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S3H Lesson 5.1 on Smartboard filled in.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

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Page 1: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.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 filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 3: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 4: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.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 filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 6: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 7: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 8: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 9: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 10: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.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?

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S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 12: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.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 filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 14: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

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S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

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

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S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

How can we use a calculator to do this problem?

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S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Page 18: S3H Lesson 5.1 on Smartboard filled in.notebooklehimath.weebly.com/uploads/5/0/2/5/5025433/s3h_lesson_5.1_filled… · S3H Lesson 5.1 on Smartboard filled in.notebook Subject: SMART

S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

(Skip Problem 5 "Got It")

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S3H Lesson 5.1 on Smartboard filled in.notebook

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November 19, 2014

Homework:

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