year teaching science, I feel much more confident. I’m still using his resources. We don’t have a dedicated curriculum at my school. So that’s like one thing I’ve been fighting my school on. And not that they don’t wanna get us one, but like they were focused on getting the math curriculum last year. And then I was told, okay, this year will be science because in my state, fifth grade is a tested area for science and we have no curriculum.

Eric Cross (04:04):

Ryan, keep doing what you’re doing big bro. Second, thank you to every teacher who’s had a Google Drive folder full of curriculum that you graciously shared to a new teacher or someone else that they could have.

Lauran Woolley (04:18):

Can we just say like, can schools, like schools, please get your teacher’s science curriculums.

Eric Cross (04:24):

No, absolutely right. And there is this way of thinking that, especially as a science teacher, it’s something that is dear to my heart, but we do want to develop these math and English skills that’s important and we need that for science. But we’ve always taught so siloed for so long, but that’s not the way that we learn and that’s not the way life works. Something that intrigued me about what you said, and I think a lot of people can relate to it, and I know I can because that was me, is you created your own content or your science content. Like you’re kind of piecing that together from what Ryan had shared with you. How do you make time for that with all of the other things that you’re doing and pressures of state testing and things like that. Like how do you weave that into your teaching?

Lauran Woolley (05:02):

So we have like things that are non-negotiable in our schedules. Like we have to have so many minutes of this, so many minutes of that, so many minutes of whatever else. Well, the first year, I was self-contained. I was like, okay, my main goal, because science is a tested area, I wanna make sure that I get in science every single day, 90% of the time I’m able to get anywhere from 30 to 45 minutes of science every day. But this year it was my goal to make sure that I was getting science done and like we were doing meaningful lessons. And last year I didn’t do this, but this year I’m doing a Christmas center for STEM. So I got it off of Teachers Pay Teachers. I’m sorry, I can’t remember who it was made by, but it’s called Jingle All the Way and it’s like building Santa’s new sleigh. And so like the kids have an activity where they have popsicle sticks, straws, a plastic cup and then like tape. And they have to build a new sleigh for Santa and see how many pennies their sleigh can hold. Like talk about a sleigh being lightweight but also strong and like what would make it strong and different things like that. So I’ve been trying to incorporate a lot more STEM activities. And then something I really like to use for experiment days, I call them lab days, is Gizmo. Have you heard of Gizmo?

Eric Cross (06:15):

Yeah. The simulations.

Lauran Woolley (06:16):

Yeah. My brother showed me that too and he was using it in his class. I mean there’s so many different ones that they have that align with the standards and they have like student lab sheets that go with them and teacher guides and stuff. I’ve just been trying to like up my game a little bit more this year, because last year I was like struggling to get all of the standards in before state testing came around because, can we agree, state testing should not be as early as it is? Our state test happens in like March and we have two months of school left. So like, we better be done with standards by February so we could review, because otherwise we’re kind of outta luck because we run outta time.

Eric Cross (06:59):

Yes. That and there’s all kinds of other things that state testing brings with it that we could spend a lot of time probably critiquing and talking about like as far as what’s ideal for kids and what’s the best way to measure and assess learning. That is one question I wanna ask you though, because I know with your work on TikTok and Instagram and YouTube, you must be connected to a pretty vast teacher network and maybe you have like, kinda like more of an inner circle of people, but you must come across so many different perspectives and get into great discussions. Is there <laugh>, is there anything that kind of stands out to you as far as if you were in charge of what we’re doing? Because that’s kind of the system that we all live in and we kind of are trying to internally change it, but it’s been that way for a long time and we just kind of have to work within it until we can make changes. But if you were to, I dunno from an elementary school perspective, change or modify the way kids are learning, what would you do if you had Monarch ability?

Lauran Woolley (07:54):

Okay, I got three main things I’m thinking in my head. Okay, first things first, we got Maslow’s hierarchy of needs. Okay. If kids are coming to school hungry, if they’re coming to school and don’t have, you know, fresh clothing to put on, if they’re coming to school and they have issues at home that they are dealing with, that they are not okay with, the learning is not happening. That’s secondary. They don’t, it doesn’t matter to them. It doesn’t matter to me because what’s most important is that child as a human being and whether or not they’re okay. If I had unlimited resources, I would love to be able to build like a little mini village inside a school and have like a clothing store that kids could grab stuff from. Or like a, you know how I know how school have like closets and food pantries, but like a real place they could get some new clothes, not like hand-me-down clothes, like a store they could go and grab some food if they needed food for their homes or whatever. We have like an onsite counselor but not like a school counselor, like a therapist-type counselor for like mental health. Having some kind of like health clinic, not just like a school nurse because, let’s be real, our school nurses see everything <laugh> and they do not get enough credit, but like to have like a little like urgent care clinic, like basically a small town <laugh> inside a school that like kids would have all of the resources that they need met. Like that would be my number one thing that I would love to do. I have taught in, you know, I’ve only taught in two different schools, but like I’ve seen a lot of things and the number one thing that keeps coming back is just like home lives and mental health and having someone to talk to.

Lauran Woolley (09:41):

And I think our kids don’t have enough of that. Second of all, would be obviously state testing. Because I mean, it’s good to see like where our kids are at. I don’t think it should be used punitively and I don’t think that it should be putting as much pressure on teachers and students the way that it is. It’s not effective that way at all. Let teachers do their jobs without us having to, like, ’cause honestly, who’s not gonna say that they’re not trying to set their students up to do the best on that test. Our evaluation depends on it. I’m gonna make sure my students are prepared for it. I’m gonna teach all the standards, but like, I shouldn’t have to be teaching so that they could do well on a test. I wanna make sure that they’re ready for the real world and I wanna make sure that they’re able to apply these things that I’m teaching them in their life, not on a multiple choice test. Third of all, <laugh>.

Eric Cross (10:33):

This, this is great. And I think a lot of teachers will listen and be like, “That’s what I’m talking about right there.” Keep going. You’re on three.

Lauran Woolley (10:40):

That would be two teachers in every classroom. Either two teachers in each room or like a teacher and a paraprofessional in each room, because there’s not even an argument that teachers are more effective when they have help.

Eric Cross (10:54):

I would even carry the math on further and say that it’s a force multiplier, like exponentially, that it’s not just, it’s not just like a one plus one equals two teachers. It’s almost like you can almost have like three or four just because of the energy and the synergy that can be created between the two. And you can push off of each other, encourage one another and both support different types of students. So I agree a hundred percent. I think that if you had two teachers that were in sync and planning together and talking about kids all of the time, you would be able to go deeper with students. You’d be able to find out those things that you talked about in Maslow’s because sometimes we don’t find out about it until a parent-teacher conference or kids left our classroom. I wish I would’ve known that. The student was without these things in the very beginning.

Lauran Woolley (11:41):

Absolutely. Mm-hmm.

Eric Cross (11:42):

So when do you start in the school and do we go on LinkedIn to sign up and apply or is it like a lottery system? Like, ’cause you know, I was gonna get a lot of attention.

Lauran Woolley (11:52):

I would love to Oprah Winfrey this and like build my own school <laugh>.

Eric Cross (11:56):

We gotta get those followers up. We gotta build up the sponsorships. We gotta get you up to a hundred million.

Lauran Woolley (12:01):

Listen, if all of my followers across all my platforms donated like $2, we could have $12 million to build a school. <laugh>.

Eric Cross (12:10):

Think about like, DonorsChoose, right? People do that. And I know there’s mixed feelings about it because we need stuff in our classroom. I’m just gonna say that. All right. So, whether I have to ask for it on a website or whatever, but people want to give directly to kids, or people who need it. And I think when there’s opportunities like that, that are visible, people are more likely to want to.

Lauran Woolley (12:29):

In reality, should other people have to fund education in classrooms? No. That’s literally what your taxes are for. A government-funded classroom versus a teacher-funded classroom are two different things. And we know that. But if teachers are asking for things or asking for donations on Amazon or on DonorsChoose, just know in your heart that that teacher has probably already shelled out a lot of their own cash to do that. It’s not that they’re, you know, asking for handouts or anything like that. They’re trying to give their students the best that they can and that’s the thought process behind it. And until we get changes in our education system or changes in legislature that will allow us to do that or will allow classroom budgets, I mean, our hands are tied. Like there’s only so much teachers can do. I’m very fortunate to teach in a district that sees the value in spending money on their teachers and students. And, like my school, like I said, they just shelled out thousands of dollars on a new math curriculum. They bought school supplies. Literally every teacher made their school supply list this year. And then the district went in and paid for every single student’s school supplies in the entire district.

Eric Cross (13:49):

Can we get a shout out to your district real quick?

Lauran Woolley (13:51):

Uh, yeah. I mean, shout out Leetonia schools like, I mean, you guys are awesome and I’ll shout that from the rooftops. I love where I teach. Like I really do think that they value our students and they care about our students and our admin is great. We got a new superintendent a couple years ago. He’s been doing a phenomenal job and I really love it and I’m glad I teach there.

Eric Cross (14:12):

When you move out of the classroom, you know, in any position of leadership, you do have the microscope or magnifying glass on you and a lot of times it’s critical. And not unjustifiably so, I mean, there’s a lot of things that can be critiqued. However, what we don’t always hear is the success stories or where it’s working for teachers and why. And we need leaders to be able to talk to each other and find, “Hey, it’s working in your district? Oh, I just heard, I just heard this district get shot out. I’m gonna go reach out to those people. Hey, what are you doing?” Because we connect with each other, but I think when you go like a level up, that kind of getting up the top of the mountain, the, the connection sometimes can become more difficult for people. There’s not a lot of, I don’t know, maybe there are, but admin influencers.

Lauran Woolley (14:54):

Oh yeah, there definitely are. And I’ve met some really incredible ones. I’m on a committee at my school, it’s called NNPS, it’s the National Network of Partnership Schools. It was started out of Ohio State University. Essentially it is a committee in the school that’s dedicated to bringing together the community and businesses and partnering with people to make our school as strong as it can be. We started last year and we did a bear breakfast, ’cause our mascot is a bear. And we had Christmas things and we had the choir caroling, and we had pancake breakfast for everybody and it was completely free. It was just really nice to see everybody come together. And it feels like the culture changes when people work together and come together for the betterment of the school and for the students. And I think what’s challenging is that so many people have such a negative experience from their schooling that they’re hesitant to get involved in their kids’ schooling. I urge any parents out there, any guardians out there that are, you know, in that mindset where you’re like, I didn’t like my teachers in school, or I had this, this, this and happened to me at school. Give it a chance to know that things have changed and things are changing.

Eric Cross (16:11):

I definitely agree with you about parent engagement and getting involved and sometimes parents, they just don’t know that they should. But wow, your voice is so powerful, especially at board meetings and things like that. Getting stakeholders involved, creating community, which it sounds like your school did a great job or your district did a great job of. The last question I wanna ask you, and it’s kind of going back to who your influencer was, is you now are in a position where your impact exceeds more than, you know. You’re planting so many seeds you’re sharing, and you’ll hear maybe a few, or I’m sure you’ll hear the things that kind of come back to you, but that’s only a fraction. But I wanted to ask you, like, as you think back on your career as an educator or when you were in school K through five or K through 12, is there anyone who stands out to you or who was maybe your influencer or teacher who made a big difference that was memorable? And if so, who was it and what was it about them or what did they do?

Lauran Woolley (17:01):

So I had a lot of teachers that I really had good relationships with and I loved school growing up. But one always stood out in particular, and that was my ninth grade English teacher and her name is Andrea Reid. She was the first person who really told me that I was talented at something and that I could succeed in something because she was the English teacher. She was also a coach of the speech and debate team at my high school. Just one day after school. She was like, “Hey, like you should come to speech tryouts.” So I went to tryouts, like I did it not thinking like I cared if I made it or didn’t, and then I made the team. And honestly, I feel like speech was the starting point of all of it. I competed in speech and debate for four years of high school and she was my coach.

Lauran Woolley (17:49):

I always have horrible nervousness with public speaking, even though I do it a lot. And she would always give me like the best hype speeches and the best confidence boosters. And I feel like speech started my love of acting and started my love of like, you know, comedy and stuff like that. And so therefore TikTok happened and I don’t think any of this would’ve happened had it not been for her and her opening that door for me and telling me, “Hey, you would be good at this. You should try it.” We’re still friends to this day, 15 years later, and she is like an older sister to me and I love it.

Eric Cross (18:26):

That’s amazing. Andrea Reed, that’s her name.

Lauran Woolley (18:28):

Andrea, yep.

Eric Cross (18:29):

Andrea. Andrea Reid. Ms. Reid, thank you, for inspiring Lauran and <laugh> because of your impact, now it’s impacting so many others and as teachers, like, we don’t even, we don’t know, but it’s so humbling to know that like the words that we say to people have that impact and power. It’s so, it’s, it’s so inspiring to me. One of the things that resonate with you so much is your transparency. Like in your depth. Like even as just listening to you talk, you normalize and humanize so many things that we experience and I’m sure that’s what a lot of the people that watch you connect with. You show your life, your family, your house, all these things that are happening. And I was just looking through the comments and there’s just so many people that are warmed. Not just your students, but like so many teachers. So thank you for doing what you’re doing and I wish you tremendous success. Thank you for your time.

Lauran Woolley (19:17):

No, thank you so much for having me. This was awesome. I just wish everybody a great school year and I hope that we all make it through winter break. <laugh>.

Eric Cross (19:27):

Thanks so much for listening to this season of Science Connections. I love learning about science educators just like you. You can nominate educators that inspire you to become a future guest on Science Connections by emailing STEM@amplify.com. That’s S T E M at amplifycom.wpengine.com. Make sure to click subscribe wherever you listen to podcasts and tune in for a brand new season of Science Connections coming soon.

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What Lauran Woolley says about science

“I want to make sure they’re ready for the real world and I want to make sure they’re ready to apply these things I’m teaching them in their life, not just on a multiple choice test.”

– Lauran Woolley

5th Grade Teacher, Northeast Ohio

Meet the guest

Lauran Woolley is a fifth grade teacher in Northeast Ohio. She has loved being able to combine her love of education and entertainment into one career. Her goal is not only to humanize educators to both families and students, but to create a safe space for her students on the internet. She has had the privilege of collaborating with educators around the world to shed a light on this amazing career. You can listen and watch the Teachers Off Duty podcast here!

