Understanding Equivalent Ratios

The video tutorial covers the concept of equivalent ratios, starting with a definition and practical examples using iced tea and a bouquet of flowers. It explains how to determine if two ratios are equivalent and why this is useful. The tutorial also demonstrates solving ratio problems using tape diagrams, including a flower bouquet and a rice recipe. The video concludes with exercises to reinforce understanding.

What is the main reason for finding equivalent ratios?

• To reduce the number of ingredients

• To increase the complexity of calculations

• To ensure consistency in mixtures

• To change the taste of a mixture

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CCSS.7.RP.A.2B

If you double the amount of water in a mixture, what should you do to the other ingredient to maintain the same taste?

• Halve the other ingredient

• Triple the other ingredient

• Keep the other ingredient the same

• Double the other ingredient

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

In the bouquet example, what is the ratio of roses to daisies?

• 3 to 2

• 3 to 5

• 2 to 3

• 1 to 2

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CCSS.1.NBT.A.1

How many total flowers are there in the bouquet problem?

• 21

• 105

• 63

• 42

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CCSS.3.OA.A.3

What is the constant value used in the bouquet problem to find the number of roses and daisies?

• 21

• 10

• 3

• 5

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CCSS.6.RP.A.3A

Which of the following is an equivalent ratio to 3:5?

• 12:20

• 9:15

• 8:12

• 6:10

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CCSS.6.RP.A.3A

What happens if you multiply the two sides of a ratio by different numbers?

• The ratios remain equivalent

• The ratios become non-equivalent

• The ratios become equal

• The ratios become zero

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

In the rice recipe, what is the ratio of water to rice?

• 1 to 3

• 1 to 2

• 2 to 1

• 3 to 1

Tags

CCSS.6.RP.A.3B

How many cups of water are needed for 4 cups of rice in the given recipe?

• 4 cups

• 6 cups

• 8 cups

• 10 cups

What is the equivalent ratio of 2:1 in the rice recipe when using 8 cups of water?

• 4:2

• 8:4

• 6:3

• 10:5