Unit Plan
Oswego City School District

Regents Exam Prep Center: Completing the Square

For Students 9th - 10th
A lesson, practice exercise, and teacher resource to help you plan classroom instruction on completing the square. Lesson contains steps to completing the square and two step-by-step examples; practice exercise is a five-question quiz...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Completing the Square

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

The Math Page: Topics in Pre Calculus: Completing the Square

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
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.
Interactive
Discovery Education

Discovery Education: Web Math: Complete the Square on a Polynomial

For Students 9th - 10th Standards
This WebMath site allows the student to type in a quadratic and have it solved by the completing the square method.
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.
Lesson Plan
Other

Nearpod: Quadratic Equations: Completing the Square

For Teachers 9th - 10th Standards
For this lesson on completing the square, learners explore the connection between area models and perfect square trinomials. They also learn how to complete the square to transform a quadratic equation into vertex form.
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.
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.
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Complete the Square

For Students 9th - 10th Standards
Find a quick, concise explanation of how to complete the square. An example is given and explained to illustrate the method.
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.
Handout
Math Medics

S.o.s. Math: Quadratic Formula: Completing the Square

For Students 9th - 10th Standards
This tutorial explains the quadratic formula by reviewing its origin from the process of completing the square. Includes examples and a few exercises.
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...
Unit Plan
Mangahigh

Mangahigh: Algebra: Use the Completed Square

For Students 9th - 10th Standards
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.
Handout
Math Medics

S.o.s. Math: Quadratic Equations

For Students 9th - 10th Standards
This lesson shows a step-by-step procedure for solving a quadratic equation by completing the square.
Activity
Math Is Fun

Math Is Fun: Completing the Square

For Students 9th - 10th
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.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Quadratic Equations

For Students 9th - 10th Standards
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...
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.
Unit Plan
BBC

Bbc: Higher Bitesize Maths: Quadratic Theory

For Students 9th - 10th Standards
A tutorial on quadratics presents topics including: factoring and solving quadratics, graphing quadratic functions, using completing the square and the quadratic formula to solve functions, the discriminant and conjugates. Plenty of...
Unknown Type
Wyzant

Wyzant: Solve by Completing the Square

For Students 9th - 10th Standards
The practice sheet reviews how to solve equations by completing the square. The resource consists of an answer sheet and example problem.
Handout
Free Math Help

Free Math Help: Completing the Square in Circle Equations

For Students 9th - 10th Standards
This discussion examines how to complete the square in circle equations. Students learn about the math concept through definitions and examples with detailed solutions.
Handout
Other

Completing the Square to Get a Quadratic Function Into Standard Form

For Students 9th - 10th Standards
This site shows students how to put a quadratic function into standard form by completing the square.
Activity
Wyzant

Wyzant: Completing the Square Calculator

For Students 9th - 10th
The learning tool is a calculator that solves equations by completing the square. An example and quick-start guide is available.