Ratios & Proportional Relationships

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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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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

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the number of items. For example, if 4 tickets cost $32, the unit rate is $32 ÷ 4 = $8 per ticket.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

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CCSS.7.RP.A.2B

Front

If 1/2 cup of trail mix has 125 calories, how many calories are in 1 cup?

Back

1 cup has 250 calories (125 calories x 2).

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CCSS.6.RP.A.3B

Front

How do you determine which option has a lower unit price?

Back

Calculate the unit price for each option by dividing the total cost by the number of items, then compare the results.

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CCSS.6.RP.A.3B

Front

What is the formula to find the total amount earned based on hours worked and hourly rate?

Back

Total Amount Earned = Hourly Rate x Number of Hours Worked.

Front

If a recipe calls for a ratio of 2:1 for ingredients, what does this mean?

Back

It means for every 2 parts of one ingredient, there is 1 part of another ingredient.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.

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CCSS.6.RP.A.3A