Day 56: Review of Proportional Tables, Equations, & Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you identify a proportional table?

Back

A proportional table shows pairs of numbers that maintain a constant ratio. If you divide one number by the other in each pair, the result will be the same.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, represented as k = y/x.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then ad = bc.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio between quantities is constant, while in non-proportional relationships, the ratio changes.

Front

How do you solve for a missing value in a proportional equation?

Back

To solve for a missing value in a proportional equation, set up the equation using the known values and cross-multiply to find the unknown.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you represent proportional relationships in real-life situations?

Back

Proportional relationships can be represented in real-life situations such as speed (distance per time), pricing (cost per item), and density (mass per volume).