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6-8 Accelerated 6 Unit 4 Lesson 1

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K-5 Math •6-8 Math 9-12 Math

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•Accelerated 6 Accelerated 7

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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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 Lesson 18

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Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
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Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
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Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 4, Lesson 1

Tape Diagrams and Equations

Accelerated 6

Practice

Problem 1

Here is an equation: \(x + 4 = 17\)

Draw a tape diagram to represent the equation.
Which part of the diagram shows the quantity \(x\)? What about 4? What about 17?
How does the diagram show that \(x+4\) has the same value as 17?

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Problem 2

Lesson 1 Resources

Student Materials

Diego is trying to represent the equation \(5 \boldcdot x = 35\). He draws this diagram but is not certain how to proceed.

Tape diagram. 5 equal parts labeled x, x, x, x, x.

Complete the tape diagram so it represents the equation \(5 \boldcdot x = 35\).

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Problem 3

Match each equation to one of the two tape diagrams.

\(x + 3 = 9\)
\(3 \boldcdot x = 9\)
\(9=3 \boldcdot x\)
\(3+x=9\)
\(x = 9 - 3\)
\(x = 9 \div 3\)
\(x + x+ x = 9\)

Tape diagram A, 3 equal parts labeled, x. Total, 9. — A

Tape diagram B, 2 parts labeled x and 3. Total, 9. — B

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Problem 4

For each equation, draw a tape diagram that represents the same relationship. Then explain what the letter \(x\) represents in each relationship.

\(x+9=16\)
\(4 \boldcdot x = 28\)

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Problem 5

ForLesson 20: Dividing a Decimal by a Decimal

A shopper paid \$2.52 for 4.5 pounds of dry cat food, \$7.75 for 2.5 pounds of wet cat food, and \$2.45 for 2.5 pounds of kitty litter. What is the unit price of each item she bought? Show your reasoning.

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Problem 6

ForLesson 24: Solving Percentage Problems

A water bottle contains 16.9 fluid ounces. Andre drinks 80% of the bottle. How many fluid ounces does Andre drink? Show your reasoning.

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Problem 7

ForLesson 21: What Are Percentages?

The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of milk has 25% of the recommended daily allowance of calcium. How many milligrams of calcium are in 1 cup of milk? If you get stuck, consider using the double number line diagram.

A double number line.

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