Quadratic Factorisation Without Coefficients Demonstration This resource provides

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Quadratic Factorisation – Without Coefficients – Demonstration This resource provides animated demonstrations of the

Quadratic Factorisation – Without Coefficients – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

Complete the table. Number Pair Sum (add) Product (multiply) 2 and 3 4 and

Complete the table. Number Pair Sum (add) Product (multiply) 2 and 3 4 and 5 4 and 6 5 6 9 13 12 8 14 4 − 1 − 9 14 42 32 15 45 − 12 − 30 48 What makes finding the pair of numbers easy or difficult? How do we get a negative product?

Complete the table. Number Pair Sum (add) Product (multiply) 2 and 3 4 and

Complete the table. Number Pair Sum (add) Product (multiply) 2 and 3 4 and 5 4 and 6 2 and 7 6 and 7 4 and 8 3 and 5 5 and 9 6 and − 2 − 6 and 5 − 4 and − 5 5 9 10 9 13 12 8 14 4 − 1 − 9 6 20 24 14 42 32 15 45 − 12 − 30 48 What makes finding the pair of numbers easy or difficult? How do we get a negative product?

Express the area of this field. We can expand two brackets, we need to

Express the area of this field. We can expand two brackets, we need to be able to do the reverse: factorise.

Express the dimensions of this field. The sum of 2 and 4. The product

Express the dimensions of this field. The sum of 2 and 4. The product of 2 and 4.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +3. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +3. 1 and 3 2) Find the pair with a sum of +4. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +6. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +6. 1 and 6 2 and 3 2) Find the pair with a sum of +5. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +8. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 2) Find the pair with a sum of +6. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +20. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +20. 1 and 20 2 and 10 4 and 5 2) Find the pair with a sum of +9. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +20. 1) List number pairs with a product of +10. 1 and 20 2 and 10 4 and 5 1 and 10 2 and 5 2) Find the pair with a sum of +9. 2) Find the pair with a sum of +7. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +20. 1) List number pairs with a product of +8. 1 and 20 2 and 10 4 and 5 1 and 8 2 and 4 2) Find the pair with a sum of +9. 2) Find the pair with a sum of +6. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +20. 1) List number pairs with a product of +24. 1 and 20 2 and 10 4 and 5 1 and 24 2 and 12 3 and 8 4 and 6 2) Find the pair with a sum of +9. 2) Find the pair with a sum of +10. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +20. 1) List number pairs with a product of +12. 1 and 20 2 and 10 4 and 5 1 and 12 2 and 6 3 and 4 2) Find the pair with a sum of +9. 2) Find the pair with a sum of +13. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 8.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 8. 1 and − 8 − 1 and 8 2 and − 4 − 2 and 4 2) Find the pair with a sum of +2. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10. 1 and − 10 − 1 and 10 2 and − 5 − 2 and 5 2) Find the pair with a sum of +3. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 6.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 6. 1 and − 6 − 1 and 6 2 and − 3 − 2 and 3 2) Find the pair with a sum of +1. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 12.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 12. 1 and − 12 − 1 and 12 2 and − 6 − 2 and 6 − 3 and 4 3 and − 4 2) Find the pair with a sum of − 4. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of − 12. 1) List number pairs with a product of − 15. 1 and − 12 − 1 and 12 2 and − 6 − 2 and 6 − 3 and 4 3 and − 4 2) Find the pair with a sum of − 4. 1 and − 15 − 1 and 15 3 and − 5 − 3 and 5 2) Find the pair with a sum of +2. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of − 12. 1) List number pairs with a product of − 14. 1 and − 12 − 1 and 12 2 and − 6 − 2 and 6 − 3 and 4 3 and − 4 2) Find the pair with a sum of − 4. 1 and − 14 − 1 and 14 2 and − 7 − 2 and 7 2) Find the pair with a sum of +5. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of − 12. 1) List number pairs with a product of − 6. 1 and − 12 − 1 and 12 2 and − 6 − 2 and 6 − 3 and 4 3 and − 4 2) Find the pair with a sum of − 4. 1 and − 6 − 1 and 6 2 and − 3 − 2 and 3 2) Find the pair with a sum of +5. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of − 12. 1) List number pairs with a product of − 35. 1 and − 12 − 1 and 12 2 and − 6 − 2 and 6 − 3 and 4 3 and − 4 2) Find the pair with a sum of − 4. 1 and − 35 − 1 and 35 5 and − 7 − 5 and 7 2) Find the pair with a sum of − 2. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +12. −

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +12. − 1 and − 12 − 2 and − 6 − 3 and − 4 1 and 12 2 and 6 3 and 4 (Both could be negative!) 2) Find the pair with a sum of − 4. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +15. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +15. 1 and 15 3 and 5 − 1 and − 15 − 3 and − 5 2) Find the pair with a sum of − 8. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +30. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +30. 1 and 30 2 and 15 3 and 10 5 and 6 − 1 and − 30 − 2 and − 15 − 3 and − 10 − 5 and − 6 2) Find the pair with a sum of − 11. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +8. 1

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 − 1 and − 8 − 2 and − 4 2) Find the pair with a sum of − 9. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 1) List number pairs with a product of +14. − 1 and − 8 − 2 and − 4 1 and 14 2 and 7 − 1 and − 14 − 2 and − 7 2) Find the pair with a sum of − 9. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 1) List number pairs with a product of +6. − 1 and − 8 − 2 and − 4 1 and 6 2 and 3 − 1 and − 6 − 2 and − 3 2) Find the pair with a sum of − 9. 2) Find the pair with a sum of − 5. We can check by expanding the brackets.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 − 1 and − 8 − 2 and − 4 2) Find the pair with a sum of − 9. 1) List number pairs with a product of +32. We can check by expanding the brackets. 1 and 32 2 and 16 4 and 8 − 1 and − 32 − 2 and − 16 − 4 and − 8 2) Find the pair with a sum of − 12.

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of

Quadratic Factorisation DEMO YOUR TURN Factorise: 1) List number pairs with a product of +8. 1 and 8 2 and 4 1) List number pairs with a product of +12. − 1 and − 8 − 2 and − 4 1 and 12 2 and 6 3 and 4 − 1 and − 12 − 2 and − 6 − 3 and − 4 2) Find the pair with a sum of − 9. 2) Find the pair with a sum of − 8. We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10. 1 and − 10 − 1 and 10 2 and − 5 − 2 and 5 2) Find the pair with a sum of +3. YOUR TURN We can check by expanding the brackets.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10.

Quadratic Factorisation DEMO Factorise: 1) List number pairs with a product of − 10. 1 and − 10 − 1 and 10 2 and − 5 − 2 and 5 2) Find the pair with a sum of +3. YOUR TURN We can check by expanding the brackets.

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk

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