Solving Quadratic Equations by Factorising | I Do, We Do, You Do | Year 9 Maths print-free LESSON

Teach pupils to solve quadratic equations by factorising with a structured I Do, We Do, You Do lesson for Year 9 Maths. This print-free PowerPoint combines explicit teaching, differentiated practice, frequent assessment for learning and targeted work on misconceptions. Pupils learn to rearrange equations to zero, factorise, find every root and check solutions in the original equation.

PRINT-FREE TEACHING
Project the slides and let pupils respond in exercise books or on mini-whiteboards. No worksheet printing is required.

I DO, WE DO, YOU DO
A grouped six-question retrieval starter revisits factorisation, substitution and zero products. Explicit teaching explains why a product of zero means at least one factor is zero. Worked examples show factorised equations, common-factor equations and expanded quadratics. The six-question modelling grid pairs I Do examples with We Do questions and leaves space for live teacher working.

DIFFERENTIATED PRACTICE
The whole-class task includes eight Developing questions, eight Secure questions, five Greater Depth questions and a Super Challenge together on one slide. Pupils progress from reading roots from brackets to factorising equations, rearranging expressions and interpreting repeated roots. Greater Depth includes constructing an equation from given roots, reasoning about parameters and explaining why a solution set is complete. Twenty minimally different practice questions encourage pupils to notice the effect of changing one feature at a time.

ASSESSMENT FOR LEARNING
Twenty individual AFL questions each have an immediately following answer slide. Use these to check understanding before practice and decide whether more modelling is needed. Guided checks, misconception questions and exit checks provide further opportunities to assess reasoning, with answers available for discussion and self-correction.

MISCONCEPTIONS MADE EXPLICIT
The lesson addresses losing the zero root when dividing by the variable, reversing the signs of roots, stopping after one solution and applying the zero-product rule when a product is not zero. Pupils distinguish two distinct roots from one repeated root and use substitution to check proposed answers.

SUPER CHALLENGE
A rectangle context asks pupils to form an area equation, rearrange it, factorise and find all algebraic solutions. They then reject the invalid negative width, state both dimensions and multiply them to confirm the area. A labelled diagram supports the context, and the numbered worked solution follows the question stages.

WHAT IS INCLUDED
A 96-slide editable PowerPoint with answers, three exam-style questions with solutions and mark allocations, and exit checks. Covers factorisable monic quadratic equations, including equations needing rearrangement. Calculators are not required.