Education Technology

# Activities

• ##### Subject Area

• Maths: Calculus: Fundamental Theorem

9-12

45 Minutes

• ##### Device
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE

## FTC

#### Activity Overview

In this activity, students will build on their comprehension of functions defined by a definite integral, where the independent variable is an upper limit of integration. Students are led to the brink of a discovery of a discovery of the Fundamental Theorem of Calculus.

#### Key Steps

• Students will compare constant and non-constant integrands. First, students will examine a constant integrand.

• Students will notice that there is a constant rate of change, of 1.5, in the graph of f (x) = 1.5. They will record the outputs and create a scatter plot of the ordered pairs. They will see that the graph is a line with a slope of the constant.

• In problem 2, students investigate the behavior of a non-constant integrand. They will see that the function changes at a non-constant rate.