7th Grade Proportions

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the constant of proportionality?

Back

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

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a quantity per one unit of the second quantity.

Front

If there are 75 pieces of candy in a 15 oz bag, how many pieces are there per ounce?

Back

There are 5 pieces of candy per ounce.

Front

What is the formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity / Total Units.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time taken at a constant speed.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the ratios and draw a straight line through the origin.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and two ratios are equivalent if their fractions simplify to the same value.