EM2 Tennessee Learn | Grade 2 Module 6 by Great Minds

A Story of Units®

Ten Tens LEARN ▸ Module 6 ▸ Multiplication and Division Foundations

Student

Talking Tool Share Your Thinking

I know . . . . I did it this way because . . . . The answer is

because . . . .

My drawing shows . . . . Agree or Disagree

I agree because . . . . That is true because . . . . I disagree because . . . . That is not true because . . . . Do you agree or disagree with

Ask for Reasoning

Why did you . . . ? Can you explain . . . ? What can we do first? How is

Say It Again

related to

I heard you say . . . . said . . . . Another way to say that is . . . . What does that mean?

Content Terms

Place a sticky note here and add content terms.

? Why?

What does this painting have to do with math? The bold brushstrokes and vivid colors in Maurice Prendergast’s painting invite us to step inside this lively street scene in Venice, Italy. A group of ladies with parasols is crossing a bridge. Getting lost in a crowd can be intimidating, but as we learn about base ten, counting large numbers—of people, parasols, or anything—will be a breeze. On the cover Ponte della Paglia, 1898–1899; completed 1922 Maurice Prendergast, American, 1858–1924 Oil on canvas The Phillips Collection, Washington, DC, USA Maurice Prendergast (1858–1924), Ponte della Paglia, ca. 1898/reworked 1922. Oil on canvas. The Phillips Collection, Washington, DC, USA. Acquired 1922.

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 978-1-63898-501-3

A Story of Units®

Ten Tens ▸ 2 LEARN

Module

1 2 3 4 5 6

Place Value Concepts Through Metric Measurement and Data ∙ Place Value, Counting, and Comparing Within 1,000

Addition and Subtraction Within 200

Shapes and Time with Fraction Concepts

Addition and Subtraction Within 1,000

Money, Data, and Customary Measurement

Multiplication and Division Foundations

EUREKA MATH2 Tennessee Edition

2 ▸ M6

Contents Multiplication and Division Foundations Topic A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Topic B

Count and Problem Solve with Equal Groups

Arrays and Equal Groups

Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Compose equal groups and write repeated addition equations.

Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Organize, count, and represent a collection of objects. Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Use math drawings to represent equal groups and relate them to repeated addition.

Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Represent equal groups with a tape diagram.

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47

Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Compose arrays with rows and columns and use a repeated count to find the total. Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Decompose arrays into rows and columns and relate them to repeated addition.

Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Distinguish between rows and columns and use math drawings to represent arrays. Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Use square tiles to create arrays with gaps.

EUREKA MATH2 Tennessee Edition

2 ▸ M6

Topic C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

Topic D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

Rectangular Arrays as a Foundation for Multiplication and Division

The Meaning of Even and Odd Numbers

Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 Determine the attributes of a square array.

Relate doubles to even numbers and write equations to express the sums.

Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Use math drawings to compose a rectangle.

Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 Pair objects and skip-count to determine whether a number is even or odd.

Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109

Decompose an array to find the total efficiently.

Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

Use rectangular arrays to investigate combinations of even and odd numbers.

Reason about how equal arrays can be composed differently.

Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Decompose an array and relate it to a number bond.

Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 Solve word problems that involve equal groups and arrays. Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Use various strategies to fluently add and subtract within 100 and know all sums and differences within 30 from memory.

Resources Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 154

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 1

Name

1. Circle groups of 3 peaches.

There are

groups of 3 peaches.

2. Circle groups of 5 sharks.

There are

groups of 5 sharks.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 1

3. Circle cupcakes to make 2 equal groups.

There are 2 groups of There are

cupcakes.

4. Circle cupcakes to make 3 equal groups.

There are 3 groups of There are

PROBLEM SET

cupcakes.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 1

Read Tam makes 6 groups of raisins. There are 2 raisins in each group. How many raisins are there in all? Draw

Write

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 1

Read Hope has 4 dogs. She gives each dog 5 bones. How many bones does Hope give the dogs in all? Draw

Write

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 1

Name

Read Ms. Bell put 6 apples into each basket. Ms. Bell has 3 baskets. How many apples did Ms. Bell put into the baskets in all? Draw

Write

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

Counting Collection 1

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

-------------~-------------~-------------~-------------~-------------~-------------

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EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

