Part 2 / 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 (understanding that one of the 2 linear terms has to be equal to 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
Once students have come round to quadratic equations generally (at least at GCSE) having 2 solutions, they are ready to solve.
I decided to start by teaching them that if a quadratic is factorised and = 0, then finding the solution is simple (using geometry to build understanding). Why did I start by solving factorised quadratics? because that way, when they learn to factorise, they know where we are going.
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