A woman with long dark hair smiles at the camera, wearing a black top and lanyard, with a colorful blurred background.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S3 – 06. Bethany and Dan take on Twitter!

Promotional graphic for Math Teacher Lounge Season 3, Episode 6, featuring Bethany Lockhart Johnson, Educator, and Dan Meyer, Director of Research at Desmos.

In this episode, Bethany and Dan take a look at several tweets that caught the most fire on Twitter during the 2021-2022 school year. The pair answer questions about viral teaching methods, the best teaching advice you can give in three words, and if students should use pencils or pens in class. Join them as they take on those questions and several others in a fast-paced episode.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:02):

Hey folks. Welcome back to the Math Teacher Lounge. I’m your co-host, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I am Bethany Lockhart Johnson. And I’m your co-host, Dan! Hi!

Dan Meyer (00:12):

We’re co-hosts! Hey! Great to see you.

Bethany Lockhart Johnson (00:13):

Dan, this is the last episode of Season 3. Three seasons!

Dan Meyer (00:19):

It’s gotta have a cliffhanger. What will the cliffhanger be? You know?

Bethany Lockhart Johnson (00:22):

The cliffhanger is that we love having guests! It’s one of our most favorite things, because selfishly, we love to talk to all of these amazing folks who are doing this interesting research and thinking about amazing things. But for this last episode, it’s just you and I, Dan. Cliffhanger!

Dan Meyer (00:40):

Yeah. I like this. I like this. So the cliffhanger was last episode, and people are all like, “So who’s the last guest gonna be of the season before we roll out into summer?” And yes, as Bethany said, we love all the fascinating guests we’ve had on throughout these last few seasons. And we realized…who is more fascinating to each other than both of us? You know, let’s talk to each other about things, right? <Laughs> You get that! You get that! Or am I alone here in this? We had this idea about what we should talk about here, and that’s this: I am on Twitter a lot. I’m @DDMeyer on Twitter; throw me a follow; might follow back; who knows? I don’t tweet much. Bethany, what’s your handle on Twitter? Let ’em know.

Bethany Lockhart Johnson (01:22):

I’m @LockhartEdu, and I was much more active pre-mamahood. But I’m still up in there. Go ahead.

Dan Meyer (01:30):

Yep. In there. Yeah, great. So I’ve been keeping track of the hottest conversations in math education Twitter, the conversations that the most people who kind of describe themselves as math teachers in their bios and whatnot have been replying to. We’ve got some little things working in the background, keeping track of this sort of thing. And so we are gonna bring you folks some of those extremely hot conversations, and even better than the questions—which we hope you’ll reply to and tag us in your replies—even more than those questions, we’ll bring you our answers—our answers!—to those questions. Can you believe that? We’ll fully settle these questions! Won’t we, Bethany? My gosh, won’t we?

Bethany Lockhart Johnson (02:15):

Jeez Louise! No! Dan Meyer, the point is not our final word on it! The point is this episode, we’re furthering the conversation. We wanna hear from listeners about what do you think?

Dan Meyer (02:25):

Right. You’re right. You all need someone in your life like Bethany who will help you become the best version of yourself. So here’s the deal. We have several questions in a few different categories. We’re gonna bust through some quick ones, pretty quick. And, uh, there’s some meaty ones as well. Let’s get into it! The first questions come to you all, and us, courtesy of MTL guest Howie Hua, who has a renowned knack for just creating math memes, but also conversation starters that really capture the curiosity and answers of of a grateful nation. So Howie’s first question, which I’ll pose to Bethany, is, “What’s your favorite number?” Bethany? And why is it your favorite number?

Bethany Lockhart Johnson (03:14):

Oh, I love it. OK. Well, the first thing that came to my mind is 12. ‘Cause It’s a highly divisible number. I mean, 2, 6, 3, 4—I love it. And it coincides with the day and month of my birth. Which, like, the double-digit…come on, 12, 12, 12, 12. I dunno, am I giving away, like, my bank security code <laugh> or anything by saying that?

Dan Meyer (03:41):

Yeah. What’s your favorite PIN?

Bethany Lockhart Johnson (03:43):

Let me change my PIN. Yeah, it’s just such a happy, happy number. Well, 12 is, you know, 10 and 2. Two more. Anyway. Love it. What about you, Dan? What’s your favorite number and why?

Dan Meyer (03:55):

I’m into it. I’m into it. I think I would choose 16. Because it’s the first number for me when it was like, “Oh, you can keep on making numbers forever!” Where I’m like, OK, 2times 2 is 4. Great. That’s kind of an elemental expression in mathematics. Four times 2 is 8. OK. But then, 8 times 2 is 16, and it’s like, “Oh, you can just keep doubling that thing over and over and over again!” And I can recall feeling pretty excited that numbers are just like, out there for the finding. For the taking. Cool stuff.

Bethany Lockhart Johnson (04:33):

I’m sorry. Wait, I have to interrupt. You went 2 times 4 is 8 and you didn’t go 4 times 4 is 16? You went 8 times 2 is 16? You wanted to keep the 2 the same?

Dan Meyer (04:49):

Yup. Yup. You can keep on doubling. You can keep on doubling numbers and it just keeps on going.

Bethany Lockhart Johnson (04:53):

More evidence that our brain works very differently.

Dan Meyer (04:56):

We learn more about each other…let me keep this rolling with Howie questions. OK? Howie says, “If you could co-teach with one teacher from Twitter, who would you choose?”

Bethany Lockhart Johnson (05:06):

Oh, oh, it has to be a teacher?

Dan Meyer (05:11):

Or anybody, I guess. I mean, like, I know you love Oprah.

Bethany Lockhart Johnson (05:15):

Can I co-teach with Oprah?

Dan Meyer (05:16):

Yup, yeah, so there we are. <Laugh> Yup. OK. Fair enough. We have to work Oprah into every single episode.

Bethany Lockhart Johnson (05:23):

I’d just love to sit and like, we’d read together, we’d read to the students, and then we’d talk…I mean, obviously it’d be Oprah. But if we’re thinking more of like MTBoS, like math Twitter blogosphere-land, I suppose the person I would wanna co-teach with honestly would probably be Allison Hintz. One of our former guests as well. Her book, Mathematizing Children’s Literature, with Antony Smith, that book—I just love the idea of sitting and doing a read-aloud and then diving into some juicy math that’s inspired by what comes out of that read-aloud. So yes, that’s who I pick. Allison! Let’s co-teach!

Dan Meyer (06:00):

<Laugh> Shout-out to Allison.

Bethany Lockhart Johnson (06:01):

What about you?

Dan Meyer (06:03):

I would choose MTL guest Idil Abdulkadir—because, and this relates to Allison and also Elham Kazemi—they talked about, in our episode about teacher time-outs. And I’m choosing someone who I think is—like I’ve never seen Idil teach, but I work with Idil at Desmos and think she’s fantastic. But what I really want in a co-teacher is someone that I can say, “Whoa, time out, do you see what’s going on here? This is really interesting. What should we do next about this?” And have a little strategy sesh in front of the kids and no one gets freaked out by that. And I think that that’d be a pile of fun. Idil seems like she’d be receptive to that kind of interaction, teacher to teacher. So that’s my vote right there.

Bethany Lockhart Johnson (06:48):

Opportunity for you to grow your own practice, Dan.

Dan Meyer (06:52):

Yeah, yeah, exactly. 100%.

Bethany Lockhart Johnson (06:56):

So Dan, I actually have a question for you from Howie. If we’re on the Howie tweet train, I have one from Howie too.

Dan Meyer (07:04):

Howie had some fire tweets, some fire tweets this current year. Yep.

Bethany Lockhart Johnson (07:08):

Dan, I wanna know: Do you prefer doing math in pen or pencil?

Dan Meyer (07:16):

Ooh, yeah. Oh, I see that Howie says, “I don’t mean to start any drama, BUT,” and then asks the question–

Bethany Lockhart Johnson (07:23):

But!

Dan Meyer (07:24):

I think that Howie lives for drama. I think he knows he’s messy. He lives for drama. He knows what he’s doing this with this question here. He knows.

Bethany Lockhart Johnson (07:32):

DRAAAAMAAAA!

Dan Meyer (07:32):

He knows what he’s doing. Yup. So I would just say it depends. Is that cheating? Like if I’m doing math to learn, or if we are learning in that process, then I want to use pen, actually. I wanna see the tracks of the thinking. And if we’re doing it for presentation, like if I’m presenting something, I wanna…I guess that’s an area where I’d be fine to not erase things. I don’t wanna prep it so it’s, you know…I guess you could use pen for presentation also. Just pen. Period. But I wanna see the tracks of the thinking if we’re doing some learning versus presentation. What about you?

Bethany Lockhart Johnson (08:09):

Well, I heard the voice in my head telling one of my kindergartners, “No, you cannot do that in sparkly pen. You need to do it in pencil.” And I was like, “Wait, whose voice is that?” It was one of my math teachers telling me I couldn’t do it in pen! Why couldn’t this kid do it in pen? Sure! Do it in a sparkly pen! So I wanna say do it in pen. And since usually pen is what I have around…I mean, I do crosswords in pen, Dan.

Dan Meyer (08:36):

Wow, wow. With a piece of paper and math, you have lots of room to re-revise and cross off…but those little, little boxes on the crossword, that says a lot about your commitment to pen.

Bethany Lockhart Johnson (08:46):

I got really good at making an A into an H or a P or whatever we need. So I would say, “Hey, if you’re in the room with your kiddos and you’re doing math, if somebody wants to do pen, let them do pen.” But I do know that I’ve seen teachers say you need to do pen so that I can see all of your thinking. So I think I hear what you’re saying. But do you think it should be like a classroom rule or something?

Dan Meyer (09:13):

Oh, no, no, no. I mean, I’m gonna ask you like, “How’d you get to this destination?” And I wanna know process somehow, and I think you’ll get tired of having to explain it verbally rather than just, like, showing. Just don’t erase stuff. Don’t scratch stuff off. Let’s let’s see how you’re getting there. That is what I’m into.

Bethany Lockhart Johnson (09:30):

Thanks, Howie, for that trio of thought-provoking tweets, because I genuinely wanted to know what Dan thought and what our listeners think. I mean, Dan, I gotta say: Howie, you say you don’t wanna cause drama, but I gotta say I’m with Dan on that—

Dan Meyer (09:50):

Got the gift. Got the gift for drama. We’re still friends though. So I’m happy about that. Our next section, I got a few more questions queued up here and these ones relate to advice for educators, advice for yourself. Good advice, bad advice, that kind of thing. So let’s jump in. I would love to know—this one’s from Pernille Ripp—I’m very curious, Bethany, what is the worst teaching advice you have gotten in your life, ever?

Bethany Lockhart Johnson (10:19):

<Laugh> Ooh. OK. Um, worst teaching advice was: “That’s OK, just move on anyway.” And that was in terms of pacing. It was like, students needed to do a deeper dive and the teacher who I was chatting with said, “No, no, it’s fine; it’s fine; just move on. Just move on to the next chapter.” That was probably the worst advice, because no, I don’t think that’s what I should have done at all! <Laugh>

Dan Meyer (10:48):

Right.

Bethany Lockhart Johnson (10:48):

But I was a first-year teacher and I was trying to figure it out. And I learned that that was not good advice. And I understand the pressure of pacing. But it was totally antithetical to the type of listening to my students that I want to do in my craft. And this teacher meant well, but that was not good advice, teacher! <Laugh> What about you, Dan? What is the worst teaching advice?

Dan Meyer (11:13):

I dig that. That feels similar to one of the replies to Pernille here. Frances Klein says, “Never let them know you’ve made a mistake” being particularly bad advice. You know, just this like idea of like moving along, covering your tracks, not backtracking or admitting mistakes, those all feel kind of a piece. The worst advice I think I’ve ever received, and I wasn’t given this often, but it’s echoed by a lot of the commenters here on this tweet, which is “Don’t smile until X, Y, or Z,” where X, Y, and Z are like Christmas, October, December, January. Just the idea that you’ve gotta develop—

Bethany Lockhart Johnson (11:54):

Wait, what?

Dan Meyer (11:55):

<Laugh> Did you never hear this from anybody? Don’t smile until Christmas? Perhaps this is more—

Bethany Lockhart Johnson (11:59):

I’m a kindergarten teacher! Can you imagine? If I don’t smile the second they walk in? The tears?! The parents’ tears?! The kids’ tears?! If I’m just like, stoic?

Dan Meyer (12:07):

Yeah. Well.

Bethany Lockhart Johnson (12:08):

So explain it to me.

Dan Meyer (12:10):

Well, the idea is, is that, you know, for older kids, they’re scoping you, they’re clocking you for weakness, they’re looking at you, they’re looking to take advantage. And so “don’t smile until Christmas” is like, hey, you can always relax. You can always relax your discipline, but you can’t UN-relax it if you start out, you know, Mr. Happy Pants Meyer. Which—

Bethany Lockhart Johnson (12:33):

Smile perceived as weakness.

Dan Meyer (12:36):

Yeah. Very obviously poor advice. Eventually you come to realize that like having a rapport and a relationship that is trusting and warm and demanding, that has high expectations, that’s the best kind of classroom management. Not some kind of persona built around intimidation or stoicism, that kinda thing. So, terrible, terrible advice!

Bethany Lockhart Johnson (13:01):

I feel like I did have a few of those math classes. Yeah.

Dan Meyer (13:04):

Yeah, exactly. <Laugh> You loved them, right? They were like your favorite math classes. It was a blast, right?

Bethany Lockhart Johnson (13:11):

<Laugh> So we have to ask the opposite. Thank you, Daniel Willingham, who said, “What’s the best advice you got?” But hold on, Dan, he didn’t just want the best advice. He wanted the best advice in three words.

Dan Meyer (13:26):

Oh yeah. He doesn’t, he doesn’t want a book or dissertation or even a blog post or even a tweet. He wants just three words.

Bethany Lockhart Johnson (13:32):

I think maybe that might have been to me. <Laugh>

Dan Meyer (13:34):

This is someone who’s doesn’t have much time for this advice, wants it distilled down. I’m just obviously stalling here as I try to think about this. I don’t know, there’s just like so much nuance lost here. I would say, listen to students, listen to students. I can’t say more that, I guess. I guess I’m done. I can’t say more than that there. But you’re in a bad place if you’re not listening carefully to students. How about you?

Bethany Lockhart Johnson (14:04):

  1. Mine is “Ask…lots…questions.”

Dan Meyer (14:11):

Nice. ‘Cause I filled in the word! I filled in the word! I was able to kinda infer that. I did that. I got that.

