A set of activities to help students use area diagrams to multiply two brackets together and factorise quadratic expressions.
The pack contains:
1. Area Match 1
Students are challenged to describe the area of different shapes by multiplying algebraic expressions together. They can then match the expressions at the bottom of the page to the correct diagrams (2 expressions per picture).
2. Area Match 2
This is an extension to the activity above, with more difficult shapes for students to describe the area of. There are also three expressions per diagram, which will force them to look at different ways of describing the area of each shape.
3. Emily’s Mistake
Students must look at how a student has worked out an expression for the area of a shape. She has made multiple mistakes, mainly in her use of brackets. Students should identify these mistakes and then write a correct expression for the area.
4. Missing Dimensions 1
This activity requires students to start thinking backwards: If I know the area, what were the sides lengths that multiplied to make them? Helps lead students into factorizing.
5. Missing Dimensions 2
Further practice at factorizing expressions, focusing on leading students into finding the difference of two squares and factorizing without diagrams.
Common Core: 7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Tags: Factorising, Factorizing, Expanding Brackets, Multiplying Out Brackets, Writing Algebraic Expressions, Simplifying expressions, Area