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Interactive Algebra 2 Lesson - Multiplying Binomials

Learn how to multiply binomials using the box method and FOIL method in this engaging lesson. Practice problems and reflection questions included. Improve your math skills now!

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Interactive Algebra 2 Lesson - Multiplying Binomials

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

  2. Bellringer:Which of the following fractions is between 2/5 and 4/5? • 1/10 • 3/9 • 6/7 • 7/10 • 9/10 0 of 30

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

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

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

  6. Notes: Multiplying Binomials 1/24 You 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 Box Method XEI.405:Multiply 2 Binomials

  7. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply x*x x +4 x x2 -3 Box Method XEI.405:Multiply 2 Binomials

  8. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply x*4 x +4 x x2 4x -3 Box Method XEI.405:Multiply 2 Binomials

  9. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply -3*x x +4 x x2 4x -3 -3x Box Method XEI.405:Multiply 2 Binomials

  10. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Multiply -3*4 x +4 x x2 4x -3 -3x -12 Box Method XEI.405:Multiply 2 Binomials

  11. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) List each term inside the box x +4 x x2 4x -3 -3x -12 x2 + 4x – 3x - 12 Box Method XEI.405:Multiply 2 Binomials

  12. Notes: Multiplying Binomials 1/24 You can use the box method to multiply two binomials: Example 1: (x + 4)(x – 3) Simplify x +4 x x2 4x -3 -3x -12 x2 + 4x – 3x – 12 = x2 + x - 12 Box Method XEI.405:Multiply 2 Binomials

  13. Multiply the following binomials:(x – 3)(x – 2) • x2 – x – 6 • x2 – 5x – 6 • x2 – 5x + 6 • x2 + 5x + 6 • x2 + x + 6 0 of 30

  14. Multiply the following binomials:(x + 5)(x – 2) • x2+ 3x – 10 • x2 – 7x – 10 • x2 – 3x + 10 • x2 + 3x + 10 • x2 + 7x + 10 0 of 30

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

  16. Notes: Multiplying Binomials 1/24 • First Outer Inner Last • Example 2: (x – 4)(x – 2) • Multiply the First term in each set • x2 FOIL Method XEI.405:Multiply 2 Binomials

  17. Notes: Multiplying Binomials 1/24 • First Outer Inner Last • Example 2: (x – 4)(x – 2) • Multiply the Outer term in each set • x2– 2x FOIL Method XEI.405:Multiply 2 Binomials

  18. Notes: Multiplying Binomials 1/24 • First Outer InnerLast • Example 2: (x – 4)(x – 2) • Multiply the Inner term in each set • x2 – 2x – 4x FOIL Method XEI.405:Multiply 2 Binomials

  19. Notes: Multiplying Binomials 1/24 • First Outer Inner Last • Example 2: (x – 4)(x – 2) • Multiply the Last term in each set • x2 – 2x – 4x + 8 FOIL Method XEI.405:Multiply 2 Binomials

  20. Notes: Multiplying Binomials 1/24 • First Outer Inner Last • Example 2: (x – 4)(x – 2) • Combine like terms • x2– 2x – 4x + 8 = x2 – 6x + 8 • Final answer: x2 – 6x + 8 FOIL Method XEI.405:Multiply 2 Binomials

  21. What is the product of the First terms?(x + 3)(x + 8) • x2 • 3x • 24 • 8x 0 of 30

  22. What is the product of the Outer terms? (x + 3)(x + 8) • x2 • 3x • 24 • 8x 0 of 30

  23. What is the product of the Inner terms? (x + 3)(x + 8) • x2 • 3x • 24 • 8x 0 of 30

  24. What is the product of the Last terms? (x + 3)(x + 8) • x2 • 3x • 24 • 8x 0 of 30

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

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