5
A Story of Units®
Fractions Are Numbers LEARN ▸ Module 1 ▸ Place Value Concepts for Multiplication and Division with Whole Numbers
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Content Terms
Place a sticky note here and add content terms.
? Why?
What does this painting have to do with math? Color and music fascinated Wassily Kandinsky, an abstract painter and trained musician in piano and cello. Some of his paintings appear to be “composed” in a way that helps us see the art as a musical composition. In math, we compose and decompose numbers to help us become more familiar with the number system. When you look at a number, can you see the parts that make up the total? On the cover Thirteen Rectangles, 1930 Wassily Kandinsky, Russian, 1866–1944 Oil on cardboard Musée des Beaux-Arts, Nantes, France Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musée des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY
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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 978-1-63898-514-3
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A Story of Units®
Fractions Are Numbers ▸ 5 LEARN
Module
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1 2 3 4 5 6
Place Value Concepts for Multiplication and Division with Whole Numbers
Addition and Subtraction with Fractions
Multiplication and Division with Fractions
Place Value Concepts for Decimal Operations
Addition and Multiplication with Area and Volume
Foundations to Geometry in the Coordinate Plane
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EUREKA MATH2 Tennessee Edition
5 ▸ M1
Contents Place Value Concepts for Multiplication and Division with Whole Numbers Topic A Place Value Understanding for Whole Numbers Lesson 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Relate adjacent place value units by using place value understanding. Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Multiply and divide by 10, 100, and 1,000 and
identify patterns in the products and quotients.
Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Use exponents to multiply and divide by powers of 10.
Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Estimate products and quotients by using powers of 10 and their multiples.
Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Convert measurements and describe relationships between metric units.
Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Solve multi-step word problems by using metric measurement conversion.
Topic B Multiplication of Whole Numbers Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Multiply by using familiar methods. Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.
2
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Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm. Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Multiply three- and four-digit numbers by three-digit numbers by using the standard algorithm. Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Multiply two multi-digit numbers by using the standard algorithm.
Topic C Division of Whole Numbers Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Divide two- and three-digit numbers by multiples of 10.
Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Divide two-digit numbers by two-digit numbers in problems that result in one-digit quotients. Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Divide three-digit numbers by two-digit numbers in problems that result in one-digit quotients.
Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients. Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Divide four-digit numbers by two-digit numbers.
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EUREKA MATH2 Tennessee Edition
5 ▸ M1
Topic D Multi-Step Problems with Whole Numbers Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 Write, interpret, and compare numerical expressions. Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Create and solve real-world problems for given numerical expressions.
Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 Solve multi-step word problems involving multiplication and division. Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 Solve multi-step word problems involving the four operations.
Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 178
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5 ▸ M1 ▸ TA ▸ Lesson 1 ▸ Place Value Chart to Millions
© Great Minds PBC •
(1,000,000)
millions
Expanded Form:
Standard Form:
(100,000)
hundred thousands
(10,000)
ten thousands
(1,000)
thousands
(100)
hundreds
tens
(10)
(1)
ones
EUREKA MATH2 Tennessee Edition
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
Name
1
Date
.
For this counting collection, I am partners with .
We are counting We think they have a value of
.
This is how we organized and counted the collection:
We counted
altogether.
An equation that describes how we counted is: . Self-Reflection Write one thing that worked well for you and your partner. Explain why it worked well.
Write one challenge you had. How did you work through the challenge?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
Name
1
Date
Use the place value chart to complete the statement and equation. 1.
millions
hundred ten thousands hundreds thousands thousands
tens
ones
×10
3 ten thousands is 10 times as much as
.
30,000 = 10 × 2.
millions
hundred ten thousands hundreds thousands thousands
tens
ones
×10
is 10 times as much as
.
= 10 ×
Use the place value chart to complete the equation. 3.
millions
hundred ten thousands hundreds thousands thousands
tens
ones
÷10
60,000 ÷ 10 =
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
4.
millions
hundred ten thousands hundreds thousands thousands
tens
ones
÷10
÷ 10 =
5. Complete each statement by drawing a line to the correct value.
9,000 ÷ 10 =
9,000
9 millions ÷ 10 =
9 millions
The 9 in 3,429,015 represents
9 hundred thousands
.
is 10 times as much as 9 hundred thousands.
9 hundred thousands is 10 times as much as
10
PROBLEM SET
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.
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9 ten thousands
900
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
Use the place value chart to complete problems 6–12. millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
7
4
4
5
3
8
5
6. 7,445,385 = 7,000,000 + 400,000 +
7. The 7 in 7,445,385 represents
+
+
+
+
.
8. 4 hundred thousands is 10 times as much as
.
9. 400,000 = 10 ×
÷ 10 = 40,000
10.
11. 5 thousands is
12. 5,000 =
© Great Minds PBC •
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times as much as 5 ones.
×5
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PROBLEM SET
11
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
13. Consider the number shown.
8 7 7, 4 8 7 a. Complete the equation to represent the number in expanded form.
877,487 =
+
+
+
+
+
b. Draw a box around the digit that represents 10 times as much as the underlined digit. c. Complete the equations to show the relationships between the boxed and underlined digits.
= 10 × ÷ 10 = d. Explain how the digit in the hundred thousands place is related to the digit in the tens place.
14. Kayla and Blake both write a number. Kayla’s Number
Blake’s Number
2,308,467
713,548
a. Kayla says, “The 3 in my number is 10 times as much as the 3 in Blake’s number.” Do you agree with Kayla? Explain.
b. Write a division equation to relate the 8 in Kayla’s number to the 8 in Blake’s number.
12
PROBLEM SET
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 1
Name
Date
1
52,285 a. Write a division equation that relates the 2 on the left to the 2 on the right.
b. Use the words times as much to compare the 5 on the left to the 5 on the right.
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5 ▸ M1 ▸ TA ▸ Lesson 2 ▸ Place Value Chart to Millions
millions
(1,000,000)
(100,000)
hundred thousands
(10,000)
ten thousands
(1,000)
thousands
(100)
hundreds
tens
(10)
(1)
ones
EUREKA MATH2 Tennessee Edition
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
Name
2
Date
1. 5 × 10 =
2. 5 × 100 =
3. 5 × 1,000 =
4. 50 × 10 =
5. 50 × 100 =
=
=
6. 50 × 1,000 =
7. 48 × 30 =
8. 48 × 300 =
9. 48 × 3,000 = © Great Minds PBC •
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=
=
=
=
=
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= 17
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
10. 270,000 ÷ 10 =
11. 270,000 ÷ 100 =
=
12. 270,000 ÷ 1,000 =
13. 270,000 ÷ 30 =
14. 270,000 ÷ 300 =
15. 270,000 ÷ 3,000 =
18
LESSON
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=
=
=
=
=
=
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=
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
Name
Date
2
1. Complete the statement. The 8 in 58,701 represents
times as much as the 8 in 5,870.
2. Write a multiplication equation to relate the 7 in 58,701 to the 7 in 587,019.
3. Write a division equation to show the relationship between the value of the 5 in 587,019 and the value of the 5 in 5,870.
