PPT-Completing the Square Slideshow 16,

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 . By Celeste . Evaluation. All of these features in this slideshow all have the same colour scheme which is pink with some black in them to make them stand out. The colour of my pyjama shorts is pink with light blue and some black which outlines the designs in the shorts therefore I think that having light pink and black and maybe some blue in my tee shirt design would look the best. The words ‘be classy’ and ‘classy’ also suit the pyjama shorts which I have because they are in cursive writing and my pyjama shorts have fancy swirls and patterns which suit that type of writing in them. The features that most appeal to me in this image slideshow are the black cursive writing words which say ‘classy’ and ‘be classy’. I personally like both of these features because they would suit the pattern on my pyjama shorts and they are simple but also effective and will stand out in my designs. The other feature that appeals to me in this slideshow is the pink bows. I like these pink bows because they can be either big or small in any pyjama design and stand out either way. All of these features appeal to me but these two appeal to me the most and I would like to incorporate them both into my own designs. . 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. . 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 . Mr. Richard Sasaki. Objectives. Understand the meaning of rational numbers. Understand the meaning of surd. Be able to check whether a number is a surd or not. Be able to simplify surds. Rational Numbers. 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. complete the square. If you have an equation in the form h = -2.25x. 2. 4.5x 6.75, where ‘h’ is height, how do you find the maximum height?. 1. st. , factor out -2.25:. 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 Take out: . HW. Packet. Quiz from . fri. . SWBAT: Solving quadratics by completing the square . -8. -8. 2(x-2). 2. = -12. 2. 2. (x-2). 2. = -6.  . x-2 = ±. i.  . +2. +2. x = 2 ± . i.  . SWBAT: Solving quadratics by completing the square .