Lesson: Slope and Rate of Change Mathematics • 8th Grade

In this lesson, we will learn how to interpret the slope of a straight line as the rate of change of two quantities.

Lesson Plan

Students will be able to

recall the formula for calculating the slope of a straight line,
understand how slope is related to the rate of change of two quantities,
calculate the rate of change of two quantities in a linear relationship given
- two points that the line passes through,
- an input–output table,
- a graph,
determine whether a slope is positive, negative, 0, or undefined,
compare multiple linear relationships and their rates of change.

Lesson Video

Lesson Explainer

Lesson Playlist

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04:10
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02:16

Lesson Worksheet

Q1:

Which of the following functions has a rate of change that is more rapid than the function shown in the graph?

Q2:

Determine which of the given functions has the greatest rate of change.

(a)

(b) a function where the input is multiplied by 3 and subtracted from 4

(c)

(d)

Q3:

At an amusement park, a booth was selling soft drinks. By 2:00 pm, 37 soft drinks were sold, and, by 4:00 pm, 69 were sold. Assuming that the booth was selling at a linear rate during this period, determine the slope of the line representing this information.