Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson...

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Lesson 55.notebook 1 November 12, 2015

Transcript of Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson...

Page 1: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 2: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 3: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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If a quadratic equation is NOT a perfect square, we can use a method called Completing the Square to rewrite the equation so the trinomial is a perfect 

square that we can factor.

We can use this strategy to create a perfect square trinomial from ANY quadratic equation!

Completing

 the 

Square

Page 4: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 5: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 6: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 7: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 8: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 9: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 10: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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2x2 ­ 7x + 5 = 0

Page 11: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Page 12: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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Completing the Square with imaginary roots:  In the past, we asserted that quadratic functions that did not cross the x‐axis had no real roots.  Now that we have language to talk about imaginary numbers, roots that are not real, we can go on to find all the roots, real and imaginary.

Page 13: Lesson 55.notebook November 12, 2015teachers.oregon.k12.wi.us/rosemeyer/Alg II/5-5 Cont.pdfLesson 55.notebook 2 November 12, 2015. Lesson 55.notebook 3 November 12, 2015 If a quadratic

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