1. Objectives The student will be able to: 1. multiply a monomial and a polynomial. SOL: A.10, A.11 Designed by Skip Tyler, Varina High School

2. AIM: How do we multiply monomials and polynomials? Do Now: Do Now: Simplify the following: 1.4(6 + 5x) 2.-8(2y + 1) 3.(6 – x)9

3. HW Review: Regents Review 9 is due on Tuesday

4. BIG IDEAS: When multiplying monomials and polynomials, you have to remember rules of multiplying exponents: –When multiplying exponents with the same bases, add the exponents!

5. add the exponents! 1) Simplify: 5(7n - 2) Use the distributive property. 5 7n 35n - 10 Review: Review: When multiplying variables, - 5 2

6. 2) Simplify: 6a 2 + 9a 3) Simplify: 6rs(r 2 s - 3) 6rs r 2 s 6r 3 s 2 - 18rs - 6rs 3

7. 4) Simplify: 4t 2 (3t 2 + 2t - 5) 12t 4 5) Simplify: - 4m 3 (-3m - 6n + 4p) 12m 4 + 8t 3 - 20t 2 + 24m 3 n- 16m 3 p

8. 6) Simplify: (27x 2 - 6x + 12) 16x 3 - 28x 2 + 4x Fooled ya, didn’t I?!? Ha! Ha! Here’s the real answer! -9x 3 + 2x 2 - 4x

9. Bonus Round #1: Simplify 4y(3y 2 – 1) 1.7y 2 – 1 2.12y 2 – 1 3.12y 3 – 1 4.12y 3 – 4y

10. Bonus Round #2: Simplify -3x 2 y 3 (y 2 – x 2 + 2xy) 1.-3x 2 y 5 + 3x 4 y 3 – 6x 3 y 4 2.-3x 2 y 6 + 3x 4 y 3 – 6x 2 y 3 3.-3x 2 y 5 + 3x 4 y 3 – 6x 2 y 3 4.3x 2 y 5 – 3x 4 y 3 + 6x 3 y 4

11. Classwork: Complete the classwork in pairs. What you do not finish will be assigned for homework. We will review this assignment during tomorrow’s Do Now. Be prepared to return it to me tomorrow.

12. Summary: What is the process of multiplying a monomial and a polynomial?