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.

Oregon Enhanced ELA State Review for K–5

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Grade 6

Unit 1: Numbers

GO Math!Amplify Classroom
Module 4: Operations with Fractions
Lesson 4.1: Applying GCF and LCM to Fraction OperationsUnit 4
Lesson 6: Fill the Gap
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

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
Module 5: Operations with Decimals
Lesson 5.2: Adding and Subtracting DecimalsUnit 5
Lesson 1: Dishing Out Decimals
Lesson 2: Decimal Diagrams and Algorithms
Lesson 5.4: Dividing DecimalsUnit 5
Lesson 13: Movie Time

Unit 3: Proportionality, Ratios, and Rates

Module 6: Representing Ratios and Rates
Lesson 6.1: RatiosUnit 2
Lesson 1: Pizza Maker
Lesson 6.2: Rates Unit 3
Lesson 6: Soft Serve
Lesson 6.3: Using Ratios and Rates to Solve ProblemsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Module 7: Applying Ratios and Rates
Lesson 7.1: Ratios, Rates, Tables, and GraphsUnit 2
Lesson 4: Fruit Lab
Lesson 10: Disaster Preparation
Unit 3
Lesson 6: Soft Serve
Module 8:  Percents
Lesson 8.1 Understanding Percent.Unit 3
Lesson 9: Lucky Duckies

Unit 4: Equivalent Expressions

Module 10: Generating Equivalent Algebraic Expressions
Lesson 10.1: Modeling and Writing Expressions
Lesson 10.2: Evaluating Expressions
Unit 6
Lesson 8: Products and Sums
Take Away (coming soon!)
Lesson 10.3: Generating Equivalent ExpressionsUnit 6
Lesson 8: Products and Sums
Take Away (coming soon!)

Unit 5: Equations and Inequalities

Module 11:  Equations and Relationships
Lesson 11.1:  Writing Equations to Represent Situations
Lesson 11.2:  Addition and Subtraction Equations
Lesson 11.3:  Multiplication and Division Equations
Unit 6
Lesson 1:  Weight For It
Lesson 11.4: Writing InequalitiesUnit 7
Lesson 7:  Tunnel Travels
Module 12:  Relationships in Two Variables
Lesson 12.2:  Independent and Dependent Variables in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.3:  Writing Equations from Tables.Unit 6
Lesson 16: Subway Fares
Take Away (coming soon!)
Lesson 12.4:  Representing Algebraic Relationships in Tables and GraphsUnit 6
Lesson 16: Subway Fares
Take Away (coming soon!)

Unit 6: Relationships in Geometry

GO Math!Amplify Classroom
Module 13: Area and Polygons
Lesson 13.1: Area of QuadrilateralsUnit 1
Lesson 1: Shapes on a Plane
Lesson 3: Exploring Parallelograms
Exploring Parallelograms, Part 2
Lesson 13.2: Area of TrianglesUnit 1
Lesson 1: Shapes on a Plane
Lesson 13.4: Area of PolygonsUnit 1
Lesson 1: Shapes on a Plane
Module 14:  Distance and Area in the Coordinate Plane
Lesson 14.1: Distance in the Coordinate Plane
Lesson 14.2: Polygons in the Coordinate Plane
Unit 1
Lesson 1: Shapes on a Plane

Unit 7: Measurement and Data

Module 16: Displaying, Analyzing, and
Summarizing Data
Lesson 16.1: Measures of CenterUnit 8
Lesson 11: Toy Cars
Lesson 16.4: Dot Plots and Data DistributionUnit 8
Lesson 3: Minimum Wage
Lesson 16.5: HistogramsUnit 8
Lesson 5: The Plot Thickens

Grade 7

Unit 1: The Number System

GO Math!Amplify Classroom
Module 1:  Adding and Subtracting Integers
Lesson 1.2: Adding Integers With Different Signs
Lesson 1.3: Subtracting Integers
Unit 5
Lesson 1: Floats and Anchors
Lesson 4: Draw Your Own
Lesson 10: Integer Puzzles
Module 2: Multiplying and Dividing Integers
Lesson 2.1: Multiplying Integers Unit 5
Lesson 10: Integer Puzzles
Lesson 2.2: Dividing IntegersUnit 5
Lesson 10: Integer Puzzles
Module 3:  Rational Numbers
Lesson 3.2: Adding Rational Numbers
Lesson 3.3: Subtracting Rational Numbers
Unit 5
Lesson 4: Draw Your Own

Unit 2: Ratios and Proportional Relationships

Module 4:  Rates and Proportionality
Lesson 4.1: Unit RatesUnit 2
Lesson 6: Two and Two
Lesson 4.2: Constant Rates of ChangeUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Lesson 4.3:  Proportional Relationships and GraphsUnit 2
Lesson 1: Paint
Lesson 6: Two and Two
Module 5:  Proportions and Percent
Lesson 5.1: Percent Increase and DecreaseUnit 4
Lesson 1: Mosaics
Lesson 5: Percent Machines
Lesson 5.3: Applications of PercentUnit 4
Lesson 12: Posing Percent Problems(coming soon!)

Unit 3: Expressions, Equations, and Inequalities

Module 6: Expressions and Equations
Lesson 6.3: Writing Two-Step EquationsUnit 6
Lesson 10: Collect the Squares
Module 6: Expressions and Equations
Lesson 7.2: Writing Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep
Lesson 7.3: Solving Two-Step InequalitiesUnit 6
Lesson 16: Shira the Sheep

Unit 4: Geometry

Module 8: Modeling Geometric Figures
Lesson 8.1: Similar Shapes and Scale DrawingsUnit 1
Lesson 1: Scaling Machines
Lesson 7: Will It Fit?
Unit 7
Lesson 5: Can You Build It?
Lesson 8.2: Geometric DrawingsUnit 1
Lesson 7: Will It Fit?
Lesson 8.4: Angle RelationshipsUnit 7
Lesson 2: Friendly Angles
Lesson 4: Missing Measures
Module 9:  Circumference, Area, and Volume
Lesson 9.1: CircumferenceUnit 3
Lesson 3: Measuring Around
Lesson 9.2: Area of CirclesUnit 3
Lesson 8: Area Challenges
Lesson 9.3: Area of Composite FiguresUnit 3
Lesson 8: Area Challenges

Unit 5: Statistics

Module 10: Random Samples and
Populations
Lesson 10.1: Populations and SamplesUnit 8
Lesson 10: Crab Island
Module 11: Analyzing and Comparing Data
Lesson 11.3: Using Statistical Measures to Compare PopulationsUnit 8
Lesson 10: Crab Island

Unit 6: Probability

Module 13: Theoretical Probability and
Simulations
Lesson 13.1: Theoretical Probability of Simple EventsUnit 8
Lesson 1: How Likely?
Lesson 2: Prob-bear-bilities

Grade 8

Unit 1: Real Numbers, Exponents, and Scientific Notation

GO Math!Amplify Classroom
Module 1: Real Numbers
Lesson 1.3: Ordering Real NumbersUnit 8
Lesson 4: Root Down
Module 2: Exponents and Scientific
Notation
Lesson 2.1: Integer ExponentsUnit 7
Lesson 1: Circles
Lesson 3: Power Pairs
Lesson 2.4: Operations with Scientific NotationUnit 7
Lesson 9: Specific and Scientific
Lesson 11: Balance the Scale

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
Lesson 3.2: Rate of Change and SlopeUnit 3
Lesson 4: Flags
Lesson 5: The Tortoise and the Hare
Module 4: Nonproportional Relationships
Lesson 4.1: Representing Linear Nonproportional RelationshipsUnit 3
Lesson 4: Flags
Lesson 4.2: Determining Slope and y-interceptUnit 3
Lesson 4: Flags
Lesson 4.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept.Unit 3
Lesson 4: Flags
Lesson 4.4: Proportional and Nonproportional SituationsUnit 3
Lesson 1: Turtle Time Trials
Module 5: Writing Linear Equations
Lesson 5.1: Writing Linear Equations from Situations and GraphsUnit 3
Lesson 4: Flags
Lesson 5.3: Linear Relationships and Bivariate DataUnit 6
Lesson 3: Robots
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 6: Functions
Lesson 6.1: Identifying and Representing FunctionsUnit 5
Lesson 2: Guess My Rule
Lesson 5: The Tortoise and the Hare
Lesson 6.3: Comparing FunctionsUnit 5
Lesson 5: The Tortoise and the Hare
Lesson 6.4: Analyzing GraphsUnit 5
Lesson 1: Turtle Crossing
Lesson 5: The Tortoise and the Hare

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 5: Equation Roundtable
Lesson 7.2: Equations with Rational Numbers
Lesson 7.3: Equations with the Distributive PropertyUnit 4
Lesson 5: Equation Roundtable
Module 8:  Solving Systems of Linear Equations
Lesson 8.1: Solving Systems of Linear Equations by Graphing.Unit 4
Lesson 11: Make Them Balance
Lesson 12: Line Zapper

Unit 4: Transformational Geometry

Module 9:  Transformations and Congruence
Lesson 9.1: Properties of Translations
Lesson 9.2: Properties of Reflections
Lesson 9.3:  Properties of Rotations
Unit 1
Lesson 1: Transformers
Lesson 2: Spinning, Flipping, Sliding
Lesson 4: Moving Day
Module 10: Transformations and Similarity
Lesson 10.1: Properties of DilationsUnit 2
Lesson 2: Dilation Mini Golf
Lesson 6: Social Scavenger Hunt
Lesson 10.3: Similar FiguresUnit 2
Lesson 1: Sketchy Dilations
Lesson 6: Social Scavenger Hunt

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 12: Puzzling It Out
Lesson 11.2: Angle Theorems for TrianglesUnit 1
Lesson 12: Puzzling It Out
Lesson 11.3: Angle-Angle SimilarityUnit 2
Lesson 6: Social Scavenger Hunt
Module 12: Pythagorean Theorem
Lesson 12.1: The Pythagorean TheoremUnit 8
Lesson 8: Triangle-Tracing Turtle
Lesson 10: Taco Truck
Module 13: Volume
Lesson 13.1: Volume of CylindersUnit 5
Lesson 11: Cylinders
Lesson 13.2: Volume of ConesUnit 5
Lesson 13: Cones

Unit 6: Statistics

Module 14: Scatter Plots
Lesson 14.1: Scatter Plots and AssociationUnit 6
Lesson 3: Robots
Lesson 14.2: Trend Lines and PredictionsUnit 6
Lesson 4: Dapper Cats
Lesson 6: Find the Fit
Module 15: Two-Way Tables
Lesson 15.2: Two-Way Relative Frequency 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.

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

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

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  • Amplify Science (for Grades K–5 or 6–8)

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*Amplify Desmos Math is our new K–12 program (English and Spanish) using a problem-based approach for deep conceptual understanding. Contact us for available packages.

About Amplify professional development (PD)

Take a systemic approach to drive lasting change. Partner with us to create a learning plan that enhances implementation, instruction, and student impact.

At each phase of your journey, packages include different types of learning experiences strategically bundled for multiple touchpoints throughout the year.

Four circular icons in a row showing a lightbulb, pencil, whiteboard, and podium, connected by arrows in a cycle, representing stages of a process.
Prepare
Begin
Practice
Advance


Shift literacy and math instruction and deepen understanding of research-based practices to support new program implementation.


Build the foundational knowledge and skills necessary to begin teaching with your Amplify program(s).


Refine instructional skills, expand knowledge of your Amplify program(s), and explore more advanced instructional strategies.


Deepen understanding of content and pedagogy and build-in house capacity to support a robust, sustainable implementation.

Click to learn more:

Review this page to learn more about the Begin and Practice packages.

 

Click to learn more:

Session types within packages

LAUNCH STRENGTHEN COACH
Beginning of the year
Mid-year, end of the year Mid-year, end of the year
Three people work together at a computer in a classroom; one woman points at the monitor while the others watch attentively.
Two people sit at a table reviewing documents together against a yellow background. An icon of a barbell is displayed in the top left corner.
Two women sit side by side at a table, each with a laptop. One woman points at the other’s screen as they focus on the display against a plain blue background.
Introduce programs and support implementation Target specific instructional practices

Explore the Strengthen sessions for your:

Tailored learning for specific needs

Begin packages

You’re ready to shift to evidence-based practices in your first year with Amplify programs. Let us support your educators with professional development that builds new skills and knowledge.

Choose from flexible on-site, hybrid, or virtual packages which include:

  • One Launch session to introduce Amplify programs and support strong implementation.
  • One Strengthen session to deepen understanding of the program.
  • One Coach session to elevate instructional practice and meet specific needs.
  • Suggested add-ons are available.

Each package supports up to 30 participants in similar grade bands.

On-site 15 package

Three people stand in front of a whiteboard with colorful sticky notes, discussing content on a tablet. A graphic indicates "Begin: On-site package" and "15 hours.

Participate in 15 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Launch, Strengthen, and Coach sessions.

Begin: On-site 15 package

Session type Modality/duration What’s included
Launch (1) On-site, 6-hr. Initial training for teachers
Strengthen (1) On-site, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (1) On-site, 6-hr. Coach session
Suggested enhancements
Launch add-on On-site or virtual, 3-hr. Program overview for leaders
Launch add-on Virtual, 1 hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers

Begin: Launch: Initial training for teachers

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with the foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades PreK–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Program overview for leaders

Amplify Caminos 3rd Edition sessions are available July 2026.

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch add-on: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Grades 4 and 5 available July 2026

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5) or Amplify CKLA 3rd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the core Strengthen sessions, select your program:

Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach: Customized support

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Hybrid 15 on-site package

Two women smiling and looking at a computer screen in an office setting; text reads "Begin: Hybrid package" and "15 hours.

Participate in 15 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Launch, Strengthen, and Coach sessions.

Begin: Hybrid 15 on-site package

Session type Modality/duration What’s included
Launch (1) On-site, 6-hr. Initial training for teachers
Strengthen (1) Virtual, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (1) On-site, 6-hr. Coach session
Suggested enhancements
Launch add-on On-site or virtual, 3-hr. Program overview for leaders
Launch add-on Virtual, 1 hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers

Begin: Launch: Initial training for teachers

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Initial training sessions are designed for educators who are new users. In our initial training session, educators are oriented to the key components of the program, including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with the foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Program overview for leaders

Amplify Caminos 3rd Edition sessions are available July 2026.

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify CKLA (2nd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Notes:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Hybrid 10 package

Two women smile while looking at a computer monitor in an office. A graphic overlay reads “Begin: Hybrid package” and “10 hours,” with icons for power, fitness, and communication.

Participate in 10 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Launch, Strengthen, and Coach sessions.

Begin: Hybrid 10 package

Session type Modality/duration What’s included
Launch (1) On-site, 3-hr. Program overview for teachers
Strengthen (1) Virtual, 1-hr. Program-specific Strengthen Focus session (selected based on your needs) for Core Literacy and STEM programs.
Coach (1) On-site, 6-hr. Coach session
Suggested enhancements
Launch add-on On-site or virtual,
3-hr.
Program overview for leaders
Launch add-on Virtual, 1 hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers

Begin: Launch: Program overview for teachers

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 3 hours

Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades PreK–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Program overview for leaders

Amplify Caminos 3rd Edition sessions are available July 2026.

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy (Grades PreK–5), Amplify ELA 2nd Edition (Grades 6–8), Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Hybrid 15 virtual package

A person points at a laptop screen displaying an online training module. Icons and text indicate the start of a virtual package with a duration of 15 hours.

Participate in 15 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Launch, Strengthen, and Coach sessions.

Begin: Hybrid 15 virtual package

Session type Modality/duration What’s included
Launch (1) Virtual, 6-hr.
(2 half-days)
Initial training for teachers
Strengthen (1) Virtual, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (1) On-site, 6-hr. Coach session
Suggested enhancements
Launch add-on On-site or virtual, 3-hr. Program overview for leaders
Launch add-on Virtual, 1 hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers

Begin: Launch: Initial training for teachers

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

Virtual, 6 hours (2 half-days)

Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with the foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Program overview for leaders

Amplify Caminos 3rd Edition sessions are available July 2026.

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Virtual 7 package

A person points at a laptop screen displaying an educational webpage; icons and text indicate the start of a virtual package lasting 7 hours.

Participate in 7 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Launch, Strengthen, and Coach sessions.

Begin: Virtual 7 package

Session type Modality/duration What’s included
Launch (1) Virtual, 3-hr. Program overview for teachers
Strengthen (1) Virtual, 1-hr. Program-specific Strengthen Focus session (selected based on your needs) for Core Literacy and STEM programs.
Coach (1) Virtual, 3-hr. Coach session
Suggested enhancements
Launch add-on On-site or virtual, 3-hr. Program overview for leaders
Launch add-on Virtual, 1 hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers

Begin: Launch: Program overview for teachers

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

Virtual, 3 hours

Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades PreK, K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Launch add-on: Program overview for leaders

Amplify Caminos 3rd Edition sessions are available July 2026.

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify Caminos 3rd Edition, Amplify CKLA/Caminos 3rd Edition biliteracy, and Amplify Desmos Math high school sessions are available July 2026.

Virtual, 3 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Practice packages

You’re familiar with Amplify programs and ready to deepen your knowledge and implementation. Let us support your educators with professional development that emphasizes continuous improvement and enhanced understanding.

Choose from flexible on-site, hybrid, or virtual packages:

  • One Strengthen session to deepen understanding of the program, expand practice, and drive student outcomes
  • Two Coach sessions to elevate instructional practice and meet specific needs

Each package supports up to 30 participants in similar grade bands.

On-site 15 package

Three people discuss work while looking at a tablet in front of a whiteboard with colorful sticky notes. A "Practice: On-site package" label and "15 hours" badge are displayed.

Participate in 15 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Strengthen and Coach sessions.

Practice: On-site 15 package

Session type Modality/duration What’s included
Strengthen (1) On-site, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (2) On-site, 6-hr. Coach session
Suggested enhancements
Launch substitution Virtual, 1-hr. NEW: Amplify Caminos 1st–3rd Ed. transition training for teachers
Launch substitution Virtual, 1-hr. NEW: Amplify CKLA 2nd Ed/Caminos 1st Ed to Amplify CKLA 3rd Ed/Caminos 3rd Ed transition training for teachers
Launch add-on Virtual, 1-hr. Amplify CKLA 3–5 Skills supplement training for teachers
Launch substitution
Virtual, 1-hr. Amplify CKLA 2nd–3rd Edition transition training for teachers
Launch add-on Virtual, 1-hr. Language Studio for CKLA 3rd Edition session

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify CKLA, Amplify Caminos 3rd Edition, and Amplify Desmos Math K–5 and 6–A1 are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st and 3rd Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify CKLA 3rd Edition/Caminos 3rd Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify Caminos 1st and 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition/Caminos 1st Edition to Amplify CKLA 3rd Edition/Caminos 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition/Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch substitution

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Virtual, 1 hour

Ideal substitution for CKLA 2nd Edition Launch sessions
Participants will get an overview of the similarities and differences between Amplify CKLA 2nd Edition and Amplify CKLA 3rd Edition, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Launch add-on: Language Studio companion training for teachers

On-site and virtual, 3 hour

Ideal add-on for Amplify CKLA (2nd Edition or 3rd Edition) Launch sessions
Participants will be able to summarize the key features of Language Studio. During this session they will connect key segments of Language Studio to ELD instructional best practices, identify the segments of Language Studio, and plan and practice a Language Studio lesson.

Session options: Amplify CKLA 2nd or 3rd Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Hybrid 15 package

Two women look at a computer screen and smile in an office setting. Text reads "Practice: Hybrid package" and "15 hours" with icons on the left side.

Participate in 15 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Strengthen and Coach sessions.

Practice: Hybrid 15 package

Session type Modality/duration What’s included
Strengthen (1) Virtual, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (2) On-site, 6-hr. Coach session
Suggested enhancements
Launch substitution Virtual, 1-hr. NEW: Amplify Caminos 1st and 3rd Ed. transition training for teachers
Launch substitution Virtual, 1-hr. NEW: Amplify CKLA 2nd Ed./Caminos 1st Ed. to Amplify CKLA 3rd Ed./Caminos 3rd Ed. transition training for teachers
Launch add-on Virtual, 1-hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers
Launch substitution Virtual, 1-hr. Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers
Launch add-on Virtual, 1-hr. Language Studio for CKLA 3rd Edition session

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify CKLA 3rd Edition and Amplify Desmos Math K–5 and 6–A1 sessions are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify Caminos 1st and 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition/Caminos 1st Edition to Amplify CKLA 3rd Edition/Caminos 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition/Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch substitution

Suggested enhancement: Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Virtual, 1 hour

Ideal substitution for CKLA 2nd Edition Launch sessions
Participants will get an overview of the similarities and differences between Amplify CKLA 2nd Edition and Amplify CKLA 3rd Edition, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Launch add-on: Language Studio companion training for teachers

On-site and virtual, 3 hours

Ideal add-on for Amplify CKLA (2nd Edition or 3rd Edition) Launch sessions
Participants will be able to summarize the key features of Language Studio. During this session they will connect key segments of Language Studio to ELD instructional best practices, identify the segments of Language Studio, and plan and practice a Language Studio lesson.

Session options: Amplify CKLA 2nd or 3rd Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Hybrid 13 package

Two women work together at a computer in an office, smiling, with a graphic indicating "Practice: Hybrid package" and "13 hours.

Participate in 13 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Strengthen and Coach sessions.

Practice: Hybrid 13 package

Session type Modality/duration What’s included
Strengthen (1) Virtual, 1-hr. Program-specific Strengthen Focus session (selected based on your needs) for Core Literacy and STEM programs.
Coach (2) On-site, 6-hr. Coach session
Suggested enhancements
Launch substitution Virtual, 1-hr. NEW: Amplify Caminos 1st and 3rd Ed. transition training for teachers
Launch substitution Virtual, 1-hr. NEW: Amplify CKLA 2nd Ed./Caminos 1st Ed. to Amplify CKLA 3rd Ed./Caminos 3rd Ed. transition training for teachers
Launch add-on Virtual, 1-hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers
Launch substitution Virtual, 1-hr. Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify CKLA; Amplify Caminos 3rd Edition; and Amplify Desmos Math K–5, 6–A1, and high school are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify Caminos 1st and 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition/Caminos 1st Edition to Amplify CKLA 3rd Edition/Caminos 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition/Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch substitution

Suggested enhancement: Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Virtual, 1 hour

Ideal substitution for CKLA 2nd Edition Launch sessions
Participants will get an overview of the similarities and differences between Amplify CKLA 2nd Edition and Amplify CKLA 3rd Edition, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 3rd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Virtual 9 package

A person points at a laptop screen displaying an educational program. Text indicates "Practice: Virtual package" and "9 hours" of activity. Icons for learning and fitness are shown on the side.

Participate in 9 hours of program-aligned professional development across three sessions for up to 30 participants. Build understanding of research-based practices and develop knowledge through curated Strengthen and Coach sessions.

Practice: Virtual 9 package

Session type Modality/duration What’s included
Strengthen (1) Virtual, 3-hr. Program-specific Strengthen session (selected based on your needs) for Core Literacy and STEM programs.
Coach (2) Virtual, 3-hr. Coach session
Suggested enhancements
Launch substitution Virtual, 1-hr. NEW: Amplify Caminos 1st and 3rd Ed. transition training for teachers
Launch substitution Virtual, 1-hr. NEW: Amplify CKLA 2nd Ed./Caminos 1st Ed. to Amplify CKLA 3rd Ed./Caminos 3rd Ed. transition training for teachers
Launch add-on Virtual, 1-hr. Amplify CKLA Grade 3–5 Skills supplement training for teachers
Launch substitution Virtual, 1-hr. Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Strengthen: Program-specific sessions

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core Strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach session: Customized support

Amplify CKLA; Amplify Caminos 3rd Edition; and Amplify Desmos Math K–5, 6–A1, and high school are available July 2026.

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify CKLA (2nd and 3rd Edition), Amplify Caminos (1st Edition), Amplify CKLA 2nd Edition/Caminos 1st Edition biliteracy, Amplify ELA 2nd Edition, Amplify Math (Grades 6–A1), Amplify Desmos Math (Grades K–5, 6–A1, or high school), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition/Caminos 1st Edition to Amplify CKLA 3rd Edition/Caminos 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Available July 2026

Suggested enhancement: Launch substitution: Amplify CKLA 2nd Edition/Caminos 1st Edition to Amplify CKLA 3rd Edition/Caminos 3rd Edition transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Amplify Caminos 1st and 3rd Editions, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 2nd Edition/Amplify Caminos 1st Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 3–5 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 3–5 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch substitution

Suggested enhancement: Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Virtual, 1 hour

Ideal substitution for Amplify CKLA 2nd Edition Launch sessions
Participants will get an overview of the similarities and differences between Amplify CKLA 2nd Edition and Amplify CKLA 3rd Edition, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 3rd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Enhancement options

Want to extend learning for teachers and leaders? Have a unique need that you’d like to address? Seeking more targeted coaching options? Our package enhancements allow you to tailor your PD experience to meet the needs of your staff, whether they’re new or returning to the program.

Enhancements can be purchased for all teachers/leaders or a subset of educators.

General enhancement offerings

Session name On-site,
6-hr.
On-site,
3-hr.
Virtual,
6-hr.
(2 half days)
Virtual,
3-hr. 
Virtual,
1-hr.
Leadership Launch session       A large, light peach-colored checkmark on a transparent background.  
Leadership Strengthen session A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.  
Launch (Practice) session for teachers and leaders   A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Strengthen session for teachers and leaders   A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Coach session for teachers and leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Amplify CKLA Grade 3–5 Skills supplement training for teachers         A large, light peach-colored checkmark on a transparent background.
Launch add-on: Language Studio companion training for K–2 or 3–5 teachers   A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Launch substitution: Amplify CKLA 2nd Edition to 3rd Edition transition         A large, light peach-colored checkmark on a transparent background.

Launch add-on

Suggested enhancement: Launch add-on: Amplify CKLA Grade 3–5 Skills supplement training for teachers

Virtual, 1 hour

Learn how to implement Amplify CKLA Grades 35 Skills in the classroom. Learn the foundational elements of Amplify CKLA Grades 35 Skills, including becoming familiar with materials and key lesson components.

Note:

  • Grade 3 Skills is included in the purchase of Amplify CKLA 2nd Edition, while Grade 4 Skills and Grade 5 Skills can be added on.
  • Grades 3–5 Skills are included with the purchase of Amplify CKLA 3rd Edition.

Session options: Amplify CKLA 2nd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch add-on

Suggested enhancement: Language Studio companion training for teachers

On-site and virtual, 3 hours

Ideal add-on for Amplify CKLA (2nd or 3rd Edition) Launch sessions

Participants will be able to summarize the key features of Language Studio. During this session, they will connect key segments of Language Studio to ELD instructional best practices, identify the segments of Language Studio, and plan and practice a Language Studio lesson.

Session options: Amplify CKLA 2nd or 3rd Edition (Grades K–2 or 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Launch substitution

Suggested enhancement: Amplify CKLA 2nd Edition to 3rd Edition transition training for teachers

Virtual, 1 hour

Ideal substitution for CKLA 2nd Edition Launch sessions
Participants will get an overview of the similarities and differences between Amplify CKLA 2nd Edition and Amplify CKLA 3rd Edition, including becoming familiar with changes in materials; the digital platform; and key lesson, assessment, and reporting components.

Session options: Amplify CKLA 3rd Edition (Grades 3–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Biliteracy packages

Biliteracy packages for Amplify CKLA and Amplify Caminos

We also offer several of the core Amplify CKLA sessions for our biliteracy and Spanish immersion programs. These specialized sessions support educators teaching with both Amplify CKLA and Amplify Caminos programs, facilitated in English, Spanish, or both languages as appropriate.

Contact your account executive for extended PD catalog options or quotes.

Companion programs

Additional sessions are available for Amplify CKLA’s companion programs (Writing Studio and Language Studio).

Get in touch with a PD expert.

Tulsa, exciting updates in CKLA 2nd Edition!

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Tulsa, exciting updates in CKLA 2nd Edition!

As part of our commitment to creating even richer and more wide-ranging curricula, we have built on the foundation of 1st Edition to release a new edition of Amplify CKLA with a collection of program enhancements that save you time and help you reach every student.

Explore the 2nd Edition Program Guide to learn more.

A couple gazes at three circular vignettes showing an astronaut, a president at a podium with an american flag, and a person breaking a wall with a hammer.

Amplify Caminos for Spanish literacy

Amplify Core Knowledge Language Arts® (CKLA) is proud to introduce Amplify Caminos al Conocimiento Esencial, a Spanish language arts program that will inspire and engage your students to become confident readers, writers, and thinkers.

Three colorful book covers featuring artistic styles: a bird in flight, a bicycle near a vine-covered wall, and a vibrant portrait of a woman with flowing hair.

Like Amplify CKLA, Amplify Caminos is designed to spark curiosity through content-rich instruction. Amplify Caminos features complex interactive Read-Alouds and authentic Spanish literature to develop reading and writing skills and build bridges across Spanish and English.

Explore the Amplify Caminos Program Guide.

Research units to inspire inquiry and curiosity

Our brand-new Knowledge Research units carry forward Amplify CKLA’s powerful and proven instructional approach while also:

  • Adding more content for students from all walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

Three illustrations: one shows people at a gaming session, the middle depicts a diverse group standing together, and the third portrays a group gardening outdoors.

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: Art and the World Around Us
  • Grade 1: Adventure Stories: Tales from the Edge of the World
  • Grade 2: Up, Up, and Away: The Age of Aviation
  • Grade 3: All That Jazz
  • Grade 4: Energy: Past, Present, and Future
  • Grade 5: Beyond Juneteenth: 1865 to present

Watch the overview webinar to learn more.

Units will be made available in English and Spanish, and will include the following components:

A collage of educational materials including comic panels, illustrated worksheets, and classroom posters featuring diverse characters.
  • Teacher Guide
  • Student Activity Books
  • Image Cards
  • Trade Book Collection
  • Digital Components (grades K–3 and 5)

Richly illustrated Skills Readers

Student Readers in grades K–2 are newly redesigned with gorgeous illustrations that celebrate students’ diverse experiences. The new readers feature individuals with a broad range of identities and culture, providing students with more windows and mirrors. Each reimagined reader has a unique illustration style to draw students into the engaging stories, characters, and plots.
Review the new readers.

New digital platform with presentation slides

Amplify CKLA 2nd Edition is on Interactive Classroom, a new digital platform, that makes it easier and more engaging than ever to plan lessons, present digital content, and review and assign student work online.

A person navigating through the curved, narrow sandstone walls of antelope canyon. the natural rock formation casts pink and orange hues.

Interactive Classroom provides ready-to-use, customizable lesson slides, complete with all the prompts from the Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students engage with the content through slides that include digital activities, digital components, multimedia, Student Readers, and more. Students can complete work in the platform through digital Activity Pages that allow them to type, draw, record audio, and more.

Explore the Interactive Classroom overview brochure.

Improved layout, more focused lessons, new content & more

From 1st Edition to 2nd Edition, we made updates to make it easier to plan and deliver Amplify CKLA lessons, including a variety of ways to differentiate instruction to meet the needs of all students.

Key enhancements include:

  • Scaffolds for English Language Learners added to all lessons
  • In-the-moment differentiation opportunities added to support and challenge all students
  • Integrated Grade 3 into one instructional strand to better match students’ learning trajectories
  • New layout to make Teacher Guides easier to scan and use.

New content at the beginning of each lesson:

  • Primary Focus Objectives identify the goals of each lesson. Each objective is standards-aligned and corresponds to a formative assessment.
  • Formative Assessment opportunities are explicitly called out in a chart at the beginning of each lesson. Formative assessments are aligned to the Primary Focus Objectives.
  • Universal Access suggests modifications to the lesson to support a diversity of learning styles.

New content within each lesson:

  • Support and Challenge sidebars added throughout for extensions, support, and enrichment.
  • Access Supports provide scaffolds to support English Language Learners across five proficiency levels.

New content in each Skills Strand lesson:

  • Additional Support section at the end of every Skills lesson provides opportunities for re-teaching and reinforcing skills taught in the lesson. Specific activities and extensions are provided to meet the needs of all learners.

New content in all grades, including:

  • Grade K: Picture Reader with supporting instruction
  • Grade 3: Content integrated into one instructional strand to improve pacing and closely match students’ learning trajectories; excerpts of read-aloud text now appear in select student readers; added new Vikings Quest (problem-based interactive learning).
  • Grade 4: Updated the Personal Narratives unit, added The Contraption Quest (writing across the year).
  • Grade 5: Updated Personal Narratives unit, added Chemical Matter unit, added The Robot Quest (writing across the year).
  • Moved Contemporary Fiction unit from Grade 5 to Grade 4.
  • Supplemental cursive instruction and activity book added for Grades 3 and 4.

Take a deeper look at the enhancements.

Language Studio for English Language Learners

Language Studio is a companion English Language Development program to 2nd Edition designed to support students learning English at all proficiency levels. Aligned to WIDA, the program helps students strengthen vocabulary and academic language skills while deepening the background knowledge developed in the core program. This unique approach provides an effective structure for moving English Language Learners students towards English proficiency.

View sample lessons to see how it works.

Multimedia Hub for teachers and students

Students will be able to access multimedia resources and engage in a new way on the Amplify CKLA Hub. Students can access digital resources independently from anywhere, taking full advantage of the instructional multimedia experiences that Amplify CKLA has to offer. Students can access the Hub at home, in the classroom, and on the go, making it ideal for remote learning. It’s compatible with laptops, Chromebooks, tablets, and desktops.

Grades K–2

Grades K–2 students will have access to Knowledge Builder videos to introduce each domainSound Library videos and songs for each sound in the English language; and audio-enabled eBooks of grade-level Student Readers.

Grades 3–5

Grades 3–5 students will have access to the Vocab App for independent practice with domain vocabulary and audio-enabled eBooks of grade-level Student Readers in English and Spanish.

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.

Amplify CKLA Review for Alabama

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Professional development for core programs

Amplify professional development provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

Learn and apply impactful instructional techniques and develop a deeper understanding of your Amplify program(s) by investing in professional development.

Professional Learning Partner Guide Certified Provider

Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

Two women smiling and looking at a laptop screen, sitting at a desk with a water bottle and notepad. decorative yellow and orange speech bubbles and shapes overlay the image.

About Amplify core programs

Amplify’s high-quality programs make it easier for you to teach inspiring, impactful lessons that celebrate and develop the brilliance of your students. By equipping teachers with resources and strategies to provide robust scaffolding and differentiated instruction, Amplify’s core programs ensure that all students can fully engage with rigorous subject matter.

Literacy

  • Amplify ELAR K–5
  • Amplify SLAR K–5
  • Amplify ELAR 6–8

STEM

  • Amplify Math
  • Desmos Math
  • Amplify Desmos Math (for Grades K–Algebra 1)*
  • Amplify Science

We provide PD sessions for all Amplify programs. Contact your account executive to discuss the extended catalog of PD session options or request a quote.

*Amplify Desmos Math is a new core PreK–12 program from Amplify and Desmos Classroom—available in English and Spanish—that applies a problem-based approach to get results by developing deep conceptual understanding, procedural fluency, and application. Contact us to learn more about the packages and sessions currently available.

About Amplify Professional Development (PD)

Change is more likely to stick and get results when you take a systemic approach. Partner with us to do just that by developing a learning plan that will drive your program implementation, enrich your instructional practices, and increase student impact. Begin and Practice packages are available for core programs.


Prepare

Begin

Practice

Advance
Program-agnostic sessions will set up educators for success 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’s programs. Program-aligned packages will support those who have experience using Amplify’s programs. Offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.

At each phase of implementation, we offer a range of unique packages and offerings. Sessions are strategically bundled for multiple touch points throughout the year. A variety of high-quality sessions set educators up for success with Amplify programs—whether you’re years into using them or just starting out.

Session types

Select a package to uncover the benefits of a customizable Coach session.

LAUNCH STRENGTHEN COACH
Beginning of year Mid-year, end of year Mid-year, end of year
Illustration of a rocket ship with a red tip, gray fins, and orange flames, featuring a person with red hair visible through a window.
Illustration of a woman with red hair lifting a dumbbell, sweating and flexing her arm to show a muscle.
Three people are in a rowboat; two are rowing while the third faces them, appearing to give instructions or shout.
Propel your teachers into the new school year with sessions that introduce them to their Amplify program and support them in a strong implementation.
Boost implementation with sessions that target specific instructional practices.
Guide teachers and leaders with targeted learning tailored to their specific needs.
Before teaching
After 6+ weeks of teaching
 
Select a package to reveal the components of a launch session. To explore the core strengthen sessions, select your program: Select a package to uncover the benefits of a customizable Coach session.

Interactive sessions empower teachers and leaders implementing Amplify programs, giving them the tools and skills they need to inspire all students to think deeply, creatively, and for themselves.

Explore enhancement options to see how you can further customize your package to build capacity in teachers and leaders and meet the needs of all learners within Amplify literacy, biliteracy, and/or STEM program(s).

Begin packages

You’re in your first year of implementation. You’re ready to start making the shift to evidence-based practices, using your Amplify program(s). You know that individual change is critical to organizational change. Let us support educators with professional development that develops new skills, knowledge, and a positive orientation to change.

Explore the program-aligned package options below to learn more about the modality and duration of each Launch, Strengthen, and Coach session available to you during your first year of implementation.

Select from flexible on-site, hybrid, or virtual packages, including:

  • Launch sessions to introduce Amplify programs and support strong implementation.
  • Strengthen sessions to deepen understanding of the program.
  • Coach sessions to elevate instructional practice and help meet teachers’ and schools’ specific needs.

Each package supports up to 30 participants in similar grade bands.

Overview: Begin packages for Amplify core programs

Package title and duration On-site package (15 hours) Hybrid
on-site package
(15 hours)
Hybrid 10 package (10 hours) Hybrid virtual package (15 hours) Virtual package   (7 hours)
Launch
One session per package
On-site
6 hr.
On-site
6 hr.
On-site
3 hr.
Virtual
6 hr.
(2 half-days)
Virtual
3 hr.
Strengthen
One session per package
On-site
3 hr.
Virtual
3 hr.
Virtual
1 hr.
Virtual
3 hr.
Virtual
1 hr.
Coach
One session per package
On-site
6 hr.
On-site
6 hr.
On-site
6 hr.
On-site
6 hr.
Virtual
3 hr.
Suggested enhancements
Launch add-on On-site or virtual,
3 hr. session
Program overview for leaders

On-site package

Begin: On-site packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Begin: On-site package

(15 hours for 30 participants)
    Select the session to learn more.
Launch (1) On-site, 6-hr. session Initial training for teachers
Strengthen (1) On-site, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (1) On-site, 6-hr. session Coach session
Suggested enhancements On-site or virtual,
3-hr. session
Program overview for leaders

Launch

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Initial training for teachers

On-site, 6 hours

Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancement: Program overview for leaders

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the core strengthen sessions, select your program:

Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Hybrid 15 on-site package

Begin: Hybrid 15 on-site packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Begin: Hybrid 15 on-site package

(15 hours for 30 participants)
    Select the session to learn more.
Launch (1) On-site, 6-hr. session Initial training for teachers
Strengthen (1) Virtual, 3-hr. session Explore the Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (1) On-site, 6-hr. session Coach session
Suggested enhancements On-site or virtual,
3-hr. session
Program overview for leaders

Launch

Propel yourself into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Initial training for teachers

On-site, 6 hours

Initial training sessions are designed for educators who are new users. In our initial training session, educators are oriented to the key components of the program, including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancement: Program overview for leaders

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science

Audience: Individual teachers, grade-level teams, PLCs,and/or instructional leaders (maximum 30 participants)

Hybrid 10 package

The Begin: Hybrid 10 package includes program-aligned, on-site and virtual Launch, Strengthen, and Coach sessions. Providing 10 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Begin: Hybrid 10 package

(10 hours for up to 30 participants)
    Select the session to learn more.
Launch (1) On-site, 6-hr. session Program overview for teachers
Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (1) On-site, 6-hr. session Coach session
Suggested enhancements On-site or virtual,
3-hr. session
Program overview for leaders

Launch

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Program overview for teachers

On-site, 3 hours

Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancements: Program overview for leaders

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math, Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Hybrid 15 virtual package

Begin: Hybrid 15 virtual packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Begin: Hybrid 15 virtual package

(15 hours for up to 30 participants)
    Select the session to learn more.
Launch (1) Virtual, 6-hr. session
(2 half-days)
Initial training for teachers
Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (1) On-site, 6-hr. session Coach session
Suggested enhancements On-site or virtual,
3-hr. session
Program overview for leaders

Launch

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Initial training for teachers

Virtual, 6 hours (2 half-days)

Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancement: Program overview for leaders

On-site or virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Virtual package

Begin: Virtual packages include program-aligned, on-site Launch, Strengthen, and Coach sessions. Providing seven hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Begin: Virtual package

(7 hours for up to 30 participants)
    Select the session to learn more.
Launch (1) Virtual, 3-hr. session Program overview for teachers
Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (1) Virtual, 3-hr. session Coach session
Suggested enhancements
Launch add-on
On-site, 3-hr. session Program overview for leaders

Launch

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Program overview for teachers

Virtual, 3 hours

Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancement: Program overview for leaders

Virtual, 3 hours

The program overview for leaders session supports district and school-level instructional leaders in effectively supporting the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy; Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

Virtual, 3 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Practice packages

You’re becoming familiar with Amplify programs and are ready to deepen your knowledge and implementation. Our team will facilitate learning that emphasizes deeper understanding of resources and instructional practices through learning experiences focused on continuous improvement, enhancing your understanding of your Amplify program(s), and customized coaching.

Explore the program-aligned package options below to learn more about the modality and duration of each Strengthen and Coach session available to you at any time during your second year of implementation.

Select from flexible on-site, hybrid, or virtual packages, including:

  • Strengthen sessions to deepen understanding of the program, expand practice, and drive student outcomes.
  • Coach sessions to elevate instructional practice and help meet teachers’ and schools’ specific needs.

Each package supports up to 30 participants in similar grade bands.

Overview: Practice packages for Amplify core programs

Select the package title to view session descriptions

Package title and duration On-site package
(15 hours)
Hybrid 15 package
(15 hours)
Hybrid 13 package
(13 hours)
Virtual package
(9 hours)
Strengthen*  One session per package On-site, 3-hr. Virtual, 3-hr. Virtual,1-hr. Virtual, 3-hr.

Coach
Two sessions per package    

On-site, 6-hr. On-site, 6-hr. On-site, 6-hr. Virtual, 3-hr.

*The topics of the Strengthen sessions will vary in Practice packages as determined by the needs of the school/district.

Suggested enhancements
Select the sessions to learn more.
Launch add-on
Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

On-site package

Practice: On-site packages include program-aligned, on-site Strengthen and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Practice: On-site package

(15 hours for up to 30 participants)
    Select the session to learn more.
Strengthen (1) On-site, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (2) On-site, 6-hr. session Practice: Coach session
Suggested enhancements
Select the sessions to learn more.
Launch add-on
Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

Virtual, 1 hour

Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

Session options: Amplify ELAR

Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

Hybrid 15 package

Practice: Hybrid on-site packages include program-aligned, on-site and virtual Strengthen and Coach sessions. Providing 15 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Practice: Hybrid 15 package

(15 hours for 30 participants)
    Select the session to learn more.
Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (2) On-site, 6-hr. sessions Coach session
Suggested enhancements
Select the sessions to learn more.
Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

Virtual, 1 hour

Ideal add-on to Launch sessions
Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

Session options: Amplify ELAR

Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

Hybrid 13 package

Practice: Hybrid on-site packages include program-aligned, on-site and virtual Strengthen and Coach sessions. Providing 13 hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Practice: Hybrid 13 package

(13 hours for 30 participants)
    Select the session to learn more.
Strengthen (1) Virtual, 1-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (2) On-site, 6-hr. sessions Coach session
Suggested enhancements
Select the sessions to learn more.
Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

Virtual, 1 hour

Ideal add-on to Launch sessions
Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

Session options: Amplify ELAR

Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

Virtual package

Practice: Virtual packages include program-aligned, virtual Strengthen and Coach sessions. Providing nine hours of professional development for up to 30 participants, this package will build understanding of research-based practices supported by Amplify program(s) and develop knowledge and skills through a variety of curated sessions.

Practice: Virtual package

(9 hours for 30 participants)
    Select the session to learn more.
Strengthen (1) Virtual, 3-hr. session Explore Core Literacy and Core STEM Strengthen sessions. Session titles scheduled upon request.
Coach (2) Virtual, 3-hr. sessions Coach session
Suggested enhancements
Select the sessions to learn more.
Launch add-on Virtual, 1-hr. session Amplify ELAR Grade 3 Skills supplement training for teachers

Strengthen

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

To explore the available core strengthen sessions, select your program:

Amplify will closely partner with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Coach

Support teachers and leaders with learning experiences tailored to meet their specific needs.

Coach session

On-site, 6 hours

Elevate instructional practice and help meet educators’ specific needs with customizable Coach sessions.

Session options: Amplify ELAR, Amplify SLAR, or Amplify ELAR/SLAR biliteracy, Amplify ELAR 6–8, Amplify Math, Desmos Math 6–A1, Amplify Desmos Math (Grades K–5 or 6–A1), Amplify Science (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs,
and/or instructional leaders (maximum 30 participants)

Suggested enhancement: Amplify ELAR Grade 3 Skills supplement for teachers

Virtual, 1 hour

Ideal add-on to Launch sessions
Participants will get an overview of how to implement Amplify ELAR Grade 3 Skills in their classrooms! Learn the foundational elements of Amplify ELAR Grade 3 Skills, including becoming familiar with materials and key lesson components.

Session options: Amplify ELAR

Audience: Grade 3–5 teachers, instructional staff (maximum 30 participants)

Enhancement options

Want to extend learning for teachers and leaders? Have a unique need that you’d like to address? Seeking more targeted coaching options? Our package enhancements allow you to tailor your PD experience to meet the needs of your staff, whether they’re new or returning to the program.

Enhancements can be purchased for all teachers/leaders or a subset of educators.

General enhancement offerings

Add-on session name Leadership Launch session Leadership Strengthen session Launch
(Practice) session
Strengthen session
Coach session
Amplify ELAR Grade 3 Skills supplement for teachers session
Session audience Leader Leader Teacher, Leader Teacher, Leader Teacher, Leader Teacher
Session modality
/duration
On-site
3-hr.
On-site
3-hr.
On-site
6-hr.
On-site
3-hr.
On-site
6-hr.
Virtual
1-hr.
Virtual
3-hr.
Virtual
3-hr.
On-site
3-hr.
Virtual
3-hr.
Virtual
3-hr.
Virtual 6 hr.
(2 half-days)
Virtual
1-hr.
Virtual
3-hr.

Biliteracy packages

Biliteracy packages for Amplify ELAR and Amplify SLAR

Built on the Science of Reading, Amplify Texas English Language Arts and Reading (ELAR) sequences deep content knowledge with research-based foundational skills. Amplify ELAR is a K–5 literacy curriculum that inspires curiosity and drives results, empowering all students with rich background knowledge.

Amplify SLAR serves as the perfect Spanish language arts partner to Amplify ELAR. These aligned programs combine deep content knowledge with systematic foundational skills instruction grounded in the Science of Reading. They adhere to biliteracy principles and support multiple teaching models.

The table below lists Amplify ELAR and Amplify SLAR packages for first year implementation and beyond.

Begin packages

  On-site
package

(15 hours)
Hybrid on-site package
(15 hours)
Hybrid virtual package
(15 hours)
Virtual package
(10 hours)
Select the session title to view each description.
Launch session
Initial training for teachers
On-site 6 hr. On-site 6 hr.  Virtual, 6 hr. (2 half-days) Virtual, 6 hr. (2 half-days)
Strengthen session
Session titles scheduled upon request.
On-site 3 hr. Virtual 3 hr. Virtual 3 hr. Virtual 1 hr.
Explore Core Literacy Strengthen sessions aligned with the duration and modality of your biliteracy package.
Coach session On-site 6 hr. On-site 6 hr. On-site 6 hr. Virtual 3 hr.

Practice packages

  On-site
package

(15 hours)
Hybrid 15 package
(15 hours)
Hybrid 13 package
(13 hours)
Virtual package
(9 hours)
Strengthen session On-site 3 hr. Virtual 3 hr. Virtual 1 hr. Virtual 3 hr.
Explore Core Literacy Strengthen sessions aligned with the duration and modality of your biliteracy package.
Coach sessions (2) On-site 6 hr. On-site 6 hr. On-site 6 hr. Virtual 3 hr.

Companion programs

Additional sessions are available for Amplify ELAR’s companion programs (Writing Studio and Language Studio).

To learn more about enhancing your Amplify experience by purchasing companion programs and/or accompanying PD sessions, please contact your account executive.

Get in touch with a PD expert

We’re here to provide answers and guidance as you explore your PD journey. Fill out the form to connect with us and discover how Amplify PD can enhance your educational journey.

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Amplify and SFUSD Partnership

We recognize and respect the unique differences of each of our partnering districts—and that includes San Francisco USD.

Out of the box, Amplify Caminos offers districts a rich, comprehensive, research-based SELA experience. That said, no two districts are exactly alike. To that end, we are committed to working with San Francisco USD to ensure that Amplify Caminos addresses the needs of your community. This includes providing implementation guidance and support, as well as collaborating with your staff to determine which domains need to be modified or exchanged.

What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.



Watch the video below to learn more about Amplify Caminos for Grades K–2.



Watch the video below to learn more about Amplify Caminos for Grades 3–5.

How does Amplify Caminos work?

Amplify Caminos is built on the science of how kids learn to read—in Spanish.

Amplify Caminos is all about helping you teach students how to read, all while giving them authentic and engaging reasons to read. That’s why Amplify Caminos develops foundational skills and builds knowledge in tandem.

