Unit 1 Proportional Relationships: Ratios & Rates

Front

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.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as miles per hour or price per item.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate, meaning as one quantity changes, the other changes at a consistent rate.

Front

How do you find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other when they are in a proportional relationship.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to compare prices or speeds.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the formula for finding a missing value in a proportional relationship?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

What is the relationship between cups of strawberries and cups of sugar in the given recipe?

Back

The relationship is proportional, with a constant of proportionality of 20, meaning for every 1/4 cup of sugar, there are 5 cups of strawberries.

Front

How do you set up an equation for a proportional relationship?

Back

To set up an equation, express one variable in terms of the other using the constant of proportionality, such as w = k * j.

Front

What does it mean to reduce a fraction?

Back

Reducing a fraction means simplifying it to its lowest terms by dividing the numerator and denominator by their greatest common factor.