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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.
Activity
Texas Instruments

Texas Instruments: Quadratic Functions

For Teachers 9th - 10th
Students can use quadratic functions to solve physical problems. Students can use the y = a(x-h)^2 + k form and the velocity formula (0 = -16t^2 + vt + s).
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Identification of Quadratic Models

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Understanding the equations of parabolas
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.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solutions Using the Discriminant

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Given a quadratic equation, find its discriminant and use the result to determine the nature of the solutions.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solutions Using the Discriminant

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to use the discriminant to solve problems and determine the number of solutions to quadratic equations.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: The Discriminant

For Students 10th - 12th
[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.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Solving Quadratic Equations by Finding Square Roots

For Students 9th - 10th Standards
Thirteen problems present a variety of practice solving quadratic equations by finding square roots. 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...
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...
Handout
University of St. Andrews (UK)

University of St. Andrews: Quadratic Equations History

For Students 9th - 10th
This site from the University of St. Andrews provides an extensive history of quadratic, cubic, and quartic equations including various historical figures and their contributions to modern methods of solving quadratics.
Activity
Other

Cre: Ecuaciones Cuadraticas

For Students 9th - 10th
In Spanish. Clear step by step directions, explanations and example problems of quadratic equations. Explains factorization, the quadratic formula, and completing the square.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Trigonometric Equations Using Factoring

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving trigonometric equations using factoring, square roots, and the quadratic formula.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solutions Using the Discriminant

For Students 8th - 9th
[Free Registration/Login may be required to access all resource tools.] Learn how to use the discriminant to solve problems and determine the number of solutions to quadratic equations.
Activity
Math Notes and Math Tests

Pre Calculus Notes: The "Qf" Method for Factoring Quadratics [Pdf]

For Students 9th - 10th Standards
Learners examine the quadratic formula method for factoring quadratics. Examples with detailed solutions are included.
Activity
Math Medics

S.o.s. Math: The "Cubic" Formula

For Students 9th - 10th
This tutorial supplies a general formula (similar to the quadratic formula) to find the roots of a cubic polynomial.
Handout
CK-12 Foundation

Ck 12: Algebra: Graphing Quadratic Equations Study Guide

For Students 9th - 10th
This comprehensive study guide highlights the main terms and formulas needed to review graphing quadratic equations. Examples are included.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Quadratic Functions and Equations

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Recognize a quadratic function as an equation in two variables with a specific form.
Activity
Math Is Fun

Math Is Fun: Quadratic Equation Solver

For Students 9th - 10th
The tutorial examines how to solve quadratic equations. The resource consists of detailed examples, an interactive quadratic equation solver, and explanations about the algebra concept.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Definition of Quadratic Function

For Students 9th - 10th
Dr. Math briefly defines a quadratic function.
Handout
Purple Math

Purplemath: Solving Quadratic Equations by Factoring

For Students 9th - 10th
Demonstrates how to solve quadratics using factoring (that is/the Zero-Product Property). Provides worked examples/and warnings about common mistakes.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Quadratic Function (Changing Coefficients)

For Students 9th - 10th Standards
The Dr. gives information about a method for deciding how changing the coefficients of a quadratic function affects a graph. The page also leaves some questions for the reader to ponder.
Website
National Council of Teachers of Mathematics

The Math Forum: Quadratic Formulas, Equations, Parabolas

For Students 9th - 10th Standards
Dr. Math here at the Math Forum, in a reply to a student question, helps find the vertex and coordinates of the parabola. The information is somewhat brief, but factual, and worth checking out.
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.

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