LESSON 1: EXPONENTIAL GROWTH
What is exponential growth? How is it different from other functions and graphs we have looked at previously? At its heart, exponential growth is growth, upon growth, upon growth, upon growth, ... You might also know it as compound interest or the "snowball" effect. No matter what you call it, exponential growth is very powerful and very different than other functions we have explored so far this semester. Check out the introduction video below, then grab your Cornell Notes sheet to use as you watch the presentation for lesson 1.
Introduction
SWBAT
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Identify a function's y-intercept and asymptote (Graph & Non-Graph)
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Graph an exponential growth function with a TI-84 calculator or smartphone app.
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Use the compound interest formula to solve real-life situations involving exponential growth.
Absorb
Exponential Growth Presentation
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Use your Cornell Notes to document important information, processes and/or questions you have.
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Notes will be checked and scored for content at the beginning of class on February 8. Make sure to have any questions you have written down for clarification.
Do
Do
Homework: 16-24,27-42( 3),52-54,57,60,63 (pg.469)
Homework: 16-24,27-42( 3),52-54,57,60,63 (pg.469)
Connect
Connect
Would you rather have $1,000,000 or a doubling penny for the month of February? Write an exponential function or make a table of values that gives the doubling penny's value during the month of February. How much is your penny worth on the last day of February? (Remember it is a leap year) Do you want the $1,000,000 or the doubling penny? What about if it wasn't a leap year?
Would you rather have $1,000,000 or a doubling penny for the month of February? Write an exponential function or make a table of values that gives the doubling penny's value during the month of February. How much is your penny worth on the last day of February? (Remember it is a leap year) Do you want the $1,000,000 or the doubling penny? What about if it wasn't a leap year?
Summary
Exponential growth is growth, upon growth, upon growth. It is characterised by functions with variables in the exponent rather than at the base level. Students should be able to identify the shape, y-intercept and asymptote of an exponential growth function with and without a graphing calculator. Finally, students should be able to use the compound interest formula to solve real-life situations involving exponential growth.