Lesson Plan: Linear Relations: 𝑎𝑥 + 𝑏𝑦 = 𝑐 Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to identify and graph linear relations between two variables given the relation in the form 𝑎𝑥 + 𝑏𝑦 = 𝑐 and write the ordered pairs that satisfy the given equation.
Objectives
Students will be able to
- form ordered pairs for a linear relationship in the form ,
- complete a table of values for a linear relationship in the form ,
- find the value of a constant in a relation in the form given an ordered pair that satisfies the relation,
- graph relations in the form when ,
- graph relations in the form when ,
- graph relations in the form when and .
Prerequisites
Students should already be familiar with
- performing operations on algebraic expressions,
- evaluating expressions at a given value.
Exclusions
Students will not cover
- relations that are not in the form ,
- finding the slope of a line,
- nonlinear relations.
