Set Up Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you set up a proportion?

Back

To set up a proportion, you create a fraction for each ratio and set them equal to each other.

Tags

CCSS.7.RP.A.2C

Front

What is cross-multiplication in the context of proportions?

Back

Cross-multiplication is a method used to determine if two ratios are proportional by multiplying the numerator of one ratio by the denominator of the other ratio.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for setting up a proportion based on a real-world scenario?

Back

The formula is \( \frac{a}{b} = \frac{c}{d} \), where a and b are quantities from one scenario, and c and d are quantities from another.

Tags

CCSS.7.RP.A.2C

Front

How can you determine if two fractions are equivalent?

Back

Two fractions are equivalent if their cross-products are equal.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Tags

CCSS.6.RP.A.3A

Front

In the context of proportions, what does 'scaling up' mean?

Back

Scaling up refers to increasing both quantities in a ratio by the same factor to maintain the proportion.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the factor that relates two proportional quantities.

Tags

CCSS.7.RP.A.2B

Front

How do you solve for an unknown in a proportion?

Back

To solve for an unknown in a proportion, cross-multiply and then isolate the variable.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a real-world application of proportions?

Back

An example is calculating the cost of items based on a known price for a different quantity.

Tags

CCSS.7.RP.A.3