Factorising Quadratic Expressions - Using the Area Model

Factorising Quadratic Expressions – Using the Area Model worksheet

Suitable for Grades: Algebra I, IM 1
CCSS: HSA.REI.B.3, HSA.REI.B.4.a
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CCSS Description: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Derive the quadratic formula from this form.
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Factorising Quadratic Expressions – Using the Area Model worksheet description

This worksheet focuses on factorizing quadratic expressions using the area model method, perfect for introducing the factorization of quadratics to learners. The resource provides a visual approach to algebraic manipulation.

Students will work through four sections with 10 quadratic expressions in each section, filling in missing values within area models to break down complex algebraic expressions into their factored form. In Section A, all terms are positive. Section B introduces negative terms and one of the brackets when factored will be negative. Section C consists of expressions that when factorized have negative terms in both. Lastly, Section D is made up of mixture of all expressions.

The area model serves as a powerful visual tool, helping students understand the structural components of quadratic expressions. By guiding learners to complete partially filled models, the worksheet encourages systematic problem-solving and deepens understanding of algebraic factorization techniques.

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