PPT-Aim : How do we use quadratic equations to solve proportio

Find the roots 1 x 2 64 0 2 8x 2 64x 0 3 x 2 16x 64 0 1 Ensure the quadratic equation is set to zero 2 Factor the quadratic equation GCF perfect square binomial DOTS trinomial. 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. DeltaMath. : A study examines the effectiveness of online homework versus paper-based homework on Algebra 2 students’ test . grades. By: Amy Lee. New York State Standards Addressed. Common Core Standards Addressed. 6.5 . – . Quadratic Equations and Applications. 1. A . _______________________. is an equation that can be written in the form. :. . (. this is called . _______________. ). where . , . , and . are real #’s and . 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 . 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.. 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 . 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. Quadratic Equations and their Applications. Standard 14: Graph and analyze quadratic functions.. Domain and Range. X and Y intercepts. Maximum or Minimum Values. Intervals of increasing and decreasing. Tammy Wallace. Varina High. What is a Quadratic Equation?. A . QUADRATIC EQUATION. is an equation in which the greatest power of any variable is 2. . The standard form of a quadratic equation is . Recall, we went over how to factor quadratics that are trinomials. Example. Factor the expression x. 2. 7x 12. Quadratic Equations. Quadratic Equations. are written in the form ax. 2. . bx. c = 0. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2