1. Composite and Inverse Functions
L.O.
All pupils can confidently work with composite functions
All pupils understand the concept of inverse
All pupils can find inverses of linear functions
Some pupils can find inverses of a variety of functions

2. Solve each of these composite functions questions on your wipeboard
Main 1:
composite functions
Solve each of these composite functions questions on your wipeboard

3. Composite and Inverse Functions
L.O.
All pupils can confidently work with composite functions
All pupils understand the concept of inverse
All pupils can find inverses of linear functions
Some pupils can find inverses of a variety of functions

4. Main 2: What does inverse mean?
inverses
What does inverse mean?

5. Main 2: What is the inverse of… multiplication addition cubing
inverses
What is the inverse of…
multiplication
addition
cubing
square root

6. Composite and Inverse Functions
L.O.
All pupils can confidently work with composite functions
All pupils understand the concept of inverse
All pupils can find inverses of linear functions
Some pupils can find inverses of a variety of functions

7. What are inverse functions?
Main 3:
inverse functions
What are inverse functions?

8. Main 3: An Example: How was it found?
inverse functions
An Example:
Notice the notation
How was it found?

9. More examples on the other board
Main 3:
inverse functions
More examples on the other board

10. Find the inverses of these equations
Main 3:
inverse functions
Find the inverses of these equations

11. 5 mins to experiment by sketching graphs.
Main 3:
inverse functions
What happens to the graph of the original function when it is inversed?
5 mins to experiment by sketching graphs.

12. Main 3:
inverse functions
What happens to the graph of the original function when it is inversed?

13. You should plot them using tables of values.
Main 3:
inverse functions
Check that it is true by drawing three graphs of functions and their inverses.
You should plot them using tables of values.

14. Main 3:
inverse functions
What happens to the domain and the range of the original function when it is inversed?

15. Composite and Inverse Functions
L.O.
All pupils can confidently work with composite functions
All pupils understand the concept of inverse
All pupils can find inverses of linear functions
Some pupils can find inverses of a variety of functions

16. Inverse functions (their graphs and their domain and range)
Plenary:
IWB questions on:
Composite functions
Inverse functions (their graphs and their domain and range)

17. Composite and Inverse Functions
L.O.
All pupils can confidently work with composite functions
All pupils understand the concept of inverse
All pupils can find inverses of linear functions
Some pupils can find inverses of a variety of functions