EM2 Tennessee Learn | Grade K Module 4 by Great Minds

A Story of Units®

Part–Part–Total LEARN ▸ Module 4 ▸ Composition and Decomposition

Student

Talking Tool I Can Share My Thinking

My drawing shows . . . . I did it this way because . . . . I think

I Can Agree or Disagree

because . . . .

I agree because . . . . I disagree because . . . . I did it a diferent way. I . . . .

I Can Ask Questions

How did you . . . ? Why did you . . . ? Can you explain . . . ?

I Can Say It Again

I heard you say . . . . said . . . . Can you say it another way?

What does this painting have to do with math? Piet Mondrian reduced his subjects to colorful geometric shapes. In this painting, bold, black horizontal and vertical lines frame the colorful squares and rectangles in red, black, yellow, and more. Do any of the shapes seem similar? Do you notice that the smaller shapes are added together to create bigger shapes? How many shapes do you see in total? On the cover Composition with Large Red Plane, Yellow, Black, Gray and Blue, 1921 Piet Mondrian, Dutch, 1872–1944 Oil on canvas Kunstmuseum Den Haag, The Hague, Netherlands Piet Mondrian (1872–1944), Composition with Large Red Plane, Yellow, Black, Gray and Blue, 1921. Oil on canvas. Kunstmuseum Den Haag, The Hague, Netherlands. Image copyright © Kunstmuseum Den Haag. Image credit: Bridgeman Images

Great Minds® is the creator of Eureka Math®, Wit & Wisdom®, Alexandria Plan™, and PhD Science®. Published by Great Minds PBC. greatminds.org Copyright © 2022 Great Minds PBC. All rights reserved. No part of this work may be reproduced or used in any form or by any means—graphic, electronic, or mechanical, including photocopying or information storage and retrieval systems—without written permission from the copyright holder. Printed in the USA 1 2 3 4 5 6 7 8 9 10 XXX 25 24 23 22 21 ISBN 978-1-63898-487-0

A Story of Units®

Part–Part–Total ▸ K LEARN

Module

1 2 3 4 5 6

Counting and Cardinality

Two- and Three-Dimensional Shapes

Comparison

Composition and Decomposition

Addition and Subtraction

Place Value Foundations

EUREKA MATH2 Tennessee Edition

K ▸ M4

Contents Composition and Decomposition Topic A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Topic C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

Explore Composition and Decomposition

Model Composition and Decomposition in Story Problems

Lesson 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Compose flat shapes and count the parts.

Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

Model put together with total unknown story problems.

Decompose flat shapes and count the parts.

Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Decompose a group to identify parts and total.

Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Decompose a group and record parts and total by using a number bond.

Topic B

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

Record Composition and Decomposition Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Sort to decompose a number in more than one way.

Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Decompose a number in more than one way and record.

Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Draw to represent put together with total unknown story problems. Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Choose a math tool to solve put together with total unknown story problems.

Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Model take apart with both addends unknown story situations. Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Choose a math tool to solve take apart with both addends unknown story situations.

Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 Compose and decompose numbers and shapes. Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

Find partners to 5.

Organize, count, and represent a collection of objects.

Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Find partners to 10.

Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . This lesson appears only in the Teach book.

Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 Compose shapes in more than one way.

Resources

Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Sort and record the decomposition with a number bond.

Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . 70

Module 4 Topic A

FAMILY MATH Explore Composition and Decomposition Dear Family,

Students are learning to put together and take apart shapes and numbers. They use small shapes to create a larger shape. Then they count how many shapes, or parts, are used to make the whole shape. They use dot cards and pictures to find smaller numbers, or parts, inside of a larger number. Your child might say, “There are 7 dots. I see 5 on one side and 2 on the other.” We then write a number bond to show the parts and total. Look for more information about number bonds on the back of this page.

Words We Are Learning

part

There are 5 parts.

whole

total This triangle uses 5 shapes, or parts.

Circling 5 dots and 2 dots is one way to break apart the 7-dot card. The number bond shows the part–total thinking.

At-Home Activities Activity Idea 1 Puzzle Time! Invite your child to put a puzzle together with you. Puzzles are a fun way to see how smaller parts can be put together to make a larger shape, providing students with a hands-on experience with part–whole relationships.

Activity Idea 2 What Parts Do You See? Invite your child to look at each picture and circle the parts. Ask your child to explain how they sorted. There are many different ways to break apart the total. Some children may even break the total into more than two parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA

Number Bonds What is a number bond? A number bond is a tool that helps students see that numbers can be put together to make a total. It can also show how a number, or total, can be broken into parts in different ways. This is known as the part–total relationship. Why do we use number bonds? Number bonds serve at least three purposes: • Help students think flexibly about numbers • Prepare students to do quick calculations in their heads • Offer a visual structure that helps students learn basic facts more easily From the beginning of kindergarten, students start to learn part–total relationships. They do this when they count the items in a group, sort the items into smaller groups, and then count the items in each smaller group. The learning grows when they see the same number separated in many ways, initially through sorting the same group of objects in different ways and noticing that the total does not change. Students become ready to understand addition as putting parts together and subtraction as taking away a part of the total as they develop a deeper understanding of part–total relationships.

