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Lesson Plan: Perpendicular Distance from a Point to a Line on the Coordinate Plane Mathematics • First Year of Secondary School
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the perpendicular distance between a point and a straight line or between two parallel lines on the coordinate plane using the formula.
Objectives
Students will be able to
- recall that the distance from a point to the line is given by the formula
- use the formula to calculate the distance from a point to a line (the line may be given in vector form),
- calculate the unknowns in a coordinate of a point given the equation of a line and its distance from the line,
- use the formula to find the distance between two parallel lines,
- find the possible equations for a line at a specified perpendicular distance from a point,
- find the area of a given polygon on the coordinate plane using the concept of the distance between a point and a line.
Prerequisites
Students should already be familiar with
- Cartesian, vector, and parametric forms of straight lines and how to convert between them,
- how to evaluate a formula for a specified variable.
