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6-8 Grade 6 Unit 4 Lesson 14

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K-5 Math •6-8 Math 9-12 Math

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 •Lesson 14 Lesson 15 Lesson 16 Lesson 17

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Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
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Unit 4, Lesson 14

Fractional Lengths in Triangles and Prisms

Grade 6

Practice

Problem 1
Student Task Statement
Clare is using little wooden cubes with edge lengths of inch to build a larger cube that has edge lengths of 4 inches. How many little cubes does she need? Explain your reasoning.

Lesson 14 Resources

Student Materials Student Materials in Spanish

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Problem 2

Student Task Statement

The triangle has an area of cm² and a base of cm.

What is the length of ? Explain your reasoning.

A triangle.

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Problem 3

Student Task Statement

Which expression can be used to find how many cubes with edge lengths of unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning.
Mai says that we can also find the answer by multiplying the edge lengths of the prism and then multiplying the result by 27. Do you agree with her? Explain your reasoning.

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Problem 4

ForLesson 12: Fractional Lengths

Student Task Statement

A builder is building a fence with -inch-wide wooden boards, arranged side-by-side with no gaps or overlaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.

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Problem 5

ForLesson 12: Fractional Lengths

Student Task Statement

Find the value of each expression. Show your reasoning and check your answer.

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Problem 6

ForLesson 11: Using an Algorithm to Divide Fractions

Student Task Statement

A bucket contains gallons of water and is full. How many gallons of water would be in a full bucket?

Write a multiplication and a division equation to represent the situation.
Find the answer and show your reasoning.

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Problem 7

ForLesson 12: Representing Percentages in Different Ways

Student Task Statement

There are 80 kids in a gym. 75% are wearing socks. How many are not wearing socks? If you get stuck, consider using a tape diagram.

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Problem 8

ForLesson 11: Representing Percentages with Double Number Line Diagrams

Student Task Statement

The regular fare for a train ride between two cities is $75 per person. During a promotion, train riders can save $37.50 each. What percentage of the regular fare is the discount?
Noah wants to save $60. If he has saved $45 so far, what percentage of his goal has he saved?

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