Lesson Plan: Slope of a Line through Two Points Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the slope of a line that goes through two given points.
Objectives
Students will be able to
- understand the relationship between the slope of a line and the points that lie on the line,
- identify whether a line has a positive or negative slope from its graph,
- understand that the slope of a line is equal to the change in the -coordinate divided by the change in the -coordinate,
- find the slope of a line when given two points that lie on it,
- understand that the slope of the line connecting two points with the same -coordinate is zero,
- understand that the slope of the line connecting two points with the same -coordinate is undefined,
- find a missing coordinate value for a point that lies on a line when given another point and the slope of the line,
- understand that if a group of points are collinear, then the slope between any two of the points is the same,
- solving real-life application problems.
Prerequisites
Students should already be familiar with
- coordinates,
- linear relations of the form ,
- graphing linear relations of the form using ordered pairs or a table of values,
- the equations of vertical and horizontal lines.
Exclusions
Students will not cover
- the equation of a line (in any form),
- the relationship between the slopes of parallel and perpendicular lines,
- trigonometry.