Multiply. 4. 62 × 1 ten =
62 × 10 =
5. 62 × 1 hundred =
62 × 100 =
6. 62 × 1 thousand =
62 × 1,000 =
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
Divide. 7. 73,000 ÷ 10 =
8. 73,000 ÷ 100 =
9. 73,000 ÷ 1,000 =
Multiply or divide. 10. 47 ×
= 4,700
12. 300 × 1,000 =
20
13. 25,700 ÷ 100 =
= 4,630 × 1,000
14.
PROBLEM SET
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11. 860 ÷ 10 =
15. 932,000 ÷
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= 932
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
Complete the equations and expressions. 16. 12 × 30 =
17. 12 × 300 =
12 × 3 ×
18. 12 × 3,000 =
12 × 3 ×
12 × 3 ×
19. 240 ÷ 80 =
240 ÷
20. 360 ÷ 90 =
÷8
360 ÷
21. 3,500 ÷ 70 =
÷9
3,500 ÷
÷7
Multiply or divide. 22. 25 × 300 =
23. 450 ÷ 50 =
24. 15 × 400 =
25. 7,200 ÷ 80 =
26. 45 × 2,000 =
27. 4,800 ÷ 60 =
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PROBLEM SET
21
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 2
28. Toby finds the product of 3,240 and 1,000.
3,24 3, 240 0 x 1, 1,000 000 = 32 324, 4,000 000 Use the number of zeros in the product to explain why Toby’s answer is not correct.
Use the Read–Draw–Write process to solve the problem. 29. A banker has a total of $54,200, all in one hundred-dollar bills. How many one hundred-dollar bills does the banker have?
22
PROBLEM SET
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 2
Date
2
Find each product. 1. 80 × 10 = 2. 80 × 100 = 3. 80 × 1,000 =
Find each quotient. 4. 340,000 ÷ 10 = 5. 340,000 ÷ 100 = 6. 340,000 ÷ 1,000 =
7. How does the value the 6 represents in 3,604 compare to the value the 6 represents in the product of 3,604 and 1,000? Explain how you know without multiplying.
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ones
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100 =
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25
5 ▸ M1 ▸ TA ▸ Lesson 3 ▸ Powers of 10 Chart
tens
(1)
(100)
(100,000)
(10,000)
(1,000)
(1,000,000)
(10,000)
(100,000)
(10)
hundred ten thousands hundreds thousands thousands millions
(1)
EUREKA MATH2 Tennessee Edition
ones
(1,000,000)
EM2_0501SE_A_L03_removable_powers_of_ten_chart.indd 25
1,000 =
tens
(1,000)
(100)
(10)
hundred ten thousands hundreds thousands thousands millions
Exponential Form Representation Equation
tens
ones
(100)
(100,000)
(10,000)
(1,000)
(1,000,000)
(10,000)
(100,000)
(10)
hundred ten thousands hundreds thousands thousands © Great Minds PBC •
millions
(1)
10,000 =
5 ▸ M1 ▸ TA ▸ Lesson 3 ▸ Powers of 10 Chart
26
ones
(1,000,000)
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EUREKA MATH2 Tennessee Edition
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100,000 =
(1)
tens
(1,000)
(100)
(10)
hundred ten thousands hundreds thousands thousands millions
Exponential Form Representation Equation
12/1/2021 11:32:52 AM
ones
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1,000,000 =
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27
5 ▸ M1 ▸ TA ▸ Lesson 3 ▸ Powers of 10 Chart
tens
(1)
(100)
(100,000)
(10,000)
(1,000)
(1,000,000)
(10,000)
(100,000)
(10)
hundred ten thousands hundreds thousands thousands millions
(1)
EUREKA MATH2 Tennessee Edition
ones
(1,000,000)
EM2_0501SE_A_L03_removable_powers_of_ten_chart.indd 27
10 =
tens
(1,000)
(100)
(10)
hundred ten thousands hundreds thousands thousands millions
Exponential Form Representation Equation
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 3
Date
3
Multiply. 1. 10,000 × 100 = 2. 1,000 × 103 =
Multiply. 3. 7 × 102 = 4. 300 × 103 =
Divide. 5. 10,000 ÷ 102 = 6. 1,000,000 ÷ 103 =
Divide. 7. 9,000 ÷ 103 = 8. 360,000 ÷ 104 =
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29
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 3
Name
3
Date
Complete the table to represent each number in three different forms. The first one is done for you. Standard Form
Multiplication Expression Using Only 10 as a Factor
Exponential Form
1.
100
10 × 10
102
2.
1,000
3.
10,000
103
10 × 10 × 10 × 10 × 10
4.
106
5.
Write each product or quotient in exponential form. 6. 100 × 100 =
7. 10,000 ÷ 10 =
8. 100 × 104 =
9. 100,000 ÷ 102 =
10. Consider the expression shown.
1,000 × 103 How does the exponent help you think about shifting the digits in the first factor to find the product?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 3
11. Use words and equations to explain how 105 is different from 10 × 5.
Rewrite each expression by using an exponent. Then find the product or quotient and write it in standard form. 12.
ten thousands thousands hundreds
tens
ones
3 × 10 × 10 × 10 × 10 = 3 × =
× 10 × 10 × 10 × 10
13.
ten thousands thousands hundreds
tens
ones
7,000 ÷ 10 ÷ 10 ÷ 10 = 7,000 ÷ =
÷ 10 ÷ 10 ÷ 10
32
PROBLEM SET
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 3
Find each product or quotient and write it in standard form. 14. 8 × 104 =
15. 500,000 ÷ 105 =
16. 39,000 ÷ 102 =
17. 400 × 103 =
18. 620 × 104 =
19. 9,180,000 ÷ 103 =
20. Explain how you found the quotient in problem 16.
21. Yuna finds 300 × 103. Explain Yuna’s strategy. Yuna’s Way
300 30 0 × 103 = 3 × 10 × 10 × 103 = 3 × 105
= 30 300, 0,000 000
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PROBLEM SET
33
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 3
Date
3
Multiply or divide. Then write each product or quotient in exponential form. 1. 10 × 10 × 10 × 10 = 2. 10 × 1,000 = 3. 100 × 10 4 = 4. 100,000 ÷ 10 2 =
Multiply or divide. Then write each product or quotient in standard form. 5. 4 × 10 5 = 6. 200 × 10 4 = 7. 70,000 ÷ 10 4 = 8. 340,000 ÷ 10 3 =
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 4
Date
4
Estimate each product. Show your thinking. 1. 7,114 × 20
2. 1,009 × 51
3. 92 × 396,285
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 4
4. Which number is the best estimate of 976 × 52? A. 4,500 B. 45,000 C. 50,000 D. 500,000
Estimate each quotient. Show your thinking. 5. 129 ÷ 4
6. 35,471 ÷ 9
7. 426 ÷ 64
38
LESSON
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12/1/2021 11:33:19 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 4
8. Miss Baker buys 327 hats for students at her school. Each hat costs $18. About how much do the hats cost in total? Show your thinking.
9. A runner climbs 1,276 stairs in 11 minutes. Estimate the number of stairs the runner climbs in 1 minute. Show your thinking.
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LESSON
39
12/1/2021 11:33:19 AM
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12/1/2021 11:33:19 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 4
Name
Date
4
Estimate each product. Show your thinking. 1. 48 × 6
2. 247 × 9
3. 4 × 7,081
4. 32 × 18
5. 673 × 54
6. 1,235 × 43
7. Scott started to make an estimate for 718 × 41 but did not finish. a. Complete the equations to finish Scott’s estimate.
