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 form a proportion?

Back

Cross-multiply the ratios. If the products are equal, they form a proportion.

Front

What does it mean if two ratios do not form a proportion?

Back

It means that the two ratios are not equivalent and do not represent the same relationship.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is an example of a proportion?

Back

1/2 = 2/4 is a proportion because both ratios are equivalent.

Front

What is a non-example of a proportion?

Back

1/3 = 2/5 is not a proportion because the ratios are not equivalent.

Front

What is a key characteristic of a proportional relationship on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio or rate in a proportional relationship.

Front

How can you find the constant of proportionality from a table of values?

Back

Divide the output value by the input value for any pair of corresponding values.