Counting Collection 2

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

--------------------r-------------------~-------------------- -------------------- -------------------

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EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

--------------------r-------------------~-------------------- -------------------- -------------------

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--------------------~-------------------1-------------------- -------------------1--------------------' I

--------------------r-------------------,--------------------r-------------------~-------------------I

-------------------- ------------------- -------------------- ------------------- --------------------,

@/f=7 ----------------------------------------------------------- ----------------------------------------

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

Counting Collection 3

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

-------------------------r------------------------- ------------------------~-------------------------

-------------------------r------------------------- ------------------------,------------------------I

@/f=7 ----------------------- --------------------------------------------------- ------------------------

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

Counting Collection 4

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2 ▸ Counting Collections

:---------------------------------------------------·

-------------------

-------------------------------~

EUREKA MATH2 Tennessee Edition

Name

2 ▸ M6 ▸ TA ▸ Lesson 2

Partner

What did you count? Your estimate: Show how you organized and counted.

How many did you count in all? Write an equation to show how you counted.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2

Self-reflection: Write one thing that worked well for you and your partner. Tell why it worked.

LESSON

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2

Name

Complete each statement. 1.

5 groups of

3 groups of

= .

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2

3. Draw 1 more group of 3.

5 groups of

4. Draw 1 more group of 6.

groups of 6 is

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2

5. Fix the picture to show 4 equal groups with the 12 strawberries.

4 groups of

6. Draw 6 groups of 2.

+ 6 groups of © Great Minds PBC •

+ is

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 2

7. Draw 5 groups of 3.

5 groups of

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 3

Name

Write the equation that matches the picture. Then group the addends to show a more efficient way to add. 1.

+ 4 groups of

is equal to 2 groups of

+ 4 groups of

is equal to 2 groups of

= .

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 3

+ 4 groups of

is equal to 2 groups of

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 3

+ +

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 3

Name

Write the equation that matches the picture. Then group the addends to show a more efficient way to add.

+ +

= =

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 4

Name

Write the equation. Then complete the statement. 1.

+ 6 groups of 5 is

? 5

groups of 3.

+ 4 groups of 3 is © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 4

? 3

+ 4 groups of

+ is

Draw a tape diagram to find the total. 5.

+ 6.

2+2+2+2+2+2=

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA ▸ Lesson 4

4+4+4+4+4=

8. 4 groups of

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TA

Name

Draw a tape diagram to find the total. 1.

4+4+4+4=

2. 3 groups of 5 is equal to

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 5

Name

1. Circle groups of 2.

4 rows of 2

Redraw the groups in 4 equal rows.

2. Circle groups of 4. Redraw the groups in rows and columns.

3. Circle groups of 5. Redraw the groups in rows and columns.

rows of 4

columns of 4

rows of 5

columns of 5

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 5

4. Circle the rows.

Circle the columns.

rows

columns

5. Circle the rows.

Circle the columns.

rows

columns

6. Draw an array with 12 circles.

7. Draw a different array with 12 circles.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 5

Name

Draw an array with 24 circles.

Draw a different array with 24 circles.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 6

Name

1. Circle the rows.

2 rows of

Circle the columns.

5 columns of

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 6

2. Circle the rows.

6 rows of

Circle the columns.

3 columns of

+ 52

PROBLEM SET

= © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 6

rows of

is 15.

columns of

is 15.

Draw 1 more row. How many crackers are there now? Draw 1 more column. How many crackers are there now? 4.

rows of

columns of

. is

Show 1 fewer row. How many blueberries are there now? Show 1 fewer column. How many blueberries are there now? © Great Minds PBC •

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 6

Name

rows of

columns of

. is

Draw 1 more row. How many hearts are there now? Draw 1 more column. How many hearts are there now?

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 7

Name

1. Draw 3 rows of 5. Draw a line between each row.

2. Draw 3 columns of 5. Draw a line between each column.

3 columns of 5 is 3 rows of 5 is © Great Minds PBC •

= .

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 7

3. Draw 4 columns of 3.

4. Draw 4 rows of 3.

4 rows of 3 is equal to 4 columns of 3 is equal to

PROBLEM SET

. .

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 7

5. Draw 2 rows of 6. Draw lines between the rows and columns.

Write a repeated addition equation to match the rows.

