Ratio/Unit Rates/Equivalent Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the unit rate from a total amount?

Back

To find the unit rate, divide the total amount by the number of units. For example, if you earn $20.40 in 3 hours, divide 20.40 by 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, such as 1:2 and 2:4.

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CCSS.6.RP.A.3A

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How can you express a ratio as a fraction?

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A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, the ratio 18:3 can be written as 18/3.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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What is the unit price?

Back

The unit price is the cost per single unit of measure, helping to compare prices of different sizes or quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you determine which product is a better deal based on unit price?

Back

Calculate the unit price for each product and compare them; the lower unit price indicates the better deal.

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CCSS.6.RP.A.3B

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Are the ratios 3:10 and 9:20 equivalent?

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No, they are not equivalent because 3/10 does not equal 9/20 when simplified.

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CCSS.6.RP.A.3A

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and write them in ratio form.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2