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Finding Extrema

Finding Extrema. Common Core II – Day 2. Warm Ups. a) Factor to solve the equation x 2 – 7x + 10 = 0. b) Explain what the solutions tell you about the graph. c ) Using what you know about the quadratic function, draw a rough sketch. Finding Extrema Using Zeros Investigation.

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Finding Extrema

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  1. Finding Extrema Common Core II – Day 2

  2. Warm Ups a) Factor to solve the equation x2 – 7x + 10 = 0. b) Explain what the solutions tell you about the graph. c) Using what you know about the quadratic function, draw a rough sketch.

  3. Finding Extrema Using Zeros Investigation • Time Keeper: 15 minutes • Resource Manager: Finding Extrema using Zeros Worksheet (1/member) • Reader: Read problems out loud to group • Spy Monitor: Check in with other groups if you are stuck

  4. Finding Extrema Using Zeros Investigation

  5. Analyze the Data:

  6. Guided Practice Worksheet 9 and 10 We will do some examples as a class and the rest is homework: #9 (part d, f, g)and #10 (a, c, e)

  7. Guided Practice – #9 Find coordinates of x-intercepts, y-intercept, and maximum or minimum points on the graphs of these quadratic functions. f(x) = x (7 – x) f(x) = -x (7 – x) f(x) = (x-3) (x-8) f(x) = -2(x – 3)(x – 8)

  8. Guided Practice – #10 Write rules for quadratic functions with graphs that meet these conditions: • x-intercepts at (-2, 0) and (6, 0) with graph opening upward • x-intercepts at (2, 0) and (6, 0) with minimum point at (4, -8) • x-intercepts at (-2, 0) and (6, 0) with y-intercept at (0, -60)

  9. Extra Practice

  10. Let’s Play some Musical Chairs! • There are 5 stations around the classroom with a quadratic equation • When I say go, you have 30 seconds to take your worksheet and pencil and move to one station • Once everyone is at a station, the music will begin playing and you will need to spend the duration of the song trying to find the important key points • When the music stops, you must stop writing immediately and go to the next station • When we are finished with 5 songs, you will be given the opportunity to finish your graphs with one last song

  11. Homework • Extended Practice Worksheet #9 (part d, f, g) #10 (a, c, e)

  12. Finding ExtremaInvestigation 2 CP 2 – Page 332

  13. Homework # 7 and # 8

  14. Homework

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