Factorising Quadratic Expressions - Using the Area Model (B) WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge:
Factorising quadratic expressions in the form x2 + bx + c and expanding double brackets leading to expressions in the form a x2 + bx + c.
Factorising Quadratic Expressions - Using the Area Model (B) WORKSHEET DESCRIPTION
This worksheet develops students’ skills in factorising quadratic expressions in the form a𝑥^2 + b𝑥 + c using the area model and therefore by inspection.
It begins with highly scaffolded questions where parts of the grid are pre-filled, guiding learners through identifying factor pairs and linking them to the quadratic terms. This step-by-step structure is ideal for those tackling factorisation of expressions a > 1 for the first time, as it makes the process visual and systematic.
As the worksheet progresses, the support gradually reduces, requiring students to fill in more of the model themselves and think more independently. Later questions present more challenging quadratics, including those with negative and larger coefficients, consolidating fluency and problem-solving skills.
It begins with highly scaffolded questions where parts of the grid are pre-filled, guiding learners through identifying factor pairs and linking them to the quadratic terms. This step-by-step structure is ideal for those tackling factorisation of expressions a > 1 for the first time, as it makes the process visual and systematic.
As the worksheet progresses, the support gradually reduces, requiring students to fill in more of the model themselves and think more independently. Later questions present more challenging quadratics, including those with negative and larger coefficients, consolidating fluency and problem-solving skills.
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