700 × 40 = 7 × =
×4× × 10
= b. Is Scott’s estimate greater or less than the actual product of 718 and 41? Explain how you know without calculating the actual product.
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41
12/1/2021 11:34:08 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 4
8. Kelly and Adesh each write an expression to show how to estimate 1,846 × 7. Kelly’s Way
2,000 2, 000 × 7
Adesh’s Way
2,000 × 10
Whose estimate is closer to the actual product? Explain your answer.
Estimate each quotient. Show your thinking. 9. 163 ÷ 4
10. 2,631 ÷ 3
11. 342 ÷ 54
12. 647 ÷ 72
13. 1,921 ÷ 91
14. 4,609 ÷ 59
42
PROBLEM SET
EM2_0501SE_A_L04_problem_set.indd 42
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12/1/2021 11:34:09 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 4
15. Tim makes a mistake when he estimates 3,714 ÷ 94. What mistake does Tim make?
3,71 3, 714 4 ÷ 94 ≈ 3, 3,60 600 0 ÷ 90 = 400
16. The table shows the cost of tickets for a concert. Adult Ticket
Child Ticket
$27
$18
a. There are 8,309 adults at the concert. About how much was spent on adult tickets?
b. The total amount spent on children’s tickets was $6,288. About how many children are at the concert?
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PROBLEM SET
43
12/1/2021 11:34:09 AM
EM2_0501SE_A_L04_problem_set.indd 44
12/1/2021 11:34:09 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 4
Date
4
A large helicopter can carry 25,000 pounds. The average weight of a car is 4,110 pounds. If there is enough space, about how many cars can the helicopter carry at one time? Explain how you know.
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45
12/1/2021 11:33:35 AM
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12/1/2021 11:33:35 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 5
Name
Date
5
Convert. 1. 456 kL =
L
2. 6,985 g =
3.
mg
cm = 308 m
4. The label on a water bottle shows the capacity of the bottle is 50 centiliters. What is the capacity of the bottle in milliliters?
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47
12/1/2021 11:36:13 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 5
5. The label on a bag of rice reads 2 kg 300 g. The label on a bag of beans reads 2,300 mg. Which bag is heavier?
48
LESSON
EM2_0501SE_A_L05_classwork.indd 48
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12/1/2021 11:36:13 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 5
Name
5
Date
Convert each measurement. Write an expression to help you convert. The first one is started for you. 1.
Meters ( m)
5
Expression
5 × 10
Millimeters (mm)
2.
3
Liters ( L)
9
13
24
207
410
480
700
Convert.
3. 800 m =
cm
5. 760 g =
mg
Expression
9 × 10
Centiliters (cL)
2
4.
mL = 1,500 cL
6.
L = 320 kL
7. Consider the expressions.
600 × 100 mL
600 × 103 mL
6 × 102 × 1,000 mL
a. Circle the expression that does not represent how to convert 600 liters to milliliters. b. Explain your choice.
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49
12/1/2021 11:36:57 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 5
Convert.
8. 6 L 34 cL =
cL
mm = 87 m 61 mm
10.
9.
mg = 60 g 52 mg
11. 8 kg 1,245 mg =
mg
12. Riley runs 11 kilometers. What is the distance Riley runs in meters?
13. Mr. Sharma’s dog weighs 21 kg 96 g. What is the weight of Mr. Sharma’s dog in grams?
50
PROBLEM SET
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12/1/2021 11:36:57 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 5
Name
Date
5
Convert each measurement. 1. 4 km =
m
2. 9,430 cL =
3. 108 kg =
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mL
g
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51
12/1/2021 11:36:35 AM
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12/1/2021 11:36:35 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 6
Date
6
Use the Read–Draw–Write process to solve the problem. 1. Sasha has 6 meters 40 centimeters of ribbon. She plans to divide the ribbon equally to wrap 8 gifts that are the same size. How many centimeters of ribbon should Sasha cut for each gift?
Use the Read–Draw–Write process to solve the problem. 2. A family takes a road trip from New York City to Seattle, and they stop in Chicago on the way. The distance from New York City to Chicago is 1,963 kilometers less than the distance from Chicago to Seattle. The distance from Chicago to Seattle is 3,288 kilometers. If the family travels the same route to Seattle and back, how many total meters do they travel?
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53
12/1/2021 11:37:14 AM
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12/1/2021 11:37:14 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 6
Date
6
Use the Read–Draw–Write process to solve each problem. 1. Mr. Perez pours water into 8 beakers. He pours 750 milliliters of water into each beaker. a. About how many milliliters of water are in the beakers altogether?
b. Exactly how many milliliters of water are in the beakers altogether?
c. How do you know your answer in part (b) is reasonable?
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55
12/1/2021 11:37:48 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 6
2. A newborn lion cub weighs 1 kg 736 g. The lion cub weighs 8 times as much as a newborn puppy. a. Convert the weight of the lion cub to grams.
b. About how many grams does the puppy weigh?
c. Exactly how many grams does the puppy weigh?
d. How do you know your answer in part (c) is reasonable?
56
PROBLEM SET
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12/1/2021 11:37:48 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 6
3. Leo uses oil and vinegar to make a bottle of salad dressing. He uses 12 centiliters of vinegar. He uses 3 times as much oil as vinegar. How many milliliters of salad dressing does Leo make?
4. Eddie has a blue ribbon that is 4 m 23 cm long and a green ribbon that is 756 cm long. He cuts each ribbon into pieces that are 9 cm long. How many more pieces of green ribbon than blue ribbon does Eddie have?
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PROBLEM SET
57
12/1/2021 11:37:48 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TA ▸ Lesson 6
5. A farmer puts apples into 36 crates. Each crate has 25 kilograms of apples in it. She sells 486,235 grams of apples. How many grams of apples does she have left?
58
PROBLEM SET
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12/1/2021 11:37:48 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TA ▸ Lesson 6
Date
6
Use the Read–Draw–Write process to solve the problem. Lacy needs 650 centimeters of ribbon for a project. She already has 2 m 596 mm of ribbon. How many more millimeters of ribbon does Lacy need?
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59
12/1/2021 11:37:31 AM
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12/1/2021 11:37:31 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 7
Name
Date
7
1. Write the following number in as many ways as you can.
28,741
Use the Read–Draw–Write process to solve the problem. 2. On a typical day, a grade 5 student takes 24,165 breaths in one day. How many breaths will you and 5 friends take in one day?
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61
12/1/2021 11:38:41 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 7
Multiply. Show or explain your work. 3. 4 times as much as 32,157
62
LESSON
EM2_0501SE_B_L07_classwork.indd 62
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12/1/2021 11:38:41 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 7
Date
7
Multiply. Show or explain your strategy. 1. 4 times as much as 362
2. 7 times as long as 3,098 kilometers
3. 6 × 12,345
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4. 9 × 21,876
63
12/1/2021 11:39:23 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 7
Use the Read–Draw–Write process to solve each problem. 5. Mrs. Chan takes 13,564 steps each day for 4 days. How many total steps does she take in those 4 days?
