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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.

Amplify Desmos Math

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.

Reading comprehension strategies grounded in science

When we teach reading using what science (specifically the Science of Reading) tells us, we guide the brain to start recognizing and understanding those letters, syllables, and words. And the most effective reading comprehension strategies depend not only on explicit instruction, but on building background knowledge.

Comprehension instruction: Breaking it down

According to the Simple View of Reading, two cognitive capacities are required for proficient reading: (1) decoding, and (2) language comprehension.

“Reading comprehension is the product, not the sum, of those two components,” says Dr. Jane Oakhill, professor of experimental psychology at the University of Sussex. “If one of them is zero, then overall reading ability is going to be zero.”

As Oakhill explains further on Science of Reading: The Podcast, each component contains its own set of distinct skills and processes. It’s crucial to help students develop all of these capacities.

Building mental models for new information

Some readers are great at decoding but struggle with language comprehension. Why might that be—and how can you support them?

Here’s some context: After you read this paragraph, you aren’t likely to recall the precise wording—but you will probably remember the idea. Researchers use the term mental model to describe the cognitive strategies for the structure you create in your mind to perform this feat of comprehension.

Historically, educators have thought about the process of comprehension — everything that happens after each word is recognized — as a black box. But now we know that there are two levels of comprehension at work: comprehension processes and comprehension products.

Comprehension processes are the steps you take to build a mental model of a text during reading. Comprehension products refer to the work you are able to do with that model after reading.

Think of the process of building a mental model as a sort of micro-comprehension. Weaker comprehenders build weaker models, so they may struggle when asked to create a narrative text summary, identify a theme, put together predictions, or describe key details of a character’s evolving beliefs.

By actively engaging with text, connecting prior knowledge, utilizing graphic organizers, receiving explicit instruction, and exploring new information, students can learn to build robust mental models that enhance their comprehension of the text. These mental models serve as frameworks for understanding, organizing, and synthesizing information, which then leads to improved comprehension, retention, and critical thinking.

Researchers have identified as many as 17 comprehension processes that affect students’ ability to build and use their mental models. The following are a few of the comprehension processes that weak comprehenders most commonly struggle with, and that with practice, can be targeted for skill development and improved overall comprehension.

  • Anaphora (using pronouns to refer to an earlier word or phrase): Some readers struggle to process pronoun relationships (Megherbi & Ehrlich, 2005), identify antecedents, and answer questions that require resolution of anaphora (Yuill & Oakhill, 1988).
  • Gap-filling inference: When reading the sentence “Carla forgot her umbrella and got soaking wet,” more skilled readers will conclude that it rained. A lack of awareness of when and how to activate background knowledge to fill in gaps may hinder a student’s ability to make inferences and comprehend the text as a whole (Cain & Oakhill, 1999).
  • Marker words: Writers use connective words (e.g., so, though, and yet), structure cues (e.g., meanwhile), and predictive cues (e.g., “There are three reasons why…”) to signal ways that text fits together. Students with limited knowledge of the meaning and function of these words may struggle with the meaning of the text (Oakhill, et al., 2015).
  • Comprehension monitoring: When proficient readers encounter difficulty, they tend to stop, reread, and try to figure it out. Less proficient readers may just keep going or fail to recognize that what they’re reading doesn’t fit their mental model.

Two strategies that you can employ in your classroom to guide students in comprehension strategy instruction:

  • Graphic organizers: Use graphic organizers such as concept maps, story maps, or Venn diagrams to help students learn to visually organize information and relationships within the text. Visualization enhances comprehension (Graesser, et al., 1994). As the text progresses, students can refer to and update their models.
  • Comprehension monitoring: Teach readers to monitor their comprehension while reading by pausing to reflect on their understanding, clarify confusing points, and adjust their reading strategies as needed. Monitoring comprehension helps good readers stay engaged and actively construct meaning from the text.

How background knowledge powers comprehension

The Science of Reading demonstrates the importance of systematic and explicit phonics instruction. But students don’t have to learn phonics or decoding before knowledge comes into the equation. In fact, the opposite might even be true.

Let’s say you’re handed a passage of text describing part of a baseball game. You read the text, and then you’re asked to reenact that part of the game. Which is most likely to help you do so?

  1. Your ability to read
  2. Your knowledge of baseball
  3. Neither

If you answered “2,” you’re batting 1,000. This example summarizes an influential 1988 study that concluded that the strongest predictor of comprehension was knowledge. In the study, which showed readers (with varying degrees of background knowledge about baseball) a passage describing a game, struggling readers comprehended as well as strong readers—as long as they had prior knowledge of baseball.

