Introduction to Equivalent Ratios

Introduction
to
Equivalent Ratios

Warm-up: Ratio Review
Learning Objectives
Vocabulary
Turn & Talks
Knowledge Checks
Notes & Practice
Exit Ticket

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Today's Agenda

Warm-up:
Ratio Review

Multiple Choice

What is a ratio?

• A comparison of two numbers by division or multiplication

• A comparison of two numbers

• A comparison of two numbers by addition
• A comparison of two numbers by subtraction

Multiple Choice

What is the ratio of cats to dogs?

• The ratio of cats to dogs is 8:11

• The ratio of cats to dogs is 12:9

• The ratio of cats to dogs is 9:12

• The ratio of cats to dogs is 10:13

Multiple Choice

What is the ratio of dogs to the total number of animals?

• The ratio of dogs to the total number of animals is 12:9

• The ratio of dogs to the total number of animals is 12:21

• The ratio of dogs to the total number of animals is 21:12

• The ratio of dogs to the total number of animals is 9:12

Multiple Choice

What is the ratio of the total number of animals to cats?

• The ratio of the total number of animals to cats is 12:9

• The ratio of the total number of animals to cats is 12:21

• The ratio of the total number of animals to cats is 21:12

• The ratio of the total number of animals to cats is 21:9

• Comprehend the word “ratio” (in written and spoken language) and the notation a​:b​ (in written language) to refer to an association between quantities.

• Identify and explain (in written and spoken language) equivalent ratios.

• Comprehend the words “row” and “column” (in written and spoken language) as they are used to describe a table of equivalent ratios.

​LEARNING OBJECTIVES

 Equivalent Ratios:
Two ratios are equivalent if you can multiply or divide (evenly) each of the numbers in the first ratio by the same number to get the numbers in the second ratio. 

Knowledge
Check

Multiple Select

What is an equivalent ratio?

• A ratio that represents the same relationship between two quantities.

• A ratio that represents different relationships between two quantities.

• A ratio that comes from multiplication or division by a common factor.

• A ratio that can not be simplified.

PARTNER A: Tell your partner the answer to the question.

PARTNER B: Tell your partner if you agree or disagree and why.

​TURN & TALK

How do you know when ratios are equivalent and when they are not equivalent?

A recipe for lemonade says to use 8 cups of water and 6 lemons.
How much water and lemons will it take to make four times as much lemonade?

How much water and lemons will it take to make half as much lemonade?

Use the table below to answer the question. 

NOTES

A’Layna is having a birthday party so Elise decides to bake her a cake. The recipe for chocolate cake says to use 10 cups of flour and 7 cups of sugar.

How much flour and sugar will it take for Elise to make five cakes?

Use the table below to answer the question. 

NOTES

PARTNER B: Tell your partner the answer to the question.

PARTNER A: Tell your partner if you agree or disagree and why.

​TURN & TALK

How do you know that these ratios are equivalent?

Andrew has earned 14 phill bills.
Aubree has earned 21 phill bills. 

Write an equivalent ratio for three times the amount of phill bills for Andrew to Aubree.

Use the table below to answer the question. 

Individual Practice

EXIT TICKET