2 rows of 6 is equal to

Write a repeated addition equation to match the columns.

6 columns of 2 is equal to

6. Draw 3 rows of 7. Then draw 1 more row.

Write a repeated addition equation to match the new array.

+ rows of © Great Minds PBC •

+ is equal to

= . PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 7

7. Draw 4 columns of 5. Then show 1 less column.

Write a repeated addition equation to match the new array.

columns of

is equal to

8. Draw 6 columns of 4. Then show 1 less column.

Write a repeated addition equation to match the new array.

columns of

PROBLEM SET

is equal to

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 7

Name

Draw an array with 5 rows of 4. Draw a line between each row.

5 rows of 4 is equal to

= .

Draw 1 more row. Write a repeated addition equation to match the new array.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 8

Name

1. Redraw the squares in an array with 3 rows.

2. Redraw the squares in an array with 5 columns.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 8

There are

squares in each row.

There are

PROBLEM SET

There are

squares in 1 row.

There are

squares in 1 column.

4 columns of The total is

squares in each column.

is equal to

= rows of

. © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 8

5. Make an array with 12 squares. Draw 2 squares in each column.

Write a repeated addition equation to match.

Draw a tape diagram to match.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB ▸ Lesson 8

6. Make an array with 21 squares. Draw 7 squares in each column.

Write a repeated addition equation to match.

Draw a tape diagram to match.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TB

Name

Make an array with 10 squares. Draw 5 squares in each column.

Write two repeated addition equations that match the array.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 9

Name

Make an array. Use square tiles with no gaps or overlaps. Write a repeated addition equation to match each array. 1. 2 rows of 5

2. 5 columns of 2

3. 3 rows of 4

4. 4 columns of 3

5. 4 rows of 4

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 9

Make two different arrays. Use square tiles with no gaps or overlaps. Write a repeated addition equation to match each array. 6. 18 square tiles

7. 24 square tiles

8. 12 square tiles

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 9

What shape is the array? How do you know?

This array has 1 more column.

What shape is the new array? How do you know?

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 9

Name

Make two different arrays. Use 20 square tiles with no gaps or overlaps. Write a repeated addition equation to match each array.

Can you make a square array with 20 square tiles? Explain.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 10

Name

Draw a rectangle array with no gaps or overlaps. Write the repeated addition equation. 1. 3 rows of 5

3 rows of 5 is equal to

2. 2 columns of 4

2 columns of 4 is equal to

+ © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 10

3. 5 rows of three + 1 row of three

6 rows of 3 is equal to

4. 5 columns of two + 3 columns of two

columns of

+ 76

PROBLEM SET

is equal to

+ © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 10

5. 2 columns of six + 2 columns of six

4 columns of 6 is equal to

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 10

6. Ming drew half of an array. Draw the other half. Then complete the number bond.

4 fours

2 fours

columns of

is equal to

rows of

PROBLEM SET

is equal to

. .

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 10

Name

Draw a rectangle array. Make 6 columns of 3 with no gaps or overlaps.

Write a repeated addition equation to match the array.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 11 ▸ Hidden Addends Mat

EUREKA MATH2 Tennessee Edition

Name

2 ▸ M6 ▸ TC ▸ Lesson 11

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 11

Name

Use square tiles to make each array. Decompose each array into 2 equal parts. Complete the number bond. Write a repeated addition equation to match each array. 1. 2 columns of 5

2. 4 rows of 3

+ +

= 85

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 11

3. Use 20 square tiles to make an array. rows of

is equal to 20.

Take away 1 row. rows of

is equal to

Take away 1 column from the new array. columns of

is equal to

4. Use 18 square tiles to make an array. rows of

is equal to 18.

Take away 1 row. rows of

is equal to

Take away 1 column from the new array. columns of

PROBLEM SET

is equal to

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 11

Name

Use square tiles to make an array with 4 columns of 3. columns of

is equal to

Decompose the array into 2 equal parts. Complete the number bond. Write a repeated addition equation to match.

+ +

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12 ▸ Arrays

Rectangle A

Rectangle B

Rectangle C

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

Name

Describe each array. 1. Rectangle A has There are

rows. squares in each row.

rows of There are

is squares in all.

Write a repeated addition equation to match the rows.