“The background knowledge that children bring to a text is also a contributor to language comprehension,” says Sonia Cabell, Ph.D., an associate professor at Florida State University’s School of Teacher Education, on Science of Reading: The Podcast.

In fact, background knowledge is the scaffolding upon which readers build connections between prior knowledge and new words. Students with average reading ability and some background knowledge of a topic will generally comprehend a text on that topic as well as stronger readers who lack that knowledge.

But until recently, literacy instruction has typically focused on decontextualized skills—finding the main idea, making inferences—rather than on the content of texts and resources that students engage with. According to Cabell, what we know about knowledge and comprehension should inform instruction for the whole class. “I think most, if not every, theory of reading comprehension implicates knowledge,” she says. “But that hasn’t necessarily been translated into all of our instructional approaches.”

How can we help build background knowledge while teaching reading? Here are some strategies backed by science.

  • Systematically build the knowledge that will become background knowledge. Use a curriculum grounded in topics that build on one another. “When related concepts and vocabulary show up in texts, students are more likely to retain information and acquire new knowledge,” say education and literacy experts Barbara Davidson and David Liben. According to them, this retention even continues into subsequent grades. “Knowledge sticks best when it has associated knowledge to attach to.”
  • Provide instruction that engages deeply with content. Research shows that students—and teachers, too—actually find this content-priority approach more rewarding than, in Davidson and Liben’s words, “jumping around from topic to topic in order to practice some comprehension strategy or skill.”
  • Support students in acquiring vocabulary related to content. Presenting keywords and concepts prior to reading helps students comprehend text more deeply. Spending more time on each topic helps students learn more topic-related words and more general academic vocabulary they’ll encounter in other texts.
  • Use comprehension strategies in service of the content. While building knowledge systematically, teachers can use proven strategies—such as chunking and creating graphic organizers—to help students develop skills they can use to support their for understanding of important information.
  • Use discussions and writing to help students learn content. Invite students to share their interpretations, supporting their thought processes in their own words and connecting with peers’ perspectives.
  • Help students forge connections in small groups. Help students draw connections between reading lessons and units—and their own experiences—as they grow their knowledge base together.

Every day, the Science of Reading has more to tell us about comprehension as a multifaceted skill that requires a combination of various strategies, tools, and techniques to unlock meaning from text. Because of this body of research, we know that when educators bring intentional and evidence-based practices into the classroom, students can enhance their ability to comprehend grade level text, analyze information critically, and engage with diverse subject areas. By nurturing students’ reading comprehension skills grounded in the Science of Reading, educators can empower students to become good readers who can navigate complex texts with confidence and understanding.

Explore more

The Amplify blog:

Science of Reading: The Podcast

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.

Amplify Desmos Math California

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.

Top 10 Science of Reading podcasts to get you started

Since 2019, Science of Reading: The Podcast has delivered the latest insights from researchers and practitioners in early reading. Hosted by Amplify’s Chief Academic Officer Susan Lambert, each episode welcomes a renowned leader in the education and literacy community, explores a timely topic related to the Science of Reading, and offers instructional advice to educators implementing evidence-based practices in their schools.

New to the podcast? Here are 10 popular episodes to acquaint yourself with the Science of Reading. Listen, enjoy, and subscribe — we have new episodes every other Wednesday!

S1-E1: Natalie Wexler on “The Knowledge Gap”

Susan hosts Natalie Wexler for a deep dive into her latest book, The Knowledge Gap: The Hidden Cause of America’s Broken Education System—And How to Fix It, and a discussion of the lack of equity in reading education among students, the benefits of knowledge-rich curriculum inside and beyond the classroom, why it’s important to build background knowledge while teaching foundational skills, and why professional development doesn’t seem to be making a difference and how it can be improved.

S1-E3: Emily Hanford on reporting on education and the Science of Reading

Susan sits down with Emily Hanford, education reporter and host of the Education Post podcast, to examine the big takeaways from her experience reporting on dyslexia and the patterns that emerged in her investigation; why reading instruction isn’t more aligned with the Science of Reading; and the evolution of whole language, balanced literacy, and phonics instruction.

S1-E8: Tim Shanahan on evidence-based literacy practices

Reading expert Tim Shanahan discusses his view on teaching reading, including an explanation of the four crucial things you need to teach reading, and what it means to really do a “close read” in literature.