6. An airplane weighs 40,823 kilograms. What is the total weight of 7 of these airplanes?
64
PROBLEM SET
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12/1/2021 11:39:23 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 7
Date
7
Multiply. Show or explain your strategy.
73,613 × 5
8
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65
12/2/2021 3:06:42 PM
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12/2/2021 3:06:42 PM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 8
Date
8
Use the Read–Draw–Write process to solve the problem. 1. There are 122 cities competing in a math relay race. Each city sends 41 grade 5 students to compete. How many students compete?
2. 24 × 40 =
3. 22 × 41 =
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67
12/1/2021 11:39:42 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 8
4. 21 × 343 =
5. 32 × 201 =
68
LESSON
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12/1/2021 11:39:43 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 8
8
Date
Complete the area model. Then multiply by showing two partial products. 1. 23 × 30
30 3
×
20
+
3 2
0 3
3 2
1 3
2. 23 × 31
31 3
×
20
+
3. 23 × 331
331
3
3
×
20
+
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3 2
1 3
69
12/1/2021 11:40:18 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 8
Draw an area model to find two partial products. Then multiply by showing two partial products. 4. 34 × 121
Estimate the product. Then multiply. 5. 31 × 33 ≈
×
=
7. 32 × 231 ≈
×
PROBLEM SET
EM2_0501SE_B_L08_problem_set.indd 70
×
8. 43 × 201 ≈
×
=
=
70
6. 12 × 413 ≈
=
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12/1/2021 11:40:19 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 8
Use the Read–Draw–Write process to solve the problem. 9. A toy giraffe is 403 millimeters tall. A real giraffe is 12 times as tall as the toy giraffe. How tall is the real giraffe?
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PROBLEM SET
71
12/1/2021 11:40:19 AM
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12/1/2021 11:40:19 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 8
Name
Date
8
Consider the expression shown.
31 × 213 a. Complete the area model.
b. Multiply by showing two partial products.
+
×
c. Complete the equation.
31 × 213 =
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73
12/1/2021 11:40:01 AM
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12/1/2021 11:40:01 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Multiply by Multiples of 10, 100, 1,000, and 10,000
Sprint Write the product. 1.
1 × 20 =
2.
2 × 600 =
3.
3 × 9,000 =
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75
12/2/2021 3:08:33 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Multiply by Multiples of 10, 100, 1,000, and 10,000
A
Number Correct:
Write the product. 1.
1 × 10 =
23.
5,000 × 7 =
2.
1 × 30 =
24.
6,000 × 8 =
3.
2 × 30 =
25.
7,000 × 9 =
4.
3 × 30 =
26.
1 × 10,000 =
5.
30 × 3 =
27.
2 × 20,000 =
6.
40 × 4 =
28.
3 × 30,000 =
7.
50 × 5 =
29.
40,000 × 4 =
8.
1 × 100 =
30.
50,000 × 5 =
9.
2 × 200 =
31.
60,000 × 6 =
10.
3 × 400 =
32.
7 × 70,000 =
11.
300 × 4 =
33.
8 × 80,000 =
12.
200 × 5 =
34.
9 × 90,000 =
13.
200 × 6 =
35.
2 × 90 =
14.
7 × 300 =
36.
3 × 90 =
15.
8 × 400 =
37.
6 × 10,000 =
16.
9 × 500 =
38.
20,000 × 5 =
17.
1 × 1,000 =
39.
7 × 60,000 =
18.
2 × 2,000 =
40.
50,000 × 4 =
19.
3 × 2,000 =
41.
5 × 60,000 =
20.
2,000 × 4 =
42.
70,000 × 8 =
21.
3,000 × 5 =
43.
8 × 50,000 =
22.
4,000 × 6 =
44.
90,000 × 8 =
76
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12/2/2021 3:08:33 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Multiply by Multiples of 10, 100, 1,000, and 10,000
B
Number Correct: Improvement:
Write the product. 1.
1 × 10 =
23.
4,000 × 7 =
2.
1 × 20 =
24.
5,000 × 8 =
3.
2 × 20 =
25.
6,000 × 9 =
4.
3 × 20 =
26.
1 × 10,000 =
5.
20 × 3 =
27.
2 × 10,000 =
6.
30 × 4 =
28.
3 × 20,000 =
7.
40 × 5 =
29.
30,000 × 4 =
8.
1 × 100 =
30.
40,000 × 5 =
9.
2 × 200 =
31.
50,000 × 6 =
10.
3 × 400 =
32.
7 × 60,000 =
11.
300 × 4 =
33.
8 × 70,000 =
12.
200 × 5 =
34.
9 × 80,000 =
13.
200 × 6 =
35.
2 × 80 =
14.
7 × 200 =
36.
3 × 80 =
15.
8 × 300 =
37.
5 × 10,000 =
16.
9 × 400 =
38.
5 × 20,000 =
17.
1 × 1,000 =
39.
60,000 × 7 =
18.
2 × 2,000 =
40.
4 × 50,000 =
19.
3 × 2,000 =
41.
60,000 × 5 =
20.
2,000 × 4 =
42.
8 × 70,000 =
21.
2,000 × 5 =
43.
50,000 × 8 =
22.
3,000 × 6 =
44.
8 × 90,000 =
78
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12/2/2021 3:08:34 PM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 9
9
Date
1. Mr. Perez paints the gymnasium wall. The wall is 24 feet wide and 33 feet long. How many square feet does Mr. Perez paint?
×
2. 28 × 63 =
3
3
2
4
× +
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79
12/1/2021 11:40:46 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 9
3. Flatback turtles lay 52 eggs in a nest. How many turtle eggs would there be in 427 nests?
80
LESSON
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12/1/2021 11:40:47 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 9
Name
9
Date
Complete the area model. Then multiply by using the standard algorithm. 1. 24 × 35
30
5
×
4
3
5
2
4
3
2
6
4
1
+
20
2. 41 × 326
300
20
6
1 40
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× +
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81
12/1/2021 11:41:33 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 9
Draw an area model to find the partial products. Then multiply by using the standard algorithm. 3. 47 × 32
× +
4. 25 × 638
× +
82
PROBLEM SET
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12/1/2021 11:41:34 AM
EUREKA MATH2 Tennessee Edition
5. 38 × 529 ≈
5 ▸ M1 ▸ TB ▸ Lesson 9
6. 63 × 804 ≈
Estimate the product. Then multiply.
×
=
×
=
7. Julie makes a mistake when she uses the distributive property to find 83 × 624. Look at her work.
83 × 62 624 4 = 80 × 60 600 0 + 80 × 20 + 80 × 4 = 48 48,,000 × 1, 1,60 600 0 + 32 320 0 = 49 49,9 ,920 20
a. What mistake did Julie make?
b. Find the product.
83 × 624 =
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PROBLEM SET
83
12/1/2021 11:41:35 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 9
Use the Read–Draw–Write process to solve the problem. 8. A school bus travels 508 kilometers each week. How many kilometers does the school bus travel in 36 weeks?
84
PROBLEM SET
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12/1/2021 11:41:35 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 9
Name
Date
9
Consider the expression shown.
446 × 81 a. Draw an area model to find the partial products.
b. Multiply by using the standard algorithm.