Bethany Lockhart Johnson (14:17):

Wait, wait, wait, wait! I could have said many! Wait, I could have said “Ask many questions.”

Dan Meyer (14:22):

Strong, strong.

Bethany Lockhart Johnson (14:25):

So yeah. You know, no isolation, like don’t put yourself in a bubble. Ask, not just, not just your students, but the teachers! Ask a lot of questions. You don’t have to have it all figured out.

Dan Meyer (14:34):

Into it. Very much into it.

Bethany Lockhart Johnson (14:37):

Thanks. Daniel. Thanks, Pernille.

Dan Meyer (14:40):

Yeah. Daniel and Pernille, Both great questions there about advice, best and worst. Another fire tweet popped up earlier this year from Dr. Khristopher Childs, which was “Name one thing every educator should stop doing.”

Bethany Lockhart Johnson (14:57):

Oh, I don’t know. This kind of ties into my best advice about asking questions.

Dan Meyer (15:03):

Stop not asking questions?

Bethany Lockhart Johnson (15:06):

<Laugh> Avoid the isolation. I really love this idea of when we can, popping into each others’ classrooms, co-teaching, building this collaborative nature. Elham Kazemi, in our interview, talked about this idea of, like you said, the teacher time-outs, learning from each other. So I feel like if we could stop isolating ourself…and I don’t mean at lunch—sometimes you need to not be in the teacher lounge at lunch. Like if you need a minute, take the minute! But in general, as a practice, how can we not be isolated and instead be learning with, and from, each other? How can we stop the isolation? That’s what I would hope every educator would stop doing. What about you, Dan?

Dan Meyer (15:54):

I think that educators should…this is gonna require a little bit of elaboration. I think educators should stop taking responsibility for things that are not in their zone of influence. I think that as a society we are asking teachers to do more and more, to become more and more of a central fixture holding together with chewing gum and twine all the various parts of a student’s life. From their health, their fitness, emotional health, that we feed students at school. It becomes very tempting, I think, there’s a lot of pressures to blame outcomes, disparate and unjust outcomes later on in life, on teachers. And teachers should just flatly refuse. And to yeah, understand what the job has been set up to do. What it’s good for. And do that with excellence and intent and a lot of effort. And then not take responsibility for the rest of it.

Bethany Lockhart Johnson (16:53):

If I asked five different people about the definition of what a teacher should be doing, I would get five different answers. So I think it’s really interesting that you say that because yeah, many, many hats, which I think, yes, can lead to burnout. Can lead to all sorts of things. We’re asking schools to be all things to all, all people. Interesting. I’m gonna think about that more. I need to hear folks’ response on that, Dan.

Dan Meyer (17:18):

Mm-Hmm. I’m curious too. I mean, yeah, there are definitely things that are in teachers’ responsibility and some that are not. That’s a tough one.

Bethany Lockhart Johnson (17:26):

OK, for help, name an example of each. And what’s something that you think every teacher should not and should be doing. ‘Cause I feel like my brain goes to some things like, you know, I had teachers who were saying, “Well, I don’t wanna have my kids have to have breakfast in my classroom in the morning. That shouldn’t be my responsibility to serve breakfast in the morning.” But I’m like, “But then your kids are eating and they’re gonna be able to learn and be more focused.” Should that be the teacher’s responsibility? I’m not saying it necessarily should, but I’m saying…I don’t know. It gets murky for me.

Dan Meyer (18:06):

Yeah, for sure. I mean, I think that we should, as a country, have a really generous social welfare net so that everyone has food at home. Where a school is not the place where some students have to go to in order to receive nutrition and nourishment. That seems sad to me. And uncommon in developed nations. I think that teachers should watch out for, should be responsible for, the mathematical development of the students they teach, up to a point, they should be responsible for learning math and creating relationships in their classes. I don’t think that teachers should accept responsibility for larger kinds of outcomes, like the health of a democracy or international competition, who goes to the moon first. That kind of thing has historically been placed at the feet of teachers. And it’s tempting when you’re a teacher, I think, to take on that responsibility because it kind of develops your social importance. And I just say, we should say no to that. And get compensation, not in terms of social importance, but rather like in spendable dollars and monies.

Bethany Lockhart Johnson (19:10):

I’m learning more about you, Dan. And you know, this is what I’ve gotten from that answer: If you’re gonna dream, dream big. Right?

Dan Meyer (19:17):

Is that what you got from that? I don’t know. I think I’m trying to dream realistically.

Bethany Lockhart Johnson (19:23):

No, like if we’re gonna say, “Maybe teachers shouldn’t be responsible for serving breakfast in the morning,” well, because we want every child to have access to nutritious and filling food at home and time to eat it in the morning, right? It’s bigger than just, “I don’t want the teacher to have to do this.” So we’re dreaming big. We’re saying this should be the LEAST that students have access to, right?

Dan Meyer (19:53):

Yeah. Yeah. I’m here now. I’m with you. I like that dream. Where we take care of folks in their lives outside of schools. So schools don’t have to be the one linchpin for every kind of social outcome. Like currently a lot of them run through a school ’cause we don’t do a good job of setting up other ways to meet those needs. And we should.

Bethany Lockhart Johnson (20:16):

And we’re also recording this in, what, two weeks, a week, after a tragedy where students and teachers were killed in the classroom. And I think both of us are taking some deep breaths and recognizing that there’s a lot of debate that is happening about what teacher’s role should be in preventing this in the future. And I don’t know if you’ve done drills in your classroom that are supposed to help mitigate disaster, but you know—collective deep breaths— <laugh> is where we’re at right now.

Dan Meyer (20:52):

Yep. The idea of “we should arm teachers” is another example of no, we should not do that. We should solve the tendency towards violence outside of the classroom so that teachers and students can teach and learn. That sounds awesome to me.

Bethany Lockhart Johnson (21:06):

Collective deep breath. Whew. OK. So what else you got for me, Dan?

Bethany Lockhart Johnson (21:33):

Ooh. So I feel like I’ve heard that in many teaching PDs. “I Do, you do, we do.” Actually I feel like I’ve seen like more “I do, we do, you do.” Like graduated release. I do it, then we’ll do it a little bit together, and then now you have permission to do it. And I feel like in directed draw, that’s a hundred percent true. Like I’m gonna show you this and then you draw it. And then you cut here and then you do it. If we’re trying to create this, like I’m teaching this new art technique. But in mathematics, I feel like that’s really not what I want my classroom to look like. I want to support my students and set them up for sense-making, and then I want them to try it out and I don’t want them to solve it the way it first comes to mind for me. I wanna see how they make sense of it and how they solve it. And then I want us to share it with each other so we can grow together. So I think time and place for “I do, you do, we do,” or “I do, we do, you do.” Or shoo-be-doo-be-doo-be. Yeah. You?

Dan Meyer (22:44):

I’ve got nothing. I have nothing to add. I thought that was just an excellent summary of a classroom I would love to be a part in, love to teach. I think it’s a certain tool in the toolbox that I think is overused. But it’s also a tool that can be useful in the case of certain kinds of operations. There are some operations that do benefit from “let me just show you how, like one way you might do this.” I don’t know. I’m like helping my kid whack a nail into a board and there’s a moment where it’s like, “Hey, actually, lemme just show you one way you can do this,” and do it, and then that’s helpful in some moments. But for so much of math, a lot of math does not relate to the operational kinds of fluency. And in those instances, it’s a little bit…it’s not a useful tool, I don’t think, for those kinds of skills and ideas.

Bethany Lockhart Johnson (23:34):

I’m thinking of tool talks in my classroom. So in kindergarten, many of the tools that we use in math and just in class in general, are new to the students. And if I tell them, this is exactly how you should use this tool, then I feel like I’m taking a lot of the sense-making away from them. But if I introduce the tool, show them how to use the tool safely, show them this is not a safe way to use the tool, chewing on this is not safe. That’s not how we use this tool. This is how we take care of it, et cetera. But then support different modes of using the tool that are gonna help them use it to solve problems and make sense, I think…but I guess—Dan, have you heard “I do, you do, we do,” or is it “I do, we do, you do”?

Dan Meyer (24:22):

I’m with you. And I think that it got clarified post-tweet. But yeah, it typically is “I do, we do, you do,” the gradual release of responsibility it’s often called. And I, I have heard people do what you described, which is…what is it? It’s “You do, we do, I do”? Like an inversion of that? Like have people do a thing that I can do that’s not too, too abstract for them, and then like “We all do something together, and then I’ll offer a summary of what we learned,” is one way that goes. I like that tool as well.

Bethany Lockhart Johnson (24:53):

I think particularly, at least I’ve seen in elementary classrooms, there’s sometimes this fear of letting students just try it out before I’ve really showed them, “but this is how it has to be.” And what I am most excited about is supporting students and creating a classroom environment where students don’t need my permission or need my direct “this is the only way to do it.” Instead, it’s like, yes, there’s lots of things we model. But there’s also like, “Hey, what do you think? How do you think this should be used?” And the joy of that exploration.

Dan Meyer (25:30):

Yeah. There’s a feeling of efficiency that comes from “I do, we do, you do,” for some kinds of math, but it’s undercut in my experience by what it cultivates in the students, which is “I’ve gotta wait until the teacher does before I can do anything.” So it pays off real diminishing returns over time. And it’s, just for me, an exhausting way to teach. Always being the bottleneck for new learning is a total drag.

Bethany Lockhart Johnson (25:55):

Ooh, what a great way to describe it. You do not wanna be the bottleneck. You want to be…what’s the other thing? The facilitator? What’s the opposite of a bottleneck? The flowing river? The…The…Help me!

Dan Meyer (26:10):

Hit us up in the replies. I dunno. The opposite of a bottleneck. That’s what you wanna…you wanna not be the opposite? No, you want, yeah. We got this here. We’ll figure it out. We’ll get back to you. <Laugh> OK. Well, folks, those were a few of this year’s fire tweets. It’s been fantastic chatting with you—

Bethany Lockhart Johnson (26:29):

Dan.

Dan Meyer (26:29):

—Bethany, About all those—

Bethany Lockhart Johnson (26:32):

Dan. You know, my favorite thing to do is interrupting you, Dan. I have to interrupt you because we can’t end fire tweets, Dan, without including a tweet from you.

Dan Meyer (26:43):

Oh, that’s true. I do have my moments. Yeah, we should. We really should. <Laugh> Do you have one in mind?

Bethany Lockhart Johnson (26:50):

No. Dan. Yes. I loved…you tweeted recently, “How many years have you been teaching?” Which, OK. “What Has been like the most influential? Like, what, OK, blah, blah, blah.” <blathering noises> You tweeted, “How many years have you been teaching? And at this point, what has most influenced how you teach?” And you gave some ideas: A methods course, PD sessions, curriculum, TV and movies, et cetera, et cetera. And I love that you put that out there because this episode is coming out as we’re wrapping up another school year. And it also got me thinking about summer and what teachers sometimes do during the summer, but what we might need to do this summer for self-care. But I’m really curious. I love that tweet. And I’m curious, Dan, what did folks say was the thing that had most influenced their teaching and what’s most influenced your teaching?

Dan Meyer (27:49):

Ooh, yeah. People’s responses to this one were really fantastic. I came into this, I was flying to the Association of Mathematics Teacher Educators conference. And I just found myself wondering, so, the pre-service year, the one year of, like, you’re learning how to teach, is how we did it in California. Like how much of that has still infused my practice? And in what ways? I don’t think I think about that stuff consciously, but I think that did like set me up with a lot of images that I would be unpacking for going on two decades now working in education. I think conversations with people, I think observing classes, I don’t think that like the one-day PDs, the one-day development days throughout the year, four times per year, I don’t think those stuck to me much. I think that this summer, I have learned so much, just an embarrassment of riches, from non-educational sources. From other disciplines. From storytelling, for instance. From how people have constructed movies I like. I am proud of the way…one of the aspects of my character that I’m proud of—it takes a lot to admit this, as I’m sure you understand, Bethany—but to integrate lots of wacky stuff and pick from it and use that to affect my practice and teaching has been really positive. So for this summer, I hope that people read a good beach book and just kinda let your teaching mind rest a little bit. And in doing so, create some openings for new ideas about education from other parts of the world. Kids! Having kids has been helpful. I don’t know! Just everything! It’s such a big job, education. Everything has so helpful. What about you? What’s an influence on your practice that might surprise me or other folks out there in MTL land?

Bethany Lockhart Johnson (29:52):

Well, I don’t know about surprise. I mean, I definitely feel similarly, like methods courses absolutely impacted my teaching. But I feel like opportunities where I was able to observe other teachers and where I was able to have conversations with folks about their practice, that has deeply impacted me. And books I’ve read. I mean, honestly, I’ve learned so much from sharing with other teachers. Like, for example, maybe I’ll bring student work and we’ll talk about it. And we kind of create this conversation together about how we wanna come back to the students based on the work we see. Those type of moments where we’re collaborating and we’re bringing multiple perspectives to the table, that I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day. So that continues to surprise and delight me. And thinking about this summer, I think there’s a lot of creativity and joy that can come out of the marination process, when you’re just kind of sitting back and healing yourself, whether through sleep or sunshine or time with friends and family or whatever that looks like for you. I think there’s a lot of creativity that can come from that place of fertile, you know, wellness. I never think of that as wasted time. I think of that as getting the soil ready for all that’s gonna come in the fall. And that being said, I also think it could be a fun time to dip your toes into something that you are excited to read, that you might not have a chance to read during the school year that could be teaching-related. So it’s like very low pressure, like, “Oh, I’ve really wanted to read more by this author. I’ve wanted to read this article. I’ve wanted to dip into this topic.” And not with a pressure, but just with a curiosity. And, yeah, I think so often we as teachers love learning, and to give yourself space to learn in whatever that looks like can be a real gift.

Dan Meyer (32:09):

Yes. And if you need book recommendations, hit the MTL back catalog of episodes. Loads of folks that we interviewed have real good books out.

Bethany Lockhart Johnson (32:16):

Yes!

Dan Meyer (32:16):

Think about it. Think about it.

Bethany Lockhart Johnson (32:22):

One quick recommendation: Again, gotta plug Antony Smith and Allison Hintz’s book. I read Mathematizing Children’s Literature before we did the interview, but this summer I wanna read all the children’s books that they mention. I just wanna go to the library and read all those children’s books. I wanna read them to my son. I wanna read ’em to myself. So, you know, diving into some good YA, children’s books, just, like, TLC. Dan, thank you for such a rich season and a chance to have so many interesting conversations. It is genuinely a joy to learn with and from you.

