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Quick Math: Quadratic Equations

For Students 9th - 10th Standards
Complete step-by-step investigation of quadratic functions, allowing the user to input the function. Each step, from solving f(x) = 0 to graphing and finding extreme points, is covered in depth, via links for each step (requires...
Activity
Analyze Math

Analyze Math: Quadratic Functions: Problems (1)

For Students 9th - 10th Standards
The tutorial demonstrates how to use quadratic functions to solve word problems. Some topics discussed are minimum points, maximum points, and vertex. The activity consists of examples with detailed solutions.
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.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Linear Quadratic Systems

For Students 9th - 10th Standards
Resources to use when planning instruction on linear-quadratic systems. Find lessons on solving systems algebraically and graphically, a practice quiz with solutions, and a worksheet through which students investigate and solve systems.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Applications of Quadratic Equations

For Students 9th - 10th
Detailed math tutorial features notes and examples that review applications involving solving a quadratic equation including distance/rate problems and work rate problems.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Use Square Roots to Solve Quadratic Equations

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Solve quadratic equations involving perfect squares.
eBook
Math Planet

Math Planet: Algebra 2: How to Graph Quadratic Functions

For Students 9th - 10th Standards
Gain an understanding of how to graph quadratic equations by viewing an example and a video lesson.
Unit Plan
CK-12 Foundation

Ck 12: Identifying Function Models: Linear, Exponential, and Quadratic Models

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to distinguish between linear, exponential, and quadratic models.
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Quadratics

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains quadratic functions, including graphing functions and solving equations using factoring. There are example problems solved, problems for the student to attempt, and answers to the...
Handout
University College London

University College London: Math Help Glossary: Keyword: Quadratic

For Students 9th - 10th Standards
A "glossary" definition of quadratic functions, including examples of quadratic and non-quadratic functions, and links to related definitions as well and graphs.
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...
Activity
Other

Dans Math: Lessons: Intermediate Algebra

For Students 9th - 10th Standards
College professor Dan Bach presents a review of algebra concepts, including factoring, quadratic equations, and graphing parabolas. The examples are detailed, but easy to follow. This is a good site for reviewing before tests and quizzes.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Quadratic Inequalities

For Students 9th - 10th
Using this tutorial, you'll learn two methods of solving quadratic inequalities: using a sign graph of factors and using the test-point method. Offers step-by-step written examples, and practice problems for you to complete.
Unit Plan
Khan Academy

Khan Academy: Number of Solutions of Quadratic Equations

For Students 9th - 10th
Analyze quadratic equations in order to determine how many different real number solutions they have. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Purple Math

Purplemath: The Quadratic Formula Explained

For Students 9th - 10th Standards
An excellent discussion on solving quadratic formulas, accompanied by numerous examples.
Handout
Purple Math

Purplemath: Complex Numbers: Introduction

For Students 9th - 10th Standards
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
Lesson Plan
Khan Academy

Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations

For Students 9th - 10th
Lesson 1 of 4 for Passport to Advanced Math. Students will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Parabolas

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that investigate the process for graphing parabolas.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Partial Fractions

For Students 9th - 10th
Detailed math tutorial features notes and examples that take a look at the process of partial fractions and finding the partial fraction decomposition of a rational expression.
Lesson Plan
Alabama Learning Exchange

Alex: "Factoring by Mack"

For Teachers 9th - 10th
This strategy for factoring trinomials will eliminate the trial-and-error method used in most textbooks.The lesson will be a direct teaching lesson. With the teacher lecturing and the students taking notes and then having the students...
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Basic Graphs

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
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Khan Academy

Khan Academy: Equations and Inequalities Word Problems

For Students 9th - 10th Standards
Construct an equation or an inequality that models a given context. Modeling expressions can be quadratic, rational, or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Identifying Functions

For Teachers 9th - 10th Standards
In this task, students are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
Handout
University of St. Andrews (UK)

University of St. Andrews: James Joseph Sylvester

For Students 9th - 10th
This site, which is provided for by the University of St Andrews, gives a biography of James Sylvester, mathematician. Links to other interesting sites are provided as well.

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