Ratios & Equivalent Ratios

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What is a ratio?

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A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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A ratio can be written in three ways: using the word 'to' (e.g., 3 to 4), using a colon (e.g., 3:4), or as a fraction (e.g., 3/4).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for a ratio to be in simplest form?

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A ratio is in simplest form when the numbers cannot be reduced any further, meaning they have no common factors other than 1.

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CCSS.6.RP.A.3A

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different (e.g., 2:3 is equivalent to 4:6).

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CCSS.6.RP.A.3A

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How can you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is the ratio of boys to girls in a class with 16 boys and 32 girls?

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The ratio of boys to girls is 1:2 when simplified.

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CCSS.6.RP.A.1

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If there are 46 employees and 10 commute by bicycle, what is the ratio of bicycle commuters to total employees in simplest form?

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The ratio is 5:23.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you predict the number of items based on a ratio?

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To predict the number of items based on a ratio, set up a proportion using the known ratio and solve for the unknown quantity.

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What is the ratio of STARS to SQUARES if there are 3 STARS and 4 SQUARES?

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The ratio of STARS to SQUARES is 3:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2