Exploring Ratios and Their Equivalents

This video tutorial introduces the concept of ratios, explaining how they compare two or more quantities. It covers three methods of writing ratios: word form, column form, and fraction form. The tutorial also demonstrates how to simplify ratios to their lowest terms and find equivalent ratios through multiplication and division. Practical examples, such as comparing apples to mangoes and students to classrooms, are used to illustrate these concepts.

What is a ratio?

• A type of fraction

• A method to compare two or more quantities

• A mathematical operation like addition

• A way to measure absolute quantities

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How can a ratio be written?

• As a decimal

• In word, colon, and fraction forms

• Only in word form

• Using symbols only

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CCSS.6.RP.A.1

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What is the ratio of apples to mangoes if you have 3 apples and 6 mangoes?

• 6 to 3

• 2 to 1

• 3 to 6

• 1 to 2

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CCSS.6.RP.A.1

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How do you write a ratio in fraction form?

• Numerator is the second quantity

• Denominator is the first quantity

• Numerator is the first quantity and denominator is the second quantity

• Both quantities are added together

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CCSS.6.RP.A.1

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What does simplifying a ratio mean?

• Changing the ratio's form

• Making the ratio larger

• Multiplying the ratio by a common factor

• Reducing the ratio to its lowest terms

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What is an equivalent ratio?

• Ratios that have the same value when simplified

• A ratio that is exactly the same as another

• Ratios that can only be expressed in fraction form

• Ratios that represent different quantities

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CCSS.6.RP.A.3A

How can you find an equivalent ratio?

• By subtracting the same number from both terms

• By adding the same number to both terms

• By swapping the terms

• By multiplying or dividing both terms by the same number

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CCSS.6.RP.A.3A

What is the simplest form of the ratio 500 to 10?

• 10 to 1

• 50 to 1

• 100 to 2

• 5 to 1

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If you have a ratio of 2 donuts to 1 drink, what is an equivalent ratio?

• 1 to 2

• 4 to 2

• 4 to 1

• 2 to 4

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CCSS.6.RP.A.3A

What is the greatest common factor used to simplify the ratio 368 to 8?

• 368

• 46

• 8

• 4

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CCSS.6.RP.A.3A