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Khan Academy
Khan Academy: Solving Quadratics by Completing the Square
Practice some multiple-choice problems solving quadratics by completing the square.
Cool Math
Coolmath: Graphing by Completing the Square How
Explore and understand graphing by completing the square.
Mangahigh
Mangahigh: Algebra: Use the Completed Square
Students learn about the concept of completing the square by exploring a tutorial. They can then test their knowledge by taking a ten question assessment that increases in difficulty as they correctly answer questions.
Illustrative Mathematics
Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square
The purpose of this visualization task is to help provide geometric intuition for the algebraic process called ''completing the square.'' Aligns with HSA-REI.B.4.a.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Complete the Square
Find a quick, concise explanation of how to complete the square. An example is given and explained to illustrate the method.
Khan Academy
Khan Academy: Completing the Square (Intro)
Try these multiple-choice practice problems on completing the square.
Khan Academy
Khan Academy: Completing the Square
Solve quadratic equations of the form ax^2+bx+c by completing the square. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Math Medics
S.o.s. Math: Quadratic Formula: Completing the Square
This tutorial explains the quadratic formula by reviewing its origin from the process of completing the square. Includes examples and a few exercises.
Math Planet
Math Planet: Completing the Square
If you've got a quadratic equation on the form of ax^2 + c = 0 Then you can solve the equation by using the square root of x = square_root(-c/a) or x = -square_root(-c/a)
Help Algebra
Help algebra.com: Completing the Square
The process of completing the square is presented with a detailed description of the process and an example to show the work step by step. An example with a non-integer leading coefficient is also included.
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part Ii
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations using complete the square then use that to derive the quadratic formula.
Wyzant
Wyzant: Solve by Completing the Square
The practice sheet reviews how to solve equations by completing the square. The resource consists of an answer sheet and example problem.
Texas Education Agency
Texas Gateway: Solving Quadratic Equations Using Algebraic Methods
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
Math Is Fun
Math Is Fun: Completing the Square
The learning resource investigates how to complete the square. Students learn about the algebra concept by exploring definitions and examples. A link to practice problems is included.
Wyzant
Wyzant: Completing the Square Calculator
The learning tool is a calculator that solves equations by completing the square. An example and quick-start guide is available.
Math Medics
S.o.s. Math: Quadratic Equations
This lesson shows a step-by-step procedure for solving a quadratic equation by completing the square.
Mangahigh
Mangahigh: Algebra: Use Identities to Solve Problems
Students explore the concept of identities by working through an online tutorial and then attempting a ten question quiz that increases in difficulty as questions are answered correctly.
ClassFlow
Class Flow: Solve by Completing the Square
[Free Registration/Login Required] This flipchart explores the steps for solving quadratics by completing the square.
CK-12 Foundation
Ck 12: Algebra: Vertex Form of a Quadratic Equation
[Free Registration/Login may be required to access all resource tools.] Learn to complete the square in order to write quadratic equations in vertex form.
Khan Academy
Khan Academy: Completing the Square (Intermediate)
Solve quadratic equations of the form x^2+bx+c by completing the square. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Factor Polynomials Using Special Products
[Free Registration/Login may be required to access all resource tools.] This lesson covers factoring perfect square trinomials and the difference of squares.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Quadratic Equations
A detailed tutorial that will guide you through various methods for solving quadratic equations: factoring, square root, completing the square, and quadratic formula. Follow step-by-step examples, view video problem-solving...
Help Algebra
Help algebra.com: Factoring Polynomials
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
CK-12 Foundation
Ck 12: Algebra: Vertex Form of a Quadratic Equation
[Free Registration/Login may be required to access all resource tools.] Learn to complete the square in order to write quadratic equations in vertex form.