  • Knowledge: Through complex and authentic Spanish read-alouds with an emphasis on classroom interactivity, oral comprehension, and contextual vocabulary, students start to build their awareness of the world around them—and the way the reading skills they’re building give them access to it.
  • Skills: Starting with the sounds at the core of the Spanish
    language, students practice their phonemic awareness, handwriting skills, vocabulary, spelling, and grammar. Through daily practice, students become aware of the connection between reading and writing, building confidence as they go.
Illustration depicting the flow of genetic information, represented by ribbons transitioning from dna to rna, connected to various educational images and diagrams.

Respecting the development differences between grade ranges, Amplify Caminos teaches foundational skills and background knowledge as two distinct strands in grades K–2, and combines them into one integrated strand in grades 3–5.

Grades K–2:
Every day, students in grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds robust background knowledge to access complex text in the Amplify Caminos Conocimiento 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:
In grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands 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.

What do Amplify Caminos students explore?

Amplify Caminos builds students’ knowledge about the world.

In addition to teaching all students to crack the written code (which is vital for equity), the Amplify Caminos program helps students see the strengths and experiences we all share while celebrating their own unique identities and experiences.

This is accomplished through the exploration of topics and text that feature people who resemble students and familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.
 

Engaging domains

Amplify Caminos builds knowledge coherently across subjects and grades.

Throughout the program, students use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups.

Carefully selected to build from year-to-year, our grade-appropriate topics help students make and deepen connections while also reading, writing, and thinking creatively and for themselves.

Curriculum flowchart for Kindergarten to Grade 5, showing subject progression in language, science, and social studies, with highlighted and connected units.

New Knowledge Research Units for Grades K–5

Our brand-new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: El arte y el mundo que nos rodea
  • Grade 1: Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: ¡A volar! La era de la aviación
  • Grade 3: Jazz y más
  • Grade 4: Energía: pasado, presente y futuro
  • Grade 5: Más allá de Juneteenth: de 1865 al presente

Units will be made available in English and Spanish, and will include the following components:

Why we added this unit:
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. El arte y el mundo que nos rodea honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the world around them.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Caminos domains: GranjasPlantas, and Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, even as they have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Georgia O’Keeffe por Erica Salcedo
  • Yayoi Kusama: De aquí al infinito por Sarah Suzuki
  • Tejedora del arcoíris por Linda Elovitz Marshall
  • Las tijeras de Matisse por Jeanette Winter
  • El museo por Susan Verde
  • Quizás algo hermoso: Cómo el arte transformó un barrio por F. Isabel Campoy

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in the previous grade.

  • Rimas y fábulas infantiles (Kindergarten)
  • Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Cuentos de aventuras: relatos desde los confines de la Tierra. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name Is Gabito/Me llamo Gabito por Monica Brown
  • Galápagos Girl/Galapagueña por Marsha Diane Arnold
  • My Name Is Gabriela/Me llamo Gabriela por Monica Brown
  • El viaje de Kalak por María Quintana Silva y Marie-Noëlle Hébert
  • Señorita Mariposa por Ben Gundersheimer
  • Sharuko, el arqueólogo peruano/Peruvian Archaeologist Julio C. Tello por Monica Brown
  • Abuelita fue al mercado por Stella Blackstone

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aida de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered earlier in the year.

  • La civilización griega antigua (Grade 2)
  • Mitos griegos (Grade 2)
  • La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in ¡A volar! La era de la aviación. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡A volar! Todo sobre aviones por Jennifer Prior
  • Amelia sabe volar por Mara dal Corso
  • Héroes de la aviación que cambiaron el mundo por Dan Green
  • El niño que alcanzó las estrellas por José M. Hernández
  • La niña que aprendió a volar por Sylvia Acevedo
  • Buenas Noches Capitán Mamá por Graciela Tiscareño-Sato

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

How this unit builds knowledge:
Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡Esquivel! Un artista del sonido de la era espacial por Susan Wood
  • Ray Charles por Sharon Bell Mathis
  • Tito Puente, el Rey del Mambo por Monica Brown
  • Me llamo Celia, la vida de Celia Cruz por Monica Brown
  • ¡Azúcar! por Ivar Da Coll

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades as well as earlier in the year.

  • Plantas (Grade K)
  • La historia de la Tierra (Grade 1)
  • ¡Eureka! Estudiante inventor (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energía: pasado, presente y futuro. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • La historia de los combustibles fósiles por William B. Rice
  • El niño que domó el viento por William Kamkwamba y Bryan Mealer

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades.

  • Los nativos americanos (Grade K)
  • Una nueva nación: la independencia de los Estados Unidos (Grade 1)
  • La Guerra Civil de los Estaods Unidos (Grade 2)
  • La inmigración (Grade 2)
  • Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Más allá de Juneteenth: de 1865 al presente
. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Martí’s Song for Freedom/Martí y sus versos por la libertad escrito por Emma Otheguy
  • ¡Celebremos Juneteenth! escrito por Carole Boston Weatherford
  • Side by Side/Lado a Lado: The Story of Dolores Huerta and Cesar Chavez/La Historia de Dolores Huerta y César Chávez escrito por Monica Brown
  • Canto de alabanza para el día: Poema para la ceremonia inaugural del mandato de Barack Obama escrito por Elizabeth Alexander, traducido por Rodrigo Rojas

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Diverse texts

Amplify Caminos puts a variety of texts in the hands of students every day.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors. In addition to featuring a diverse range of authors and topics, our texts represent individuals and characters with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.

Amplify Caminos texts include:

  • Authentic literature: Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.
  • Decodable Student Readers: Amplify Caminos is built on the conviction that equitable instruction is vital to an effective program. Decodable Student Readers at grades K–2 are newly re-designed to celebrate students’ diverse experiences and feature individuals with a broad range of identity factors, including socioeconomic status, age, ability, race, ethnicity, country of origin, religion, and more.
  • ReadWorks® texts: Amplify and ReadWorks have partnered to deliver high-quality texts curated to support the Amplify Caminos Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.
Three book covers displaying children's books in spanish, each featuring colorful and stylized illustrations related to cultural stories.

Amplify Caminos Trade Book Collection Guide

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.

Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Three connected orange blocks labeled

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

A collage of illustrated book covers, including themes of Don Quixote, space exploration, and anthropomorphic animals in various scenarios, all enriched with Spanish language elements.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Systematic and cohesive writing instruction

Writing instruction in Amplify Caminos builds systematically and cohesively within and across grades.

In Grades K-2, writing mechanics—including handwriting and spelling—are taught in the Amplify Caminos Lectoescritura strand. Starting in Grade 1, instruction includes four steps in the writing process: planning, drafting, editing, and publishing and features lessons that have modeling, collaboration, and sharing. As students gain skills and confidence, they are able to take on more of these steps independently. Students learn to use planning techniques, including brainstorming and graphic organizers.

Beginning in Grade 4, the Amplify Caminos writing process expands to also include sharing and evaluating. In Grades 4 and 5, the writing process is no longer conceptualized as a series of scaffolded, linear steps (an important change from the Grade 3 writing process). Rather, students move between components of the writing process in a flexible manner, similar to the process mature and experienced writers follow naturally.

young male students writing with a pencil

Amplify Caminos’ writing instruction provides a clear progression through the text types in each grade.

Because Amplify Caminos has two strands of lessons in Grades K-2, Lectoescritura and Conocimiento, students are exposed to both narrative and informational texts throughout the year. In Grades 3-5, the integrated units feature study in literary, informational, or a mix of both types of texts, depending on the content of the unit.

  • Grades K–2 introduce and establish the key elements of each text type, allowing students to gain comfort and confidence writing narratives, opinions, and informative texts. This enables students to practice thinking about content in different ways, offering more depth and breadth to their understanding of core content and of the writing text types.
  • By Grade 3, students will have gained significant practice in narrative, opinion/argumentative, and informational/explanatory forms of writing and will continue to apply those skills through Grade 5.

How does Amplify Caminos integrate with the other parts of the literacy system?

Amplify Caminos + mCLASS® Lectura

Achieve complete parity between English and Spanish assessments with mCLASS Lectura for K–6. mCLASS Lectura allows teachers to connect with their Spanish-speaking students face-to-face, one-on-one, and in the language most comfortable to them. The result? Valid and reliable student data reports
available in both English and Spanish, enabling teachers to pinpoint where their Spanish-speaking or emergent bilingual students really are in their skill development and what instruction to prioritize.

Reading assessment validated for benchmark, progress monitoring, and dyslexia screening

Amplify Caminos + Amplify Reading

Amplify Reading is an engaging, adaptive digital program that extends the learning in Amplify Caminos. Amplify Reading offers support to a large sub-group of English learners (ELs) through Spanish voice-over. Spanish voiceover instructions are available in vocabulary and sentence-level comprehension games so ELs can build their vocabulary, language, and critical comprehension skills before moving into analyzing complex texts

Spanish Support

Demo access and sample materials

Ready to explore on your own? First, watch the videos below to learn about the program’s components and how to navigate the digital platform.

Physical materials walkthrough video



Digital navigation video

Demo access

Next, follow the instructions below to access your demo account.

Laptop screen displaying a login page for
  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.sfusdreviewer@demo.tryamplify.net
  • To explore as a student, enter this username: s1.sfusdreviewer@demo.tryamplify.net
  • Enter the password: Amplify1-sfusdreviewer
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Sample materials

Finally, click on the grade levels below to explore your requested sample units.

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.
Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

Additional resources

Amplify Caminos for SFUSD

Amplify Caminos is an authentic elementary Spanish language arts program. Like its English language counterpart, Amplify CKLA, Amplify Caminos provides explicit, systematic foundational skills instruction sequenced with deep knowledge-building content to foster comprehension. When used with Amplify CKLA, Amplify Caminos provides full parity across English and Spanish that’s suitable for any dual language implementation model.

Colorful illustration featuring a child in traditional Andean clothing, tropical plants, a volcano, a toucan, a horse rider, and the word "Gracias!" written in Spanish.

Amplify and SFUSD Partnership

We recognize and respect the unique differences of each of our partnering districts—and that includes San Francisco USD.

Out of the box, Amplify Caminos offers districts a rich, comprehensive, research-based SELA experience. That said, no two districts are exactly alike. To that end, we are committed to working with San Francisco USD to ensure that Amplify Caminos addresses the needs of your community. This includes providing implementation guidance and support, as well as collaborating with your staff to determine which domains need to be modified or exchanged.

What is Amplify Caminos?

Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

  • Authentic instruction built from the ground up for the Spanish language.
  • A unique research-based approach truly built on the Science of Reading.
  • A combination of explicit foundational skills with meaningful knowledge-building.
  • Embedded support and differentiation that gets all students reading grade-level texts together.
  • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.

Watch the video below to learn more about Amplify Caminos for Grades K–2.

Watch the video below to learn more about Amplify Caminos for Grades 3–5.

How does Amplify Caminos work?

Amplify Caminos is built on the science of how kids learn to read—in Spanish.

Amplify Caminos is all about helping you teach students how to read, all while giving them authentic and engaging reasons to read. That’s why Amplify Caminos develops foundational skills and builds knowledge in tandem.

  • Knowledge: Through complex and authentic Spanish read-alouds with an emphasis on classroom interactivity, oral comprehension, and contextual vocabulary, students start to build their awareness of the world around them—and the way the reading skills they’re building give them access to it.
  • Skills: Starting with the sounds at the core of the Spanish
    language, students practice their phonemic awareness, handwriting skills, vocabulary, spelling, and grammar. Through daily practice, students become aware of the connection between reading and writing, building confidence as they go.
A diagram illustrating reading development as intertwined strands: language comprehension and word recognition, progressing from basic skills to increasingly strategic and automatic reading.

Respecting the development differences between grade ranges, Amplify Caminos teaches foundational skills and background knowledge as two distinct strands in grades K–2, and combines them into one integrated strand in grades 3–5.

Grades K–2:
Every day, students in grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds robust background knowledge to access complex text in the Amplify Caminos Conocimiento 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:
In grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands 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.

What do Amplify Caminos students explore?

Amplify Caminos builds students’ knowledge about the world.

In addition to teaching all students to crack the written code (which is vital for fairness), the Amplify Caminos program helps students see the strengths and experiences we all share while celebrating their own unique identities and experiences.

This is accomplished through the exploration of topics and text that feature people who resemble students and familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.

Engaging domains

Amplify Caminos builds knowledge coherently across subjects and grades.

Throughout the program, students use their skills to explore domains that relate to storytelling, science, and the history of our world as seen through the eyes of many different groups.

Carefully selected to build from year-to-year, our grade-appropriate topics help students make and deepen connections while also reading, writing, and thinking creatively and for themselves.

Curriculum flowchart showing reading themes and activities from Kindergarten to Grade 5, organized by grade level and literary theme, with interconnected boxes for each topic.

New Knowledge Research Units for Grades K–5

Our brand-new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

  • Adding more content for students from all walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: El arte y el mundo que nos rodea
  • Grade 1: Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: ¡A volar! La era de la aviación
  • Grade 3: Jazz y más
  • Grade 4: Energía: pasado, presente y futuro
  • Grade 5: Más allá de Juneteenth: de 1865 al presente

Units will be made available in English and Spanish, and will include the following components:

  • Teacher Guide
  • Student Activity Books
  • Image Cards
  • Trade Book Collection
  • Digital Components (for Grades K–3 and Grade 5 only)

Why we added this unit:
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. El arte y el mundo que nos rodea honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the world around them.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Caminos domains: GranjasPlantas, and Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, even as they have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Georgia O’Keeffe por Erica Salcedo
  • Yayoi Kusama: De aquí al infinito por Sarah Suzuki
  • Tejedora del arcoíris por Linda Elovitz Marshall
  • Las tijeras de Matisse por Jeanette Winter
  • El museo por Susan Verde
  • Quizás algo hermoso: Cómo el arte transformó un barrio por F. Isabel Campoy

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in the previous grade.

  • Rimas y fábulas infantiles (Kindergarten)
  • Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Cuentos de aventuras: relatos desde los confines de la Tierra. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name Is Gabito/Me llamo Gabito por Monica Brown
  • Galápagos Girl/Galapagueña por Marsha Diane Arnold
  • My Name Is Gabriela/Me llamo Gabriela por Monica Brown
  • El viaje de Kalak por María Quintana Silva y Marie-Noëlle Hébert
  • Señorita Mariposa por Ben Gundersheimer
  • Sharuko, el arqueólogo peruano/Peruvian Archaeologist Julio C. Tello por Monica Brown
  • Abuelita fue al mercado por Stella Blackstone

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aida de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered earlier in the year.

  • La civilización griega antigua (Grade 2)
  • Mitos griegos (Grade 2)
  • La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in ¡A volar! La era de la aviación. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡A volar! Todo sobre aviones por Jennifer Prior
  • Amelia sabe volar por Mara dal Corso
  • Héroes de la aviación que cambiaron el mundo por Dan Green
  • El niño que alcanzó las estrellas por José M. Hernández
  • La niña que aprendió a volar por Sylvia Acevedo
  • Buenas Noches Capitán Mamá por Graciela Tiscareño-Sato

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

How this unit builds knowledge:
Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • ¡Esquivel! Un artista del sonido de la era espacial por Susan Wood
  • Ray Charles por Sharon Bell Mathis
  • Tito Puente, el Rey del Mambo por Monica Brown
  • Me llamo Celia, la vida de Celia Cruz por Monica Brown
  • ¡Azúcar! por Ivar Da Coll

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades as well as earlier in the year.

  • Plantas (Grade K)
  • La historia de la Tierra (Grade 1)
  • ¡Eureka! Estudiante inventor (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energía: pasado, presente y futuro. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • La historia de los combustibles fósiles por William B. Rice
  • El niño que domó el viento por William Kamkwamba y Bryan Mealer

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Why we added this unit:
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

How this unit builds knowledge:
This unit builds upon the following Caminos units that students will have encountered in previous grades.

  • Los nativos americanos (Grade K)
  • Una nueva nación: la independencia de los Estados Unidos (Grade 1)
  • La Guerra Civil de los Estaods Unidos (Grade 2)
  • La inmigración (Grade 2)
  • Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Más allá de Juneteenth: de 1865 al presente
. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Trade books in this unit:
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Martí’s Song for Freedom/Martí y sus versos por la libertad escrito por Emma Otheguy
  • ¡Celebremos Juneteenth! escrito por Carole Boston Weatherford
  • Side by Side/Lado a Lado: The Story of Dolores Huerta and Cesar Chavez/La Historia de Dolores Huerta y César Chávez escrito por Monica Brown
  • Canto de alabanza para el día: Poema para la ceremonia inaugural del mandato de Barack Obama escrito por Elizabeth Alexander, traducido por Rodrigo Rojas

Sample materials:
Take a sneak peek at the rich instruction and engaging activities for this unit by viewing the PDFs below.

Wide-ranging texts

Amplify Caminos puts a variety of texts in the hands of students every day.

Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors. Our texts feature a wide variety of authors, topics, individuals and characters representing many different socioeconomic statuses, ages, abilities, races, ethnicities, countries of origin, religions, and more.

Amplify Caminos texts include:

  • Authentic literature: Authentic literature exposes students to a variety of text types and perspectives to deepen their knowledge of fascinating topics in social studies, science, literature, and the arts. Authentic texts support text-to-self, text-to-world, and text-to-text connections for readers.
  • Decodable Student Readers: Decodable Student Readers at grades K–2 are newly redesigned to include students from all walks of life and educational backgrounds. They feature characters with a broad range of backgrounds, experiences, ages, races, religions, and more.
  • ReadWorks® texts: Amplify and ReadWorks have partnered to deliver high-quality texts curated to support the Amplify Caminos Knowledge Sequence and to extend student learning. Texts include high-interest nonfiction articles in topics in social studies, science, literature, and the arts. These texts are accompanied by vocabulary supports and standards-aligned formative assessment opportunities. Teachers can monitor their students’ progress using the ReadWorks reporting features.
Three children's book covers in Spanish are shown: "La Flor de Oro," "El conejo en la Luna," and "El secreto de las hormigas," each featuring illustrated artwork.

Amplify Caminos Trade Book Collection Guide

Each book in our authentic literature collection was selected specifically to support and enhance the content of the K-2 Conocimiento Strand. These anchor texts are intended for use as an introduction to each domain—engaging students, piquing their curiosity, and building initial background knowledge—before diving into the deeper content of the domain Read-Alouds.

Every trade book has an instructional guide that includes the following:

  • Author and illustrator
  • Book summary
  • The Essential Question of the Knowledge domain, connecting the book to the domain
  • Key Tier 2 and Tier 3 vocabulary words found in the book
  • A group activity to reinforce and extend students’ knowledge and understanding
  • A performance task to help gauge students’ comprehension of concepts in the text
  • Writing prompts to expand understanding and critical thinking
  • Text complexity ratings and descriptors for quantitative, qualitative, and reader/task categories

Download the Amplify Caminos Trade Book Collection Guide for Grades K–2.

Detailed information about text complexity ratings and descriptors; additional uses for the books before, during, and after domain instruction; and the complete list of domains and books for each grade level can be found in the More About the Books section of this guide.

What makes Amplify Caminos different?

Built on the Science of Reading

Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

Flowchart showing "Language comprehension" times "Word recognition" equals "Skilled reading," with text in both Spanish and English inside orange boxes.

Explicit systematic skills instruction

The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

Coherent knowledge instruction

While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

Embedded differentiation for all learners

Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

  • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
  • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
  • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

Systematic and cohesive writing instruction

Writing instruction in Amplify Caminos builds systematically and cohesively within and across grades.

In Grades K-2, writing mechanics—including handwriting and spelling—are taught in the Amplify Caminos Lectoescritura strand. Starting in Grade 1, instruction includes four steps in the writing process: planning, drafting, editing, and publishing and features lessons that have modeling, collaboration, and sharing. As students gain skills and confidence, they are able to take on more of these steps independently. Students learn to use planning techniques, including brainstorming and graphic organizers.

Beginning in Grade 4, the Amplify Caminos writing process expands to also include sharing and evaluating. In Grades 4 and 5, the writing process is no longer conceptualized as a series of scaffolded, linear steps (an important change from the Grade 3 writing process). Rather, students move between components of the writing process in a flexible manner, similar to the process mature and experienced writers follow naturally.

young male students writing with a pencil

Amplify Caminos’ writing instruction provides a clear progression through the text types in each grade.

Because Amplify Caminos has two strands of lessons in Grades K-2, Lectoescritura and Conocimiento, students are exposed to both narrative and informational texts throughout the year. In Grades 3-5, the integrated units feature study in literary, informational, or a mix of both types of texts, depending on the content of the unit.

  • Grades K–2 introduce and establish the key elements of each text type, allowing students to gain comfort and confidence writing narratives, opinions, and informative texts. This enables students to practice thinking about content in different ways, offering more depth and breadth to their understanding of core content and of the writing text types.
  • By Grade 3, students will have gained significant practice in narrative, opinion/argumentative, and informational/explanatory forms of writing and will continue to apply those skills through Grade 5.

How does Amplify Caminos integrate with the other parts of the literacy system?

Amplify Caminos + mCLASS® Lectura

Achieve complete parity between English and Spanish assessments with mCLASS Lectura for K–6. mCLASS Lectura allows teachers to connect with their Spanish-speaking students face-to-face, one-on-one, and in the language most comfortable to them. The result? Valid and reliable student data reports
available in both English and Spanish, enabling teachers to pinpoint where their Spanish-speaking or emergent bilingual students really are in their skill development and what instruction to prioritize.

A laptop screen displays a slide describing the Lectura data-driven instructional cycle with sections for Assessment, Reporting, and Instruction, each illustrated with sample interface screenshots.

Amplify Caminos + Amplify Reading

Amplify Reading is an engaging, adaptive digital program that extends the learning in Amplify Caminos. Amplify Reading offers support to a large sub-group of English learners (ELs) through Spanish voice-over. Spanish voiceover instructions are available in vocabulary and sentence-level comprehension games so ELs can build their vocabulary, language, and critical comprehension skills before moving into analyzing complex texts

Language selection screen with options for English and Spanish, and an illustrated girl saying “¡Hola!” in a speech bubble. The heading reads “Idiomas.”.

Demo access and sample materials

Ready to explore on your own? First, watch the videos below to learn about the program’s components and how to navigate the digital platform.

Physical materials walkthrough video

Digital navigation video

Demo access

Next, follow the instructions below to access your demo account.

  • Click the CKLA and Caminos Demo button below.
  • Select Log in with Amplify.
  • To explore as a teacher, enter this username: t1.sfusdreviewer@demo.tryamplify.net
  • To explore as a student, enter this username: s1.sfusdreviewer@demo.tryamplify.net
  • Enter the password: Amplify1-sfusdreviewer
  • Click the Programs and apps menu
  • Select CKLA Teacher Resource Site
  • Select the desire grade level
  • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

Sample materials

Finally, click on the grade levels below to explore your requested sample units.

Additional resources

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.

Get more information.

Have a question about Amplify Desmos Math California? 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

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

Amplify’s Subprocessors

This page provides the current list of third party service providers that Amplify engages to help us provide our services and may have access to Personal Information of our customers (“Subprocessors”) as outlined in Amplify’s Customer Privacy Policy.

How to get notified of changes

Please use the “Subscribe to Updates” functionality at the top of the page to receive emails from Amplify regarding updates to the list of Subprocessors and/or changes to the information provided on this page. Should you choose not to use this functionality to receive email notifications, it is our expectation that you check the link regularly for any updates.

Our commitments regarding Service Providers

All of the Subprocessors listed below have a legitimate need to access Personal Information in order to provide their service to Amplify as a part of Amplify’s provision of the services to our customers. With regard to Subprocessors, Amplify commits to:

  • Conduct due diligence on the data privacy and security measures of new Subprocessors before providing access to Personal Information and monitor on an annual basis thereafter. As part of this process, Amplify reviews the Subprocessor’s security documentation, practices, and posture to ensure alignment with Amplify’s information security program and standards;
  • Enter into a written agreement which requires at least the same level of protection for Personal Information and individuals as set out in Amplify’s Customer Privacy Policy and our agreements with customers, as applicable, before providing access to Personal Information;
  • Restrict the Subprocessor’s access to Personal Information to only what is necessary to fulfill our contractual obligations or as otherwise permitted under the agreements with our customers or under applicable data privacy laws; and
  • Remain liable for any processing of Personal Information carried out by Subprocessors to the same extent we would be liable if performing the services ourselves.

Subprocessors

Amplify’s Subprocessors of Personal Information are:

Subprocessor Purpose Location Student Data Educator Data
Amazon Web Services Cloud hosting services United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Anthology (formerly Blackboard) Video conferencing and attendee tracking for tutoring services United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Boomi, Inc. Data integration United States   A large, light peach-colored checkmark on a transparent background.
Datadog Performance and security monitoring United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
dbt Labs, Inc. Run database queries United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Egnyte, Inc. Secure file exchange United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Fivetran, Inc. Database loading United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Gainsight, Inc. Customer support United States   A large, light peach-colored checkmark on a transparent background.
Google, LLC Cloud hosting services United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
Google, LLC (Looker) Data warehouse analytics United States A large, light peach-colored checkmark on a transparent background.
A large, light peach-colored checkmark on a transparent background.
HubSpot Email delivery United States   A large, light peach-colored checkmark on a transparent background.
MongoDB, Inc. Database hosting United States A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Salesforce Customer relationship management United States   A large, light peach-colored checkmark on a transparent background.
SchoolDay (formerly GG4L) Secure rostering United States A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Snowflake, Inc. Database hosting United States A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Talkdesk, Inc. Customer support United States   A large, light peach-colored checkmark on a transparent background.
Twilio, Inc. (Sendgrid) Email delivery United States A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.

Updates

Date of Change Change Notes
October 10, 2025 Changed Blackboard to Anthology and GG4L to SchoolDay. Update MongoDB purpose. Added Datadog to the Students Subprocessor List. Created Educators Subprocessor List. Anthology and SchoolDay updated their corporate branding. Added list of Educator Data Subprocessors to clarify which partners process educator data.
June 14, 2024
Removed Desmos Studio, PBC, Qualfon Data Services Group, LLC, and Zendesk, Inc. These partners and services are no longer used for customer support.
July 27, 2023
Added Fivetran
September 15, 2022
Corrected name of Desmos Studio, PBC.
July 21, 2022 Added Desmos Collective LLC, Google, MongoDB, Twilio, and Zendesk These services support Mathigon.org and Desmos Classroom
July 20, 2022 Added Qualfon Data Services Group, LLC
October 4, 2021 Added Blackboard, Inc.
July 26, 2021 Fishtown Analytics, Inc. renamed to dbt Labs, Inc.
June 17, 2021 Updated with data warehousing and roster services providers
May 28, 2021 Initial public posting.

Amplify Classroom and Polypad free and commercial use guidelines

If you’d like to use Amplify’s tools or content in your work, please review these guidelines to determine if your specific use is allowed and whether you need to submit a request for approval.

Overview

Amplify Classroom offers free prebuilt interactive and print-based lessons, interactive lesson-building tools, and Polypad virtual manipulatives. See amplify.com/classroom and polypad.amplify.com for more information.

Amplify Classroom features:

  • Activity Builder (labeled “Custom Activities” in the platform): This content-creating and publishing tool enables educators to create their own interactive lessons and edit existing lessons.
  • Polypad virtual manipulatives: These virtual manipulatives allow teachers and students to explore concepts, express their creativity, and visualize their thinking. Polypad virtual manipulatives can be embedded directly into lessons via Activity Builder or used as a stand-alone, dynamic workspace.
  • Computation Layer: This feature enables educators to further customize lessons created with Activity Builder. Computation Layer is the code that allows components within the lessons to “talk” to one another, enabling users to connect representations; customize content; and provide dynamic, interpretive feedback. Computation Layer is accessible through Activity Builder.

Amplify Classroom includes activities and lessons across many subjects, created by the thousands of educators on our platform. Content created by Amplify is tagged “By Amplify,” “By Amplify Classroom,” or “By Desmos Classroom.”

Amplify also publishes paid core curriculum programs, including Amplify Desmos MathAmplify ScienceAmplify CKLAAmplify Caminos, and Amplify ELA. These products can be reviewed and purchased by schools or districts interested in comprehensive resources aligned to standards and designed to motivate students. Some of the lessons that are free to use on Amplify Classroom (labeled Try It! lessons) are also part of these paid products. Learn more about our products and request a sample.

Amplify Classroom tools and content (other than paid products) are free for personal, educational, and non-commercial use, subject to our Acceptable Use Policy and Usage Guidelines. These guidelines also permit certain commercial uses. You generally don’t need to submit a request to use our free tools and resources for the permitted purposes covered in these guidelines. As long as you are following our Acceptable Use Policy and Usage Guidelines, as well as making appropriate Attributions and Disclaimers, you are permitted to move forward with your project. To make sure your use is permitted, please read these guidelines thoroughly and in their entirety. If you would like to explore a license for a use not permitted here, please submit this form.

Amplify does not own but partners with Desmos Studio, the maker of a suite of free math tools, including a graphing calculator used by over 75 million people around the world. (See desmos.com for more information.) Please contact Desmos Studio for information on using their content or tools.

Usage guidelines

Please adhere to the following guidelines for using Amplify Classroom tools and content in each of the scenarios set out below. You are required to follow our General Guidelines and Attribution requirements below when making permitted uses. You are responsible for clearing any third party marks and content you use in your applications or publications.

Uses labeled “PERMITTED USES” do not require permission, and you do not need to tell us about them—but we do appreciate hearing from you! Feel free to fill out this form to tell us about how you are using our tools and materials, and the ways in which you are finding them useful.

Uses labeled “CONTACT US” do require permission. If you are interested in such use, please submit this form, and someone from our team will endeavor to follow up with you as soon as possible.

Teaching and education services

This section provides guidelines on using Amplify Classroom for teaching and education services.

PERMITTED USES A green checkmark symbol on a light background. Educators creating, modifying (where permitted), and using Amplify Classroom content for classroom teaching in a school
  A green checkmark symbol on a light background. Public school districts, charter schools, and networks creating, modifying (where permitted) and using Amplify Classroom content for classroom teaching
  A green checkmark symbol on a light background. Private tutors creating or using Amplify Classroom content in 1:1 or small-group tutoring sessions
CONTACT US A large red "X" symbol on a light gray background. For-profit school or network of schools implementing Amplify Classroom for the school or network
  A large red "X" symbol on a light gray background. Education publishers and EdTech organizations (whether for profit or non-profit) using or linking to Amplify Classroom content and tools
  A large red "X" symbol on a light gray background. Any organizations or individuals embedding the teaching and learning experience from the Amplify Classroom lessons in their websites or applications (except API/iFrames Polypad integrations permitted below)
  A large red "X" symbol on a light gray background. Educators or other individuals authoring lessons for commercial purposes (e.g., to sell on Teachers Pay Teachers and similar websites)
  A large red "X" symbol on a light gray background. School districts, states, education publishers or technology providers, educators or any other individual or organization (whether for profit or non-profit) using Amplify Classroom content or platform to create paid curricula, educational courses, assessments, or any materials or curricula for submission for a state adoption list; or for offering, marketing, or sale to any schools or educational agencies or organizations, in or outside of the U.S.
  A large red "X" symbol on a light gray background. Instructional/tutoring organizations (whether for profit or non-profit), seeking to use Amplify Classroom for its tutors or instructors

Print and presentations

This section provides guidelines on including content from Amplify Classroom, such as portions of free lessons or images generated using our tools, in printed materials or presentations.

PERMITTED USES A green checkmark symbol on a light background. Books, including textbooks, up to two thousand copies
  A green checkmark symbol on a light background. Periodicals (newspapers, magazines, journals, etc.)
  A green checkmark symbol on a light background. Business documents such as company reports, proposals, presentations, etc.
  A green checkmark symbol on a light background. Academic publications, research papers, Ph.D. theses, and portfolios
  A green checkmark symbol on a light background. Conferences, presentations and accompanying slides
CONTACT US A large red "X" symbol on a light gray background. Books, more than two thousand copies, or as cover art for a book
  A large red "X" symbol on a light gray background. As content within platforms, mobile and tablet applications, PDFs, ebooks, multimedia materials, or other digital resources or products
  A large red "X" symbol on a light gray background. Consumer and retail goods or packaging (e.g., shirts, beach towels, shower curtains, mugs, posters, stationery)

Web and apps

This section provides guidelines for embedding Amplify Classroom tools into your platform.

PERMITTED USESA green checkmark symbol on a light background.Individuals and schools embedding Polypad in their materials for instructional use are permitted to do so; for integration options, see below.
 A green checkmark symbol on a light background.Organizations (whether for profit or non-profit) offering paid services embedding Polypad with <10k requests per year
CONTACT USA large red "X" symbol on a light gray background.Organizations (whether for profit or non-profit) offering paid services embedding Polypad with >10k requests per year
 A large red "X" symbol on a light gray background.Individuals or organizations looking to embed Activity Builder/Computation Layer in their applications
 A large red "X" symbol on a light gray background.Individuals or organizations looking to embed Amplify Classroom tools in larger applications, more complex integrations, white-labeling, or hosting Amplify’s JS files on their own infrastructure
 A large red "X" symbol on a light gray background.Polypad links, screenshots, iFrames, or API uses behind a paywall

Polypad integration options

There are two integration options for using Polypad within your own applications, including:

  • Using iFrames hosted by Amplify.
  • As a white-labeled JavaScript API that can be self-hosted and embedded in other websites or apps.

Developers can customize the features and behavior through numerous options and event listeners, and interact with the canvas programmatically to build custom functionality.

Visit the Polypad API page to learn more about Polypad API license terms and to generate API Key.

General guidelines

Copyright fair use

Your use of our content may be acceptable under principles of fair use (or other similar concepts in other countries). Under the fair use doctrine of the U.S. Copyright Act of 1976, it is permissible to use limited portions of a work for purposes such as commentary, criticism, news reporting, research, and scholarly reports.

Whether a particular use qualifies as fair use depends on a number of factors. For more information see resources from the U.S. Copyright Office, Circular 21Reproductions of Copyrighted Works by Educators and Librarians, and Fair Use Index. Amplify can’t tell you if your use of this content would be fair use, so you may wish to obtain your own legal advice.

Use of trademarks

Our trademarks are valuable assets of Amplify and its licensors, and we want to ensure our users and partners use them correctly. These trademarks include the Amplify word mark and logo, Polypad word mark, Core Knowledge Foundation word mark and logo, the Lawrence Hall of Science word mark and logo, and the Desmos and Amplify Classroom word marks and logos.

Logos

Our logos can only be used if you have an existing partnership, and you’ve reached out to your Amplify contact to secure formal approval from Amplify’s brand team.

Logos must never be used in a way that implies an endorsement or affiliation with Amplify where such a relationship does not exist.

Please contact media@amplify.com if you need to use an Amplify or Amplify Classroom logo.

Please contact Desmos Studio for Desmos Studio branding guidelines and licensing.

Use of product names and features

If making a use permitted under these guidelines or approved by Amplify, you may use the Amplify name or one of our product names or features in plain text to indicate that your product or service integrates with, or relates to, an Amplify product or service.

However, all references must be honest and accurate, and you can’t incorporate these names into your own name or imply an endorsement by Amplify or any of its licensors.

REQUIREDA green checkmark symbol on a light background.Use the complete name “Amplify Classroom” when referencing the platform.
 A green checkmark symbol on a light background.Use “Amplify Classroom lessons” when talking about specific lessons authored in the Amplify Classroom platform.
 A green checkmark symbol on a light background.Use “Teacher-created Amplify Classroom lessons” or “[Company name]-authored Amplify Classroom lessons” when talking about a lesson that has been authored by anyone other than Amplify personnel.
 A green checkmark symbol on a light background.Include required attribution and disclaimers.
PROHIBITEDA large red "X" symbol on a light gray background.Do not imply an endorsement or affiliation with Amplify where such a relationship does not exist.

Attribution and disclaimers

You are required to include a link to the homepage of Amplify Classroom (amplify.com/classroom) and a prominent disclaimer of affiliation when making permissible uses described above in at least one place in your materials, preferably the cover page or landing page.

Visit Amplify Classroom for free lessons, lesson-building tools, and Polypad virtual manipulatives at amplify.com/classroom. This content is not affiliated with, sponsored by, or endorsed by Amplify or any of its licensors. Amplify®, Amplify Classroom, and related trademarks are the property of Amplify Education, Inc.

If your current attribution language refers to Desmos Classroom, please update the attribution to “Amplify Classroom” instead of “Desmos Classroom.”

Contact us

Amplify Classroom and Polypad usage inquiry form for uses labeled “Contact Us”

Thank you for your interest in using Amplify Classroom and/or Polypad. If your intended use falls into one of the categories labeled “Contact us,” please fill out this form, so we can determine the appropriate permissions or licenses:

Country(Required)
Agreement and Next Steps(Required)

Amplify Classroom and Polypad usage inquiry form for uses labeled “Permitted”

Thank you for your interest in using Amplify Classroom and/or Polypad. If your intended use falls under the “Permitted” categories outlined in our use guidelines, please let us know by filling out the form below. This helps us understand how our tools are being used.

Note: If your intended use falls under one of the “CONTACT US” categories outlined in our use guidelines, please fill out this form.

Amplify Classroom and Polypad Permitted Use Form

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

GO Math!-NEW

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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

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 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

Customer Privacy Policy

Last Modified: January 23, 2026 | Update History

Most recent update: This Privacy Policy has been updated to address additional rights for individuals in the European Union/UK.

We advise you to read this Privacy Policy in its entirety, including the jurisdiction-specific provisions in the appendix. Click here to review Our U.S. Notice At Collection.

Customer Privacy Policy: K–12 Schools

Who We Are

Amplify Education, Inc. (“Amplify”) is leading the way in next-generation curriculum and assessment. Amplify’s programs provide teachers with powerful tools that help them understand and respond to the needs of each student and use data in a way that is safe, secure, and effective.

Our Products and Services

Amplify’s products support classroom instruction and learning and include Amplify CKLA, Amplify ELA, Amplify Caminos, Amplify Science, Amplify Desmos Math, Boost Reading, Boost Math, mCLASS, Mathigon, associated professional development and tutoring services, and 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 Privacy Policy (together, the “Products”).

Our Approach to Student Data Privacy 

In the course of providing the Products to Schools and their Authorized School Users, Amplify collects, receives, generates, or has access to Student Data (defined below). We consider Student Data to be confidential and we collect and use Student Data solely for educational purposes in connection with providing our Products to, or on behalf of the School as described in this Privacy Policy and our Agreements (defined below). We work to maintain the security and confidentiality of Student Data that we collect or store, and we enable Schools to control the use, access, sharing, and retention of Student Data.

Our Products are geared towards K–12 students (“Students”), and the educators, agents and staff members who use the Products as authorized by their School (“Educators”). Information that directly relates to an identifiable Student (“Student Data”) 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”).

Our collection and use of Student Data is governed by our Agreements with Schools, including this Privacy Policy (“Privacy Policy”), and applicable laws which may include FERPA, COPPA, the Protection of Pupil Rights Amendment (“PPRA”), as well as other applicable federal, state, and local privacy laws and regulations (“Applicable Laws”). As noted above, with respect to FERPA, Amplify receives Student Data as a “school official” under Section 99.31 of FERPA for the purpose of providing its Products, and such Student Data is owned and controlled by the School.

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 written agreement between Amplify and the School, as applicable; or
  2. by an Educator agreeing to the Acceptable Use Policy located at amplify.com/acceptable-use-policy/ (“AUP”) on behalf of the School as outlined in the AUP.

In each case, we collect Student Data and provide these Products solely for the use and benefit of the School and for no other commercial purpose. We require all Schools to review this Privacy Policy, available at amplify.com/customer-privacy, 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 an account for use of our Products at-home or otherwise outside of the authorization of a School (“Home Users”). See the Appendix–Supplemental Disclosures for additional information that applies to our Home Users.

What This Privacy Policy Covers 

This Customer Privacy Policy (“Privacy Policy”) describes how Amplify collects, uses, and discloses personal information through the provision of Products.

For purposes of this Privacy Policy, “you” and “your” means Authorized Users (defined below).

This Privacy Policy does not apply to Amplify’s handling of:

  • information collected from users of Amplify’s company website, which is governed by our Website Privacy Policy.
  • job applicant data that we process in accordance with our applicant privacy notice.

There may be different contractual terms or privacy policies in place with some Schools. Such other terms or policies supersede this Privacy Policy for information collected or released under those terms. If you have any questions as to which legal agreement or privacy policy controls the collection and use of your personal information, please contact us using the information provided below. Unless expressly superseded, this Privacy Policy is incorporated into and is subject to the Agreement that governs your use of the Products.

Our Role

Amplify as a processor/service provider: Our School customers are the controllers of Student Data (as well as certain other Educator personal information to the extent required by law or Amplify’s agreement with the School) (together “School Data”).

Amplify acts as a processor/service provider for our School customers with respect to School Data, which means when we use School Data, we do so solely on the instruction of the School. School Data is subject to the School’s privacy policies; therefore, you will need to contact the School directly if you have any questions or would like to exercise your rights with respect to School Data.

Amplify as a controller: We are the controller of all other personal information we collect from non-Student Authorized Users (“Amplify Data”) and can be reached by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

Policy

1. Definitions

Capitalized terms not defined in this section or elsewhere in this Privacy Policy will have the meaning set forth by Applicable Laws.

Agreement” means the underlying contractual agreement between Amplify and the School.

Authorized Users” means all users of our Products, including Authorized School Users, parents and legal guardians, and Home Users.

Authorized School Users” means Students and Educators.

Local Education Authority” means a local education agency or authority, school district, school network, independent school, or other regional education system.

Non-Student Data” means information that is linked or linkable to Authorized Users who are not Students.

School” means the Local Education Authority or State Agency.

State Agency” means the educational agency primarily responsible for the supervision of public elementary and secondary schools in any of the 50 states, the Commonwealth of Puerto Rico, the District of Columbia, or other territories and possessions of the United States, as well as a national or regional ministry or department of education in other countries, as applicable.

2. What personal information do we collect?

When you access or use our Products, you may choose to provide us with personal information, including Student Data. This information may be provided to us directly (e.g. when an account is created or through communications with us) or through your interactions with our Products.

Student Data. Below is a list of the categories of Student Data that may be collected by Amplify or its Products, either directly or through the Authorized School User’s use of the various features and configurations of the Products:

  • Identifier and Enrollment Data, such as name, email, school / state ID number, username and password, grade level, homeroom, courses, teacher names.
    • Why? Most of Amplify’s Products require some basic information about who is in a classroom and who teaches the class—Student or teacher Identifier and Enrollment data. This information is provided to Amplify by the School, either directly from the School’s student information system or via a third party with whom the School contracts to provide that information.
  • Demographic Data, such as date of birth, socioeconomic status, race, national origin, and preferred or primary language.
    • Why? To support school instructional and reporting requirements, Amplify’s Products allow Schools to view reports and analyze data using Demographic Data. Generally, Demographic Data is provided on a voluntary basis by the School. For example, a School may wish to analyze Student literacy assessment results based on English Language Learner status to better tailor classroom instruction, and in that case, the School may provide Demographic Data to enable that reporting.
  • School Records, such as grades, attendance, assessment results, and whether an Individualized Education Plan (IEP or local equivalent) is in place.
    • Why? Some of our Products support grading assignments and administering formative, diagnostic, and curriculum-based assessments. Teachers use that information to support Students’ progress in the program or help with instructional decisions. We do not collect specific details from an IEP, nor do we collect protected health information or other sensitive information.
  • Schoolwork and Student Generated Content, which includes any information contained in Student assignments and assessments, including information in response to instructional activities and participation in collaborative or interactive features of our Products, such as Student responses to academic questions and Student-written essays, as well as images, video, and audio recordings.
    • Why? As part of the digital learning experience, some of our Products may enable Students to write text and create and upload images, video, and audio recordings. For example, in Amplify ELA, students may write essays or submit short-form responses in our platform as part of a lesson on literature. As another example, in Boost Reading, student interactions with reading skills games are recorded to keep track of the student’s progress to level up in the program and to provide visibility to teachers on how students are mastering the skills.
  • Teacher Comments and Feedback, such as scores, written comments, or other feedback that Educators may provide about Student responses or student course performance.
    • Why? To enable teachers to track the performance and provide feedback to their students.
  • Non-Student Data. We may collect the following types of personal information from all other Authorized Users:
    • Contact Information, such as name and email address, as well as grade level taught, school name and school location, whether you are an Educator or Home User that creates an account or uses our Products or communicates with us.
    • Account Information, such as user login and password, for account creation and access purposes.
    • Survey Responses, which you provide in response to surveys or questionnaires.
  • Device and Usage Data. Depending on the Product, we may collect certain information about the device used to connect to our Product, such as device type and model, browser configurations, and persistent identifiers, such as IP addresses and unique device identifiers. We may collect device diagnostic information, such as battery level, usage logs, and error logs, as well as usage, viewing, and technical information (e.g., email open rates), such as the number of requests a device makes, to ensure proper system capacity for all Authorized Users. We may collect IP addresses and use that information to approximate device location to support operation of the Product. To the extent that we collect this information, this data is solely used to support operation of the Product and is not linked to Student Data. For purposes of clarity, Amplify does not use Student Data for marketing or advertising purposes (see section 6 of this Privacy Policy for more information about our commitments regarding Student Data).
    • Why? We use this information to remember returning users and facilitate ease of login, to customize the function and appearance of the Products, and to improve the learning experience. This information also helps us track product usage for various purposes, including website optimization, to ensure proper system capacity, troubleshoot and fix errors, provide technical assistance and customer support, provide and monitor the effectiveness of our Products, monitor and address security concerns, and compile analytics for product improvement and other internal purposes.
    • How? Cookies and Similar Technologies. We collect device and usage data through “cookies,” Web beacons, HTML5 local storage, and other similar technologies, which are used in some of our Products solely to support operation of the Products as described above. While we may use third party cookies and similar technologies for advertising and marketing purposes on our website (in accordance with our Website Privacy Policy), we do not permit such tracking technologies to be present on Student-facing portions of the Products. In particular, we only use the following types of cookies in our Products:
      • Strictly necessary cookies – These are cookies that are required for the operation of our websites and applications that host our Products. They include, for example, cookies that enable you to log into secure areas of our Products. These cookies are not generally stored beyond the browser session and are less likely to include personal information. This category of cookies cannot be disabled.
      • Functionality Cookies – We use these cookies so that we recognize you on the websites and apps that host our Products and remember your previously selected preferences. These cookies are stored on your device between browsing sessions but expire after a pre-defined period. These cookies enable us to “recognize” you when you use our Products, including your preferences such as your preferred language, time, and location. A mix of first party (placed by us) and third-party cookies (placed by third parties) are used.
      • Performance Cookies – These cookies help us and service providers acting on our behalf compile statistics and analytics about users of our Products that are accessed via websites and apps, including Device and Usage Information.
    • Learn how to opt out of cookies and similar technologies by reading the “What Rights and Choices Do You Have?” section of this Privacy Policy below.

3. How do we use personal information?

Student Data. Amplify uses Student Data for educational purposes, to provide the Products, and to ensure secure and effective operation of our Products, including:

  • to provide and improve our educational Products;
  • to support School and Authorized School Users’ activities;
  • to ensure secure and effective operation of our Products;
  • for purposes requested or authorized by the School or Authorized School User or as otherwise permitted by Applicable Laws;
  • for customer support purposes, to respond to the inquiries and fulfill the requests of the School and their Authorized School Users;
  • to enforce Product access and security controls; and
  • to conduct system audits and improve protections against the misuse of our Products, or to detect and prevent fraud and other harmful activities.
  • to enable the adaptive and personalized learning features of the Products.

Non-Student Data. Amplify may use Non-Student Data for the purposes for which Student Data is used as set forth above. In addition, Amplify may use Non-Student Data to provide customized content, advertising and marketing in limited circumstances (e.g. to periodically send newsletters and other promotional materials) directed to Educators and Home Users. For sake of clarity, we do not use Student Data for marketing purposes and we do not direct marketing to Students. Amplify may also use Non-Student Data for internal research and analytics, including generating insights on the use of our Products by Educators in certain Schools so that we can better serve those communities. We will also use Non-Student Data as otherwise required or permitted by law, or as we may notify you at the time of collection. Learn how to opt out of these communications by reading the “What Rights and Choices Do You Have?” section of this Privacy Policy below.

Amplify may use aggregate or de-identified data as described in the Aggregate/De-identified Data section below.

4. To whom do we disclose personal information?

Student Data. We disclose Student Data to third parties only as needed to provide the Products under the Agreement, as directed or permitted by the School or Authorized School User, and as required by law. Such disclosures may include but are not limited to the following:

  • to other Authorized School Users of the School entitled to access such data in connection with the Products;
  • to our service providers, subprocessors, or vendors who have a legitimate need to access such data in order to assist us in providing or supporting our Products, such as platform, infrastructure, and application software. We contractually bind such parties to protect Student Data in a manner consistent with those practices set forth in this Privacy Policy and in accordance with Applicable Laws. A list of Amplify subprocessors is available at https://www.amplify.com/subprocessors;
  • to comply with the law, respond to requests in legal or government enforcement proceedings (such as complying with a subpoena), protect our rights in a legal dispute, or seek assistance of law enforcement in the event of a threat to our rights, security, or property or that of our affiliates, customers, Authorized Users, or others;
  • in the event Amplify or all or part of its assets are acquired or transferred to another party, including in connection with any bankruptcy or similar proceedings, provided that successor entity will be required to comply with the privacy protections in this Privacy Policy with respect to information collected under this Privacy Policy, or we will provide the School with notice and an opportunity to opt out of the transfer of such data prior to the transfer; and
  • except as restricted by Applicable Laws or contracts with the School, we may also share Student Data with Amplify’s affiliated education companies, provided that such disclosure is solely for the purposes of providing Products and at all times is subject to this Policy.

