PPT-Expanding, Factorising and Solving Quadratic Equations

Grades C to A Hyperlinks Expanding a single bracket Solving quadratics by factorising Factorising quadratic expressions Factoring expressions Multiplying out 2 brackets Quadratic simultaneous equations. Factorising into . single brackets. Grade . 2. Factorise. the following expression.. 4x. + 6. Common Number. Common Letter (s). 2. -. 2. (. 2x. + 3. ). Put the common parts outside the bracket. Factorising into single brackets. Factorising. Dr J Frost (jfrost@tiffin.kingston.sch.uk). Last modified: . 18. th. . February 2014. Objectives: . Be able to factorise a single term out of a bracket.. What does the factor of a number mean?. Obj. : . Revise simplifying and. factorising linear . expressions. a, . expand brackets. .. m, . Factorise using integer factors. .. s, . Factorise using terms as factors. .. Starter. All. Most. Some. 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.. large image datasets. John . Ashburner. Principal Component Analysis. Need to reduce dimensions for data mining. R. educed feature set that explains as much of the data as possible. PCA can be . optimised. Factorising into . single brackets. Grade . 2. Factorise. the following expression.. 4x. + 6. Common Number. Common Letter (s). 2. -. 2. (. 2x. + 3. ). Put the common parts outside the bracket. Factorising into single brackets. Solve:. LINEAR . QUADRATIC . QUADRATIC . Quadratic Equations. Solve:. a) b) . . Learning Log Summary . LT. . 1. . – I can . solve. quadratic equations using factoring or the square root method.. 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 “ . Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. Perfect Square Trinomials. Examples. x. 2. + 6x + 9. x. 2. - 10x + 25. x. 2. + 12x + 36. Creating a Perfect . Square Trinomial. X. 2. . + 14x + ____ . Find the constant term by squaring half . 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 “ . Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots.. ACT. Objectives . F-IF.4: For . a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. .