Word Bank - Identify and Use Proportional Relationships

Equivalent Ratios

Two or more ratios that show the same comparison. We can create equivalent ratios by multiplying both parts of the ratio by the same number. For example, a:b is equivalent to na: nb.

Unit Rate

The rate for 1 of something. For example, given the rate 60 miles every 2 hours, the unit rate is 30 miles per hour. We can find the unit rate for a:b by calculating the quotient a÷b.

X-Coordinate

The first number in an ordered pair. The x-coordinate describes the horizontal position of a point.

Y-Coordinate

The second number in an ordered pair. The y-coordinate describes the vertical position of a point.

Quantities

Groups of objects that can be measured or counted

Annotate

To mark up or add notes in a way that builds understanding

Input

The starting value in a relationship. We sometimes refer to the input as the independent variable. The input for a relationship is often the x-value.

Output

The resulting value in a relationship. We sometimes refer to the output as the dependent variable - its value depends on the input we choose. The output for a relationship is often the y-value.

Proportional relationship

A relationship between two quantities where one quantity is a constant multiple of the other quantity. We can write an equation for a proportional relationship using the form y=kx, where y is one of the quantities in the relationship, k is the constant of proportionality for the relationship, and x is the other quantity in the relationship.

Constant of proportionality

The unit rate for a proportional relationship. We use the variable k to represent the constant of proportionality.