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TB ▸ Lesson 10
Date
10
1. Lisa tiles a rectangular floor that is 204 inches long and 123 inches wide. How many square inches of tile does Lisa use?
2. The population of Waverly, Pennsylvania, is 604 people. The population of Scranton, Pennsylvania, is 127 times as much as the population of Waverly. What is the population of Scranton?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 10
3. 1,429 × 312
88
LESSON
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 10
Name
10
Date
Complete the area model and find the sum of the partial products. Then multiply by using the standard algorithm. Compare your answers in each part to check that the product is correct. 1. 251 × 432
400
a.
30
1
2
b.
50
×
4
3
2
2
5
1
+
200
Draw an area model to find the partial products and find their sum. Then multiply by using the standard algorithm. Compare your answers in each part to check that the product is correct. 2. 342 × 1,627 a.
b.
×
+
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12/1/2021 11:43:42 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 10
Estimate the product. Then multiply. 3. 689 × 824 ≈
×
=
4. 518 × 706 ≈
×
=
5. 537 × 3,296 ≈
=
×
6. 758 × 4,093 ≈
×
=
Use the Read–Draw–Write process to solve the problem. 7. Sana drinks from a bottle that holds 946 milliliters of water. She fills the bottle and drinks all the water in it twice each day. a. How many milliliters of water does Sana drink each day?
b. How many milliliters of water does Sana drink in 365 days?
90
PROBLEM SET
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 10
Name
Date
10
Multiply.
704 × 236
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91
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 11
Name
11
Date
Estimate the product. Then multiply by using the standard algorithm. 1. 382 × 547 ≈
2. 473 × 905 ≈
×
=
=
3. 638 × 5,291 ≈
×
=
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×
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4. 7,418 × 594 ≈
×
=
93
12/1/2021 11:44:59 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 11
5. Blake wants to find 312 × 675. Look at Blake’s work. Blake’s Way
×
67 5 312 1 1
1 350 67 5 2 1 + 21 01 21 5 4,0 5 0
a. Is Blake’s answer reasonable? How do you know?
b. What mistakes did Blake make?
Multiply.
6. 651 × 823
94
PROBLEM SET
EM2_0501SE_B_L11_problem_set.indd 94
7. 508 × 977
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12/1/2021 11:44:59 AM
EUREKA MATH2 Tennessee Edition
8. 467 times as much as 2,083
5 ▸ M1 ▸ TB ▸ Lesson 11
9. 6,254 × 379
Use the Read–Draw–Write process to solve the problem. 10. A cow weighs 712 kilograms. A blue whale is 255 times as heavy as the cow. How many kilograms does the blue whale weigh?
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PROBLEM SET
95
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TB ▸ Lesson 11
Name
Date
11
Multiply.
768 × 9,307
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 12
Date
12
Use the Read–Draw–Write process to solve the problem. 1. Tyler wants to donate boxes of crayons to kindergarten classes. He has 347 boxes. He donates sets of 40 boxes to as many classes as he can. How many boxes remain?
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99
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 12
12
Date
Complete the tape diagram. Then complete the vertical form and check your work. 1. 80 ÷ 20
20 80
80 20
Check:
80 =
×
2. 240 ÷ 30
30 240
240 30
Check:
240 =
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×
101
12/1/2021 11:51:39 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 12
Estimate the quotient. Complete the tape diagram. Then complete the vertical form and check your work. 3. 81 ÷ 40 ≈
÷
= 40 81
81
Quotient:
40
Remainder:
Check:
81 =
4. 324 ÷ 50 ≈
÷
×
+
= 50 324
324 50
Quotient: Remainder:
Check:
324 =
102
PROBLEM SET
EM2_0501SE_C_L12_problem_set.indd 102
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12/1/2021 11:51:40 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 12
Divide. Then check your work. 5. 120 ÷ 30
6. 72 ÷ 60
4 30 120
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
7. 731 ÷ 80
8. 560 ÷ 70
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
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PROBLEM SET
103
12/1/2021 11:51:41 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 12
9. A number divided by 40 has a quotient of 6 and a remainder of 15. What is the number?
Use the Read–Draw–Write process to solve the problem. 10. A student has 174 centimeters of ribbon for making bows. Each bow is made with 20 centimeters of ribbon. The student wants to make as many bows as possible. How many bows can the student make? How many centimeters of ribbon will be left over?
104
PROBLEM SET
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12/1/2021 11:51:41 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 12
Name
Date
12
Consider the expression shown.
655 ÷ 80 a. Draw and label a tape diagram to represent the expression.
b. Determine the quotient and remainder. Quotient: Remainder:
c. Write an equation to check your work.
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105
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 13
Date
13
Use the Read–Draw–Write process to solve each problem. 1. Sasha is training for a competition and plans to do 96 push-ups in one day. She plans to do these push-ups in sets of 16. How many sets of push-ups will she need to do to reach her goal of 96 push-ups? Show your thinking, including an estimate and a check. Estimate:
Divide:
Check:
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107
12/1/2021 11:52:00 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
2. A camp plans to take its 92 students on a field trip. Each bus holds 21 students. How many buses does the camp need for the field trip? Show your thinking.
3. There are 92 coins split into 21 piles. Each pile has the same number of coins and as many coins as possible. How many coins are in each pile?
108
LESSON
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12/1/2021 11:52:01 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
Name
13
Date
Estimate the quotient. Complete the tape diagram. Then complete the vertical form and check your work. 1. 63 ÷ 21 ≈
÷
=
2
1
6
3
63 21 Check:
63 =
2. 72 ÷ 18 ≈
÷
×
=
1
8
7
2
72 18 Check:
72 =
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×
109
12/1/2021 11:52:53 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
Estimate the quotient. Complete the tape diagram. Then complete the vertical form and check your work. 3. 95 ÷ 31 ≈
÷
=
3
1
9
5
95 Quotient:
31
Remainder:
Check:
95 =
4. 84 ÷ 19 ≈
÷
×
+
=
1
9
8
4
84 19
Quotient: Remainder:
Check:
84 =
110
PROBLEM SET
EM2_0501SE_C_L13_problem_set.indd 110
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12/1/2021 11:52:54 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
Divide. Then check your work. 5. 96 ÷ 32
6. 54 ÷ 27
32 96
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
7. 83 ÷ 21
8. 95 ÷ 19
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
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PROBLEM SET
111
12/1/2021 11:52:55 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
9. Scott wants to find 78 ÷ 42. First, he estimates the quotient. Then he uses his estimate to divide.
78 ÷ 42 ≈ 80 ÷ 40 =2 2 42 7 8 −84 a. What should Scott do next?
b. Find 78 ÷ 42.
Use the Read–Draw–Write process to solve the problem. 10. An auditorium has 25 seats in each row. How many rows are needed to seat 92 students?
112
PROBLEM SET
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 13
Name
Date
13
Divide. Then check your answer.
81 ÷ 17
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113
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Powers of 10
Sprint Write each power of 10 in exponential form. 1.
100
2.
10 × 10 × 10 × 10
3.
Ten to the third power
4.
One million
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12/2/2021 3:09:36 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Powers of 10
A
Number Correct:
Write each power of 10 in exponential form. 1.
100
23.
1,000
2.
1,000
24.
1,000,000
3.
