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...
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
CK-12 Foundation

Ck 12: Algebra: The Quadratic Formula: Deriving and Using the Quadratic Formula

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers deriving the quadratic formula and using it to solve any quadratic equation.
Activity
Math Medics

S.o.s. Math: Quadratic Equations Quadratic Formula

For Students 9th - 10th Standards
Here you can find a general overview of the quadratic formula, complete with a full breakdown of how to come up with the quadratic formula with a quadratic equation, as well as am example of using the quadratic formula to solve a...
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.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Quadratic Formula

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers deriving the quadratic formula and using it to solve any quadratic equation.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Quadratic Equations Part Ii

For Students 9th - 10th Standards
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.
Activity
Wolfram Research

Wolfram Math World: Quadratic Equation

For Students 9th - 10th Standards
This MathWorld site shows how to derive the quadratic formula.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf, a Sse Building a General Quadratic Function

For Teachers 9th - 10th
This task is a followup to the one called 'Building an explicit quadratic function.' In this one, students follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to find...
Activity
Help Algebra

Help algebra.com: Quadratic Formula

For Students 9th - 10th Standards
This presentation of the quadratic equation includes a discussion on the discriminant and a derivation of the quadratic formula.
Handout
Purple Math

Purplemath: Completing the Square: Deriving the Vertex Formula

For Students 9th - 10th Standards
This resource describes in steps how to derive the vertex formula.
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
Other

Center for Technology and Teacher Education: Parabola Lesson Plan

For Teachers 9th - 10th
This site is a lesson plan on construction of a parabola using the definition. Geometer's Sketch Pad software is beneficial for the lesson. Through the lesson learners develop gemetric constructions of parabolas, use the distance formula...