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Quadratic Factorisation – Demonstration

This resource provides animated demonstrations of quadratic factorisation without coefficients. Check animations and complete the table.

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Quadratic Factorisation – Demonstration

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

  2. Complete the table. What makes finding the pair of numbers easy or difficult? How do we get a negative product?

  3. Complete the table. What makes finding the pair of numbers easy or difficult? How do we get a negative product?

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

  5. Express the dimensions of this field. Total Area = The product of 2 and 4. The sum of 2 and 4.

  6. 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.

  7. 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.

  8. 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.

  9. 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.

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

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

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

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

  14. 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.

  15. 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.

  16. 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.

  17. 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.

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

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

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

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

  22. 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.

  23. 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.

  24. 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.

  25. 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.

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

  27. Quadratic Factorisation DEMO YOUR TURN Factorise: Factorise: 1) List number pairs with a product of +8. 1) List number pairs with a product of +6. −1 and −8 −2 and −4 −1 and −6 −2 and −3 1 and 8 2 and 4 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.

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

  29. Quadratic Factorisation DEMO YOUR TURN Factorise: Factorise: 1) List number pairs with a product of +8. 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 8 2 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.

  30. Quadratic Factorisation DEMO YOUR TURN Factorise: 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.

  31. Quadratic Factorisation DEMO YOUR TURN Factorise: 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.

  32. 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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