The Quadratic Formula L.O.

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Presentation transcript:

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

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?

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.

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

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?

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

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

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?

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