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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