2. Rectangle B has There are

columns. squares in each column.

columns of There are

squares in all.

Write a repeated addition equation to match the columns.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

3. Make a new array with 16 squares from rectangles A and B. My array has

rows of

My array has

columns of

. .

Write a repeated addition equation to match your array.

4. Make a new array with 24 squares from rectangles A, B, and C. My array has

rows of

My array has

columns of

. .

Write two repeated addition equations to match your array.

LESSON

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

Name

1. Shade each row a different color. There are

rows.

Each row has

squares.

rows of

is equal to

2. Shade each column a different color. There are

columns.

Each column has columns of

squares. is equal to

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

3. Draw an array with 12 squares.

There are

rows of

There are

columns of

. .

Write two repeated addition equations to match.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

4. Draw an array with 20 squares.

There are

rows of

There are

columns of

. .

Write two repeated addition equations to match.

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 12

Name

Describe the array Ming drew.

1. There are

rows of

2. There are

columns of

. .

3. Write two different repeated addition equations to match.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

Name

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

16 4

4 4

100

LESSON

4 © Great Minds PBC •

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

5. Draw 1 more column.

6. Draw 1 more row.

LESSON

101

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

Name

1. Shade 5 rows of 3. Draw a number bond to represent the shaded rows of the array.

Write a repeated addition equation to match the array.

2. Shade 4 rows of 2. Draw a number bond to represent the shaded rows of the array.

Write a repeated addition equation to find the total.

103

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

3. Shade 3 columns of 5. Draw a number bond to represent the shaded columns of the array.

Write a repeated addition equation to match.

4. Draw 1 more column of 2.

Write a repeated addition equation to match the new array.

104

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC ▸ Lesson 13

5. Draw 1 more column.

Write a repeated addition equation to match the new array.

6. Draw 2 more columns.

Write a repeated addition equation to match the new array.

PROBLEM SET

105

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TC

Name

Draw two more rows.

Write a repeated addition equation to match the new array.

Shade 3 rows of 2 in the new array. Draw a number bond to represent the shaded rows of the array.

Write a repeated addition equation to match the shaded rows.

107

EUREKA MATH2 Tennessee Edition

Even

2 ▸ M6 ▸ TD ▸ Lesson 14 ▸ Even / Not Even

Not Even 4+4=8

5 + 6 = 11

35 © Great Minds PBC •

109

EUREKA MATH2 Tennessee Edition

20 + 20 = 40

2 ▸ M6 ▸ TD ▸ Lesson 14 ▸ Even / Not Even

12 + 11 = 23

50 + 50 = 100

30 + 15 = 45

111

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 14

Name

Draw to double the group. Complete each sentence. 1. There are in each group.

hearts

2. There are in each group.

faces

3. There are each group.

clouds in

113

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 14

4. There are in each group.

oranges

5. There are each group.

eggs in

Complete the sentences. Circle even or not even. 7. 2 rows of 4

6. 2 rows of 5

2 rows of 5 is equal to

114

2 rows of 4 is equal to

5 doubled is

even

PROBLEM SET

not even.

4 doubled is

even

not even.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 14

Draw the array. Complete the sentences. Circle even or not even. 8. 2 rows of 3

2 rows of 3 is equal to

9. 2 rows of 6

3 doubled is

even

not even.

2 rows of 6 is equal to

6 doubled is

even

not even.

2 columns of 7 is equal to

3 doubled is

10. 2 columns of 7

7 doubled is

even

not even.

PROBLEM SET

115

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 14

11. 2 columns of 9

2 columns of 9 is equal to

116

PROBLEM SET

9 doubled is

even

not even.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 14

Name

Draw the array. Complete the sentences. 1. 2 rows of 4

2 rows of 4 is equal to

2. 2 columns of 6

4 doubled is

even

not even.

2 columns of 6 is equal to

6 doubled is

even

not even.

117

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 15

Name

Skip-count each column by twos. Then circle even or odd. 1.

The total number of dots is

even

odd.

Make pairs. Circle even or odd. 2.

even

odd

even

odd

119

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 15

even

odd

even

odd

Redraw each set of dots in columns of two. Circle even or odd. 6.

There are

dots.

The total number of dots is

120

PROBLEM SET

even

odd.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 15

There are

dots.

