Ratios and Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, decimal, or with a colon (e.g., 3:2).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written in the form a/b = c/d.

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CCSS.7.RP.A.2B

Front

What is the constant of proportionality?

Back

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

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CCSS.7.RP.A.2B

Front

How do you calculate speed using distance and time?

Back

Speed is calculated by dividing the distance traveled by the time taken, expressed as Speed = Distance / Time.

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CCSS.6.RP.A.3B

Front

What is the formula for converting a scale in a blueprint to actual measurements?

Back

To convert a scale to actual measurements, use the formula: Actual Length = (Blueprint Length) * (Scale Factor).

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other, then solve for the unknown variable.

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CCSS.7.RP.A.2C

Front

What is the relationship between direct variation and proportionality?

Back

Direct variation is a specific type of proportionality where one variable is a constant multiple of another, expressed as y = kx.

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CCSS.7.RP.A.2D

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Tags

CCSS.7.RP.A.2A

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically as a straight line that passes through the origin (0,0).

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CCSS.7.RP.A.2D

Front

What is the significance of the scale in a blueprint?

Back

The scale in a blueprint indicates the ratio of the dimensions in the drawing to the actual dimensions, allowing for accurate construction.

Tags

CCSS.7.RP.A.2C