Algebra I: Points on a Line

Objectives

• Students will recognize that the ratio of vertical change to horizontal change is constant between any two distinct points on a line.
• Students will recognize that different lines can have the same or different ratios of vertical change to horizontal change.

Vocabulary

• Coordinates of a point
• Horizontal change
• Quadrants
• Slope of a line
• Vertical change

About the Lesson

This lesson involves developing student understanding of slope of a line. The activity is based on examining the vertical change and horizontal change when moving between two points on a line. As a result, students will:

• Move points and observe the vertical and horizontal distance between the points.
• Determine that the ratio of vertical change to horizontal change remains constant.