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The Number e L.O. All pupils recognise what e is

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Presentation on theme: "The Number e L.O. All pupils recognise what e is"β€” Presentation transcript:

1 The Number e L.O. All pupils recognise what e is
All pupils can confidently work with exponential functions

2 Some of the questions last lesson featured a number, e.
Starter: Some of the questions last lesson featured a number, e. What is this number?

3 The Number e L.O. All pupils recognise what e is
All pupils can confidently work with exponential functions

4 Assuming 1 Euro is invested for 1 year, complete the table below:
Main 1: what e is When you invest money it earns interest using the formula 𝑨=π‘ͺ (𝟏+ 𝒓 𝒏 ) 𝒏𝒕 Where A=final amount, C=Capital, r=rate if interest, n=number of payments per year, t=number of years Assuming 1 Euro is invested for 1 year, complete the table below: Compounding Calculation Final Amount Yearly ( ) 1 2 Half-Yearly ( ) 2 2.25 Quarterly Monthly Weekly Daily Hourly Every Minute Every Second

5 Main 1: what e is So e is a number: ….. It is also known as Euler’s number (he was a very famous Mathematician).

6 Sketch its exponential graph (use a table of values)
Main 1: what e is So e is a number: ….. Sketch its exponential graph (use a table of values)

7 The Number e L.O. All pupils recognise what e is
All pupils can confidently work with exponential functions

8 Why do we use it more than other bases in exponential functions?
Main 2: work with exponential functions Research the number e. Why is it so important? Why do we use it more than other bases in exponential functions?

9 The Number e L.O. All pupils recognise what e is
All pupils can confidently work with exponential functions

10 Share what you have found
Plenary: Share what you have found

11 The Number e L.O. All pupils recognise what e is
All pupils can confidently work with exponential functions


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