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# Day 6 multiplying binomials

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### Day 6 multiplying binomials

1. 1. AIM: Multiplying Binomials Do Now 1
2. 2. 15x5 8x7y4 15m2 ­ 18m ­10x3 + 15x 21a4b5 12x3y ­ 9 xy2 + 6xy ­20c3 + 10c2 = ­20a5b3 + 28a2b2 ­ 4a2b 2
3. 3. Anticipatory Set Find the following area. (x + 3) (x + 2) (x + 3)(x + 2) 2 x x 1 1.) What are the dimensions of the algebra tiles above? 3
4. 4. (x + 3)(x + 2) REMOVED PIECES 2 x x x x x 1 1 1 x 1 1 1 2 2 x x 1 ­1 x x 4
5. 5. (x - 3)(x + 3) REMOVED PIECES 2 x ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 x x x x x x 2 2 x x 1 ­1 x x 5
6. 6. (x - 1)(x - 4) REMOVED PIECES 2 x x x 1 x 1 x 1 x 1 2 2 x x 1 ­1 x x 6
7. 7. (x + 2)(x - 3) REMOVED PIECES 2 x x ­1 ­1 ­1 ­1 ­1 ­1 x x x x 2 2 x x 1 ­1 x x 7
8. 8. Conjecture: Based on the examples we have completed, how would you multiply binomials if you did not use the clips? (We are creating an algebraic method) 8
9. 9. (x + 5)(x + 2) REMOVED PIECES 2 2 x x 1 ­1 x x 9
10. 10. (2x - 1)(x + 2) REMOVED PIECES 2 2 x x 1 ­1 x x 10
11. 11. (x + 2)(x - 4) REMOVED PIECES 2 2 x x 1 ­1 x x 11
12. 12. Rule: Double Distributive Method: Distribute both terms from the first binomail to the second binomial. Simplify by combining like terms. (x + 3)(x - 2) 12
13. 13. Multiply the following binomials. 1.) (x - 6)(3x - 9) 2.) (2x + 4)(2x + 6) 3.) (x - 7)(x + 4) 13
14. 14. BEFORE YOU LEAVE How close were you to the real rule when you created your personal rule based on the work with the algebra tiles? What steps did you not put in your rule? Was there any parts of your rule that were unnecessary? 14
15. 15. Mr. Tjersland's Math 7 Homework: None 15