S3-E1: Dr. Jane Oakhill on Scarborough’s Reading Rope

Dive into the first episode of our Deconstructing the Rope series as Dr. Jane Oakhill, professor of experimental psychology at the University of Sussex, provides an overview of Scarborough’s Reading Rope. She also emphasizes the importance of inferencing in comprehension, why the Simple View of Reading is still relevant almost 40 years later, and how each element of the Rope comes together to deconstruct the complexity of reading.

S3-E3: Dr. Louisa Moats on decoding

Join Dr. Louisa Moats, President of Moats Associates Consulting, as she unwinds decoding, a strand of Scarborough’s Reading Rope. In the third episode of our Deconstructing the Rope series, Louisa highlights the significance of decoding in the Science of Reading and discusses the value of becoming students of our own language. She also explains the reciprocal relationship between decoding and encoding and why both are essential to provide effective phonics instruction to children in the classroom.

S2-E7: Sonia Cabell on research, comprehension, and content-rich literacy instruction

Join Sonia Cabell, Assistant Professor of Education at Florida State University, as she shares findings from her research trials on content-rich literacy curricula and whether activating students’ background knowledge alongside explicit phonics instruction is more effective than traditional approaches. She also explains what constitutes “compelling evidence” in the Science of Reading and why students need to interact with both written and spoken language while learning to read.

S3-E5: Dr. Bruce McCandliss on sight recognition

Join Dr. Bruce McCandliss, Professor at the Graduate School of Education of Stanford University, as he unwinds sight recognition, a strand of Scarborough’s Reading Rope. In the fifth episode of our series, Bruce explains the role of sight and word recognition in the Science of Reading and highlights the importance of the rapid integration of print, speech, and meaning. He also encourages listeners to be cognizant of the ever-changing technological learning environment while nurturing young readers and writers.

S2-E1: Dr. LaTonya Goffney on a district-wide SoR adoption

Join Dr. LaTonya Goffney, Superintendent of Schools for Aldine Independent School District in Texas, as she recounts her two-year journey with her team of district educators to adopt a new early literacy curriculum. Hear how they successfully challenged the traditional adoption process, studied the science of teaching reading, analyzed student data and experiences, and developed a district-wide set of beliefs and expectations.

S3-E7: Maria Murray on The Reading League’s Defining Movement

In this special episode, Dr. Maria Murray, President, and CEO of The Reading League analyze the intricacies of literacy instruction and shares common misconceptions that educators have about the Science of Reading. She also explains why the Science of Reading: A Defining Movement coalition was founded: the belief in a clear understanding of what the Science of Reading is and what it is not, in order to promote the proper use of instructional practices aligned with its findings.

The Reading Rope: Breaking it all down

What do pipe cleaners have to do with learning to read?

In the late 1990s, reading and literacy expert Hollis Scarborough, Ph. D., used pipe cleaners to create a model of the intertwined skills that make up the process of learning to read.

That model is the iconic Reading Rope, the visualization that helps us understand the essential strands of reading and how they work together.

In this post, we’ll examine the components of the Rope both individually and together, then explore how the Rope aligns with the Science of Reading and the five foundational reading skills.

What is the Reading Rope?

The human brain is wired to do many things, but reading is not one of them. The brain does not automatically know that certain marks on a page or screen are designed to represent sounds, or meaning. That’s why we have to teach reading, explicitly and systematically.

And when we teach reading using what science—the Science of Reading—tells us, the brain wires itself to start recognizing and understanding those letters, syllables, and words.

The Reading Rope provides a visual representation of that process and all its essential, interrelated components.

Why is the Reading Rope important for the Science of Reading?

The Reading Rope emphasizes the need for a comprehensive, deliberate approach to reading instruction. It recognizes that reading is not a singular skill, but rather a set of interwoven processes.

By understanding and addressing each of these processes (known in the Rope as strands), educators can provide the targeted instruction that helps readers succeed.

How does the Simple View of Reading connect to the Reading Rope?

One of the research-based frameworks used in the Science of Reading is the Simple View of Reading. 

According to the Simple View, two cognitive capacities are required for proficient reading: (1) word recognition and (2) language comprehension. 

“Reading comprehension is the product, not the sum, of those two components. If one of them is zero, then overall reading ability is going to be zero,” says Jane Oakhill, Ph.D., professor of experimental psychology at the University of Sussex.

Those two skills make up the two meta-strands of the Rope. But, as Oakhill explains further on her episode of Science of Reading: The Podcast, each strand contains its own subset of distinct skills and processes.

