finding extrema

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Finding Extrema Common Core II – Day 2

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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. - PowerPoint PPT Presentation

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Page 1: Finding Extrema

Finding ExtremaCommon Core II – Day 2

Page 2: Finding Extrema

Warm Upsa) 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.

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Time Keeper: 15 minutesResource Manager: Finding Extrema

using Zeros Worksheet (1/member)Reader: Read problems out loud to groupSpy Monitor: Check in with other groups if

you are stuck

Finding Extrema Using Zeros Investigation

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Finding Extrema Using Zeros Investigation

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Analyze the Data:

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Guided PracticeWorksheet 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)

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Guided Practice – #9Find coordinates of x-intercepts, y-intercept, and maximum or minimum points on the graphs of these quadratic functions.

a. f(x) = x (7 – x)

b. f(x) = -x (7 – x)

c. f(x) = (x-3) (x-8)

d. f(x) = -2(x – 3)(x – 8)

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Guided Practice – #10Write rules for quadratic functions with graphs that meet these conditions:

a) x-intercepts at (-2, 0) and (6, 0) with graph opening upward

b) x-intercepts at (2, 0) and (6, 0) with minimum point at (4, -8)

c) x-intercepts at (-2, 0) and (6, 0) with y-intercept at (0, -60)

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Extra Practice

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Let’s Play some Musical Chairs!1. There are 5 stations around the classroom with a

quadratic equation

2. When I say go, you have 30 seconds to take your worksheet and pencil and move to one station

3. 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

4. When the music stops, you must stop writing immediately and go to the next station

5. When we are finished with 5 songs, you will be given the opportunity to finish your graphs with one last song

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HomeworkExtended Practice Worksheet#9 (part d, f, g) #10 (a, c, e)

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Finding ExtremaInvestigation 2

CP 2 – Page 332

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Homework# 7 and # 8

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Homework