Ratios & Equivalent Ratios

What is a ratio?

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

• A ratio is a mathematical expression that represents the difference between two numbers.

• A ratio is a method of calculating the average of a set of numbers.

• A ratio is a way to express a single quantity in terms of another quantity.

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CCSS.6.RP.A.1

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If a recipe calls for 4 cups of sugar and 2 cups of flour, what is the ratio of sugar to flour?

• 4:2

• 1:2

• 2:1

• 3:1

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

If a bag contains 10 blue and 15 red candies, what is the ratio of blue to red candies?

• 10:15

• 2:3

• 3:2

• 1:1

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CCSS.6.RP.A.1

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In a class, the ratio of boys to girls is 3:5. If there are 15 boys, how many girls are there?

• 20 girls

• 22 girls

• 25 girls

• 30 girls

How can you find missing values in a ratio table?

• By using equivalent ratios and cross-multiplication.

• By averaging the known values.

• By subtracting the smallest value from the largest.

• By multiplying all values together.

How do you express a ratio?

• Using a colon (e.g., 2:3)

• As a percentage (e.g., 66.67%)

• Using a decimal (e.g., 0.67)

• Using the word 'and' (e.g., 2 and 3)

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CCSS.6.RP.A.1

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What is the relationship between ratios and fractions?

• Ratios can be expressed as fractions, and they represent the same relationship between two quantities.

• Ratios and fractions are completely unrelated concepts.

• Fractions can only be expressed as ratios when they are whole numbers.

• Ratios are always larger than fractions.

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CCSS.6.RP.A.1

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If the ratio of moons to suns is 4:8, what is the simplified ratio?

• 1:3

• 1:2

• 2:3

• 4:8

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the ratio of chocolate chips to flour in a recipe that uses 3 cups of flour and 2 cups of chocolate chips?

• 1:2

• 2:3

• 3:2

• 4:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

How do you determine if two ratios are equivalent?

• Two ratios are equivalent if their cross-products are equal.

• Two ratios are equivalent if they have the same numerator.

• Two ratios are equivalent if they have the same denominator.

• Two ratios are equivalent if they can be simplified to the same fraction.

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CCSS.6.RP.A.3A