Non-Student Data. Amplify discloses Non-Student Data for the purposes for which Student Data is used as set forth above. Amplify may also disclose Non-Student Data as otherwise required or permitted, or as disclosed at the time of collection. Please note that we do not share mobile information or opt-in consent with third parties / affiliates for their own marketing or promotional purposes.

5. Aggregate/De-identified data

Amplify may use de-identified or aggregate data for purposes allowed under FERPA and other Applicable Laws, to research, develop, and improve educational sites, services, and applications and to demonstrate the effectiveness of the Amplify Products. Amplify will not attempt to re-identify de-identified data. We may use aggregate information (which is information that has been collected in summary form such that the data cannot be associated with any individual) for analytics and reports. For example, our promotional materials may note the total number of students served by our programs in the prior year, but that information cannot be used to identify any one student. We may also share de-identified or aggregate data with research partners to help us analyze the information for product improvement and development purposes.

Records and information are de-identified when all personal information has been removed or obscured, such that the remaining information does not reasonably identify a specific individual. We de-identify Student Data in compliance with Applicable Laws and in accordance with the guidelines of NIST SP 800-122. Amplify has implemented internal procedures and controls to protect against the re-identification of de-identified Student Data. Amplify does not disclose de-identified data to its research partners unless that party has agreed in writing not to attempt to re-identify such data.

6. Data prohibitions, Advertising, Advertising limitations

Amplify will not:

  • sell Student Data to third parties;
  • use or disclose Student Data to inform, influence, or enable targeted advertising to a Student based on Student Data or information or data inferred over time from the Student’s usage of the Products;
  • use Student Data to develop a profile of a Student for any purpose other than providing the Products to a School or Authorized School User, or as authorized by a parent or legal guardian;
  • use Student Data for any commercial purpose other than to provide the Products to the School or Authorized School User, or as permitted by Applicable Laws.

7. External third-party services

This Privacy Policy applies solely to Amplify’s Products and practices. Schools and other Authorized Users may choose to connect or use our Products in conjunction with third-party services and Products. Additionally, our sites and Products may contain links to third-party websites or services . This Privacy Policy does not address, and Amplify is not responsible for, the privacy, information, or other practices of such third parties. Schools should carefully consider which third-party applications to include among the Products and services they provide to Students and vet the privacy and data security standards of those providers.

Authorized Users may be able to log in to our Products using third-party sign-in services such as Clever, ClassLink or Google. These services authenticate your identity and provide you with the option to share certain personal information with us, including your name and email address, to pre-populate our account sign-up form. If you choose to enable a third party to share your third-party account credentials with Amplify, we may obtain personal information via that mechanism. You may configure your accounts on these third-party platform services to control what information they share.

8. Security

Amplify maintains a comprehensive information security program and uses industry standard administrative, technical, operational, and physical measures to safeguard Student Data in its possession against loss, theft and unauthorized use, disclosure, or modification. Amplify performs periodic risk assessments of its information security program and prioritizes the remediation of identified security vulnerabilities. Please see https://amplify.com/security for a detailed description of Amplify’s security program.

In the event Amplify discovers or is notified that Student Data within our possession or control was disclosed to, or acquired by, an unauthorized party, we will investigate the incident, take steps to mitigate the potential impact, and notify the School in accordance with Applicable Laws.

Non-Student Data

Outside of Student Data, Amplify uses commercially reasonable administrative, technical, personnel, and physical measures to safeguard personal information in its possession against loss, theft, and unauthorized use, disclosure or modification.

9. Data Storage and Transfers

We are a United States Company, and our servers are hosted, managed, and controlled by us in the United States. If you are outside of the United States, we use industry standards to protect your data when it leaves your country of residence and your data will always be protected in accordance with this Privacy Policy, Applicable Laws and our Agreement regardless of the storage location.

Additionally, where we transfer your personal information to service providers outside of the United Kingdom (UK), European Economic Area (EEA), or other region that offers similar protections, we use specific appropriate safeguards to contractually obligate such service providers to protect personal information in accordance with Amplify’s commitment to privacy and security and applicable data protection laws.

If you have questions or wish to obtain more information about the international transfer of your personal information or the implemented safeguards, please contact us using the contact information below.

10. Data Retention / Deletion

Student Data

Upon request, we provide the School the opportunity to review and delete the personal information collected from Students. We will retain Student Data for the period necessary to fulfill the purposes outlined in this Privacy Policy and our Agreement with the School. We do not knowingly retain Student Data beyond the time period required to support the School or Authorized School User’s educational purpose, unless authorized by the School or Authorized School User. Upon request, Amplify will return, delete, or destroy Student Data stored by Amplify in accordance with applicable law and customer requirements. We may not be able to delete all data in all circumstances, such as information retained in technical support records, customer service records, back-ups, and similar business records. All such information will be protected in accordance with this Privacy Policy and our Agreement until it has been permanently deleted. Unless otherwise notified by the School, we will delete or de-identify Student Data after termination of our Agreement with the School.

Non-Student Data

Outside of Student Data, we keep personal information as long as it is necessary or relevant for the practices described in this Privacy Policy or as otherwise required by our Agreement with the School, if applicable. We determine the appropriate retention period for personal information on the basis of the amount, nature and sensitivity of the personal information being processed, the potential risk of harm from unauthorized use or disclosure of the personal information, whether we can achieve the purposes of the processing through other means, and on the basis of applicable legal requirements (such as applicable statutes of limitations).

11. What rights and choices do you have?

What Choices Do You Have?

Marketing/Advertising

As noted above, we do not use Student Data for marketing purposes and we do not direct marketing to Students. Amplify does not use third party cookies and similar technologies for advertising and marketing purposes on Student-facing portions of the Products. The choices below apply to Non-Student Authorized Users.

Opt-out of Marketing Communications. If you want to stop receiving promotional materials from Amplify, you can follow the unsubscribe instructions at the bottom of each email or email us at privacy@amplify.com. Amplify does not send marketing communications to Students.

Opt-out of Cookies and Similar Tracking Technologies. With respect to cookies, you may be able to reject cookies through your browser or device controls. Note that you have to opt-out of cookies on each browser or device that you use. If you replace, change, or upgrade your browser or device, or delete your cookies, you may need to use these opt-out tools again. Please be aware that disabling cookies may negatively impact your experience as some features may not work properly. To learn more about browser cookies, including how to manage or delete them, check the “Help,” “Tools,” or similar section of your browser.

What Rights Do You Have?

Individuals in the U.S.

  • What Rights Do You Have With Respect to Student Data?
    • Review and Correction. FERPA requires schools to provide parents with access to their children’s education records, and parents may request that the school correct records that they believe to be inaccurate or misleading.
    • If you are a parent or guardian and would like to review, correct, or update your child’s data stored in our Products, contact your School. Amplify will work with your School to enable your access to and, if applicable, correction of your child’s education records.
    • If you have any questions about whom to contact or other questions about your child’s data, you may contact us using the information provided below.
    • Other Privacy Rights? Please see section 3 of our supplemental disclosures: “Additional U.S. State Privacy Law Rights” for more information about your U.S. privacy rights

Individuals in the EU/UK

Please see section 4 of our supplemental disclosures: “Notice for European Economic Area and United Kingdom Customers” for more information about your EU/UK privacy rights.

12. COPPA

We do not knowingly collect personal information from a Child User unless and until a School or Educator, with the permission of the School, has authorized us to collect such information to provide the Products. Amplify relies 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 Child Users in accordance with all applicable provisions of COPPA. To the extent COPPA applies to the information we collect, we process such information for educational purposes only, and no other commercial purpose, at the direction of the School and on the basis of the School’s authorization. If you are a parent or guardian and have questions about your child’s use of the Products and any personal information collected, please direct these questions to your child’s school.

Please refer to the Appendix–Supplemental Disclosures if you are a Home User.

13. Updates to this Privacy Policy

We may change this Privacy Policy in the future. For example, we may update it to comply with new laws or regulations, to conform to industry best practices, or to reflect changes in our product offerings. When these changes do not reflect material changes in our practices with respect to use and/or disclosure of Authorized Users’ personal information, including Student Data, such changes to the Privacy Policy will become effective when we post the revised Privacy Policy on our website. In the event there are material changes in our practices that would result in Authorized Users’ personal information being used in a materially different manner than was disclosed when the information was collected, with respect to Student Data, we will notify the School, and with respect to other information, we will notify you via email and provide an opportunity to opt out before such changes take effect.

14. Contact us

If you have questions about this Privacy Policy, please contact us at:

Email: privacy@amplify.com
Mail: Amplify Education, Inc.
55 Washington St.#800
Brooklyn, NY, 11201
Phone: (800) 823-1969
Attn: General Counsel

To report a security vulnerability, visit https://amplify.com/report-a-vulnerability/.

Appendix – Supplemental Disclosures

1. Mathigon and Amplify Classroom accounts

While our Products are geared towards Schools we do provide a limited opportunity for Home Users to use the Products at home—outside of the school context. We do not allow persons under the age of 13 (or those under the age of consent in any applicable jurisdiction) to register for an account with us outside the school context.

If you are a Home User, 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.

Please note that most parts of Mathigon can be used without creating an account or providing any personal information that directly identifies you.

What Rights Do You Have? If you are a Child User who is 13 or older with a legacy Mathigon account (or the parent or guardian of a Child User with a legacy Mathigon account), you may request that we provide for your review, delete from our records, or cease collecting any Child User personal information. To the extent that you are unable to exercise these rights through self-service features within your account with us, please contact us by sending an email to: help@amplify.com and we will provide assistance.

2. U.S. Notice at Collection

Personal Information We Collect How We Use Personal Information

Student Data, which includes:

  • Roster Information
  • Demographic Data, such as race and national origin
  • School Records
  • Account Information
  • Schoolwork and Student Generated Content
  • Teacher Comments and Feedback
  • Device and Usage Data
  • To provide and improve our educational Products;
  • To support Schools’ and Authorized School Users’ activities;
  • To ensure secure and effective operation of our Products;
  • For purposes requested or authorized by the School or Authorized School Users, or as otherwise permitted by Applicable Laws;
  • For adaptive or personalized learning features of the Products; provided that Student Data is not disclosed;
  • For customer support purposes, to respond to the inquiries and fulfill the requests of the School and their Authorized School Users;
  • To enforce product access and security controls; and
  • To conduct system audits and improve protections against the misuse of our Products, or to detect and prevent fraud and other harmful activities.

Authorized Users, which includes:

  • Contact Information
  • Account Information
  • Survey Responses
  • Device and Usage Data
  • For the purposes for which Student Data is used as set forth above;
  • For marketing purposes in limited circumstances (e.g. to periodically send newsletters and other promotional materials), which will not be based on Student Data or directed to K–12 students;
  • For internal research and analytics; and
  • As otherwise required or permitted, or as we may notify you at the time of collection.

Some of the information described above may be considered “sensitive” under the laws of certain jurisdictions (i.e., account credentials and race/national origin) (“Sensitive Information”). We use Sensitive Information for necessary or reasonably expected purposes – specifically, to provide you with our Services (i.e., account credentials are used to allow account logins and race/national origin are used for the School’s reporting purposes when voluntarily provided by the School).

We do not sell or share your personal information, as described in California law.

We retain your personal information for as long as reasonably necessary for the purposes disclosed in the chart above. Additional information about our retention of Student Data and personal information from other Authorized Users can be found in Section 10 of this Privacy Policy.

Please see the Additional U.S. State Privacy Law Rights section of this appendix for information about your privacy rights pursuant to applicable U.S. law.

Notice of Financial Incentive

From time to time, to support our services, we offer opportunities to complete surveys and questionnaires. As an incentive for completing the survey or questionnaire, you can voluntarily provide personal information as an entry into a raffle drawing or to obtain other benefits, discounts, offers, or deals that may constitute a financial incentive under California law (“Financial Incentive”). The categories of personal information required for us to provide the Financial Incentives include: contact information and any other information that you choose to provide when you complete the survey.

Participation is voluntary and you can opt out at any time before the survey is complete. We do not allow students to participate in our surveys.

The value of the personal information we collect in connection with our Financial Incentives is equivalent to the value of the benefit offered.

3. Additional U.S. State Privacy Law Rights

Note for Requests Relating to Student Data: Because Amplify provides the Products to Schools as a “School Official,” we collect, retain, use, and disclose Student Data only for or on behalf of the School for educational purposes, including the purpose of providing the Products specified in our Agreement with the School and for no other commercial purpose. Accordingly, we act as a “service provider” for the School with respect to School Data. We work with the School to support and assist them in addressing privacy requests relating to School Data. Please reach out to your School directly if you wish to exercise any privacy rights that may be available to you.

For all other requests: With respect to Amplify Data, individuals residing in certain U.S. states have the following rights, regarding your personal information (each of which is subject to various exceptions and limitations):

  • Access. You have the right to request, up to two times every 12 months, that we disclose to you the categories of personal information collected about you; the categories of sources from which the personal information is collected; the categories of personal information sold or shared; the business or commercial purpose for collecting, selling, or sharing the personal information; the categories of third parties with whom personal information was shared; and the specific pieces of personal information collected about you.
  • Correction. You have the right to request that we correct inaccurate personal information collected from you.
  • Deletion. You have the right to request that we delete the personal information that we maintain about you. Even after the deletion of your account, some personal information may remain on our servers, such as in technical support logs, server caches, data backups, or email conversations. These will be automatically deleted after a reasonable amount of time, unless we are legally required to retain information for longer, or unless there is a legitimate business reason (e.g. security and fraud prevention or financial record-keeping). We are not required to delete any information which has been aggregated or de-identified in accordance with Section 5.
  • No Discrimination. You have the right not to be discriminated against for exercising these rights.
  • Appeals. You have a right to appeal decisions concerning your ability to exercise your consumer rights.

See Submitting Requests section below for details on submitting a request to exercise these rights.

4. Notice for European Economic Area (EEA) and United Kingdom (UK) Customers

As detailed at the beginning of our Privacy Policy (under the section titled “Our Role”), Amplify operates primarily as a processor that collects personal information on behalf of the School, and we act as a controller in limited circumstances where we offer Products outside the school context.

If you represent a School in the EEA or the UK, please note that we process personal information in accordance with this Privacy Policy, our Acceptable Use Policy, and our standard Data Protection Agreement, which sets out our responsibilities when it comes to our processing activities. Schools must send an email to privacy@amplify.com to enter into that DPA.

Lawful Basis for Processing

We rely on the following lawful bases for our processing activities:

  • Consent;
    • We obtain your consent to use cookies to collect and process device and usage data to understand how individuals use our Products.
  • Pursuant to a contract for use of our Products;
    • We process School Data to provide our Products (e.g., to create, authenticate and manage your account, to verify your identity, to manage our Products) pursuant to the Agreement between us and the School, as required in order for us to perform our obligations.
  • To comply with our legal obligations;
    • We process all categories of personal information that we collect to ensure the safety and security of our Products where we are complying with security requirements under data protection and cyber and information security law.
    • We process all categories of personal information that we collect to comply with our legal obligations which includes, for example, to access, retain or share certain personal information where we receive a valid request from a government body, law enforcement body, judicial body regulator or similar, to deal with legal claims and prospective legal claims, and to ensure we are complying with applicable laws.
  • When we have a legitimate interest in doing so, which is not outweighed by the risks to the individual.
    • We process all categories of personal information that we collect to support the provision, effective management, and improvement of our Products where such activities are not strictly required under our contract. This is in our legitimate interests to ensure that we are providing the best possible service.
    • We process all categories of personal information that we collect to ensure the safety and security of our services where this is important but not required under the data protection law or cyber and information security laws. This is in our legitimate interests to ensure the security of our services and systems, to prevent threats, abuse or fraudulent or unlawful activity, to promote safety and security and to ensure our Products are used in accordance with our terms and conditions.
    • We process the contact information of Non-Student Authorized Users to manage our relationship, including to respond to queries or otherwise communicate with you in relation to our Products and the operation of our business where this is not strictly required under a contract with you. This is in our legitimate interests to communicate with and resolve queries from users of our Products and to ensure that we are providing the best possible service.

We process the contact information and survey data of Non-Student Authorized Users for internal research and marketing purposes in limited circumstances (e.g. to periodically send newsletters and other promotional materials), which will not be based on Student Data or directed to Students. This is in our legitimate interests to understand our customers and prospective customers, understand how our products and services are perceived in the market, to promote our products, and to grow and develop our business.

Your Data Subject Rights

Note for Requests Relating to School Data: Amplify acts as processor to its School customers with respect to all School Data. We work with our School customers to support and assist them in addressing privacy requests relating to School Data. Please reach out to your School directly if you wish to exercise any privacy rights that may be available to you.

For all other Requests With respect to Amplify Data, you have the following rights if you are in the EEA or UK, subject to certain exceptions:

  • Right of access: You have the right to ask us for confirmation on whether we are processing your personal information and access to that personal information.
  • Right to correction: You have the right to have your personal information corrected.
  • Right to erasure: You have the right to ask us to delete your personal information.
  • Right to withdraw consent: You have the right to withdraw consent that you have provided.
  • Right to lodge a complaint with a supervisory authority: You have the right to lodge a complaint with a supervisory authority.
  • Right to restriction of processing: You have the right to request the limiting of our processing under limited circumstances.
  • Right to data portability: You have the right to receive the personal information that you have provided to us, in a structured, commonly used, and machine-readable format, and you have the right to transmit that information to another controller, including to have it transmitted directly, where technically feasible.
  • Right to object: You have the right to object to our processing of your personal information

See Submitting Requests section below for details on submitting a request to exercise these rights.

5. Submitting Requests

To exercise any of the rights described in sections 2 and 3 of this appendix, email us at privacy@amplify.com and specify which privacy right you intend to exercise. We may require additional information from you to allow us to confirm your identity. The verification steps will vary depending on the sensitivity of the personal information and whether you have an account with us. Please note that your rights may not apply in all cases. For example, we may need to retain your personal information to comply with our legal obligations, resolve disputes, prevent fraud and enforce our agreements. We will inform you if we are not able to fully respond to your requests. You may designate an authorized agent to make a request on your behalf. When submitting the request, please ensure the authorized agent identifies himself/herself/itself as an authorized agent and can show written permission from you to represent you. We may contact you directly to confirm that you have authorized the agent to act on your behalf or confirm your identity.

Complaints

If you have any issues, you have the right to lodge a complaint with an EEA or UK supervisory authority. We would, however, appreciate the opportunity to address your concerns before you approach a data protection regulator and would welcome you directing an inquiry first to us. To do so, please contact us by email at privacy@amplify.com or by mail at Amplify Education, Inc., 55 Washington St.#800, Brooklyn, NY, 11201.

6. Google APIs

Amplify uses Google’s Application Programming Interface (API) Services to enable Authorized Users to log in to Amplify, import classes and rosters from Google Classroom, create assignments in Google Classroom, and copy, edit, and publish Amplify content using Google Slides. Amplify will use and transfer information received from Google’s API in accordance with Google API Service User Data Policy, including the Limited Use requirements.

Update History:

Update: 6/13/2025: This Policy has been updated to align with product updates and to provide additional context for authorized educational use of Amplify’s Products.

Update 6/27/2024: The Policy has been updated to include an explanation regarding Google APIs in the Appendix — Supplemental Disclosures section.

Update 6/30/2023: This Privacy Policy has been updated to address new state law data privacy requirements.

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 orange bold letters with a period at the end against a white 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.

Back to school 2020–21 updates

Back to school 2020 is coming! Click here for more information on all of the improvements and new features we’re adding to Amplify Science for the new school year.

Program introduction

Onboarding: what to expect

Welcome to Amplify Science! To help you know what’s coming next, we created the following outline of the steps of the onboarding process. You can use it as a reference.

Administrators receive launch email

  • Share the information with teachers
  • Submit the shipping survey sent to your email

Log In

  • Go to learning.amplify.com
  • Click on Log in with Clever or Google 
  • Enter your FCPS credentials
  • Demo Account for full access to Amplify Curriculum without access to personalized class rosters:
    • Go to learning.amplify.com
    • Click on login with Amplify
    • Username: t.Fayette2020@tryamplify.net
    • Password:  AmplifyNumber1

Ensure you have received all materials and components

  • Teachers have access to a series of “Unboxing your materials kit” videos. If you’re interested in watching those, click here.

Check out the professional learning opportunities and/or access the Getting Started Resources below.

If you need assistance, please see the help resources or reach out to your Educational Partnerships Manager or PD manager at caffleck@amplify.com, pworks@amplify.com with any questions.

K–5 resources

To ensure your first day using Amplify Science in the classroom is as seamless and smooth as possible, we recommend reviewing the following checklist before the first day of school.

A graphic with the text "Pre-launch checklist for teachers" and an orange "Download PDF" button below. An icon of a checklist with a down arrow is on the left.

What’s coming to my school?

Each unit of Amplify Science comes with a hands-on materials kit. Each hands-on materials kit arrives in one to three boxes and contains:

  • Consumable materials for two uses of 25 or 36 students (depending on school purchase)
  • Non-consumable materials
  • Classroom wall materials
  • Premium print materials (card sorts, vocabulary rings, etc.).
  • 18 copies of each Student Book (5 titles each unit, K–1 will receive 5 big books per unit)
  • A blackline master of the Student Investigation Notebook

You can find complete materials lists for each unit in the following PDF. This information is also available in the digital Teacher’s Guide within the program.

Button for downloading a PDF of a K-5 materials list. An icon of a document with a downward arrow is on the left.

Onboarding videos

Our team has created a series of short videos to help get you started with Amplify Science:

What’s online?

Planning strategies

How to log in and navigate

NGSS introduction

Planning guides

As you prepare to plan for a unit, download our planning guides to help walk you through the most important resources to locate in either the print or digital Teacher’s Guide to help you plan:

    Additional resources

    If you’re interested in learning more about each unit’s anchor phenomena, the Student Books in each unit, and more program features, download the resources below:

      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 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 

      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.

      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.

      Resources to support your review

      Remote and hybrid learning support

      A child sits at a desk using a laptop. Next to the desk is a bookshelf with books, a fishbowl, and a soccer ball.

      Amplify has launched a new remote learning solution called Amplify Science@Home. Intended to make extended remote learning and hybrid learning easier, Amplify Science@Home includes two useful options for continuing instruction: @Home Videos and @Home Units. 

      Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home. These videos will be produced for all K–5 units, and for the first four units of each 6–8 grade level. Their release will be rolling, beginning in August.   

      Amplify Science@Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. @Home Units will be developed for all Amplify Science K–8 units. Each @Home Unit includes:

      • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available.
      • Overviews to send home to families.

      Student materials are available in two formats:

      • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home.
      • Downloadable @Home Packets (PDF) for students without access to technology at home.

      Download the Remote and hybrid learning guide.

      What’s included:

      Flexible resources that work seamlessly together

      Science articles
      The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

      Amplify Science articles

      Student Investigation Notebooks
      Available for every unit, the Student Investigation Notebooks provide space for students to:

      • record data.
      • reflect on ideas from texts and investigations.
      • construct explanations and arguments.

      Available with full-color article compilations for middle school units.

      Louisiana-specific Materials

      Louisiana Companion Student Booklet

      Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.

      Digital student experience
      Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

      • conduct hands-on investigations.
      • engage in active reading and writing activities.
      • participate in discussions.
      • record observations.
      • craft end-of-unit scientific arguments.
      A digital illustration showcasing a laptop and a tablet displaying complex data analysis software interfaces with graphs and heatmaps.

      Teacher’s Guides
      Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

      • Louisiana Companion Teacher Booklet (6-8)
      • Classroom Slides 
      • detailed lesson plans.
      • unit and chapter overview documentation.
      • differentiation strategies.
      • standards alignments.
      • in-context professional development.
      A laptop displaying the Geology on Mars webpage sits beside a book titled "Geology on Mars," both featuring the same cover image of Mars and a spacecraft, perfect for enhancing three-dimensional learning in any science classroom.

      Hands-on materials kits
      Hands-on learning is at the heart of Amplify Science. Each unit kit contains:

      • consumable and non-consumable hands-on materials.
      • print classroom display materials.
      • premium print materials for student use (sorting cards, maps, etc.).
      A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

      Scope and sequence

      Amplify Science Louisiana K–5 Program Brochure

      GRADE

      UNITS

      Kindergarten

      • Needs of Plants and Animals
      • Pushes and Pulls
      • Sunlight and Water

      Grade 1

      • Animal and Plant Defenses
      • Light and Sound
      • Spinning Earth

      Grade 2

      • Plant and Animal Relationships
      • Properties of Materials
      • Changing Landforms

      Grade 3

      • Balancing Forces
      • Inheritance and Traits
      • Environments and Survival
      • Weather and Climate

      Grade 4

      • Energy Conversions
      • Vision and Light
      • Earth’s Features
      • Waves, Energy, and Information

      Grade 5

      • Patterns of Earth and Sky
      • Modeling Matter
      • The Earth System
      • Ecosystem Restoration

      GRADE

      UNITS

      Grade 6

      • Launch: Microbiome
      • Populations and Resources
        Additional instruction added: Human impact on Earth systems and Louisiana’s natural resources
      • Matter and Energy in Ecosystems
        Additional instruction added: Structure and properties of matter Structure and function of cells
      • Force and Motion
      • Engineering Internship: Force and Motion
      • Magnetic Fields
      • Earth, Moon, and Sun
      • Light Waves
        Additional instruction added: The function of the cell nucleus

      Grade 6 Louisiana  Resources

      • 5 Companion Lessons
      • Units with Companions Lessons: Populations and Resources; Matter and Energy in Ecosystems; Light Waves
      • Louisiana Companion Materials Kit

      Grade 7

      • Metabolism
      • Engineering Internship: Metabolism
      • Phase Change
      • Chemical Reactions
      • Traits and Reproduction
      • Ocean, Atmosphere, and Climate
      • Weather Patterns
      • Earth’s Changing Climate

      Grade 7 Louisiana  Resources

      • 8 Companion Lessons
      • Units with Companions Lessons: Phase ChangeTraits and ReproductionOcean, Atmosphere, and ClimateWeather PatternsEarth’s Changing Climate
      • Louisiana Companion Materials Kit, not needed in 7th grade

      Grade 8

      • Launch: Geology on Mars
      • Plate Motion
      • Engineering Internship: Plate Motion
      • Rock Transformations
      • Thermal Energy
      • Natural Selection
      • Engineering Internship: Natural Selection
      • Evolutionary History

      Grade 8 Louisiana Resources

      • 6 Companion Lessons
      • Unit with Companions Lessons: Plate MotionRock TransformationsThermal EnergyNatural Selection
      • Louisiana Companion Materials Kit

      Amplify and the Lawrence Hall of Science have created custom Amplify Science Louisiana materials for middle school students and teachers. The Louisiana edition of Amplify Science 6–8 differs from our national program in a few key ways:

      • Standards cited are Louisiana State Standards for Science (LSSS) instead of NGSS
      • A custom scope and sequence tailored to the LSSS is used
      • Louisiana Companion Lessons are included
      • Louisiana companion kits, which contain materials to accommodate the added companion lessons, are available for grades 6 and 8

      Explore the Digital Teacher’s Guide

      When you’re ready to review, click the orange button below and use your provided login credentials to access the Amplify Science Digital Teacher’s Guide.

      To help familiarize yourself with navigating the digital Teacher’s Guide, watch our navigational guide videos:

      Grades K–5:

      Grades 6-8

      Looking for help?

      Powerful (and free!) pedagogical support

      Amplify provides a unique kind of support you won’t find from other publishers. 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.

      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 7 a.m. to 7 p.m. ET, 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:

      Contact us

      Contact your Louisiana representative:
      Wayne Hebert
      whebert@amplify.com
      (337) 298-7833

      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.

      Download Transcript

      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!

      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.

      Exciting updates in CKLA 2nd Edition!

      As part of our commitment to creating even richer and more wide-ranging curricula, we have built on the foundation of the 1st Edition to release a new edition of Amplify CKLA with a collection of program enhancements that save you time and help you reach every student.

      Explore the 2nd Edition Program Guide to learn more.

      Amplify Caminos for equitable Spanish literacy

      Amplify Core Knowledge Language Arts® (CKLA) is proud to introduce Amplify Caminos al Conocimiento Esencial, a Spanish language arts program for Grades K–5 that will inspire and engage your students to become confident readers, writers, and thinkers.

      Three colorful book covers featuring artistic styles: a bird in flight, a bicycle near a vine-covered wall, and a vibrant portrait of a woman with flowing hair.

      Like Amplify CKLA, Amplify Caminos is designed to spark curiosity through content-rich instruction. Amplify Caminos features complex interactive Read-Alouds and authentic Spanish literature to develop reading and writing skills and build bridges across Spanish and English.

      Explore the Amplify Caminos Program Guide.

      Research units to inspire inquiry and curiosity

      Our brand-new Knowledge Research units carry forward Amplify CKLA’s powerful and proven instructional approach while also:

      • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
      • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
      • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

      Units cover a variety of rich and relevant topics:

      Three illustrations: one shows people at a gaming session, the middle depicts a diverse group standing together, and the third portrays a group gardening outdoors.

      With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

      • Grade K: Art and the World Around Us
      • Grade 1: Adventure Stories: Tales from the Edge of the World
      • Grade 2: Up, Up, and Away: The Age of Aviation
      • Grade 3: All That Jazz
      • Grade 4: Energy: Past, Present, and Future
      • Grade 5: Beyond Juneteenth: 1865 to present

      Watch the overview webinar to learn more.

      Units will be made available in English and Spanish, and will include the following components:

      A collage of educational materials including comic panels, illustrated worksheets, and classroom posters featuring diverse characters.
      • Teacher Guide
      • Student Activity Books
      • Image Cards
      • Trade Book Collection
      • Digital Components (grades K–3 and 5)

      Richly illustrated Skills Readers

      Student Readers in grades K–2 are newly redesigned with gorgeous illustrations that celebrate students’ diverse experiences. The new readers feature individuals with a broad range of identities and culture, providing students with more windows and mirrors. Each reimagined reader has a unique illustration style to draw students into the engaging stories, characters, and plots.

      Illustration split in two: left side shows children diving underwater with marine life, labeled "kit"; right side shows children playing jump rope on a court, labeled "kids excel.

      Review the new readers.

      New digital platform with presentation slides

      Amplify CKLA 2nd Edition is on the digital experience, a new digital platform, that makes it easier and more engaging than ever to plan lessons, present digital content, and review and assign student work online.

      A person navigating through the curved, narrow sandstone walls of antelope canyon. the natural rock formation casts pink and orange hues.

      The digital experience provides ready-to-use, customizable lesson slides, complete with all the prompts from the Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students engage with the content through slides that include digital activities, digital components, multimedia, Student Readers, and more. Students can complete work in the platform through digital Activity Pages that allow them to type, draw, record audio, and more.

      Explore the digital experience overview brochure.

      Improved layout, more focused lessons, new content and more

      From 1st Edition to 2nd Edition, we made updates to make it easier to plan and deliver Amplify CKLA lessons, including a variety of ways to differentiate instruction to meet the needs of all students.

      Key enhancements include:

      • Scaffolds for English Language Learners added to all lessons
      • In-the-moment differentiation opportunities added to support and challenge all students
      • Integrated grade 3 into one instructional strand to better match students’ learning trajectories
      • New layout to make Teacher Guides easier to scan and use.

      New content at the beginning of each lesson:

      • Primary Focus Objectives identify the goals of each lesson. Each objective is standards-aligned and corresponds to a formative assessment.
      • Formative Assessment opportunities are explicitly called out in a chart at the beginning of each lesson. Formative assessments are aligned to the Primary Focus Objectives.
      • Universal Access suggests modifications to the lesson to support a diversity of learning styles.

      New content within each lesson:

      • Support and Challenge sidebars added throughout for extensions, support, and enrichment.
      • Access Supports provide scaffolds to support English Language Learners across five proficiency levels.

      New content in each Skills Strand lesson:

      • Additional Support section at the end of every Skills lesson provides opportunities for re-teaching and reinforcing skills taught in the lesson. Specific activities and extensions are provided to meet the needs of all learners.

      New content in all grades, including:

      • Grade K: Picture Reader with supporting instruction.
      • Grade 3: Content integrated into one instructional strand to improve pacing and closely match students’ learning trajectories; excerpts of read-aloud text now appear in select student readers; added new Vikings Quest (problem-based interactive learning).
      • Grade 4: Updated the Personal Narratives unit, added The Contraption Quest (writing across the year).
      • Grade 5: Updated Personal Narratives unit, added Chemical Matter unit, added The Robot Quest (writing across the year).
      • Moved Contemporary Fiction unit from grade 5 to grade 4.
      • Supplemental cursive instruction and activity book added for grades 3 and 4.

      Take a deeper look at the enhancements.

      Language Studio for English Language Learners

      Language Studio is a companion English Language Development program to 2nd Edition designed to support students learning English at all proficiency levels. Aligned to WIDA, the program helps students strengthen vocabulary and academic language skills while deepening the background knowledge developed in the core program. This unique approach provides an effective structure for moving English Language Learners students towards English proficiency.

      View sample lessons to see how it works.

      Multimedia Hub for teachers and students

      Students will be able to access multimedia resources and engage in a new way on the Amplify CKLA Hub. Students can access digital resources independently from anywhere, taking full advantage of the instructional multimedia experiences that Amplify CKLA has to offer. Students can access the Hub at home, in the classroom, and on the go, making it ideal for remote learning. It’s compatible with laptops, Chromebooks, tablets, and desktops.

      Grades K–2

      Grades K–2 students will have access to Knowledge Builder videos to introduce each domainSound Library videos and songs for each sound in the English language; and audio-enabled eBooks of grade-level Student Readers.

      Grades 3–5

      Grades 3–5 students will have access to the Vocab App for independent practice with domain vocabulary and audio-enabled eBooks of grade-level Student Readers in English and Spanish.

      CKLA – Knowledge Research Units for K–5

      To view this protected page, enter the password below:



      Introducing new units for Amplify CKLA and Amplify Caminos K–5

      As part of our commitment to creating even richer and more wide-ranging curricula, we are excited to release six new units for both Amplify CKLA and Amplify Caminos!

      Click here to learn more about Amplify CKLA.

      Click here to learn more about Amplify Caminos.

      About these units

      Our brand-new Knowledge Research units carry forward the powerful and proven instructional approach of both Amplify CKLA and Amplify Caminos while also:

      • Adding more variety to engage students from many walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
      • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
      • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

      Units cover a variety of rich and relevant topics:

      Three illustrations: one shows people at a gaming session, the middle depicts a diverse group standing together, and the third portrays a group gardening outdoors.

      With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

      • Grade K: Art and the World Around Us/El arte y el mundo que nos rodea
      • Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra
      • Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación
      • Grade 3: All That Jazz/Jazz y más
      • Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro
      • Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

      Units are available in English and Spanish, and will include the following components:

      • Teacher Guide
      • Student Activity Books
      • Image Cards
      • Trade Book Collection
      • Digital Components (grades K–3 and 5)

      Grade K: Art and the World Around Us/El arte y el mundo que nos rodea

      “Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. Art and the World Around Us honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the worlds around them, too.

      This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Amplify CKLA and Amplify Caminos domains: Farms/Granjas, Plants/Plantas, and Taking Care of the Earth/Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

      As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, and have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

      Within this unit, students have opportunities to:

      • Use details to describe art.
      • Identify three ways to create art.
      • Identify characteristics of cave art.
      • Sequence the steps of making pottery.
      • Describe how artists can create work connected to the world around them.
      • Describe what makes Kehinde Wiley’s portraits unique.
      • Explain how the texture of a surface can affect artwork created on it.
      • Explain what a sculpture is.
      • Describe what makes James Turrell’s artwork about the sky unique.
      • Explain what a museum is and what kinds of things you can see or do there.

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • The First Drawing by Mordicai Gerstein
      • Van Gogh and the Sunflowers by Laurence Anholt
      • My Name is Georgia by Jeanette Winter
      • A Life Made by Hand by Andrea D’Aquino
      • Rainbow Weaver by Linda Elovitz Marshall
      • Luna Loves Art by Joseph Coelho

      Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra

      This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

      In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

      Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

      In addition, teachers can set aside time outside of the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

      This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered in the previous grade.

      • Nursery Rhymes and Fables/Rimas y fábulas infantiles (Kindergarten)
      • Stories/Cuentos (Kindergarten)

      The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Adventure Stories: Tales from the Edge of the World. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • My Name is Gabito/Me llamo Gabito by Monica Brown
      • Tomas and the Galápagos Adventure by Carolyn Lunn
      • The Astronaut with a Song for the Stars: The Story of Dr. Ellen Ochoa by Julia Finley Mosca
      • Mae Among the Stars by Roda Ahmed
      • Shark Lady: The True Story of How Eugenie Clark Became the Ocean’s Most Fearless Scientist by Jess Keating
      • Manfish by Jennifer Berne
      • Keep On! The Story of Matthew Henson, Co-Discoverer of the North Pole by Deborah Hopkinson
      • The Top of the World: Climbing Mount Everest by Steve Jenkins

      Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación

      With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aída de Acosta, and Amelia Earhart.

      During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

      The lessons in this domain build on earlier Grade 2 CKLA and Amplify Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

      This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered earlier in the year.

      • The Ancient Greek Civilization/La civilización griega antigua (Grade 2)
      • Greek Myths/Mitos griegos (Grade 2)
      • Westward Expansion/La expansión hacia el oeste (Grade 2)

      The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Up, Up, and Away: The Age of Aviation. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • Up and Away!: How Two Brothers Invented the Hot-Air Balloon by Jason Henry
      • The Glorious Flight: Across the Channel with Louis Blériot by Alice and Martin Provensen
      • The Flying Girl: How Aída de Acosta Learned to Soar by Margarita Engle
      • Wood, Wire, Wings: Emma Lilian Todd Invents an Airplane by Kirsten Larson
      • Helicopter Man: Igor Sikorsky and His Amazing Invention by Edwin Brit Wyckoff
      • The Tuskegee Airmen Story by Lynn Homan and Thomas Reilly
      • Skyward: The Story of Female Pilots in WWII by Sally Deng
      • Aim for the Skies: Jerrie Mock and Joan Merriam Smith’s Race to Complete Amelia Earhart’s Quest by Aimee Bissonette

      Grade 3: All That Jazz/Jazz y más

      This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

      During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

      The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

      • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
      • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
      • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

      Within this unit, students have opportunities to:

      • Ask relevant questions and make pertinent comments
      • Identify details in texts
      • Determine key ideas of texts by evaluating details
      • Make text-based inferences
      • Generate questions based on prior knowledge and gathered information
      • Synthesize details across texts to demonstrate comprehension
      • Discuss and explain an author’s purpose
      • Identify and cite reliable primary and secondary sources of information
      • Compose a well-organized and focused informative essay
      • Make connections between topics
      • Present information using appropriate media

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • Birth of the Cool: How Jazz Great Miles Davis Found His Sound by Kathleen Cornell Berman
      • Little Melba and Her Big Trombone by Kathryn Russell-Brown
      • Benny Goodman and Teddy Wilson: Taking the Stage as the First Black and White Jazz Band in History by Lesa Cline-Ransome
      • Tito Puente, Mambo King by Monica Brown
      • Drum Dream Girl: How One Girl’s Courage Changed Music by Margarita Engle
      • Duke Ellington: The Piano Prince and His Orchestra by Andrea Pinkney

      In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

      Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro

      With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

      Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

      • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
      • Generate questions and conduct research about energy.
      • Write an opinion essay making their case for a fuel of the future.
      • Create energy proposals using primary and secondary resources.

      This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades as well as earlier in the year.

      • Plants/Plantas (Grade K)
      • The History of the Earth/La historia de la Tierra (Grade 1)
      • Eureka! Student Inventor/¡Eureka! El arte de la invención (Grade 4)

      The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energy: Past, Present, and Future. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • Buried Sunlight: How Fossil Fuels Have Changed the Earth by Molly Bang and Penny Chisholm
      • Energy Island: How One Community Harnessed the Wind and Changed their World by Allan Drummond
      • The Boy Who Harnessed the Wind: Picture Book Edition by William Kamkwamba and Bryan Mealer

      Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

      Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

      This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

      • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
      • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
      • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

      This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades.

      • Native Americans/Los nativos americanos (Grade K)
      • A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos
        (Grade 1)
      • The U.S. Civil War/La Guerra Civil de los Estados Unidos (Grade 2)
      • Immigration/La inmigración (Grade 2)
      • Native Americans/Los nativos americanos (Grade 5)

      The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Beyond Juneteenth: 1865 to present. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

      Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

      • All Different Now: Juneteenth, the First Day of Freedom by Angela Johnson
      • The Great Migration: An American Story by Jacob Lawrence
      • Sing a Song: How “Lift Every Voice and Sing” Inspired Generations by Kelly Starling Lyons
      • Side by Side/ Lado a lado: The Story of Dolores Huerta and Cesar Chavez/ La Historia de Dolores Huerta y Cesar Chavez by Monica Brown
      • Of Thee I Sing: A Letter to My Daughters by Barack Obama

      Illustrative Mathematics-NEW

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      What is Amplify Caminos?

      Amplify Caminos is a core Spanish language arts program for grades TK–5 that delivers:

      • Authentic instruction built from the ground up for the Spanish language.
      • A unique research-based approach truly built on the Science of Reading.
      • A combination of explicit foundational skills with meaningful knowledge-building.
      • Embedded support and differentiation that gets all students reading grade-level texts together.
      • Opportunities for students to see the strengths and experiences that all people share while also celebrating each others’ unique identities and experiences.
      A diagram illustrates two processes, language comprehension and word recognition, integrating into reading comprehension with colorful braided strands and related educational materials.

      How does Amplify Caminos work?

      Daily instruction

      Grades K–2: Dedicated knowledge-building and explicit skills instruction
      Every day, students in Grades K–2 complete one full lesson that builds foundational reading skills in the Amplify Caminos Lectoescritura strand, as well as one full lesson that builds background knowledge in the Amplify Caminos Conocimiento 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 instruction
      In Grades 3–5, the Amplify Caminos Lectoescritura and Conocimiento strands 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.

      Formative and summative assessments

      A young boy sitting at a desk writes in a notebook with a pencil; another student is seated beside him, also writing.

      Amplify CKLA features a progression of moment-by-moment assessments to benchmark assessments. Assessment and feedback give teachers the information they need to differentiate instruction effectively.

      Checks for Understanding
      Each lesson segment incorporates checks for understanding to increase engagement and to let teachers make real-time adjustments to their instruction.

      Formative Assessment
      Each lesson goal is tied to a formative assessment opportunity, allowing teachers to see which students need more support with a benchmark.

      Mid- and End-of-Unit Assessments
      Mid-Unit and End-of-Unit Assessments provide valuable information on the skills and content students have mastered. Digital end-of-unit assessments are available on a variety of platforms.

      Benchmark and Placement Assessments
      Benchmark and Placement Assessments help teachers set goals and monitor the growth of each student, providing a baseline at the beginning of the year and ensuring students are advancing toward grade-level objectives.

      What makes Amplify Caminos different?

      Built on the Science of Reading

      Built out of the latest research in the Science of Reading, Amplify Caminos delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades K–2 with an integrated approach to explicit instruction in grades 3–5.

      Explicit systematic skills instruction

      The skills instruction in Amplify Caminos was distinctly developed with the Spanish language in mind. Its foundational lessons are specific to the language, rather than a direct translation from Amplify CKLA’s English skills instruction.

      Reading instruction begins with the vowels first, then the most common consonants, and finally the least common consonants. Students will blend and segment sounds to form syllables, and syllables to form words.

      Although Spanish has a highly predictable orthography, there are a few silent letters (h is always silent, u is silent after g or q), as well as letters that can make different sounds, depending on the letters that follow them. For that reason, syllables with these letters are taught somewhat later in the progression. The same is true for syllables with infrequently occurring consonants, such as z, k, x, and w.

      Coherent knowledge instruction

      While students are learning how to read, the Conocimiento strand gives them authentic and engaging reasons to read.

      Amplify Caminos uses spiral learning to reinforce every student’s ability to develop skills like reading, writing, speaking, and listening in Spanish that can be transferred to English. As students engage with their lessons, they explore the similarities and differences in grammar, vocabulary, writing, and language use between Spanish and English. This bridge helps students learning two languages to strengthen their knowledge in both.

      A collage of Spanish-language educational book covers and pages featuring illustrated scenes, including a rabbit, a person observing stars, and children playing outside.

      Through cross-curricular content, students explore units that relate to storytelling, science, and the history of our world in a holistic and thoughtful way. With these units, you’ll bring the world to your students, showing them how reading can become an exciting, rewarding, and useful part of their lives.

      Commitment to equity and diversity

      Amplify Caminos builds students’ knowledge about the world, helping them see people who resemble them and their familiar situations or experiences while also exposing them to people whose appearances, lives, beliefs, and backgrounds differ from their own.

      In addition to teaching all students to crack the written code (which is vital for equity), the Amplify Caminos program helps students celebrate their own unique identities and experiences while also seeing the strengths and experiences we all share.

      Two astronauts in space suits float above planets, a woman sings with musical notes, a hot air balloon with passengers flies, and a person sketches a landscape in a colorful, whimsical scene.

      Amplify Caminos includes both transadaptations and authentic texts written by Latin American and Spanish authors.

      Three Spanish-language children's books are displayed: "La flor de oro," "El conejo en la Luna," and "El secreto de las hormigas," each with illustrated covers.

      Our decodable Student Readers celebrate students’ diverse experiences and feature individuals with a broad range of identity factors, including socio-economic status, age, ability, race, ethnicity, country of origin, and more.

      Five colorful children's books in Spanish are displayed, featuring illustrated covers with diverse characters, a llama, and a giant cactus.

      Our new Knowledge Research units carry forward Amplify Caminos’ powerful and proven instructional approach while also:

      • Adding more diversity. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
      • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
      • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.
      Three illustrations: children swimming in a pool, a diverse group of four people standing, and people caring for a tree surrounded by plants and glowing light.

      Embedded differentiation for all learners

      Amplify Caminos provides built-in differentiation strategies and supports in every lesson.

      • Apoyo a la enseñanza y desafío: Support and Challenge suggestions in every lesson provide assistance or opportunities for more advanced work toward the goal of the lesson.
      • Notas culturales: These point-of-use notes provide additional information about the traditions, foods, holidays, word variations, and more from across the Spanish-speaking world.
      • Apoyo adicional: Every lesson in the Lectoescritura (Skills) Strand provides additional support activities suggested to reinforce foundational skills instruction. These activities can be given to any student who requires extra help, including students with special needs.

      Sample materials

      Demo access

      A laptop screen displays the Amplify login page with options to log in using Google, Clever, Amplify, QR code, District SSO, or get help.

      Follow the instructions below to access your demo account.

      • Click the Caminos Demo button below.
      • Select Log in with Amplify.
      • To explore as a teacher, enter this username:

                t1.montgomery2024ela@demo.tryamplify.net

      • To explore as a student, enter this username:

                s1.montgomery2024ela@demo.tryamplify.net

      • Enter the password: Amplify1-montgomery2024ela
      • Click the Programs and apps menu
      • Select CKLA Teacher Resource Site
      • Select the desire grade level
      • Use the toggle to switch between English (CKLA) and Spanish (Caminos) resources.

      Check out these additional resources

      Caminos review resources:

      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.

      Grade 6

      Unit 1: Area and Surface Area

      Illustrative MathematicsAmplify Classroom
      Topic A: Reasoning to Find Area 
      Lesson 1: Tiling the PlaneUnit 1
      Lesson 1: Shapes on a Plane
      Lesson 4: Parallelograms
      Lesson 5: Bases and Heights of Parallelograms
      Lesson 6: Area of Parallelograms
      Unit 1
      Lesson 3: Exploring Parallelograms
      Topic 3: Triangles
      Lesson 7: From Parallelograms to TrianglesUnit 1
      Lesson 3: Exploring Parallelograms
      Topic 5: Surface Area
      Lesson 12: What is Surface Area?Unit 1
      Lesson 10: Renata’s Stickers

      Unit 2: Introducing Ratios

      Topic 1: Introducing Ratios
      Lesson 1: Introducing Ratios and Ratio LanguageUnit 2
      Lesson 1: Pizza Maker
      Lesson 2: Representing Ratios with DiagramsUnit 2
      Lesson 1: Pizza Maker
      Topic 2: Equivalent Ratios
      Lesson 3: RecipesUnit 2
      Lesson 4: Fruit Lab
      Lesson 5: Defining Equivalent RatiosUnit 2
      Lesson 1: Pizza Maker
      Topic 4: Solving Ratio and Rate Problems
      Lesson 11: Representing Ratios with TablesUnit 2
      Lesson 10: Disaster Preparation

      Unit 3: Rates and Percentages

      Topic 2: Unit Conversion
      Lesson 2: Anchoring Units of MeasurementUnit 3
      Lesson 1: Many Measurements
      Topic 3: Rates
      Lesson 5: Comparing Speeds and PricesUnit 3
      Lesson 6: Soft Serve
      Lesson 6: Interpreting Rates
      Lesson 7: Equivalent Ratios Have the Same Unit Rates
      Unit 3
      Lesson 6: Soft Serve
      Topic 4: Percentages
      Lesson 10: What Are percentagesUnit 3
      Lesson 9: Lucky Duckies
      Lesson 13: Benchmark percentagesUnit 3
      Lesson 9: Lucky Duckies
      Topic 5: Let’s Put It to Work 
      Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
      Lesson 6: Soft Serve

      Unit 4: Dividing Fractions

      Topic 2: Meanings of Fraction Division
      Lesson 4: How Many Groups (Part 1)Unit 4
      Lesson 3: Flour Planner 
      Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4
      Lesson 6: Fill the Gap

      Unit 5: Arithmetic in Base Ten

      Topic 1: Warming Up to Decimals 
      Lesson 1: Using Decimals in a Shopping ContextUnit 5
      Lesson 1: Dishing Out Decimals
      Topic 5: Let’s Put It to Work
      Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5
      Lesson 13: Movie Time

      Unit 6: Expressions and Equations

      Lesson 1: Tape Diagrams and Equations
      Lesson 2: Truth and Equations
      Unit 6
      Lesson 1: Weight for It
      Lesson 3: Staying in BalanceUnit 6
      Lesson 1: Weight for It
      Topic 2: Equal and Equivalent
      Lesson 8: Equal and EquivalentUnit 6
      Lesson 1: Weight for It
      Topic 9: The Distributive Property, Part 1Unit 6
      Lesson 8: Products and Sums
      Take Away (coming soon!)
      Lesson 10: The Distributive Property, Part 2
      Lesson 11: The Distributive Property, Part 3
      Unit 6
      Lesson 8: Products and Sums
      Take Away (coming soon!)
      Topic 5: Let’s Put It to Work
      Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6
      Lesson 16: Subway Fares
      Take Away (coming soon!)