The total number of dots is 8.

even

1+1=

2+2=

3+3=

4+4=

5+5=

6+6=

7+7=

8+8=

9+9=

odd.

10 + 10 = Look at the sums. What pattern do you see?

PROBLEM SET

121

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 15

9. Find the unknown numbers.

10, 12, 14,

, 18, 20,

, 36,

, 26,

, 30,

The unknown numbers are

even

odd.

10. Find the unknown numbers.

10,

, 12,

20,

, 22,

28,

, 30,

, 14,

, 16,

, 24,

The unknown numbers are

even

, 18,

, 26,

odd.

Circle even or odd. Tell how you know. 11.

28 even

122

PROBLEM SET

31 odd

even

odd

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 15

Name

Circle even or odd. Tell how you know. 1.

25 even

16 even

odd

123

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 16

Name

Draw an array to match the objects. Circle even or odd. 1.

Draw an array.

even

odd

Redraw your array with 1 less.

even

odd

Draw an array.

even

odd

Redraw your array with 1 more.

even

odd

125

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 16

Draw an array.

even

Redraw your array with 1 more.

odd

even

odd

Add. Label each addend and sum with E (even) or O (odd). The first one is done for you.

5 + 5 = 10

11 + 2 =

O + O = E 6.

14 + 6 = +

126

PROBLEM SET

3 + 19 = +

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 16

Write two equations. Circle if the sum is even or odd. 8. Add an even number to an even number.

even

odd

Add an even number to an odd number.

even

odd

PROBLEM SET

127

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 16

Name

Draw an array to match the buttons. Circle even or odd.

Draw an array.

even

odd

Redraw your array with 1 less.

even

odd

129

EUREKA MATH2 Tennessee Edition

Name

2 ▸ M6 ▸ TD ▸ Lesson 17

Read There are 2 rows of 3 cranberry muffins. There are 3 rows of 3 apple muffins. There is 1 row of 3 banana muffins. How many muffins are there in all? Draw

Write

131

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read There are 5 animals. Each animal has 4 paws. How many paws are there in all? Draw

Write

132

LESSON

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read There are 3 bird’s nests in the tree. There are 6 eggs in each nest. How many eggs are there in all? Draw

Write

LESSON

133

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read There are 4 trays of cupcakes. Each tray has 4 rows of 3 cupcakes. How many cupcakes are there in all? Draw

Write

134

LESSON

EUREKA MATH2 Tennessee Edition

Name

2 ▸ M6 ▸ TD ▸ Lesson 17

Read Kate has 3 dogs. She gives each dog 6 treats. How many treats does Kate give her dogs in all? Draw

Write

135

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read There are 6 friends. Each friend has 4 balloons. How many balloons do they have in all? Draw

Write

136

PROBLEM SET

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read Ming finds some shells. He puts them all in 5 rows of 4. How many shells does Ming find in all? Draw

Write

PROBLEM SET

137

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 17

Read Tim has some marbles. He puts them all in 8 columns of 3. How many marbles does Tim have in all? Draw

Write

138

PROBLEM SET

EUREKA MATH2 Tennessee Edition

Name

2 ▸ M6 ▸ TD

Read 3 students went to the library. Each student gets 5 books. How many books did they get in all? Draw

Write

139

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD

2. Is the total number of books an even number or an odd number? Tell how you know.

140

TO P I C T I C K E T

EUREKA MATH2 Tennessee Edition

31 57

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ The 9 Game

– +

141

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

Summer Games Have fun with some math skill and strategy games!

Ready, Set, Add Purpose Practice adding and subtracting within 30.

This game is for partners. •

Partners make two fists and shake them on each word as they say, “Ready, set, add.” (This is similar to the familiar game, Rock, Paper, Scissors.)

•

On “add,” partners open one or both fists and hold up any number of fingers. A closed fist means zero.

•

Partners say the total number of fingers shown.

•

Partner A says an addition equation to represent the fingers shown.

•

Partner B says a related subtraction equation.

•

Repeat.

Partners A and B: “10” Partner A: “6 + 4 = 10”

Partner B: “10 – 4 = 6”

143

EUREKA MATH2 Tennessee Edition

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Numbers Up! Materials Deck of cards with aces (remove face cards) Purpose Practice adding and subtracting within 30.