Dan Meyer (33:00):

Likewise. And always hope to see you folks on Twitter now and then. Let us know what you’re up to this summer at MTLShow on Twitter or in our Facebook group, Math Teacher Lounge. We’ll be there tuning in now and then. It’s been a treat interacting with you folks over this last season. Take care and until the new season, so long.

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What Bethany Lockhart Johnson says about math

“I’ve learned so much from sharing with other teachers… Those type of moments where we’re collaborating and bringing multiple perspectives to the table, I think, has really often shifted me out of my first initial reaction or what I thought I was going to do in the classroom the next day.”

– Bethany Lockhart Johnson

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

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Program questions

Amplify Science is a flexible, blended K-8 science curriculum that addresses the following disciplines: Life Science, Earth and Space Science, Physical Science, and Engineering Design. Together, the units address 100% of the Next Generation Science Standards for grades K-8 and a significant number of the Common Core State Standards for English Language Arts, Literacy in Science and Technical Subjects, and Math. School districts that implement our elementary and middle school science curriculum are outfitted with print and digital resources as well as hands-on materials kits and engage with highly-qualified professional learning specialists to start strong.

We support both. The Lawrence Hall of Science has spoken to thousands of districts across the country and one of the many things they learned was that no one solution works for everyone; therefore, they developed Amplify Science to provide the maximum amount of flexibility so each district wouldn’t be forced into a single model of instruction.

We have suggested sequences for both the integrated and discipline-specific models. If you have a specific sequence that you want to teach, we can work with you to design a sequence that meets your needs.

Yes. Rather than separating Performance Expectations into physical science units, earth and space science units, and life science units, Amplify Science units are organized around anchoring phenomena designed to give students opportunities to dive deeply into certain disciplinary core ideas while also drawing from or applying to others. In organizing the Amplify Science middle school units, we have carefully sequenced these ideas within each grade level to support the development of deep and coherent understanding.

Many real-world phenomena cross the domain boundaries of life, physical, or earth and space science (as well as engineering). Each Amplify Science unit begins with an intriguing real-world phenomenon that poses a problem that needs to be understood and/or solved. By the end of the unit, students will have analyzed the anchor phenomenon across multiple scientific domains, possibly designed and tested an engineering solution, and always applied what they have learned in a different context.

For example:
In the unit Light Waves, students investigate the anchoring phenomenon of why Australia has a much higher skin cancer rate than countries at similar latitudes like Brazil. The focus of this unit is on disciplinary core ideas related to wave properties (PS4.A) and electromagnetic radiation (PS4.B). Students explore these physical science ideas deeply within the unit, and also draw on ideas from earth science (e.g., latitudinal variation of the sun’s energy) and life science (e.g., the effect of energy on the DNA in the nucleus of a cell) in order to explain the central phenomenon.

Yes. We believe hands-on experiences are critical to the study of science. Every unit in our curriculum comes with a kit of hands-on materials to allow students to roll up their sleeves and conduct hands-on investigations.

Absolutely. Amplify Science integrates all four STEM disciplines—science, technology, engineering, and math—in addition to English language arts throughout the curriculum.

Every lesson in Amplify Science explicitly calls out which CCSS Math and CCSS ELA standards are addressed. Amplify Science is not a math program, nor an ELA program; therefore, it does not address all of the Common Core standards. But the program does address a significant number of the standards as they pertain to science.

Yes, the program includes multiple summative assessments opportunities.

  • Grades 6–8 Science Seminars and final written arguments (formative and summative components): Culminating performance task for each core unit where students are introduced to a new real-world problem, collect and analyze evidence, examine a number of claims, and then engage in a full-class discussion where they must state which claims are best supported by the evidence, all while making clear their reasoning that connects the evidence to the claims. After the seminar, students then individually write their final scientific argument, drawing on the DCIs, SEPs, and CCCs they have used over the course of the unit to develop a sophisticated and convincing argument that addresses the problem they’ve been investigating. Rubrics, scoring guides, and examples of student responses at each scoring level are provided to teachers to support the assessment of students’ understanding of concepts and specific practices.
  • End-of-Unit Assessments: Targeted conversations (K–1), written responses (grades 2–5) or a combination of auto-scored multiple-choice questions and rubric-scored written responses (grades 6–8). Summative assessments for each unit are designed to provide valid, reliable, and fair measures of students’ progress and attainment of three-dimensional learning.
  • Benchmark assessments: Delivered four times per year in grades 3–5 and three times per year in grades 6–8, benchmark assessments report on students’ facility with each of the grade-level appropriate DCIs, SEPs, CCCs, and performance expectations of the NGSS.

No. While we do provide suggested sequences for integrated and domain courses, there are other logical ways to sequence the units and we expect that teachers will present the units in a variety of different orders and in any combination. There are a few notable exceptions. For example, students completing the Metabolism Engineering Internship should have completed the Metabolism core unit beforehand, or a unit that provides students with the same information. Amplify Science specifies prerequisites for each unit in the event that teachers are interested in using an Amplify Science unit in combination with other materials.

Amplify Science provides enough instructional content to fill 180 days of instruction.

For grades K-2, we offer 66 lessons that will address 100% of the NGSS and a substantial number of the CCSS-ELA for each grade.

For grades 3-5, we offer 88 lessons that will address 100% of the NGSS for each grade and a substantial number of the CCSS-ELA.

For grades 6-8, we offer 146 lessons that will address 100% of the NGSS for Middle School and a substantial number of the CCSS-ELA. Each lesson is designed to last 45 minutes; therefore, it will take some teachers more than 146 classroom days to teach all the lessons.

Some classes might last longer than one session due to a number of reasons (e.g., enthusiastic student conversations, challenging topics requiring deeper dives, more time needed to accommodate diverse learners, etc.). Also, teachers might want to supplement Amplify Science curriculum with some of their own favorite lessons. Lastly, the 146 lessons account for the inevitable assembly days, class trips, testing schedules, etc. We also offer a number of additional lessons that are not core to each unit, in the event teachers want to go deeper or expand upon a unit topic.

Grades K-1 lessons are designed for 45 minutes of science instruction.

Grades 2-5 lessons are designed for 60 minutes of science instruction.

Grades 6-8 lessons are designed for 45 minutes of science instruction.

It is not a problem if you do not allocate 45 mins of science instruction at K-1, or 60 mins at 2-5. Since there are a total of 66 lessons to address 100% of NGSS at grades K-2, and 88 lessons to address 100% of NGSS at 3-5, you can easily teach the lessons in smaller blocks and cover all of the content over the course of the school year.

Technical questions

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of your digital curriculum products please see Amplify’s customer requirements page.

Overview

With the Science of Reading at its core, Boost Reading blends compelling storytelling with research-based instructional practices to offer:

Personalized instruction across 13 different critical skill areas that adapts to each student’s needs while building on their strengths. Explicit practice in comprehension processes, phonics, and vocabulary. Extra support and scaffolds for struggling readers and English learners with demonstrated impact. An immersive game-play design that motivates students to discover that learning to read is fun.

Engagement is in the DNA: Every lesson and activity engages students through compelling storytelling and powerful narrative. Students persist longer and learn more deeply than when they are working on repetitive worksheet-like programs.

Instruction and practice: Boost Reading gives students practice as well as instruction in the key concepts they need to master. Our reading instruction and curriculum is interactive, not passive.

Emphasizes deep conceptual understanding: Backed by the latest research and designed with experts, Boost Reading focuses on ensuring that students have a deep understanding of the concepts. And those skills transfer from the program to the real world.

Boost Reading is a supplemental digital literacy instruction program that provides students with practice and explicit instruction in the underlying phonics, phonological awareness, vocabulary, and comprehension skills that are essential for fluent reading with good comprehension (e.g., Cartwright, 2010; NICHD, 2000; Oakhill, Cain, & Elbro, 2015).

The overarching goal of the program is to provide engaging individualized instruction and practice in the skills and strategies that have the most impact on literacy, while making it explicit to students that the skills they are practicing are things that good readers do while they are reading. As repetition with variety is an essential part of effective literacy instruction (e.g., Schuele & Boudreau, 2008), after a brief introduction to each activity, students are given repeated opportunities to practice these skills with varied stimuli. They receive immediate feedback for their responses and are given more explicit instruction in areas that are challenging. The instruction provided incorporates documented principles of effective instructional delivery; the activities engage students in multiple opportunities to practice critical skills at an appropriate pace with consistent feedback and prioritize student engagement and motivation, helping students to see their own growth toward reading goals (Carnine, Silbert, Kame’enui, & Tarver, 2016; Gersten, et. al., 2009; Deci, & Ryan, 2012.).

Activities build on an existing computer-based intervention that has been documented to improve the decoding skills of students in multiple experimental studies (Richardson & Lyytinen, 2014). Since learning is promoted when students use their knowledge across tasks (e.g., Merrill, 2002), generalization is encouraged through ebooks with embedded activities that reinforce skills recently practiced in related games.

Instruction is closely aligned with the English Language Arts Common Core State Standards (CSSS) for literary and informational texts and the North Carolina English Language Arts standards. The program was designed to include content that is most effective at building the word reading and comprehension skills of elementary students (e.g., NICHD, 2000; NIFL, 2008), including at-risk and struggling readers (e.g., NICHD, 2000) and English language learners (e.g., August & Shanahan, 2006). The content focuses on foundational reading skills (i.e., phonological awareness and phonics) as well as vocabulary and reading comprehension.

Research also shows that by providing students with contextualized learning experiences and rich engaging stories, narrative-centered interactive learning environments increase student interest, self-efficacy, and feelings of involvement and control in their learning  (McQuiggan, Rowe, Lee, & Lester, 2008).

Over the course of our early efficacy study, kindergarteners using Boost Reading grew an average of 16% more than kindergarteners who didn’t use Boost Reading. First graders using Boost Reading grew 23% more than first graders who didn’t.

We compared students in kindergarten through fifth grade who used Boost Reading during the 2019 fall semester to students from the same district who did not use Boost Reading, using Dynamic Indicators of Basic Early Literacy Skills, 8th Edition (DIBELS® 8th Edition) Composite Scores and Zones of Growth. We found K–5 students who used Boost Reading showed better growth on DIBELS 8th Edition Zones of Growth than those who did not use the product. Additionally, we found that the program was particularly effective for English Language Learners (ELLs). (DIBELS 8th Edition; University of Oregon, 2018)

You can view the study here.

Boost Reading allows younger students to progress through the curriculum along a pathway that best fits their developing abilities. Students are placed into the program based on prior data and the system maintains a rich profile for them as they master each skill level. Boost Reading also provides adaptive support, meaning that the degree of scaffolding, instruction, and practice adapts within each game based on student performance.

Students are served up content that’s appropriate for them within each quest. If a student struggles with a particular content set (3 failed attempts), the set is removed from the quest and presented to the student in a later quest after they’ve had more practice with the prerequisite skills.

When this happens, the teacher dashboard will indicate that the student is “stuck” through the class view and the student view.

If the teacher taps on the student’s name, they can see the specific content that the student struggled with. This allows teachers to provide additional support for the student. The progress bar will go back to green when the student has mastered the content set at a later date.

Classroom use

For younger students

Boost Reading is a supplemental reading curriculum designed to support a student’s development in key early literacy skills through play. The games in Boost Reading are meant to engage students individually on their own unique path. As a result, there are numerous ways you can use Boost Reading with your students.

We recommend you allow students to play for 10–15 minutes per session, 2–3 times a week in some of the following ways:

  • As part of a work station or literacy center
  • During reading blocks or choice time
  • With students not in intervention groups during intervention time
  • During transitions between periods (or at the start or end of school)
  • In a computer lab
  • In after-school programs
  • At home (students may use logins to practice on Boost Reading at home)

For younger students

Students propel the storyline in Boost Reading forward as they take on quests in Bookerton. This narrative is available in both English and Spanish. Students can toggle between the two languages through their settings menu.

In-Game Supports

In addition to the overall narrative, many of the games have features that support ELL students and struggling readers:

  • Many of the games have read-aloud text or are picture-based so that students can work independently, whatever their level of language proficiency.
  • Supports such as cognates are provided for vocabulary words in Boost Reading interactive Reader.
  • Boost Reading has games that cover phonics and phonological awareness, including at the syllable level, to support pre-readers who need robust instruction in these areas.
  • Boost Reading has games that provide explicit language instruction, for example connectives and anaphora, as well as strategy instruction in comprehension monitoring and morphology.
  • Boost Reading’s instructional methods (e.g., providing clear models, multiple opportunities to practice skills, feedback, cumulative review) and the skills and strategies taught in phonics, morphology, and language leverage techniques proven to help ELs learn how to read in English. Coupled with progressing Spanish-language support, Boost Reading ensures that all students can succeed, no matter what their first language is. Read more here.

Technology

Supported Devices and Network Requirements

To ensure that your hardware and network meet the minimum technical requirements for optimal performance and support of Boost Reading please see Amplify’s customer requirements page

List of IP Addresses to Allow

To make sure Boost Reading is accessible at your district, you can add the appropriate URLs to your district’s firewall allowlist. Visit the Amplify Network Access Validator to see the list of URLs and IP addresses.

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Disclaimers

THE SITE, USER CONTENT, THIRD PARTY SERVICES, AND ALL PRODUCTS AND SERVICES SOLD THROUGH THE SITE (COLLECTIVELY, THE “SITE PRODUCTS”) ARE MADE AVAILABLE “AS-IS” AND “AS AVAILABLE” AND COMPANY DOES NOT GUARANTEE OR PROMISE ANY SPECIFIC RESULTS FROM USE OF THE SITE PRODUCTS. COMPANY AND ITS AFFILIATES EXPRESSLY DISCLAIM ANY WARRANTIES AND CONDITIONS OF ANY KIND, WHETHER EXPRESS OR IMPLIED, INCLUDING THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT. IN PARTICULAR, COMPANY AND ITS AFFILIATES MAKE NO WARRANTY THAT THE SITE OR USER CONTENT OR THIRD PARTY SERVICES, OR YOUR ACCESS TO OR USE THEREOF, WILL BE UNINTERRUPTED, TIMELY, SECURE, ERROR-FREE, ACCURATE OR RELIABLE. UNDER NO CIRCUMSTANCES SHALL WE BE LIABLE FOR ANY CONSEQUENCES OF ANY UNAUTHORIZED USE OF THE SITE PRODUCTS THAT VIOLATES ANY APPLICABLE LAW OR REGULATION. CERTAIN STATE LAWS DO NOT ALLOW LIMITATIONS ON IMPLIED WARRANTIES OR THE EXCLUSION OR LIMITATION OF CERTAIN DAMAGES. IF THESE LAWS APPLY TO YOU, SOME OR ALL OF THE ABOVE DISCLAIMERS, EXCLUSIONS, OR LIMITATIONS MAY NOT APPLY TO YOU, AND YOU MIGHT HAVE ADDITIONAL RIGHTS.

