Exploring Ratios and Unit Rates

This video tutorial by Mr. Reilly covers the first lesson on proportional relationships, focusing on ratios and unit rates. It explains how to simplify ratios, calculate unit rates, and apply these concepts in real-world scenarios. The tutorial also includes examples and guided practice problems to reinforce learning.

What is a ratio?

• A comparison of two quantities by multiplication

• A comparison of two quantities by division

• A comparison of two quantities by subtraction

• A comparison of two quantities by addition

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

How can you simplify the ratio 12:18?

• 3:4

• 4:5

• 2:3

• 1:2

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Which of the following numbers is divisible by 5?

• 23

• 42

• 55

• 67

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CCSS.4.OA.B.4

What is the simplified form of the ratio 15:100?

• 5:15

• 3:20

• 1:5

• 15:30

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

If a mouse lives 3 years and a dolphin lives 30 years, what is the ratio of the lifespan of a dolphin to a mouse?

• 1:10

• 3:30

• 30:3

• 10:1

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is a unit rate?

• A ratio where both quantities are always 1

• A ratio where the two quantities have the same units

• A ratio where the two quantities have different units

• A ratio where one quantity is always 1

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CCSS.6.RP.A.1

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How do you calculate a unit rate?

• Multiply the numerator and denominator

• Subtract the denominator from the numerator

• Add the numerator and denominator

• Divide the numerator by the denominator

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many ounces are there in 3 pounds?

• 64

• 48

• 32

• 16

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CCSS.4.MD.A.1

Which store offers a better price per song if Store A sells 15 songs for $12 and Store B sells 10 songs for $9?

• Cannot be determined

• Both stores have the same price

• Store B

• Store A

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CCSS.6.RP.A.3B

If a bakery makes 195 donuts in 3 hours, how many donuts can it make in 8 hours?

• 480

• 520

• 650

• 390

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CCSS.6.RP.A.3B