This game is for three players: Player A is one part, player B is one part, and player C is the total. (For this game, an ace represents 1.) •

Players A and B each take a card and hold it to their own foreheads so they can’t see the number.

•

Player C looks at both cards and says the total.

•

Players A and B find the number on their own card, based on the total and the other part.

•

Player C confirms the two parts.

For an additional challenge, say or write as many true number sentences as possible by using the parts and total. For example, if players A and B pick 5 and 3, possible number sentences include the following: 8 = 5 + 3, 8 – 5 = 3, 3 + 5 = 8, and 5 = 8 – 3. My partner has 5. 5 and what number equals 8? 5+3=8 I must have 3.

The total is 8 and my partner has 3 .

8–3=5 I must have 5 . The total is 8 .

144

Player C

Player A

Player B

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

Number Line Hop: Race to 100 Suggested Materials 2 pennies, measuring tape, dice Purpose Use benchmark numbers to practice adding within 100.

This game is for two players. •

Players place their pennies at 0 on a measuring tape.

•

Player A rolls the dice and finds the sum of the roll, for example, “3 and 4 is 7.”

•

Player A says an equation beginning with the location of their penny and adding the sum of the roll, for example, “0 + 7 = 7.” Player A moves their penny to the sum on the measuring tape.

•

Player B rolls the dice, repeating the procedure.

•

The first player to get closest to 100 is the winner. For example, if player A gets to 98 and player B gets to 103, player A wins.

Frequently Asked Question: What does it mean to use benchmark numbers? A benchmark number is any number that helps you to add or subtract efficiently and often ends in a 0.

• Suppose player A’s counter is on 67, and player A rolls an 8. • First, player A hops 3 spaces to the closest benchmark number, 70.

• Then player A hops 5 more spaces to 75.

67 + 8 = 75 +3 +5

Player A: “0 + 7 = 7”

145

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

Number Line Hop: Race to 0 Suggested Materials 2 pennies, measuring tape, dice Purpose Use benchmark numbers to practice subtracting within 100.

This game is for two players. •

Players place their pennies at 100 on the measuring tape.

•

Player A rolls the dice and finds the sum of the roll. For example, 1 and 5 is 6.

•

Player A says an equation beginning with the location of their penny and subtracting the sum of the roll. For example, 100 – 6 = 94. Player A moves their penny to the difference on the measuring tape.

•

Player B rolls the dice, repeating the procedure.

•

The first player to get closest to 0, without going past, wins.

Player A: “100 – 6 = 94”

Note: Players can use benchmark numbers to subtract too. For example, when finding the difference of 75 – 8, they can first subtract 5. 75 – 5 = 70. Then 70 – 3 = 67.

146

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

Close to 100 Suggested Materials Deck of cards with aces (remove 10s and face cards), paper, and pencil Purpose Use place value to practice adding within 100.

This game is for two players.

•

Player A mixes up the cards and places them facedown in a pile.

•

Players A and B each take 4 cards from the pile.

•

Each player uses the cards to make 2 two-digit numbers that can be added 31 + 58 = 89 together to make a sum that is close to 100. For example, a player who picks 8, 3, 5, and 1 might write 31 + 58 = 89.

•

The player whose sum is closer to 100, without going over, gets a point for that round.

8 A

147

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

Close to 0 Suggested Materials Deck of cards with aces (remove 10s and face cards), paper, and pencil Purpose Use place value to practice subtracting within 100.

•

Player A mixes up the cards and places them facedown in a pile.

•

Players A and B each take 4 cards from the pile.

•

Each player uses the cards to make 2 two-digit numbers that can be subtracted 92 - 85 to find the difference that is close to 0. For example, a player who picks 8, 2, 5, and 9 might write 92 – 85 = 7.

•

The player whose difference is closest to 0 gets a point for that round.

148

This game is for two players.

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18 ▸ Summer Games

The 9 Game Materials The 9 Game (from the student book), two small paper clips and pencils, 10–15 counters per player (two different colors) Purpose Practice adding and subtracting within 100.

This game is for two players. To make a spinner, put a paper clip in the center of each spinner. Put a pencil point in the center of the spinner and push the end of the paper clip so it rests behind the pencil point. •

Player A spins both spinners and adds or subtracts 9 from the number. For example, if player A lands on 31 and the minus symbol, they find 31 – 9. Player A puts a counter on the difference, 22.

