Factorising Quadratics: Diamond Method, Teacher Guide and Worksheets

Description

Make factorising quadratics click with the diamond method.

Many students can follow the steps to factorise a quadratic but cannot say why they work. The diamond method gives them a clear, visual way to find the right pair of numbers every time. This pack gives teachers a step-by-step guide to teach it, and worksheets so students can practise until it is automatic.

What students will learn

• Factorise quadratic expressions using the diamond method
• Solve quadratic equations by factorisation, using the zero-product principle
• Apply the method to problems that lead to quadratic equations

What’s inside

• Teacher Guide: how to introduce and model the diamond method, with worked examples and teaching notes
• Student Worksheets: graded practice that builds from factorising expressions to solving equations and word problems
• Answer Keys: complete answers so you can mark quickly or let students self-check

Curriculum links

• Caribbean (CXC CSEC Mathematics): Section 7, Algebra (factorising quadratic expressions and solving quadratic equations by factorisation)
• New York State Next Generation Learning Standards, Algebra I: A.SSE.3a (factor a quadratic expression to reveal its zeros), A.REI.4b (solve quadratic equations by factoring)

Details

• Format: digital PDF download, print-ready
• Category: Mathematics, Algebra
• Age and level: ages 14 to 16 (Forms 3 to 5, Grades 8 to 10)

This is a personal, single-classroom use licence. Please do not resell, redistribute or share outside your own classroom.