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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 8x7y415m2 ­ 18m ­10x3 + 15x 21a4b5 12x3y ­ 9 xy2 + 6xy ­20c3 + 10c2= ­20a5b3 + 28a2b2 ­ 4a2b 2
3. 3. Anticipatory SetFind the following area. (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 ­1x x 4
5. 5. (x - 3)(x + 3) REMOVED PIECES 2 x x x x x x x ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 2 2 x x 1 ­1x 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 ­1x 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 ­1x x 7
8. 8. Conjecture: Based on the examples we havecompleted, how would you multiply binomialsif you did not use the clips? (We arecreating an algebraic method) 8
9. 9. (x + 5)(x + 2) REMOVED PIECES 2 2 x x 1 ­1x x 9
10. 10. (2x - 1)(x + 2) REMOVED PIECES 2 2 x x 1 ­1x x 10
11. 11. (x + 2)(x - 4) REMOVED PIECES 2 2 x x 1 ­1x x 11
12. 12. Rule:Double Distributive Method: Distributeboth terms from the first binomail to thesecond binomial. Simplify by combining liketerms. (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 LEAVEHow close were you to the real rule when you created your personalrule 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. Tjerslands Math 7Homework: None 15
16. 16. AIM: Multiplying Binomials Rule:Double Distributive Method: Distributeboth terms from the first binomail to thesecond binomial. Simplify by combining liketerms. 1.) (x + 3)(x - 2) 2.) (x - 7)(x + 4) 3.) (x - 6)(3x - 9) 16