Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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Ratios can be written in three ways: using the word 'to' (e.g., 2 to 3), using a colon (e.g., 2:3), or as a fraction (e.g., 2/3).

Tags

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 two quantities, even if the numbers are different (e.g., 2:3 is equivalent to 4:6).

Tags

CCSS.6.RP.A.3A

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How do you find equivalent ratios?

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

Tags

CCSS.6.RP.A.3A

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What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

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The ratio of pears to all fruit is 5:11.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 3 cups of flour and 2 cups of chocolate chips, what is the ratio of chocolate chips to flour?

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The ratio of chocolate chips to flour is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the purpose of a ratio table?

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A ratio table is used to organize and compare ratios, helping to identify equivalent ratios and solve problems involving proportions.

Tags

CCSS.6.RP.A.3A

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How do you solve for a missing value in a ratio table?

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To solve for a missing value in a ratio table, you can use equivalent ratios to set up a proportion and solve for the unknown.

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What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean if two ratios are proportional?

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Two ratios are proportional if they represent the same relationship, meaning they can be expressed as equivalent fractions.

Tags

CCSS.7.RP.A.2A