      Unit 7: Rational Numbers

      Lesson 1: Positive and Negative NumbersUnit 7
      Lesson 1: Can You Dig It?
      Lesson 3: Comparing Positive and Negative Numbers
      Lesson 4: Ordering Rational Numbers
      Unit 7
      Lesson 4: Order in the Class
      Topic 2: Inequalities
      Lesson 9: Solutions of Inequalities
      Lesson 10: Interpreting Inequalities
      Unit 7
      Lesson 7: Tunnel Travels
      Topic 3: The Coordinate Plane
      Lesson 15: Shapes on the Coordinate PlaneUnit 1
      Lesson 1: Shapes on a Plane

      Unit 8: Data Sets and Distributions

      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 8
      Lesson 3: Minimum Wage
      Lesson 6: Interpreting Histograms
      Lesson 7: Using Histograms to Answer Statistical Questions
      Lesson 8: Describing Distributions on Histograms
      Unit 8
      Lesson 5: The Plot Thickens
      Topic 4: Median and IQR
      Lesson 13: MedianUnit 8
      Lesson 11: Toy Cars

      Grade 7

      Unit 1: Scale Drawings

      Illustrative MathematicsAmplify Classroom
      Topic 1: Scaled Copies 
      Lesson 1: What are Scaled Copies?Unit 1
      Lesson 1: Scaling Machines
      Topic 2: Scale Drawings 
      Lesson 7: Scale DrawingsUnit 1
      Lesson 7: Will It Fit?

      Unit 2: Introducing Proportional Relationships

      Topic 1: Representing Proportional Relationships with Tables
      Lesson 1: One of These Things Is Not Like the OthersUnit 2
      Lesson 1: Paint 
      Topic 2: Representing Proportional Relationships with Equations 
      Lesson 4: Proportional Relationships with EquationsUnit 2
      Lesson 6: Two and Two
      Lesson 5: Two Equations for Each Relationship
      Lesson 6: Using Equations to Solve Problems
      Unit 2
      Lesson 6: Two and Two
      Topic 3: Comparing Proportional and Nonproportional Relationships 
      Lesson 8: Comparing Relationships with EquationsUnit 2
      Lesson 6: Two and Two
      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 2
      Lesson 8: Dino Pops

      Unit 3: Measuring Circles

      Topic 1: Circumference of a Circle 
      Lesson 1: How Well Can You Measure?Unit 3
      Lesson 8: Toothpicks (coming soon!)
      Lesson 2: Exploring Circles
      Lesson 3: Exploring Circumference
      Lesson 4: Applying Circumference
      Unit 3
      Lesson 3: Measuring Around
      Take Away (coming soon!)
      Topic 2: Area of a Circle
      Lesson 7: Exploring the Area of a Circle
      Lesson 8: Relating Area to Circumference
      Unit 3
      Lesson 9: Area Challenges
      Take Away (coming soon!)

      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 4
      Lesson 1: Mosaics
      Topic 2: Percent Increase and Decrease 
      Lesson 6: Increasing and DecreasingUnit 4
      Lesson 5: Percent Machines
      Lesson 12: Posing Percent Problems (coming soon!)
      Topic 3: Applying Percentages
      Lesson 10: Tax and Tip
      Lesson 11: Percentage Contexts
      Unit 4
      Lesson 12: Posing Percent Problems (coming soon!)
      Topic 4: Let’s Put It to Work 
      Lesson 16: Posing Percent ProblemsUnit 4
      Lesson 12: Posing Percent Problems (coming soon!)

      Unit 5: Rational Number Arithmetic

      Topic 1: Interpreting Negative Numbers 
      Lesson 1: Interpreting Negative NumbersUnit 5
      Lesson 1: Floats and Anchors
      Topic 2: Adding and Subtracting Rational Numbers
      Lesson 2: Changing Temperatures
      Lesson 3: Changing Elevation
      Unit 5
      Lesson 4: Draw Your Own
      Lesson 6: Subtracting Rational Numbers
      Lesson 7: Adding and Subtracting to Solve Problems
      Unit 5
      Lesson 4: Draw Your Own
      Lesson 10: Integer Puzzles

      Unit 6: Expressions, Equations, and Inequalities

      Topic 1: Representing Situations of the Form px + q and p(+ q) = r 
      Lesson 1: Relationships Between QuantitiesUnit 2
      Lesson 1: Paint
      Unit 4
      Lesson 1: Mosaics
      Topic 9 Dealing with Negative Numbers 
      Lesson 10: Different Options for Solving One EquationUnit 6
      Lesson 10: Collect the Squares
      Topic 3: Inequalities 
      Lesson 13: Reintroducing InequalitiesUnit 6
      Lesson 16: Shira the Sheep
      Lesson 14: Finding Solutions to Inequalities in Context
      Lesson 15: Efficiency Solving Inequalities
      Unit 6
      Lesson 16: Shira the Sheep
      Lesson 16: Interpreting Inequalities
      Lesson 17: Modeling with Inequalities
      Unit 6
      Lesson 16: Shira the Sheep
      Topic 4: Writing Equivalent Expressions 
      Lesson 18: Subtraction in Equivalent ExpressionsUnit 6
      Lesson 10: Collect the Squares
      Lesson 20: Combining Like Terms (Part 1)
      Lesson 21: Combining Like Terms (Part 2)
      Lesson 22: Combining Like Terms (Part 3)
      Unit 6
      Lesson 10: Collect the Squares

      Unit 7: Angles, Triangles, and Prisms

      Lesson 2: Adjacent Angles
      Lesson 3: Nonadjacent Angles
      Unit 7
      Lesson 2: Friendly Angles
      Lesson 4: Solving for Unknown AnglesUnit 7
      Lesson 2: Friendly Angles
      Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7
      Lesson 4: Missing Measures
      Topic 2: Drawing Polygons with Given Conditions 
      Lesson 9: Drawing Triangles (Part 1)
      Lesson 10: Drawing Triangles (Part 2)
      Unit 7
      Lesson 5: Can You Build It?

      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?
      Lesson 2: Prob-bear-bilities
      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 8
      Lesson 10: Crab Island
      Topic 4: Using Samples
      Lesson 15: Estimating Population Measures of Center
      Lesson 16: Estimating Population Proportions
      Unit 8 
      Lesson 10: Crab Island
      Lesson 17: More about Sampling Variability
      Lesson 18: Comparing Populations Using Samples
      Lesson 19: Comparing Populations with Friends
      Unit 8
      Lesson 10: Crab Island

      Grade 8

      Unit 1: Rigid Transformations and Congruence

      Illustrative MathematicsAmplify Classroom
      Topic 1: Rigid Transformations 
      Lesson 1: Moving in the PlaneUnit 1
      Lesson 1: Transformers
      Lesson 2: Naming the MovesUnit 1
      Lesson 2: Spinning, Flipping, Sliding
      Lesson 3: Grid MovesUnit 1
      Lesson 4: Moving Day
      Lesson 4: Making the MovesUnit 1
      Lesson 1: Transformers
      Lesson 2: Spinning, Flipping, Sliding
      Lesson 4: Moving Day
      Lesson 5: Coordinate MovesUnit 1
      Lesson 4: Moving Day
      Lesson 6: Describing TransformationsUnit 1
      Lesson 6: Connecting the Dots (coming soon!)
      Topic 2: Properties of Rigid Transformations 
      Lesson 8: Rotation PatternsUnit 1
      Lesson 1: Transformers
      Lesson 2: Spinning, Flipping, Sliding
      Lesson 4: Moving Day
      Topic 5: Let’s Put It to Work
      Lesson 17: Rotate and TessellateLesson 13: Tessellate

      Unit 2: Dilations, Similarity, and Introducing Slope

      Topic 1: Dilations
      Lesson 1: Projecting and ScalingUnit 2
      Lesson 1: Sketchy Dilations
      Lesson 2: Dilation Mini Golf
      Lesson 2: Circular Grid
      Lesson 3: Dilations with No Grid
      Lesson 4: Dilations on a Square Grid
      Lesson 5: More Dilations
      Unit 2
      Lesson 1: Sketchy Dilations
      Lesson 2: Dilation Mini Golf
      Topic 2: Similarity 
      Lesson 6: SimilarityUnit 2
      Lesson 6: Social Scavenger Hunt
      Topic 3: Slope
      Lesson 10: Meet SlopeUnit 3
      Lesson 4: Flags

      Unit 3: Linear Relationships

      Topic 1: Proportional Relationships 
      Lesson 1: Understanding Proportional RelationshipsUnit 3
      Lesson 1: Turtle Time Trials
      Lesson 2: Graphs of Proportional RelationshipsUnit 3
      Lesson 1: Turtle Time Trials
      Lesson 3: Representing Proportional RelationshipsUnit 3
      Lesson 1: Turtle Time Trials 
      Topic 2: Representing Linear Relationships
      Lesson 5: Introduction to Linear RelationshipsUnit 3
      Lesson 1: Turtle Time Trials
      Lesson 7: Representations of Linear RelationshipsUnit 3
      Lesson 4: Flags
      Topic 3: Finding Slopes 
      Lesson 9: Slopes Don’t Have to be PositiveUnit 3
      Lesson 4: Flags
      Lesson 11: Equations of All Kinds of LinesUnit 3
      Lesson 4: Flags
      Topic 4: Linear Equations 
      Lesson 13: More Solutions to Linear EquationsUnit 3 
      Lesson 4: Flags

      Unit 4: Linear Equations and Linear Systems

      Topic 2: Linear Equation in One Variable 
      Lesson 5: Solving Any Linear EquationUnit 4
      Lesson 5: Equation Roundtable
      Lesson 6: Strategic SolvingUnit 4
      Lesson 5: Equation Roundtable
      Topic 3: Systems of Linear Equations
      Lesson 11: On Both of the Lines
      Lesson 12: Systems of Equations
      Lesson 13: Solving Systems of Equations
      Unit 4
      Lesson 11: Make Them Balance
      Lesson 12: Line Zapper

      Unit 5: Functions and Volume

      Topic 1: Inputs and Outputs 
      Lesson 1: Inputs and OutputsUnit 5
      Lesson 1: Turtle Crossing
      Lesson 2: Guess My Rule
      Lesson 2: Introduction to FunctionsUnit 5
      Lesson 1: Turtle Crossing
      Lesson 2: Guess My Rule
      Topic 2: Representing and Interpreting Functions 
      Lesson 3: Equations of FunctionsUnit 3
      Lesson 1: Turtle Time Trials
      Lesson 4: Tables, Equations, and Graphs of Functions
      Lesson 5: More Graphs of Functions
      Unit 5
      Lesson 5: The Tortoise and the Hare
      Topic 3: Linear Functions and Rates of Change
      Lesson 8: Linear FunctionsUnit 3
      Lesson 4: Flags
      Lesson 9: Linear ModelsUnit 5
      Lesson 5: The Tortoise and the Hare
      Topic 4: Cylinder and Cones 
      Lesson 13: The Volume of a CylinderUnit 5
      Lesson 11: Cylinders
      Lesson 14: Finding Cylinder DimensionsUnit 5
      Lesson 11: Cylinders
      Lesson 15: The Volume of a ConeUnit 5
      Lesson 13: Cones
      Lesson 16: Finding Cone DimensionsUnit 5
      Lesson 13: Cones

      Unit 6: Associations in Data

      Topic 2: Associations in Numerical Data 
      Lesson 3: What a Point in a Scatter Plot MeansUnit 6 
      Lesson 3: Robots
      Lesson 4: Fitting a LineUnit 6 
      Lesson 4: Dapper Cats
      Lesson 6: Find the Fit
      Lesson 5: Describing Trends in Scatter PlotsUnit 6 
      Lesson 3: Robots
      Lesson 7: Observing More patterns in Scatter PlotsUnit 6 
      Lesson 3: Robots
      Topic 3: Associations in Categorical data 
      Lesson 9: Looking for AssociationsUnit 6
      Lesson 11: Finding Associations
      Lesson 10: Using Data Displays to Find associationsUnit 6
      Lesson 11: Finding Associations

      Unit 7: Exponents and Scientific Notation

      Topic 1: Exponent Review 
      Lesson 1: Exponent ReviewUnit 7 
      Lesson 1: Circles
      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
      Topic 3: Scientific Notation 
      Lesson 13: Defining Scientific Notation
      Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
      Unit 7 
      Lesson 9: Specific and Scientific
      Lesson 11: Balance the Scale
      Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 
      Lesson 9: Specific and Scientific
      Lesson 11: Balance the Scale

      Unit 8: Pythagorean Theorem and Irrational Numbers

      Topic 1: Side Lengths and Areas of Squares
      Lesson 5: Reasoning about Square RootsUnit 8
      Lesson 4: Root Down
      Topic 2: The Pythagorean Theorem
      Lesson 6: Finding Side Lengths of TrianglesUnit 8
      Lesson 8: Triangle-Tracing Turtle
      Lesson 10: Applications of the Pythagorean TheoremUnit 8
      Lesson 10: Taco Truck
      Topic 5: Let’s Put It to Work
      Lesson 16: When Is the Same Size Not the Same Size?Unit 8
      Lesson 10: Taco Truck

      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.

      Nurturing young children’s curiosity and wonder in the math classroom

      Based on my experience in math education, I find that many pedagogical structures or moves sound great in theory, but are often easier said than done. Because of the complexity, asking students to construct mathematical arguments has been one of those things for me. Fortunately, over the years, I have had the joy and privilege to work with Jody and Chepina, whose thinking around math argumentation is grounded in theory and paired with practical and actionable advice and structures. I am so excited for others to share in their deep thinking and look forward to seeing the impact their work will have in classrooms.

      —Kristin Gray, Executive Director, Math suite, Amplify

      Mathematical argumentation as an opportunity for curiosity

      Students bring curiosity and wonder to the classroom every day. When we’re attending to their ideas, we can find more opportunities for mathematical argumentation in our math lessons. Let’s look at how these opportunities arise in a first-grade classroom.

      The lesson and card sort activity

      The purpose of the lesson was for students to identify equivalent addition expressions by sorting cards, each with a different expression. Students quickly noticed that there is more than one way to get the same value. They could even begin to see the commutative property in action when shown cards with addends in opposite order: 4 + 3 = 3 + 4.

      While sorting addition expressions, rather than organizing the cards in piles by their value, one student named Jenna organized the cards in columns. This student-led creative modification to the card sort structure allowed for different noticings and wonderings to emerge. She started by creating a row across the top with cards showing one addend of 0. At first, she wasn’t consistent with the top card being 0 + x or x + 0, but over time changed them so that they were all 0 + x. Then she filled in the last column with expressions equal to 10. As she added cards, she started to change the order so that the first addend on the cards increased going down the column and the second addend decreased.

      Math lesson and card sort activity.

      As Jenna added each card to her organizational structure, the teacher asked where that card would go and how she knew. When asked about the 2 + 6 card, for example, Jenna said, “Because this is counting to 8, and this”—she pointed to a gap—“has to be 7, because [the 6 is] 2 less than 8. It fits here because these are all twos” (in the row). Jenna was coordinating several characteristics of rows and columns within the structure of the chart.

      As Jenna continued to fill in the chart, she noticed yet another pattern. Pointing to the step pattern, Jenna noticed that, “There is a stair step. The pattern keeps going. There’s one more way to make the total as it gets bigger.”

      Rows of flashcards with math lessons.

      We could state this conjecture more precisely as: “For any whole number n, there are n + 1 ways to add two whole numbers to get a sum of n.” Jenna was making sense of big math ideas and noticing structure embedded in arithmetic.

      Reflecting on the experience

      As we step back and reflect on what we experienced with Jenna, we wonder what could happen next. How might Jenna justify her thinking? She noticed the stair-step pattern and multiple ways to arrive at the total. What might she say if we asked her, “Why is that happening?” Or if we gave her a tool such as linking cubes and asked if she could use the cubes to show why that works? Are there other questions that could have nudged her to extend her thinking, such as, “Will that always work?” or “What numbers does it work for?” Is there a tool or representation that would help her continue her reasoning?

      We can also think about what might happen if we shared Jenna’s idea with the other students. How might they respond to Jenna’s noticing? Would her ideas lead others to see and use structure in similar ways? How would they make sense of her ideas? Perhaps this is an opportunity to engage students in each other’s ideas.

      Opportunities for curiosity

      The opportunity for Jenna and her classmates to make sense and explore their natural curiosity emerges from a classroom environment that’s playful and filled with wonder—where children are given time to explore and interact with materials and each other. We noticed that as Jenna progressed through the cards, she refined and added on to her thinking. This is evident in the first row of cards. She grouped cards with 0 as an addend, then began to sequence them, and later considered the positioning of the addends to 0 + x. As we might infer from the interaction of the teacher, there isn’t one right way to think about the task, nor one way for the teacher to encourage students to think about it. We hear the teacher ask Jenna to share her reasoning: It’s not a question posed to evaluate Jenna’s thinking, but rather to gain insight into her thinking—something the teacher is genuinely curious about.

      In addition to the classroom environment, the card sort also presented an open-ended opportunity. Students made sense of the sort in many different ways, some finding related pairs and starting to identify (not yet naming) the commutative property, others grouping problems with a common addend in piles. All students had access to the task and time to make sense of it.

      We share the story of Jenna as one of many instances where young children have shared their brilliance with us. Their wonder and curiosity inspired us to explore their ideas along with K–2 teachers. We saw students notice, wonder, conjecture, justify, and extend ideas that led to a deep understanding of key mathematical concepts while integrating mathematical argumentation.

      We share ideas like the brilliance from Jenna in our new book, Nurturing Math Curiosity with Learners in Grades K–2, where we also make connections among instructional routines, center, and card sorts. Our book also discusses supporting students in curious exploration, building on what they already bring to the classroom as a way to bring opportunities for mathematical argumentation into our lessons.

      Rumsey, C., & Guarino, J. (2024). Nurturing Math Curiosity with Learners in Grades K–2. Solution Tree. Bloomington, IN. ISBN: 9781960574367

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      S1-04: Connecting with students and caregivers in the science classroom: Ryan Rudkin

      Promotional graphic for "science connections", season 1, episode 4, featuring a smiling woman named Ryan Rudkin, themed with science illustrations like atoms and a globe, highlighting how to engage students

      In this special episode, our host Eric Cross sits down with veteran middle school teacher Ryan Rudkin. Ryan shares her expertise after almost two decades in the classroom, discussing ways to incorporate aspects of problem-based learning into the K–8 science classroom. Eric and Ryan talk about how to increase parent engagement, involve community members, and add excitement to lessons.

      Explore more from Science Connections by visiting our main page.

      Download Transcript

      Ryan Renee Rudkin (00:00):

      I know there’s other goals in mind, you know, standards and test scores. But at the end of the day, I wanna come back and I want them to come back.

      Eric Cross (00:35):

      My name’s Eric Cross, host of our science podcast, and I am with Ryan Rudkin, middle-school teacher out here in California just to the north up near Sacramento? El Dorado Hills?

      Ryan Renee Rudkin (00:46):

      Yeah. 20 miles east of Sacramento.

      Eric Cross (00:49):

      Nice. And I am down here in San Diego. And so Ryan, to start off, what I wanna do is ask you about your origin story, like a superhero. So how did you become a middle-school science teacher to become part of this elite profession of science folks that get to do awesome things with kids?

      Ryan Renee Rudkin (01:08):

      I would agree with you that it is definitely an elite profession. I got my credential and I thought I was gonna teach third or fourth grade elementary school. And the second day I got called for a sub job for middle school. And I just thought, “We’ll take it,” you know? And by second period, I knew: This is where I belong. The kids, middle school, students are just a species of their own. And you have to appreciate them. And if you do appreciate them, then you’re in the right spot. And I quickly looked at my coursework and I was able to get authorizations in science, history, and English, and I love science. So I chose science. And the rest is history. It’s been a wild ride and I wouldn’t have changed or asked for anything different. I love it.

      Eric Cross (02:02):

      I definitely agree with you. So, your history—you’ve been in various middle-school classrooms. Can you tell us a little bit about that? What classrooms have you been in? What disciplines of science have you taught or are currently teaching?

      Ryan Renee Rudkin (02:14):

      I was hired for seventh grade life science, and then I did that for a few years and then I got moved into eighth physical science, and I was there for 12 years. Love eighth grade science. I love eighth graders. Chemistry and physics are my favorite. There’s just so much opportunity for just awesome labs, great conversations, student discourse, all of that. And then the past three years I’ve been in sixth grade and now we’re integrated. So,a sixth grade integrated science and I also teach social studies and a technology design class.

      Eric Cross (02:52):

      Oh, nice. What do you do in your technology design class? That sounds cool.

      Ryan Renee Rudkin (02:56):

      Right now it’s mostly internet media and we use WeVideo, it’s an editing-video program, and we produce and put on our school weekly news bulletin. And then we weave in other projects. We do some interdisciplinary projects. Right now my students are working on a mythology God, Goddess, and Monster project that relates to our social studies curriculum. And we’re learning about Greece. So yeah, we just try to give them added projects and they’re using the WeVideo platform. By sixth grade, they’re coming to us now with wonderful skills with all the tech. I mean, if I need help, I ask them like, “How do you do something on Google Docs?” Or, “How do you do something on Drive?” The kids are definitely tech-savvy.

      Eric Cross (03:49):

      They must love being the teacher in the classroom. They get to—it kind of switches power roles, where they get to teach the teacher something.

      Ryan Renee Rudkin (03:56):

      Yes. And especially WeVideo, sometimes we’ve had some hiccups, and the kids show everybody, and that’s part of the design class. They’re trying to solve—we’re teaching them how to solve their own problems. So if there’s any kind of issue with anything with the technology, honestly, I usually tell them, “Go ask a friend,” or we kind of shout out, “Hey, who knows how to troubleshoot this?” And the kids are eager to help each other, which is nice.

      Eric Cross (04:21):

      And they have this authentic experience where they’re actually doing real problem-solving, as opposed to something that we manufactured. Like, those are real things that we have to deal with in life. And that’s exactly like how we solve it, right? We just go ask people! We look it up, and the ahas are genuine too. Throughout!

      Ryan Renee Rudkin (04:36):

      Yes, especially thinking on the fly. Especially yesterday, I was in the middle of teaching and my laptop froze, and it’s like, “OK, everybodytake a couple minutes, you know, work on this, this, or that while I switch out laptops!” And so I’m modeling, too, how to solve my own problems. And I think it teaches the kids how to do that too.

      Eric Cross (04:59):

      I’ve always thought it was interesting that when teachers get to teach in real time, how do we handle stress and frustration when it’s really happening? And I think the tech—at times, failure is the real one where you feel this chill or this sweat that kind of comes over you and you’re trying to present or cast or the video won’t play and things like that. I think I’ve done enough times in my years of teaching where now my students know what to do, or they want to come up and help, and we’re good with it. But I remember in the beginning when those things would kind of glitch or go wrong or the wifi goes down, and you’re like, OK, what do we need now?

      Ryan Renee Rudkin (05:33):

      I think it’s honestly, after the fact, when I think in the moment, I’m not thinking of feeling stressed, but just afterwards, then I’m like, “Oh my gosh, this has just been a wild day.” But yeah, you just have to kind of go with it. And that’s just the beast of middle school. I just added to the list of why we love it.

      Eric Cross (05:53):

      You said something about interdisciplinary work, and I wanna kind of ask about that. Because it sounds like you’ve had your hand in several different areas of science and grade levels. Working, doing design courses, working with tech. Are there certain lessons that are your favorites to teach? The ones that you really enjoy, or that no matter what, you’re like, “We need to do this; this is such a rich experience for students”?

      Ryan Renee Rudkin (06:17):

      Yeah. I definitely try to do lessons or activities along the way. I like to do projects at the end of my units. When I taught physics, we did a project and it was mainly an assessment tool called the Wheeling and Dealing. The kids, they would all get a different car. And then they to sell their car. And so they had to pretend to be a car salesman, and they did that with their knowledge of the physics unit. So everything we did on forces and speed and motion. So I like doing culminating projects like that. And you’re kind of tricking them into assessing them.

      Eric Cross (06:57):

      When I think about your car salesman project, I’m thinking of a bunch of students, but they’re like on Shark Tank, but they’re just littler versions. And they’re doing these sales pitches, but they’re speaking in scientific terms as they’re trying to do it. Do you record these or do they just exist in the classroom?

      Ryan Renee Rudkin (07:12):

      No…And that was a long time ago, when I taught eighth grade. I wish I had; I wish I had recorded. That was definitely—it was fun, ’cause the kids, they would get their little piece of paper and they—some of ’em didn’t know what car it was. And so they’re like “A Boo… A Boo-gatti? What’s a Boo-gatti?” And then someone from across the room would be like, “Ooh, I want it! Here, I’ll trade you my Ford Focus!” And <laugh> so they would kind of wheel-and-deal which car they would…and then once they got their choice, then they would do the project.

      Eric Cross (07:44):

      So they’re really embodying this persona of a car salesman. The wheeling and doing back-and-forth and trying to trade a Bugatti for a Ford Focus. <Laugh>

      Ryan Renee Rudkin (07:53):

      I know. <Laugh> I like to make my class, my learning environment, enjoyable. You know, I gotta be there; they gotta be there. So I know there’s other goals in mind—you know, standards and test scores—but at the end of the day, I wanna come back, and I want them to come back. And I just have that as a priority.

      Eric Cross (08:18):

      Well, based on the projects that you’re doing and the way that you approach education with students, I can see why middle-school students would want to come back, even if they had the option not to. Just because of the cool things that you’re doing. Now we’re on this—hopefully, fingers crossed—tail end of COVID in the classroom and schools, and I know it’s impacted all of us differently. Has student engagement changed since COVID and if so, how, and what have you done in these last two years to maybe adjust your approach, to continue that engagement and that richness that you provide for your kids?

      Ryan Renee Rudkin (08:57):

      I definitely—I think for me, I recognize that when the students are in my classroom, I want them to, I dunno, for lack of a better word, just escape the noise at home. And I know we’ve always had students that are going through divorce situations or their dog died, other things, but I think with COVID, it’s definitely been compounded. And just creating a safe place for the kids to want to be and…it’s hard. We’ve had a lot of students that have been out, absent, for various reasons and on quarantine. And they’re struggling with doing work from home, ’cause their parents are stressed and their parents are dealing with their work issues. And so I think just having grace for the kids and just keeping…I don’t know, I guess like I said, I’ve always had student engagement as top of my list.

      Eric Cross (10:06):

      It sounds like—the things I hear you say really have to do with who these students are as people.

      Ryan Renee Rudkin (10:12):

      Yeah.

      Eric Cross (10:13):

      And then as a second, who they are as students. How do relationships fit into your engagement? ‘Cause I’m hearing this connection that you seem to be making with kids as you’re talking about things that are beyond academics: their home life, how they’re impacted.

      Ryan Renee Rudkin (10:28):

      Yes.

      Eric Cross (10:28):

      Is there anything that you do to build these relationships, or to connect with your students, to make them feel wanted or feel connected to the classroom or to you?

      Ryan Renee Rudkin (10:37):

      Yeah, I do. I do a few things to build those connections. And again, this timeframe in their life is so out of their control, their peer relationships, relationships with their parents. And when they’re in my classroom, I want them to feel loved and appreciated. Something I do it’s called Phone Fridays. And in one of the social media groups, someone posted about it, and I’ve been doing it for over a year now, actually. So on Fridays I call parents and give good news. And so I’ll pick maybe one or two students. And it could be academic reasons. It could be behavior, I’ve seen a slight improvement of behavior. Maybe a role model in the classroom. And my goal is to get everybody every trimester. So everybody gets a phone call by the end of the trimester. And it’s funny ’cause sometimes the parents are a little like “Uh-oh”! When they pick up, they see the caller ID, and their school’s calling. ‘Cause Some kids don’t get good calls. So it’s a really—I would say every single parent that I’ve called, I usually get a follow-up email, either to me or my admin, just saying it’s such a cool idea I do this; thank you so much. And yeah, I just call and give good news and just put ’em on the spot. And usually the kids are a little embarrassed, but you can tell, even though they’re kind of—I think they’re faking it, that they’re embarrassed! ‘Cause You know that they got the Phone Friday, and everybody’s like, “Who’s gonna get the phone Friday?!” And so it’s a very big deal in my class.

      Eric Cross (12:07):

      What a great way to—I mean, it seems like that hits on so many levels. You’re making these positive calls home. You’re praising publicly, which a lot of times can happen where students can get criticized or redirected publicly and then praised privately, which is a lot of times the reverse what we should be doing. But here you are praising them publicly. And then you’re not only building a relationship with yourself, but you’re also connecting them with their parent or whoever is caring for them, because now when they go home, there’s this, “Hey, your teacher called; you’re doing awesome!” So it’s this kind of triangle that’s forming there. I think that’s super-cool and a great thing for teachers to do.

      Ryan Renee Rudkin (12:45):

      It takes, you know, the last five minutes of my class. I do it every class. And then I have a system. Like I said, I keep track of all the kids. That way, by the end of the trimester I’ve gotten everybody. Sometimes I let the students, whoever I call first, then I let them pick a peer and I tell them, “OK, we have to have a solid reason. Why are we calling?” And a couple times they’ll have a student, like one of my energized ones, they’ll raise their hand. “How About me? How about me?” And I and the kids kind of laugh a little and I said, “Well, how about this? Let’s make a goal. How about next week we’re gonna make a goal and we’re gonna have a reason to call home.” So just working on the kids that need a little push in the right direction. That’s other reasoning to it. But yeah, it’s fun. I love it.

      Eric Cross (13:33):

      And you have the community. You have this goal setting. We were talking a little earlier about this transition—so you’re becoming this…your school’s going through the IB process, is that right?

      Ryan Renee Rudkin (13:44):

      Yes.

      Eric Cross (13:44):

      And we were talking about the ATL skills and one of them is goal-setting management. You already kind of organically do this in your classroom, which is really neat. I know being an IB teacher, a lot of times I find the things that I’ve already been doing and find, “Oh, this is actually an approach to learning!” or “This is something that has a title!” I just thought it was just being helpful! Ah…So the kids are connected. You have this process where you’re calling parents; it’s working; students are involved, so it’s building this community. Now you’re engaging students. Do you have any favorite student engagement tools that you use in your classroom or when you’re teaching that you feel like you get a lot of bang for your buck? There’s so many things out there these days. And so many approaches, tools, web apps. Do you have any favorites that you use?

      Ryan Renee Rudkin (14:40):

      No. Nothing comes up top of my mind right now. Mostly just projects, like I said. And being excited. I think having my students see me excited about something…and I’m honest when we’re doing something that’s not quite my favorite, then I’m honest about that too. But just having my—like, we just started thermal energy this week and I told my students, I said, “OK guys, I’m gonna weave in some chemistry in there. I’m gonna weave in some particle motion,” and they’re like, “Oh! That’s when you taught eighth grade, huh!” Cause I talk a lot about when I taught eighth grade before. I don’t know, just showing my own enthusiasm, I think, is a good payoff to me. That’s a bang for your buck. Other things…I try to give ’em cool videos and Mark Grober, he’s definitely a favorite of mine I like to show my students. I like to bring in guest speakers from our community. When I taught eighth grade for physics, I always brought in a local CHP officer and they would bring in the radar and lidar guns and the kids would mark off the parking lot and they would calculate their speed. And then they would verify it with the radar gun. Two years ago when I taught math, I brought in a local landscaper company, a father-and-son outfit, and they showed the kids how they would do bids on jobs. And so, relate it to our chapter on volume and area. So just making that connection with real life. Plus it’s just a nice opportunity, too, for the community to come in. With our design class, put on our newscast. And then one of our units in our sixth grade curriculum is weather. And so I brought in a local weatheruh, chief meteorologist. And he actually talked to the students about his job as a meteorologist and then also being on the news and putting on a newscast. So we got him on our green screen and did a little like Mark Finan, you know, little cameo on our newscast for the week for school. So that was kind of cool.

      Eric Cross (16:45):

      They must have been excited.

      Ryan Renee Rudkin (16:47):

      Yeah. They’re pretty starstruck by him. So that was pretty fun.

      Eric Cross (16:51):

      This person was on their local news? So they would know him?

      Ryan Renee Rudkin (16:56):

      Yeah, he’s on Channel 3 out of Sacramento. Yeah. KCRA Channel 3, Mark Finan.

      Eric Cross (17:00):

      So all these guest speakers that you have…how do you reach out to these people? And you sound like you get a lot of success. Do you ever get nos? Like if I’m sitting here listening and that inspires me, but you’re getting celebrities and you see a few people…like, how do you reach out to them? And does everybody say yes? How does it go?

      Ryan Renee Rudkin (17:21):

      Well, usually at my back-to-school night, I always ask the parents if they have a career or hobby that could lend itself to the curriculum. And so sometimes I’ll hear about—students will talk about, like, “My mom’s a doctor.” And so I’ll reach out to parents and just say, “Hey, you know, your kiddo said, you’re a doctor. May I ask what type?” And most of the time the nos that I’ve received are just because of schedule conflicts. You just have to get creative! Look in your community and see what you have. People want to come and talk to kids. I’ve had some presentations that the person is so intelligent and amazing, but they just, weren’t very kid-friendly. I mean, that happens. Butsomeone knows someone. And just ask! I mean, it doesn’t hurt to ask to have ’em come out, come hang out for the day, with my students. Andone time I had a nurse practitioner she was in the cardiac unit. And so she brought in hearts and led a heart dissection with my students. And we did a station set-up. I’ve had elaborate ones like that, or just a mom come in to tell my students about her job as a nutritionist and relate it to our unit on metabolism. And so just did like a little 15-minute Q&A with the kids on nutrition. And I would just say, look at your community and/or post on social media. I always do that. Post in your school’s PTA groups. So the parents know someone, that’s for sure. Or someone’s retired. One time I had—I think he was a grandfather of one of the kids—he was into rocks. And he had a bunch of meteorites <laugh> and brought in his meteorites.

      Eric Cross (19:15):

      Bring in your rocks!

      Ryan Renee Rudkin (19:15):

      I know! Right? And he <laugh> just brought in his meteorite collection! I was like, sure, come on in!

      Eric Cross (19:23):

      That’s one of the things I love about being a middle-school teacher is that my students have such varied interests and I’ll get the Rock Kid every once in a while and he’ll come in and he’ll have all these rocks and crystals. And a lot of times there’s a grandfather that’s responsible for this inherited geologic treasure that they have.

      Ryan Renee Rudkin (19:45):

      Yeah, something like that—I mean rocks are not my favorites, but I don’t really tell the kids that. I was like, “Sure, yeah, come on in! We can have a whole-day lesson on rocks!”

      Eric Cross (19:55):

      <Weakly> “This is great!”

      Ryan Renee Rudkin (19:58):

      Just utilizing your resources. That’s all it’s about.

      Eric Cross (20:02):

      Well, I think the back-to-school night was really helpful. That’s something that’s super doable. You have a bunch of parents and you just simply ask, “Who do you know? What do you do?” And then just collecting that and then just asking people to come in. I’ve I’ve been reluctant to do it more often than I’ve wanted to, because I haven’t figured out—and maybe you can help me with this—I have three class periods a day plus other class periods that are not necessarily science. And I don’t want to dominate a person’s schedule. Do they tend to be willing to stay all day? Or do you do, one class gets it, and you record it? Like, how do you balance out the speakers with your school schedule?

      Ryan Renee Rudkin (20:39):

      Mostly they’ll they’ll just come for the whole day. When I taught eighth grade, I had five classes, so that was easy. That was an all-day thing. And then usually I’ll offer to call lunch, have lunch delivered, or snacks during the day. I mean—

      Eric Cross (20:53):

      Feeding them is key.

      Ryan Renee Rudkin (20:54):

      Yeah. Just something kind of nice. Donuts in the morning. I mean, you’d be very surprised. Most people that are in the field or retired, like I said, they’re more than willing to come. And even if they have to wait an hour, while you teach another class that doesn’t pertain to it, then they’ll either leave or come back or just hang out in the back and pretend to be a student during that history class that you have.

      Eric Cross (21:20):

      It’s my own limiting belief where I feel guilty. I don’t think about it. I need to think about it through the perspective that you do, that these people WANT to talk. I just assume everybody’s so busy. But I do know, the times I’ve had speakers come out, at the end of the day, they’re so energized or they’re so happy or they’re so grateful. ‘Cause They’re like, “This is what it’s like to teach every day?” I’m like, “Yeah, this is what it’s like.”

      Ryan Renee Rudkin (21:42):

      I think too, a lot of parents…usually being being in the stops at elementary. A Lot of parents don’t get the opportunity to come help out in the classroom, because the middle school kids, you know, it’s not very cool or it’s just not needed like in the elementary classes. So a lot of times, like I said, you’d be surprised. A lot of the parents they’re more than happy to come and hang out. And again, some students, they don’t want their mom or dad to be there, but then I talk it up. I’m like, “Everyone’s gonna be so like impressed that your dad’s a doctor,” or “your mom’s a doctor” or —so then I kind of like downplay it. Like, “Oh, whatever, you’re you’re faking it. It’ll be fine. Don’t be embarrassed.” Leading up to their parent coming into the classroom.

      Eric Cross (22:36):

      Right. Kind of redirect that energy toward something positive. With guest speakers, projects, pacing, all these awesome things that you have going on, how do you find balance as a teacher, as a person? And what encouragement would you give to new or aspiring teachers? We work in a profession that will take as much as you give it. And you fall asleep at night worrying about other people’s kids and we love it. And teachers by personality can just give and give and give and give. But in order for us to last—I’m thinking about those new teachers who are going into it, who are gonna go in and be there before the sun gets up and stay after the sun gets down. How do you maintain balance, taking care of yourself? You’ve been in education for—how long have you been teaching for?

      Ryan Renee Rudkin (23:29):

      Sixteen. This is my 16th year.

      Eric Cross (23:31):

      Enough to be that veteran. So how do you find balance? And then, what encouragement would you give to new or aspiring teachers?

      Ryan Renee Rudkin (23:39):

      I would say each year, pick one or two things to add on. You can’t add on 10 things, even though you’re gonna find 10 things that are awesome. But just make a little list, put ’em in a file, and every year, just get good at what you do and then just add on one or two things. And reflect on what’s not going well that you can get rid of to make room to add something else. Try to be patient with yourself. And don’t reinvent the wheel. There’s so many things out there that you can borrow and make it your own. Again, I think that’s a time-saver, just leaning on your colleagues. And take lots of notes, because then when you do it again next year, you can refresh yourself and, “Oh yeah, this lesson, wasn’t the best…” What can you add in to make it a little bit better? And yeah, I would say just take on one or two things each year. And then by the time you get to, you know, being a veteran, you can do all these awesome things and it’ll feel natural ’cause you’ve been practicing and just adding in one thing at a time. I coached Science Olympiad a bunch of years ago, and Science Olympiad is so rewarding. It’s just so amazing.

      Eric Cross (24:59):

      What is Science Olympiad, for the people who’ve never heard of it?

      Ryan Renee Rudkin (25:03):

      Oh, Science Olympiad is so awesome. Google it. I think it’s just ScienceOlympiad.org. It’s 23 different events across all disciplines of science, different topics. And then you have a team of 15 students. And so your 15 students have to cover the 23 events. So for example, if the student’s on the anatomy team, usually there’s a team of two kids they’re gonna study and learn. They provide all the rules and the guidelines. So the students learn and study whatever the parameters are for that year. And then they take a test. And then they compete against other schools. And there’s build events, the engineering events, they can build things like trebuchets matchbox cars or mousetrap cars. Oh gosh, there’s all kinds of things. There’s like a Rube Goldberg device. It changes every year. And it’s so rewarding to see the kids; they pick their area of science that they love. And sometimes you have to put them on an event that they don’t know, and then they end up loving it. It’s so rewarding as a teacher to see these kids that are just on fire and you know that one day they’re gonna go off and do amazing things. They just commit. They commit to their event. And then they blow it outta the water and they win medals and just the recognition…it’s super, it’s just an amazing program.

      Eric Cross (26:42):

      One of the competitions that’s really low-tech that I’ve taken into my classroom is Write It, Do It. Have you done that one before?

      Ryan Renee Rudkin (26:50):

      Oh, yes. Yeah. That’s one. Yep.

      Eric Cross (26:52):

      It’s such a low-tech, simple one to do, but it teaches such great skills. And for those people who haven’t heard of the Write It, Do It project, you create kinda some abstract art out of random crafts. That’s very difficult to describe. You have pipe cleaners and foam and balls and you know, all these different things. And you make it. And then one person on the team is the writer, and they look at it and they write the procedures, and then their teammate, who’s in a different room and doesn’t get to see it, gets all the materials to build it and the procedures, and they have to rebuild it as closely as possible to the actual original. Even though they don’t get to see the original. So they have to rely on their partner’s ability to write procedures step-by-step. And it was fun to watch my students become teammates in that. And they learned how to communicate in a really fun competition. So I expanded it to do it with all of my students as an activity, just to teach them how write descriptively, to write procedurally, to be technical writers. And it’s, it’s fun! It’s fun to see what they build based on what the students say. <Laugh> And it’s also fun to watch them interact with each other, which for seventh graders, usually it’s conflict. <Laugh> But, like, playful conflict. <Laugh> It’s pretty funny to see what they build.

      Ryan Renee Rudkin (28:11):

      They’re like, “Man, what are you talking about? That doesn’t mean this; it means this!”

      Eric Cross (28:16):

      <Laugh> I know part of me feels guilty, but not enough to stop the project. ‘Cause I know for some of ’em, it’s gonna be a really trial by fire being able to practice their skills with writing procedures.

      Ryan Renee Rudkin (28:27):

      But they’re learning among themselves how to provide more details and to be more thorough with their writing and and their thoughts, put their thoughts onto paper. So yeah, that’s a funny event. Definitely.

      Eric Cross (28:41):

      Earlier you had mentioned something about connecting your kids with kids and students outside of your classroom. What is it that you do with that? Because I thought that was a really cool project. Can you speak to that a little bit?

      Ryan Renee Rudkin (28:57):

      Yes, I’ve done—they haven’t had it in a few years, but there’s something called the Pringles Challenge. And if you Google that, I’m sure it’s on the Internet still. So you sign your class up, or your classes, and you get partnered with another school somewhere in the U.S., someplace else. And you decide individually teams, whatever they build. And they make a package to ship a single Pringle chip through the mail. And then you actually mail a Pringle chip through the mail. And then your partner team or partner school, they send their chips to you and then you open everything and then you can take pictures and video. And then there was a whole scoring process where you would score when you receive the chips. And then you input all the data on the website so you can see like how your—and most schools would trade pictures, so that the kids found out how their chip survived. March Mammal Madness is so much fun. Again, Google that.

      Eric Cross (30:01):

      Did you say March Mammal Madness?

      Ryan Renee Rudkin (30:02):

      Yes.

      Eric Cross (30:03):

      Like March Madness, with mammals?

      Ryan Renee Rudkin (30:05):

      Yes.

      Eric Cross (30:05):

      1. What is this?

      Ryan Renee Rudkin (30:06):

      It starts up in March. And you can sign your students up. And that one—it’s not too interactive with other schools, but this is opportunity to get the kids interacting within your site or within your district. Or if you have teacher friends at other schools. There’s like 60…I think it’s 64 animals? And they have this massive bracket that they post. And then you can have the students, I did it—it would be very time-consuming to have the kids individually research each animal. So I just gave one animal per student and so as a class we researched all the animals and then, I think it’s every three days or so, they have these bouts. And it’s all posted on YouTube. Google it. It’s kind of fun.

      Eric Cross (30:56):

      I’ve already got the website up, ready to go! Folks, everybody who needs to Google this: <articulates carefully> March Mammal Madness. And is it Arizona State University? Is that the main site, ASU?

      Ryan Renee Rudkin (31:04):

      Yes.

      Eric Cross (31:04):

      So people, listen to this. Check it out. March Mammal Madness. Look, I’m doing this! I’m already,—you’ve already sold me on this.

      Ryan Renee Rudkin (31:14):

      It is so much fun, oh my gosh. And then, then the kids—each round, they pick their pick, just like basketball. They do their picks and then you wait for the video. And they do it live on—I think it’s live on Instagram, or the next day on YouTube. And then the kids get all excited. And then usually the kids, whatever animal they got as their research animal, they’re rooting for that one to win, the whole thing.

      Eric Cross (31:42):

      But we still have time; we still have time to—

      Ryan Renee Rudkin (31:45):

      You can jump in anytime. Even if it’s already started, you can jump into it. It usually lasts—I believe it’s a two-week from beginning to end. When they do the first round, the wild card, and then all the way to the winner, I believe it’s a two-week process. Oh, maybe three, actually.

      Eric Cross (31:59):

      I’m already seeing this lead-up to the video being watched in class to see…I’m already thinking about like, “How do I prevent my students from finding the video?” Or like, “When does it go live so that I could be the one to show them so they didn’t go find it early?”

      Ryan Renee Rudkin (32:13):

      It takes time out of the class, but I believe it’s one of those things where you have to just…it takes 10 minutes out of the class, but it’s important. So when they each round and then the next day, they release the YouTube video. Last year, when it got down to the final round, we were on spring break. And so I told my students, “You guys, let’s do some optional Zooms. And so I had a bunch of kids log on and we all watched the videos together. So that was kind of fun. And then this year, the other thing, the first time I’ve ever done this and it’s going really well is—on social media, I was talking with one of the teachers from Ohio who teaches science and she and I decided we’re gonna do penpals for our students this year. Paper-And-Pen penpals. So that’s been a lot of fun. We just partnered up all the students, her students and my students, and once a month we send and receive the letters to each other. So that’s been a really cool experience.

      Eric Cross (33:14):

      If you keep doing that, and you need more teachers to be involved, can my students be penpals with your students?

      Ryan Renee Rudkin (33:20):

      Yeah!

      Eric Cross (33:20):

      If you open it up to more people? I think that, to get a letter, old-school? Letter in the mail? It would be so exciting.

      Ryan Renee Rudkin (33:28):

      It is. We mail them, the teacher and I, we just put them all together in one package. But yeah, it’s an actual handwritten letter.

      Eric Cross (33:37):

      The only letters I feel like I get in the mail now are bills.

      Ryan Renee Rudkin (33:42):

      Right? Exactly.

      Eric Cross (33:42):

      But I feel like the digital version of that is if someone calls me, it’s probably bad news. I don’t know if I’m the only one that’s like that, but I’m like, “Who’s calling me? Why aren’t you texting me? What’s going on? Text me first, then call! I need to know who’s going on, and if you’re unknown, you’re going to voicemail.

      Ryan Renee Rudkin (34:00):

      Exactly. The penpals has been a lot of fun.

      Eric Cross (34:03):

      You’ve been in education for a while. You’re on the other side of what it’s like to be a student in the classroom. Which can be surreal in itself, when we think about our own experiences as being a student. Is there a teacher or a learning experience that’s had an impact on you while you were a student in school that really stands out to you? And you can interpret the question however you want. But is there someone that’s memorable or an experience that’s memorable that you still carry with you today?

      Ryan Renee Rudkin (34:32):

      Definitely. My favorite teacher, and we actually still keep in contact on social media is Mrs. Sheldon. She was my fifth and sixth grade teacher. I had the pleasure when I was in elementary school, I was in an all-day contained GATE class—Gifted and Talented Education class. I vividly remember doing so many amazing projects. We built this big, giant—she brought in a big ol’, like, TV box. It was big, big, big. And you could stick like three kids inside there, standing up shoulder-to-shoulder. And we built this big dragon. The head, and we had the whole rest of the class in a big sheet behind us, and we would do a little parade around the school. And she had that thing for years after. They had to repair it every year, and they would do the little parade around school. She did a lot of traveling and when we would go on vacation and then come back, that was always the big deal: “Where did Mrs Sheldon go?” And she had sand from Egypt and pictures from the rainforest. And later when I became a teacher and then I looked her up and we reconnected I did ask her, “Did you go to those places? Or did you, like, lie about it? <Laugh> To get us engaged?

      Eric Cross (35:52):

      You went for the real questions!

      Ryan Renee Rudkin (35:54):

      I did. And she laughed and thought that was funny. And she did travel for real. But yeah, she’s an amazing woman. We still keep in contact. And I remember, you know, little things…like we would be out there doing our PE time and she’d have her long skirt, you know, dress on, with her tennies, and she’s out there playing kickball with us. Just a very kindhearted, smart, amazing woman. I’m very fortunate and I’m grateful that we are able to keep in contact. Love social media for that reason. So.

      Eric Cross (36:33):

      Yeah. And that’s Miss Sheldon?

      Ryan Renee Rudkin (36:35):

      Mrs. Sheldon. Marlene Sheldon. Yeah.

      Eric Cross (36:37):

      Shout-Out to Marlene Sheldon influencing the next generation of teachers, with engagement with your world travels and all those different things.

      Eric Cross (37:04):

      Ryan, thank you so much for one, serving our students. And in the classroom, our middle-school students who need us. I think that middle school especially, elementary school, those years are when students are really starting to decide, “What am I good at?” And the experiences that we create for our students really shape what they believe they can do. These really cool, engaging experiences, these projects that you’re giving them, whether they’re doing these car sales, Shark Tanks, or they’re doing penpals, or you have guest speakers, or they’re designing planets. These are things that students don’t forget. And then when they move on to higher grades, they remember more than anything, I think, how they felt about something. And it sounds like you’re crafting these awesome experiences. And so I just wanna thank you for your time. I know as a teacher it’s very short. And I thank you for being on the podcast with us.

