PPT-Unit 3 Day 5 SWBAT: Solving quadratics by completing the square

Take out HW Packet Quiz from fri SWBAT Solving quadratics by completing the square 8 8 2x2 2 12 2 2 x2 2 6   x2 i   2 2 x 2 i   SWBAT Solving quadratics by completing the square . Get out a clean sheet of paper. Write your name at the top. . This will be turned in. .. Solve each equation by completing the square.. . .  . 4.6 Quadratic Formula. What THREE methods have we used so far to solve quadratics?. Section 3.3 Beginning on page 112. The Big Idea. Completing the square . is a technique we can use to write a quadratic in vertex form.. Completing the square is creating a . Perfect Square Trinomial. Mary has (4x +10) dollars and Ron has (-5x + 20) dollars. How much more money does Mary have than Ron?. The measure of the perimeter of a triangle is (37m+42). It is known that two of the sides of the triangle have measures of (14m +16) and (10m +20). Find the length of the third side. . Objective: Students . will be able . to solve problems where the variable is squared and understand more about the quadric function.. Graph. We talked about last unit. Parabola. When solving a squared problem we are looking for where the graph crosses the x axis.. 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 . Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. In preparation for the Algebra CST. -b . . b. 2. – 4ac. 2ac. √. (x 4)(x-3)=0. (x 1)(x 2). X. 2. – 5x 4. F O I L. Complete. The Square. Multiplying Polynomials. Area Model of Multiplication. Objective: To complete a square for a quadratic equation and solve by completing the square. Steps to complete the square. 1.) You will get an expression that looks like this: . . . AX. ² BX. Mathematics. Mr Richard Sasaki, Room 307. Recall how to solve quadratic equations through factorisation. Learn how to “complete the square” to solve equations for . ..  . Objectives. As we learned last class, to factorise a quadratic equation, we look for two numbers that add together to make the . You have learned three methods for solving equations of the form. When . , you can solve by using the square root property. For example: . If the expression . is factorable, then you can use the Product Property of Zero. Completing the Square with Algebra Tiles. Completing the Square. 2. Algebra tiles can be used to complete the . square. Use . tiles and frame to represent problem. . The expression . should form a . I can find zeros by completing the square. Warm Up. Rewrite the following as perfect squares.. 1. x. 2. 14x 49 . ( _______). 2. 2. x. 2. -2x 1. (________). 2. Our goal. What if you were asked to complete the pattern of a perfect square.. What We Will Learn. Complete the square. Solve by completing the square. Needed Vocab. Completing the square:. adding a constant to an expression to turn into a perfect square trinomial. Ex. 1 Completing the Square. 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