What are the strands of the Reading Rope?

Let’s take a look:

  1. Word recognition encompasses the ability to accurately and swiftly decode printed words. Phonological awareness, phonics, and sight word recognition contribute to this strand.
    1. Phonological awareness is the ability to recognize and manipulate the individual sounds (phonemes) within spoken words. It includes skills such as identifying rhymes, segmenting words into syllables, and manipulating sounds within words. Phonological awareness provides the foundation for phonics instruction.
    2. Phonics describes the systematic relationship between letters and the sounds they represent. It includes understanding letter-sound correspondences, decoding unfamiliar words by applying sound-symbol relationships, and blending sounds to form words. Phonics instruction gives students the tools to decode printed words.
    3. Sight word recognition is the ability to recognize and read words automatically, without decoding. Building a repertoire of sight words boosts fluency.
  2. Language comprehension is the understanding of spoken and written language, including vocabulary, grammar, syntax, and the ability to make inferences and draw conclusions. Language comprehension allows readers to extract meaning from text.
    1. Vocabulary refers to the words one knows and understands, both orally and in writing. A robust vocabulary enhances comprehension and communication.
    2. Grammar and syntax are the rules and structures that govern language. Understanding and applying grammatical rules helps students comprehend and construct sentences, enhancing their ability to make meaning from text.
    3. Inference and conclusion skills describe the abilities of drawing conclusions, making predictions, and deriving implicit meaning. These skills require readers to combine their background knowledge with information in the text to make guesses and reach conclusions.

How do the strands combine to form a process? 

These strands are interconnected and mutually supportive. Strong word recognition skills enable efficient decoding, which frees up cognitive resources for language comprehension. Similarly, robust language comprehension skills facilitate deeper word understanding and contextualized reading.

That’s how the Rope represents not just the elements of learning to read, but also the process toward fluency. As students progress, their word recognition becomes increasingly automatic, and their language comprehension becomes increasingly strategic.

  • In the word recognition strand, readers focus on decoding individual words, relying on phonological awareness and phonics. With practice and instruction, word recognition becomes more efficient and effortless. This automaticity frees up cognitive resources for comprehension and higher-level thinking.
  • In the language comprehension strand, readers learn to engage actively with the text, ask questions, make connections and predictions, and monitor understanding. Strategic readers use comprehension strategies—summarizing, visualizing, self-questioning, and more—to deepen their understanding of what’s on the page. 

Those two processes are intertwined and interdependent. The Rope shows that, as readers progress, they get better at combining automatic word recognition with strategic reading skills.

They can effortlessly recognize words, allowing them to focus on comprehending the text and performing higher-level thinking. By strategically applying language comprehension skills, readers construct meaning, make connections, and analyze the text.

This combination of automatic and strategic skills supports reading and facilitates engagement with more complex and challenging texts.

How does the Rope relate to the five foundational skills of reading? 

The Rope is made of a lot more than the five foundational skills of reading (phonics, phonemic awareness, vocabulary, fluency, and comprehension). How does it all add up?

While the Reading Rope does not explicitly mention these five skills as a distinct set, the strands do align with them. Here’s how:

  1. Phonological awareness (and phonemic awareness) is represented in the Rope’s word recognition strand.
  2. Phonics is also a critical aspect of word recognition.
  3. Fluency—often considered a combination of accuracy, rate, and prosody—is not represented as its own strand, but it’s closely related to the word recognition strand. As students develop automaticity in word recognition, their reading fluency improves.
  4. Vocabulary aligns with the language comprehension strand. The development of a robust vocabulary enhances reading comprehension by enabling students to understand and infer the meaning of words encountered in the text.
  5. Comprehension is built into the language comprehension strand. It includes skills such as understanding sentence structure, making inferences, drawing conclusions, and connecting prior knowledge. These skills help the reader get meaning from the text and connect to higher-level thinking.

The Reading Rope is a game-changing tool, clarifying a complex process and helping teachers target instruction. When the strands come together, they weave the strongest possible foundation for student reading success.

Familias y cuidadores, ¡bienvenidos a Amplify Desmos Math Texas
K–5!

Bienvenidos al Caregiver Hub de Amplify Desmos Math K–5. Esperamos que su estudiante disfrute explorando las matemáticas, trabajando con amigos para resolver problemas y aprendiendo conceptos nuevos e interesantes. ¡Y esperamos que ustedes disfruten de la experiencia matemática junto con ellos! A continuación, encontrarán algunas sugerencias y recursos para apoyar su aprendizaje en casa.