      Ryan Renee Rudkin (38:04):

      Thank you. This has been a great experience. I just—I really enjoy my students. And I feel very, very grateful and very blessed for finding where I belong.

      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 Ryan Rudkin says about science

      “I like to make my class and my learning environment enjoyable. I know there’s other goals in mind… but at the end of the day, I want to come back and I want [students] to come back. It’s so rewarding as a teacher to see these kids that are just on fire… and you know that one day they’re going to go off and do amazing things. ”

      – Ryan Renee Rudkin

      Middle school science teacher

      Meet the guest

      Ryan Rudkin is a middle school science educator near Sacremento, California. Although she originally thought she would teach elementary students, Ryan connected with middle school and never looked back. Now in her 16th year in the classroom, Ryan also supports teachers in her district with professional development. Ryan’s favorite part of teaching science is seeing students grapple with concepts and explore phenomena.

      A woman with shoulder-length blonde hair smiles at the camera, wearing earrings and a dark top. The background is blurred green and gray.

      About Science Connections: The podcast

      Welcome to Science Connections: The Podcast! 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.

      The power of data: From literacy assessment to action

      Two educational documents are displayed, focusing on early literacy and literacy assessment for grades K-8. Images of children learning are included on the front page, highlighting their journey in language comprehension skills.

      Teaching literacy is a balancing act. Your classroom may have students who soar through grade-level reading lessons and others who need additional support—or even intensive intervention—to keep up. And you may feel like there’s never enough time to meet everyone’s needs.

      But with data, you can do it. By leveraging assessment data strategically, making the most of core instruction, and integrating intervention and personalized learning, you can give every student the support they need—without adding extra hours to your day.

      Let’s break it down.

      Types of data, defined

      This you know: Not all assessments are created equal. Universal screeners help identify which students need extra support. Formative assessments track ongoing progress. Summative assessments measure overall learning. Each is a tool that equips you with the right information at the right time to adjust your instruction.

      • Before core instruction: Universal screening and diagnostic assessments enable you to see where students are starting from and plan accordingly.
      • During instruction: Formative assessments (e.g., quick checks, observations, and exit tickets) catch misunderstandings early so you can reteach on the spot.
      • After instruction: Summative assessments measure progress; progress monitoring during intervention helps you know if students are on the right track before final assessments.

      The goal isn’t more testing—it’s using the data from the assessments you have to make smarter instructional decisions.

      Making the most of Tier 1 instruction

      You spend most of the school day on core instruction. Making it as effective as possible benefits all students, not just those who are struggling. The key? Teach explicitly; use high-quality materials grounded in the Science of Reading; and keep instruction aligned to grade-level standards while allowing flexibility for different learning needs. Specifically:

      • Model first, then guide, then let them try. Clear explanations and step-by-step modeling give students confidence before they work independently.
      • Use formative assessments to adjust in real time. If an exit ticket shows most students didn’t grasp a concept, a quick reteach the next day can prevent gaps from growing.
      • Group students for targeted support. Small groups during core instruction can help address specific skill gaps without taking students away from grade-level learning.

      When core instruction is strong and built around what students actually need, intervention becomes more about fine-tuning rather than catching up from major gaps.

      An MTSS framework: The right help at the right time

      When assessment data shows that a student needs extra support, targeted intervention helps prevent small struggles from turning into bigger ones. A Multi-Tiered System of Supports (MTSS) can ensure that interventions are structured, data-driven, and matched to student needs.

      • Intervention blocks and small groups: Some classrooms use dedicated intervention blocks to provide students extra support without missing core instruction. Others incorporate targeted small-group instruction during the literacy block. Either way, intervention works best when it’s built into the schedule, not squeezed in as an afterthought.
      • Progress monitoring: Once students enter intervention, regular check-ins track their progress and allow you to make adjustments as needed without waiting for the next big assessment.

      Small shifts, big impact

      For students who are on track or need more challenge, personalized learning tools—such as adaptive reading programs—can provide meaningful independent practice. High-quality programs adjust automatically based on student performance, so each student gets exactly the right level of support or enrichment without adding extra prep for you.

      In other words, teaching literacy well isn’t about working more—it’s about working strategically. By using assessments to inform your instruction, strengthening core teaching, and providing structured support or intervention when needed, you can position every student for success, no matter where they start.

      More to explore

      Implementing evidence-based instruction: 5 essential tips

      Implementing evidence-based instruction: 5 essential tips

      To view this protected page, enter the password below:



      What my wedding taught me about choosing curriculum

      A teacher leans over a group of elementary students who are working together at a classroom table under a "CKLA Skills" sign, guiding them through successful CKLA implementation.

      Before my wedding over 20 years ago, my mom offered me a bit of advice: Choose a wedding photographer that you like. She didn’t mean one who’d win a Pulitzer for her work covering our special day. What she did mean was this: Make sure you like their personality, because you will spend a lot of time with them on your wedding day—maybe even more time than you’ll spend with your future spouse.

      Why am I talking about my wedding in a blog about education?

      Because choosing a curriculum company is like choosing a wedding photographer. You are not just purchasing a stack of books—you are starting a relationship with a company that will extend far beyond the initial purchase.

      Here’s why I think the Amplify team are the education equivalent of ideal wedding photographers.

      When our team decided to pilot Core Knowledge Language Arts (CKLA) 3rd Edition as our reading and writing curriculum, I soon began working with the Amplify CKLA pilot team because I knew our classroom teachers needed to be trained quickly. I created a timeline, outlined action steps, and noted questions about the process. I was confident in the product and had a sense of what needed to happen, but it felt like a lot.

      At our first meeting, the pilot team presented a detailed brochure. What a comfort it was to read, “Your district’s Amplify CKLA pilot specialist will guide you through every step of the pilot support process.”

      Sure enough, Amplify’s live in-person CKLA training was invaluable. The teachers got so excited about the new product that they literally cheered.

      Because of our complex pilot schedule, I wanted to make sure our primary students weren’t leaving the year with gaps in their learning. The CKLA pilot team worked closely with me to create a unique unit that would leave no holes in student learning.

      After six weeks of piloting the product, a team of experienced CKLA pilot team coaches visited all our pilot classrooms. They affirmed the teachers in their work toward CKLA implementation. They highlighted strengths in classrooms and celebrated the use of the product in our district. The meeting after school was joyful.

      The CKLA pilot team also gave our teachers a crucial tip: Because you can’t memorize the lesson, it’s ok to teach with the manual in your hand. Teachers still do this, and we continue to compliment them if we see it during walk-throughs.

      The online pilot tool kit provided all of the other resources we might need. This included a Q&A section in which teachers could enter questions as they came up, and receive a response from the support team quickly. I breathed easier during our pilot knowing that CKLA was caring for us.

      After our school board officially adopted CKLA 3rd Edition, we transitioned from the CKLA pilot team to the Onboarding Support and Customer Success team. Leaving the pilot team felt like losing a friend, but I trusted Amplify and knew the new team would be just as strong.

      The brochure for the development plan confirmed that we would remain in good hands. It read: “This custom professional development package is designed to support teachers, schools, and district leaders in helping teachers feel confident using CKLA in their classrooms. Our professional development opportunities go far beyond initial product training and take participants through different stages of learning.”

      At our Launch training in August, teachers learned the core features, rationale, and Science of Reading research, and had time to dive into the CKLA materials. At the Strengthen trainings in October and March, teachers learned about additional tools to deepen their knowledge, planning, and use of the materials. At the Coach sessions, an Amplify coach visited every school, which included meeting with teachers during planning time, visiting classrooms and offering supportive feedback, and modeling lessons.

      After each training session, a CKLA team met with me to discuss the success of the training and talk about the feedback from teachers and my next steps to support them in their implementation. Throughout the process, my goal was to help teachers feel successful and confident using this new tool, and Amplify supported me every step of the way.

      In addition to the responsive customer service, Amplify also offers plenty of online tools. The PD Library is continually adding resources, while Amplify podcasts highlight the latest research and insights on language comprehension, reading comprehension, and so much more. Amplify also just added a series of instructional routine modeling videos that quickly demonstrate the best practices found in CKLA. The support systems are varied and always developing, yet never overwhelming.

      If you’re in the market for a new reading curriculum, take my mom’s advice: Pick the one you love spending time with. Trust me—Amplify is the curriculum you’ll want by your side all day, every day.

      Families and caregivers, welcome to Amplify Desmos Math California
      6–12!

      Welcome to the Amplify Desmos Math California Grade 6–12 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey.

      In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find 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.

      Ilustración de una persona en silla de ruedas con un casco que dirige la colocación de una pieza triangular, rodeada de símbolos matemáticos.

      Caregiver Unit Resources

      For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources will be available in both English and Spanish, as well as a glossary of key terms in both languages.

      • Coming soon!
      • Coming soon!

      Unit refresh videos

      Unit 1

      • Sub-Unit 1a – Calculating the Area of Parallelograms
      • Sub-Unit 1b – Calculating the Area of Triangles
      • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

      Unit 2

      Unit 3

      Unit 4

      • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
      • Sub-Unit 2 – Dividing Fractions Using Common Denominators
      • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

      Unit 5

      • Sub-Unit 1 – Adding and Subtracting Decimals
      • Sub-Unit 2 – Multiplying Decimals Using Area Models
      • Sub-Unit 3 – Dividing Decimals Using Fractions
      • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

      Unit 6

      • Sub-Unit 1 – Writing and Solving Equations
      • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
      • Sub-Unit 3 – Evaluating Expressions With Exponents
      • Sub-Unit 4 – Interpreting Graphs

      Unit 7

      • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
      • Sub-Unit 2 – Identifying Solutions to Inequalities
      • Sub-Unit 3 – Plotting Points on the Coordinate Plane

      Unit 8

      • Sub-Unit 1 – Creating Dot Plots
      • Sub-Unit 2 – Calculating Mean Absolute Deviation
      • Sub-Unit 3 – Interpreting Box Plots
      • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
      • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

      Unit 1

      • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
      • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

      Unit 2

      • Sub-Unit 1 – Determining the Constant of Proportionality
      • Sub-Unit 2 – Writing Equations for Proportional Relationships
      • Sub-Unit 3 – Comparing Proportional Relationships
      • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

      Unit 3

      • Sub-Unit 1 – Determining the Circumference of a Circle
      • Sub-Unit 2 – Calculating Areas of Complex Shapes

      Unit 4

      Unit 5

      • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
      • Sub-Unit 2 – Dividing Integers
      • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

      Unit 6

      • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
      • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
      • Sub-Unit 3 – Solving Inequalities

      Unit 7

      • Sub-Unit 1 – Determining Unknown Angle Measures
      • Sub-Unit 2 – Determining If Three Segments Form a Triangle
      • Sub-Unit 3 – Calculating the Surface Area of Prisms

      Unit 8

      • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
      • Sub-Unit 2 – Predicting Population Using Sample Data

      Unit 1

      • Sub-Unit 1 – Determining Coordinates After a Rotation
      • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
      • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

      Unit 2

      • Sub-Unit 1 – Performing Dilations on a Square Grid
      • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
      • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

      Unit 3

      • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
      • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
      • Sub-Unit 3 – Calculating Slope Given Two Points

      Unit 4

      • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
      • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

      Unit 5

      • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
      • Sub-Unit 2 – Comparing Properties of Linear Functions
      • Sub-Unit 3 – Calculating Volumes of Cylinders

      Unit 6

      • Sub-Unit 1 – Interpreting Points on a Scatter Plot
      • Sub-Unit 2 – Using Lines of Fit to Make Predictions
      • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

      Unit 7

      Unit 8

      • Sub-Unit 1 – Approximating Square Roots
      • Sub-Unit 2 – Calculating Unknown Side Lengths
      • Sub-Unit 3 – Identifying Rational and Irrational Numbers

      Unit 1

      • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
      • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

      Unit 2

      • Sub-Unit 1 – Solving Linear Equations
      • Sub-Unit 2 – Solving Multi-Variable Linear Equations
      • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

      Unit 3

      • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
      • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
      • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

      Unit 4

      • Sub-Unit 1 – Evaluating Function Notation
      • Sub-Unit 2 – Writing Domain and Range with Inequalities
      • Sub-Unit 3 – Graphing Piecewise-Defined Functions
      • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

      Unit 5

      • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
      • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

      Unit 6

      • Sub-Unit 1 – Writing Exponential Functions from Graphs
      • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
      • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
      • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

      Unit 7

      • Sub-Unit 1 – Describing Key Features of Parabolas
      • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
      • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

      Unit 8

      • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
      • Sub-Unit 2 – Solving Quadratic Equations by Graphing
      • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
      • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

      Unit 1

      • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
      • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

      Unit 2

      • Sub-Unit 1 – Solving Linear Equations
      • Sub-Unit 2 – Solving Multi-Variable Linear Equations
      • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

      Unit 3

      • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
      • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities
      • Sub-Unit 3 – Writing Equations for Parallel and Perpendicular Lines

      Unit 4

      • Sub-Unit 1 – Evaluating Function Notation
      • Sub-Unit 2 – Writing Domain and Range with Inequalities
      • Sub-Unit 3 – Writing Recursive Definitions in Function Notation

      Unit 5

      • Sub-Unit 1 – Writing Exponential Functions from Graphs
      • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
      • Sub-Unit 3 – Writing Exponential Functions Involving Compound Interest

      Unit 6

      • Sub-Unit 1 – Drawing Perpendicular Bisectors
      • Sub-Unit 2 – Determining Coordinates After a Rotation
      • Sub-Unit 3 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent

      Unit 7

      • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
      • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
      • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

      Access Amplify Desmos Math California at home.

      Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

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

      Once logged in, you and your student can view work by opening previous assignments.

      Learn how to navigate the student home page.

      Support math learning at home.

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

      Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

      Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

      Emphasize that getting stuck is part of the process and a necessary part of learning. Many students (and adults!) fear making mistakes, but research shows that making mistakes helps your brain grow. When your student gets stuck on a problem, encourage them to try different strategies, even if they think they can’t do it or will get it wrong.

      We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

      Get more information.

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

      Texas Public Reviewers: Welcome to Amplify Desmos Math Texas!

      Thank you for taking the time to review Amplify Desmos Math Texas K–5.  This site provides the login steps and tools you need to review the program.

      Watch this short introductory video to help you navigate the Amplify Desmos Math Texas K-5 platform.  Then, use the login credentials below to start your online review.

      The helpful Navigation Tool-Title List with live links and other documents to guide your review can be found below as well.

      Three people engage in a painting project indoors, with one holding a fraction card and others painting the walls and floor. A tree and math symbols are in the background.

      Login credentials:

      Login page for Amplify with options to log in via Google, Clever, Amplify, QR code, or District SSO. A "Help" button and illustrated design elements are also visible.

      Step 1

      Go to learning.amplify.com and select Login with Amplify.

      Enter the username and password:

      Username: t.txmathk5public@tryamplify.net
      Password: AmplifyNumber1

      Step 2

      Select Amplify Desmos Math in Your Programs.

      Educational dashboard showing a welcome message to "Educator K-5 Review," highlighting "Amplify Desmos Math" as a recommended program, with a paper airplane and quick links section.

      Step 3

      Once you’re in the program, select a grade level to explore the digital curriculum.

      Navigation video

      View this short introductory video to help you navigate the Amplify Desmos Math Texas K-5 platform.

      Navigation Tool – Title Lists

      Tip:  Be sure you’re logged into the Amplify Desmos Math Texas platform (steps above) before clicking on the links in these documents.

      New content – Quality rubric 1.1a

      If approved, this proposed content will be added as a Paper Resource on the Course-level tile on Amplify Desmos Math Texas and on the Caregiver Hub as an additional home resource.

      New content – Quality rubric 2.1c

      If approved, these two pages will be added to the front matter of the Assessment Resource teacher ancillary.

      Revised Content – Kindergarten

      Revised Content – Grade 1

      Revised Content – Grade 2

      Revised Content – Grade 3

      New Content – Grade 4

      New Content – Grade 5

      Citations for Upper Limit TEKS in K-5 Mathematics

      Proposed changes to address the upper limit TEKS breakouts can be found at the link above. The notes for each citation indicate where the new content will exist, once approved.

      Components List

      View the full list of components for Amplify Desmos Math Texas K-5.

      Center Resources and Kits

      Access a description and ISBN’s for the K-5 Center Resources and Kits.

      Manipulative Kits List

      View the full list of contents for each K-5 Amplify Desmos Math Texas Manipulative Kit.

      Welcome to Amplify Desmos Math!

      Your Amplify Desmos Math Experience Kit includes teacher and student materials for one sub-unit of instruction to try in your classroom. Click the orange button below to access the digital lessons for your grade.

      A laptop displays a math problem on its screen with illustrations of fish and a clock, alongside two math activity books titled "Amplify Desmos Math" for grades 3 and 5.

      About the program

      Our structured approach to problem-based learning systematically builds on students’ curiosity to develop lasting grade-level understanding.

      Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.

      Educational materials featuring various graphs and applications, including rocket motion and quadratic functions, displayed on Desmos and paper.
      Interactive digital math lesson interface with colorful graphics showing parabola exploration and plotting tools on screen, enhanced by the New York math curriculum.

      Structured approach to problem-based learning

      • Differentiation and personalized practice
      • Easy-to-follow instructional guidance
      • Robust assessments and reports
      • Spanish student materials
      A classroom dashboard displays student names and their progress in activities, with checkmarks indicating completed tasks and circles showing ongoing or incomplete tasks.

      Math that motivates

      • Powerful teacher-facilitation supports and tools
      • Students talking and building from each other’s ideas 
      • Every lesson has fully compatible print and digital materials for a collaborative classroom
      Illustration of an Amplify Desmos math learning tool on a student screen showing abacus representations for the sums 8+7, 7+4+5, 3+8+4

      Student thinking is made evident

      • Curiosity-driven lessons that motivate students with interesting problems they are eager to solve
      • Explicit guidance for teachers on what to look for and how to respond
      • Technology that provides Responsive Feedback and is designed to reveal mathematical thinking

      Experience Kit digital lessons

      Use the grade-specific links below to explore our interactive digital lessons. Learn more about assigning a lesson to your class using a single-session code.

      In addition to the sample lessons below, you can view the Experience Kit brochure, which includes helpful print and digital navigation tips.

      Grades K–5 brochure

      Grades 6–A1 brochure

      A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.
      A girl in a red and pink uniform kicks a soccer ball while two players in yellow attempt to block, showcasing teamwork akin to problem-solving strategies in Amplify Desmos Math. Another player runs in the background.
      Kindergarten, Unit 6: Numbers 0–20

      Sub-Unit 1: Counting Teen Numbers

      A crowd gathers outdoors near a path lined with blueberry displays; musicians play on a stage, and people interact as a woman and child stand in the foreground holding drinks.
      Grade 1, Unit 5: Adding Within 100

      Sub-Unit 1: Adding Without Making a Ten

      A family stands by a mailbox labeled "Three Hundred Two." In New York, a child holds a letter as an adult pats their head. Another adult, with a desmos math guide in hand, looks on proudly.
      Grade 2, Unit 5: Numbers to 1,000

      Sub-Unit 1: The Value of Three Digits

      In an outdoor setting, a girl with glasses attentively washes a chicken in soapy water, surrounded by hills, trees, and buildings. Soap bubbles and leaves float in the air as she ponders New York math challenges amidst this tranquil scene.
      Grade 3, Unit 6: Measuring Length, Time, Liquid Volume, and Weight

      Sub-Unit 1: Measurement Data on Line Plots

      In "Pat's Lei Shop," amidst the floral artistry, one can almost sense the precision akin to solving a New York math problem, with each lei meticulously assembled on a table with scissors, thread, and flowers.
      Grade 4, Unit 6: Multiplying and Dividing Multi-Digit Numbers

      Sub-Unit 1: Multi-Digit Multiplication

      At a bustling puzzle stand, a person interviews a young individual holding a puzzle box. Various puzzles, including "Autumn Day," catch the eye. A sign proudly boasts, "Jonathan & Omar's Pleasing Puzzles!"—where New York math enthusiasts find joy in every challenge.
      Grade 5, Unit 5: Place Value Patterns and Decimal Operations

      Sub-Unit 1: Numbers to Thousandths

      Three raccoons on a seesaw balance with a 21-pound weight in a city park setting under a clear sky.
      Grade 6, Unit 6: Expressions and Equations

      Sub-Unit 1: Solving Equations

      A sheep stands on grass near a number line, with an orange point at zero; a festive sheep with a hat and party blower appears in a thought bubble.
      Grade 7, Unit 6: Expressions, Equations, and Inequalities

      Sub-Unit 3: Inequalities

      Four colorful robots stand in front of a whiteboard with a graph in a classroom setting.
      Grade 8, Unit 6: Associations in Data

      Sub-Unit 2: Analyzing Numerical Data

      A laptop screen displays a math activity with a question about a rocket's height. Icons of a rocket and mathematical functions are on the side.
      Algebra 1, Unit 7: Quadratic Functions

      Sub-Unit 1: Introduction to Quadratic Functions

      Looking for help?

      Support is always within reach. Our team is dedicated to supporting you throughout your review and can be reached at any time by emailing or calling us directly.

      • Live chat: Click the orange icon while logged in to get immediate help.
      • Phone: Call our toll-free number: (800) 823-1969.
      • Email: Send an email to help@amplify.com. In the message body, please include your name and question. Provide as much detail as possible, so we can more quickly help you find a solution.
      A laptop screen displays a curriculum dashboard with a list of core units and colorful thumbnails for a sixth-grade ELA program.

      Ready to learn more?

      Sign up to be among the first to receive updates about Amplify Desmos Math.

      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!

      Free, high-quality lessons without the scavenger hunt.

      Discover more than a thousand free lessons bursting with interactivity—across K–12 math, literacy, and science.

      Math: Grades K–5
      A cartoon purple frog sits on a green hill with a purple bug on the left and a yellow crown on the right, all on a bright green background.
      Math: Grades 9–12
      A quadratic equation, ax² + bx + c, appears above a blue and purple table with an arrow pointing from the equation to the table.
      Science: Grades 4–8
      Two low-poly, fictional creatures face off: a green, bird-like animal with spikes and a red, bear-like beast with sharp teeth and orange markings—perfect for sparking imagination using free teaching resources.
      Literacy: Grades K–5
      A card with the letter u0022yu0022 labeled as in u0022mythu0022 next to a speech bubble card showing the phonetic symbol /e/.
      Math: Desmos classics Grades 6–8
      Three raccoons balance on one side of a seesaw, while a 21 lb weight balances the other side on a grassy surface.
      Polypad manipulatives:
      A square divided into seven colorful geometric shapes: two triangles, two parallelograms, one square, and two smaller triangles in green, red, purple, orange, teal, and magenta.

      More than 300,000 teachers turn to Amplify Classroom for captivating lessons and virtual manipulatives.

      Grade 1 Math

      Leaping Lily Pads

      Grade 6 Science

      Behaviors and Structures Support Survival

      Kindergarten Literacy

      The Boy and the Violin

      Grades K–12

      Polypad manipulatives

      Algebra 1

      Shelley the Snail

      Get your classroom buzzing with our powerful teaching tools.

      Tailor lessons to fit your needs.

      Share and celebrate student ideas.

      Take snapshots of classwork to foster discussion and highlight student thinking.

      Gain insights into student thinking.

      Monitor your students’ ideas in real time so you can adapt instruction on the fly.

      Control the flow of instruction.

      Pace students to specific parts of the lesson, or pause to explore concepts more deeply.

      What are people saying?

      A purple octopus with eight tentacles, each holding a clam, is shown above a row of number buttons labeled 5, 6, 7, 8, and 9. The number 8 is highlighted.

      Martin Joyce

      @martinsean

      Love this #AmplifyClassroom kindergarten activity! First the octopus checks sums of 8 then the sea urchin comes out. Great job. I’ve been wary about making my kids not hate math (no drill n kill) and they’re asking can we do math on the computer before bed. Yes! Cc @ddmeyer

      A user interface with four circular icons—Anonymize, Pace, Sync to Me, and Paused—above a dropdown menu labeled "Sort by Time Entered," designed as a free teaching platform for easy access to lesson plans.

      Traci Jackson

      @traciteacher

      After an audible groan b/c the activity was paused, Ss made sense of ordered pairs through a purposeful #AmplifyClassroom experience! This S pair wrote without any prompting. Great collaboration and learning in 5th grade today!

      Mark Labuda

      @mrmlabuda

      Hands down the best virtual manipulatives I’ve ever come across.

      Screenshot of the Facebook group "Amplify Classroom Educators (formerly Desmos Educators)" with a join group button, highlighting educational images, group details, and access to free teaching resources.

      Join our community

      More than 30,000 educators share advice, lessons, wins, and more in our Amplify Classroom Educators Group. Be a part of the conversation!

      Interested in learning about the benefits of being an Amplify customer?

      Amplify Classroom FAQ

      Amplify Classroom (formerly Desmos Classroom) is a free K–12 teaching platform that gives educators access to a library of high-quality, interactive lessons in math, literacy, and science. The platform is built with tools that promote student engagement and collaboration, while giving teachers real-time visibility into student thinking.

      Amplify Classroom supports K–12 educators across math, science, and literacy. The platform offers more than 1,000 free interactive lessons, with content designed to build deeper understanding and student engagement at every grade level.

      No. Teachers can create a free Amplify Classroom account and immediately access teaching tools and hundreds of lessons without a district license or subscription. Paid programs such as Amplify Desmos Math and Amplify Core Knowledge Language Arts (CKLA) also run on Amplify Classroom, and you can access that content through the same platform if your school or district subscribes to these programs.

      Some schools and districts require that specific URLs be added to their allowlist before teachers can access Amplify Classroom. A full list of permitted domains can be found at amplify.com/allowlist. Teachers should share this information with their school or district IT team.

      Amplify Classroom offers built-in tools that promote real-time teacher visibility and student engagement. Key features include:

      • Real-time student insights: See student responses and thinking as they happen, all in one easy-to-use teacher dashboard.
      • Teacher pacing controls: Pause a lesson or advance all student screens simultaneously.
      • Select and sequence student work: Highlight student ideas live by selecting and sharing student work during a discussion.
      • Anonymous student sharing: Display student work to the class without showing students’ real names.
      • Lesson customization: Copy and edit pre-built K–12 lessons or build your own from scratch using our drag-and-drop lesson builder.
      • Class management tools: Create and manage multiple classes, add co-teachers, and organize rosters.

      Yes. Teachers can customize our K–12 lessons or even create lessons from scratch to meet their students’ unique needs. This includes adding things like pre-made screens, images, multiple-choice questions, graphs, and more with our drag-and-drop lesson builder.

      Yes. Many teachers use Amplify Classroom to supplement their existing curriculum. The platform can be integrated into any part of a teacher’s day, with a wide library of lessons and tools for core or supplemental instruction.

      For schools seeking a full core curriculum, Amplify also offers paid programs including Amplify Desmos Math and Amplify CKLA, both fully integrated into the platform.

      Yes. Amplify Classroom supports signing in with Google. Teachers can import class rosters directly from Google Classroom to streamline setup. For Amplify customers, Clever integration is available for school and district rostering. You can learn more about our integrations here.

      Amplify Classroom is built to facilitate compliance with applicable student data privacy laws, including FERPA, COPPA and other applicable laws related to the collection and use of student data. To provide Amplify Classroom to students, Amplify receives Student Data as a “school official” in accordance with Section 99.31 of FERPA and COPPA guidance, and operates at the direction of the school. You can read more about this in our Acceptable Use Policy and Customer Privacy Policy.

      Welcome, Central Kitsap, to Amplify Desmos Math!

      Amplify Desmos Math K-5 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 motivates 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.  Feel free to explore our grade-level ancillary samplers to learn more about assessment and reporting, intervention, and differentiation:

      Grade K Ancillary Sampler

      Grade 1 Ancillary Sampler

      Grade 2 Ancillary Sampler

      Grade 3 Ancillary Sampler

      Grade 4 Ancillary Sampler

      Grade 5 Ancillary Sampler

      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.

      Assessment

      mCLASS® Assessments, along with daily formative checks, measure not only what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core and intervention resources. Visit our mClass Math site to learn more.

      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 pair problems students are eager to solve with clear instructional moves for teachers. With low-floor, high-ceiling tasks every student can actively participate and be a part of the math community. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction.

      A math lesson screen shows a toy sinking 5 meters into a pool. A textbox asks how many centimeters that is, with space for an answer and a "Try again" button. An avatar explains the question, using Desmos math tools to amplify understanding.

      Differentiation

      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 and offer personalized differentiation. Visit our Boost Math site to learn more. 

      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.

      Embedded 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.

      Multilingual Learners

      To support multilingual/English learners, Amplify Desmos Math incorporates research-based Math Language Routines (MLRs) by providing language modality strategies like sentence frames where appropriate, both in the teacher language provided for each task and in the differentiation support section found throughout the program. For further information on math language development, please see pg. 82 of the Amplify Desmos Math Program Guide.

      A male teacher in a red shirt explaining a lesson to a focused young female student in a classroom. other students are in the background.

      Review Resources

      To support your review of Amplify Desmos Math here are links to important K-5 review resources:

      Two women in an office setting are smiling while looking at a tablet. Various educational icons surround the image.

      K-5 sample materials

      Click the links in the drop-down sections below to explore sample materials from each grade.  To see sample student responses, please click on the Teacher Edition pages and scroll to “Sample Student Work” (first one is about 30 pages in) or click on Intervention and Extension resources.   

      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.

      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.
      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.

      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.

      Educational activity screen displaying a blue backpack with icons, dot groups on the left, and a grid background. Prompt reads, "Look inside the backpack. Then choose the group with the same number of dots." A great tool to amplify Desmos math learning in line with New York math standards.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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 math exercise, amplified by Desmos Math, showcases a story problem about adding kalo plants with three illustrations and a filled-out number sentence 3 + 4 = 7. A "Check" button is present. This tool aligns perfectly with New York math standards.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.
      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 1: Intervention and Extension Resources" depicting a large, blocky number one and a yellow-themed design. Ideal for enhancing New York math curriculum.
      Intervention and Extension Resources

      Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

      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.

      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.

      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.

      Activity screen displaying a task to estimate the number of animals in an aquarium, featuring a bar chart for goldfish, frogs, and shrimp. Utilizing Desmos math tools, an illustration of an aquarium with various animals is also included to amplify learning.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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!

      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.

      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.

      Educational software displays a challenge to determine the area of an unpainted wall. The wall features a door and window with given dimensions, and a mouse pointer hovers near the question, amplifying the student's engagement.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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.

      Educational screen showing an interactive activity from Amplify Desmos Math where a user drags a point to cut a log into quarters. The progress is 2 out of 10.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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.

      A digital activity prompt showing a scenic landscape with bamboo shoots and a panda. Using Desmos math tools, the task is to estimate the length where the third bamboo shoot should be placed for the panda to reach a leaf. This exercise is designed to amplify your understanding of spatial reasoning.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      Contact Us

      If you have any questions throughout your review process or need additional samples, please don’t hesitate to contact:

      Alicia O’Neil

      Account Executive

      425-890-6103

      aoneil@amplify.com

      Request additional samples

      Ready to learn more? Connect with an Amplify Desmos Math expert to request additional program samples.

      How asset-based assessments can revolutionize math instruction

      A student writes in a notebook at a desk with a laptop, as her awesome teacher stands beside her. Both appear engaged in conversation about her academic struggles during ELA class.

      Many of today’s math classrooms are facing a perfect storm: declining scores, widening learning gaps, and growing pressure on teachers to deliver solutions. According to the National Assessment of Educational Progress, students are experiencing the steepest drop in math scores since 1990. EdWeek Research Center reports that a persistent gap between educational theory and day-to-day practice is putting added stress on teachers, often leaving them to navigate complex pedagogical demands without adequate support.

      So how can we provide both students and teachers with the tools they need to succeed? How can math assessments and math intervention programs provide real help and drive student progress—without piling on more work?

      One promising answer lies in rethinking how we assess what students know.

      Rethinking the role of math assessments

      Traditional assessments tend to focus on correctness alone. Did the student get it right or wrong? How many points did they earn?

      But this binary approach misses a lot. A skipped question could mean a tech hiccup or a moment of confusion—not a lack of understanding. A wrong answer might come at the end of otherwise solid problem-solving.

      An asset-based assessment approach shifts the focus from mistakes to meaning. It looks beyond outcomes to understanding how students think—their strategies, reasoning, and partial understandings. And when teachers can see that thinking, they gain far more useful data to guide instruction and inform their math intervention program.

      This approach doesn’t lower expectations—it raises the quality of insight and gives struggling students (and really all students) a better shot at meeting standards with instruction that’s tailored to their actual needs.

      Honoring students’ thinking and teachers’ time

      Every student thinks differently. Asset-based assessments help reveal individual thinking, often through short-answer or open-response formats that ask students to explain how they solved a problem.

      But this shift isn’t just for students. Teachers can benefit enormously when assessments are designed to surface trends in student thinking. If 30% of a class misinterprets the same concept, that result reveals a teaching opportunity. Rather than reteach an entire unit, teachers can adjust with focused, targeted support. That means less time spent diagnosing, and more time actually helping.

      And when technology in the math classroom makes this data easy to collect, analyze, and act on, teachers get a level of consistent insight that is not only helpful, but actionable.

      From student performance to student performance + thinking

      The ultimate goal of asset-based assessments isn’t to replace performance data—it’s to enhance it. Knowing how a student got to an answer (or why they didn’t) can make all the difference in determining what to do next.

      Here’s an example involving a division problem:

      A wooden table with four chairs is shown. Text explains each table seats 4, the art class has 33 students, and asks how many tables are needed—an example of using technology in the math classroom to boost student engagement.

      When real students were given this problem, they responded with answers like:

      • 33/4 = 8.25, round up to 9 so all kids can sit!
      • 33/4 = 8 with a remainder of 1. She needs 8 tables.
      • 8 x 4 = 32, but 9 x 4 = 36. I don’t know if we can leave one student sitting lonely on the floor, though.

      Traditional grading might stop at “correct” or “incorrect” for these responses. But when students are asked to explain their thinking, teachers can uncover a range of reasoning—from successful multiplication strategies to misunderstandings about remainders.

      These glimpses into student thinking aren’t just informative—they’re transformative. They can illuminate the performance of students in a deeper, more actionable way. They can help teachers take smarter next steps, and they can help students feel understood, capable, and more like “math people” every day.

      More to explore

      Inspiring the next generation of South Carolina scientists, engineers, and curious citizens

      Amplify Science is an engaging new core curriculum designed for three-dimensional, phenomena-based learning.

      Amplify Science was developed by the science education experts at UC Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.

      Collage showing students engaged in classroom science activities and two scientific illustrations: a cheetah in foliage and a diagram of clouds and raindrops above a hill.

      Our 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.

      Explore the Digital Teacher’s Guide

      When you’re ready to review, click the orange button below and use your provided login credentials to access the Amplify Science Digital Teacher’s Guide. If you need login credentials, contact Jeff Rutter, jrutter@amplify.com.

      Resources to support your review

      Scope and sequence

      GRADE
      UNIT
      Kindergarten
      • Needs of Plants and Animals
      • Pushes and Pulls
      • Sunlight and Water
      Grade 1 
      • Animal and Plant Defenses
      • Light and Sound
      • Spinning Earth
      Grade 2 
      • Plant and Animal Relationships
      • Properties of Materials
      • Changing Landforms
      Grade 3 
      • Balancing Forces
      • Inheritance and Traits
      • Environments and Survival
      • Weather and Climate
      Grade 4 
      • Energy Conversions
      • Vision and Light
      • Earth’s Features
      • Waves, Energy, and Information
      Grade 5 
      • Patterns of Earth and Sky
      • Modeling Matter
      • The Earth System
      • Ecosystem Restoration
      Grade
      Units

      Grade 6

      • Launch: Microbiome
      • Metabolism
      • Metabolism Engineering Internship
      • Thermal Energy
      • Plate Motion
      • Plate Motion Engineering Internship
      • Rock Transformations
      • Weather Patterns
      • Ocean, Atmosphere, and Climate

      Grade 7

      • Launch: Harnessing Human Energy
      • Phase Change
      • Phase Change Engineering Internship
      • Magnetic Fields
      • Earth’s Changing Climate
      • Earth’s Changing Climate Engineering Internship
      • Chemical Reactions
      • Populations and Resources
      • Matter and Energy in Ecosystems

      Grade 8

      • Launch: Geology on Mars
      • Earth, Moon, and Sun
      • Light Waves
      • Force and Motion
      • Force and Motion Engineering Internship
      • Traits and Reproduction
      • Natural Selection
      • Natural Selection Engineering Internship
      • Evolutionary History

      South Carolina College- and Career-Ready Science Standards 2021

      Amplify Science was designed from the ground up to meet the Next Generation Science Standards (NGSS), and the South Carolina College- and Career-Ready Science Standards 2021 are closely aligned to the NGSS at K-8. The guidance below is meant to provide support for integrating additional companion activities that support full coverage of the South Carolina College- and Career-Ready Science Standards 2021.

      Organized by grade level, each section below will outline:

      • Additional activities that support 100% alignment to the  South Carolina College- and Career-Ready Science Standards 2021; 
      • The standard being addressed with the activities; 
      • The recommended placement of the activities within a specific Amplify Science unit; and 
      • PDFs of any accompanying materials that are necessary to implement the activities.

      Standard: MS-PS1-4: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.
      Recommended placementThermal Energy unit, Lesson 4.4, addition to Activity 3
      Materials“Liquid Oxygen”
      By reading the article “Liquid Oxygen,” which describes how the relationship between attraction and kinetic energy determines when a substance changes phase, students extend their understanding of the possible effects of adding or removing thermal energy to include changes in state (phase). Oxygen is one of the most common elements in the world, but most people are only familiar with oxygen in the gas phase. Because oxygen molecules are only weakly attracted to one another, condensing oxygen is difficult. This article introduces students to molecular attraction and discusses its role in phase change, including how it can be used to turn oxygen from a gas to a liquid.
      Instructions:
      Download PDFs of the “Liquid Oxygen” and distribute it to students. Before they begin reading, remind students of the Active Reading Guidelines. 

      Standard: MS-PS4-2: Develop and use a model to describe that waves are reflected, absorbed, or transmitted through various materials.
      Recommended placementWeather Patterns unit, Lesson 4.4, addition to Activity 3
      Materials“Harvesting Sunlight”, “Why No One in Space Can Hear You Scream” and “Making Waves at Swim Practice”
      After investigating weather patterns, which includes a focus of the effects of energy from sunlight, students extend their learning about light by reading three articles about light and other waves.
      “Harvesting Sunlight:” Students read this article to learn about the types of light from the sun that plants use for photosynthesis. The article describes how the sun emits all types of light, but plants can only use certain types of visible light for photosynthesis, mostly red and blue light. Plants also absorb other types of light, and these types of light affect plants in different ways. Students use this information to gather evidence that there are different types of light that can affect a material in different ways.
      “Why No One in Space Can Hear You Scream:” Students read this article to learn about how waves are transmitted. Explosions that would be deafening on Earth are silent in space. This is because sound is produced by sound waves and, unlike light waves, sound waves need matter to travel through. Reading about this phenomenon helps students understand the similarities and differences between mechanical and electromagnetic waves.
      “Making Waves at Swim Practice:” A practice for the school swim team provides an everyday context for discussing light waves and sound waves in this engaging article. First, the article explores sound waves traveling through different materials–the air, the water of the pool, and even a metal poolside bench. Students discover that sound waves travel at different speeds in different materials. The later part of the article discusses light waves, which also travel at different speeds in different materials. As light waves move from one material to another, they change speed and bend. This bending of light waves is called refraction, and it explains why objects that are partly in the water and partly out of the water (such as the legs of a person sitting on the side of a pool) appear ripply and bent.
      Instructions:
      Plan one class period for each article. Download PDFs of the  “Harvesting Sunlight,” “Why No One in Space Can Hear You Scream,” and “Making Waves at Swim Practice” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

      Standard: MS-PS2-3: Ask questions about data to determine the factors that affect the strength of electric and magnetic forces. MS-PS2-5: Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.
      Recommended placementHarnessing Human Energy unit, Lesson 3.4, after Activity 1
      Materials“Earth’s Geomagnetism” and “Painting with Static Electricity”
      After concluding their investigations of energy transfers and conversions, students read two articles that introduce the topic of forces that act at a distance.
      “Earth’s Geomagnetism:” What makes a compass needle point north, no matter what? This article introduces students to Earth’s geomagnetic field and the field lines scientists use to show its direction.
      “Painting with Static Electricity:” This article gives students the opportunity to learn about electrostatic fields and forces in the context of spray painting without making a mess. Electrostatic painting systems use electrostatics to draw spray paint toward the object being painted, and nowhere else. Painters charge the object they are painting with a negative charge and the paint with a positive charge. The opposite charges are attracted to one another, causing the paint to move toward the object. This surprising use of electrostatics saves time and paint and keeps things tidy!
      Instructions
      Plan one class period for each article. Download PDFs of the “Earth’s Geomagnetism” and “Painting with Electricity” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

      What’s included

      Science articles
      The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

      Illustration of the indirect effects of overfishing on northern benguela jelly populations displayed on a laptop screen.

      Student Investigation Notebooks
      Available for every unit, the Student Investigation Notebooks provide space for students to:

      • Record data
      • Reflect on ideas from texts and investigations
      • Construct explanations and arguments

      Available with full-color article compilations for middle school units.

      Collection of educational books from 'amplify science' on topics including ocean atmosphere, matter and energy ecosystems, and insect interactions, displayed in various angles.

      Digital student experience
      Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

      • Conduct hands-on investigations
      • Engage in active reading and writing activities
      • Participate in discussions
      • Record observations
      • Craft end-of-unit scientific arguments
      A digital illustration showcasing a laptop and a tablet displaying complex data analysis software interfaces with graphs and heatmaps.

      Teacher’s Guides
      Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

      • Classroom Slides
      • Detailed lesson plans
      • Unit and chapter overview documentation
      • Differentiation strategies
      • Standards alignments
      • In-context professional development
      A laptop displaying a website about Mars exploration with a brochure next to it. Both screens show Mars-related images.

      Hands-on materials kits
      Hands-on learning is at the heart of Amplify Science. Each unit kit contains:

      • Consumable and non-consumable hands-on materials
      • Print classroom display materials
      • Premium print materials for student use (sorting cards, maps, etc.)
      A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

      Remote and hybrid learning supports

      A person sitting at a desk using a laptop, with a bookshelf containing books, a fish tank, and a soccer ball nearby.

      Amplify has launched a new remote learning solution called Amplify Science@Home. Intended to make extended remote learning and hybrid learning easier, Amplify Science@Home includes two useful options for continuing instruction: @Home Videos and @Home Units. 

      Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home. These videos will be produced for all K–5 units, and for the first four units of each 6–8 grade level. Their release will be rolling, beginning in August.   

      Amplify Science@Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. @Home Units will be developed for all Amplify Science K–8 units. Each @Home unit includes:

      • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available.
      • Overviews to send home to families.

      Student materials are available in two formats:

      • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home.
      • Downloadable @Home Packets (PDF) for students without access to technology at home.

      Download the Remote and hybrid learning guide.

      Looking for help?

      Powerful (and free!) pedagogical support

      Amplify provides a unique kind of support you won’t find from other publishers. 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

      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 7 a.m. to 7 p.m. ET, 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:

      Contact us

      Contact your South Carolina team representatives:
      Jeff Rutter
      Field Manager
      jrutter@amplify.com
      (727) 512-8440

      Cathy McMillan
      Senior Account Executive
      cmcmillan@amplify.com
      (904) 465-9904

      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 orange bold letters with a period at the end against a white background.

      Back to school 2020–21 updates

      Back to school 2020 is coming! Click here for more information on all of the improvements and new features we’re adding to Amplify Science for the new school year.

      Program introduction

      Onboarding: what to expect

      Welcome to Amplify Science! To help you know what’s coming next, we created the following outline of the steps of the onboarding process. You can use it as a reference.

      Administrators receive launch email

      • Share the information with teachers
      • Submit the shipping survey sent to your email

      Log In

      • Go to learning.amplify.com
      • Click on Log in with Clever or Google 
      • Enter your FCPS credentials
      • Demo Account for full access to Amplify Curriculum without access to personalized class rosters:
        • Go to learning.amplify.com
        • Click on login with Amplify
        • Username: t.Fayette2020@tryamplify.net
        • Password:  AmplifyNumber1

      Ensure you have received all materials and components

      • Teachers have access to a series of “Unboxing your materials kit” videos. If you’re interested in watching those, click here.

      Check out the professional learning opportunities and/or access the Getting Started Resources below.

      If you need assistance, please see the help resources or reach out to your Educational Partnerships Manager or PD manager at caffleck@amplify.com, pworks@amplify.com with any questions.

      6–8 resources

      To ensure your first day using Amplify Science in the classroom is as seamless and smooth as possible, we recommend reviewing the following checklist before the first day of school.

      What’s coming to my school?

      Each unit of Amplify Science comes with a hands-on materials kit. Each hands-on materials kit arrives in one to three boxes and contains:

      • Consumable materials for five uses of 40 students
      • Non-consumable materials
      • Classroom wall materials
      • Premium print materials (card sorts, vocabulary rings, etc.).

      You can find complete materials lists for each unit in the following PDF. This information is also available in the digital Teacher’s Guide within the program.

      Onboarding videos

      Our team has created a series of short videos to help get you started with Amplify Science:

      What’s online?

      Planning strategies

      How to log in and navigate

      NGSS introduction

      Introduction to Classwork

      Planning guide

      As you prepare to plan for a unit, download our planning guide to help walk you through the most important resources to locate in either the print or digital Teacher’s Guide to help you plan.

      Additional resources

      Write better feedback for better math learning.

      Research suggests that Black and Latino students pay attention to what teachers say about their work in math class, and that teacher feedback can affect their learning, motivation, and sense of belonging. Learn how to give better feedback with AI.

      Two women smiling and looking at a computer screen in an office setting, surrounded by papers and educational materials.

      Overview

      With support from the Bill and Melinda Gates Foundation, Amplify researched the features of effective feedback for underrepresented minority students and used that research to create a generative AI tool that helps teachers give students feedback about math.

      This project resulted in the following work:

      • Two literature reviews about feedback in mathematics, especially for underrepresented minority students.
      • A prompt for a large language model (LLM) that would take in written feedback and offer feedback on the feedback, helping its author learn principles of effective feedback using  principles of effective feedback.
      • A professional development activity in the Desmos Classroom platform that engages teachers in writing feedback messages about student thinking and receiving feedback on their feedback via an API call to OpenAI’s ChatGPT.

      Literature reviews

      We asked researchers to review literature about feedback, especially for underrepresented minority students. The researchers compiled the following literature reviews:

      Stereotype Threat and Feedback (Picho-Kiroga)

      Teacher Feedback: A Brief Literature Review (Good)

      LLM prompt

      We wrote an LLM prompt designed to take in the following context:

      • The text of a math problem
      • A student’s response to the problem
      • A teacher’s feedback to the student
      • The principles of effective feedback we distilled from the literature reviews

      The prompt gives teachers feedback on their feedback, helping them learn to give effective feedback using the principles of effective feedback. The prompt and sample response:

      You are a helpful and patient mathematics instructional coach who needs to support teachers who are trying to give feedback to their students on mathematics problems.

      You will give feedback to teachers helping them give more effective feedback to their students. Your goal is to help teachers improve their feedback using several principles. It is important that you also use these principles when you give feedback to the teachers.

      First, feedback must communicate high standards and the message that a person is capable of meeting high standards. Those responses might look like:

      • “I am giving you these comments because I have very high expectations and I know that you can reach them.”
      • “The expectations in this course are high and I know you can do great work. The feedback here is designed to help you get there.”

      Second, feedback must emphasize mastery goals rather than performance goals. Feedback that incorporates mastery goals:

      • Is specific and substantive rather than one that is comparative/fosters competition.
      • Encourages perseverance, focuses on development of competence on the relevant topic and/or domain.
      • Acknowledges (praises) effort, improvement, and tells the person what is right about their work.
      • Emphasizes achieving a standard relative to mastery of content and prior performance, rather than focusing on relative performance (comparison to others).

      Third, feedback needs to be in language that the person receiving it can easily understand. Feedback to students should be written at a level that a grade 6 student can read and understand. Feedback to teachers should be written at a level that a grade 12 student can read and understand.

      The feedback should be concise. It should not tell the teacher the exact feedback to offer. Rather it should ask a question designed to help them think more about the principles of effective feedback we have described above.

      For context, you will receive a [mathematics problem], [student response], [teacher feedback message]. Here is an example of how you can support a teacher with providing feedback that follows the principles of effective feedback:

      [mathematics problem] Write the equation of this line. The line is given by the equation y = ⅔ x + 4

      [student response] y = 3/2 x + 4

      [teacher feedback message] That is incorrect. Try again.

      Your feedback to the teacher might be:

      Giving effective feedback is challenging and all of us can learn it. Here you told the student their answer is incorrect, which is important information, but doesn’t tell them what part of the task they got right. Can you change your feedback to emphasize an area where they are correct or, if you don’t see anything correct, to give them a first question to help them start?

      Given the following a [mathematics problem], [student response], and [teacher feedback message], write a three-to-five sentence message to the teacher that gives them feedback on their feedback and provides an example.

      A graph shows a line segment on a grid. A student answers "3" for its length, the teacher says "This is not correct," and LLM feedback suggests a more supportive response.

      Teacher professional development activity

      The OpenAI ChatGPT interface could help teachers develop more effective feedback, but working with it is more complex too. Teachers must input a math question, a student answer, and their original message into the context window.

