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  Step 1: Draw two dimensions, write polynomials beside them x+3 x + 5

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

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

7. Multiplying with Algebra Tiles  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+3 x + 5

8. Multiplying with Algebra Tiles  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+3 x + 5

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

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

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

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

13. Multiplying with Algebra Tiles  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 x+2 2x-3

14. If the numbers are big…

15. Rectangle Diagrams x2x2 x2x2 -x 1 1 1 2x 2 -x -6x3

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

17. Multiplying with Rectangle Diagrams 156x 2 416x 276x736 12x + 32 23+13x

18. Multiplying with Rectangle Diagrams 156x 2 416x 276x736 12x + 32 23+13x

19. Ascending and Descending Order

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. D

22. A

23. C

24. B

25. A

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