Polynomials Lesson 2

1. Polynomials Lesson 2 Multiplying Binomials using Algebra tiles and Rectangle Diagrams

2. Todays Objectives • Students will be able to demonstrate an understanding of the multiplication of polynomial expressions, including: • Multiply two polynomials symbolically, and combine like terms in the product • Generalize and explain a strategy for multiplication of polynomials • Express a polynomial as a product of its factors

3. Multiplying Binomials • Today we will look at two different strategies for multiplying binomials: • Algebra Tiles • Rectangle diagrams

4. Multiplying with Algebra Tiles x+3 • Step 1: Draw two dimensions, write polynomials beside them x + 5

5. Multiplying with Algebra Tiles x+3 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent the two polynomials x + 5

6. Multiplying with Algebra Tiles x+3 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent the two polynomials • Step 3: Draw the tiles x + 5

7. Multiplying with Algebra Tiles x+3 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent the two polynomials • Step 3: Draw the tiles • Step 4: Color the tiles x + 5

8. Multiplying with Algebra Tiles x+3 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent the two polynomials • Step 3: Draw the tiles • Step 4: Color the tiles • Step 5: Get the result x + 5

9. Multiplying with Algebra Tiles (You do) x+2 • Step 1: Draw two dimensions, write polynomials beside them 2x-3

10. Multiplying with Algebra Tiles x+2 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent the two polynomials 2x-3

11. Multiplying with Algebra Tiles x+2 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent polynomials • Step 3: Draw the tiles 2x-3

12. Multiplying with Algebra Tiles x+2 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent polynomials • Step 3: Draw the tiles • Step 4: Color the tiles 2x-3

13. Multiplying with Algebra Tiles x+2 • Step 1: Draw two dimensions, write polynomials beside them • Step 2: Represent polynomials • Step 3: Draw the tiles • Step 4: Color the tiles • Step 5: Get the result 2x-3

14. If the numbers are big…

15. Rectangle Diagrams

16. Multiplying with Rectangle Diagrams 12x + 32 23 + 13x

17. Multiplying with Rectangle Diagrams 12x + 32 23 + 13x

18. Multiplying with Rectangle Diagrams 12x + 32 23 + 13x

19. Ascending and Descending Order • Some questions will ask you to write your answer in ascending or descending order. • Ascending order: write each term in order of INCREASING exponent value: • Example)   • Descending order: write each term in order of DECREASING exponent value: • Example)

20. ABCD Quiz • 10 teams of 3, each with a scorekeeper • Each group member gets 4 pieces of paper • A,B,C,D • For each question, teams will get 30 seconds to work out the answer • When I say “SLAP DOWN YOUR ANSWER!”, each team should SLAP your answers down on your desk • Team with the most correct answers get candy • People who volunteer to explain the answer get candy

21. 1) • A) • B) • C) • D) D

22. 2) • A) • B) • C) • D) A

23. 3) • A) • B) • C) • D) C

24. 4) • A) • B) • C) • D) B

25. 5) A • A) • B) • C) • D)

26. Homework • Pg. 166-167 #4-6,8,9,12,18,22 • Pg. 177-178 #5-7,11