1. 24 January 2011 Algebra 2 You know what it is……. Green and Yellow You know what it is……. Green and Yellow You know what it is……. Green and Yellow You know what it is……. Green and Yellow

3. Bellringer: Which of the following fractions is between 2/5 and 4/5? 1.1/10 2.3/9 3.6/7 4.7/10 5.9/10

4. Agenda: Bellringer / Homework Check Multiplying Binomials Using Box Method Student Practice Multiplying Binomials Using FOIL Method Student Practice Journal / Reflection Homework

5. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Make a 2x2 square box XEI.405:Multiply 2 Binomials

6. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Write the first binomial across the top x +4 XEI.405:Multiply 2 Binomials

7. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Write the second binomial going down x +4 x -3 XEI.405:Multiply 2 Binomials

8. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply x*x x +4 x x 2 -3 XEI.405:Multiply 2 Binomials

9. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply x*4 x +4 x x 2 4x -3 XEI.405:Multiply 2 Binomials

10. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply -3*x x +4 x x 2 4x -3 -3x XEI.405:Multiply 2 Binomials

11. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply -3*4 x +4 x x 2 4x -3 -3x -12 XEI.405:Multiply 2 Binomials

12. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) List each term inside the box x +4 x x 2 4x -3 -3x -12 x 2 + 4x – 3x - 12 XEI.405:Multiply 2 Binomials

13. Notes: Multiplying Binomials 1/24 Box MethodYou can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Simplify x +4 x x 2 4x -3 -3x -12 x 2 + 4x – 3x – 12 = x 2 + x - 12 XEI.405:Multiply 2 Binomials

14. Multiply the following binomials: (x – 3)(x – 2) 0 of 30 1.x 2 – x – 6 2.x 2 – 5x – 6 3.x 2 – 5x + 6 4.x 2 + 5x + 6 5.x 2 + x + 6

15. Multiply the following binomials: (x + 5)(x – 2) 1.x 2 + 3x – 10 2.x 2 – 7x – 10 3.x 2 – 3x + 10 4.x 2 + 3x + 10 5.x 2 + 7x + 10 0 of 30

16. Notes: Multiplying Binomials 1/24 FOIL Method You can use the FOIL to multiply two binomials. FOIL stands for: First Outer Inner Last XEI.405:Multiply 2 Binomials

17. Notes: Multiplying Binomials 1/24 FOIL Method FirstOuterInnerLast Example 2: (x – 4)(x – 2) -Multiply the First term in each set x 2 XEI.405:Multiply 2 Binomials

18. Notes: Multiplying Binomials 1/24 FOIL Method FirstOuterInnerLast Example 2: (x – 4)(x – 2) -Multiply the Outer term in each set x 2 – 2x XEI.405:Multiply 2 Binomials

19. Notes: Multiplying Binomials 1/24 FOIL Method FirstOuterInnerLast Example 2: (x – 4)(x – 2) -Multiply the Inner term in each set x 2 – 2x – 4x XEI.405:Multiply 2 Binomials

20. Notes: Multiplying Binomials 1/24 FOIL Method FirstOuterInnerLast Example 2: (x – 4)(x – 2) -Multiply the Last term in each set x 2 – 2x – 4x + 8 XEI.405:Multiply 2 Binomials

21. Notes: Multiplying Binomials 1/24 FOIL Method FirstOuterInnerLast Example 2: (x – 4)(x – 2) - Combine like terms x 2 – 2x – 4x + 8 = x 2 – 6x + 8 Final answer: x 2 – 6x + 8 XEI.405:Multiply 2 Binomials

22. What is the product of the First terms? (x + 3)(x + 8) 1.x 2 2.3x 3.24 4.8x

23. What is the product of the Outer terms? (x + 3)(x + 8) 1.x 2 2.3x 3.24 4.8x

24. What is the product of the Inner terms? (x + 3)(x + 8) 1.x 2 2.3x 3.24 4.8x

25. What is the product of the Last terms? (x + 3)(x + 8) 1.x 2 2.3x 3.24 4.8x

27. Journal / Reflection How do you feel about your performance this first semester? How do you feel about the teaching this first semester