100,000
25.
10,000
4.
10,000
26.
10 × 10
5.
1,000,000
27.
10 × 10 × 10 × 10 × 10
6.
10
28.
10
7.
10 × 10
29.
Ten to the fourth power
8.
10 × 10 × 10
30.
Ten to the sixth power
9.
10 × 10 × 10 × 10 × 10 × 10
31.
Ten to the fifth power
10.
10 × 10 × 10 × 10
32.
One thousand
11.
10 × 10 × 10 × 10 × 10
33.
One hundred thousand
12.
10
34.
One million
13.
Ten to the second power
35.
1,000
14.
Ten to the third power
36.
10,000
15.
Ten to the fifth power
37.
100 × 10
16.
Ten to the sixth power
38.
10 × 102
17.
Ten to the fourth power
39.
10 × 10,000
18.
One hundred
40.
103 × 10
19.
One thousand
41.
100 × 100
20.
One million
42.
100 × 104
21.
One hundred thousand
43.
1,000 × 100
22.
Ten thousand
44.
103 × 1,000
116
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12/2/2021 3:09:36 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ Sprint ▸ Powers of 10
B
Number Correct: Improvement:
Write each power of 10 in exponential form. 1.
100
23.
100
2.
1,000
24.
100,000
3.
10,000
25.
1,000
4.
100,000
26.
10 × 10
5.
1,000,000
27.
10 × 10 × 10 × 10
6.
10
28.
10
7.
10 × 10
29.
Ten to the third power
8.
10 × 10 × 10
30.
Ten to the fifth power
9.
10 × 10 × 10 × 10 × 10
31.
Ten to the fourth power
10.
10 × 10 × 10 × 10
32.
One thousand
11.
10 × 10 × 10 × 10 × 10 × 10
33.
Ten thousand
12.
10
34.
One million
13.
Ten to the second power
35.
100
14.
Ten to the third power
36.
1,000
15.
Ten to the sixth power
37.
10 × 100
16.
Ten to the fifth power
38.
102 × 10
17.
Ten to the fourth power
39.
10,000 × 10
18.
One hundred
40.
10 × 103
19.
One thousand
41.
100 × 100
20.
One million
42.
104 × 100
21.
Ten thousand
43.
100 × 1,000
22.
One hundred thousand
44.
1,000 × 103
118
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12/2/2021 3:09:37 PM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 14
Date
14
Use the Read–Draw–Write process to solve each problem. 1. A school activity has 301 students split into 43 equal-size groups. How many students are in each group?
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12/1/2021 11:53:30 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
2. Eddie has 34 days to read a 170-page book. If he reads the same number of pages each day, how many pages does he need to read each day to finish the book in 34 days?
120
LESSON
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
3. Miss Baker needs to order 546 pencils. If each pack has 72 pencils, what is the fewest number of packs Miss Baker should order?
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LESSON
121
12/1/2021 11:53:31 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
4. Riley has 457 centimeters of ribbon. Each costume he makes needs 55 centimeters of ribbon. How many costumes can Riley make?
122
LESSON
EM2_0501SE_C_L14_classwork.indd 122
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12/1/2021 11:53:32 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
Name
Date
14
Estimate the quotient. Then complete the vertical form and check your work. Draw a tape diagram if it helps you divide. 1. 156 ÷ 52 ≈
÷
=
52 156
Quotient: Remainder: Check:
156 =
×
2. 136 ÷ 34 ≈
÷
=
34 136
Quotient: Remainder: Check:
136 =
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×
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123
12/1/2021 11:54:12 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
3. 139 ÷ 27 ≈
÷
=
27 139
Quotient: Remainder: Check:
139 =
×
4. 204 ÷ 48 ≈
+
÷
=
48 204
Quotient: Remainder: Check:
204 =
124
×
PROBLEM SET
EM2_0501SE_C_L14_problem_set.indd 124
+
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12/1/2021 11:54:13 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
Divide. Then check your work. 5. 287 ÷ 41
6. 415 ÷ 83
41 287
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
7. 555 ÷ 91
8. 702 ÷ 78
Quotient:
Quotient:
Remainder:
Remainder:
Check:
Check:
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PROBLEM SET
125
12/1/2021 11:54:13 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 14
9. Consider the division work.
7 39 284 –273 11 a. Show another division problem with the same quotient and remainder as 284 ÷ 39.
b. Explain how you found another division problem with the same quotient and remainder as 284 ÷ 39.
Use the Read–Draw–Write process to solve the problem. 10. Kayla’s book has 307 pages. She plans to read 45 pages each day. How many days will it take Kayla to finish reading the book?
126
PROBLEM SET
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12/1/2021 11:54:14 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 14
Date
14
There are 418 people going on a field trip. Each bus can hold 72 people. What is the least number of buses the school must use? Explain your answer.
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127
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 15
Name
15
Date
1. Determine the unknown values in the area model. Then write a multiplication equation and a division equation that the area model represents. Area Model
60 840
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Multiplication Equation
Division Equation
5 28
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×
=
÷
=
129
12/1/2021 11:55:52 AM
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12/1/2021 11:55:52 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 15
Name
15
Date
1. Julie started the division for 464 ÷ 29 by using the area model shown.
10
29
290
145
29
a. Complete Julie’s model. b. Use the partial quotients from part (a) to show the division for 464 ÷ 29 in vertical form.
2
9
4
6
4
c. What is 464 ÷ 29? How do you know?
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131
12/1/2021 11:56:40 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 15
Divide by using an area model. Then check your work. 2. 234 ÷ 18
Check:
234 =
× 18
Estimate the partial quotients as you divide. Then check your work. 3. 436 ÷ 17 Check:
436 = 1
7
4
3
× 17 +
6
Quotient: Remainder:
132
PROBLEM SET
EM2_0501SE_C_L15_problem_set.indd 132
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12/1/2021 11:56:40 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 15
Divide. Then check your work. 4. 868 ÷ 28
28 868
Check:
21 504
Check:
Quotient: Remainder:
5. 504 ÷ 21
Quotient: Remainder:
6. 865 ÷ 43
Check:
Quotient: Remainder:
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PROBLEM SET
133
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 15
Use the Read–Draw–Write process to solve the problem. 7. Tara uses 25 blocks to build a tower. She has 362 blocks. How many towers of 25 blocks can she build?
134
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 15
Date
15
A parking lot has 567 parking spots in 27 rows. If each row has the same number of parking spots, how many parking spots are in each row?
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 16
Date
16
Use the Read–Draw–Write process to solve the problem. 1. A tree farm has 15 rows of trees. Each row has the same number of trees. If there is a total of 1,635 trees, how many trees are in each row?
