# Differential calculus: linear graphs

Learning Material  |  Interactive Lesson

Published on 2018 August 13th

Description
Observe the linear distance–time graph of a rocket travelling at a constant velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller the rocket's average velocity is equivalent to its instantaneous velocity. Work out how the gradient of the distance–time graph is related to the average and instantaneous velocities. This learning object is one in a series of ten objects. Some objects in the series are also packaged as combined learning objects
Objective
Students interpret the gradient of a graph as being the rate of change of the function.
Students identify that a linear function produces a straight line graph.
Students determine that the average and instantaneous velocity of an object represented by a linear function will always be the same at any given point on the graph.

#### Curriculum Information

 Education Type K to 12 Grade Level Grade 8, Grade 9, Grade 10 Learning Area Mathematics Content/Topic Patterns and Algebra Patterns and algebra Intended Users Learners, Students Competencies