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Factorising Using the Area Model worksheet

Suitable for Year groups: 8, 9
GCSE Tier:
Foundation
Targeting grades: 1-3
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Prerequisite knowledge: Simplify and manipulate algebraic expressions to maintain equivalence by taking out common factors.
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Factorising Using the Area Model worksheet description

Using the area model serves as an introduction to factorising two term linear expressions throughout this worksheet.

Students will begin by matching equivalent expressions in section A, using their knowledge of expanding a single bracket.

Section B, gradually introduces pupils to the concept of factorising as they fill gaps in area models over 4 different questions. In question 1, all terms are positive with negatives introduced in question 2. In both these questions the highest common factor is the coefficient of x in the expanded expression. In questions 3 and 4, expressions such as 27x + 45 will be factorised.

To finish, section C poses some problem solving questions that will see learners articulating what's wrong with a factorisation and explaining why expressions cannot be factorised.

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