– +

31 45

57 36

•

52 34 46 48 66 Player B confirms whether the sum or difference is correct. Then player B takes a turn. Player B uses a different color counter to mark the sum or difference.

•

Only one counter can occupy a space. If the space for the difference is already occupied, that player loses their turn.

•

The first player to get 5 in a row in any direction wins.

Note: If a player is counting up or back by ones, ask how they can use ten to add or subtract more efficiently. For example, for 57 – 9 they can think of 57 – 10 = 47. Then add back 1 because they subtracted 1 too many: 47 + 1 = 48.

149

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18

Name

1. Which addition facts within 30 do I know from memory?

2. Which facts do I still need to practice?

3. Which addition and subtraction strategies work best for me?

151

EUREKA MATH2 Tennessee Edition

2 ▸ M6 ▸ TD ▸ Lesson 18

4. Which strategies have I not yet mastered?

5. Which game was the most helpful for learning my facts?

6. What game do I still need to practice?

152

EXIT TICKET

EUREKA MATH2 Tennessee Edition

2 ▸ M6

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, Maurice Prendergast, 1858–1924, Ponte della Paglia, ca. 1898/reworked 1922. Oil on canvas. The Phillips Collection, Washington, DC, USA. Acquired 1922.; pages 11, 13, Viktorija Reuta/ Shutterstock.com; pages 15, 17, 19, Tell-a-Tale Studios/Shutterstock.com; page 21, 23, whyt/ Shutterstock.com; pages 25, 27, GraphicsRF.com/Shutterstock.com; All other images are the property of Great Minds. For a complete list of credits, visit http://eurmath.link/media-credits.

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Acknowledgments Beth Barnes, Christine Bell, Dawn Burns, Karla Childs, Mary Christensen-Cooper, Nicole Conforti, Cheri DeBusk, Stephanie DeGiulio, Jill Diniz, Brittany duPont, Lacy Endo-Peery, Janice Fan, Gail Fiddyment, Ryan Galloway, Krysta Gibbs, Melanie Gutierrez, Torrie K. Guzzetta, Eddie Hampton, Andrea Hart, Sara Hunt, Rachel Hylton, Travis Jones, Amanda Kaplan, Jennifer Koepp Neeley, Liz Krisher, Leticia Lemus, Marie Libassi-Behr, Ben McCarty, Cristina Metcalf, Ashley Meyer, Bruce Myers, Marya Myers, Maximilian Peiler-Burrows, Marlene Pineda, DesLey V. Plaisance, Carolyn Potts, Meri Robie-Craven, Colleen Sheeron-Laurie, Robyn Sorenson, Tara Stewart, Theresa Streeter, James Tanton, Julia Tessler, Philippa Walker, Rachael Waltke, Lisa Watts Lawton, MaryJo Wieland Trevor Barnes, Brianna Bemel, 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

154

Talking Tool Share Your Thinking

I know . . . . I did it this way because . . . . The answer is

because . . . .

My drawing shows . . . . I agree because . . . .

Agree or Disagree

That is true because . . . . I disagree because . . . . That is not true because . . . . Do you agree or disagree with

Ask for Reasoning

Why did you . . . ? Can you explain . . . ? What can we do first? How is

Say It Again

related to

I heard you say . . . . said . . . . Another way to say that is . . . . What does that mean?

? Why?

Thinking Tool When I solve a problem or work on a task, I ask myself Before

Have I done something like this before? What strategy will I use? Do I need any tools?

During

Is my strategy working? Should I try something else? Does this make sense?

After

What worked well? What will I do differently next time?

At the end of each class, I ask myself

What did I learn? What do I have a question about?

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.

Module 1 Place Value Concepts Through Metric Measurement and Data • Place Value, Counting, and Comparing Within 1,000 Module 2 Addition and Subtraction Within 200 Module 3 Shapes and Time with Fraction Concepts Module 4 Addition and Subtraction Within 1,000

Fueled by your curiosity to understand the world, math will propel you down any path you choose.

Module 5 Money, Data, and Customary Measurement

Ready to get started?

Module 6 Multiplication and Division Foundations

ISBN 978-1-63898-501-3

781638 985013