Common Core Algebra Unit 13: Factoring Polynomials 3/13/17 Lesson 2: Factoring with Conjugates (Difference of Two Squares) Objective: SWBAT discover patterns when factoring with conjugates and apply patterns to factor the difference of two squares. Do Now: Find each of the following products of conjugate pairs. Turn and Talk: What pattern do you notice in the do now when multiplying conjugate binomials? Check for Understanding: Use the pattern from the do now to quickly rewrite the following products. Multiplying the Difference of Two Squares (DOTS): Group Exploration: We now should be able to reverse this multiplication in order to rewrite expressions that are the difference of perfect squares into products. Write each of the following first in the form a2 b2 and then as equivalent products of conjugate pairs. – Model Example: Check for Understanding: Factor: 4x4 16y2 Factor: 1 64y2 – –
Common Core Algebra Unit 13: Factoring Polynomials 3/13/17 Lesson 2: Factoring with Conjugates (Difference of Two Squares) Objective: SWBAT discover patterns when factoring with conjugates and apply patterns to factor the difference of two squares. Do Now: Find each of the following products of conjugate pairs. Turn and Talk: What pattern do you notice in the do now when multiplying conjugate binomials? Check for Understanding: Use the pattern from the do now to quickly rewrite the following products. Multiplying the Difference of Two Squares (DOTS): Group Exploration: We now should be able to reverse this multiplication in order to rewrite expressions that are the difference of perfect squares into products. Write each of the following first in the form a2 – b2 and then as equivalent products of conjugate pairs. Model Example: Check for Understanding: Factor: 4x4 – 16y2 Factor: 1 – 64y2
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