1. The Quadratic Formula L.O.
All pupils understand how completing the square works
Some pupils can use completing the square to prove the quadratic formula
All pupils can use the quadratic formula to find roots of equations

2. How would you describe completing the square and how it works?
Starter:
how completing the square works
How would you describe completing the square and how it works?

3. How would you describe completing the square and how it works?
Starter:
how completing the square works
How would you describe completing the square and how it works?
It is making y equal zero (to find the roots) and then some difficult rearranging.

4. The Quadratic Formula L.O.
All pupils understand how completing the square works
Some pupils can use completing the square to prove the quadratic formula
All pupils can use the quadratic formula to find roots of equations

5. This is another method for finding the roots of equations:
Main 1:
use completing the square to prove the quadratic formula
This is another method for finding the roots of equations:
Can you prove it is true?

6. Proof on the other board:
Main 1:
use completing the square to prove the quadratic formula
Proof on the other board:

7. The Quadratic Formula L.O.
All pupils understand how completing the square works
Some pupils can use completing the square to prove the quadratic formula
All pupils can use the quadratic formula to find roots of equations

8. Extension: Can they all be solved? If not, why not?
Main 2:
use the quadratic formula to find roots of equations
Worked Example
Questions to solve
Extension: Can they all be solved? If not, why not?

9. The Quadratic Formula L.O.
All pupils understand how completing the square works
Some pupils can use completing the square to prove the quadratic formula
All pupils can use the quadratic formula to find roots of equations