5 2 Sorting by color shows that 5 bears can be sorted into 3 big bears and 2 little bears.

There are 5 dots and 2 dots on a 7-dot card.

FA M I LY M AT H ▸ Module 4 ▸ Topic A

There are 5 dogs. 2 dogs are light brown, 1 dog is dark brown, and 2 dogs are white.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 1 ▸ Shape Creators Puzzles

Fill in the puzzles.

There are

parts.

There are

parts.

There are

parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 2 ▸ Rectangles

K ▸ M4 ▸ TA ▸ Lesson 2 ▸ Color Squares

Color Squares

Cut sheet in half before distributing to students.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 2 ▸ Color Squares

Cut sheet in half before distributing to students.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 2

Name

My square has

parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 2

Name Write how many parts.

There are

parts.

There are

parts.

There are

parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 2

Draw lines to break the shapes into parts. Write how many parts.

PROBLEM SET

There are

parts.

There are

parts.

There are

parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ Lesson 3 ▸ Sprint ▸ Counting on the Rekenrek

Sprint Circle the total.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ Lesson 3 ▸ Sprint ▸ Counting on the Rekenrek

Number Correct:

Circle the total.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ Lesson 3 ▸ Sprint ▸ Counting on the Rekenrek

Number Correct:

Circle the total.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 3

Name Circle the parts. Fill in the number sentence.

and

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 3

PROBLEM SET

and

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 3

and

PROBLEM SET

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 4 ▸ Number Bond Hunt

Name Walk to a picture. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 4 ▸ Number Bond Hunt

EUREKA MATH2 Tennessee Edition

1 © Great Minds PBC •

K ▸ M4 ▸ TA ▸ Lesson 4 ▸ Number Bond

10 29

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TA ▸ Lesson 4 ▸ Number Bond

1 30

Module 4 Topic B

FAMILY MATH Record Composition and Decomposition Dear Family,

Students are learning to use objects and pictures to sort in multiple ways and record each sort with a number bond. They see that the same number can be broken apart in more than one way by recording multiple sorts. For example, 6 can be broken apart into partners of 1 and 5, 4 and 2, 6 and 0, or 3 and 3. This foundational skill of knowing how numbers can be broken up in different ways will help children beyond kindergarten.

Words We Are Learning Partners to 5, 6, 7, 8, 9, and 10

6 3

6 4

1 2

2 3

2 color

5 4

height

5 animal

1 1

A student finds multiple ways to sort and record.

A student sorts bears by color, height, and animal and records in a number bond to see many partners to 5.

At-Home Activities Activity Idea 1 Sort and Record with a Number Bond Give your child a group of 5 to 10 items, such as toys, markers, or coins, to sort into different categories (color, shape, size, etc.). Let your child decide how to sort. Then encourage them to record the sort with a number bond. Ask them to sort a different way and record the new sort with a number bond. © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB

Activity Idea 2 Shake Those Coins Gather 6 pennies and place them in a cup. Ask your child to shake and spill the coins. Count the coins that are heads up and those that are tails up. Then draw a number bond to match. Once your child has practiced with 6 coins, repeat with numbers 7 to 10.

Partners to 5, 6, 7, 8, 9, and 10 Since the beginning of kindergarten, students have sorted objects. Now, objects and pictures are sorted in multiple ways and each sort is recorded in a number bond to show how the number can be broken apart. When students find ways to break a number into two parts, they find partners to that number. For example, 1 and 4 are partners to 5. Finding and recording all the partners to a number helps students see the various ways that number can be broken apart. Students practice finding partners to 6 by playing a new game called Shake Those Disks. The game is played by placing 6 two-color counters in a cup, shaking it, and then spilling them onto a desk. Students place all the yellow and red counters together in a line and then record the parts and total in a number bond. Students continue to shake and spill the counters until all number bonds on the recording page are completed.

Partners to 5 5 is 5 and 0. 5 is 4 and 1. 5 is 3 and 2. 5 is 2 and 3. 5 is 1 and 4. 5 is 0 and 5. Partners to 5 are recorded in order to highlight the number patterns.

4 5

5 3

5 2

A picture is sorted in more than one way and recorded in number bonds.