Under no circumstances will Company or its affiliates be responsible for any loss or damage, including property damage, personal injury or death, resulting from use of the Site, Products, problems or technical malfunction in connection with use of the Site, Products, attendance at any Company event or the conduct of any Site users, whether online or offline. Your use of the Site, Products is solely your responsibility and at your own risk. The User Content and Third Party Services do not necessarily reflect the opinions or policies of Company or its affiliates.

Limitations on liability

IN NO EVENT WILL COMPANY OR ITS AFFILIATES BE LIABLE TO YOU OR ANY THIRD PARTY FOR ANY INDIRECT, CONSEQUENTIAL, EXEMPLARY, INCIDENTAL, SPECIAL OR PUNITIVE DAMAGES, INCLUDING LOST PROFIT DAMAGES, ARISING FROM YOUR USE OF THE SITE PRODUCTS, EVEN IF COMPANY OR ONE OF ITS AFFILIATES HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. NOTWITHSTANDING ANYTHING TO THE CONTRARY CONTAINED HEREIN, THE TOTAL LIABILITY OF COMPANY AND ITS AFFILIATES TO YOU FOR ANY CAUSE WHATSOEVER AND REGARDLESS OF THE FORM OF THE ACTION, WILL AT ALL TIMES BE LIMITED TO THE AMOUNT PAID, IF ANY, BY YOU TO COMPANY FOR THE SITE PRODUCTS.

Indemnity

You agree to indemnify and hold harmless Company, its affiliates, subcontractors and other partners, and each of their respective officers, agents, partners and employees, from any losses, costs, expenses (including reasonable attorneys’ fees), liabilities, claims or demands, due to or arising out of your use of the Site, your breach or alleged breach of this Agreement, your violation or alleged violation of any rights of another, or any Content that you post or otherwise submit on, through or in connection with the Site.

Termination

This Agreement remains in full force and effect while you access or use the Site. If you create an Account, you may terminate your Account at any time, for any reason, by contacting us at general@amplify.com. Company may terminate or suspend your Account and/or your access to or use of the Site at any time, for any or no reason, with or without prior notice or explanation, and without liability. Upon any such suspension or termination, your right to access and use the Site will immediately cease, and Company may immediately deactivate or delete your Account and all files and other information associated with it, and/or bar any further access to such files and other information. Company shall not be liable to you or any third party for any suspension or termination of your Account or of access to or use of the Site or any such files or other information, and shall not be required to make such files and other information available to you after any such suspension or termination. Sections 2, 5, 13, 17, 18, 19, 22, and 26 shall survive any expiration or termination of this Agreement.

U.S. export controls

All software made available in connection with the Site (“Software”) may be subject to United States export controls. No Software may be downloaded from or through the Site or otherwise exported or re-exported in violation of U.S. export laws.

Governing law

The terms of this Agreement are governed by the laws of the State of New York, U.S.A., without regard to its conflicts of law provisions, and regardless of your location.

Arbitration

EXCEPT FOR DISPUTES THAT QUALIFY FOR SMALL CLAIMS COURT, ALL DISPUTES ARISING OUT OF OR RELATED TO THIS AGREEMENT, WHETHER BASED IN CONTRACT, TORT, STATUTE, FRAUD, MISREPRESENTATION OR ANY OTHER LEGAL THEORY, WILL BE RESOLVED THROUGH FINAL AND BINDING ARBITRATION BEFORE A NEUTRAL ARBITRATOR INSTEAD OF IN A COURT BY A JUDGE OR JURY, AND YOU AGREE THAT COMPANY AND YOU ARE EACH WAIVING THE RIGHT TO TRIAL BY A JURY. YOU AGREE THAT ANY ARBITRATION UNDER THIS AGREEMENT WILL TAKE PLACE ON AN INDIVIDUAL BASIS; CLASS ARBITRATIONS AND CLASS ACTIONS ARE NOT PERMITTED AND YOU ARE AGREEING TO GIVE UP THE ABILITY TO PARTICIPATE IN A CLASS ACTION.

Arbitration procedure

Any arbitration under Section 23 above will be administered by the American Arbitration Association under its Commercial Arbitration Rules and Supplementary Procedures for Consumer-Related Disputes (“Supplementary Procedures”), as amended by this Agreement. The Supplementary Procedures are available online at http://www.adr.org/aaa/ShowPDF?doc=ADRSTG_015820. The arbitrator will conduct hearings, if any, by teleconference or videoconference, rather than by personal appearances, unless the arbitrator determines upon request by you or by us that an in-person hearing is appropriate. Any in-person appearances will be held at a location which is reasonably convenient to both parties with due consideration of their ability to travel and other pertinent circumstances. If the parties are unable to agree on a location, such determination should be made by the AAA or by the arbitrator. The arbitrator’s decision will follow the terms of this Agreement and will be final and binding. The arbitrator will have authority to award temporary, interim or permanent injunctive relief or relief providing for specific performance of this Agreement, but only to the extent necessary to provide relief warranted by the individual claim before the arbitrator. The award rendered by the arbitrator may be confirmed and enforced in any court having jurisdiction thereof. Notwithstanding any of the foregoing, nothing in this Agreement will preclude you from bringing issues to the attention of federal, state, or local agencies, and, if the law allows, they can seek relief against us for you.

Employment opportunities

Company may, from time to time, post Company employment opportunities on the Site and/or invite users to submit resumes to Company. If you choose to submit your name, contact information, resume and/or other personal information to Company in response to such employment listings, you are authorizing Company to use this information for all lawful and legitimate hiring, employment and other business purposes. Company also reserves the right, at its discretion, to forward such information to Company’s affiliates for their legitimate business purposes. Nothing in this Agreement or contained on the Site will constitute a promise by Company to review any such information, or to contact, interview, hire or employ any individual who submits such information.

The Digital Millennium Copyright Act of 1998 (“DMCA”) provides recourse for copyright owners who believe that material appearing on the Internet infringes their rights under U.S. copyright law. If you believe that any material residing on or linked to from the Site infringes your copyright, please send (or have your agent send) to Company’s Copyright Agent a notification of claimed infringement with all of the following information: (a) identification of the copyrighted work claimed to have been infringed, or, if multiple copyrighted works are covered by a single notification, a representative list of such works; (b) identification of the claimed infringing material and information reasonably sufficient to permit us to locate the material on the Site (such as the URL(s) of the claimed infringing material); (c) information reasonably sufficient to permit us to contact you, such as an address, telephone number, and, if available, an e-mail address; (d) a statement by you that you have a good-faith belief that the disputed use is not authorized by the copyright owner, the copyright owner’s agent or the law; (e) a statement by you that the above information in your notification is accurate and a statement by you, made under penalty of perjury, that you are the owner of an exclusive right that is allegedly infringed or are authorized to act on such owner’s behalf; and (f) your physical or electronic signature. Company’s Copyright Agent for notification of claimed infringement can be reached as follows: Copyright Agent, Amplify Education, Inc., 55 Washington Street, Brooklyn, NY 11201; Facsimile: 212-796-2311; Attn: Legal. Company’s Copyright Agent for notification of claimed infringement can also be reached electronically at: legal@amplify.com. Company reserves the right to terminate infringers’ and suspected infringers’ Accounts or their access to or use of the Site.

Notice for California residents

Under California Civil Code Section 1789.3, California users are entitled to the following consumer rights notice: If you have a question or complaint regarding the Site, please contact us by writing to Amplify Education, Inc., 55 Washington Street, Brooklyn, NY 11201 or by calling us at 212–213–8177 or sending a fax to 212–796–2311. California residents may reach the Complaint Assistance Unit of the Division of Consumer Services of the California Department of Consumer Affairs by mail at 1625 North Market Blvd., Sacramento, CA 95834, or by telephone at (916) 445–1254 or (800) 952–5210.

Other terms

This Agreement does not, and shall not be construed to, create any partnership, joint venture, employer-employee, agency or franchisor-franchisee relationship between you and Company. You may not assign, transfer or sublicense any or all of your rights or obligations under this Agreement without our express prior written consent. We may assign, transfer or sublicense any or all of our rights or obligations under this Agreement without restriction. The failure of Company to exercise or enforce any right or provision of this Agreement will not operate as a waiver of such right or provision. The Section titles in this Agreement are for convenience only and have no legal or contractual effect. References to and mentions of the word “include,” “includes,” “including,” or “e.g.” will mean “including, without limitation.” References to “discretion” will mean “sole discretion.” This Agreement operates to the fullest extent permissible by law. If any provision of this Agreement is unlawful, void or unenforceable, that provision is deemed severable from this Agreement and does not affect the validity or enforceability of any remaining provisions. Without limitation, you agree that a printed version of this Agreement and of any notice given in electronic form shall be admissible in judicial or administrative proceedings based upon or relating to this Agreement to the same extent and subject to the same conditions as other business documents and records originally generated and maintained in printed form. Company will not be responsible for failures to fulfill any obligations due to causes beyond its control.

Please contact us at legal@amplify.com with any questions regarding this Agreement.

Acceptable Use Policy

Amplify Education, Inc. (“Amplify”) products support classroom instruction and learning and include Amplify CKLA, Amplify ELA, Amplify Science, Amplify Desmos Math, Desmos Math, Boost Reading, Boost Math, mCLASS, Mathigon, services at classroom.amplify.com (for creating and assigning activities) and student.amplify.com (for use of the activities or curricula as directed by an instructor), and any other product or service that links to this Acceptable Use Policy (together, the “Products”). This Acceptable Use Policy (the “AUP”) provides the general terms and conditions applicable to your use of the Products. By accessing, downloading, or using the Products, you agree to be bound by the terms of this AUP. 

Notwithstanding the foregoing, nothing in this AUP supersedes or limits your rights under the terms of any other agreement you or your institution have entered into with Amplify regarding the use of Products. In the event of any conflict between the AUP and the terms and conditions of an applicable agreement that you or your institution have entered into with Amplify, the terms and conditions of such agreement shall control.

Our Products are geared towards K–12 students, educators, and staff who use the Products as authorized by their School District or State Agency (each as defined in the Privacy Policy (defined below), and together, “School”) (“Authorized School Users”). Student Data (defined below) is owned and controlled by the School, and Amplify receives Student Data as a “school official” under Section 99.31 of the Family Educational Rights and Privacy Act of 1974 (“FERPA”) for the purpose of providing the Products hereunder. In addition, we rely on the School acknowledging that it is acting as the parent’s agent and consenting on the parent’s behalf to process personal information of students under the age of 13 (“Child Users”) in accordance with the Children’s Online Privacy Protection Act (“COPPA”). 

Schools may provide authorization in two ways: 

(1) by the School agreeing to our Customer Terms and Conditions located at amplify.com/customer-terms or another agreement between Amplify and the School, as applicable; or 

(2) by an educator, staff member, or agent of a School (“Educator”) agreeing to this AUP. If you are an Educator and wish to use the Products in your classroom, you represent and warrant that the use of the Products in your classroom has been authorized by your School, and that you are authorized to accept this AUP on behalf of the School.

In each case, we provide these Products solely for the benefit of the School and for no other commercial purpose. We require all Schools to review our Privacy Policy, available at amplify.com/customer-privacy (“Privacy Policy”), and to make a copy of the Privacy Policy available to the parents or guardians of Child Users.

We also provide limited opportunities for individual users to sign up for a restricted account for at-home use of our Products (together, with Authorized School Users, “Authorized Users”). Please see Additional terms for Mathigon and Amplify Classroom accounts (Section 18) for additional information.

1. License

Subject to compliance with this AUP, you are granted a non-transferable, non-exclusive, non-sublicensable license to access and use the Products. You understand that your use of the Products does not confer to you any intellectual property rights held by Amplify or its licensors. Unless otherwise indicated, any future release, update, or other addition to functionality or content of the Products will be subject to this AUP. 

2. Restrictions

You may access and use the Products solely for non-commercial instructional and administrative purposes. Guidelines for such purposes may be set forth at http://amplify.com/amplify-program-usage-guidelines and additional guidelines may be detailed in materials associated with the Product You are accessing. Further, You may not, except as expressly authorized by Amplify: (a) copy, modify, translate, distribute, disclose, or create derivative works based on the contents of, sell, or otherwise exploit, the Products, or any part thereof; (b) decompile, disassemble, reverse engineer the Products, or otherwise use the Products to develop functionally similar products or services; (c) modify, alter, or delete any of the copyright, trademark, or other proprietary notices in or on the Products; (d) rent, lease, or lend the Products or use the Products for the benefit of any third party; (e) avoid, circumvent, or disable any security or digital rights management device, procedure, protocol, or mechanism in the Products; (f) use any content from the Products, including but not limited to text, images, videos, assessments, lesson plans, or code, as input or training material for any machine learning or artificial intelligence system, including large language models, neural networks, or other algorithmic models, for any purposes, commercial or non-commercial; or (g) permit any Authorized User or third party to do any of the foregoing. You also agree that any works created in violation of this section are derivative works, and, as such, You agree to assign, and hereby assign, all right, title, and interest in such works to Amplify. The Products and derivatives thereof may be subject to export control laws, restrictions, regulations, and orders of the U.S. and other jurisdictions (together, “Export Laws”). You agree to comply with all applicable Export Laws, and will not, and will not permit Authorized Users to, export, or transfer for the purpose of re-export, any Product to any prohibited or embargoed country in violation of any U.S. export law or regulation. Further, You represent that You are not located in a country that is subject to a U.S. Government embargo, subject to sanctions by the U.S. Office of Foreign Assets Control, or included on any restricted party list maintained by the U.S. Bureau of Industry and Security. The software and associated documentation portions of the Products are “commercial items” (as defined at 48 CFR 2.101), comprising “commercial computer software” and “commercial computer software documentation,” as those terms are used in 48 CFR 12.212. Accordingly, if You are associated with the U.S. Government or its contractor, You will receive only those rights set forth in this Agreement in accordance with 48 CFR 227.7201-227.7204 (for Department of Defense and their contractors) or 48 CFR 12.212 (for other U.S. Government licensees and their contractors).

