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Factoring Using the Area Model WORKSHEET
Suitable for Grades: 6th Grade, 7th Grade
CCSS: 6.EE.A.3, 7.EE.A.1
CCSS Description: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Factoring Using the Area Model WORKSHEET DESCRIPTION
Using the area model serves as an introduction to factoring two term linear expressions throughout this worksheet.
Students will begin by matching equivalent expressions in section A, using their knowledge of expanding a single parenthesis.
Section B, gradually introduces students to the concept of factoring as they fill in the blanks in the 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 factored.
To finish, section C poses some problem solving questions that will help learners articulate what's wrong with the factorization and explain why expressions cannot be factored.