      We wanted to simplify that process by embedding an API call to ChatGPT in an environment that automatically collects and injects the context information. To do that, we used the Desmos Classroom Activity Builder, the same platform we use to author our Desmos Math 6-A1 curriculum.

      In the professional development activity we created, teachers think about how students might respond to common math questions in middle school. They brainstorm their own responses to common wrong answers. And then they receive feedback from a helpful generative AI agent.

      A screen that says: “Miko's cat has an 8-centimeter bow tie. What does the model predict for its height? The most common wrong answer to this question is 40. What feedback might you offer that student?” Next to the question is a graph that shows a scatterplot, a line through the scatterplot and Miko's cat off the line at y = 40.

      Prototype: AI-enhanced Feedback Support

      Desmos Math contains an interface that lets teachers write feedback to students through its software platform. We created an activity that would a) help teachers learn how to give asset-based mathematics feedback, b) introduce educators to the affordances of AI in their practice.

      To use the activity:

      1. Click this activity link.
      2. Log in with a Google or Amplify account.

      You will interact with ideas about feedback and several incorrect student answers. When you give your feedback on those student answers, you’ll receive AI-generated feedback on your feedback. You can revise and resubmit multiple times.

      A video of the screens in the prototype that shows the AI typing a response to the teacher about the feedback for the student’s wrong answer.

      User Testing: Report of Results

      We invited middle school mathematics teachers to participate in this teacher feedback activity through one of our email communications. 95 teachers responded affirmatively and 44 of them ultimately participated. They accessed the activity and completed a survey about their experience.

      Overall, we have significant qualitative evidence in survey responses that teachers are interested in learning more about giving effective feedback and that they are at least curious about generative AI. This particular instantiation has significant room for improvement and we will continue to investigate ways to improve the kinds of feedback Black and Latino students receive from their teachers. Read more in the below report.

      Asset-oriented AI feedback for Black & Latino students at scale: Results of user testing

      Contact us

      ai-prototype@amplify.com

      Eureka Math-NEW

      To view this protected page, enter the password below:



      Invest in high-quality professional development.

      Amplify’s professional development (PD) provides a variety of learning experiences over multiple years to incrementally develop and apply the knowledge and skills needed for effective and self-sustaining implementation.

      Gain insights into effective instructional techniques and develop a deeper understanding of your Amplify program(s) by investing in PD.

      The foundation for long-lasting and sustainable change

      Partner with us to plan long-lasting and sustainable change for your school or district. Change achieved deliberately is much more likely to stick and get results. We can support you through this journey to drive your professional improvement, enrich your instructional practice, and increase student impact.

      Professional learning journey

      Prepare

      You’ll understand research-based practices to support new program implementation.

      Prepare learning experiences will help shift literacy and math instruction in areas such as the Science of Reading and/or problem-based approaches to math.

      Begin

      You’ll build the foundational knowledge and skills necessary to begin teaching with your Amplify program(s).

      Program-aligned packages will support those who are new to Amplify’s programs.

      Practice

      You’ll refine instrucional skills, expand knowledge of your Amplify program(s), and explore more advanced insturctional strategies.

      Program-aligned packages will support those who have experience using Amplify’s programs.

      Advance

      You’ll deepen understanding of content and pedagogy and build-in house capacity to support a robust, sustainable implementation.

      Program-aligned offerings will support advanced implementation, build capacity for instructional leaders, certify in-house trainers to deliver Launch sessions, and more.

      Learn more about our curated catalog of packages and sessions to support each stage of your learning journey.

      Multi-program, suite packages

      Core program packages

      Literacy

      • Amplify Texas ELAR/SLAR K–5
      • Amplify Texas ELAR 6–8

      STEM

      • Amplify Math
      • Amplify Desmos Math (K–A2)
      • Amplify Science
       

      Supplemental program sessions

      • Boost Reading Texas K–8
      • Boost Lectura K–2

      Assessment program packages

      • mCLASS Texas Edition
      • mCLASS Lectura Texas

      mCLASS Intervention K–6 program sessions

       

      Empower teachers to continuously improve.

      Professional development helps teachers stay motivated and inspired to grow professionally. Demonstrate your commitment to your staff by empowering them with professional development packages that include on-site or virtual Launch, Strengthen, or Coach sessions, all of which will orient you and your team to the full features of Amplify programs.

      You can also personalize your learning experience by adding enhancement sessions to base packages.

      Launch

      Launch sessions introduce Amplify programs and support strong implementation.

      After learning about the program’s foundational principles and key features, you’ll practice administering the program within a collaborative environment.

      Strengthen

      Strengthen sessions deepen understanding of the program. Session offerings are targeted and meant to take your practice—and your students’ learning—to the next level.

      Offered as part of core packages, as well as enhancements, Strengthen sessions are intended to effectively address your students’ needs. Examples include:

      • A focus on data analysis.
      • Examining student writing.
      • Targeted intervention instruction.

      Coach

      Coach sessions elevate instructional practice and help meet teachers’ and schools’ specific needs.

      Partner with an Amplify coach who will support you in planning a day tailored to meet the needs of teachers and/or leaders. Your customized session will leverage our menu of support, which can include:

      • Lesson modeling by an Amplify facilitator.
      • Classroom observations and debriefs.
      • Grade-level planning.

      Coach sessions are customized to you with an Amplify facilitator.

      Commit to sustainable change for long-term impact.

      Learning may ebb and flow between phases depending on your teachers’ and leaders’ needs, experiences, and professional goals. Amplify PD aims to continually grow, develop, and refine instructional practices to support student learning and achievement.

      Frequently asked questions

      We value your partnership and aim to provide you with the highest quality learning experiences. Check out our frequently asked PD questions below, along with responses.

      Additional learning

      Once you become an Amplify customer, you’ll have access to many opportunities to continue learning how to get the most out of your Amplify program(s).

      To get a sense of our support, check out some of our free resources:

      Three children sitting on the floor, reading a book together.

      Biliteracy supports

      Sessions are available to support educators teaching with both Amplify ELAR and Amplify SLAR core programs, or both mCLASS Texas Edition and mCLASS Lectura Texas assessment programs.

      Facilitated in both English and Spanish, these specialized sessions should be scheduled for biliteracy teachers using both curriculums and/or assessments. Substitute a biliteracy session for the six-hour initial training in your package, or add these sessions on to your package for your biliteracy teachers.

      Speak to our team to learn more!

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      If you’re ready to submit your price quote, purchase order, or payment, please visit our Ordering Support site for more information.

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      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.

      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.

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      Families and caregivers, welcome to Amplify Desmos Math 6–12!

      Welcome to the Amplify Desmos Math Grade 6–Algebra 2 Caregiver Hub. We’ve designed this space to help you support your student at every stage of their math journey. 

      In class, your student engages with digital lessons using devices as well as write-in Student Edition books. They also may be assigned digital or print practice outside of class. Below, you’ll find 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.

      Person wearing a construction hat and safety vest in a wheelchair, discussing with a phone and controlling the placement of a large triangular piece in a construction setting, with math symbols around.

      Caregiver Unit Resources

      For every unit of the program, we’ve created a Caregiver Resource that provides a summary of each lesson, plus a problem to try with your student (and an answer key). These resources are available in both English and Spanish, as well as a glossary of key terms in both languages.

      Unit 1: Area and Surface Area

      Unit 2: Introducing Ratios

      Unit 3: Rates and Percentages

      Unit 4: Dividing Fractions

      Unit 5: Decimal Arithmetic

      Unit 6: Expressions and Equations

      Unit 7: Positive and Negative Numbers

      Unit 8: Describing Data

      Unit 1: Scale Drawings

      Unit 2: Introducing Proportional Relationships

      Unit 3: Measuring Circles

      Unit 4: Proportional Relationships and Percentages

      Unit 5: Operations With Positive and Negative Numbers

      Unit 6: Expressions, Equations, and Inequalities

      Unit 7: Angles, Triangles, and Prisms

      Unit 8: Probability and Sampling

      Unit 1: Rigid Transformations and Congruence

      Unit 2: Dilations, Similarity, and Slope

      Unit 3: Proportional and Linear Relationships

      Unit 4: Linear Equations and Linear Systems

      Unit 5: Functions and Volume

      Unit 6: Associations in Data

      Unit 7: Exponents and Scientific Notation

      Unit 8: The Pythagorean Theorem and Irrational Numbers

      Unit 1: Area and Surface Area

      Unit 2: Introducing Ratios and Rates

      Unit 3: Fractions and Decimals

      Unit 4: Expressions and Equations

      Unit 5: Proportional Relationships

      Unit 6: Percentages

      Unit 7: Positive and Negative Numbers

      Unit 8: Data Sets and Distributions

      Course Glossary

      Unit 1: Rigid Transformations and Congruence

      Unit 2: Scale Drawings, Dilations, and Similarity

      Unit 3: Equations and Inequalities

      Unit 4: Linear Relationships and Systems of Linear Equations

      Unit 5: Functions

      Unit 6: Associations in Data

      Unit 7: Volume and Surface Area

      Unit 8: Exponents and Scientific Notation

      Unit 9: Pythagorean Theorem and Irrational Numbers

      Course Glossary

      Unit 1: Patterns and Sequences

      Unit 2: Linear Equations and Inequalities

      Unit 3: Describing Data

      Unit 4: Describing Functions

      Unit 5: Systems of Linear Equations and Inequalities

      Unit 6: Exponential Functions

      Unit 7: Quadratic Functions

      Unit 8: Quadratic Equations

      Unit refresh videos

      Unit 1

      • Sub-Unit 1a – Calculating the Area of Parallelograms
      • Sub-Unit 1b – Calculating the Area of Triangles
      • Sub-Unit 2 – Determining the Surface Area of Rectangular Prisms

      Unit 2

      Unit 3

      Unit 4

      • Sub-Unit 1 – Dividing Fractions Using Tape Diagrams
      • Sub-Unit 2 – Dividing Fractions Using Common Denominators
      • Sub-Unit 3 – Determining the Volume of Prisms With Fractional Dimensions

      Unit 5

      • Sub-Unit 1 – Adding and Subtracting Decimals
      • Sub-Unit 2 – Multiplying Decimals Using Area Models
      • Sub-Unit 3 – Dividing Decimals Using Fractions
      • Sub-Unit 4 – Converting Between Fractions, Percents, and Decimals

      Unit 6

      • Sub-Unit 1 – Writing and Solving Equations
      • Sub-Unit 2 – Writing Equivalent Expressions Using the Area Model
      • Sub-Unit 3 – Evaluating Expressions With Exponents
      • Sub-Unit 4 – Interpreting Graphs

      Unit 7

      • Sub-Unit 1 – Ordering and Comparing Positive and Negative Numbers
      • Sub-Unit 2 – Identifying Solutions to Inequalities
      • Sub-Unit 3 – Plotting Points on the Coordinate Plane

      Unit 8

      • Sub-Unit 1 – Creating Dot Plots
      • Sub-Unit 2 – Calculating Mean Absolute Deviation
      • Sub-Unit 3 – Interpreting Box Plots
      • Sub-Unit 4 – Predicting Population Using Sample Data (For use with Amplify Desmos Math New York)
      • Sub-Unit 5 – Predicting Sample Spaces Using Proportional Relationship (For use with Amplify Desmos Math New York)

      Unit 1

      • Sub-Unit 1 – Using Ratios to Determine the Scale Factor Between Scaled Copies
      • Sub-Unit 2 – Using Ratios to Determine Unknown Scales in Scale Drawings

      Unit 2

      • Sub-Unit 1 – Determining the Constant of Proportionality
      • Sub-Unit 2 – Writing Equations for Proportional Relationships
      • Sub-Unit 3 – Comparing Proportional Relationships
      • Sub-Unit 4 – Representing Proportional Relationships with Multiple Representations

      Unit 3

      • Sub-Unit 1 – Determining the Circumference of a Circle
      • Sub-Unit 2 – Calculating Areas of Complex Shapes

      Unit 4

      Unit 5

      • Sub-Unit 1 – Adding and Subtracting Positive and Negative Number
      • Sub-Unit 2 – Dividing Integers
      • Sub-Unit 3 – Solving Real-World Problems Involving Positive and Negative Numbers

      Unit 6

      • Sub-Unit 1 – Writing Equations from Descriptions and Tape Diagrams
      • Sub-Unit 2 – Solving Equations With Positive and Negative Numbers
      • Sub-Unit 3 – Solving Inequalities

      Unit 7

      • Sub-Unit 1 – Determining Unknown Angle Measures
      • Sub-Unit 2 – Determining If Three Segments Form a Triangle
      • Sub-Unit 3 – Calculating the Surface Area of Prisms

      Unit 8

      • Sub-Unit 1 – Predicting Sample Spaces Using Proportional Relationships
      • Sub-Unit 2 – Predicting Population Using Sample Data

      Unit 1

      • Sub-Unit 1 – Determining Coordinates After a Rotation
      • Sub-Unit 2 – Using Rigid Transformations to Determine if Two Figures on the Grid are Congruent
      • Sub-Unit 3 – Determining Unknown Interior and Exterior Angles

      Unit 2

      • Sub-Unit 1 – Performing Dilations on a Square Grid
      • Sub-Unit 2 – Determining Missing Side Lengths in Similar Triangles
      • Sub-Unit 3 – Calculating Slope By Drawing Similar Triangles on a Coordinate Plane

      Unit 3

      • Sub-Unit 1 – Writing Equations to Represent Proportional Relationships
      • Sub-Unit 2 – Interpreting Slope and Intercepts of Linear Relationships
      • Sub-Unit 3 – Calculating Slope Given Two Points

      Unit 4

      • Sub-Unit 1 – Solve Single-Variable Equations with Parentheses
      • Sub-Unit 2 – Solving Systems of Linear Equations by Graphing

      Unit 5

      • Sub-Unit 1 – Justifying Whether a Graph Represents a Function
      • Sub-Unit 2 – Comparing Properties of Linear Functions
      • Sub-Unit 3 – Calculating Volumes of Cylinders

      Unit 6

      • Sub-Unit 1 – Interpreting Points on a Scatter Plot
      • Sub-Unit 2 – Using Lines of Fit to Make Predictions
      • Sub-Unit 3 – Calculating Missing Values in Two-Way Tables

      Unit 7

      Unit 8

      • Sub-Unit 1 – Approximating Square Roots
      • Sub-Unit 2 – Calculating Unknown Side Lengths
      • Sub-Unit 3 – Identifying Rational and Irrational Numbers

      Unit 1

      • Sub-Unit 1 – Determining If a Sequence is Arithmetic, Geometric or Neither
      • Sub-Unit 2 – Using Visual Patterns or Terms in the Sequence to Write Explicit Expressions for Arithmetic and Geometric Sequences

      Unit 2

      • Sub-Unit 1 – Solving Linear Equations
      • Sub-Unit 2 – Solving Multi-Variable Linear Equations
      • Sub-Unit 3 – Graphing Solutions of Two-Variable Linear Inequalities

      Unit 3

      • Sub-Unit 1 – Calculating Values in Two-Way and Relative Frequency Tables
      • Sub-Unit 2 – Comparing Data Using Mean and Standard Deviation
      • Sub-Unit 3 – Interpreting Slope and y-intercept in Context

      Unit 4

      • Sub-Unit 1 – Evaluating Function Notation
      • Sub-Unit 2 – Writing Domain and Range with Inequalities
      • Sub-Unit 3 – Graphing Piecewise-Defined Functions
      • Sub-Unit 4 – Writing Recursive Definitions in Function Notation

      Unit 5

      • Sub-Unit 1 – Solving Systems of Linear Equations by Substitution
      • Sub-Unit 2 – Graphing Solutions to Systems of Inequalities

      Unit 6

      • Sub-Unit 1 – Writing Exponential Functions from Graphs
      • Sub-Unit 2 – Calculating Percent Change in Exponential Functions
      • Sub-Unit 3 – Writing Equivalent Expressions Using Radicals and Rational Exponents
      • Sub-Unit 4 – Writing Exponential Functions Involving Compound Interest

      Unit 7

      • Sub-Unit 1 – Describing Key Features of Parabolas
      • Sub-Unit 2 – Graphing Quadratic Functions in Factored Form
      • Sub-Unit 3 – Writing Quadratic Functions in Vertex Form

      Unit 8

      • Sub-Unit 1 – Rewriting Factored-Form Expressions in Standard Form
      • Sub-Unit 2 – Solving Quadratic Equations by Graphing
      • Sub-Unit 3 – Solving Quadratic Equations by Completing the Square
      • Sub-Unit 4 – Solving Quadratic Equations Using the Quadratic Formula

      Access Amplify Desmos Math at home.

      Your student will have access to all learning, practice, and assessment materials through the Amplify platform. Students can access the digital curriculum in school and at home by following these simple instructions.

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

      Once logged in, you and your student can view work by opening previous assignments.

      Learn how to navigate the student home page.

      Support math learning at home.

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

      Relate math to daily activities at home, whether you’re baking, grocery shopping, or planning a trip. Your student can help you calculate the prices when you use a coupon, figure out how to cut a recipe in half, or determine the amount of gas you’ll need to make it to your destination.

      Invite your student to walk you through how they solved each problem or talk about any parts that were challenging for them. To encourage the use of math language, consider asking, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students get stuck, consider asking questions like, “What information do you know here?” or “How could you represent this problem?”

      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 they’re right.

      We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy this exciting math journey with them!

      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.

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      Our 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.

      Supporting resources

      Scope and sequence

      GRADE

      UNITS

      Kindergarten

      • Needs of Plants and Animals
      • Pushes and Pulls
      • Sunlight and Water

      Grade 1

      • Animal and Plant Defenses
      • Light and Sound
      • Spinning Earth

      Grade 2

      • Plant and Animal Relationships
      • Properties of Materials
      • Changing Landforms

      Grade 3

      • Balancing Forces
      • Inheritance and Traits
      • Environments and Survival
      • Weather and Climate

      Grade 4

      • Energy Conversions
      • Vision and Light
      • Earth’s Features
      • Waves, Energy, and Information

      Grade 5

      • Patterns of Earth and Sky
      • Modeling Matter
      • The Earth System
      • Ecosystem Restoration

      GRADE

      UNITS

      Grade 6

      • Launch: Microbiome
      • Metabolism
      • Metabolism Engineering Internship
      • Thermal Energy
      • Plate Motion
      • Plate Motion Engineering Internship
      • Rock Transformations
      • Weather Patterns
      • Ocean, Atmosphere, and Climate

      Grade 7

      • Launch: Harnessing Human Energy
      • Phase Change
      • Phase Change Engineering Internship
      • Magnetic Fields
      • Earth’s Changing Climate
      • Earth’s Changing Climate Engineering Internship
      • Chemical Reactions
      • Populations and Resources
      • Matter and Energy in Ecosystems

      Grade 8

      • Launch: Geology on Mars
      • Earth, Moon, and Sun
      • Light Waves
      • Force and Motion
      • Force and Motion Engineering Internship
      • Traits and Reproduction
      • Natural Selection
      • Natural Selection Engineering Internship
      • Evolutionary History

      South Carolina College- and Career-Ready Science Standards 2021

      Amplify Science was designed from the ground up to meet the Next Generation Science Standards (NGSS), and the South Carolina College- and Career-Ready Science Standards 2021 are closely aligned to the NGSS at K-8. The guidance below is meant to provide support for integrating additional companion activities that support full coverage of the South Carolina College- and Career-Ready Science Standards 2021.

      Organized by grade level, each section below will outline:

      • Additional activities that support 100% alignment to the  South Carolina College- and Career-Ready Science Standards 2021; 
      • The standard being addressed with the activities; 
      • The recommended placement of the activities within a specific Amplify Science unit; and 
      • PDFs of any accompanying materials that are necessary to implement the activities.

      Standard: MS-PS1-4: Develop a model that predicts and describes changes in particle motion, temperature, and state of a pure substance when thermal energy is added or removed.
      Recommended placementThermal Energy unit, Lesson 4.4, addition to Activity 3
      Materials“Liquid Oxygen”
      By reading the article “Liquid Oxygen,” which describes how the relationship between attraction and kinetic energy determines when a substance changes phase, students extend their understanding of the possible effects of adding or removing thermal energy to include changes in state (phase). Oxygen is one of the most common elements in the world, but most people are only familiar with oxygen in the gas phase. Because oxygen molecules are only weakly attracted to one another, condensing oxygen is difficult. This article introduces students to molecular attraction and discusses its role in phase change, including how it can be used to turn oxygen from a gas to a liquid.
      Instructions:
      Download PDFs of the “Liquid Oxygen” and distribute it to students. Before they begin reading, remind students of the Active Reading Guidelines. 

      Standard: MS-PS4-2: Develop and use a model to describe that waves are reflected, absorbed, or transmitted through various materials.
      Recommended placementWeather Patterns unit, Lesson 4.4, addition to Activity 3
      Materials“Harvesting Sunlight”, “Why No One in Space Can Hear You Scream” and “Making Waves at Swim Practice”
      After investigating weather patterns, which includes a focus of the effects of energy from sunlight, students extend their learning about light by reading three articles about light and other waves.
      “Harvesting Sunlight:” Students read this article to learn about the types of light from the sun that plants use for photosynthesis. The article describes how the sun emits all types of light, but plants can only use certain types of visible light for photosynthesis, mostly red and blue light. Plants also absorb other types of light, and these types of light affect plants in different ways. Students use this information to gather evidence that there are different types of light that can affect a material in different ways.
      “Why No One in Space Can Hear You Scream:” Students read this article to learn about how waves are transmitted. Explosions that would be deafening on Earth are silent in space. This is because sound is produced by sound waves and, unlike light waves, sound waves need matter to travel through. Reading about this phenomenon helps students understand the similarities and differences between mechanical and electromagnetic waves.
      “Making Waves at Swim Practice:” A practice for the school swim team provides an everyday context for discussing light waves and sound waves in this engaging article. First, the article explores sound waves traveling through different materials–the air, the water of the pool, and even a metal poolside bench. Students discover that sound waves travel at different speeds in different materials. The later part of the article discusses light waves, which also travel at different speeds in different materials. As light waves move from one material to another, they change speed and bend. This bending of light waves is called refraction, and it explains why objects that are partly in the water and partly out of the water (such as the legs of a person sitting on the side of a pool) appear ripply and bent.
      Instructions:
      Plan one class period for each article. Download PDFs of the  “Harvesting Sunlight,” “Why No One in Space Can Hear You Scream,” and “Making Waves at Swim Practice” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

      Standard: MS-PS2-3: Ask questions about data to determine the factors that affect the strength of electric and magnetic forces. MS-PS2-5: Conduct an investigation and evaluate the experimental design to provide evidence that fields exist between objects exerting forces on each other even though the objects are not in contact.
      Recommended placementHarnessing Human Energy unit, Lesson 3.4, after Activity 1
      Materials“Earth’s Geomagnetism” and “Painting with Static Electricity”
      After concluding their investigations of energy transfers and conversions, students read two articles that introduce the topic of forces that act at a distance.
      “Earth’s Geomagnetism:” What makes a compass needle point north, no matter what? This article introduces students to Earth’s geomagnetic field and the field lines scientists use to show its direction.
      “Painting with Static Electricity:” This article gives students the opportunity to learn about electrostatic fields and forces in the context of spray painting without making a mess. Electrostatic painting systems use electrostatics to draw spray paint toward the object being painted, and nowhere else. Painters charge the object they are painting with a negative charge and the paint with a positive charge. The opposite charges are attracted to one another, causing the paint to move toward the object. This surprising use of electrostatics saves time and paint and keeps things tidy!
      Instructions
      Plan one class period for each article. Download PDFs of the “Earth’s Geomagnetism” and “Painting with Electricity” articles. For each article, before students begin reading, preview the article and discuss what students already know and what they wonder about the topic, then remind students of the Active Reading Guidelines. 

      What’s included

      Science articles
      The middle school science articles serve as sources for evidence collection and were authored by science and literacy experts at the Lawrence Hall of Science.

      Student Investigation Notebooks
      Available for every unit, the Student Investigation Notebooks provide space for students to:

      • Record data
      • Reflect on ideas from texts and investigations
      • Construct explanations and arguments

      Available with full-color article compilations for middle school units.

      Cuatro folletos blancos con detalles en naranja brillante y varias imágenes de temas de la naturaleza en las portadas. Los títulos son parcialmente visibles, centrándose en información sobre el agua y sus usos.

      Digital student experience
      Students access the digital simulations and modeling tools, as well as lesson activities and assessments, through the digital student experience. Students can interact with the digital student experience as they:

      • Conduct hands-on investigations
      • Engage in active reading and writing activities
      • Participate in discussions
      • Record observations
      • Craft end-of-unit scientific arguments
      Una fotografía de tres pantallas de computadora que muestran diferentes interfaces de software: código sobre un fondo negro, un mapa de calor del clima y un entorno de programación gráfico.

      Teacher’s Guides
      Available digitally and in print, the Teacher’s Guides contain all of the information teachers need to facilitate classroom instruction, including:

      • Classroom Slides
      • Detailed lesson plans
      • Unit and chapter overview documentation
      • Differentiation strategies
      • Standards alignments
      • In-context professional development
      A laptop displaying the Geology on Mars webpage sits beside a book titled "Geology on Mars," both featuring the same cover image of Mars and a spacecraft, perfect for enhancing three-dimensional learning in any science classroom.

      Hands-on materials kits
      Hands-on learning is at the heart of Amplify Science. Each unit kit contains:

      • Consumable and non-consumable hands-on materials
      • Print classroom display materials
      • Premium print materials for student use (sorting cards, maps, etc.)
      A perforated rectangular board, three small containers with different powders, a black battery holder with red wires, and three colored alligator clips are arranged on a white background.

      Remote and hybrid learning supports

      Una persona sentada en un escritorio usando una computadora portátil, con una estantería que contiene libros, una pecera y una pelota de fútbol cerca.

      Amplify has launched a new remote learning solution called Amplify Science@Home. Intended to make extended remote learning and hybrid learning easier, Amplify Science@Home includes two useful options for continuing instruction: @Home Videos and @Home Units. 

      Amplify Science @Home Videos are recordings of real Amplify Science teachers teaching the lessons. For those teachers who are unable to meet synchronously with their students, the recorded lessons are a great way to keep their students on track and engaged with Amplify Science while at home. These videos will be produced for all K–5 units, and for the first four units of each 6–8 grade level. Their release will be rolling, beginning in August.   

      Amplify Science@Home Units are modified versions of Amplify Science units, strategically designed to highlight key activities from the program. The @Home Units take significantly less instructional time than the complete Amplify Science program and allow students to engage with science at home. @Home Units will be developed for all Amplify Science K–8 units. Each @Home unit includes:

      • Teacher overviews explaining how to use the materials, including suggestions for enhancing the @Home Units if synchronous learning or in-class time with students is available.
      • Overviews to send home to families.

      Student materials are available in two formats:

      • @Home Slides (PDF/PPT) + Student Sheets (PDF) for students with access to technology at home.
      • Downloadable @Home Packets (PDF) for students without access to technology at home.

      Download the Remote and hybrid learning guide.

      Looking for help?

      Powerful (and free!) pedagogical support

      Amplify provides a unique kind of support you won’t find from other publishers. 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

      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 7 a.m. to 7 p.m. ET, 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:

      Contact us

      Contact your South Carolina team representatives:
      Jeff Rutter
      Field Manager
      jrutter@amplify.com
      (727) 512-8440

      Lisa Jurovaty
      Account Executive (West South Carolina)
      ljurovaty@amplify.com
      (803) 526-1899

      Cathy McMillan (East South Carolina)
      Senior Account Executive
      cmcmillan@amplify.com
      (904) 465-9904

      Inspiring the next generation of Alabama scientists, engineers, and curious citizens

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      Pseudoscience examples for critical thinking skills

      MIRACLE HAIR GROWTH! 

      Quantum hair activation technology: This groundbreaking innovation goes beyond conventional science, delving into the realm of quantum energy to stimulate hair growth at the subatomic level. Blended with rare botanicals from ancient civilizations for luster and shine. Limited-time offer: Act now and receive a vial of stardust-infused hair serum!

      Effective product…or pseudoscience? We’ll bet you guessed it. (Sorry, no stardust serum for you!)

      While this hair product itself sounds like junk, reading about it can be a valuable experience for science students.

      Teaching your students to identify pseudoscience in the world around them helps them learn to protect themselves from false claims that can be money-wasting at best, dangerous at worst.

      And as they learn to discern, they also develop lifelong critical thinking skills!

      We say knowledge is power but it’s not enough to know things, and there’s too much to know. Being able to think and not fall for someone’s bunk is my goal for my students.

      —Melanie Trecek-King, biology professor and guest in Science Connections podcast Season 3, Episode 5: Thinking is power

      Let’s explore how educators can use examples of pseudoscience to develop critical thinking skills—and incorporate NGSS (Next Generation Science Standards) science and engineering practices into their approach.

      What’s the difference between science and pseudoscience?

      Science is grounded in empirical evidence, rigorous testing, and the scientific method. Pseudoscience presents itself as scientific but lacks the fundamental elements of genuine scientific inquiry: evidence, peer review, and the capacity to generate accurate predictions.

      Though pseudoscience may make vague claims, it has clear characteristics. When something is pseudoscience, it:

      1. Can’t be proven wrong: Makes claims that are unobservable or too vague.
      2. Professes “proof” without presenting actual evidence: Presents only anecdotal evidence, if any.
      3. Uses technobabble: See: “Quantum hair activation technology.”

      For more characteristics of pseudoscience, check out Melanie Trecek-King’s episode of Science Connections!

      To be sure, not all pseudoscience is harmful—pursuits and activities such as aromatherapy and astrology can be positive experiences in people’s lives—it just should not be defined as or considered science.

      How addressing pseudoscience encourages critical thinking

      When you teach students to identify pseudoscience, you are teaching them to use an evidence- and research-based approach when analyzing claims. Which is…science!

      You are also:

      • Teaching them to engage in thoughtful and educational argument/debate.
      • Encouraging them to use their knowledge of science in the real world.
      • Creating real-world impact.

      When students learn to identify pseudoscience—faulty products, myths, and disprovable “discoveries”—they’ll be prepared and informed when making real-world decisions.

      Critical thinking exercises inspired by pseudoscience

      We’ve talked about “miracle” hair growth treatments, which are more commonly targeted to adults. Students may have more commonly encountered claims about or ads for alkaline water or detox diets, conspiracy theories and instances of science denial, astrology, and more. These examples offer great opportunities to discuss how to determine the difference between science and pseudoscience.

      Suggested activities:

      • Pseudoscience Sherlock: Ask students to find examples of pseudoscience in real life via social media, products sold in stores, or on the internet. Tell them to pay close attention to “articles” that are really ads.
      • Pseudoscience lab: Prompt students to back up their claim that a given example represents pseudoscience with evidence: e.g., lack of empirical evidence, controlled experiments, or unbiased sample; absence of peer-reviewed research; reliance on anecdotes; hyperbolic and unprovable claims.
      • Snake oil! Ask students to practice identifying pseudoscience by creating their own advertisements, commercials, or news segments for fake products or scientific “advancements.”
      • Spread the word: Ask students to create flyers, PSAs, or articles on how to identify the characteristics of pseudoscience.

      Other activities that incorporate the NGSS while also sniffing out pseudoscience:

      • Asking questions: Encourage students to ask probing questions about pseudoscientific claims. How does this claim defy our current understanding of the natural world? What empirical evidence is missing?
      • Developing and using models: Have students create models that illustrate the differences between a pseudoscientific claim and a well-established scientific concept. This visual representation supports understanding and critical analysis.
      • Engaging in argument from evidence: Arrange debates where students argue for or against a pseudoscientific claim using evidence-based reasoning. This practice sharpens their ability to critically evaluate information.
      • Obtaining, evaluating, and communicating information: Ask students to research the history and impact of a specific pseudoscientific belief. Have them present their findings, highlighting how critical thinking could have prevented widespread acceptance of the claim.

      Using examples of pseudoscience in your science classroom can help students learn to not only think like scientists, but navigate the real world, too.

      Bertha Vasquez, former teacher and current director of education at the Center for Inquiry, has used these approaches with her students. As she shared on Season 3, Episode 6 of Science Connections: “I guarantee you that those students, when they walked into a store with their parents and they saw a product [with] a money-back guarantee [that] cures way too many things, and it’s based on ‘ancient plant wisdom’ and has ‘scientific’ language on the box, they may go, ‘Mom, I think these people are trying to sell you some pseudoscience.’”

      More to explore

      Invest in high-quality professional development

      Amplify’s professional development provides a variety of learning experiences over multiple years to incrementally develop and apply the knowledge and skills needed for effective and self-sustaining implementation.

      Gain insights into effective instructional techniques, and develop a deeper understanding of your Amplify program(s) by investing in professional development.

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      Collage showing a digital science simulation, a teacher demonstrating science materials on video, and a PDF icon for a K–5 Amplify Science lesson planning template.

      The foundation for long-lasting and sustainable change

      Partner with members of our professional learning team to plan long-lasting and sustainable change for your school or district. Change is more likely to stick and get results with deliberate planning. We can support your through this journey to drive your professional improvement, enrich your instructional practice, and increase student impact.

      Professional learning journey

      Every school and district is unique. That’s why we offer flexible delivery options to best meet your specific needs and objectives.

      Our professional development programs come in packages or individual sessions, available both on-site and virtually, to help you get the most out of your Amplify program(s).

      You can also customize your learning experience by adding extra sessions, such as Science of Reading, supporting multiliterate learners, and a problem-based approach to math, to build on your base package.

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      Prepare

      Begin

      Practice

      Advance
      Prepare learning experiences will help shift literacy and math instruction and deepen understanding of research-based practices to support new program implementation. Program-aligned packages will support those who are new to Amplify’s programs. You’ll build the foundational knowledge and skills necessary to begin teaching with your Amplify program(s).

      Program-aligned packages will support those who have experience using Amplify’s programs. You’ll refine instructional skills, expand knowledge of your Amplify program(s), and explore more advanced instructional strategies.

      Program-aligned offerings will support advanced implementation to deepen understanding of content and pedagogy and build-in house capacity to support a robust, sustainable implementation.

      Multi-program, suite packages

      Core program packages

      Literacy

      • Amplify CKLA
      • Amplify Caminos
      • Amplify ELA

      STEM

      • Amplify Math
      • Amplify Desmos Math (K–12)
      • Amplify Science

       

       

       

      Intervention program sessions

      • Boost Reading
      • Boost Lectura
      • Boost Close Reading
      • Boost Math

      Assessment program packages

      • mCLASS with DIBELS® 8th Edition
      • mCLASS Lectura
      • mCLASS Math

      mCLASS Intervention K–6 program sessions

       

       

      Empower teachers to continuously improve

      Professional development helps teachers stay motivated and inspired to grow professionally. Demonstrate your commitment to your staff by empowering them with professional development packages that include on-site or virtual Launch, Strengthen, or Coach sessions, all of which will orient you and your team to the full features of Amplify programs.

      You can also personalize your learning experience by adding enhancement sessions to base packages.

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      Three people work together at a computer in a classroom; one woman points at the monitor while the others watch attentively.

      Launch

      On-site and virtual Launch sessions introduce Amplify programs and support strong implementation. Self-paced, online courses are also available for select Amplify programs and include an on-demand subscription for 12-months.

      After learning about the program’s foundational principles and key features, you’ll practice administering it within a collaborative environment.

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      Strengthen

      On-site and virtual Strengthen sessions deepen understanding of the program. Session offerings are targeted and meant to take your practice—and your students’ learning—to the next level.

      Offered as part of core packages, as well as enhancements, Strengthen sessions are intended to effectively address your students’ needs. Examples include:

      • A focus on data analysis.
      • Examining student writing.
      • Targeted intervention instruction.
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      Coach

      On-site and virtual Coach sessions are tailored to elevate instructional practices and meet the unique needs of teachers and/or leaders.

      Partner with an Amplify coach who will support you in planning customized sessions leveraging our menu of supports, which can include:

      • Lesson modeling by an Amplify facilitator.
      • Classroom observations and debriefs.
      • Grade-level planning.

      Commit to sustainable change for long-term impact

      Learning may ebb and flow between phases depending on your teachers’ and leaders’ needs, experiences, and professional goals. Amplify professional development aims to continually grow, develop, and refine instructional practices to support student learning and achievement.

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      Frequently asked questions

      We value your partnership and aim to provide you with the highest quality learning experiences. Check out our frequently asked PD questions below, along with responses.

      Additional learning

      Once you become an Amplify customer, you’ll have access to many opportunities to continue learning how to get the most out of your Amplify program(s).

      To get a sense of our support, check out some of our free resources:

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      Biliteracy supports

      Facilitated in both English and Spanish, specialized biliteracy sessions should be scheduled for teachers using both curricula and/or assessments. Sessions are available to support the use of both Amplify CKLA and Amplify Caminos core programs or mCLASS DIBELS 8th Edition and Lectura assessment programs. Substitute a biliteracy session for the 6-hour initial training in your package, or add these sessions on to your package for your biliteracy teachers.

      Speak to our team to learn more!

      Order and payment support

      If you’re ready to submit your price quote, purchase order, or payment, visit our Ordering Support site for more information.

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      Community of collaboration

      Connect with fellow Science of Reading or science advocates in one of our public Facebook groups. Join a community or tune into one of our podcasts today:

      Amplify customers can join our exclusive, program-specific Facebook communities to ask pedagogical questions, share Amplify teaching hacks, and more!

      Get in touch with a PD expert

      Texas State Reviewers: Welcome to Amplify Desmos Math Texas!

      Thank you for taking the time to review Amplify Desmos Math Texas K–5.  This site provides the login steps and tools you need to review the program.

      Watch this short introductory video to help you navigate the Amplify Desmos Math Texas K-5 platform.  Then, use the login credentials below to start your online review. 

      The helpful Navigation Tool-Title Lists with live links and other documents to guide your review can be found below as well.  

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      Login credentials:

      Login page for Amplify with options to log in via Google, Clever, Amplify, QR code, or District SSO. A "Help" button and illustrated design elements are also visible.

      Step 1

      Go to learning.amplify.com and select Login with Amplify.

      Enter the username and password:

      Username: t.txmathk5@tryamplify.net
      Password: AmplifyNumber1

      Step 2

      Select Amplify Desmos Math in Your Programs.

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      Step 3

      Once you’re in the program, select a grade level to explore the digital curriculum.

      Navigation video

      View this short introductory video to help you navigate the Amplify Desmos Math Texas K-5 platform.

      Navigation Tool – Title Lists

      Tip:  Be sure you’re logged into the Amplify Desmos Math platform (steps above) before clicking on the links in these documents.

      New content – Quality rubric 1.1a

      If approved, this proposed content will be added as a Paper Resource on the Course-level tile on Amplify Desmos Math Texas and on the Caregiver Hub as an additional home resource.

      New content – Grade 4

      Citations for Upper Limit TEKS in K-5 Mathematics

      Proposed changes to address the upper limit TEKS breakouts can be found at the link above. The notes for each citation indicate where the new content will exist, once approved.

      Components List

      Access the full list of components for Amplify Desmos Math Texas K-5.

      Center Resources and Kits

      Access a description and ISBN’s for the K-5 Center Resources and Kits.

      Manipulative Kits List

      Access the full list of contents for each K-5 Amplify Desmos Math Texas Manipulative Kit.

      What’s new in Amplify CKLA 3rd Edition

      Experience the next chapter in the Science of Reading with Amplify CKLA 3rd Edition.

      In this edition, you’ll enjoy an enhanced knowledge-building sequence, more differentiation to reach all learners, digital assessments and reports, and enriched writing instruction grounded in the Science of Writing, the research behind how kids learn to write.

      Enhanced knowledge-building sequence

      We’ve added new units and updated existing ones to include a broader range of people, perspectives, and high-quality texts. New Choice Units even enable districts to select topics that best reflect their community’s values while maintaining standards coverage.

      New units include:

      • Geography in K–1
      • Poetry units now starting in Grades 2–3
      • Novel Study Units in Grades 3–5
      • Oceans in Grade 5
      • Research Units in every grade!

      Instruction based on the Science of Writing

      Our writing instruction is fully integrated and grounded in the Science of Writing, the research behind how kids learn to write effectively. Systematic daily lessons align with the Simple View of Writing and make it easier to help students develop writing proficiency—without additional programs.

      Two children focus on their studies while writing at their desks in a classroom, benefiting from teacher resources aligned with the CKLA curriculum.

      K–2 writing

      The Skills Strand covers all text types, and every Knowledge Strand unit now has high-impact writing activities, including sentence combining, sentence expanding, and pre-writing exercises like graphic organizers.

      3–5 writing

      Writing instruction remains explicit and systematic in Grades 3–5, with added high-impact writing activities to deepen learning.

      Check out our Grade 1 Culminating Research Unit description and trade books

      More authentic, diverse texts

      A variety of texts—from complex read-alouds and decodable chapter books to trade books and content-rich readers—connect to learning goals. Amplify CKLA 3rd Edition also features new Culminating Research and Novel Study Units!

      Culminating Research Units

      Each grade now includes a core Culminating Research Unit featuring carefully selected trade books. These units build critical thinking and research skills, from selecting topics to presenting findings.

      Novel Study Units

      Novel Study Units are part of district-level Choice Units in Grades 3–5. Districts can select one novel per grade, from classic or contemporary options, choosing the book that best reflects their community’s goals and values while still covering all required standards.

      Easy-to-use materials, pacing for real classrooms

      Running out of instructional time? We understand! Our streamlined units now cover all standards within 165 days, leaving more time for enrichment and remediation.

      Education chart displaying two strands: Knowledge (K-2) with 10 units per grade and 16 instructional days per unit, and Integrated (3-5) with 9 units per grade and 18 instructional days per unit. The CKLA curriculum provides comprehensive teacher resources for multilingual learners.

      All-in-one digital platform

      Amplify CKLA 3rd Edition is part of a digital platform that enables seamless integration across all Amplify programs.

      The platform includes familiar tools like lesson slides—now Presentation Screens—along with new features such as skill-building games, assessments, and detailed reports. 

      Digital assessments

      Auto-scored K–2 Knowledge and 3–5 End-of-Unit assessments deliver immediate insights to enable quick, data-driven decisions.

      Standards-based reports

      Detailed reports highlight strengths and growth opportunities at individual, group, and class levels, all aligned to standards.

      Embedded support to reach all learners

      We’ve worked with experts and practitioners to enhance our differentiation strategies, making content more accessible to all students—including multilingual/English learners. Improved iconography helps you quickly find in-the-moment support, ensuring these strategies are seamlessly integrated.

      See our new approach to ML/EL support in our Teacher Guides
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      Grades 3–5 foundational skills instruction

      Recognizing the ongoing need for foundational skills instruction beyond Grade 2, we’ve introduced Grades 3–5 Skills to reinforce and build on the K–2 Skills Strand. Use it to support core lessons or serve as an intervention, depending on your students’ needs. 

      The instruction follows a familiar sequence and offers flexibility: It can be taught in two 15-minute sessions or one 30-minute session. 

      Grades 3–5 Skills resources are included in core classroom kits, although the instruction isn’t required for Grades 3–5 standards coverage.

      Bold new look and feel

      With modernized covers, full-color interiors, and enhanced iconography, Amplify CKLA 3rd Edition materials are not only visually appealing, but also easier to navigate.

      Three educational book covers displayed; one on astronomy featuring an astronaut, one titled 'Skills 1' for multilingual learners, and another on jazz music showcasing musicians. Surrounding elements include a microphone, pencil, and musical notes. Ideal teacher resources to complement Amplify CKLA curriculum.

      S3-05: Thinking is power

      A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

      Join us as we sit down with Melanie Trecek-King, college professor and creator of Thinking is Power, to explore how much of an asset science can truly be in developing the skills students need to navigate the real world. You’ll learn about “fooling” students and the importance of developing critical thinking, information literacy, and science literacy in the classroom. We’ll also share real strategies and lesson examples that help build these essential skills and engage students in learning.

      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

      Melanie Trecek-King (00:00):

      We say knowledge is power, but it’s not enough to know things. And there’s too much to know. So being able to think and not fall for someone’s bunk is my goal for my students.

      Eric Cross (00:12):

      Welcome to Science Connections. I’m your host, Eric Cross. On this third season, we’ve been talking about science’s underdog status. And just this past March at the NSTA conference in Atlanta, I had the chance to speak with science educators from around the country about this very topic.

      Hermia Simanu (00:28):

      Right now, there’s only two teachers in our high school teaching science.

      Shane Dongilli (00:32):

      I have 45 minutes once a week with each class. The focus is reading and math.

      Alexis Tharpe (00:38):

      Oftentimes science gets put by the wayside. And you know, I love math and I love my language arts, but I also think science needs to place be placed on that high pedestal as well.

      Askia Little (00:46):

      In fifth grade, oh, they teach science, because that’s the only grade that it’s tested.

      Eric Cross (00:50):

      That was Hermia Simanu from American Samoa. Her team flew for three days to make it to the conference. You also heard from Shane Dongilli from North Carolina, Alexis Tharpe from Virginia, and Askia Little from Texas. All of these teachers were excited to be at the conference and had a lot to say about the state of science education in their local schools. Throughout this season, we’ve been trying to make the case for science, showing how science can be utilized more effectively in the classroom. We’ve explored the evidence showing that science supports literacy instruction. We’ve talked about science and the responsible use of technology like AI. My hope is that all of you listeners out there can use some of this evidence to feel empowered to make the case for science in your own communities. And on this episode, we’re going to examine how science can help develop what might be the most important skill that we try to develop in our students: Good thinking. On this episode, I’m joined by a biologist who actually advocated for eliminating the Intro to Bio course at her college. Instead, Professor Trecek-King created a new course focused on critical thinking, information literacy, and science literacy skills. In this conversation, we discuss why the science classroom is such a good environment for helping students become better thinkers. Now, I don’t think that you can make a much stronger argument for science than using it to develop the skills that Melanie describes in this conversation. So, without further ado, I’m thrilled to bring you this conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College, and creator of Thinking Is Power. Here’s Melanie.

      Eric Cross (02:29):

      Well, Melanie, thank you for joining us on the show. It’s so good to have you.

      Melanie Trecek-King (02:34):

      I am so happy to be here.

      Eric Cross (02:35):

      Now, I went to your session at NSTA in Chicago … I think it was two years ago. A couple years ago. And I was listening to your session, and as I was listening to you, I started Reverse Engineering in my mind what you were doing with your college students. I started reverse engineering the K–8. I was like, “This is amazing.” Where has what you’ve been doing been hiding? We need this not just in the college, higher ed. We need this all the way up and down. Because I hadn’t seen it before. So I think a good place for us to start is gonna be like the story of how and why you as a biologist wound up making the case to actually eliminate the Intro to Biology course at your college. So can you start off and tell us a little bit about that story?

      Melanie Trecek-King (03:20):

      Sure. So I started teaching at a community college in Massachusetts. And I absolutely love teaching at a community college. And I was teaching the courses that people who don’t wanna be scientists when they grow up have to take to fulfill their science requirement. And that course was Intro Bio. And I tried every way I could figure out to make that class be useful,] relevant to students. I mean, the thing is, our world is based on science and you have to understand science to be a good consumer of information, to make good decisions. And I’m a biologist, so it pains me to say this, but you know, somewhere in the middle of teaching students about the stages of mitosis and protein synthesis, I thought, “Is this really — like, if I have one semester that’s gonna be the last chance that someone’s gonna get a science education, is this really what they need?” And I just decided, “No.” So, to my college’s credit, they were very supportive. I went to them and said, “You know, I think we should assess the non-majors courses. Like, why do we teach non-majors science?” And we all agreed, well, it was for science literacy. OK, great. Do our existing non-majors courses do that? And so we evaluated each of the courses. I made a case that Intro Bio was not doing it. And so we actually replaced it with a course that I call Science for Life. And the whole course is designed to teach science literacy, critical thinking, and information literacy skills.

      Eric Cross (04:48):

      And so you did this while you were looking at mitosis. And you’re looking at students who may or may not be science majors. And then kind of asking that question. I know every educator asks this, and whether or not it’s welcomed or supported is a different question: “Is what I’m teaching actually gonna be relevant and useful later on down the road for this group of students?” And you actually got to run with it and then create this course, this new course. So, what were the skills that you were hoping to achieve with the new course you developed, and and why were those skills so important?

      Melanie Trecek-King (05:21):

      Well, if I just go back for a second to what you said, ’cause it, really hit me: I remember the actual moment — it had been building up to that point, but the actual moment that it hit me — I was teaching students the stages of mitosis. And I was applying it to cancer, because the thought is that if we use issues that are relevant to students to teach concepts, that it will be more meaningful to them. They’ll learn it better; they’ll be able to apply it. And they just looked absolutely deflated. They didn’t wanna be there. And I had this moment where I thought, “You know, if, if these students ever have cancer somewhere in their lives, is what I taught them going to be something that they remember? Is it going to be useful to them?” And quite frankly, like, no. <Laugh> They’re not gonna remember proto-oncogenes. And quite frankly, is that really what they need to know at that moment? What they need to know is, “What does this mean? Who is a reliable source of information here? If these treatments are recommended, what is the evidence for them? What are the cost-benefit analyses? Where do I go to find reliable information?” And in that space, cancer in particular, we have this whole field of — I wanna say charlatans, ’cause they may not actually be lying, but they’re pedaling false cures, false hopes. And people need that kind of hope, and so in their time of need, they’re more likely to fall for that kind of thing. Which leads me to the skills that I teach students. I call them this tree of skills. And the order is important. I start — and there’s a lot of overlap to be fair — but critical thinking, and then information literacy, and science literacy. The idea is that students carry in their pockets access to basically all of human’s knowledge at this moment in time. And if they needed to access it, they could. The question is, do they know what they’re looking for? Are they aware of their own biases that are leading them to certain sources, or certain false hopes? Are there certain things that are making them more vulnerable to the people that might prey on them? Are they able to use that information to make good decisions? There’s a great Carl Sagan quote, and it’s something like, “If we teach people only the findings of science, no matter how useful or even inspiring they may be, without communicating the method, then how is anyone to be able to tell the difference between science and pseudoscience?” So yes, the process of science is a process of critical thinking. However, we do tend to present science most of the time. Like, here’s what science has learned. And to be fair, those things that we’ve learned from science are really useful and inspiring. But if we don’t teach the process, so you’ve got somebody now who let’s say has been diagnosed with cancer and is on their phone and they’re scrolling through social media and everything looks the same. And of course the algorithms learn who you are. Next thing you know, there’s all of these like pseudo-treatments popping up. It all looks the same. Somebody who says that acupuncture can be used to cure cancer can feel the same, from someone who doesn’t understand the process of science, as a medical fact. And so the process is the process of critical thinking. My class everything is open note. The quizzes are open note. The exams — and I say open note, they’re also open online, because I know for the rest of their life they’re gonna have resources available to them; I want them to be good consumers with that information, which to me requires metacognition and critical thinking and information literacy and all those skills that I’m trying to teach them.