3. Use of the products

In connection with your access to and use of the Products, you agree not to: (a) post, upload, or otherwise transmit or link to content that is: unlawful; threatening; harmful; abusive; pornographic or includes nudity; offensive; harassing; excessively violent; tortious; defamatory; false or misleading; obscene; vulgar; libelous; hateful; or discriminatory; (b) violate the rights of others, including patent, trademark, trade secret, copyright, privacy, publicity, contract, or other proprietary rights; (c) harass or harm another person; (d) exploit or endanger a minor; (e) impersonate any person or entity; (f) introduce or engage in activity that involves the use of viruses, bots, worms, Trojan horses, time bombs, spyware, or any other computer code, files, or programs that interrupt, destroy, or limit the functionality of any computer software or hardware or telecommunications equipment, or otherwise permit the unauthorized access to or use of a computer or a computer network; (g) interfere with, damage, disable, disrupt, impair, create an undue burden on, or gain unauthorized access to the Products or any account (as defined below), or Amplify’s servers or networks; (h) restrict or inhibit any other person from using the Products (including by hacking or defacing the Products); (i) remove, disable, block, or obscure any portion of the Products; (j) use technology or any automated system, such as scripts or bots, to collect user names, passwords, email addresses, or any other data from or through the Products, or to circumvent or modify any security technology or software that is part of the Products; (k) send or cause to send (directly or indirectly) unsolicited bulk messages or other unsolicited bulk communications of any kind through the Products; (l) solicit, collect, or request any information for commercial or unlawful purposes; (m) post, upload, or otherwise transmit an image, audio recording, or video of another person without that person’s consent; (n) use the Products to advertise, promote, or engage in any commercial activity (including engaging in advertising, sales, contests, sweepstakes, or other promotions) without Amplify’s prior written consent; (o) frame or mirror the Products without Amplify’s express prior written consent; (p) use the Products in a manner inconsistent with any applicable law, rule, or regulation; (q) use any robot, spider, search/retrieval application, or other manual or automatic device to retrieve, index, “scrape,” “data mine,” or in any way gather content of the Products or reproduce or circumvent the navigational structure or presentation of the Products; (r) attempt, facilitate, or encourage others to do any of the foregoing. In addition to the foregoing restrictions, your use of the Products may also be subject to an additional acceptable use policy provided to you by your School, as applicable. You are responsible for meeting the hardware, software, telecommunications, and other requirements listed at amplify.com/customer-requirements.

4. Intellectual property

The Products and any Product logo, and certain other of the names, logos, and materials displayed in the Products, may constitute trademarks, trade names, or service marks (“Marks”) of Amplify or other entities. You are not authorized to use any such Marks. Ownership of all such Marks and the goodwill associated therewith remains with Amplify or those other entities. The content provided to you in the Products, including the software, graphs, text, and graphics, is protected under copyright laws, is subject to other intellectual property and proprietary rights and laws, and is owned by Amplify or its licensors. Your access to the Products does not transfer to you or any third party any rights, title, or interest in or to such intellectual property rights. You may not use the content of the Products, in whole or in part, to train or fine-tune any machine learning or artificial intelligence model or system, including for research, product development, commercial services, or any other purpose, commercial or non-commercial. Such use constitutes unauthorized derivative work and a violation of Amplify’s intellectual property rights. Your rights to make use of the Products are limited to those provided under this AUP, any additional terms as may be agreed upon between your School and Amplify, and any available exceptions under applicable intellectual property laws. Amplify Products are protected by patents (see amplify.com/virtual-patent-marking).

5. Account information

Your authentication to enable your access and use of these Products is based in part upon information supplied by you. You are required to (a) provide accurate information to Amplify and promptly report any changes to such information, (b) not share or allow others to use your account, (c) maintain the confidentiality and security of your account information, and (d) use the Products solely via such authorized accounts. You may not share your credentials (i.e., username and password) to access the Products with anyone except the person for whom that account was created. You agree to notify Amplify immediately of any unauthorized use of your account or related authentication information. Amplify will not be responsible for any losses arising out of the unauthorized use of your account.

6. Student data

The parties acknowledge and agree that in the course of providing the Products, Amplify may collect, receive, or generate information that directly relates to an identifiable current or former student of a School (“Student Data”). Student Data may include personal information from a student’s “educational records,” as defined by FERPA. Student Data is owned and controlled by the School and Amplify receives Student Data as a “school official” under Section 99.31 of FERPA for the purpose of providing the Products hereunder. Individually and collectively, Amplify and School agree to uphold our obligations, as applicable, under FERPA, COPPA, the Protection of Pupil Rights Amendment (“PPRA”), and applicable state laws relating to Student Data privacy. Amplify’s Privacy Policy governs the collection, use, and disclosure of Student Data collected or stored on behalf of the School under this AUP. The School is responsible for providing notice or obtaining appropriate consents under applicable laws to authorize Authorized School Users’ use of the Products, including making a copy of the Privacy Policy available to the parents or guardians of Child Users. Please see Additional Terms for Mathigon and Amplify Classroom accounts (Section 18) for additional information.

7. Confidentiality

You acknowledge that in connection with these terms, Amplify may provide you with certain sensitive or proprietary information (“Confidential Information”), including software, source code, assessment instruments, research, designs, methods, processes, customer lists, training materials, product documentation, know-how, or trade secrets, in whatever form. You agree (a) not to use Confidential Information for any purpose other than use of the Products in accordance with the AUP, and (b) to take all steps reasonably necessary to maintain and protect the Confidential Information of Amplify in strict confidence. Confidential Information shall not include information that, as evidenced by your contemporaneous written records: (i) is or becomes publicly available through no fault of your own; (ii) is rightfully known to you prior to the time of its disclosure; (iii) has been independently developed by you without any use of the Confidential Information; or (iv) is subsequently learned from a third party not under any confidentiality obligation.  

8. User materials

You represent, warrant, and covenant that you have all the necessary rights, including consents and intellectual property rights, in connection with any data, information, content, and other materials provided to or collected by Amplify from you or on your behalf in connection with your use of the Products, including materials and content that you post, upload, transmit, email, or otherwise make available on, through, or in connection with the Products (“User Materials”), and that except as otherwise agreed by your School and Amplify, you retain any ownership rights that you have in your User Materials. You hereby grant to Amplify and its affiliates, licensees, and authorized users, a perpetual, non-exclusive, fully paid-up, royalty-free, sublicensable (through multiple tiers), transferable (in whole or in part), worldwide license to use, modify, excerpt, adapt, create derivative works and compilations based upon, publicly perform, publicly display, reproduce, and distribute such User Materials in connection with the Products, subject to Amplify’s Privacy Policy. You and your School are responsible for the accuracy, integrity, completeness, quality, legality, and safety of such User Materials. You further represent and warrant that the posting of such User Materials through or in connection with the Products does not violate the privacy rights, publicity rights, copyrights, contract rights, or any other rights of any person or entity. Amplify and your School reserve the right (but have no obligation) to monitor the Products, including for inappropriate content or conduct, and to remove any content in their discretion without liability to you or any third party. Further, Amplify reserves the right to investigate and take appropriate legal action against anyone who, in Amplify’s discretion, violates this AUP or attempts to do so, including terminating or suspending a user’s account or access to or use of the Products, or reporting any content or conduct to law enforcement authorities. You are solely responsible for creating and maintaining your own backup copies of your User Materials. Amplify is not responsible for any loss, theft, or damage of any kind to any User Materials. 

9. Feedback

If you provide us with any ideas, proposals, or suggestions related to the Products (“Feedback”), you hereby acknowledge and agree that your provision of any Feedback is gratuitous, unsolicited, and without restriction, and does not place Amplify under any fiduciary or other obligation. You hereby grant to Amplify a worldwide, royalty-free, fully paid-up, exclusive, perpetual, irrevocable, transferable, and fully sublicensable (through multiple tiers) license to reproduce, distribute, perform and/or display (publicly or otherwise), adapt, modify, and otherwise use such Feedback, in any format or media now known or hereafter developed, and you hereby represent and warrant that you have all necessary rights to grant the foregoing license.

10. Third party links and services

The Products may make available, or third parties may provide, links to websites, software, applications, resources, advertisements, content, or other products or services created, hosted, or made available by third parties (“Third Party Services”). When you access or use a Third-Party Service, you are interacting with the applicable third party, not with Amplify, and you do so at your own risk. Inclusion of any Third-Party Service or a link thereto within the Products does not imply approval or endorsement of such Third-Party Service. Amplify does not control any content that is not Amplify content, and as such, you may be exposed to offensive, indecent, inaccurate, or otherwise objectionable content in the course of accessing or using such Third-Party Services linked from the Products. You are solely responsible for your interactions with other users of the Products, providers of Third-Party Services, and any other third parties with whom you interact on, through, or in connection with the Products. AMPLIFY IS NEITHER RESPONSIBLE NOR LIABLE FOR ANY THIRD-PARTY SERVICES, INCLUDING THE ACCURACY, INTEGRITY, COMPLETENESS, QUALITY, LEGALITY, USEFULNESS, OR SAFETY OF, OR INTELLECTUAL PROPERTY RIGHTS RELATING TO, SUCH THIRD-PARTY SERVICES. ANY ACCESS TO OR USE OF SUCH THIRD-PARTY SERVICES MAY BE SUBJECT TO THE TERMS AND CONDITIONS AND INFORMATION COLLECTION, USAGE, AND DISCLOSURE PRACTICES OF THIRD PARTIES. THIS AUP DOES NOT CREATE ANY RELATIONSHIP BETWEEN YOU AND ANY PROVIDER OF THIRD-PARTY SERVICES, AND NOTHING IN THIS AUP WILL BE DEEMED TO BE A REPRESENTATION OR WARRANTY BY AMPLIFY WITH RESPECT TO ANY THIRD-PARTY SERVICE.

11. Digital Millennium Copyright Act

The Digital Millennium Copyright Act of 1998 (“DMCA”) provides recourse for copyright owners who believe that material appearing on the Internet infringes their rights under U.S. copyright law. If you believe that any material residing on or linked to from the Products infringes your copyright, please send (or have your agent send) to Amplify’s Copyright Agent, by email, fax, or regular mail, a written notification of claimed infringement with all of the following information: (a) identification of the copyrighted work claimed to have been infringed, or, if multiple copyrighted works are covered by a single notification, a representative list of such works; (b) identification of the claimed infringing material and information reasonably sufficient to permit us to locate the material on the Products (such as the URL(s) of the claimed infringing material); (c) information reasonably sufficient to permit us to contact you, such as an address, telephone number, and, if available, an e-mail address; (d) a statement by you that you have a good-faith belief that the disputed use is not authorized by the copyright owner, the copyright owner’s agent or the law; (e) a statement by you that the above information in your notification is accurate, and a statement by you, made under penalty of perjury, that you are the owner of an exclusive right that is allegedly infringed, or that you are authorized to act on such owner’s behalf; and (f) your physical or electronic signature. Amplify’s Copyright Agent for notification of claimed infringement can be reached as follows: Amplify Education, Inc., 55 Washington Street #800, Brooklyn NY 11201; Attn: Copyright Agent. Amplify’s Copyright Agent for notification of claimed infringement can also be reached electronically at legal@amplify.com. Amplify reserves the right to terminate infringers’ and suspected infringers’ accounts or their access to or use of the Products.

12. Changes to the products

Amplify may, without prior notice, change any Product or stop providing any features of any Product. We may permanently or temporarily terminate or suspend your access to any Product features without notice for any reason, including if in our sole determination you violate any provision of this AUP. Upon termination, you continue to be bound by this AUP.

13. Warranty disclaimer

PRODUCTS ARE PROVIDED “AS IS” AND WITHOUT WARRANTY OF ANY KIND BY AMPLIFY. AMPLIFY EXPRESSLY DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING ANY WARRANTY AS TO TITLE, NON-INFRINGEMENT, MERCHANTABILITY, OR FITNESS FOR A PARTICULAR PURPOSE OR USE. YOU ASSUME RESPONSIBILITY FOR SELECTING THE PRODUCTS TO ACHIEVE YOUR INTENDED RESULTS AND FOR THE ACCESS AND USE OF THE PRODUCTS, INCLUDING THE RESULTS OBTAINED FROM THE PRODUCTS. WITHOUT LIMITING THE FOREGOING, AMPLIFY MAKES NO WARRANTY THAT THE PRODUCTS WILL BE ERROR-FREE OR FREE FROM INTERRUPTIONS OR OTHER FAILURES OR WILL MEET YOUR REQUIREMENTS. AMPLIFY IS NEITHER RESPONSIBLE NOR LIABLE FOR ANY THIRD-PARTY CONTENT OR SOFTWARE INCLUDED IN PRODUCTS, INCLUDING THE ACCURACY, INTEGRITY, COMPLETENESS, QUALITY, LEGALITY, USEFULNESS, OR SAFETY OF, OR IP RIGHTS RELATING TO, SUCH THIRD-PARTY CONTENT AND SOFTWARE. ANY ACCESS TO OR USE OF SUCH THIRD-PARTY CONTENT AND SOFTWARE MAY BE SUBJECT TO THE TERMS AND CONDITIONS AND INFORMATION COLLECTION, USAGE, AND DISCLOSURE PRACTICES OF THIRD PARTIES.

14. Limitation of liability

IN NO EVENT WILL AMPLIFY BE LIABLE TO YOU FOR ANY INCIDENTAL, SPECIAL, CONSEQUENTIAL, PUNITIVE, RELIANCE, OR COVER DAMAGES, DAMAGES FOR LOST PROFITS, LOST DATA, LOST BUSINESS, OR ANY OTHER INDIRECT DAMAGES, EVEN IF AMPLIFY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. TO THE EXTENT PERMITTED BY APPLICABLE LAW, AMPLIFY’S ENTIRE LIABILITY TO YOU ARISING OUT OF PERFORMANCE OR NONPERFORMANCE BY AMPLIFY OR IN ANY WAY RELATED TO THE SUBJECT MATTER OF THIS AUP, REGARDLESS OF WHETHER THE CLAIM FOR SUCH DAMAGES IS BASED IN CONTRACT, TORT, STRICT LIABILITY, OR OTHERWISE, WILL NOT EXCEED $100 IN AGGREGATE. UNDER NO CIRCUMSTANCES WILL AMPLIFY BE LIABLE FOR ANY CONSEQUENCES OF ANY UNAUTHORIZED USE OF THE PRODUCTS THAT VIOLATES THIS AUP OR ANY APPLICABLE LAW OR REGULATION.

