Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

## Slope and Tangent

#### Activity Overview

This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.

#### Objectives

• Students will understand and be able to explain the relationship between the slope of a line and the tangent of the angle between the line and the horizontal.
• Students will be able to apply the relationship between the slope of a line and the tangent of the angle between the line and the horizontal to real life problems.

#### Vocabulary

• tangent
• slope
• angle of elevation

#### About the Lesson

This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.

• Students drag a point to change the y-intercept of a line and drag the line to change the slope. The resulting equation of the line and the tangent of the angle between the line and the horizontal are displayed.
• Students explore the connection between the sine of the angle between a line and the horizontal and the slope of the line.
• Students apply the understanding of the slope of a line and the angle between the line and the horizontal to real life situations.