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

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?

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

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=𝑪 (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+ 1 1 ) 1 2 Half-Yearly (1+ 1 2 ) 2 2.25 Quarterly Monthly Weekly Daily Hourly Every Minute Every Second

Main 1: what e is So e is a number: 2.7182818284590452353602874713527….. It is also known as Euler’s number (he was a very famous Mathematician).

Sketch its exponential graph (use a table of values) Main 1: what e is So e is a number: 2.7182818284590452353602874713527….. Sketch its exponential graph (use a table of values)

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

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?

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

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

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