Unit Plan
CK-12 Foundation

Ck 12: Algebra: Radical Equations

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to solve equations involving radicals.
Unknown Type
Elias Saab

Math Drills: Roots of Polynomial Functions Quiz

For Students 9th - 10th Standards
An interactive quiz which provides students with a problem involving a polynomial function to be solved. Students input their solution and have the program evaluate it. Hints are available if the student needs them, and explanations are...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Linear Quadratic Systems

For Students 9th - 10th Standards
The mathematics tutorial explores how to solve linear and quadratic systems of equations. The lesson consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes a worksheet that...
Activity
Analyze Math

Analyze Math: Quadratic Functions (1)

For Students 9th - 10th Standards
Students are introduced to quadratic functions. The tutorial explores the equation of a quadratic function, intercepts, graphing, and points of intersection. The activity consists of examples with detailed solutions.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Quadratic Inequalities

For Students 9th - 10th
The mathematics tutorial explores quadratic inequalities. The lesson consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes a worksheet on matching graphs with equations.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Nature of Roots: Sum and Product

For Teachers 9th - 10th
Use these materials for planning classroom instruction on roots of equations: a lesson with a quadratic equation investigation; practice questions with answers that will quiz students' grasp of solving quadratics and roots; and two...
Activity
Integrated Publishing

Integrated Publishing: Maximum and Minimum Points

For Students 9th - 10th Standards
An explanation of how to find maximum (or minimum) point of a quadratic equation, including graphs to enhance understanding. Includes several examples/exercises, with solutions on the page.
Unit Plan
CK-12 Foundation

Ck 12: Find Imaginary Solutions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students are finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra. Students examine guided notes, review...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei the Circle and the Line

For Teachers 9th - 10th Standards
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Lesson Plan
Alabama Learning Exchange

Alex: Discover the Roots of a Polynomial Function

For Teachers 9th - 10th
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will: *Explore 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...
Activity
Purple Math

Purplemath: System of Equations Word Problems

For Students 9th - 10th Standards
This lesson gives numerous word problems with thier solutions for problems with systems of equations. Go to the third problem on the lesson, about half way down the page to find a problem with a quadratic system.
Activity
Integrated Publishing

Internet Publishing: Equal or Double Roots

For Students 9th - 10th
A demonstration of how to use a quadratic function's discriminant to determine if the function contains equal (double) roots, or real, unequal roots, and how to find them.
Whiteboard
ClassFlow

Class Flow: The Discriminant

For Teachers 9th - 10th
[Free Registration/Login Required] Flipchart on an introduction to the discriminant for quadratic equations to determine the number of solutions.
Handout
Windstream

Ojk's Precalculus Study Page: More Difficult Trig Equations

For Students 9th - 10th Standards
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Activity
Purple Math

Purplemath: Finding Quadratics From Their Zeroes

For Students 9th - 10th Standards
Students often have difficulty "working backwards" from the solution of a problem to its original question. Finding a polynomial, given its roots, is an example of a "working backwards" problem. Here are several examples using different...
Activity
Integrated Publishing

Integrated Publishing: Graphical Interpretation of Roots

For Students 9th - 10th Standards
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Activity
Help Algebra

Help algebra.com: Completing the Square

For Students 9th - 10th Standards
The process of completing the square is presented with a detailed description of the process and an example to show the work step by step. An example with a non-integer leading coefficient is also included.
Unit Plan
PBS

Pbs: String Product: Y = X^2

For Students 6th - 8th
Examine how a giant sculpture at the National Museum of Mathematics represents the solutions to the equation y=x^2. This video focuses on the basics of graphing quadratic functions and the relationship between x and y values along the...
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Compound Interest

For Students 9th - 10th
Three problems offer practice with compound interest. 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 each step of your...
Handout
Purple Math

Purplemath: Solving Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Handout
Purple Math

Purplemath: Factoring Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Graphic
Curated OER

Tex2html Wrap Inline575

For Students 9th - 10th
This lesson demonstrates the solution process of various equations such as linear equations, equations containing radicals, equations containing absolute values, quadratic equations, equations involving fractions, polynomial equations,...