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6-8 Grade 6 Unit 4 Lesson 13

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Unit 4, Lesson 13

Rectangles with Fractional Side Lengths

Grade 6

Practice

Problem 1

Student Task Statement

Find the unknown side length of the rectangle if its area is 11 m². Show your reasoning.

A rectangle that has area labeled 11 meters squared. The side length of one side of the rectangle is labeled three and two thirds meters and the side length of the other side is labeled with a question mark. Each angle has a right angle symbol indicated.
Check your answer by multiplying it by the given side length (). Is the resulting product 11? If not, revise your previous work.

Lesson 13 Resources

Student Materials Student Materials in Spanish

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Problem 2

Student Task Statement

A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths feet. How many tiles are needed to cover the entire floor? Show your reasoning.

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Problem 3

Student Task Statement

A television screen has length inches, width inches, and area 462 square inches. Select all the equations that represent the relationship of the side lengths and area of the television.

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Problem 4

Student Task Statement

The area of a rectangle is in² and its shorter side is in. Draw a diagram that shows this information. What is the length of the longer side?

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Problem 5

ForLesson 12: Fractional Lengths

Student Task Statement

A bookshelf is 42 inches long.

How many books of length inches will fit on the bookshelf? Explain your reasoning.
A bookcase has 5 of these bookshelves. How many feet of shelf space is there? Explain your reasoning.

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Problem 6

ForLesson 11: Using an Algorithm to Divide Fractions

Student Task Statement

Find the value of . Show your reasoning.

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Problem 7

ForLesson 6: Using Diagrams to Find the Number of Groups

Student Task Statement

How many groups of are in each of these quantities?

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Problem 8

ForLesson 14: Solving Equivalent Ratio Problems

Student Task Statement

It takes minutes to fill a 3-gallon bucket of water with a hose. At this rate, how long does it take to fill a 50-gallon tub? If you get stuck, consider using a table.

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