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6-8 Grade 6 Unit 6 Lesson 14

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Unit 6, Lesson 14

Evaluating Expressions with Exponents

Grade 6

Practice

Problem 1

Student Task Statement

Lin says, “I took the number 8, and then multiplied it by the square of 3.” Select all the expressions that equal the result of Lin’s operations.

Lesson 14 Resources

Student Materials Student Materials in Spanish

72

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Problem 2

Student Task Statement

Find the value of each expression.

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Problem 3

Student Task Statement

Andre says, “I multiplied 4 by 5, then cubed the result.” Select all the expressions that equal the result of Andre’s operations.

500
8,000

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Problem 4

Student Task Statement

Han has 10 cubes, and each cube has an edge length of 5 inches.

Write an expression with an exponent that represents the total volume of Han’s cubes, in cubic inches.
Write an expression with an exponent that represents the total surface area of Han’s cubes, in square inches.

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Problem 5

ForLesson 13: Expressions with Exponents

Student Task Statement

Priya says that . Do you agree with Priya? Explain or show your reasoning.

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Problem 6

ForLesson 6: Percentages and Equations

Student Task Statement

Answer each question. Show your reasoning.

125% of is 30. What is ?
35% of is 14. What is ?

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Problem 7

ForLesson 4: Practice Solving Equations

Student Task Statement

Which expression represents the solution to the equation

?

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Problem 8

ForLesson 7: Using Diagrams to Represent Multiplication

Student Task Statement

Jada explains how she finds :

“I know that ten 23s is 230, so five 23s will be half of 230, which is 115.
15 is 10 plus 5, so is 230 plus 115, which is 345.”

Do you agree with Jada? Explain your reasoning
Draw a 15-by-23 rectangle. Partition the rectangle into two rectangles and label them to show Jada’s reasoning.

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