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Understanding Factoring Trinomials: The Diamond Method in Algebra Class

This educational resource guides students through the process of factoring trinomials using the Diamond Method, a valuable technique in algebra. It outlines key standards for Algebra 1, including solving quadratic equations through factoring. The material includes classwork activities, examples, and guided practice to help students apply basic factoring techniques effectively. With a focus on clarity and student engagement, this resource aims to enhance understanding and skills in manipulating second-degree polynomials.

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Understanding Factoring Trinomials: The Diamond Method in Algebra Class

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  1. DNA 3 Label your paper Copy the notes below Factoring Trinomials using the Diamond Method ac # # b (x + #)(x + #)

  2. Algebra 1 Standard 11.0 • Students apply basic factoring techniques to second degree polynomials • Standard 14.0 • Students solve a quadratic equation by factoring 8-3 Factoring Trinomials:

  3. a b c 8 2 4 (x + 2)(x + 4) 6 Factoring Trinomials

  4. a b c 16 -2 -8 (x – 2)(x – 8) -10 Factoring Trinomials

  5. a b c -15 -3 5 (x – 3)(x + 5) 2 Factoring Trinomials

  6. Label your paper! Name Date Algebra 1 Period Ch. 8-3 Classwork

  7. Classwork Page 438: # 12, 14, & 16 Time Left:

  8. 1 3. 1. 2. 7 -8 -3 -3 Put today’s heading on your classwork paper. DO NOW ACTIVITY - “Multiply to the Top, Add to the bottom” 64 Factor the following: 4. x² + 4x -215. x² - 16x -64 0:00 0:05 0:10 0:15 0:20 0:25 0:30 0:35 0:45 1:05 0:50 0:55 1:00 0:40 1:10 1:15 1:20 1:25 1:30 3:25 7:00 1:45 1:50 1:55 2:00 2:05 2:10 2:15 2:20 2:25 1:35 2:35 2:40 2:45 2:50 2:55 3:00 3:20 3:10 3:15 1:40 3:05 3:35 6:10 3:40 3:45 3:50 3:55 5:10 4:05 4:10 4:15 4:20 4:00 4:30 4:35 4:40 4:45 4:50 4:55 5:00 5:05 4:25 3:30 5:15 5:25 5:30 5:35 2:30 5:45 5:50 5:55 6:00 6:05 5:40 6:15 6:20 6:25 6:30 6:35 6:40 6:45 6:50 6:55 5:20 7:00 timer

  9. Classwork Page 438: # 13, 15, & 17 Time Left: 0:00 0:05 0:10 0:15 0:20 0:25 0:30 0:35 0:40 0:45 0:50 0:55 1:00 5:00 1:05 1:15 1:20 1:25 1:30 1:35 1:40 1:45 1:50 1:55 2:00 2:05 2:10 2:15 2:20 2:25 2:30 2:35 2:40 2:45 2:50 2:55 3:00 3:05 3:10 3:15 3:20 3:25 3:30 3:35 3:40 1:10 3:45 3:55 4:00 4:05 4:10 4:15 4:20 4:25 4:30 4:35 4:40 4:45 4:50 4:55 3:50 5:00 timer

  10. a b c -6 -1 6 (x – 1)(x + 6) = 0 5 x – 1 = 0 x + 6 = 0 x = 1 x = –6

  11. -27 -3 9 c a b 6 (g – 3)(g + 9) = 0 g – 3 = 0 g + 9 = 0 g = 3 g = –9

  12. Classwork Page 438: # 24 – 30 even Time Left: 0:00 0:05 0:10 0:15 0:20 0:25 0:30 0:35 0:40 0:45 0:50 0:55 1:00 1:05 1:10 1:15 1:20 1:25 1:30 1:35 1:40 1:45 1:50 1:55 2:00 2:05 2:10 2:15 10:00 2:20 2:30 2:35 2:40 2:45 2:50 2:55 3:00 3:05 3:10 3:15 3:20 3:25 3:30 3:35 3:40 3:45 3:50 3:55 4:00 4:05 4:10 4:15 4:20 4:25 4:30 4:35 4:40 4:45 4:50 4:55 5:00 5:05 5:10 5:15 5:20 5:25 5:30 5:35 5:40 5:45 5:50 5:55 6:00 6:05 6:10 6:15 6:20 6:25 6:30 6:35 6:40 6:45 6:50 6:55 7:00 7:05 7:10 7:15 7:20 7:25 2:25 7:30 7:40 7:45 7:50 7:55 8:00 8:05 8:10 8:15 8:20 8:25 8:30 8:35 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 9:40 9:45 9:50 9:55 7:35 10:00 timer

  13. Classwork Page 438: # 25 – 31 odd Time Left: 0:00 0:05 0:10 0:15 0:20 0:25 0:30 0:35 0:40 0:45 0:50 0:55 1:00 1:05 1:10 1:15 1:20 1:25 1:30 1:35 1:40 1:45 1:50 1:55 2:00 2:05 2:10 2:15 10:00 2:20 2:30 2:35 2:40 2:45 2:50 2:55 3:00 3:05 3:10 3:15 3:20 3:25 3:30 3:35 3:40 3:45 3:50 3:55 4:00 4:05 4:10 4:15 4:20 4:25 4:30 4:35 4:40 4:45 4:50 4:55 5:00 5:05 5:10 5:15 5:20 5:25 5:30 5:35 5:40 5:45 5:50 5:55 6:00 6:05 6:10 6:15 6:20 6:25 6:30 6:35 6:40 6:45 6:50 6:55 7:00 7:05 7:10 7:15 7:20 7:25 2:25 7:30 7:40 7:45 7:50 7:55 8:00 8:05 8:10 8:15 8:20 8:25 8:30 8:35 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 9:40 9:45 9:50 9:55 7:35 10:00 timer

  14. Homework Page 437: # 1 – 10

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