      Eric Cross (08:58):

      You’re basically taking what … we’ve taught science for so long. And more recently, it’s changed to more focusing on skills. At least in K through 12. But a lot of it was just memorization of a ton of different things that now we can pull up our phone, go on the internet. You can pull up a lot of those facts. But those facts don’t necessarily translate to actual real-world skills. When I listen to… I kind of make this analogy sometimes: students say … it’s funny, I have 12-year-olds that say this. They go, “How come they don’t teach us how to do our taxes?” And you know they’re regurgitating what they hear from adults, right? “Teach us real-world skills!” And I was like, really, if we taught you right now how to do your taxes, how many of you would really be like, “Oh, this is an awesome lesson! We’re really engaged!” But their point is that “I wanna learn something that I could actually use later on, that’s that I’m gonna carry on.” And in your course, you’re talking about these skills that actually can apply. Like you said, if I had cancer and I’m looking at different types of medical procedures, do I have the skills to really be able to evaluate and make informed decisions on that? And that’s, that’s not something that I’ve seen explicitly taught really anywhere. And I hadn’t heard anybody talk about it, really, until I heard your session, where you’ve kind of unpacked this, and over the last couple of years, have created some programs or resources for educators, where they can take this into their classroom. So what were some of those skills, again? What were were some of the skills that you thought, “I wanna make sure that my students can walk out and they know how to do this and apply it to maybe several different fields”?

      Melanie Trecek-King (10:35):

      Oh, that’s a really good question. Because the whole thing was a process for me. Like, when I finally let go of Intro Bio, I was so glad to see that class go, by the way. ‘Cause I just felt like I was beating a dead horse. So when I let go of it, I thought, “What do they need instead?” And for me, what I realized was I was trying to make the class I would’ve wanted to take. I realized the things that I personally didn’t know, that my own education maybe let me down a bit. But things that I thought were important. So then I took all of those, synthesized them, tried to figure out the best order. The class is currently in its third iteration. And I hope every iteration is an improvement. But I’m thinking about the students that I taught before the pandemic. It was Intro Bio. Up to just maybe the couple years before the pandemic, and during the pandemic, we had a new virus and we had a new vaccine and we had new treatments. There was hydroxychloroquine and there was ivermectin and then there’s masks. Are masks effective? Well, you know, in what circumstances? What kind of mask? There are all of these questions. And that whole thing was we saw science playing out in real time.

      Eric Cross (11:50):

      Absolutely.

      Melanie Trecek-King (11:51):

      And so were my students able to follow that? And then what happened in that process is that science became politicized. And in a time where things are uncertain and we need answers, ’cause it’s scary, people want certainty and science doesn’t tend to provide that. Especially when it’s just starting out. And then when it becomes politicized, people decide that they’re going to — it’s not necessarily a conscious decision — but they retreat into what people in their camps are saying or their groups are saying. Which actually leads me to one of the more important parts of information literacy skills in there, which is most of our knowledge is shared. We tend to have overinflated senses of what we individually know. And studies actually show that with Google, if you have access to Google, you think you’re smarter than if you don’t have access to Google. But we all have access to knowledge in our communities, and that’s one of the reasons humans are so successful, is that we can each specialize in different things and share our expertise and become greater than the sum of our parts. The problem with that, of course, is that we forget what we don’t know, and we assume that we know what the community knows. And so recognizing the limits of your own knowledge and how different communities produce knowledge, like the different epistemic processes that communities use to come to knowledge. When it comes down to it, an important part of knowing is knowing who to trust, right? Knowing where the source of knowledge lives. And in order to do that, you have to understand the processes that they’re using to come to that knowledge and the limits of your own knowledge. And then how to find who has that knowledge so that you can use that to make better decisions.

      Eric Cross (13:38):

      So, when I hear what you’re doing with your college students, and I think about what I’m doing in the classroom, in the middle school, we are really focusing on literacy as skills. Reading, writing, speaking, listening. And then when I think of the next step of the journey, your information literacy and the literacy you’re teaching is really the application of those things in the real world. And the examples that you gave are very critical examples. Evaluating claims about Covid. Making informed decisions about a medical procedure that you might need. And we all get that applied to us. We’re scrolling through social media and somehow social media is listening. It’s figuring out exactly what I’m doing, because all of a sudden the ads are telling me … how did you know I was alking about KitchenAid mixers now? I just said KitchenAid mixers and it’s gonna show up in my feed! But <laugh> I take that in the same way from the same place that I take in maybe an oncologist. So it’s it’s coming through the same channels. So now I kind of wanna pivot. So we’ve talked about what you’re doing, why you’re doing it, the connection between “am I really teaching the skills that my students need in the science class? Is it really critical thinking explicitly or is it just kind of implied?” Now I wanna ask you how you do it. What’s the annotated, abbreviated kind of syllabus of your course?

      Melanie Trecek-King (15:03):

      So the course is called Science for Life. And the premise behind it is the kinds of skills and understanding of the process of science that they would need to make good decisions to be empowered in a world based on science. And so the very first lecture, I say, “OK, I’m gonna tell you a story and I just want you to listen to the story. And at the end I’m gonna ask you why I told the story.” And the story that I tell them is some of the history of the witchcraft trials in Europe. And I start with the Malleus Maleficarum, or the Hammer of Witches, from the Pope, and about how people would accuse witches of causing birth defects or storms or crops dying. And, the best evidence that they had to absolutely know somebody was a witch was if somebody accused them, and then if they were accused, if they confessed. OK? But the problem is, to get them to confess, they would torture them. Roasting over coals, or splitting until somebody broke. And so I tell my students, “OK, this was absolute proof that someone was guilty of witchcraft. I don’t know about you; I would confess to anything, right? Make it stop!” So this is where I get to ask students, “Why would I ask you this? Why would I tell you this story? And traumatize you on the very first day of lecture?” And they see the reasoning, right? They thought they had evidence. The question was, is that good evidence? And so, you know, I’m getting students to have a basic understanding of epistemology, right? Without calling it that, or without going into all of the philosophical background of epistemology. Apply this to your own reasoning. What are you wrong about? Well, you probably wouldn’t know. OK, how would you know if you were wrong? Like what kinds of things do you feel that you’re so right about? How good is your evidence for that? So what I want them to do is internalize the thinking about thinking, and analyzing how they come to conclusions, and proportioning how strongly they believe. Their confidence in how right they are. So I think starting with that kind of misinformation, and getting students to internalize that process is important. But I think the example is really useful, because most of my students don’t believe in witchcraft. Right? So it’s not an issue that would immediately threaten them in some way. So when, when a belief is tied to identity or how we see ourselves or is really important to us, then it’s very difficult to be objective about that belief. And so by starting with witchcraft, it’s not triggering. I get them to think about thinking and practice that muscle so that when we get to those more important issues, they have the skills they need to evaluate them.

      Eric Cross (17:55):

      So would it be fair to say that your Science for Life class is really applied scientific thinking for the real world?

      Melanie Trecek-King (18:01):

      Absolutely. That’s the idea. I mean, science is too good to keep to ourselves, right? And it’s everywhere. So how can you understand the world through a scientific lens?

      Eric Cross (18:10):

      What are the nuts and bolts of how you teach your students these strategies? What do you do? What are some strategies and techniques that we can maybe share with listeners? And then where I want to go after that is I wanna ask you, how early do you think this can be started? So lemme start off first with, what do you do?

      Melanie Trecek-King (18:28):

      So I use three different strategies. One is, I provide students with a toolkit. And the toolkit is one that I created and it is like my one toolkit to rule them all. It is trying to apply critical thinking and science reasoning all together in one place. So that if students are met with a claim, they’ve got the toolkit with an acronym. They can now start and have somewhere to go. In that if I gave you a claim and said, “Just critically think through this claim,” I mean, that’s a mighty task. But if you have a structured toolkit, then it’s hopefully a systemic way that’s helpful. The toolkit is summarized by FLOATER. I have published it on Skeptical Inquirer. It’s free. So it’s Falsifiability, Logical, Objectivity, Alternative Explanations, Tentative Conclusions, Evidence, and Reproducibility. So I provide students with a toolkit. The next thing I do is I use a lot of misinformation in class. Back to what Carl Sagan says: What I heard was we should use pseudoscience to teach students the difference between a pseudo-scientific process and a scientific process. So, I use science denial, conspiracy theories, and give my students a lot of opportunities to practice evaluating claims with the toolkit. And the other thing I do is, I use inoculation activities. So inoculation theory is based on William McGuire’s original research in the ’60s, which is basically like a vaccine analogy. Where you can inject a small amount of a virus or bacterium into the body, so that it creates an immune response, so that it can learn the real thing. And so in the real world, it can fight it off. Inoculation theory does the same thing, but with misinformation. So, what we can do is, in controlled environments, expose students to little bits of misinformation so that they can recognize it in the real world. There’s different kinds of inoculation, but I’m a big fan of what’s called active and technique-based inoculation. So technique-based means that students are learning not the facts of misinformation, not factually why this thing is wrong, but about the technique used to deceive. So maybe the use of fake experts. Or maybe the use of anecdotes. Or the use of logical fallacies. The other part of that is active, which is where students create the misinformation. So for example, my students, just now, we finished covering pseudoscience. And I teach students the characteristics of pseudoscience. And basically we have fun with it. Where they pretend to be grifters and they sell a pseudoscience product. And so they have to make an ad like they’d see on social media, using the different techniques. And the point there is that it’s supposed to be funny, right? And lighthearted. But in a real way, by using the techniques used to sell something like pseudoscience, it’s opening their eyes. You can’t unsee how every alternative product has, “it’s an all-natural and used for centuries and millions use it and look at this person who says, ‘Wow, it worked for me!’ And it’s certified by some society that doesn’t exist, but this doctor behind it says that it’s really great!” I mean, it’s all the same stuff. So they create the misinformation using their own techniques.

      Eric Cross (22:02):

      That’s one of my favorite things that you’ve talked about, and I want to dive in that a little bit more. But when you’re teaching the toolkit, FLOATER, what does that look like in the classroom, when you’re actually breaking all of those things down? What does it look like as you’re walking your students through this, and you’re kind of coaching them on all of those different things? ‘Cause I feel like some things might be like, “Oh yeah, I got that.” And then some of them might be, “Oh, what is that?”

      Melanie Trecek-King (22:24):

      Yeah, it takes me probably a good solid lecture to get through the basis of the toolkit. But then over the rest of the semester, I’ll spend more time going into different parts, different rules, a bit more in-depth. So, for example, logical fallacies and objectivity. So the rule of objectivity basically states that you need to be honest with yourself. I’m gonna quote Feynman here, so: “The first principle is that you must not fool yourself — and you are the easiest person to fool.” We don’t tend to think that we can be fooled. But of course we can. So actually, if you wanna talk about it, I start class by fooling my students.

      Eric Cross (23:03):

      Wait, what do you do? What do you do for that?

      Melanie Trecek-King (23:05):

      Oh, so this is really fun. Day 1 of class, after the syllabus, I tell my … so you’re in my class now, Eric. “So I have a friend, and she’s a psychic. She’s an astrologer and she’s pretty good at what she does. I mean, she’s got books and she’s been on TV and stuff. She knows I teach this course about skepticism. And so she’s agreed to test how effective she is by providing personality assessments to students in class. So if you wanna participate, what I need from you is your birthday, your full name, answer a few questions. Like, if your house was on fire and you could take one thing, what would it be? Or if you could get paid for anything to do anything for a living, what would it be? Um, there’s a third one. Oh! If you could have any superpower, what would it be?” So the next class, it’s usually over a weekend. The next class I say, “OK, I’ve got your personality assessments back, but remember, we wanna test how effective she is. So in order to do that, I need you to read your profile as quietly as possible. And then I’m gonna have you rate her accuracy on a scale of 1 to 5. OK? So close your eyes; rate her.” Over the years doing this, it’s about a 4.3 to 4.5 out of 5. They think she’s pretty accurate. OK? “So now, if you feel comfortable, get with a person next to you. And I want you to talk about what parts of the personality assessment really spoke to you and, and why, and why you thought she was accurate or not.” And it takes them 5, 10 minutes before they realize they all got the same one. So, this is not my original experiment. It was first done by Bertram Forer in … I think it was the ’50s. And it’s done in psychology classrooms. James Randi made it famous. But the personality assessment itself is full of what are called Barnum statements. So, named after P.T. Barnum. These are statements that are very generic. So, “You have a need to be liked and admired by people. You are often quiet and reserved, but there are times where you can be the life of the party.”

      Eric Cross (25:13):

      How do you know this about me, by the way? This is a — I feel like you know me right now.

      Melanie Trecek-King (25:17):

      “There are times where you’ve wondered whether you’ve done the right thing.”

      Eric Cross (25:19):

      This is getting weird.

      Melanie Trecek-King (25:21):

      I’m just on fire, right? So these are Barnum statements. They’re the basis of personality assessment.

      Eric Cross (25:29):

      Mel, can I pause you right there? You said Barnum. Is that the same Barnum, like Barnum & Bailey Circus?

      Melanie Trecek-King (25:34):

      Yeah. P.T. Barnum, who didn’t actually say “There’s a sucker born every minute,” but we attribute him with that kind of ethos. These statements though, if you read a horoscope or even like personality indicators, like the MBTI, it is basically pseudo-scientific. And it ends up with lots of these Barnum statements. They produce what’s called the Barnum Effect, which is, “Wow, that’s so me! How did you know me?” I could even do more. Like, you have a box of photos in your house that need to be sorted. Or unused prescriptions. And these can apply to nearly everyone, but they produce this effect where we go, “Wow, that is so me!” Right? So by fooling them this way, I get to … well, so the next thing is, “Yes, I lied to you. And I’d like to tell you I won’t do that again. But I’m not going to, ’cause I might. So be on your guard.” But I did it for free. And why did I do it? “I did it because I could tell you ‘I could fool you,’ but you wouldn’t necessarily believe me. So I fooled you, so that you would learn what it feels like to be fooled.” It’s not fun. But we’re gonna make a joke outta this. And students are almost never upset about this ’cause it’s a fun process and they’re all fooled. And again, the point is, I didn’t disprove psychic powers. I didn’t just disprove psychics with this exercise. But I did show you how easy it was to fake. So if somebody is gonna tell you that they can know these things about you through some way, hopefully the evidence they provide should be stronger than something that’s easily faked. Right? Extraordinary claims require extraordinary evidence. If you claim to be able to read my personality based on my birthdate, then I need more than something that you can be taught to do in 15 minutes. So, I fool them to convince them that they could be fooled.

      Eric Cross (27:27):

      You’re giving them a practice scenario for thinking. And I was thinking about basketball. I grew up playing basketball. And my coach would have our own team be the defenders of the next team we were gonna play, so that we can be prepared for the defense. We were gonna see. Now, when I’m thinking about education, and what you just said reminded me of this, it’s like we’re often just teaching offense. We’re always teaching the plays. We’re always teaching what to do. But we rarely teach defense. What happens when someone comes towards you and, and they challenge you or they come at you with claims? How do we evaluate this? And I think in pockets we do it. We do claim-evidence-reasoning. We present claims and evidence and reasoning. But we don’t always have practice defending them. And I think there’s great resources. There’s Argumentation Toolkit and there’s all these awesome resources that do this. But does that fit? You’re kind of having them practice defense?

      Melanie Trecek-King (28:26):

      Yeah. You know, that’s brilliant. I never considered that analogy. But, yeah, in the real world, you don’t just get to always try to score all the time. Someone’s gonna challenge you and give you a claim that maybe you haven’t heard before. So how do you think through it?

      Eric Cross (28:41):

      Yeah. And you become better. So now I’m thinking about how early could we start doing this? For one, I love the idea of lying to your students, because I do that. And it’s just such a fun scenario. How early could we start implementing these strategies or these ideas or these toolkits? In your mind, what do you imagine? How early could we start this with young people?

      Melanie Trecek-King (29:07):

      Yeah. I’m so glad you asked that question, ’cause honestly, by the time they get to me, it’s almost too late. And I don’t wanna say it’s too late, ’cause it’s never too late. But, oh, we need to start so much earlier! That example that I gave about the selling pseudoscience argument? I have a wonderful colleague, Bertha Vasquez, who’s a middle school teacher in Miami and the director of TIES at CFI. She did this with her middle school students. And quite frankly, their examples were just as good, or in some cases better, than my college students. And they had so much fun with it, too. And she just said that, you know, <laugh>, they actually are more savvy with the kinds of things that they see online than we — I don’t wanna say give them credit for. But almost that we want to believe. My students give me examples of things that are from corners of the internet that I didn’t know existed. And quite frankly, that’s probably a good thing for my own mental health. But students are on there too, like middle school students, and we need to prepare them for the kinds of things that they see in the wild.

      Eric Cross (30:13):

      So in middle school, definitely. Now, you’ve also done some work in high school as well, right? In Oklahoma? Did you do some. …?

      Melanie Trecek-King (30:17):

      Yeah.

      Eric Cross (30:18):

      …some work with high schoolers? What was that like? Did you see any impact there?

      Melanie Trecek-King (30:21):

      So I didn’t actually do it in Oklahoma. I have taught the course … actually, you were talking about younger kids. I’ve taught the course to high schoolers in my area that are parts of dual enrollment. And they absolutely ate up the curriculum. And they were wonderful, wonderful students. And it was completely appropriate for … they were juniors, actually. But the course has also been taught in Oklahoma, through a dual enrollment program as well. And it was a small sample size. But we have pre-post testing that showed that it improved their critical thinking, their acceptance of science. But anecdotally the head of the program there said that in his years doing this, he’d never seen a course that helped them improve in their other courses so well. So, I felt very rewarded by hearing this. But apparently their critical thinking skills and information literacy skills helped them succeed in their other courses that they were taking. And I love that the students were transferring those skills to other classes. That’s the whole point.

      Eric Cross (31:23):

      And that’s a big … I think that what you just said is really the core, especially of what we’ve been talking about this season: What you’re talking about and what you’re teaching can transfer and supports literacy. And this is an example of science doing that across all other content areas. So I think that that’s huge, that that was said. What do people say about this course? I know I went on your website, and I looked at some of the comments that some folks were saying, and I know it’s just a snippet, but what do you hear from the education world about this? Because I don’t see it in many places. I see it kind of embedded, sprinkled into different content areas. But you’re actually teaching it explicitly. Do you tend to find positive feedback, overwhelmingly? Or do you get pushback on on some of this? What’s it been like for you?

      Melanie Trecek-King (32:16):

      I think the biggest pushback — and it’s good pushback, and I would agree entirely — is with inoculation activities, you do need to be careful to, when you debrief students, you wanna tell them why you did what you did and to use their powers for good and not for fooling other people. And I think importantly, for not putting misinformation out into the wild without having context around it. So if you do these kinds of inoculation activities, like if you have your students create pseudoscience ads, don’t just let them put them on social media. Obviously, you can’t control everything that they’re doing. But explain to them why you wouldn’t wanna do that. As far as everything else, I’ve heard really great feedback. You’re referencing my website. So, when I put together the course, I was trying to find resources for students to read. Textbooks are ridiculously expensive and I couldn’t find anything that I really wanted students to buy. So I just started writing, and I put it on my site. I have a site that’s basically the core of the curriculum. More in progress. And then I’ve got some of the topics that we explore and those are all assigned readings. My students are captive, in that I know they want a grade, and for four months they have to sit with me for the entire semester, in that I’ve specifically ordered the content in a way that would be most conducive to them learning these things. On the internet, though, and on social media, ’cause I post on there as well, people come in from all kinds of entry points, and so the goal would be to have them start at the beginning and go to the end. But people … I’m pleasantly surprised that there is an audience for critical thinking and science literacy content out there. And so that really warms my heart. But I am doing more and more for educators. And so I have a section for educators. I put content on there. I put assignments, the assignments that we’ve talked about and more, are on there. And the educators that I’ve had use it have just been really wonderful. Like, I hear great things. If I might, the biggest issue that I’m having is actually reaching educators. I’ve gone to — I met you at NSCA, actually, that was only last summer.

      Eric Cross (34:30):

      Oh, wow. Wow.

      Melanie Trecek-King (34:32):

      Right?

      Eric Cross (34:32):

      Yeah, you’re right. It wasn’t even a year.

      Melanie Trecek-King (34:35):

      Yeah, I think it was like July last year. So, um, you’ve been to the conferences. And I just went to the last one as well. But I have yet to figure out a way to really get in front of enough educators to share the content. So if anybody’s listening and is interested in learning more, please let me know! <Laugh>

      Eric Cross (34:52):

      Yes. And we talked about your website, but I didn’t say what the website was. So it’s ThinkingIsPower.com.

      Melanie Trecek-King (34:57):

      Yes.

      Eric Cross (34:58):

      And on there, there’s tons of resources. There is the toolkit. And it’s all free.

      Melanie Trecek-King (35:06):

      Yes.

      Eric Cross (35:07):

      And there’s a dope t-shirt on there that I just bought today, that Melanie’s actually wearing right now. It says, “Be curious, be skeptical, and be humble.” And I love that. Because I think one of the things that we can’t forget about teaching people how to think and critically evaluating information, sometimes those conversations can become very dehumanizing. And what I mean by that is it sometimes can become, like, intellectual sport, where we forget that there’s a human being on the other other side. And we lose that empathy and compassion. We can kind of see that. It just becomes this intellectual jousting and arguing. And one of the things I know about you, and when you talk about this or you talk about the work that you do, and even the shirt that you’re wearing, there’s this, “be humble.” There’s this human that is never lost in this. And you said it, too: When you’re teaching your students and you’re equipping them with all of these intellectual skills and all of these tools, to use it for good. So to maintain your humanity, to maintain your character, and then to use it to edify and lift people up, not to go out and do harm. That balance, I think, is so, so important. So it’s something that I really appreciate about you and how you teach.

      Melanie Trecek-King (36:19):

      I appreciate those kind words. Actually—

      Eric Cross (36:21):

      Oh, of course!

      Melanie Trecek-King (36:22):

      —and if I might, I sometimes see people using critical thinking like a weapon. It’s like, “I have learned fallacies and I’m just gonna use the tools of critical thinking to tell you why you’re stupid, or why you’re wrong, and why my position is right!” But real critical thinking involves applying those same standards to your own thought processes. And even something like argumentation: the goal of our argumentation is not to BE right; it’s to GET it right. And so we’re on the same team. If we’re arguing about something, if the idea is in scientific argumentation we’re trying to find the truth, which one of us is making a better argument based on the evidence? Can your perspective help me see my own blind spots and vice versa? And the more different perspectives that we have, the more able we are to find whatever reality is. But we are in this together. And so, yeah, I think … I’m glad to hear that that’s coming through. But if you don’t have the kind of humility that says, “You know, I could be wrong,” then you’re never gonna change your mind anyway. So having the humility to say, I’m wrong. <Laugh>

      Eric Cross (37:33):

      Yeah. You end up just seeing people just defend turf, as opposed to support “look for truth.” And I know for me, my own education journey, I end up with more questions than answers anyways. So I go in trying to find an answer for something and I end up with 10 more questions. And I go, “OK, this is kind of how it is.” You go down this rabbit hole and you just end up with all these different questions. And it forces the humility, because you’re like, “I don’t know! I think this is what it could be, but it could also be these other answers or explanations. So this is just where I’m at, based on what we know right now, at this present time, which might shift.”

      Melanie Trecek-King (38:07):

      And that sounds reasonable. Yes. Which might shift. Yes.

      Eric Cross (38:11):

      And especially for us as life-science biology teachers, our content is something that definitely shifts. I know some of the things I teach now are not things that I learned when I was even in middle school. Just because things evolve. They change. We learn, we get new data. That’s just the way it is.

      Melanie Trecek-King (38:24):

      <Sighs> And Pluto is no longer a planet.

      Eric Cross (38:26):

      I know. Rest in — well, no, Pluto’s still there. Yeah. It’s no longer a planet. But that was one part of my kindergarten memorizations <laugh> is Pluto being in there.

      Melanie Trecek-King (38:36):

      Gotta change your mind.

      Eric Cross (38:38):

      I know. Any words of advice for science educators out there who want to focus more on honing these critical thinking skills and strategies with their own students, but they don’t know where to start? Where would you point them? Or what advice would you give them?

      Melanie Trecek-King (38:52):

      I think start with what you want the students to know. And not necessarily the FACTS that you want students to know, but start with the skills that you want them to know. And then really be honest with your process. When I designed Science for Life, I started with, “these are the skills that I want students to know.” And everything was in service of that. So this sort of backwards design, I think, helped me follow a path that was more likely to be useful, if that makes any sense. But it really required doing it all over again. So don’t be afraid to question the things that you’re currently doing, even if that’s all you’ve been taught or all you know.

      Eric Cross (39:41):

      What I’m hearing is, don’t be afraid to question your own assumptions about what you’re doing. And don’t be afraid to adapt or change or modify. Kinda, pivot. Be flexible.

      Melanie Trecek-King (39:51):

      Yes, be flexible and pivot. And this is where I’m in a different position than middle school and high school educators. Because I have complete freedom over what I teach in my class.

      Eric Cross (40:01):

      Sure.

      Melanie Trecek-King (40:01):

      At the end of the semester, I always joke with non-majors that there’s nothing they have to know, which actually gives me a lot of flexibility, because I could teach ’em a lot of different things. So if there are things that you have to teach students, obviously that’s one thing. But I personally think that the way that we’ve been teaching science needs a refresher. A rethinking. And so I would say, “If you want your students to learn science literacy, honestly ask, what does that mean to you? And what would that look like to get to that point?” For me, though, it was also keeping in mind that maybe I didn’t already know the best way to do that.

      Eric Cross (40:43):

      One of the things you mentioned earlier is trying to reach out to educators. And I know that when we work together, it’s a force multiplier. And what you’re doing is developing skills. And there’s these skills that are happening right now in academia that you’re doing. And then how do we transfer that into middle and high school. Or, I’m sorry, middle and elementary school, high school. We need to get more people into this conversation to kind of brainstorm and figure that out. We have a Facebook group, Science Connections: The Community, where we have educators that gather. That can be one place we start the conversation. And again, I know on your website you’ve been super active on social media; you’ve grown your presence on Twitter and all these different places, engaging with folks. Which is awesome. ‘Cause I know I see your posts and I’m saving the things that you’re posting and I’m thinking of ways that I can do it in my classroom. I’m gonna take that product. By the way, is that on your website, the lesson that you do with the product?

      Melanie Trecek-King (41:43):

      No, actually. So the article, “How to Sell Pseudoscience” is … I know Bertha Vasquez wrote up a version of it.

      Eric Cross (41:50):

      Maybe we can grab that. ‘Cause we might be able to put that into the show notes for folks, because she’s a middle school educator. If there’s already something that’s been done for teachers like us, we’re like, “Yeah, let me get that and let me remix it and make it my own!” if there’s already a exemplar out there.

      Melanie Trecek-King (42:04):

      Yeah, she’s done it. And so I will absolutely share that with you.

      Eric Cross (42:08):

      So, all season long, we’ve been talking about science as the underdog. We kind of framed it, you know, science oftentimes takes a back seat to math and English. It’s kinda the first thing to go. Or the first area where time can get cut. Because of what gets tested gets focused on, oftentimes. And then in addition to that, when you’re a multi-subject teacher, elementary science isn’t just one thing — it’s every field. You know, you’re a biologist, which is different than a geologist. And when you’re teaching every subject, that’s a lot. And you might not have had a science class for years. And the realities that we’re seeing over and over with different researchers and practitioners is that science could actually enhance literacy, and building those skills. And I think you really talked about it with the critical thinking skills. Those can transfer. Or the administrator that said, “This is one of the only courses I’ve seen where it transfers to other areas.” Could you share maybe with our listeners, just any advice for advocating for science in their own world?

      Melanie Trecek-King (43:13):

      Wow, I’m not sure I’m qualified to answer that question! One of the things that comes to mind though — because I was listening to your last episode and educators … I honestly didn’t realize how little time they had for science. And how often science was then the first to go, to allow room for other subjects. But science overlaps with a lot of other issues. And so I feel like there could be a way to bring in science when teaching these other subjects. So, for example, argumentation and logical fallacies are easy to apply to reading and writing. Information literacy, and being able to find good information online, teaching students how to laterally read, to be able to check a source, or how to use Google effectively, to put in neutral search terms to find sources, or teaching students how to recognize the characteristics of conspiratorial thinking: All of these things can overlap with so many other subjects. So the scientist in me is a little biased towards science being important enough to do this. But try to bring it into the other subjects. It doesn’t have to be completely separate.

      Eric Cross (44:43):

      So integrating science into other things. And I … big believer. And a hundred percent agree with you. Now I’m gonna ask a question that kinda like takes us backwards. You shared an app with me when we first met that I thought was really cool. And I know it’s a friend or colleague of yours. But as a middle school teacher, I thought it was great, because it was something that my students could download and practice some of the skills that you’re talking about. Would you talk a little bit about the cranky uncle? Is it the Cranky Uncle app?

      Melanie Trecek-King (45:17):

      Cranky Uncle.

      Eric Cross (45:18):

      Could you share a little bit about that?

      Melanie Trecek-King (45:20):

      Yeah. Cranky Uncle is awesome. So, Cranky Uncle is the brainchild of John Cook, who is the founder of Skeptical Science and the author of the 97% Consensus study on climate change. Cranky Uncle … so he’s also a cartoonist. And Cranky Uncle is a cartoon game where … I don’t even have to explain who Cranky Uncle is to my students. Everybody inherently gets the, the character, right? So he’s like the guy at Thanksgiving that you don’t wanna talk to because he denies climate change and he’s just really cranky. But Cranky Uncle uses the techniques of science denial, which are summarized by the acronym FLICC: So it’s Fake experts, Logical fallacies, Impossible expectations, Cherry-picking, and Conspiratorial thinking. So he uses those techniques. Again, this is technique-based inoculation. So they recognize the techniques in the game, and you earn cranky points. And as you make Cranky crankier and crankier because you’re recognizing his techniques, you learn the techniques of science denial, and level up and open up other techniques. This is another one of those examples where climate change has a lot of science behind it, right? And if you wanted to get to the science behind climate change for any particular issue … so let’s say it’s cold today, so I’m gonna say there’s no climate change. OK? If I’m gonna unpack that at a factual level, and with science, we could be here for a while. But if I told you, “That’s like saying, ‘I just ate a sandwich so there’s no global hunger.’” OK? So that’s a parallel argument. Humorous. Love to use this kind of argumentation, ’cause it makes for some … I mean, it’s funny, but you get the point. It’s an anecdote. And anecdotes aren’t good evidence. So just like that, you could teach the technique of using an anecdotal fallacy for climate-change denial. So, I have my students play this game. You could do it when you’re studying argumentation. You could do it for science denial. I use an inoculation extension with that, where I have my students pretend that … um, actually, back up for a second. So I teach a class on critical thinking. And at the end of semesters I would get emails from students on, well, they’re failing the class, but they really shouldn’t, for all of these reasons. And reading these emails, I’m like, “If you think that’s a good argument, you clearly didn’t learn what I was hoping you would learn.” So I now have my students, early in the semester, after they play Cranky, pretend that it is the end of the semester and you’re failing the class and you’re failing because you didn’t do the work. Use at least four of the fallacies from class to argue for why you should pass. So they have to put it on a discussion forum, and they’ll say things like, “Well, if you fail me, then I won’t get into graduate school and then people will die and it will all be your fault.” Or, “My dog died, and so I was really sad.” Or, um, “You’re just a terrible teacher. And you’re short. So I don’t like you.” Or that kind of thing. So, oh, they love to attack my character. It’s really funny. But it’s supposed to be funny. And the point is, the students are using those arguments, they’re using the fallacies, to argue for something. And so by creating that misinformation themselves, they learn how those fallacies work. But taken together, I mean, everything that we just talked about there, Cranky Uncle, and the fallacy assignment, or whatever iteration you want that to be in, that doesn’t have to be in a purely science unit. Right? That could be sociology. It could be argumentation. It could be English.

      Eric Cross (49:01):

      Absolutely. That could be totally a prompt in an English class. And practiced in there. And then this could be an interdisciplinary thing, going back and forth between English and and science. Just having these discussions and looking at it from different angles. And you’re practicing the skills in two different contexts. So you get into argumentation. And then that app, I know I had fun with it. And the questions on there definitely resonate with people in my own family. I’m like, “I feel like I’m talking to exactly somebody that I’m related to right now.” <Laugh> Melanie, anything else that you wanna share, or discuss or highlight, before we wrap up?

      Melanie Trecek-King (49:39):

      So we could talk about lateral reading, if you like. ‘Cause I know a lot of educators use the crap test.

      Eric Cross (49:45):

      Please, please, please talk about that.

      Melanie Trecek-King (49:47):

      So, when evaluating sources, a lot of educators teach what’s called the CRAP test. And I wish I remembered what it stood for. But basically what you do, a lot of us have been taught when you go to a website, to figure out if it’s reliable, you wanna go to the about page. Read the mission; see who they are; maybe read some of the content; evaluate the language. So is it inflammatory? Are they making logical arguments? Are the links to reputable sources as well? And the problem is that if a site wants to mislead you, they’re not going to tell you that it’s a bunk site, right? They’re just gonna do a good job of misleading you. And so, what you wanna do instead … the CRAP test basically is an evaluation of a site. And that’s what’s called vertical reading. So you’re looking through a site to determine if it’s reliable. Uh, I think his name’s Sam Wineberg at Stanford, proposed something called lateral reading. Where, instead of on the site, what you wanna do is literally open a new tab and into the search engine type the source. You could do the claim, too. And then something like Reliability or FactCheck or whatever it’s that you’re checking, and then see what other reputable sites have to say about it. So, in their study, actually, they did a really interesting study where they compared professional fact checkers to PhD historians to Stanford undergrads. And they evaluated — I wish you could … um, there’s two pediatrician organizations. One’s like the American Association of Pediatrics and the American Academy of Pediatricians, something like that. They’re very similar sounding. So you give them to students. I do this with my students as well, the same study. So I give my students those two websites. And I say, “Which one of these is more reliable?” And they do exactly what most of us do, which is spend time on the site looking around. And most of the time, if not nearly all the time, they come to the wrong conclusion. And so then I tell them what lateral reading is: “OK, instead of looking through the site, open a new tab, search the organization and reliability.” Something like that. And it takes probably 30 seconds before they realize one of them has been dubbed by the Southern Poverty Law Center as a hate group. As opposed to the other one, which is like a hundred year old huge pediatrician organization that produces their own journals and so on. But nearly all my students are fooled. And in the study, none of the fact checkers were fooled. I’m gonna get the number right. It’s something like 50% of the historians and 20% of the Stanford undergraduates got the correct answer. And they spent a lot more time on it. So it’s a great way to teach students how to use the power of the internet to evaluate sources much more quickly and, effectively. And yes, use Wikipedia, right? Wikipedia is not a final answer, but Wikipedia is actually pretty accurate. So if Wikipedia is the first place you stop, then yes, go there, see what Wikipedia says, and then follow some of their sources.

      Eric Cross (52:47):

      What popped in my head was like, Yelp reviews for websites. That almost sounds like what it was. It’s like when I search for a product, I don’t go and read the product description marketing. ‘Cause that’s all designed to sell me on something. But I’ll go and look in Reliability, if it’s like a car, or just other sites to cross-reference. And that sounds like what you were talking about is like cross-referencing. Seeing what FactChecker [sic] said about this site, versus seeing what a site says about itself.

      Melanie Trecek-King (53:14):

      Well, that’s a great analogy. Because if I wanted to know if a product was effective, what the manufacturer says about the product, clearly there’s a strong chance of bias. Right? They’re going to be on their best, um, put their best foot forward. Versus, what do independent reviewers say about this product?

      Eric Cross (53:35):

      Yep. And I am known to research something to death. And I get something called “paralysis by analysis.”

      Melanie Trecek-King (53:42):

      Ohhhh, yeah.

      Eric Cross (53:44):

      And it’s so bad that even if I’m trying to buy, like, towels, I need to find the best-bang-for-the-buck towel. I have to defer some of these decisions out, because I’m on the internet for three hours now. I’ll be a pseudo-expert in towels, and thread count, and all of that stuff. But yeah, that maybe that’s just the science person.

      Melanie Trecek-King (54:03):

      I mean, I feel your pain. I do the same thing. <Laugh> It’s annoying. Like, it’s just towels. What does it really matter? But yeah.

      Eric Cross (54:10):

      Coffee! It doesn’t matter what it is. I just need to go, “OK, I have to use these powers for good. Otherwise I’m gonna be researching forever.”

      Melanie Trecek-King (54:16):

      I wanna say one other thing. So, again, this is a college class and I have a lot of freedom. But one of the driving philosophies behind the class is a wonderful quote in a book, Schick and Vaughn, How to Think about Weird Things. And they said, “The quality of your life is determined by the quality of your decisions, and the quality of your decisions is determined by the quality of your thinking.” And I know my students want a grade. But I’m really trying to teach them how to be empowered through better thinking. That’s where the name “Thinking is Power” came from. I mean, we say “Knowledge is Power,” but it’s not enough to know things. And there’s too much to know. So being able to think and be empowered to have your own agency and not fall for someone’s bunk is my goal for my students.

      Eric Cross (55:07):

      And doing that is gonna help them through the rest of their lives. Not be swindled, not be taken advantage of, be able to make better decisions. There’s so many benefits to building that skill. And I know your students have definitely grown and benefited. I’m sure you’ve heard, long after you’ve taught them, heard back from them and how they’ve applied that course to their lives. Melanie, thank you so much for being here. For a few things. One, for providing and filling this space where there’s such a need. Again, the critical thinking resources, the tools that you used, are so, so important. If we ever lived in a time where they were critical, it was really what we experienced during the pandemic in the last few years. We watched people’s information literacy and science literacy play out in real time. And we literally saw life-and-death decisions being made based off those skills. That highlighted, I think how important this is. And then, taking the time to generate resources for educators like myself, that we can take and adapt and put into our classroom and start teaching our students. ‘Cause like you said, by the time they get to you, they’re, they’re so far downstream or so far in a system that, depending on the teachers that they’ve had and the education system they’ve been in, may or may not have even touched on these things. They might have learned a lot of facts, but they may not have built their muscle to be able to critically analyze and interpret the world around them. And you’ve just — even the last year, it hasn’t even been a year since we talked the first time — I’ve watched your resources continue to grow, and you share them. And so I, on behalf of those of us in K–12, thank you. And thank you for being here.

      Melanie Trecek-King (56:49):

      Oh, well, thank you so much for this opportunity. Thank you for everything that you do, reaching out to other educators and for giving me a platform to hopefully reach other educators.

      Eric Cross (57:00):

      Thanks so much for listening to my conversation with Melanie Trecek-King, Associate Professor of Biology at Massasoit Community College and creator of Thinking Is Power. Make sure you don’t miss any new episodes of Science Connections by subscribing to the show, wherever you get podcasts. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners to find the show. You can find more information on all of Amplify shows at our podcast hub, Amplify.com/Hub. Thanks again for listening.

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      What Melanie Trecek-King says about science

      “Students carry in their pocket access to basically all of humanity’s knowledge at this moment in time. The question is: do they know what they’re looking for?”

      – Melanie Trecek-King

      Associate Professor of Biology at Massasoit Community College and creator of Thinking is Power

      Meet the guest

      Melanie Trecek-King is the creator of Thinking is Power, an online resource that provides critical thinking education to the general public. She is currently an associate professor of biology at Massasoit Community College, where she teaches a general-education science course designed to equip students with empowering critical thinking, information literacy, and science literacy skills. An active speaker and consultant, Trecek-King loves to share her “teach skills, not facts” approach with other science educators, and help schools and organizations meet their goals through better thinking. Trecek-King is also the education director for the Mental Immunity Project and CIRCE (Cognitive Immunology Research Collaborative), which aim to advance and apply the science of mental immunity to inoculate minds against misinformation.

      A woman with long blonde hair and a black top is shown in front of a blue background, framed by a circular graphic with an illustrated flask in the corner.
      A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

      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. 

      S2-03: Building meaningful student connections in the science classroom

      Promotional image for a podcast episode titled "Sharita Ware: Building meaningful student connections," featuring Sharita Ware and "Science Connections" branding.

      In this episode, Eric Cross sits down with Indiana State Teacher of the Year, Sharita Ware, to talk about how to successfully build meaningful student connections in the science classroom. Sharita shares her journey from a corporate career to becoming Indiana’s 2022 Teacher of the Year, and her passion for creating project-based lessons for her students. Together, Eric and Sharita discuss how educators can teach students to love science content by building strong relationships, adding in other content areas, and supporting students’ imagination. Explore more from Science Connections by visiting our main page.

      Download Transcript

      Sharita Ware (00:00):
      I try to create that equal playing field where there’s nobody’s voice, that’s more important than anyone else’s and try to make them all feel that what they have to say is important.

      Eric Cross (00:14):
      Welcome to science connections. I’m your host Eric. My guest today is Sheta where Sheta is the 2022 Indiana state teacher of the year. And in her 10 year career, as an engineering and technology teacher, she has dedicated herself to helping students build knowledge and skills for high school and life. Beyond. In this episode, we discuss how she inspires her seventh and eighth grade students to build problem solving and critical thinking skills through hands on real world and collaborative projects. She is as humble as she is knowledgeable and through our conversation, it was easy for me to see why her students feel successful under her guidance. And now please enjoy my conversation with Sharita Ware.

      Eric Cross (00:59):
      Can I start off by saying congratulations on teacher of the year. Thank you for the state of Indiana. Um, that’s amazing. So I, I, I did watch, uh, your videos, uh, short interviews, and then you spoke, was it Purdue? Yes. You were there. And so, uh, to see if fellow seventh grade, eighth grade science teacher out there being celebrated, like I was so excited, so yeah, I wanted to congratulate you on that and, and just kind of talk to you about like your teaching journey and ask you, uh, maybe just kind of start off with your story about what brought you into, into the classroom, especially the middle school.

      Sharita Ware (01:29):
      Classroom. So what happened is when I was working in industry as an engineer and when my husband and I got married, we decided that I was gonna, um, stay home with the kids because, you know, we wanted, um, our influence to be greater on our kids than, you know, the people that would be watching them, you know, because they would ultimately spend more time with them than they would with us. And, and so, um, I stayed home and when my youngest was going to be going to kindergarten the next year, I was like, okay, what am I going to do? Cuz I really don’t necessarily feel like I need to stay at home. Mm-hmm <affirmative> but um, I knew going back to industry would be a challenge just because in my field, I, I was traveling a lot before I got married and had kids.

      Sharita Ware (02:14):
      And so I knew that that wouldn’t really be conducive to again, raising children. So I, I get this email, my inbox for Woodrow Wilson, teaching fellowship at Purdue. And they were just looking for people in stem fields to go into teaching. And I was like, okay. And it was a national search, you know, I filled out the application, we had to go in and do some sample teaching mm-hmm <affirmative>. And I was picked as, as one of the, the teachers to go through the program. And I started off thinking I wanted high school. And the really cool thing about this, uh, program is that we had long observation periods at high school and at middle schools. And so we would go to a school and we’d stay there two or three weeks. And so it, it kind of gave you right. A little bit more insight to what happened on a daily basis. And after those observations, I was like, I like middle school better than I, uh, like high school. And so I just kind of went that direction and you know, the rest is history. So

      Eric Cross (03:19):
      I feel like our stories are similar because I went into teaching thinking I wanted to do high school because I like the maturity and you a little bit more sophistication, advanced things, but yes, middle school, I felt like I can, I could get them more upstream before and kind of help shape mm-hmm <affirmative> that experience for them? Because I feel like at middle school is really where they kind of decide like what they can do based on their experiences.

      Sharita Ware (03:39):
      I found in the middle school that the kids, I mean, they just, they clamor around you and they’re like, what are we doing today? You know? And they get so excited and, um, they’re, they’re just, I don’t know, I guess in some ways, just more hungry in the sense of like they’re willingness to, um, now sometimes they’re a little reluctant, but you know, their willingness just to try new things. And I think, um, my students really what I have found over the years that they have found a safe space and I hear the kids, you know, say to me so many times that, you know, it it’s safe. I feel, I feel safe in here. And, and it’s not something that in my mind I’m thinking about, oh, I need to make this a safe place. It’s just, I guess part of just who I am as a person has created this environment of, of safety and, and the kids recognize that, you know, I don’t play favorites. You know, everybody starts out mm-hmm, <affirmative> on equal footing. I, I don’t care what your backstory is. I don’t care how many times I see you in the hallway when I’m walking during my prep. You know, when you hit my room, I’m, I’m gonna treat you the same way on day one, that I treat everybody else.

      Eric Cross (04:54):
      You really understand how to build culture with, in, with your classroom, with your students. And, and you said they feel safe, but is there anything that you do that someone could like apply? And like you found that you’ve gotten a lot of just relational capital through doing these things, or is it just your personality? Like how, how do you build those connections?

      Sharita Ware (05:12):
      You know, growing up being a, a very quiet person. I, I think a lot of times my voice was ignored because I was the quiet kid in the back of the room. And oftentimes I became seen or heard because of my work, you know, in the beginning it was kind of like, oh, she’s just this quiet girl in the back of the room. And then, you know, the first essay was due or the first project was due. And then it was like, oh, you know, then you’re the person to be on, you know, people’s teams. And, and that, I don’t know, that always kind of bothered me because, you know, I’m thinking just because you’re not the loudest person in the room doesn’t mean that you don’t have something to say, mm-hmm <affirmative>, you just might not be talking all the time. You know? And, and so for my students, I just, I try to create that equal playing field where there’s, nobody’s voice, that’s more important than anyone else’s and try to make them all feel like that what they have to say, or what they have to contribute is, is enough, is good.

      Sharita Ware (06:14):
      Enough is important as…

      Eric Cross (06:16):
      It is, as it is. And there’s probably a lot of things that you do. But in addition to building these relationships, what do you do? Like how do you make your learning fun for students?

      Sharita Ware (06:25):
      I think, um, I’m also a little bit on the silly side. Um, we do a, a Barbie prosthetic leg project, and this was after trial and error of having the kids make full size prosthetic legs. And I try to make it as real world as possible, but with none of the children being amputee or, you know, having access to someone, it was really hard for them to really visualize what needed to happen. Mm-hmm <affirmative>. And so, um, I found this Barbie that had a prosthetic leg and I was like, well, LA, so I just started collecting Barbies and chopping their legs off <laugh>. And so I have this jar of Barbie legs. And so, and I said, you’re gonna make prosthetic legs. And I lay this jar of legs on the counter and the kids are like, like they gasp and then they crack up and then they’re like, okay, this lady’s crazy. So…

      Eric Cross (07:22):
      That’s when you take off your scarf and there’s this necklace of just Barbie legs that are just around and you’re like, I’m a middle school teacher and they go, oh, okay. I understand. Yeah. Yeah. It’s totally fine. Is this a lesson that someone that you made up or is it something that you’ve re remixed? Is it something that someone could do if they looked it up anywhere?

      Sharita Ware (07:38):
      Um, so I think teach engineering has the, the full size leg that the kids make. And that’s where I initially got it from.

      Eric Cross (07:47):
      Is that the website teach engineering?

      Sharita Ware (07:49):
      Yes. And, um, I, in fact, I get lots of ideals from there. Um, and I, I always usually tweak them, but it’s, it’s one of those things that kind of gets your brain going. And so it was kind of a mixture of, uh, project lead the way gateway to technology and the teach engineering. And I think the project lead the way had us making like braces, uh, for, um, kids with, um, like cerebral palsy or, or something like that. And the kids did okay with that project. Uh, but I wanted to go just a little bit, uh, deeper with it because part of what I was wanting them to do is that context and that connection, that human connection, because for me, it’s not just enough for them to make a project. Uh, before we start this prosthetic leg, I read them a story out of a Scholastic magazine, and it’s a, a teenage girl that lost her leg in a boating accident.

      Sharita Ware (08:42):
      And she was super active, um, playing sports and running. And, and so I was, you know, trying to get the kids to, you know, make that connection, someone close to their age. Um, and then how it’s not, it’s, it’s more than about her physical healing. It’s also about her mental healing and how she had to, you know, talk to herself to say that she could, you know, recover and, and come back from this and still go on to do all of the things that she was doing before. Um, and in some ways it’s kind of cool because, um, you know, she has a running prosthetic, she has a, a swimming prosthetic, and she has her every day with the pain and toils prosthetic. So just trying to, you know, help them to see that it’s more than just the, you know, the biomedical mechanical engineering aspect of the project.

      Sharita Ware (09:30):
      And so they have to design for comfort. They have to design for, um, swelling. And then, um, they also can, if they, if they want to, they don’t have to, if they want to, they can create their own backstory. So when they get there, um, we have a day where they are introduced to their client, so they get to meet their Barbie and, and then they get to decide if they want a backstory and, and then do their research based off of that. So if it’s someone that was a runner, then they can design a prosthetic running blade. So just, they have lots of, uh, flexibility.