Use the Read–Draw–Write process to solve the problem. 2. Lacy plans to ride her bike 2,900 miles, which is about the distance from San Francisco to New York. If she rides 68 miles each week, how many weeks will it take Lacy to ride 2,900 miles?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 16
Name
16
Date
Estimate the partial quotients as you divide. The first estimate is started for you. Make as many estimates as you need to. Then check your work. 1. 5,985 ÷ 19
Estimates:
1
9
5, 9
8
5
÷ 20 =
Check:
5, 985 =
× 19
Quotient: Remainder:
2. 1,376 ÷ 32 Estimates:
3
2
1, 3
7
6
÷ 30 =
Check:
1,376 =
× 32
Quotient: Remainder: © Great Minds PBC •
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 16
3. 6,081 ÷ 27
Estimates:
2
7 6, 0
8
1
÷ 30 =
Check:
6,081 =
× 27 +
Quotient: Remainder:
Divide. Then check your work. 4. 7,242 ÷ 34 Check:
Quotient: Remainder:
140
PROBLEM SET
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12/1/2021 11:57:47 AM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 16
5. 3,164 ÷ 45 Check:
Quotient: Remainder:
6. 5,123 ÷ 47 Check:
Quotient: Remainder:
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PROBLEM SET
141
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TC ▸ Lesson 16
Use the Read–Draw–Write process to solve the problem. 7. A warehouse has 1,250 video games to distribute evenly to 12 stores. If the warehouse distributes as many as possible, how many games does each store get? How many games are left over?
142
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12/1/2021 11:57:48 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TC ▸ Lesson 16
Date
16
Divide. Then check your work.
7,139 ÷ 31
Quotient: Remainder:
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143
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
Name
17
Date
Write an expression to represent the statement. Use the tape diagram to help you. 1. 3 times the sum of 15 and 25
15 + 25
15 + 25
15 + 25
?
Draw a tape diagram and write an expression to represent the statement. 2. The difference between 72 and 48, then divide by 2
Write a statement and equation to represent the tape diagram. 3.
8
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8
8
6
6
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145
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
Use >, =, or < to compare the expressions. 4. 22 × (18 + 31)
(18 + 31) × 34
5. (2 × 8) + (10 × 8) 6. 145 × 71
146
LESSON
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(7 × 8) − (4 × 8)
(100 + 45) × (70 + 1)
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12/1/2021 11:58:52 AM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 17
Date
17
Draw a tape diagram and write an expression to represent the statement. 1. Double the sum of 9 and 6
2. The difference between 67 and 43, then divide by 2
3. 3 times as much as the sum of 11 and 29
4. The sum of two 18s and three 12s
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
Write a statement and an expression to represent the tape diagram. Then evaluate your expression. 5.
37
18
37
18
37
18
37
18
Statement: Expression: Value of expression:
6.
9
9
9
9
7
7
Statement: Expression: Value of expression:
7. Evaluate. a. 40 + (3 × 9) − 6
b. (40 + 3) × (9 − 6)
c. Why do expressions (a) and (b) have different values?
148
PROBLEM SET
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12/1/2021 12:00:14 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
8. Kelly forgot to put parentheses in her equation. Write parentheses to make her equation true.
6 + 8 × 12 − 2 = 140
Use >, =, or < to compare the expressions. Explain how you can compare the expressions without evaluating them. 9. 35 × (12 + 28)
(12 + 28) × 70
Explain:
10. 225 × 81
(200 + 25) × (80 + 1)
Explain:
11. (48 × 7) − (37 × 7)
(5 × 7) + (5 × 7)
Explain:
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PROBLEM SET
149
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
12. Consider the statement.
5 times as much as the sum of 319 and 758 a. Adesh makes a mistake when he writes an expression to represent the statement. What mistake does Adesh make?
(5 × 319) + 758
b. Write an expression to represent the statement.
c. Evaluate the expression you wrote in part (b).
150
PROBLEM SET
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12/1/2021 12:00:15 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 17
Name
Date
17
1. Write an expression to represent the statement. Draw a tape diagram if it helps you.
4 times as much as the sum of 3 and 12
2. Place parentheses to make the equation true.
12 × 3 + 2 − 5 = 55
3. Use >, =, or < to compare the expressions.
(24 × 3) + (10 × 3)
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(47 × 3) − (15 × 3)
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 18
Name
Date
18
1. 2 × (15 + 20)
2.
? 9
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9
9
16
16
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16
153
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 18
96
3.
33 ?
4. (24 − 6) ÷ 3
5. (9 + 4) × 3 − 6
154
LESSON
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 18
Name
Date
18
1. Draw lines to match the expressions to the word problems. a. (3 + 9 − 5) × 12
Yuna buys 3 bags of oranges. There are 9 oranges in each bag. She eats 5 oranges. Then she gives 12 oranges to her friends. How many oranges does Yuna have now?
b. 3 × 9 − 5 − 12
Tyler has 3 pencils. He finds 9 more pencils. Sasha has 5 times as many pencils as Tyler. Eddie has 12 fewer pencils than Sasha. How many pencils does Eddie have?
c. (3 + 9) × 5 − 12
Riley gets 3 books from the library on Monday and 9 more books on Tuesday. She reads and returns 5 books on Wednesday. Riley has 12 times as many books on her bookshelf as she still has from the library. How many books are on Riley’s bookshelf?
2. Write an expression that represents the tape diagram. Then write a word problem that can be represented by the tape diagram and expression.
? 12
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12
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12
17
155
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 18
3. Consider the expression.
4 × (15 + 8) Write a word problem that can be represented by the given expression.
4. Consider the expression.
(26 − 8) ÷ 2 a. Write a word problem that can be represented by the given expression.
b. Solve your problem.
156
PROBLEM SET
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12/1/2021 12:02:01 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 18
Name
Date
18
Write a word problem that can be solved by using the expression shown.
(6 + 7) × 11 − 34
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157
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 19 ▸ Multiplication and Division Tape Diagram Card Sort
Division (number of groups known)
Multiplication
96
Division (group size known)
...
6
How many 6s are in 96?
? 39
39
39
39
20 39
39
39
4
444
1,428 5
?
16
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... 42 groups
?
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4
325 groups
a 5
4
...
14
? groups
5
4
?
...
12
4
972 ?
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 19
Date
19
Use the Read–Draw–Write process to solve each problem. 1. A florist uses 2,448 flowers to make bouquets. They put 24 flowers in each bouquet and sell the bouquets for $25 each. If the florist sells all the bouquets of flowers, how much money do they earn?
2. Miss Song buys 15 boxes of fruit snacks for the school field day. Each box holds 24 packs of fruit snacks. She gives as many packs of fruit snacks as possible to 22 classrooms so that they each get the same number. How many extra packs of fruit snacks does Miss Song have?
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161
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 19
3. A carton of eggs has 12 eggs. A box of eggs holds 12 cartons. A baker uses 5 eggs for each cake he makes. If the baker buys 3 boxes of eggs, what is the greatest number of cakes he can make?
162
LESSON
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12/1/2021 12:05:37 PM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 19
Date
19
Use the Read–Draw–Write process to solve each problem. 1. Miss Baker orders 13 cases of soup for her grocery store. Each case has 48 cans of soup. She puts all the cans on the shelves so that each shelf has an equal number. If there are 16 shelves, how many cans of soup are on each shelf?
2. Mr. Sharma bakes 732 cupcakes each week for his bakery. He puts 12 cupcakes in each box and earns $14 for each box he sells. If he sells all the boxes of cupcakes, how much money does he earn?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 19
3. There are 9,675 people at a concert. An equal number of people sit in each of the 15 sections. A ticket for a seat in section B costs $47. What is the total cost of the tickets for the seats in section B?