For the English version, please click here.

Tres niños participan en una actividad práctica de matemáticas con tarjetas numéricas y fichas sobre una cuadrícula. El fondo está decorado con peces y símbolos matemáticos.

Recursos de la unidad para cuidadores

Para cada unidad del programa, hemos creado un Recurso para cuidadores (Caregiver Resource), el cual ofrece un resumen de los conceptos clave, además de un problema del conjunto de práctica de la lección que usted puede resolver con su estudiante. Encontrará un Recurso para cuidadores en cada unidad, disponible tanto en inglés como en español.

Ingrese a Amplify Desmos Math en casa.

Además del cuaderno de ejercicios impreso de la Edición del estudiante (Student Edition), su estudiante tendrá acceso digital a todos los materiales de aprendizaje, práctica y evaluación a través de la plataforma de Amplify. Es posible acceder al currículo digital desde la escuela o desde casa siguiendo estas instrucciones:

  • Haga clic en el botón Amplify Desmos Math.
  • Seleccione Log in with Amplify.
  • Ingrese el nombre de usuario y la contraseña de su estudiante que el maestro les haya proporcionado.
  • Seleccione el nivel escolar deseado.

Una vez iniciada la sesión, los cuidadores pueden ver el trabajo de los estudiantes abriendo tareas anteriores.

Aprenda a navegar por la página de inicio de los estudiantes (student home page).

Amplify Desmos Math

Vistazo general a los materiales

Amplify Desmos Math Texas promueve el aprendizaje mixto por medio de materiales impresos de apoyo y una experiencia digital única. Todas las lecciones en los grados K a 5 están disponibles en un cuaderno de trabajo de la Edición del estudiante. Muchas de las lecciones incluyen actividades prácticas con materiales manipulables, herramientas que ayudan a que los estudiantes hagan tangibles conceptos abstractos para poder comprenderlos. Su estudiante también trabajará con dispositivos digitales durante un número de lecciones que es apropiado para su edad.

Cuando los estudiantes usan dispositivos, los maestros pueden supervisar su trabajo en tiempo real, asegurándose de que reciban el apoyo exacto que necesitan en cada parte de la lección, dentro y fuera del salón de clase.

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.

Componentes de una lección

A los estudiantes en un aula de Amplify Desmos Math Texas se les ve (¡y se les escucha!) haciendo preguntas, debatiendo respuestas, justificando su razonamiento, enfrentándose a problemas y trabajando juntos o de forma individual.

Una lección típica de Amplify Desmos Math Texas incluye:

  • Calentamiento: Un problema breve e interesante para que los estudiantes se sientan atraídos a la lección.
  • Actividades: Una o dos actividades cortas que desafíen las destrezas de los estudiantes para resolver problemas.
  • Síntesis: Una discusión para revisar y consolidar los conceptos importantes de la lección.
  • Demuestra lo que sabes (Show What You Know) y Reflexión (Reflection): Preguntas para que los estudiantes demuestren lo que aprendieron en la lección. (Nota: La evaluación de la lección “Demuestra lo que sabes” es opcional en kindergarten y primer grado).
  • Centros (Centers): Estaciones de actividades dirigidas por los estudiantes que refuerzan los conceptos matemáticos que aprendieron durante las actividades de la lección usando formatos interactivos y, a menudo, lúdicos. En kindergarten y primer grado, el tiempo destinado a los Centros se incorpora en los últimos 15 minutos de cada lección.

Para apoyar, fortalecer y ampliar el aprendizaje de los estudiantes después de la lección, Amplify Desmos Math Texas ofrece opciones de:

  • Diferenciación: Minilecciones (Mini-Lessons), Centros, Extensiones, Boost Personalized Learning y Fluency Practice (Práctica de la fluidez).
  • Práctica: Problemas adicionales que el maestro puede asignar para trabajar en clase o como tarea.

Apoye el aprendizaje de las matemáticas en casa.

Usted puede apoyar el aprendizaje de las matemáticas de su estudiante fuera de la escuela de muchas maneras:

El maestro puede asignar problemas de práctica al final de cada lección como trabajo en clase o como tarea. Si su estudiante ya ha completado los problemas de práctica de la lección, pídale que le explique cómo resolvió cada problema o que comente las partes que le resultaron difíciles. Haga preguntas de seguimiento para fomentar el uso del lenguaje matemático mientras explica su razonamiento, por ejemplo: “¿Cómo lo sabes?”, “¿Cómo puedes demostrar tu razonamiento?” o “¿Cómo describirías eso?”. Si su estudiante no consigue avanzar, hágale preguntas de apoyo, por ejemplo: “¿Qué información de aquí conoces?” o “¿Cómo podrías representar este problema?”.

