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.