15. Termination

Amplify may terminate or suspend your access to the Products at any time for any reason, including if Amplify believes that you have violated the AUP or have engaged in conduct that violates applicable law or is otherwise harmful to the interests of Amplify, any other Amplify user, or any third party. Upon termination, you will: cease using the Products and return, purge, or destroy all copies of any Products and, if so requested, certify to Amplify in writing that such surrender or destruction has occurred. Sections 3–13, 16, and 17 will survive the termination of this Agreement.

16. Governing Law

This Agreement will be governed by and construed and enforced in accordance with the laws of the U.S., state of New York, without giving effect to the choice of law rules thereof.

17. Additional terms for iOS apps

By downloading any Products through Apple, Inc.’s App Store (“iOS Products”), you agree that the following additional terms apply to your use of our iOS Products:

  1. This AUP is not a legal agreement with Apple, Inc. (“Apple”). As between Amplify and Apple, Amplify (not Apple) is responsible for the iOS Products and the contents thereof.
  2. The license to use the iOS Products under Section 3 above is limited to use (i) on iOS devices that you or your School owns or controls, separate from and in addition to any specific technical requirements for any iOS Product, and (ii) as permitted by the Usage Rules set forth in Apple Media Services Terms and Conditions.
  3. You must comply with applicable third-party terms of agreement when using the Products.
  4. Without limiting Section 13 above and solely as between Amplify and Apple, you acknowledge that: (i) Apple has no obligation whatsoever to furnish any maintenance and support services with respect to the iOS Products; (ii) Amplify (not Apple) is responsible for addressing any claims of yours or of any third party relating to the iOS Products or your possession and/or use of the iOS products, including but not limited to (1) product liability claims, (2) any claim that the iOS Products fail to conform to any applicable legal or regulatory requirement, and (3) claims arising under consumer protection, privacy, or similar legislation; (iii) in the event of any failure of the iOS Products to conform to any applicable warranty, you may notify Apple, and Apple will refund the purchase price for the iOS Products to you; to the maximum extent permitted by applicable law, Apple will have no other warranty obligation whatsoever with respect to the iOS Products, and any other claims, losses, liabilities, damages, costs, or expenses attributable to any failure to conform to any warranty will be Amplify’s sole responsibility; and (iv) in the event of any third-party claim that the iOS Products or your possession and use of the iOS Products infringes that third party’s intellectual property rights, Amplify (not Apple) will be responsible for any investigation, defense, settlement, and discharge of any such intellectual property infringement claim.
  5. You represent and warrant that: (i) you are not located in a country that is subject to a U.S. Government embargo, or that has been designated by the U.S. Government as a “terrorist supporting” country; and (ii) you are not listed on any U.S. Government list of prohibited or restricted parties.
  6. Apple and Apple’s subsidiaries are third-party beneficiaries of these Terms, and upon your acceptance of these Terms, Apple will have the right (and will be deemed to have accepted the right) to enforce these Terms against you as a third-party beneficiary thereof.
  7.  Any questions, complaints, or claims with respect to the Products should be directed to: 

Email: privacy@amplify.comMail: Amplify Education, Inc., 55 Washington St. #800, Brooklyn, NY, 11201

18. Additional terms for Mathigon and Amplify Classroom accounts.

a. Mathigon updates: Amplify no longer offers accounts for Child Users, but we will continue to allow Child Users to access their active legacy Mathigon accounts where verifiable parental consent was obtained. We will continue to protect personal information in accordance with the Privacy Policy and applicable law.

b. Mathigon and Amplify Classroom:

i. School Use:

  1. Educators: If you are an Educator, you can create a Mathigon or an Amplify Classroom account using any existing email or through an existing third-party account (e.g. Google, Microsoft). Go to https://mathigon.org/signup#teacher  to sign up for Mathigon. Go to classroom.amplify.com to sign up for Amplify Classroom.
  2. Students can also sign up using a unique class code provided by an Educator. Educators are responsible for gaining appropriate authorization or permission from their School to use the Products with students, including Child Users, before providing their unique class code or linking the Products to a third-party service like Google Classroom. For such use in the school context, we do not request additional consent from parents in accordance with the “school official” exception under FERPA and relevant COPPA guidance. For more information, visit our Privacy Policy, which describes how we collect, use, and disclose personal information and data through the provision of our Products in schools. 

ii. Outside of School Use: If you are an individual user using the Products at home or otherwise outside of the school context, you are prohibited from collecting or providing any personal information from students or minors. You are permitted to access the platform for instructional purposes, but you may not enroll or roster minors, create accounts for minors, or input any personal information of minors into the Product.

19. Updates to this policy

We may change this Acceptable Use Policy in the future. For example, we may update it to address changes in our product offerings, or to address changes in the law or best practices. If we make changes that materially impact your legal rights or use of our products, we will provide prominent notification to you (e.g. via the Site or by email).  Otherwise, we will post any updates to the policy with an updated “Last Revised Date” and all changes will become effective immediately. Please check the Last Revised Date to confirm if the policy has been revised.

Last Modified: February 2, 2026

Prepare Professional Development (PD)

Learning experiences to prepare for literacy and math instructional shifts

The following literacy and math sessions can help any educator—regardless of the program used—enhance their instructional practices.

  • Science of Reading sessions offering research-backed strategies to deepen understanding and improve student outcomes.
  • Problem-based approach to math sessions that empower educators to facilitate meaningful learning experiences and develop critical thinking skills.
  • Multiliterate learner sessions enable educators to make a meaningful impact on students’ literacy development.
Two women are seated at a table with laptops and papers, engaging in a discussion about program implementation in a classroom or meeting setting.

Professional learning journey

Four connected circular icons illustrating a business process: idea generation, planning, execution, and achievement, depicted with relevant symbols.
Prepare Begin Practice Advance
Learning sessions will help shift literacy and math instruction in areas such as the Science of Reading and/or problem-based approaches to math. Program-aligned packages will support those who are new to Amplify programs. Program-aligned packages will support those who have experience using Amplify programs. Offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.
“Gain the literacy knowledge and skills you need to thrive and help your students thrive. Through these sessions, you’ll understand typical literacy development and how to describe and address literacy difficulties.”

—Susan Lambert, Chief Academic Officer, Elementary Humanities

Host, Science of Reading: The Podcast

Science of Reading learning experiences

Listening to students read is magic. But knowing how to get them reading? That’s science.

Making the shift to the Science of Reading is no small feat, but participating in professional development sessions can help you make this change seamlessly.

Amplify Science of Reading sessions offer flexible, professional learning experiences for teachers that incorporate engaging activities grounded in what science tells us about literacy development.

Two women smiling and looking at a laptop in a classroom. One woman is wearing a striped shirt and the other a black top. Classroom decor is visible in the background.

Build your knowledge of the Science of Reading

Virtual | 90-minute session

This introductory session provides educators with a foundational overview of what the Science of Reading means and what it tells us about how to teach using evidence-based reading practices.

Participants will learn to:

  • Define the Science of Reading by examining evidence-based research.
  • Explain how two frameworks, the Simple View of Reading and the Reading Rope, work in tandem to guide effective literacy instruction.
  • Identify instructional principles aligned to the Science of Reading.
Three people stand in front of a whiteboard with colorful sticky notes, engaging in professional development for teachers as they discuss ideas and collaborate using a tablet and a laptop.

Deepen your knowledge of the Science of Reading

On-site or virtual | 3-hour session

This session will build a base of common knowledge about the Reading Rope and support educators in identifying effective instruction grounded in the Science of Reading.

Participants will learn to:

  • Identify the strands in the Reading Rope.
  • Describe how each strand plays an important role in developing skilled readers and writers.
  • Identify key look-fors in effective Science of Reading instruction.

Science of Reading: The Learning Lab online course

This series of three self-paced online courses, crafted by literacy expert Susan Lambert and built around International Dyslexia Association (IDA) Knowledge and Practice Standards, guides you through the essential Science of Reading skills and knowledge needed to teach students to read proficiently, as well as advanced strategies for aiding struggling readers. Each course builds on the last, equipping you with the tools and confidence to make a lasting impact on your students’ literacy journeys.

Benefit from flexible learning on an interactive platform spanning 20–25 hours of instruction. Each course is accessible for 12 months. Upon completion, you’ll be provided with a downloadable certificate, validating your new expertise in the Science of Reading.

A boy kneels and reads a book near stacked books, while a girl stands with folded arms; both observe a mobile with colorful shapes and letters, reflecting elements of classroom instruction inspired by the Science of Reading.

Foundations to the Science of Reading

This course offers a comprehensive overview of research in the field. Each of the eight modules contains three lessons covering the foundations of literacy acquisition.

Explore the scope and sequence of Foundations to the Science of Reading with a  Pacing Guide.

Access the free Preview Pass for this course.

A child points at large outlined letters on a board with a pointer stick, next to a stack of books—capturing an engaging moment in classroom instruction.

Advanced topics in the Science of Reading: Assessment and reading difficulties

The second course is aimed at providing an in-depth examination of assessments, a deeper understanding of reading difficulties, and familiarity with pertinent legal frameworks for educators, all of which influence instructional decision-making.

Explore the scope and sequence of Advanced topics in the Science of Reading with our Pacing Guide

Access the free Preview Pass for this course.

Three people in lab coats stand around a lab table with test tubes and a flask, engaging in classroom instruction as they discuss and gesture to each other.

Coming soon!
Applied structured literacy

The final course in the series is designed to review key concepts and knowledge from previous coursework, explore fundamental aspects of structured literacy within lessons, observe and analyze structured literacy instruction in action, and investigate how data informs instructional decisions.

[Available June 2025]

“Amplify’s Science of Reading online course builds background knowledge on how students read, then goes deeper to give you strategies that correlate with current research that can be implemented into your classroom right away. The course opened my thinking to new ways of teaching and I can’t wait to try it with students! If you want to walk away feeling successful with helping kids read, take this course! ”

Allie Appel

Coach, WI

New

Supporting multiliterate learner sessions

Unlock the magic of teaching multiliterate learners with evidence-based literacy practices. Making the shift to effectively support diverse readers in multiple languages is no small feat, but our professional development sessions are here to guide you effortlessly.

Empower your teaching with these engaging sessions, and make a meaningful impact on your multiliterate students’ literacy development.

Two children are seated at a small table in a classroom. Engaged in classroom instruction, the girl is writing in a notebook while the boy reads a book. Colorful storage bins are visible in the background, enhancing the learning environment

Build your knowledge of multiliterate learners

Virtual | 90-minute session

This session provides educators with a foundational overview of how to teach multiliterate learners using evidence-based literacy practices.

Contact us to request a quote.

A young boy in a striped shirt sits at a desk, focused on writing in a notebook with a pencil. Surrounding him are classroom supplies and papers, exemplifying the effective program implementation strategies from professional learning sessions.

Deepen your knowledge of multiliterate learners

On-site or virtual | 3-hour session

This session will build an understanding of how the brain learns to read in multiple languages, as well as how to leverage cross-linguistic transfer, and align instruction to best practices for multiliterate learners.

Contact us to request a quote.

Problem-based approach to math instruction sessions

Elevate educational experiences by placing students’ ideas at the core of math lessons through problem-based learning. These sessions offer flexible professional learning experiences, allowing you to gain firsthand experience with a problem-based approach as a learner. You then learn to integrate this approach seamlessly into your teaching practices, bringing renewed energy to your math classroom.

A woman sits indoors, smiling while using a tablet. Wearing a blue lanyard and casual clothing, she appears engaged in professional learning; the background shows blurred people and chairs.

Build your knowledge of a problem-based approach

Virtual | 90-minute session

This session provides you with a foundational overview of what an engaging problem-based approach in math entails for K–5 students.

During this session you’ll learn to:

  • Explain how a problem-based approach to math brings delight to both teaching and learning and builds lasting student understanding.
  • Identify actionable strategies for using a problem-based approach in a math classroom.

Contact us to request a quote.

Deepen your knowledge of a problem-based approach

On-site or virtual | 3-hour session

This session provides you with hands-on experience facilitating problem-solving in math, leaving you with an increased understanding of how to teach conceptual understanding, procedural skill and fluency, and applications of math.

During this session you’ll learn to:

  • Explain how a problem-based approach to math brings delight to both teaching and learning and builds lasting student understanding.
  • Identify actionable strategies for using a problem-based approach in a math classroom.
  • Connect your current teaching practice to a problem-based approach, and choose a next step to implement a more problem-based approach.

Contact us to request a quote.

Get in touch with a PD expert

We’re here to provide answers and guidance as you explore your PD options. Fill out the form to connect with us and discover how Amplify PD can enhance your educational journey.

A closer look at grades 3–5

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver age-appropriate, high-quality, literacy-rich instruction that enables students to take on the roles of scientists and engineers to solve real-world phenomena every day.

In the 3–5 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.
Collage of four educational activities: 1) drying a paper model with a hairdryer, 2) two girls observing a science experiment, 3) children making a mixture, 4) adult hand watering a plant in a clear container.
Graphic showing a research process with four steps: spark intrigue with a real-world problem, explore evidence, explain and elaborate, and evaluate claims, connected in a cycle with arrows.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science California to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 3–5 program to address 100% of the California NGSS in just 88 days.

Scope and sequence

Every year of our grades 3–5 sequence consists of 4 units and 88 lessons. Said another way, each unit contains 20 lessons plus two dedicated assessment days (a Pre-Unit Assessment and End-of-Unit Assessment).

Lessons for grades 3–5 are written to last a minimum of 60 minutes, though teachers can expand or contract the timing to meet their needs.

Educational curriculum chart showcasing a progression of amplify science lessons from kindergarten to grade 5, categorized by grade and subject areas like plants, animals, weather, and energy.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also emphasizing a particular science and engineering practice.

In grades 3–5:

  • One unit emphasizes the practice of investigation.
  • One unit emphasizes the practice of modeling.
  • One unit emphasizes the practice of engineering design.
  • One unit emphasizes the practice of argumentation.
Investigation Units

Investigation units focus on the process of strategically developing investigations and gathering data to answer questions. Students are first asked to consider questions about what happens in the natural world and why, and are then involved in designing and conducting investigations that produce data to help answer those questions.

