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Quadratic Equations – Mixed – Demonstration

This resource provides animated demonstrations of the mathematical method for solving quadratic equations. Check animations and delete unnecessary slides for your class.

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Quadratic Equations – Mixed – Demonstration

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  1. Quadratic Equations – Mixed – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

  2. What method would you use to solve this equation? Which method is better? What makes one method better?

  3. What method would you use to solve this equation? Which method is better? What makes one method better? Make it simple! Simplify first! Complete the square. Factorising into two brackets is easiest! Quadratic Formula never fails!

  4. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Inspection = product of number pair = sum of number pair +6, +1 −6, −1 +3, +2 −3, −2

  5. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Inspection = product of number pair = sum of number pair −8, +1 +8,−1 −2, +4 +2,−4

  6. Solving Quadratic Equations: Mixed Methods DEMO YOUR TURN Solve: Solve: Method: Inspection = product of number pair = sum of number pair −18, +1 +18,−1 −2, +9 +9,−2 −3, +6 +3,−6 −8, +1 +8,−1 −2, +4 +2,−4

  7. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Complete the Square Squared bracket with half Simplify Rearrange

  8. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Complete the Square Squared bracket with half Simplify Rearrange

  9. Solving Quadratic Equations: Mixed Methods DEMO YOUR TURN Solve: Solve: Method: Complete the Square Squared bracket with half Simplify Rearrange

  10. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Quadratic Formula

  11. Solving Quadratic Equations: Mixed Methods DEMO Solve: Method: Quadratic Formula

  12. Solving Quadratic Equations: Mixed Methods DEMO YOUR TURN Solve: Solve: Method: Quadratic Formula

  13. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Solving Quadratic Equations Flowchart KEY Is square? • CHECK • Complete the Square • TRY this method • Quadratic Formula Try next method

  14. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  15. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  16. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  17. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  18. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  19. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  20. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  21. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Is square? • Complete the Square • Quadratic Formula

  22. Decide a method & solve each equation a) b) c) d)

  23. Decide a method & solve each equation a) Rearrange b) Inspection c) d)

  24. Decide a method & solve each equation a) Rearrange b) Inspection c) d) Complete the Square Simply & Formula

  25. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Solving Quadratic Equations Flowchart KEY Is square? • CHECK • Complete the Square • TRY this method • Quadratic Formula Try next method

  26. = 0 • = 0 • = 1 • > 1 = 1 = product of number pair = sum of number pair Are & square numbers? , & share a HCF • Factorise • Difference of Two Squares • Inspection • Simplify ÷ by the HCF > 1 Is even? Are or prime? • Rearrange • Complete the Square • Inspection Solving Quadratic Equations Flowchart KEY Is square? • CHECK • Complete the Square • TRY this method • Quadratic Formula Try next method

  27. 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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