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Unit Plan
Wyzant

Wyzant: Completing the Square

For Students 9th - 10th
The resource examines the algebra topic of completing the square. Students learn how to complete the square by reading the lesson and test their knowledge with practice problems. The resource includes a completing the square calculator.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Completing the Square

For Students 9th - 10th Standards
Seventeen problems present a variety of practice completing the square. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Problems by Factoring

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations by factoring.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Distance Between a Point and a Plane

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] A review of the three major methods of solving quadratic functions for ''X'' intercepts. Students examine guided notes, review guided practice, watch instructional...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Methods for Solving Quadratic Functions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] A review of the three major methods of solving quadratic functions for ''X'' intercepts.
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Handout
Purple Math

Purplemath: Completing the Square: Solving Quadratic Equations

For Students 9th - 10th Standards
Purplemath gives several examples which clearly show the process of completing the square to find the maximum and minimum solutions to a quadratic equation.
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Handout
Math Is Fun

Math Is Fun: Derivation of Quadratic Formula

For Students 9th - 10th Standards
The learning resource investigates the quadratic formula. Students learn how the formula is derived by completing the square and solving for x.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Completing the Square

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to complete the square in order to solve quadratic equations.
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Unit Plan
Lawrence Hall of Science

The Math Page: Skill in Algebra: Quadratic Equations

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the quadratic equations, including how to solve them by factoring, completing the square, and using the quadratic formula. There are example problems solved, problems for the student to...
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Activity
Purple Math

Purplemath: Completing the Square: Finding the Vertex

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
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Website
Purple Math

Purplemath: Completing the Square: Deriving the Quadratic Formula

For Students 9th - 10th Standards
View examples on completing the square and deriving the quadratic formula. The key to solving by completing the square is "practice, practice, practice". By so doing, the process will become more "automatic", and you'll be much more...
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Activity
Cool Math

Coolmath: Graphing by Completing the Square Intro

For Students 6th - 9th Standards
This algebra lesson introduces how to complete the square in a parabola.
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Activity
Cool Math

Coolmath: Graphing by Completing the Square Freaky Things That Can Happen

For Students 6th - 9th
This algebra lesson shows how to deal with different types of things that can happen when you are completing the square.
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Activity
Cool Math

Coolmath: Completing the Square 2 Exercises

For Students 6th - 9th Standards
This Algebra Cruncher generates an endless number of practice problems for completing the square with solutions.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Vertex Form of a Quadratic Equation

For Students 8th - 9th
[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.
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Unit Plan
Math Planet

Math Planet: Completing the Square

For Students 9th - 10th Standards
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)
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square

For Teachers 9th - 10th
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.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei: Braking Distance

For Teachers 9th - 10th
The purpose of this task is to give an application arising from a real-world situation, determining braking distance, in which a quadratic equation arises. In this scenario, it is natural to use a graphical method to find an approximate...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N cn.c.7 and a rei.b.4.a: Completing the Square

For Teachers 9th - 10th
The goal of this task is to solve quadratic equations with complex roots by completing the square. Aligns with N-CN.C.7 and A-REI.B.4.aI.
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Handout
Purple Math

Purplemath: Graphing Quadratic Functions: Introduction

For Students 9th - 10th Standards
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
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Unit Plan
Khan Academy

Khan Academy: Completing the Square (Intro)

For Students 9th - 10th Standards
Try these multiple-choice practice problems on completing the square.
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Unit Plan
Khan Academy

Khan Academy: Solving Quadratics by Completing the Square

For Students 9th - 10th Standards
Practice some multiple-choice problems solving quadratics by completing the square.
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Unknown Type
Khan Academy

Khan Academy: Completing the Square

For Students 9th - 10th Standards
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.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Vertex Form of a Quadratic Equation

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Write quadratic functions in vertex form and find their vertex and intercepts.