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Lesson 11

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Lesson 11:Fraction Multiplication and the Product of Decimals
Classwork
Exploratory Challenge
You will not only solve each problem, but your groups will also need to prove to the class that the decimal in the product
is located in the correct place. As a group, you will be expected to present your informal proof to the class.
1.

Calculate the product.

2.

Xavier earns
per hour working at the nearby grocery store. Last week, Xavier worked for
much money did Xavier earn last week? Remember to round to the nearest penny.

hours. How

Discussion
Record notes from the discussion in the box below.

Lesson 11:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Fraction Multiplication and the Product of Decimals
12/18/13

S.43

This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

43
Lesson 11

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Exercises 1–4
1.

Calculate the product.

2.

Kevin spends
on lunch every week during the school year. If there are
weeks during the school year,
how much does Kevin spend on lunch over the entire school year? Remember to round to the nearest penny.

3.

Gunnar’s car gets
miles per gallon, and his gas tank can hold
Gunnar travel if he uses all of the gas in the gas tank?

4.

The principal of East High School wants to buy a new cover for the sand pit used in the long jump competition. He
measured the sand pit and found that the length is
feet and the width is
feet. What will the area of the
new cover be?

Lesson 11:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

gallons of gas. How many miles can

Fraction Multiplication and the Product of Decimals
12/18/13

S.44

This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

44
Lesson 11

NYS COMMON CORE MATHEMATICS CURRICULUM

6•2

Problem Set
Solve each problem. Remember to round to the nearest penny when necessary.
1.

Calculate the product:

2.

Deprina buys a large cup of coffee for
on her way to work every day. If there are
how much does Deprina spend on coffee throughout the entire month?

3.

Krego earns
month, Krego sold

4.

Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are
feet by
feet, what is the area of her yard?

works days in the month,

every month. He also earns an extra
every time he sells a new gym membership. Last
new gym memberships. How much money did Krego earn last month?

Lesson 11:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Fraction Multiplication and the Product of Decimals
12/18/13

S.45

This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

45

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G6 m2-b-lesson 11-s

  • 1. Lesson 11 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Lesson 11:Fraction Multiplication and the Product of Decimals Classwork Exploratory Challenge You will not only solve each problem, but your groups will also need to prove to the class that the decimal in the product is located in the correct place. As a group, you will be expected to present your informal proof to the class. 1. Calculate the product. 2. Xavier earns per hour working at the nearby grocery store. Last week, Xavier worked for much money did Xavier earn last week? Remember to round to the nearest penny. hours. How Discussion Record notes from the discussion in the box below. Lesson 11: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Fraction Multiplication and the Product of Decimals 12/18/13 S.43 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 43
  • 2. Lesson 11 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Exercises 1–4 1. Calculate the product. 2. Kevin spends on lunch every week during the school year. If there are weeks during the school year, how much does Kevin spend on lunch over the entire school year? Remember to round to the nearest penny. 3. Gunnar’s car gets miles per gallon, and his gas tank can hold Gunnar travel if he uses all of the gas in the gas tank? 4. The principal of East High School wants to buy a new cover for the sand pit used in the long jump competition. He measured the sand pit and found that the length is feet and the width is feet. What will the area of the new cover be? Lesson 11: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org gallons of gas. How many miles can Fraction Multiplication and the Product of Decimals 12/18/13 S.44 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 44
  • 3. Lesson 11 NYS COMMON CORE MATHEMATICS CURRICULUM 6•2 Problem Set Solve each problem. Remember to round to the nearest penny when necessary. 1. Calculate the product: 2. Deprina buys a large cup of coffee for on her way to work every day. If there are how much does Deprina spend on coffee throughout the entire month? 3. Krego earns month, Krego sold 4. Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are feet by feet, what is the area of her yard? works days in the month, every month. He also earns an extra every time he sells a new gym membership. Last new gym memberships. How much money did Krego earn last month? Lesson 11: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Fraction Multiplication and the Product of Decimals 12/18/13 S.45 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 45