Education Technology

Slope and Tangent

Published on 11/24/2011

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.