Exploring Ratios and Unit Rates in Everyday Problems

This video tutorial explores the concepts of ratios and unit rates, explaining their importance in solving various problems. Ratios compare two numbers of the same type, illustrated through a bike gear example. The video demonstrates how to solve problems using ratios. Unit rates, which have different units in the numerator and denominator, are explained with examples from daily life, such as speed limits and nutritional information. The tutorial also covers how to use unit rates to compare prices, helping viewers make informed shopping decisions. The video concludes by encouraging viewers to apply these concepts in everyday situations.

What do ratios compare?

• Two units of measurement

• Two different types of numbers

• Two numbers of the same type

• A number and a unit

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

If the larger gear on a bike turns once, how many times does the smaller gear turn?

• Three times

• Four times

• Twice

• Once

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CCSS.7.EE.B.3

How many times will the smaller gear turn if the larger gear turns three times?

• 6 times

• 15 times

• 12 times

• 9 times

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CCSS.7.EE.B.3

What is a unit rate?

• A fraction with a denominator of zero

• A fraction with different units in the numerator and denominator

• A fraction with the same units in the numerator and denominator

• A fraction with a numerator of one

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Which of the following is an example of a unit rate?

• Miles per hour

• Gallons per gallon

• Miles per mile

• Hours per hour

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many servings of soup are there per can according to the label?

• 1.5 servings

• 2 servings

• 3 servings

• 2.5 servings

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the unit price of a 16-ounce box of cereal that costs $2.65?

• 16 cents per ounce

• 15 cents per ounce

• 17 cents per ounce

• 18 cents per ounce

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the unit price of a 28-ounce box of cereal that costs $3.80?

• 12 cents per ounce

• 13 cents per ounce

• 14 cents per ounce

• 15 cents per ounce

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Which box of cereal is the better deal based on unit price?

• Neither is a good deal

• The 28-ounce box

• The 16-ounce box

• Both are the same

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CCSS.6.RP.A.3B

Why are unit rates useful when shopping?

• They help you find the total cost

• They help you compare prices

• They help you find the weight of items

• They help you determine the brand

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CCSS.6.RP.A.3B