Modeling Units

Modeling units provide extra support to students engaging in the practice of modeling. Students use physical models, investigate with computer models, and create their own diagrams to help them visualize what might be happening on the nanoscale.

Engineering Design Units

Engineering design units provide opportunities for students to solve complex problems by applying science principles to the design of functional solutions, and iteratively testing those solutions to determine how well they meet preset criteria.

Argumentation units

Argumentation units provide students with regular opportunities to explore and discuss available evidence, time and support to consider how evidence may be leveraged in support of claims, and independence that increases as they mount written arguments in support of their claims.

Units at a glance

Una ilustración de un tren de alta velocidad moderno y aerodinámico que viaja por una vía elevada con un paisaje verde de fondo.
Balancing Forces

Domain: Physical Science

Unit type: Modeling

Student role: Engineers

Phenomenon: The town of Faraday is getting a new train that floats above its tracks.  

Download unit guide

Download lesson planner

An illustration from the Inheritance and Traits unit
Inheritance and Traits

Domain: Life Science

Unit type: Investigation

Student role: Wildlife biologists

Phenomenon: An adopted wolf in Graystone National Park (“Wolf 44”) has some traits that appear similar to one wolf pack in the park and other traits that appear to be similar to a different wolf pack. 

Download unit guide

Download lesson planner

An illustration from the Environments and Survival unit
Environments and Survival

Domains: Life Science, Engineering Design

Unit type: Engineering design

Student role: Biomimicry engineers

Phenomenon: Over the last 10 years, a population of grove snails has changed: The number of grove snails with yellow shells has decreased, while the number of snails with banded shells has increased.  

Download unit guide

Download lesson planner

An illustration from the Weather and Climate unit
Weather and Climate

Domains: Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Meteorologists

Phenomenon: Three different islands, each a contender for becoming an Orangutan reserve, experience different weather patterns.  

Download unit guide

Download lesson planner

An illustration from the Energy Conversions unit
Energy Conversions

Domains: Physical Science, Earth and Space Science, Engineering Design

Unit type: Engineering design

Student role: System engineers

Phenomenon: The fictional town of Ergstown experiences frequent blackouts.  

Download unit guide

Download lesson planner

An illustration from the Vision and Light unit
Vision and Light

Domain: Physical Science, Life Science, Engineering Design

Unit type: Investigation

Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.  

Download unit guide

Download lesson planner

An illustration from the Earth's Features unit
Earth’s Features

Domain: Earth and Space Science

Unit type: Argumentation

Student role: Geologists

Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.  

Download unit guide

Download lesson planner

An illustration from the Waves, Energy, and Information unit
Waves, Energy, and Information

Domains: Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Modeling

Student role: Marine scientists

Phenomenon: Mother dolphins in the fictional Blue Bay National Park seem to be communicating with their calves when they are separated at a distance underwater.

Download unit guide

Download lesson planner

An illustration from the Patterns of Earth and Sky unit
Patterns of Earth and Sky

Domains: Physical Science, Earth and Space Science

Unit type: Investigation

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times — the sun during the daytime and different stars during the nighttime — but it is missing a piece.  

Download unit guide

Download lesson planner

An illustration from the Modeling Matter unit
Modeling Matter

Domain: Physical Science

Unit type: Modeling

Student role: Food scientists

Phenomenon: Chromatography is a process for separating mixtures. Some solids dissolve in a salad dressing while others do not. Oil and vinegar appear to separate when mixed in a salad dressing.  

Download unit guide

Download lesson planner

An illustration from the Earth System unit
The Earth System

Domains: Earth and Space Science, Physical Science, Engineering Design

Unit type: Engineering Design

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.  

Download unit guide

Download lesson planner

An illustration from the Ecosystem Restoration unit
Ecosystem Restoration

Domains:Physical Science, Life Science, Earth and Space Science, Engineering Design

Unit type: Argumentation

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing and thriving.  

Download unit guide

Download lesson planner

Puyallup 6–8 Science Review | Amplify

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We are middle school.

Amplify ELA was designed to respond to the distinct opportunities and challenges faced by middle school students and teachers. It was conceived to support middle school students at this critical developmental moment.

The program helps teachers ensure that skills are taught, standards are covered, and the test is prepped—and it does this work in the background so that teachers can spend their time bringing text to life and providing each student the right instruction at the right time. Request a sample to take a closer look.

Illustrated scene with people in various poses, including a person holding a mask and a child looking up at butterflies. Background includes abstract shapes and an outdoor setting.

Overview

A teacher stands in front of a classroom while students, seated at desks with laptops, raise their hands eagerly.

Amplify ELA is a blended curriculum designed for middle school students and teachers. It provides:

  • An engaging digital program with comprehensive print materials, including Teacher Editions, Student Editions, and Writing Journals for grades 6–8.
  • A year’s worth of instruction for each grade.
  • Complex, content-rich literary and informational texts.
  • Differentiation that supports all students with reading complex texts, and an interactive eReader with an array of multimedia tools.
  • Embedded assessments that allow for uninterrupted instructional time.
  • The Amplify Library—a digital collection of more than 650 full-length texts.

Why Amplify?

We designed every Amplify ELA lesson to help teachers teach the essential skills of reading, writing, speaking, and listening, in a classroom where students thrive academically, socially, and emotionally.

We use six proven pedagogical approaches to help teachers build a literate community in every middle school classroom:

Middle school collaboration

1. Critical and collaborative engagement

With Amplify ELA, students engage with learning because they engage with each other. Amplify ELA fosters a classroom community that thrives on a wide range of student observations. The lessons immerse students in interactive close reading activities and cognitively challenging work, and keep them engaged through a variety of collaborative activities.

2. Integrated approach to target all standards

Every lesson requires students to work across multiple learning objectives—reading, writing, speaking, and listening—while focusing on one primary standard. Result: students work with complex texts that demand working across standards, while receiving instruction focused on building a specific skill.

Middle school standards
Middle school texts

3. Text at the center

Amplify puts complex text at the center of every lesson and activity to develop the critical capacities and build the vocabulary, knowledge, and skills students need to succeed in middle school, high school, and beyond. Great texts spark curiosity, reveal layered meanings, reflect a diversity of perspectives and identities, and cultivate meaningful conversation and reflection.

4. Multimodal and strategic technology

Activities harness multiple learning modes, using media tools, digital apps, and a variety of visual and physical experiences to strategically support and enhance student learning.

Middle school engagement
Middle school differentiation

5. High expectations and strong supports

Strong supports built in at all levels give every student a chance to meet the highest possible expectations. Struggling readers, students ready for advanced work, English language learners: all can take on the challenge of rigorous work while data delivery and digital tools allow teachers to ensure progress.

6. Timely feedback and actionable data

Formative assessment measures and targeted feedback tools are embedded in every lesson. Result: teachers can make timely decisions about instructional strategy and provide the guidance students need to thrive as readers and writers.

Middle school assessments

What teachers say

What teachers are saying about Amplify ELA

“It was engaging for students, fun and easy to teach, and led to deeper discussions and written responses than I have seen in a long time! The embedded differentiation helped ensure students had just the right amount of challenge/supports. I wish I had this earlier in my teacher career!”

Ashley

Teacher

What teachers are saying about Amplify ELA

“Amplify has put it all together in one place so we can hook our kids with engaging material, then track how well they’re performing.

Brent

Principal

What teachers are saying about Amplify ELA

“Amplify uses technology to enhance best practices, not instead of best practices. It is multimodal and encourages movement, readers theater, writing, drawing, etc… It isn’t just a series of copied pdfs and worksheets made digital.”

Karen

Teacher

Blended model

Amplify ELA’s new blended curriculum can be used in classrooms with limited access to devices, allowing teachers to make choices about when their students use devices without compromising learning or full standards coverage.
Amplify ELA’s blended approach keeps a strong connection between print and digital by having the teacher project uniquely digital moments as students work in their print Student Editions and Writing Journals. This approach works when Wi-Fi or devices are unavailable for both brief or extended periods of time.

Amplify ELA Teacher Components
Amplify ELA Student Components

Try Amplify ELA

Ready to take a closer look at Amplify ELA? No problem. Just complete the form to get immediate access to:

  • Digital: trial that includes two units per grade level
  • Print: preview of Teacher Edition
Amplify ELA trial

Welcome, LAUSD educators!

Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Start by watching our welcome video to the right, then learn more about the program and begin your review below.

Curriculum overview

Watch the videos below for an overview of Amplify Desmos Math California:

Built for California

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

The Amplify Desmos Math California program is designed around the vision articulated in the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students individualized support as they dive into the mathematics.

About the program

Taking the IM content further.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Amplify Desmos Math California is a curiosity-driven program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to connect their understanding of the learning goals.

Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

We chose to base our program on the extensively field-tested IM K–12 MathTM authored by Illustrative Mathematics. IM K–12 Math is a problem-based curriculum. It asks students to grapple with well-designed and thoughtfully sequenced real-world mathematical problems to build their understanding of how to efficiently solve them.

Begin your review to see how we’ve taken the IM K–12 Math content further.

Begin your review

Using a Google Chrome or Safari web browser, click the orange button below or navigate to learning.amplify.com and select “Log in with Amplify.” Please note, these demo accounts expire on April 04, 2026.

K–8 English credentials

  • Username: t1.lausd_adm_k8@demo.tryamplify.net
  • Password: Amplify1-lausd_adm_k8

K–8 Spanish credentials

  • Username: t1.lausd_k8_spanish@demo.tryamplify.net
  • Password: Amplify1-lausd_k8_spanish

AGA credentials

  • Username: t1.lausd_aga@demo.tryamplify.net
  • Password: Amplify1-lausd_aga

The power of high-quality instructional materials for K–8 science

A teacher helps two young students with a classroom activity involving small craft sticks at a table, demonstrating how to teach reading comprehension using engaging hands-on methods ideal for k-5 reading comprehension.

Simply put, quality teaching means quality learning. But there is another key part of the equation: quality curriculum.

Research confirms that the instructional materials used in classrooms play a powerful role in shaping how teachers teach, and how students learn.

Shifting from low-quality or pieced-together materials to well-designed, high-quality instructional materials can significantly improve student achievement. This growing evidence—sometimes described as “the curriculum effect”—is one reason that states and districts across the country are paying closer attention to the quality of the materials they adopt.

So what does high-quality instructional materials actually mean? And what does it look like in a real science classroom?

What does HQIM mean in science education?

High-quality instructional materials (often called HQIM) are curriculum materials intentionally designed to support student learning: aligned to rigorous standards, grounded in research, and built to support teachers.

High-quality instructional materials work alongside teachers, shaping instructional practices in ways that reduce guesswork, support consistency, and free up time and energy. This lets teachers do what they do best: interact with students. HQIM provide a coherent system that supports both teaching and learning over time.

And high-quality science curriculum materials go the extra mile, clearly articulating learning goals, providing guidance for facilitation and discussion, and including embedded opportunities to check for understanding. They also support a range of learners by offering scaffolds, differentiation strategies, and multiple ways for students to engage with content.

How HQIM align with NGSS science standards

The Next Generation Science Standards (NGSS) define what students should know and be able to do in science. At their core, these academic standards emphasize three-dimensional learning, integrating science practices, core ideas, and crosscutting concepts.

In science, HQIM are designed for three-dimensional learning: where students don’t just learn about science, but actively figure out how the natural world works. Three-dimensional learning integrates:

  • Science and engineering practices (what scientists do).
  • Disciplinary core ideas (what scientists know).
  • Crosscutting concepts (how scientific ideas connect).

HQIM are designed from the ground up to weave these dimensions together, rather than adding them on as an afterthought. That coherence helps students build understanding over time, and helps teachers see how each lesson fits into a larger learning story.

What do HQIM look like in a science classroom?

One of the best ways to recognize high-quality instructional content is to look not only at the materials, but also at the students using them.

Instead of memorizing disconnected facts, students taught with HQIM are engaged in the kinds of practices scientists use every day.

In classrooms using HQIM for science, you’ll often see students:

  • Investigating real-world phenomena that spark curiosity.
  • Asking questions, analyzing data, and building explanations.
  • Using evidence from multiple sources—texts, simulations, discussions, and investigations.
  • Revisiting ideas over time to deepen understanding.

“It is so encouraging to hear students engaged in conversation and building their ideas off of one another,” says classroom teacher Sarah Loessl of Big Hollow School District 38 in Illinois. “Students finding the confidence to challenge one another and use evidence to support their thinking is so much fun to watch.”

How HQIM support teachers

A key feature of high-quality instructional materials is that they’re designed by teachers, with teachers in mind.

This means materials that:

  • Clearly articulate learning goals.
  • Provide guidance for facilitation and discussion.
  • Include embedded formative assessment opportunities.
  • Support a range of learners, including multilingual/English learners and students who need additional scaffolds or challenges.

When materials shoulder this heavy lifting, teachers can spend less time creating from scratch and more time engaging with students.

How can teachers start engaging with HQIM?

Even if curriculum adoption decisions happen at the district level, teachers play a critical role in bringing HQIM to life.

Getting familiar with high-quality instructional materials can start with questions like:

  • What are students expected to figure out in this lesson?
  • How does this activity connect to a larger phenomenon or question?
  • Where are students using evidence to explain their thinking?
  • How does the curriculum support discussion, sense-making, and revision of ideas?

Developing a shared understanding of what high-quality science instruction looks like helps everyone—teachers, coaches, and leaders—move in the same direction.

Where does Amplify Science fit in?

Amplify Science is an example of high-quality instructional materials designed specifically for K–8 science and aligned to NGSS science standards.

It’s built around phenomena-based, three-dimensional learning and developed with educators, researchers, and scientists to support both student learning and teacher practice. The goal is coherence, engagement, and understanding that grows over time.

Ready to learn more?

To support educators and leaders in building a shared understanding of HQIM, we’ve created a free science HQIM resource bundle, including:

  • A classroom look-fors checklist.
  • A three-dimensional learning explainer.
  • An NGSS alignment overview.
  • A closer look at the HQIM student experience.
  • Registration for two upcoming webinars focused on HQIM in science.

Whether you’re new to the concept or ready to deepen your practice, these resources are designed to make high-quality instructional materials highly understandable and accessible to all.

Explore the HQIM bundle and upcoming webinars to learn more.