4. 24 students are in each classroom at Oak Street School. There are 37 classrooms. Each row in the auditorium has 45 seats. What is the fewest number of rows needed for all the students to have a seat?
164
PROBLEM SET
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12/1/2021 12:13:44 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 19
5. A box of name tags holds 18 name tags. A case of name tags has 25 boxes. Principal Song buys 17 cases of name tags. She gives an equal number of name tags to each of 42 classrooms. If she gives out as many name tags as possible, how many extra name tags does Principal Song have?
6. A farmer’s cows produce 9,548 liters of milk in 31 days. Each cow produces 28 liters of milk a day. The farmer feeds each cow 17 kilograms of hay each day. What is the total number of kilograms of hay the cows eat each day?
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PROBLEM SET
165
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 19
Date
19
Use the Read–Draw–Write process to solve the problem. Blake buys 6 cases of water for a picnic. Each case has 32 water bottles. Blake plans to give everyone the same number of water bottles. If there are 48 people at the picnic, how many water bottles does each person get?
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167
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 20
20
Date
1. Match each mathematical expression with the real-world situation it represents. Mathematical Expression
Real-World Situation
A. (18 × 4) + 5
Leo buys 4 pens. Blake buys 5 pens. The total cost of the pens is $18. If all the pens cost the same amount, what is the cost for 1 pen?
B. 18 ÷ (4 + 5)
At a camp, 1 group has 18 kids, and 4 groups have 5 kids each. How many kids are at the camp?
C. (18 × 4) − 5
Sana buys 4 cases of water. Each case has 18 bottles. If she also has 5 cans of juice, how many total drinks does she have?
D. 18 + (4 × 5)
Yuna mows 4 lawns and gets paid $18 per lawn. If Yuna spends $5, how much money does she have left over?
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169
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 20
Use the Read–Draw–Write process to solve the problem. Show your thinking. 2. Jada is saving money for a computer that costs $1,149. That is three times as much money as she has already saved. Her parents also gave her $150 for the computer. Jada earns $14 each hour at her job. How many hours does Jada need to work to earn the remaining money she needs to buy the computer?
170
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12/1/2021 12:18:31 PM
EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 20
Date
20
Use the Read–Draw–Write process to solve each problem. 1. Noah delivers packages 4 days per week. He is expected to deliver 115 packages each day that he works. This week, he delivers 48 extra packages. How many packages does Noah deliver this week?
2. A motorcycle is 24 times as heavy as a bike. The motorcycle weighs 1,329 kilograms less than a car. The car weighs 1,521 kilograms. How many kilograms does the bike weigh?
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EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 20
3. The school librarian has $9,050 to spend on new carpet and chairs for the library. The library is 42 feet long and 37 feet wide. He buys carpet that costs $4 for each square foot. How much money does the librarian have to spend on chairs?
4. A load of bricks is twice as heavy as a load of wood. The total weight of 4 loads of bricks and 4 loads of wood is 768 kilograms. What is the total weight of 17 loads of wood?
172
PROBLEM SET
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12/1/2021 12:21:15 PM
EUREKA MATH2 Tennessee Edition
5 ▸ M1 ▸ TD ▸ Lesson 20
5. A driver earns $17 each hour. He earns a total of $1,224 in 4 weeks. A gardener works twice as many hours as the driver and earns $21 each hour. How much more money does the gardener earn than the driver in 4 weeks?
6. Each fish tank at the pet store holds 662 liters of water. There are 9 tanks of goldfish and 4 tanks of angelfish. The aquarium at the zoo holds 78 times as many liters of water as all the tanks at the pet store. How many more liters of water does the aquarium hold than the fish tanks?
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PROBLEM SET
173
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EUREKA MATH2 Tennessee Edition
Name
5 ▸ M1 ▸ TD ▸ Lesson 20
Date
20
Use the Read–Draw–Write process to solve the problem. Sasha builds a fence around part of her yard. The three sides of the fence measure 88 feet, 32 feet, and 48 feet. The fence comes in pieces that are 8 feet long. Each piece costs $48. How much does the fence cost?
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175
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EUREKA MATH2 Tennessee Edition
5 ▸ M1
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. All United States currency images Courtesy the United States Mint and the National Numismatic Collection, National Museum of American History. Cover, Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musee des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY.; page 47, Brovko Serhii/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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EUREKA MATH2 Tennessee Edition
5 ▸ M1
Acknowledgments Kelly Alsup, Adam Baker, Agnes P. Bannigan, Christine Bell, Reshma P Bell, Joseph T. Brennan, Dawn Burns, Amanda H. Carter, David Choukalas, Mary Christensen-Cooper, Nicole Conforti, Cheri DeBusk, Lauren DelFavero, Jill Diniz, Mary Drayer, Christina Ducoing, Karen Eckberg, Melissa Elias, Danielle A Esposito, Janice Fan, Scott Farrar, Gail Fiddyment, Ryan Galloway, Krysta Gibbs, January Gordon, Torrie K. Guzzetta, Kimberly Hager, Jodi Hale, Karen Hall, Eddie Hampton, Andrea Hart, Stefanie Hassan, Tiffany Hill, Christine Hopkinson, Rachel Hylton, Travis Jones, Laura Khalil, Raena King, Jennifer Koepp Neeley, Emily Koesters, Liz Krisher, Leticia Lemus, Marie Libassi-Behr, Courtney Lowe, Sonia Mabry, Bobbe Maier, Ben McCarty, Maureen McNamara Jones, Ashley Meyer, Pat Mohr, Bruce Myers, Marya Myers, Kati O’Neill, Darion Pack, Geoff Patterson, Victoria Peacock, Maximilian Peiler-Burrows, Brian Petras, April Picard, Marlene Pineda, DesLey V. Plaisance, Lora Podgorny, Janae Pritchett, Elizabeth Re, Meri Robie-Craven, Deborah Schluben, Colleen Sheeron-Laurie, Michael Short, Erika Silva, Jessica Sims, Tara Stewart, Heidi Strate, Theresa Streeter, Mary Swanson, James Tanton, Cathy Terwilliger, Saffron VanGalder, Rafael Vélez, Jessica Vialva, Allison Witcraft, Jim Wright, Jackie Wolford, Caroline Yang, Jill Zintsmaster 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
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12/10/2021 10:58:36 AM
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?
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?
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This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.
12/1/2021 11:13:08 AM
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?
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12/1/2021 11:13:08 AM
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 Place Value Concepts for Multiplication and Division with Whole Numbers Module 2 Addition and Subtraction with Fractions Module 3 Multiplication and Division with Fractions Module 4 Place Value Concepts for Decimal Operations Module 5 Addition and Multiplication with Area and Volume Module 6 Foundations to Geometry in the Coordinate Plane
What does this painting have to do with math? Color and music fascinated Wassily Kandinsky, an abstract painter and trained musician in piano and cello. Some of his paintings appear to be “composed” in a way that helps us see the art as a musical composition. In math, we compose and decompose numbers to help us become more familiar with the number system. When you look at a number, can you see the parts that make up the total? On the cover Thirteen Rectangles, 1930 Wassily Kandinsky, Russian, 1866–1944 Oil on cardboard Musée des Beaux-Arts, Nantes, France Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musée des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY
ISBN 978-1-63898-514-3
9
781638 985143