Introduction to solving graphically

Part 1 / 4 in a sequence of lessons covering solving quadratic equations by factorising.

Sequence is:

• Part 1: Introduction to solving graphically (to build understanding that some equations have more than 1 solutions)
• Part 2: Solving factorised quadratics (undertstanding that one of the 2 linear product has to be 0 if their product is 0)
• Part 3: Factorising (and solving) monic quadratics using the grid method - when b and c are positive
• Part 4: Factorising (and solving) monic quadratics using the grid method - when b or/and c are negative

This lesson was created to help students understand that some equations have 1 solution, but others can have more than one solution. This was demonstrated visually by introducing students to solving graphically.
The first slides solve linear equations graphically (something students should be able to do algebraically, so the link between the x-intercept and the solution can be made easily) and then extended to quadratic and more complex graphs.
I used this lesson at the very beginning of factorising and solving quadratics.