FA M I LY M AT H ▸ Module 4 ▸ Topic B

Shake Those Disks can be played to practice finding partners to any number.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 5

Name Sort. Fill in the number bond.

Sort in two different ways. Fill in the number bonds.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 5

PROBLEM SET

K ▸ M4 ▸ TB ▸ Shake Those Disks

7 6 5 4 1

Shake Those Disks

9 10

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 6 ▸ Sprint ▸ Number Order to 5

Sprint Fill in the missing number.

0 1 2 3 4 5 4

2 1 0

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 6 ▸ Sprint ▸ Number Order to 5

Number Correct:

Fill in the missing number.

0 1 2 3 4 0 1 2 3 0 1 2 0 1

4 3 2 1 0 5 4 5

3 4 5

2 3 4 5 1 2 3 4 5

0 0 1 0 1 2 38

2 3 4 5 3 4 5

3 2 1 0

5 4

2 1 0

5 4 3

1 0

5 4 3 2

5 4 3 2 1 0 1 2 3 5 4

4 5

5 2 1 0

1 2 3 4 5 © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 6 ▸ Sprint ▸ Number Order to 5

Number Correct:

Fill in the missing number.

0 1 2 3 4 0 1 2 3 0 1 2 0 1

4 3 2 1 0 5 4 5

3 4 5

2 3 4 5 1 2 3 4 5

0 0 1 0 1 2 40

2 3 4 5 3 4 5

3 2 1 0

5 4

2 1 0

5 4 3

1 0

5 4 3 2

5 4 3 2 1 0 1 2 3 5 4

4 5

5 2 1 0

1 2 3 4 5 © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 7

Name Sort in two different ways. Write a number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 7

Color the 5-sticks in different ways. Write a number bond.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 8

Name Sort in two different ways. Write a number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 8

Color the 5-groups in different ways. Write a number bond.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 9 ▸ Pattern Block Parts

Fill in the puzzles in two different ways.

There are

parts. There are

parts.

There are

parts. There are

parts.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TB ▸ Lesson 10

Name Draw to show how you sorted. Write a number bond.

I sorted

Module 4 Topic C

FAMILY MATH Model Composition and Decomposition in Story Problems Dear Family,

Students are learning to solve story problems. The foundational work of breaking apart and putting together numbers is now applied by using story contexts. Students listen to a story and discuss what they know and don’t know to help them make sense of the story. Students then model and solve the problem by using objects, fingers, drawings, or their memory.

3 4

At-Home Activities Activity Idea 1 Nature Stories Take a walk or drive with your child. Create stories with objects you find outside. For example, “I see 3 big rocks and 2 small rocks. How many rocks are there?” Give your child time to count the rocks to find how many.

Activity Idea 2 Story Problem Give your child a group of 7 items, such as beans, toys, or markers. Invite them to listen to the following story. There are 7 beans. Some are on the table and some are on the floor. Ask them to imagine how many beans could be on the table and on the floor. Then ask them to use the beans to show you what they imagine and draw a number bond to match. Repeat the story again and ask your child to break apart the 7 beans a different way.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC

Modeling Story Problems Work with story problems is foundational to understanding the relationship of addition and subtraction. In the classroom, students identify and choose math tools to help them show the problem and explain their thinking. Drawing allows students to recreate the story and make sense of the problem. Making sense of the story eliminates the need to have students look for key words, such as more and less, to help them know whether they should add or subtract. Key words can be misleading and detract from students’ overall understanding. In kindergarten, students learn the difference between art and math drawings. Art takes time and includes details, but math drawings are simple and quick. Students see that math drawings are a more efficient way to organize and keep track of information.

Art Drawing

FA M I LY M AT H ▸ Module 4 ▸ Topic C

Math Drawing

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 11

Name Walk to a picture. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 12

Name Make a math drawing. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 12

LESSON

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 13 ▸ Math Drawing

Make a math drawing. Write a number bond or number sentence.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 13 ▸ Math Drawing

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 14 ▸ Number Bond

2 3 4 5 6 7 8 9 10

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 14 ▸ Number Bond

1 58

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 14

Name Color. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 14

Color the 7-sticks in different ways. Fill in the number bond.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 1

Circle the partners to 8.

9 10

K ▸ M4 ▸ TC ▸ Lesson 15 ▸ Number Path

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 15

Name Color. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 15

Color the 9-sticks in different ways. Fill in the number bond.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 16

Name Walk to a picture. Fill in the number bond.

EUREKA MATH2 Tennessee Edition

K ▸ M4 ▸ TC ▸ Lesson 17

Name Draw your collection to show how you counted.

