1. Graphs of Exponential Functions
L.O.
All pupils recognise functions displaying exponential growth and decay
Most pupils can sketch exponential functions

2. Starter:
Thinking about the graph you sketched last lesson on infectious diseases, what shape does and exponential graph have?

3. Starter:

4. Graphs of Exponential Functions
L.O.
All pupils recognise functions displaying exponential growth and decay
Most pupils can sketch exponential functions

5. sketch exponential functions
Main:
sketch exponential functions
𝒚= 𝟐 𝒙
Table of values
Sketch
What do you notice about the graph?

6. sketch exponential functions
Main:
sketch exponential functions
Table of values
Sketch
What do you notice about the graph?
𝒚= 𝟐 𝒙

7. sketch exponential functions
Main:
sketch exponential functions
Is it ever negative?
Is it ever zero?
Does it have any asymptotes?
𝒚= 𝟐 𝒙

8. sketch exponential functions
Main:
sketch exponential functions
Draw it on the same axis.
How does the graph change?
Why does this happen?
Ext:
*What would 𝒚= 𝟓 𝒙 look like?
*What would 𝒚= 𝟎.𝟓 𝒙 look like?
*What would 𝒚= 𝟐 −𝒙 look like?
𝒚= 𝟑 𝒙

9. Main: 𝒚= 𝟑 𝒙 Ext: *What would 𝒚= 𝟓 𝒙 look like?
sketch exponential functions
Ext:
*What would 𝒚= 𝟓 𝒙 look like?
*What would 𝒚= 𝟎.𝟓 𝒙 look like?
*What would 𝒚= 𝟐 −𝒙 look like?
𝒚= 𝟑 𝒙
The higher the number on the base, the steeper the graph, the lower the number on the base, the flatter the graph.
Negative powers reflect the graph over the y axis

10. Graphs of Exponential Functions
L.O.
All pupils recognise functions displaying exponential growth and decay
Most pupils can sketch exponential functions

11. Research what other natural phenomena follow exponential patterns.
Plenary:
Homework
Research what other natural phenomena follow exponential patterns.
You should find 3-5 examples and write about one page in total.
Additionally, graphs and pictures would be nice.
I will grade you on (5 marks per criteria):
Your understanding of the Mathematics
The links between the real life situation and the function it produces
How and why the graph is the shape it is for each function

12. Graphs of Exponential Functions
L.O.
All pupils recognise functions displaying exponential growth and decay
Most pupils can sketch exponential functions