Texas Instruments
Texas Instruments: What Goes Up Must Come Down
In this activity, students use the calculator to solve quadratic equations. They use the quadratic formula to determine the vertex and the x-intercepts of the graph of a quadratic function.
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
Integrated Publishing
Integrated Publishing: Graphical Solution
This site explains how graphing can be used to solve (find the roots of) a quadratic equation. Practice problems are included.
CK-12 Foundation
Ck 12: Algebra: Solutions Using the Discriminant
[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.
Oswego City School District
Regents Exam Prep Center: Nature of Roots: Sum and Product
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...
Alabama Learning Exchange
Alex: Zero Product Property
The zero product property allows you to solve a quadratic equation by converting it into two linear equations. This is a common strategy of algebra--to break down a problem into simpler parts, each solved by previously learned methods.
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
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.
Interactive Mathematics
Interactive Mathematics: Solving Non Linear Inequalities
The steps for solving non-linear inequalities are presented along with examples to demonstrate the processes. Examples include equations that contain quadratics, cubics and rational expressions.
Windstream
Ojk's Precalculus Study Page: More Difficult Trig Equations
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.
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Learners will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Alabama Learning Exchange
Alex: Discover the Roots of a Polynomial Function
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...
CK-12 Foundation
Ck 12: Algebra: Square Root Applications
[Free Registration/Login may be required to access all resource tools.] Solve applications using square roots.
Alabama Learning Exchange
Alex: "Factoring by Mack"
This strategy for factoring trinomials will eliminate the trial-and-error method used in most textbooks.The instructional activity will be a direct teaching instructional activity. With the teacher lecturing and the students taking notes...
Help Algebra
Helpalgebra: Geometrical Approach to Completing Square
Using geometrical diagrams, the process of completing the square is demonstrated. Applying this visual approach will help to see why the process works.
Help Algebra
Help algebra.com: Completing the Square
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.
Purple Math
Purplemath: Solving Polynomials: How To
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.
Other
Math Mistakes: Common Algebra Mistakes
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...
CK-12 Foundation
Ck 12: Algebra: Completing the Square
[Free Registration/Login may be required to access all resource tools.] Learn how to complete the square in order to solve quadratic equations.
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.
CK-12 Foundation
Ck 12: Algebra: Factorization Using Difference of Squares
[Free Registration/Login may be required to access all resource tools.] Factor the difference of two squares and perfect square trinomials and solve quadratic polynomial equations by factoring.
Texas Instruments
Texas Instruments: Numb3 Rs: Dial the Phone
Based off of the hit television show NUMB3RS, this lesson gives students some insight into the connection between graph theory and triangular numbers, using telephone networks. Similar to the famous Handshake Problem, students will find...
Wyzant
Wyzant: Calculator Index
These WyzAnt online graphing utilities help you calculate just about anything in algebra, including solving linear and quadratic equations to factoring polynomials. This a great tool for checking homework.
Math Planet
Math Planet: Completing the Square
If you've got a quadratic equation on the form of ax^2 + c = 0 Then you can solve the equation by using the square root of x = square_root(-c/a) or x = -square_root(-c/a)