Understanding Proportions through Simplifying Ratios

In this video, Mr. J explains how to determine if two ratios form a proportion by simplifying them. He demonstrates this with two examples: one where the ratios are proportional and another where they are not. The key is to simplify each ratio and check if they reduce to the same value. If they do, they are proportional; if not, they are not proportional.

What is a proportion in terms of ratios?

• A pair of ratios that are equal

• A single ratio expressed in simplest form

• A comparison of two different units

• A ratio that cannot be simplified

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CCSS.7.RP.A.2A

How do you determine if two ratios are proportional?

• By adding the terms of the ratios

• By multiplying the terms of the ratios

• By simplifying both ratios and checking if they are equal

• By converting them to percentages

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CCSS.6.RP.A.1

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What is the simplified form of the ratio 10 to 15?

• 5 to 10

• 3 to 2

• 2 to 3

• 1 to 3

What is the greatest common factor used to simplify the ratio 8 to 12?

• 2

• 3

• 4

• 6

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CCSS.6.RP.A.3A

After simplifying, what is the common ratio for 10 to 15 and 8 to 12?

• 4 to 5

• 1 to 2

• 2 to 3

• 3 to 4

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CCSS.6.RP.A.1

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What is the simplified form of the ratio 21 to 12?

• 4 to 3

• 3 to 2

• 5 to 3

• 7 to 4

What is the greatest common factor used to simplify the ratio 14 to 6?

• 3

• 4

• 2

• 5

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CCSS.6.RP.A.1

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What is the simplified form of the ratio 14 to 6?

• 7 to 3

• 3 to 7

• 2 to 1

• 1 to 2

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CCSS.6.RP.A.3A

Why are the ratios 21 to 12 and 14 to 6 not proportional?

• They are already in simplest form

• They are not whole numbers

• They have different greatest common factors

• They simplify to different ratios

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CCSS.7.RP.A.2A

What is the key takeaway for determining if ratios are proportional?

• Ratios must be converted to percentages

• Ratios must be expressed as decimals

• Ratios must be multiplied by the same number

• Ratios must be simplified to the same ratio

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CCSS.7.RP.A.2A