Curated OER
Discriminant and Quadratics
In this quadratic equation, students find the discriminant using the formula given and identify how many solutions a quadratic function will have. There are 3 problems with answers and examples.
Curated OER
Lesson #158 Translation and Rotation of Axes
Young scholars practice with the discriminant. In this translation and rotation lesson students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the instructor regarding...
Curated OER
Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: The Discriminant
Thirty-eight problems present a variety of practice working with discriminant. 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...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Oswego City School District
Regents Exam Prep Center: Quadratic Equations, Discriminant, Quadratic Formula
A wealth of resources for teachers planning classroom instruction on quadratic equations, discriminant, and the quadratic formula: six lessons covering various ways to solve equations, complete with definitions and step-by-step solutions...
Integrated Publishing
Integrated Publishing: The Discriminant
A thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.
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...
Other
Sierra College: Conics
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.
Other
Dans Math: Lessons: Intermediate Algebra
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.
Math Planet
Math Planet: Algebra I: Quadratic Equations: The Quadratic Formula
Provides an explanation, examples, and a video lesson all related to the quadratic formula. [2:45]
Other
Algebra.com: Quadratic Equation Solver
An interactive solver for quadratic equations shows solutions using several methods, including graphing and the quadratic formula.
CK-12 Foundation
Ck 12: Algebra: Completing the Square
[Free Registration/Login may be required to access all resource tools.] This lesson covers completing the square when the leading coefficient is not equal to one.
BBC
Bbc: Higher Bitesize Maths: Quadratic Theory
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...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Discriminant
Find a quick, concise explanation of what a discriminant is. Several examples are given and clearly explained.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Problem Solving Using the Discriminant
Twenty-three problems present various aspects of problem solving using the discriminant. To review the basics on this topic, click the "View Lesson" button at the top.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Quadratic Equations
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...
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...
CK-12 Foundation
Ck 12: Algebra: The Discriminant
[Free Registration/Login may be required to access all resource tools.] This lesson uses the discriminant to determine how many real solutions a quadratic equation has.
Integrated Publishing
Integrated Publishing: Irrational Roots
A brief lesson on when irrational roots occur when solving quadratic equations, and how to find them. Contains examples, exercises, and solutions.
CK-12 Foundation
Ck 12: Algebra: Solving Quadratic Equations Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review solving quadratic equations. Examples are included.
Help Algebra
Help algebra.com: Quadratic Formula
This presentation of the quadratic equation includes a discussion on the discriminant and a derivation of the quadratic formula.
Wolfram Research
Wolfram Math World: Discriminant
This MathWorld site offers a definition of the mathematical term discriminant, along with links to more information.
Math Medics
S.o.s. Math: Method of Partial Fractions
This lesson teaches how to dissect complicated fractions into the sum of simple fractions.