Basic Ratios

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What is a ratio?

Back

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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What are the three ways to express a ratio?

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1. Using the word 'to' (e.g., 2 to 3) 2. Using a colon (:) (e.g., 2:3) 3. As a fraction (e.g., 2/3)

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CCSS.6.RP.A.1

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What does 'part-to-whole' mean in the context of ratios?

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'Part-to-whole' refers to a ratio that compares a part of a quantity to the entire quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does 'part-to-part' mean in the context of ratios?

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'Part-to-part' refers to a ratio that compares one part of a quantity to another part of the same quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a team won 3 games and lost 9 games, what is the ratio of wins to games played?

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The ratio of wins to games played is 3:12, which simplifies to 1:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

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The ratio of red to yellow marbles is 2:5.

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CCSS.6.RP.A.1

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How do you determine if a ratio is part-to-part or part-to-whole?

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Identify whether the ratio compares a part to the whole quantity (part-to-whole) or compares two parts of the same whole (part-to-part).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of boys to girls if there are 10 boys and 15 girls?

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The ratio of boys to girls is 10:15, which simplifies to 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If there are 8 stars and 4 circles, what is the ratio of stars to circles?

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The ratio of stars to circles is 8:4, which simplifies to 2:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of using ratios in real-life applications?

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Ratios help compare quantities, understand relationships, and make informed decisions based on proportional reasoning.