Los juegos de Centro (Center game) se alinean con las matemáticas de la unidad y se pueden jugar con los estudiantes fuera de clase. Es posible que el maestro les explique a los estudiantes cómo jugar un juego de Centro durante o después de una lección. Si no es así, usted puede enseñarle a jugar usando instrucciones fáciles de seguir.

kindergarten
1.er grado
2.er grado
3.er grado
4.er grado
  • ¡Muy pronto!
5.er grado
kindergarten
1.er grado
2.er grado
3.er grado
4.er grado
5.er grado

Relacione las matemáticas con actividades cotidianas en casa, ya sea ir de compras, preparar la comida o planear una visita a la tienda. Su estudiante puede ayudarle a calcular cuántas manzanas más hay en el carrito que naranjas, dividir un sándwich en cuatro partes o calcular cuánto cambio recibirá si paga con un billete de diez dólares. Anímelo a señalar las maneras en que ustedes usan las matemáticas en sus quehaceres diarios.

Recuerde al estudiante que bloquearse es una parte necesaria (incluso benéfica) del proceso de aprendizaje. Muchos estudiantes (al igual que personas adultas) temen equivocarse, pero las investigaciones demuestran que cometer errores ayuda a que nuestro cerebro se desarrolle. Cuando su estudiante no consiga avanzar en un problema, anímelo a seguir intentando diferentes estrategias, aunque no esté seguro de si son correctas.

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.

Amplify Desmos Math

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.

Season 6, Episode 14

Special interlude #1: Why the Science of Reading isn’t just about reading

Back in October 2019, Natalie Wexler joined Susan Lambert as the very first guest on Science of Reading: The Podcast. Now—more than three years and three million downloads later—Science of Reading: The Podcast welcomes Natalie back on the show. She and Susan discuss what she’s seen in the 3+ years since releasing her groundbreaking book The Knowledge Gap, and delve into the importance of managing cognitive load, building long-term memory, writing, and the broader science of literacy. Lastly, Natalie shares what she hopes to see in the education headlines in the not-so-distant future.

Join Science of Reading: The Community to connect with fellow educators.

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Transcripts and additional resources:

Bloom’s Taxonomy
The Writing Revolution website
Knowledge Matters Campaign
Statement from Knowledge Matters Campaign
One Sentence At A Time, by Judith C. Hochman and Natalie Wexler
Transcript

Meet Our Guest(s):

Natalie Wexler

Natalie Wexler

Natalie Wexler is an education writer and the author of The Knowledge Gap: The Hidden Cause of America’s Broken Education System—And How to Fix It (Avery 2019). She is also the co-author, with Judith C. Hochman, of The Writing Revolution: A Guide to Advancing Thinking Through Writing in All Subjects and Grades (Jossey-Bass, 2017), and a senior contributor to the education channel on Forbes.com. 

Natalie’s articles and essays on education and other topics have appeared in The New York Times, The Washington Post, The Atlantic, The Wall Street Journal, the MIT Technology Review, The American Scholar, and other publications. She has spoken on education before a wide variety of groups and appeared on a number of TV and radio shows, including Morning Joe and NPR’s On Point and 1A.

She holds a bachelor’s degree from Harvard University, a masters’ degree in history from the University of Sussex (UK), and a JD from the University of Pennsylvania. She has also worked as a reporter, a Supreme Court law clerk, a lawyer, and a legal historian.

Meet Our Host: Susan Lambert

Susan Lambert is the chief academic officer of elementary humanities at Amplify, and the host of Science of Reading: The Podcast. Her career, including classroom teacher, building administrator, and district-level leader, has been focused on creating high-quality learning environments using evidence-based practices. Susan is a mom of four, a grandma of four, a world traveler, and a collector of stories. Her professional quarantine accomplishments include the production of knowledge-based learning modules for kindergarten through grade-two students, available through Amplify’s free resources website and Wide Open Schools.

Susan-Lambert_Headshot

Quotes

“Here's the catch about writing: It's hugely important. It can help cement knowledge and long-term memory, and deepen knowledge.”

—Natalie Wexler

“Even if you as a teacher have doubts about the curriculum. It's really important to give it your best shot and approach it with enthusiasm.”

—Natalie Wexler

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