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Solving Quadratic Equations Leslie K Koller Specialized Methods in Secondary Math October 05, 2012.

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Presentation on theme: "Solving Quadratic Equations Leslie K Koller Specialized Methods in Secondary Math October 05, 2012."— Presentation transcript:

1 Solving Quadratic Equations Leslie K Koller Specialized Methods in Secondary Math October 05, 2012

2 Why Solving Quadratic Equations?

3 Quadratic Equations model so much of every day life experiences…

4 Why Solving Quadratic Equations? Quadratic Equations model so much of every day life experiences… * Design of a bridge, satellite receiver, etc

5 Parabola used in Bridge Design

6 Why Solving Quadratic Equations? Quadratic Equations model so much of every day life experiences… * Design of a bridge, satellite receiver, etc * Maximum and minimum area problems

7 Maximum and Minimum Areas using Quadratic Equations

8 Why Solving Quadratic Equations? Quadratic Equations model so much of every day life experiences… * Design of a bridge, satellite receiver, etc * Maximum and minimum area problems * Business decisions (profit and loss, break even point, buy-sell decisions)

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10 Why Solving Quadratic Equations?

11 There are many different methods for solving Quadratic Equations

12 Why Solving Quadratic Equations? There are many different methods for solving Quadratic Equations * Graphing

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14 Why Solving Quadratic Equations? There are many different methods for solving Quadratic Equations * Graphing * Trial and Error

15 Why Solving Quadratic Equations? There are many different methods for solving Quadratic Equations * Graphing * Trial and Error * Factoring

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17 Why Solving Quadratic Equations? There are many different methods for solving Quadratic Equations * Graphing * Trial and Error * Factoring * Complete the Square

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19 Why Solving Quadratic Equations? There are many different methods for solving Quadratic Equations * Graphing * Trial and Error * Factoring * Complete the Square * Quadratic Formula

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21 Why Solving Quadratic Equations?

22 Students do not understand the concepts involved unless they have a strong understanding of why those concepts work

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