EUREKA MATH2 Tennessee Edition

K ▸ M4

Credits Great Minds® has made every effort to obtain permission for the reprinting of all copyrighted material. If any owner of copyrighted material is not acknowledged herein, please contact Great Minds for proper acknowledgment in all future editions and reprints of this module. Cover, Piet Mondrian (1872–1944), Composition with Large Red Plane, Yellow, Black, Gray and Blue, 1921. Oil on canvas. Kunstmuseum Den Haag, The Hague, Netherlands. Image copyright © Kunstmuseum Den Haag. Image credit: Bridgeman Images; All other images are the property of Great Minds.

EUREKA MATH2 Tennessee Edition

K ▸ M4

Acknowledgments Leslie S. Arceneaux, Beth Barnes, Christine Bell, Lauren Brown, Dawn Burns, Karla Childs, Dr. Hazel Coltharp, Mary Christensen-Cooper, Cheri DeBusk, Stephanie DeGiulio, Jill Diniz, Brittany duPont, Melissa Elias, Lacy Endo-Peery, Krysta Gibbs, Melanie Gutierrez, Eddie Hampton, Rachel Hylton, Travis Jones, Kelly Kagamas Tomkies, Amanda Kaplan, Jennifer Koepp Neeley, Liz Krisher, Courtney Lowe, Ben McCarty, Kate McGill Austin, Cristina Metcalf, Ashley Meyer, Melissa Mink, Katie Moore, Bruce Myers, Marya Myers, Maximilian Peiler-Burrows, Shelley Petre, Carolyn Potts, John Reynolds, Meri Robie-Craven, Robyn Sorenson, Julie Stoehr, Mary Swanson, James Tanton, Julia Tessler, Philippa Walker Trevor Barnes, Brianna Bemel, Lisa Buckley, Adam Cardais, Christina Cooper, Natasha Curtis, Jessica Dahl, Brandon Dawley, Delsena Draper, Sandy Engelman, Tamara Estrada, Soudea Forbes, Jen Forbus, Reba Frederics, Liz Gabbard, Diana Ghazzawi, Lisa Giddens-White, Laurie Gonsoulin, Nathan Hall, Cassie Hart, Marcela Hernandez, Rachel Hirsh, Abbi Hoerst, Libby Howard, Amy Kanjuka, Ashley Kelley, Lisa King, Sarah Kopec, Drew Krepp, Crystal Love, Maya Márquez, Siena Mazero, Cindy Medici, Ivonne Mercado, Sandra Mercado, Brian Methe, Patricia Mickelberry, Mary-Lise Nazaire, Corinne Newbegin, Max Oosterbaan, Tamara Otto, Christine Palmtag, Andy Peterson, Lizette Porras, Karen Rollhauser, Neela Roy, Gina Schenck, Amy Schoon, Aaron Shields, Leigh Sterten, Mary Sudul, Lisa Sweeney, Samuel Weyand, Dave White, Charmaine Whitman, Nicole Williams, Glenda Wisenburn-Burke, Howard Yaffe

Talking Tool I Can Share My Thinking

My drawing shows . . . . I did it this way because . . . . I think

I Can Agree or Disagree

because . . . .

I agree because . . . . I disagree because . . . . I did it a diferent way. I . . . .

I Can Ask Questions

How did you . . . ? Why did you . . . ? Can you explain . . . ?

I Can Say It Again

I heard you say . . . . said . . . . Can you say it another way?

MATH IS EVERYWHERE Do you want to compare how fast you and your friends can run? Or estimate how many bees are in a hive? Or calculate your batting average? Math lies behind so many of life’s wonders, puzzles, and plans. From ancient times to today, we have used math to construct pyramids, sail the seas, build skyscrapers—and even send spacecraft to Mars. Fueled by your curiosity to understand the world, math will propel you down any path you choose. Ready to get started?

Module 1 Counting and Cardinality Module 2 Two- and Three-Dimensional Shapes Module 3 Comparison Module 4 Composition and Decomposition Module 5 Addition and Subtraction Module 6 Place Value Foundations

What does this painting have to do with math? Piet Mondrian reduced his subjects into colorful geometric shapes. In this painting bold, black horizontal and vertical lines frame the colorful squares and rectangles in red, black, yellow, and more. Do any of the shapes seem similar? Do you notice that the smaller shapes are added together to create the bigger shape? How many shapes do you see in total? On the cover Composition with Large Red Plane, Yellow, Black, Gray and Blue, 1921 Piet Mondrian, Dutch, 1872–1944 Oil on canvas Kunstmuseum Den Haag, The Hague, Netherlands Piet Mondrian, Composition with Large Red Plane, Yellow, Black, Gray and Blue, 1921, Kunstmuseum Den Haag, The Hague, Netherlands. Image credit: Bridgeman Images

ISBN 978-1-63898-487-0

781638 984870