Course 2, Lesson 1-3 Simplify. 1. 2. 3. 4. On her last science test, Maria answered of the questions...

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Course 2, Lesson 1-3

Simplify.

1. 2. 3.

4. On her last science test, Maria answered of the

questions incorrectly. Write as a fraction in

simplest form.

5. Jasmine is making a quilt. She bought yards of

fabric. Her total cost was $26. What was the cost per

yard?

934

11122

4512

15 %3

15 %3

14

3

Course 2, Lesson 1-3

Answers:

1. 12

2.

3.

4.

5. $6

1124

31

5

475

HOW can you show that two objects are proportional?

Ratios and Proportional Relationships

Course 2, Lesson 1-3

Ratios and Proportional Relationships

Course 2, Lesson 1-3 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

• 7.RP.2Recognize and represent proportional relationships between quantities.

• 7.RP.3Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Mathematical Practices

1 Make sense of problems and persevere in solving them.

3 Construct viable arguments and critique the reasoning of others.

4 Model with mathematics.

5 Use appropriate tools strategically.

• To convert one rate to an equivalent rate by multiplying by a unit ratio or its reciprocal.

Ratios and Proportional Relationships

Course 2, Lesson 1-3

Ratios and Proportional Relationships

Course 2, Lesson 1-3

•unit ratio

•dimensional analysis

12 inches1 foot

16 ounces1 pound

10 ft10 ft=1 s12 in.•

1 s 1 ft10 • 12 in. 120 in.= =

1 s • 1 1 s

How did what you learned today help you answer the

HOW can you show that two objects are proportional?

Course 2, Lesson 1-3

Ratios and Proportional Relationships

How did what you learned today help you answer the

HOW can you show that two objects are proportional?

Course 2, Lesson 1-3

Ratios and Proportional Relationships

Sample answers:• By finding unit ratios for customary and metric units of

measure• By using dimensional analysis when converting rates

Explain how yourknowledge of unit rates

helped you to convert rates using dimensional analysis.

Ratios and Proportional Relationships

Ratios and Proportional Relationships

Course 2, Lesson 1-3

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