Another method to solve quadratics Why isn’t the last picture a square? Is this a square? What about this one?This one?

Slides:

Advertisements

Similar presentations

Using Algebra Tiles to Write an Expression as a Product or Sum

Advertisements

1. 36 = (x + 4) 2 2. (x - 3) 2 = Move any numbers (anything without x) over to the right side. 2. Split the b term in half. This number goes in.

Making Math Work Algebra Tiles

10.5 Factoring Trinomials With a Lead Coefficient of 1 to Solve

BINGO! Topic Create Your Game Card You will need a blank piece of paper.

Completing the Square.

1. 2, 4, 6, 8, 10, … 2. 15, 11, 7, 3, -1, … , -7, -2, 3, 8, …

Another method to solve quadratics. Why isn’t the last picture a square? Is this a square? What about this one?This one?

Solving Quadratic Equations by Completing the Square.

9.4 – Solving Quadratic Equations By Completing The Square

SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)

Warm Up – Simplify (in your notes). HW Check – 5.6.

Copyright © 2011 Kristina Fornažar Agić. Look! This column already has numbers 4, 3 and 1. 2 The missing number is 2. Now we’ll fill the blank spot with.

Essential Question: How do you factor a trinomial and how is it used to solve a quadratic equation? Students will write a summary that describes factoring.

Quadratics Solving equations Using “Completing the Square”

Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations Objectives of this Section Solve a Quadratic Equation by Factoring Know How to Complete.

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.

Chapter 10 Section 3 Solving Quadratic Equations by the Quadratic Formula.

Here are 10 problems to help you practice long division. Solve the problems step by step on a piece of paper, and click your mouse after each step to see.

Warm Up  Find the roots. Solving Quadratic Equations by Completing the Square.

Factoring Polynomials by Completing the Square. Perfect Square Trinomials l Examples l x 2 + 6x + 9 l x x + 25 l x x + 36.

BELL WORK  Solve by completing the square. UNIT 6 COMPLETING THE SQUARE Goal: I can complete the square to solve a quadratic expression. (A-SSE.3b)

Objective: Students will solve quadratic equations by completing the square Perfect Square Numbers: What are they? Give Examples.

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

Section 5-5: Factoring Using Special Patterns Goal: Factor Using Special Patterns.

Essential Question: How is the process of completing the square used to solve quadratic equations? Students will write a summary of how they use completing.

Section 7.2 Solving Quadratic Equations by Completing the Square.

Objective: To simplify square roots and radical expressions. Standard 2.0.

Quadratics Factoring quadratics to solve equations.

{ Module 4 Lesson 3 Model tiling with centimeter and inch unit squares as a strategy to measure area.

Factor: 1. 2x 2 – 3x x 2 - 8x x 2 – 10x – 20.

PreCalculus Section 1. 6 Solve quadratic equations by: a. Factoring b

Another method to solve quadratics

Solving Quadratic Equations by Completing the Square

Equations Quadratic in form factorable equations

Sullivan Algebra and Trigonometry: Section 1.2 Quadratic Equations

Solving Quadratic Equations by Completing the Square

Bellwork Solve the equation Using square root:.

Solving Quadratic Equations by the Complete the Square Method

Sullivan Algebra and Trigonometry: Section 1.3

Solving quadratic equations

Solving Quadratic Equations by Completing the Square

Section 4.7 Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

5.6 The Quadratic Formula and the Discriminant

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Using Algebra Tiles for Student Understanding

Quadratics Multiply out (x+16) (x-16) (x+12) (x-12) = ?

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Equations Quadratic in form factorable equations

Factoring Polynomials by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations by Completing the Square

Presentation transcript:

Another method to solve quadratics

Why isn’t the last picture a square? Is this a square? What about this one?This one?

 What would we need to do to make this a square?  Right, we would need to fill in the missing bottom section.

 We can model a quadratic expression like this  with tiles like this... This is the Split the x piece in 2 and put 1/2  here rest here  The constant (4) goes here

 Each group has some squares and rectangles. Practice showing completing the square for the following problems:  Write the problems on a piece of paper and fill in the blanks when you find the number of small squares needed to complete the square.

Page 237 #13-39 odd