Sophia: Constant Rates of Change and Proportional Relationships

Rates of change can be a slippery slope. The resource makes the connection between the rate of change and the slope of a line. It continues on to provide examples of how to interpret the slope and the y-intercepts of linear equations...

The concept of constant rate of change is described in this video tutorial. The lesson demonstrates how to determine the rate of change from a table and create a graph. Includes short quiz. [4:02]

Explore the relationship between slope and the constant rate of change for linear functions. Assess learning with a quiz. [3:42]

Compare two lines to determine which one is a constant rate of change.

Explore and define a constant rate of change with linear functions. Complete assessment to check understanding.

Find the rate of change in a linear equation to determine the linear relationship and to determine if the change is constant. Assess learning with a quiz.

This StudyCard stack is a teaching activity that demonstrates that the constant rate of change idea is present in many situations outside the mathematics classroom.

Use a formula to determine the rate of change for a given table of data.

Students learn to associate the slope of a straight line with a constant rate of change. They also learn to calculate the rate of change from data points on a line, using the correct units. Students also learn to read from a linear...

How can you tell if number relationships are proportional? Mathematicians investigate proportional relationships. They compare and contrast functions and graphs to determine the characteristics of proportional relationships, as well as...