      Eric Cross (10:04):
      The, that aspect of adding the narrative. It does so much for like listening to it on the outside. It one, it adds this humanity to, you know, what can sometimes just feel like it may be cold, logical stem. We’re just, we’re just doing things. We’re fixing things. We’re, you know, we’re discovering things, but really the stem has value when we’re actually applying it to, to, to serve humanity or our ecosystem or whatever it is. There was a, a coding, uh, class I was doing with my students and I showed them this app called be my eyes. And it’s for people who are visually impaired and it pairs them with a volunteer. And when they call, and there’s a whole huge pool of volunteers and I’m one of them. And when my, when it happens in class, I answer and it uses the FaceTime. So the person who’s visually impaired is holding up their phone and you see what they see and you tell them and real time what’s happening.

      Sharita Ware (10:54):
      Oh, wow. That’s so cool.

      Eric Cross (10:56):
      These are, these were the things I think for students that the story, the, the human part of it, mm-hmm, <affirmative>, it must bring in so many more students into engagement.

      Sharita Ware (11:05):
      Yeah. I, I feel like it does because I, I think, um, and, you know, along the journey, they kind of lose, um, they lose sight a little bit because, you know, they get out in the lab and they have access to all of these different materials. And I think, you know, truly making it, you know, project based for me is I try not to control the materials too much. Um, I try not to make it so wide that they just get lost, but I try to throw a few curve balls in there, you know, of, of materials that really don’t make sense to use, but they kind of think they make sense to use. Um, because the, the, the meat of it is that the prosthetic leg is a similar size of the original leg and that the, the knee functions. And so I don’t limit, and I grade them off of efficient use of materials.

      Sharita Ware (11:59):
      So, and that just throws them off because I think, well, how many Popsicle sticks can I use? And I’m like, you can use as many as you like, but remember, this is a prosthetic leg that, um, your Barbie, which is one six scale, um, is going to be wearing all day. So you could think that a Popsicle stick, if you chose to use a Popsicle stick is kind of like dragging around a two by four <laugh>, you know? So do, is that what you really want to use as your material? And some of the kids really think about it and saying, okay, I’m, I’ve got this aluminum rod, okay. This is probably what I would use for my bone structure, because it’s lightweight, but yet it is supportive. And then sometimes they come up with their own ideas in terms of materials, like one student brought in his, um, 3d doodle pin mm-hmm <affirmative> and he made joints and everything with this pin.

      Sharita Ware (12:54):
      And I’m, and I had delayed buying one, cause I’m like, I, how do you have control over that thing? Mm-hmm <affirmative> he brought that in and he did probably two or three iterations of it and, and got it to work where even the knee where it bit back 90 degrees, but it stopped. He made like, so that it didn’t bend forward. It blows my mind. I’m like so many UN unexpected things have, have happened just from my, um, teaching style. Now I did have, my first few years, I had a, a teaching coach, um, come in and, um, I asked her to come into my room because I just wanted to make sure because I was not a traditional teacher. She said, this classroom is amazing. And, and I think the one thing that she helped me with was, was purpose and consistency and the sense of making sure that with the standards that all of these cool things and ways of being, um, that I was doing in my classroom, that, that I kept it purposeful and intentional. So many times as educators, I know in having student teachers again, ask yourself the question, what is the big picture I want the kids to take away. And once you ask that question, then everything that you have them do will lead to that big picture. Well, it should lead to that big picture.

      Eric Cross (14:22):
      So it sounds like they’re, you’re starting with this end goal in mind and then kind of backwards planning to get there. Yeah. Do you think you would’ve been the same type of teacher if you would’ve gone straight from college into the classroom? No. And if, if, no, as you’re shaking your head, what do you think it is about? Cause I’ve been asking myself these questions, like just over the years, what is it about coming from industry and going into the classroom? Do you feel like, is how has that impacted you in how you teach?

      Sharita Ware (14:45):
      Well, I think it’s twofold cuz I was older. I already had three children. I think the combination for me, I think is I was already a mom and I had worked in industry. So the behavior aspect of kids and, and then having that real world experience. And I, I just feel like whether it’s in the classroom, um, marriage, kids, to me, it’s 90% relationship, you know, and the rest will work itself out. That’s, that’s just my, my take on it. But I, I feel like having kids, so some of the behavioral things I kind of was aware of, you know, and just learned many times just not to react to some of the things that they did.

      Eric Cross (15:31):
      Which is huge. Right. Especially in middle school is controlling your reactions.

      Sharita Ware (15:35):
      Yes. Cuz that’s what they want. You know? And, and I had this student last year as well. She’s brilliant. And so if she cannot wrap her mind around the purpose of what you’re doing and, and you’re pushing her to do something that she doesn’t think is necessary, mm-hmm <affirmative>, she kind of has these meltdowns. And, and so we just had this, you know, I don’t know, we just came to this understanding and it, and it works to control the meltdowns. I tried to make sure. And, and I used her as a gauge because I knew she wasn’t, she wasn’t getting upset because she didn’t understand. She didn’t understand the why mm-hmm <affirmative>. And so I felt like if she got the why then so would everyone else. So when she, if she was okay with it, then I was like, okay, then I must have explained it well enough.

      Sharita Ware (16:25):
      And so in my mind that I really need to make sure they understand the, again, going back to that purpose <laugh> and intention, making sure that that is clear. And then I think that’s what gets lost. Sometimes mm-hmm <affirmative> uh, with us as teachers, we, we know where we want the kids to go and we want us to trust the process, you know, just do it because I said so, but sometimes, you know, empowering your children to under to understand the why, because that again is what allows them to be able to do bigger and greater things on their own. So on that next project comes along. They’re starting to tell you, well, first we need to make sure we understand what, um, we’re being asked to do to do. So we have to define the question. We have to make our driving question that will help us stay focused. And, and you’re just standing up there going, okay, now you don’t need me. I’ll go here and sit down. <laugh> so it’s, uh, it is really cool.

      Eric Cross (17:28):
      Now I’m thinking about my own kids. Like, do my students know the why behind the lesson we did today? It’s one area of growth that I wanna make sure I do this year with my students. And so I really appreciate that. So the, and you just hit on something that is, has been in the forefront of my mind lately and math and English as you know, tend to be prioritized in schools everywhere because it’s what state tested. And it’s what, you know, this is a whole other conversation, but I’ve been talking to math teachers frequently about one of the challenges that they experience or they’ve been telling me is that math is kind of taught. Like it’s just computational, you’re solving these problems, but it’s really separated from any real life application. A lot of times, you know, it’s pizza or gumballs or, or just fictional scenarios and students don’t perform well many times. And some of the reasons why is cuz just no connection. I don’t want to solve puzzles. Like it’s not my jam. Do you have any just inside or, or perspective on how math is, is taught in maybe a way that you think it would students would benefit more?

      Sharita Ware (18:32):
      You know how kids learn in elementary school, you’ve got this, the same teacher teaching all of the subjects. And so wouldn’t that be an awesome opportunity for you to have like these, these projects where I feel like you could, a class could legit work on the same project for a whole entire year. And so couldn’t the English be writing your persuasive letter to the mayor, asking him to do this or do that. And the process of doing that they’re, they’re, they’re writing with a purpose with a true purpose. Um, and then when they’re doing math, you know, they want, they want a new neighborhood park. So, you know, well how much is this gonna cost? Well, math, what size is it gonna be math? Let’s see what it looks like, art, you know, you just, you have all of this things. And then of course then science.

      Sharita Ware (19:32):
      So if it’s on a heel, how can we, you know, deal with erosion? And you know, you can just pull so many different things into that. And so not only are they learning, but they’re narrowed in and focused on a project, they’re, they’re able to dive deep into, you know, learning more of learning, how to express themselves and communicate with real people. So it’s more of taking these compartmentalized learning that we do in middle school and high school. Mm-hmm, <affirmative> where you’re almost learning apprenticeship style. Mm-hmm <affirmative>, you know, you have these master educators and it’s not about them being the best at math or being the best at this or that. Cuz there’s so many tools now that could help you through that. But you’re, you’re giving, you’re teaching them so many life skills and so many ways to think and problem solve that, that we’re just that the kids just don’t have.

      Eric Cross (20:27):

      I think that that is amazing. And I think that in that situation, what I’m hearing is we’re going deeper, not wider because there are a lot of different concepts that kids are expected to learn. Or I should say there are several concepts that teachers are expected to teach doesn’t necessarily mean that our kids are learning, but we’re teaching them. And this way you’re embedded it into an authentic context. Students are able to go through this cycle just like real life. And then they’re also able to build these kind of really transdisciplinary skills. Not only am I learning the math, the English, the the, but I’m also learning the interpersonal skills of being able to sell myself and present myself in a way that’s winsome. And it’s especially powerful coming from someone from industry. Last question, even just listening to you, I know you, you are this for a lot of people, but I wanted to ask you who inspires you?

      Sharita Ware (21:14):
      I think there have been lots of people over the years. Like I’m thinking of my shop teacher who has since, uh, the last few years passed away. Um, he was one of those people, I think similar personality to me, super quiet person, but he was always in the background on my journey and his name was Joe Mo and we called her Madam Carol was my 10th grade English lit teacher. And she was the one that started reading my work out in front of the class. And you know, and that just gave me courage, not so much to be seen. Uh, but that the work I was doing was, was good. And, and I think I needed that kind of encouragement. Lastly, my students inspire me because when I look at their faces and see the excitement, I think of those students for the first time and, and, and think about this seventh and eighth graders for the first time feeling like they really have something to say, they really have something to contribute of value. And, and I do it for them. You know, the reason why I am here in this moment is because of them. Um, without them, you wouldn’t be talking to me <laugh>

      Eric Cross (22:37):
      This is, this is true. This is, this is true. You would probably never say this about yourself, but you just exude a humility and a service in how you talk about your students and yourself. And I just wanna thank you for using your gifts, but I don’t wanna just call them gifts because it makes it sound like you didn’t earn ’em and your skills that you’ve earned and worked very hard to acquire over the years to go back into the classroom and leave industry, cuz you, you could have gone back to industry too, but you decided not to. And you could have worked in the industry and your hours were a little different pay is a little different, but you came back to serve the kids of Indiana and because of you and because of that choice, those students have a brighter future and believe in themselves and they’re finding their voice. And I want to thank you for that and for representing all of us stem teachers who are in middle school and being that leader. So thank you for that and thank you for being on the podcast.

      Sharita Ware (23:24):
      You’re welcome. Thank you for having me.

      Eric Cross (23:28):
      Thank so much for listening. Now we wanna hear more about you in the amazing work you’re doing for students. Do you have any educators who inspire you? You can nominate them as a future guest on science connections by emailing stem, amplifycom.wpengine.com. That’s ST E M amplifycom.wpengine.com. Make 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 Sharita Ware says about science

      “Sometimes, empowering your students to understand the why is what allows them to be able to do bigger and greater things on their own.”

      – Sharita Ware

      Engineer and Technology Teacher, 2020 Indiana Teacher of the Year

      Meet the guest

      Sharita Ware, a Purdue University graduate, is in her 10th year of teaching engineering and technology education to middle school students in the Tippecanoe School Corporation. Ware challenges her students with real-world, problem-based design scenarios that will help them contribute to global technology and integrated STEM. Follow her on Twitter and Instagram.

      A woman with curly black hair, glasses, and a white turtleneck smiles at the camera.

      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.

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      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!

      Professional development for multi-program suites

      Amplify professional development provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

      Now you can learn and apply impactful instructional techniques and develop a deeper understanding of the suite of Amplify programs.

      Professional Learning Partner Guide Certified Provider

      Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

      A diagram shows three math programs: mCLASS Math with a student's photo, Amplify Desmos Math with math tools, and Boost Math with a robot illustration, all connected by orange lines.

      Amplify suites

      Each of Amplify’s high-quality, research-based programs is designed to help you teach inspiring math lessons that celebrate and develop your students’ brilliance. When used together, our comprehensive math suite provides even greater support and coherence for every student across your curriculum.

      Contact your account executive to discuss PD options or request a quote.

      Math

      Amplify Desmos Math with mCLASS Math assessments and Boost Personalized Learning combine the best of problem-based lessons, intervention, personalized practice, and assessment into a coherent and engaging experience for both students and teachers. With the full suite, teachers gain access to all the tools they need to inspire and motivate all learners in math class.

      Empower educators with:

      • High-quality professional development
        Comprehensive PD sessions equip teachers with the skills and knowledge necessary for effective program implementation, enhancing instructional practices and boosting student outcomes. These sessions support educators in leveraging the full suite of Amplify’s K–5 math programs, ensuring seamless integration and maximizing classroom impact.
      • Core instruction for grades K–12
        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 understanding for all students. Available in English and Spanish.
      • Integrated personalized practice
        Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive FeedbackTM adjusts to students’ work, providing item-level adaptivity to further support their learning.
      • Screening and progress monitoring
        mCLASS Assessments, along with daily formative checks, measure what students know and how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources.
      • Embedded intervention
        Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific skill or concept connected to the daily lesson. Extensions are also available to stretch students’ understanding.

      Each suite package will include:

      LAUNCH STRENGTHEN COACH
      Beginning of year Mid-year, end of year Mid-year, end of year
      Three people work together at a computer in a classroom; one woman points at the monitor while the others watch attentively.
      Two people sit at a table reviewing documents together against a yellow background. An icon of a barbell is displayed in the top left corner.
      Two women sit side by side at a table, each with a laptop. One woman points at the other’s screen as they focus on the display against a plain blue background.
      Receive one on-site or virtual Launch session for Amplify Desmos Math.
      Receive one on-site or virtual Strengthen session for Amplify Desmos Math.
      Receive one on-site or virtual Coach session for Amplify Desmos Math.
        In addition, select one 1-hour virtual Strengthen Focus session for the program of your choice:

      • Amplify Desmos Math
      • mCLASS Math
      • Boost Math
      In addition, select one more on-site or virtual Coach session for the program of your choice:

      • Amplify Desmos Math
      • mCLASS Math
      Add-on: Suggested enhancements are available for each Launch, Strengthen, and Coach session options.
      Before teaching After 6+ weeks of teaching  

      Begin packages for grades K–5, 6–A1, or high school

      Launch sessions

        On-site package
      (22 hr.)
      Hybrid 22, on-site package
      (22 hr.)
      Hybrid 17 package
      (17 hr.)
      Hybrid 22,
      virtual
      package
      (22hr.)
      Virtual
      package
      (14 hr.)
      One Launch session per package On-site,
      6 hr.
      On-site,
      6 hr.
      On-site,
      3 hr.
      Virtual,
      6 hr.
      (2 half-days)
      Virtual,
      3 hr.
      Amplify Desmos Math: Initial training for K–5, 6–A1, or high school teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
      Amplify Desmos Math: Program overview for K–5, 6–A1, or high school teachers
          A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
      Suggested enhancements
      Launch add-on On-site or virtual, 3 hr. session Amplify Desmos Math: Program overview for K–5, 6–A1, or high school leaders
      Launch add-on On-site or virtual, 3 hr. session mCLASS Math 2nd Edition: Program overview for grades K–5 or 6–8 teachers

      Strengthen and Coach sessions

      One Strengthen session and one additional Strengthen session (1 hr. Focus only) per package. Choose any of the following as a secondary Strengthen touchpoint.

        On-site package
      (22 hr.)
      Hybrid 22,
      on-site package

      (22 hr.)
      Hybrid 17 package
      (17 hr.)
      Hybrid 22,
      virtual
      package
      (22hr.)
      Virtual
      package
      (14 hr.)
      Virtual
      package
      Strengthen On-site, 3 hr. Virtual, 3 hr. Virtual,
      1 hr.
      Virtual, 3 hr. Virtual, 1 hr. Virtual, 2 hr.
      Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
      Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
      Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
      Amplify Desmos Math: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
      Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
      Amplify Desmos Math: Unit-level planning for
      K–5, 6–A1, or high school teachers
          A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
      Amplify Desmos Math: Snapshots in the Teacher Dashboard for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
      mCLASS Math: Leveraging assessment data to strengthen mathematical explanations for K–5 or 6–8 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
      Coach On-site,
      6 hr.
      On-site,
      6 hr.
      On-site,
      6 hr.
      On-site,
      6 hr.
      Virtual,
      3 hr.
      Coach session
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      Suggested enhancements
      Strengthen add-on On-site or virtual, 3 hr. session mCLASS Math + Boost Math: Understanding and using data to plan intervention for grades K–5 or 6–8 teachers
      Strengthen add-on On-site or virtual, 3 hr. session Amplify Desmos Math: Supporting and facilitating meaningful discussions for teachers

      Launch session options

      Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

      Begin: Amplify Desmos Math: Initial training for K–5, 6–A1, or high school teachers

      On-site, 6 hours

      Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Amplify Desmos Math: Program overview for K–5, 6–A1, or high school teachers

      On-site or virtual, 3 hours

      Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Suggested enhancement: Launch add-on: Amplify Desmos Math: Program overview for K–5, 6–A1, or high school leaders

      On-site or virtual, 3 hours

      Ideal add-on to Launch sessions
      The Program overview for leaders supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

      Session options: Amplify Desmos Math

      Audience: Leaders (maximum 30 participants)

      New session

      Suggested enhancement: Launch add-on: mCLASS Math 2nd Edition Program overview for K–5 or 6–8 teachers

      On-site or virtual, 3 hours

      Dive into the essentials of your mCLASS Assessments. Learn how these assessments both highlight students’ strengths and help identify what’s next through an asset-based approach. Leave ready to administer assessments and understand reporting.

      Session options: mCLASS Math (grades K–5 or 6–8)

      Audience: Leaders (maximum 30 participants)

      Strengthen session options

      Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

      Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

      Begin: Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers

      On-site or virtual, 3 hours

      Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Amplify Desmos Math: Enhancing practice for K–5 or 6–A1, or high school teachers

      On-site or virtual, 3 hours

      Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Amplify Desmos Math: Enhancing observations for K–5 or 6–A1 leaders

      Virtual, 1 hour

      Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

      Session options: Amplify Desmos Math (Grades K–5 or 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

      On-site or virtual, 3 hours

      Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

      Session options: Amplify Desmos Math

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Strengthen Focus: Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers

      Virtual, 1 hour

      Get ready to facilitate digital lessons with your students. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

      Session options: Amplify Desmos Math (K–5)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

      Virtual, 1 hour

      Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Strengthen Focus: Amplify Desmos Math: Snapshots in the Teacher Dashboard for 6–A1 teachers

      Virtual, 1 hour

      Explore how to use the Snapshots tool in the Teacher Dashboard to create a collaborative classroom that invites and celebrates student thinking. Leave with planning tips and tricks that will get you ready to use Snapshots during your busy math classes.

      Session options: Amplify Desmos Math (Grades 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Begin: Strengthen Focus: mCLASS Math: Leveraging assessment data to strengthen mathematical thinking for grades K–5 or 6–8 teachers

      Available for grades 6–8 teachers Oct. 2026

      Virtual, 1 hour

      Dig into mCLASS Math to reveal what students understand about mathematical concepts, and give them the tools to become more clear and confident communicators in math class.

      Session options: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Begin: mCLASS Math and Boost Math: Understanding and using data to plan intervention for grades K–5 or 6–8 teachers

      Available for grades 6–8 teachers Oct. 2026

      On-site or virtual, 3 hours

      Ideal add-on Strengthen session
      Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

      Session options: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Begin: Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers

      On-site or virtual, 3 hours

      Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

      Session options: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Coach session options

      Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

      Coach session

      On-site, 6 hours

      Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

      Session options: Amplify Desmos Math (K–5 or 6–A1) and/or mCLASS Math (Grades K–5 or 6–8)

      Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

      Practice packages (grades K–5 or 6–8)

      Launch sessions

        On-site package
      (16 hr.)
      Hybrid 16, on-site package
      (16 hr.)
      Virtual package
      (16 hr.)
      One Launch session per package On-site, 3 hr. Virtual, 3 hr. Virtual, 3 hr.
      mCLASS Math 2nd Edition Program overview for K–5 or 6–8 teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.

      Strengthen and Coach sessions

        On-site package
      (16 hr.)
      Hybrid 16, on-site package
      (16 hr.)
      Virtual package
      (16 hr.)
      One Strengthen and two Coach sessions per package Virtual, 1 hr. Virtual, 1 hr. Virtual, 1 hr.
      Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      mCLASS Math: Leveraging assessment data to strengthen mathematical thinking for grades K–5 or 6–8 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      Coaching On-site, 6 hr. On-site, 6 hr. Virtual, 3 hr.
      Coach session
      A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
      Suggested enhancements
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing observation for K–5, 6–A1, or high school leaders
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Supporting all learners for K–5 or 6–A1 teachers
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers
      Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Assessment in action: Analyzing data and reports and planning next steps for K–5 or 6–A1 teachers
      Strengthen add-on Virtual or on-site, 3 hr. mCLASS Math and Boost Math: Understanding and using data to plan intervention for K–5 teachers

      Launch session options

      Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

      Practice: mCLASS Math 2nd Edition Program overview for grades K–5 or 6–8 teachers

      On-site or virtual, 3 hours

      Dive into the essentials of your mCLASS Math assessment program. Learn how these assessments both highlight students’ strengths and help identify what’s next through an asset-based approach. Leave ready to administer assessments and understand reporting.

      Session options: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Strengthen session options

      Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

      Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

      New session

      Practice: Amplify Desmos Math: Strengthen: Focus: Teaching a lesson with digital student screens for K–5 teachers

      Virtual, 1 hour

      Get ready to facilitate lessons with digital student screens. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

      Session options: Amplify Desmos Math (K–5)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Practice: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

      Virtual, 1 hour

      Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

      Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Practice: Strengthen Focus: Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers

      Available Oct. 2026

      Virtual, 1 hour

      Explore how to use the instructional routines in Amplify Desmos Math to support and engage students as they make sense of new contexts, develop mathematical language, and solve problems.

      Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Practice: Strengthen Focus: mCLASS Math: Leveraging assessment data to strengthen mathematical explanations for grades K–5 or 6–8 teachers

      Available for grades 6–8 teachers Oct. 2026

      Virtual, 1 hour

      Dig into mCLASS Math to reveal what students understand about mathematical concepts, and give them the tools to become more clear and confident communicators in math class.

      Session option: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Amplify Desmos Math: Enhancing planning K–5 or 6–A1 teachers

      On-site or virtual, 3 hours

      Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

      Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers

      On-site or virtual, 3 hours

      Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

      Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders

      On-site or virtual, 3 hours

      Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

      Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

      On-site or virtual, 3 hours

      Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

      Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers

      Available Oct. 2026

      On-site or virtual, 3 hours

      Explore how to transform your mathematics classroom into a social and collaborative environment where students deepen their understanding by sharing their mathematical thinking. Learn more about how Amplify Desmos Math provides support for these meaningful mathematical conversations.

      Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: Amplify Desmos Math: Assessment in action: Analyzing data, reports, and planning next steps for K–5 or 6–A1 teachers

      Available Oct. 2026

      On-site or virtual, 3 hours

      Deepen your understanding of the different types of assessments in Amplify Desmos Math and how they provide evidence of student learning. Analyze sample student work to calibrate on assessment scoring, interpret student thinking, and make a plan for instructional next steps.

      Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

      Audience: Teachers, instructional staff (maximum 30 participants)

      New session

      Suggested enhancement: Practice: mCLASS Math and Boost Math: Understanding and using data to plan intervention for K–5 teachers

      Available for grades 6–8 teachers Oct. 2026

      On-site or virtual, 3 hours

      Ideal add-on Strengthen session
      Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

      Session option: mCLASS Math (Grades K–5 or 6–8)

      Audience: Teachers, instructional staff (maximum 30 participants)

      Coach session options

      Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

      Coach session

      On-site, 6 hours

      Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

      Session options: Amplify Desmos Math (Grades K–5 or 6–A1) and mCLASS Math (Grades K–5 or 6–8)

      Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

      Contact us

      Ready to lock in your dates? Want to learn more about developing a professional development plan to meet your needs?

      Amplify welcomes the opportunity to partner with you to design professional development plans to meet the needs of your staff. Whether you’re returning or new to Amplify program(s), we provide guidance in answering your questions and making package/session recommendations.

      If you’d like to order professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

      Welcome, Ellensburg, to Amplify Desmos Math!

      Amplify Desmos Math K-5 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 motivates 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.  Feel free to explore our grade-level ancillary samplers to learn more about assessment and reporting, intervention, and differentiation:

      Grade K Ancillary Sampler

      Grade 1 Ancillary Sampler

      Grade 2 Ancillary Sampler

      Grade 3 Ancillary Sampler

      Grade 4 Ancillary Sampler

      Grade 5 Ancillary Sampler

      A laptop displays a math problem with illustrated students and a virtual keyboard. Behind it, a chart shows percentages for a Math 2 Beginning-of-Year Screener assessment.

      Assessment

      mCLASS® Assessments, along with daily formative checks, measure not only what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core and intervention resources. Visit our mClass Math site to learn more.

      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 pair problems students are eager to solve with clear instructional moves for teachers. With low-floor, high-ceiling tasks every student can actively participate and be a part of the math community. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction.

      A math lesson screen shows a toy sinking 5 meters into a pool. A textbox asks how many centimeters that is, with space for an answer and a "Try again" button. An avatar explains the question, using Desmos math tools to amplify understanding.

      Differentiation

      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 and offer personalized differentiation. Visit our Boost Math site to learn more. 

      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.

      Embedded 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.

      Multilingual Learners

      To support multilingual/English learners, Amplify Desmos Math incorporates research-based Math Language Routines (MLRs) by providing language modality strategies like sentence frames where appropriate, both in the teacher language provided for each task and in the differentiation support section found throughout the program. For further information on math language development, please see pg. 82 of the Amplify Desmos Math Program Guide.

      Una profesora con un polo rojo ayuda a una estudiante con cabello largo y rizado que está leyendo un libro en su escritorio en un salón de clases. En la pared detrás de ellos se exhiben carteles con temas educativos.

      Review Resources

      To support your review of Amplify Desmos Math here are links to important K-5 review resources:

      Two women in an office setting are smiling while looking at a tablet. Various educational icons surround the image.

      K-5 sample materials

      Click the links in the drop-down sections below to explore sample materials from each grade.  To see sample student responses, please click on the Teacher Edition pages and scroll to “Sample Student Work” (first one is about 30 pages in) or click on Intervention and Extension resources.   

      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.

      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.
      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.

      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.

      Educational activity screen displaying a blue backpack with icons, dot groups on the left, and a grid background. Prompt reads, "Look inside the backpack. Then choose the group with the same number of dots." A great tool to amplify Desmos math learning in line with New York math standards.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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 math exercise, amplified by Desmos Math, showcases a story problem about adding kalo plants with three illustrations and a filled-out number sentence 3 + 4 = 7. A "Check" button is present. This tool aligns perfectly with New York math standards.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      Cover of "Amplify Desmos Math Centers Resources" for Grade 1, featuring a yellow and white 3D letter "C" on a light background.
      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 1: Intervention and Extension Resources" depicting a large, blocky number one and a yellow-themed design. Ideal for enhancing New York math curriculum.
      Intervention and Extension Resources

      Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

      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.

      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.

      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.

      Activity screen displaying a task to estimate the number of animals in an aquarium, featuring a bar chart for goldfish, frogs, and shrimp. Utilizing Desmos math tools, an illustration of an aquarium with various animals is also included to amplify learning.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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.

      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.

      Educational software displays a challenge to determine the area of an unpainted wall. The wall features a door and window with given dimensions, and a mouse pointer hovers near the question, amplifying the student's engagement.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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.

      Educational screen showing an interactive activity from Amplify Desmos Math where a user drags a point to cut a log into quarters. The progress is 2 out of 10.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      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.

      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.

      A digital activity prompt showing a scenic landscape with bamboo shoots and a panda. Using Desmos math tools, the task is to estimate the length where the third bamboo shoot should be placed for the panda to reach a leaf. This exercise is designed to amplify your understanding of spatial reasoning.
      Digital experience

      Explore our digital experience! Every lesson in Amplify Desmos Math 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.

      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.

      Contact Us

      If you have any questions throughout your review process or need additional samples, please don’t hesitate to contact:

      Alicia O’Neil

      Account Executive

      425-890-6103

      aoneil@amplify.com

      Request additional samples

      Ready to learn more? Connect with an Amplify Desmos Math expert to request additional program samples.

      Amplify Tutor Fingerprinting

      To view this protected page, enter the password below:



      Join our User Research Community!

      Help shape Amplify products.

      Educators and students are at the center of what we do. That’s why we test our products with real users, visit classrooms across the country, and gather ideas and feedback from educators like you! This is how we ensure that we’re developing new products that meet your needs, as well as continuously improving our existing products to better support your classrooms.

      That’s where our User Research Community comes in. This is a group of valued educators we look to for their expertise! They regularly participate in research and feedback opportunities and share their insights with our Product teams.

      We hope you’ll consider joining Amplify’s User Research Community. When we have a study that’s a good fit for you, our team will reach out with details and next steps.

      A person is using a tablet, immersed in progress and analytics data graphics on a white and orange backdrop, reminiscent of tools often employed by school administrators.

      Why participate in user research?

      Make an impact

      Help influence and improve Amplify products by sharing your feedback and ideas

      Get sneak peeks

      Learn about new products and features that Amplify teams are working on

      Connect with us

      Share your thoughts and feedback directly with Amplify product development teams

      Enjoy thank-you gifts

      Receive incentives as a thank you for your time

      What to expect

      When you sign up to join the Amplify User Research Community, we’ll ask you some questions that will help us match you with research studies. When an opportunity sounds like a good fit, we’ll send you an email and share the details up front, such as study topic, research format, time commitment, and compensation. Then, you can decide if you’d like to participate.

      A person in a shirt and tie, possibly a school administrator, reviews documents at a desk. Inset is an image of the "User Research Community Questionnaire," perhaps focusing on insights from K-12 teachers.
      Three people from the research community collaborate with digital devices, including a tablet and a laptop, fervently discussing their findings.

      Frequently asked questions

      We’re looking for all types of educators to join our User Research Community: new Amplify users, power users, and everyone in between. We’re also looking for people who don’t use our products. If you work in a school setting or support schools, we want to hear from you. Here are some of the people we’d love to connect with:

      • Classroom teachers (PreK–12)
      • Biliteracy teachers
      • Special education teachers
      • Interventionists
      • Coaches
      • Curriculum directors
      • School administrators
      • District administrations
      • Parents and caregivers

      We have a separate research program for K–12 students. Learn more about our Playtesting program below.

      Amplify runs a variety of research studies, and we’ll include the details of the study in our email. When you participate in one of our studies, you might be invited to:

      • Talk to a researcher in a video call: Share your experiences with a specific product.
      • Share your screen: Show us how you use Amplify’s products, try out a prototype, or test new features.
      • Complete a survey: Answer questions about your current practices and/or preferences.
      • Host a school visit: Have a few Amplify employees visit your classroom to observe our programs in action.
      • Participate in a long-form study: These studies may involve a small commitment for several days or over a few weeks. You may be asked to review new materials or designs or to try something out in your classroom. Our researchers may ask you to respond to questions or take notes based on your experience using a product.

      The information you provide will only be used to match you with suitable research studies and won’t be shared or sold to external parties. All data is stored on a secure server. See our Privacy Policy for more detail.

      Amplify’s goal is to design welcoming product experiences. To do this well, it’s important for us to get feedback from everyone. We collect demographic information to help ensure that study participants represent the educators, students, and school environments we serve. All questions are optional and your information is kept confidential in accordance with our Privacy Policy.

      You can opt out at any time by clicking unsubscribe in any of our research emails.

      We typically offer e-gift cards as a way of saying thank you to those who participate in our research studies. We’ll include the exact details of the thank-you gift in the email invitation for the session. If your session is eligible for a thank-you gift card, you should receive it within five business days after completing your session. Please note that not all study participants will receive a thank-you gift.

      Amplify Playtesting Program

      A fun and empowering experience for kids

      Students in our Playtesting Program provide feedback on new Amplify games and features as they’re being developed. Our researchers work one-on-one with students for 30 minutes at a time, inviting them to interact with new games and designs and gathering their feedback. We then integrate that feedback directly into our product development. It’s a chance for students to share their thoughts and ideas and have a real impact on the programs we’re building.

      A girl wearing headphones smiles while using a laptop, surrounded by illustrations of a building and a house. A colorful creature dances nearby, reminiscent of the creative tools K-12 teachers use to inspire young minds.

      Who can participate?
      Any students in kindergarten through grade 12 this school year can be part of our playtesting program, with parental permission.

      What are the perks?
      Aside from a fun time and a sneak peek at what’s in development, all students receive a $20 Amazon gift card for participating in a playtesting session.

      When, where, and how do kids participate?
      When playtesting needs arise, our User Research team will reach out to parents/caregivers to schedule a Google Meet session at a time that’s convenient for you and your child.

      How can I sign my child up?
      To enroll your student, please fill out this consent form. Your child will then be added to our playtesting program database. When a playtesting opportunity arises that we think would be a good fit, we’ll reach out!

      Amplify virtual sampling

      Bring the world to students with Amplify CKLA 2nd Edition!

      Amplify Core Knowledge Language Arts (CKLA) 2nd Edition is a comprehensive early literacy curriculum grounded in the Science of Reading. With Amplify CKLA, you’ll have the instruction and guidance of proven, evidence-based practices to help all of your students become strong readers, writers, and thinkers.

      Illustration of diverse children and animated creatures, with a large friendly robot, engaged in playful activities in a vibrant, imaginative setting.

      Start your review

      Digital samples for Grades K–5 are included here, along with other helpful materials for completing your review.
      Watch the program overview video, in which Susan Lambert, host of Science of Reading: The Podcast, provides an overview of the unique structure and components of Amplify CKLA for Grades K–5.

      The Amplify CKLA Program Guide provides you with 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.

      For an even more in-depth look at Amplify CKLA, review the following materials:

      Click here to access materials!

      K–5 Materials

      Grades K–2: Dedicated knowledge building and explicit skills instruction
      Every day, students in Grades K–2 complete one full lesson that builds foundational reading skills in the Skills Strand, as well as one full lesson that builds background knowledge 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 instruction
      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.

      Diagram illustrating how language comprehension and word recognition contribute to skilled reading. Language comprehension includes core knowledge, vocabulary, sentences, reasoning, and mental model. Word recognition covers sounds, letters, and words.
      CKLA_Sampling-AuthenticTexts_0906b

      Amplify CKLA is more engaging than ever!

      Fascinating subjects and cool tools captivate students. An intentional approach to background knowledge invites students to dig deeper, inspiring curiosity and driving results. With a cutting-edge digital experience, beautiful and newly-designed decodable Readers, and fascinating extended-learning units that take students all over the world, Amplify CKLA is more engaging than ever before—for both teacher and student!

      The Amplify Digital Experience

      With the Amplify CKLA digital experience, it’s never been easier to deliver engaging lesson presentations. Your students will love features that allow them to interact with their reading instruction like never before, and you will love the tools that help you keep their attention!

      These ready-made, customizable, slides-based lesson presentations enhance instruction and save you time. With the Amplify CKLA digital experience, you’ll have everything you need in one place to plan and present high-quality, engaging early literacy instruction.

      Illustration of diverse people engaged in different activities: a black woman listening to music, two astronauts in space, and a man reading a book by a plant.

      Authentic texts and extending learning

      As part of our commitment to creating even richer and more diverse curricula, we now offer newly redesigned decodable Readers and six new supplemental learning units. Stories with human characters now have improved inclusivity and authenticity, and other stories feature fantastical creatures to bring excitement and whimsy to the tales. Supplemental Knowledge Research Units extend learning for Grades K–5, incorporating Amplify CKLA’s powerful and evidence-based instructional approach while also adding more diversity, authentic literature, and flexibility. The authentic trade books in each of these units will inspire your students’ curiosity and grow their capacity for research and inquiry.

      Introducing Amplify Caminos!

      Amplify Caminos is an authentic elementary Spanish language arts program. Like its English language partner, Amplify CKLA, Amplify Caminos provides explicit, systematic foundational skills instruction sequenced with deep knowledge-building content to foster comprehension. When used with Amplify CKLA, Amplify Caminos provides full parity across English and Spanish that’s suitable for any dual language implementation model.

      Discover Amplify Caminos

      A collage of digital illustrations depicting various storytelling scenes, including a knight, a scientist, and a couple, each in vibrant colors.

      Connect with an Amplify CKLA expert!

      Ready to talk to a product expert? We’re here to help!

      Get in touch

      Welcome, Arkansas educators!

      We are excited to introduce Amplify Core Knowledge Language Arts (CKLA) 3rd Edition, now an Arkansas-approved HQIM core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

      Rest assured that Amplify CKLA 2nd Edition remains a robust, trusted option, and our high-quality professional development and ever-growing PD Library of resources continue to be available to all CKLA partners.

      Whether you’re continuing with the 2nd edition or exploring the 3rd, you’ve chosen a proven and research-based curriculum designed for lasting impact.  Together, let’s write the next chapter in the Science of Reading.

      A correlation of the Arkansas English Language Arts Standards to Amplify CKLA 3rd Edition is now available!

      An astronaut in space extending a hand toward the camera, with the moon in the background and a speech bubble containing “/oo/.”.

      Amplify ckla servers

      150,000+

      Classrooms

      4,000,000+

      students

      50+

      us states and d.c.

      Our approach

      Improve outcomes with a program built on decades of research, that meets the strongest ESSA Tier I criteria.

      A diagram showing the simple view of reading by combining language comprehension and word recognition at various levels, leading to expert reading.

      Grounded in the Science of Reading

      As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

      Background knowledge drives results for Arkansas students

      Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

      In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

      A diagram shows the steps for learning a sound: hear /a/, say the sound, read "c-a-t," and write "cat" with a pencil, featuring a cartoon cat image.

      Build foundational skills for long-term success.

      Students progress from simple to complex skill development, starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

      In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

      Daily writing deepens learning.

      Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated, so students simultaneously strengthen their communication skills, comprehension, and confidence.

      A young boy sits at a desk in a classroom, writing in a notebook with a pencil, while other students are visible in the background.
      A laptop displays a children's story titled "Seth's Sled." Surrounding it are five book covers, including "Duke Ellington" and "Patricia's Vision.

      High-quality texts

      Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varying experiences and backgrounds, and connect to learning goals.

      Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

      Reach all learners with differentiated support.

      Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

      For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

      Four children sit cross-legged on a classroom rug, two with hands raised. They appear engaged and attentive, with posters and shelves visible in the background.

      What’s included

      The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

      A laptop displaying an assessment report is surrounded by books, an astronaut illustration, and a large moon graphic on a white background.
      A collection of educational materials, including spiral notebooks, textbooks, a lesson plan, and a laptop displaying an educational screen with the title "Let's Explore.

      Easy-to-use teacher materials

      Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

      • Teacher Guides (K–5)
      • Assessment Guides (K–5)
      • Authentic texts and trade books (K–5)
      • Knowledge Image Cards (K–2)
      • Knowledge Flip Books (K–2, digital)
      • Ready-made and customizable Presentation Screens (K–5, digital)
      • Remediation and intervention resources (K–5)
      • On-demand professional development (K–5, digital)

      Immersive Amplify CKLA student resources

      Amplify CKLA students stay engaged with the following print and digital resources:

      • Decodable readers (K–2)
      • Student Readers and novels (3–5)
      • Student Activity Books (K–5)
      • Poet’s Journal and Writer’s Journal (3–5)
      • eReaders (K–5, digital)
      • Sound Library featuring articulation videos and songs (K–2, digital)
      • Skill-building practice games (K–5)
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      Six children's and young adult book covers arranged in two rows, featuring titles about animals, exploration, and adventure.

      Rich literary experiences

      The high-quality texts in Amplify CKLA foster students’ curiosity, reflect the wide variety of their backgrounds and experiences, and help them learn to read with confidence.

      • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
      • Classic and contemporary literature (3–5) delights students in Novel Study Units.
      • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

      Hands-on phonics materials

      Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

      • Chaining Folders and Small Letter Cards (K)
      • Read-Aloud Big Books (K–1)
      • Large Letter Cards (K–2)
      • Sound Cards (K–2)
      • Image Cards (K–3)
      • Blending Picture Cards (K)
      • Consonant and Vowel Code Posters and Spelling Cards (1–2)
      • Sound Library (K–2, digital)
      A digital learning interface displays vowel sounds, word-building activities, and phonics flashcards, with an illustrated brown weasel on the right.

      All-in-one digital platform

      Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

      • Ready-made and customizable Presentation Screens
      • Auto-scored digital assessments
      • Standards-based reporting
      • Assignable skill-building games
      • Sound Library
      • eReaders

      Professional Development

      We look forward to working alongside our Arkansas partners to build a strong foundation in Amplify CKLA. Our dedicated professional development team will continue collaborating with the ADE to provide job-embedded, on-site support that aligns with the Arkansas ELA standards and the Science of Reading.

      Explore Amplify’s Effective PD Solutions

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      A circular flow chart titled

      A true Science of Reading early literacy suite for Grades K–5

      Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

      • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS® 8th Edition
      • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
      • Practice with Boost Reading: Personalized learning program to extend and reinforce core
      • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support

      Language Studio: Multilingual and English learner support

      Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

      A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

      Explore more programs in Amplify’s literacy and biliteracy suite.

      All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

      Get a demo

      Fill out this form and your Account Executive Paige Benoy will contact you to set up a demo, send samples, or answer questions about Amplify CKLA.

      A woman with straight blonde hair smiles outdoors, standing in front of steps and greenery. She is wearing a patterned top.

      Paige Benoy
      Arkansas Account Executive
      pbenoy@amplify.com

      2020 Math Leadership Summit logo with geometric shapes and text; "sponsored by Amplify" appears in orange.

      Join us!

      Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

      March 2–4

      The US Grant Hotel, San Diego

      About the event

      Join us for two days of interactive and inspirational talks with math education leaders from around the country to discuss where math education is headed. Meet like-minded K–12 leaders as well as change-makers from major universities, EdTech companies, and professional learning organizations dedicated to improving teacher experiences and student outcomes in mathematics. 

      We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

      What to expect:

      • Two full days of keynote and breakout sessions covering a variety of K–12 math topics
      • Sessions led by district leaders sharing their work to raise math achievement
      • Evening networking events
      • Engaging speakers with a variety of expertise
      • Insights you can put to use in your district immediately
      Aerial view of a city skyline with tall buildings along a waterfront, under a blue sky with scattered clouds.

      Meet a few of our speakers

      Use this version when there are multiple presenters.

      Jason Zimba

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Sunil Singh

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Christina Lincoln-Moore

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Use this version when there is only one presenter, rather than many.

      A woman with curly blonde hair wearing a white blouse is shown next to a book titled "The Knowledge Gap" with a colorful background.

      Natalie Wexler

      Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce. Convallis posuere morbi leo urna molestie. In metus vulputate eu scelerisque felis imperdiet proin fermentum leo.

      Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

      Event agenda

      Monday, March 2

      Arrivals

      Pre-conference workshop featuring Chris Weber and Patrick Callahan

      Sessions begin at 1 p.m. Pacific and include:

      • Adult and Student Mindsets and Math Supports
      • Enhanced Mathematics

      3:00 p.m. Hotel check-in available

      6:00 p.m. Welcome reception and dinner

      Tuesday, March 3

      8:30 a.m. Sessions begin

      Sessions include:

      • Math milestones with Jason Zimba
      • Unfinished learning with Phil Daro
      • Powerful moments in math class with Mike Flynn
      • Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
      • Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

      6:30 p.m. Evening event

      Wednesday, March 4

      8:30 a.m. Sessions begin

      Sessions include:

      • Embedding problem-solving into your curriculum with Fawn Nguyen
      • Writing in mathematics: The power of mathematics explanations with Jessica Balli
      • Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
      • Writing in mathematics: The power of mathematical explanations with Patrick Callahan

      4:00 p.m. Departures

      Submit the form to register for the event!

      Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

      A laptop displays an educational website about balancing forces and floating trains, with a matching teacher's guide booklet beside it.
      • This field is hidden when viewing the form

      The fine print

      While we’ve made every effort to ensure that this invitation is consistent with the gift and ethics rules adopted by most jurisdictions, we recognize that many public officials are subject to rules that do not permit acceptance of this offer or require approval of other officials at your agency. If you do plan to attend our event, please ensure that acceptance of our invitation is fully compliant with your local rules regarding travel, lodging, and meals for events with vendors. Please let us know if we can provide any additional information to support your determination.

      Amplify customer support hub

      Quickly find support for every step of your journey, whether you’re new to our programs or a long-time partner. Our support hub offers personalized, responsive assistance to drive strong implementation and boost student outcomes.

      Round-the-clock help resources

      Access comprehensive support anytime, anywhere with our 24/7 Help Center. Find articles, answers, and quick links with ease in this collection of resources.

      For system status updates, click on Amplify System Status.

      Screenshot of the Amplify Help Center homepage, featuring a search bar, program links on the left, article categories in the center, and quick links on the right for easy access to customer support.

      Need immediate assistance?

      Whether you have a free account or your district has purchased an Amplify program, we’re here to help.

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      Request Support.

      Free account users and customers can open a case for assistance.

      Submit a support request

      Full program customer support

      Phone support

      Speak directly with our knowledgeable agents.

      Call: +1 (800) 823-1969 

      Hours:
      Monday through Friday
      7 a.m. — 7 p.m. ET

      Live chat

      Connect instantly inside your program(s).

      Log in at learning.amplify.com and click the chat button in the bottom right corner.

      Continuous support along your journey

      Personalized assistance

      Our team helps with purchasing, order fulfillment, enrollment, and more.

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      From purchase to implementation

      Collaborate with our sales team to explore programs tailored to your unique needs.

      Connect with a product expert

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      Smooth ordering and payment

      Enjoy seamless purchasing with our dedicated team. For quick help, visit our payment support site or contact your account executive.

      VISIT PAYMENT SUPPORT

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      Ongoing success and growth

      After processing your purchase, our specialized teams guide you through onboarding, professional development, materials delivery, digital setup, and implementation launch.

      Discover the tools to transform teaching.

      Continued learning and growth

      Learn with us:
      Join our free online webinars and events to explore thought leadership and gain insights. Stay informed about the latest in education.

      Elevate your practice:​​
      Explore paid professional development to enhance your skills and integrate our programs effectively. Our resources are tailored to support your success.

      Your voice matters!

      A laptop and a smartphone display an orange screen with the word "Amplify." in white text, highlighting tools that enhance student outcomes.

      Join our lively Facebook communities to connect with fellow educators, share insights, and be part of a network advocating for student success and innovative education.

      Logotipo de la Cumbre de Liderazgo en Matemáticas 2020, patrocinada por Amplify. Presenta formas geométricas y texto estilizado "2020" sobre un fondo blanco.

      Join us!

      Meet like-minded educators Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut magna aliqua.

      March 2–4

      The US Grant Hotel, San Diego

      About the event

      Join us for two days of interactive and inspirational talks with math education leaders from around the country to discuss where math education is headed. Meet like-minded K–12 leaders as well as change-makers from major universities, EdTech companies, and professional learning organizations dedicated to improving teacher experiences and student outcomes in mathematics. 

      We’re hosting an optional pre-conference workshop featuring Patrick Callahan and Chris Weber on Monday, March 2. The pre-conference starts at 12 p.m.

      What to expect:

      • Two full days of keynote and breakout sessions covering a variety of K–12 math topics
      • Sessions led by district leaders sharing their work to raise math achievement
      • Evening networking events
      • Engaging speakers with a variety of expertise
      • Insights you can put to use in your district immediately

      Meet a few of our speakers

      Use this version when there are multiple presenters.

      Jason Zimba

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Sunil Singh

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Christina Lincoln-Moore

      Founding Partner of Student Achievement Partners

      Lead writer of the Common Core State Standards for Mathematics

      Use this version when there is only one presenter, rather than many.

      Promotional image featuring an author next to her book titled "the knowledge gap," set against a background of colorful geometric shapes.

      Natalie Wexler

      Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce. Convallis posuere morbi leo urna molestie. In metus vulputate eu scelerisque felis imperdiet proin fermentum leo.

      Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Quis ipsum suspendisse ultrices gravida dictum fusce.

      Event agenda

      Monday, March 2

      Arrivals

      Pre-conference workshop featuring Chris Weber and Patrick Callahan

      Sessions begin at 1 p.m. Pacific and include:

      • Adult and Student Mindsets and Math Supports
      • Enhanced Mathematics

      3:00 p.m. Hotel check-in available

      6:00 p.m. Welcome reception and dinner

      Tuesday, March 3

      8:30 a.m. Sessions begin

      Sessions include:

      • Math milestones with Jason Zimba
      • Unfinished learning with Phil Daro
      • Powerful moments in math class with Mike Flynn
      • Utilizing math history to embrace equity, failure, and authentic problem-solving in leadership communities with Sunil Singh
      • Radical change in high school mathematics: Addressing wicked problems of tracking, acceleration, and curricular change with Mike Steele

      6:30 p.m. Evening event

      Wednesday, March 4

      8:30 a.m. Sessions begin

      Sessions include:

      • Embedding problem-solving into your curriculum with Fawn Nguyen
      • Writing in mathematics: The power of mathematics explanations with Jessica Balli
      • Talk Number 2 Me: Mathematics and mindfulness with Christina Lincoln-Moore
      • Writing in mathematics: The power of mathematical explanations with Patrick Callahan

      4:00 p.m. Departures

      Submit the form to register for the event!

      Note: this is a Hubspot form but, when this page is used, we will be using Gravity forms. I put in an HS form now since the CSS has not been added.

      • This field is hidden when viewing the form

      The fine print

      While we’ve made every effort to ensure that this invitation is consistent with the gift and ethics rules adopted by most jurisdictions, we recognize that many public officials are subject to rules that do not permit acceptance of this offer or require approval of other officials at your agency. If you do plan to attend our event, please ensure that acceptance of our invitation is fully compliant with your local rules regarding travel, lodging, and meals for events with vendors. Please let us know if we can provide any additional information to support your determination.