PPT-GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk)

GCSE Solving Quadratic Equations Dr J Frost jfrosttiffinkingstonschuk Last modified 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations   1 By Factorising 2. Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. Lesson 5.6. Warm-up. Solve:. 2. Simplify:. . Solving Quadratic Equations: Sometimes you can use square roots to solve some quadratic equations. However, you must remember that. so you must have both the positive and negative value for your answer.. KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . These slides can be used as a learning resource for students. . Some answers are broken down into steps for understanding and some are “final answers” that need you to provide your own method for.. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Last modified: 23. rd. August 2013. Starter. In pairs or otherwise, try and match the blue and orange cards..  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . A reminder of the Laws of Indices. Last modified: 12. th. October 2013. Averages. There are different averages: some are more meaningful than others depending on the context.. What is the average number of ears in the world human population?. Last modified: 2. nd. November 2014. -10 -8 -6 -4 -2 2 4 6 8 10. 8. 6. www.drfrostmaths.com. Last modified: . 26. th. . November 2015. Objectives: . Have an appreciation of properties of integers (whole numbers), including finding the Lowest Common Multiple, Highest Common Factor, and using the prime factorisation of numbers for a variety of purposes. Last modified. : 22. nd. August . 2015. Objectives: . (from the specification). RECAP.  . ?. ?. ?. ?. What makes this topic Further Maths-. ey. ?. #1:. Sometimes require multiple factorisation steps (e.g. combo of common factor/difference of two squares). Examples:. . 1). . . x 3 = 15. . 2) p – 5 = 20. 3) 2d = 16. 4). . = 24.  . Multi-Step Equations. Examples—. 5). 2p 15 = 29. 6). 14 – 3n = -10. 7). 27 = -9(y 5). 8). 7a – 3a 2a – a = 16. Year 9 Trigonometry Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd November 2014 Frost Childhood Story x y θ ( a,b ) r I was trying to write a program that would draw an analogue clock. Last modified: 30. th. December 2013. !. A locus is a set of points satisfying a certain condition.. Loci. Thing A. Thing B. Loci involving:. Interpretation. A given distance from point A. Point. Resulting Locus.