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S3H Lesson 5.1 on Smartboard.notebook 1 November 19, 2014 Objectives: Graph an exponential function by plotting key points and by using a calculator Recognize an exponential graph Recognize exponential growth or decay from an equation or situation Given an annual rate of change, find the growth or decay factor Write an exponential function given a real world situation Use a calculator to solve real world exponential equations

S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 1: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Objectives:

­ Graph an exponential function by plotting key points and by using a calculator

­ Recognize an exponential graph 

­ Recognize exponential growth or decay from an equation or situation

­ Given an annual rate of change, find the growth or decay factor

­ Write an exponential function given a real world situation

­ Use a calculator to solve real world exponential equations

Page 2: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Page 3: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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November 19, 2014

Page 4: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

How many points to you really need to graph this type of an equation?

Page 5: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 6: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 7: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Page 8: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Page 9: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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November 19, 2014

Page 10: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Let's look at part C of problem 2 "Got It" again.

Can we come up with an equation for this situation?

Page 11: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 12: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

These next problems are like #22­29 on your assignment:

a)    +30% 

b)     ­20%

c)    +1.5%

d)    ­0.02%

e)   +100%

f)    +300%

Page 13: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 14: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 15: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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c.  How much will be in the account after 50 years?

Page 16: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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How can we use a calculator to do this problem?

Page 17: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

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Page 18: S3H Lesson 5.1 on Smartboard.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_pdf.p… · S3H Lesson 5.1 on Smartboard.notebook Subject: SMART Board Interactive

S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

(Skip Problem 5 "Got It")

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S3H Lesson 5.1 on Smartboard.notebook

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November 19, 2014

Homework:

Section 5.1: problems 9­20, 21­30, & 33