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Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
Math Games for Skills and Concepts
A 27-page packet full of math games and activities builds on algebra, measurement, geometry, fractional, and graphing skills. Young mathematicians participate in math games collaboratively, promoting teamwork and skills practice.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Illustrative Mathematics
Computations with Complex Numbers
This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Equations Using Factoring
Twenty-eight problems present a variety of problems using factoring to solve equations. 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"...
Texas Instruments
Texas Instruments: Quadratic Equations
Students solve quadratic equations by factoring and finding square roots, as well as by graphing.
Varsity Tutors
Varsity Tutors: Hotmath: Solving Quadratic Equations by Finding Square Roots
Twenty-one problems where students practice solving quadratic equations by factoring.
Other
All Elementary Mathematics: Trigonometric Equations
This site gives a definition for what a trigonometric equation is, gives a listing of the simplest trigonometric equations, and lists seven main methods of solution of trigonometric equations with examples.
Cool Math
Coolmath: Factoring Complex Numbers Exercises
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Interactive Mathematics
Interactive Mathematics: Equations Involving Fractions
The method of solving equations with rational expressions is demonstrated through the use of word problem. Exercises are provided for extra practice.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Solving Polynomial Equations: Factoring
Using this tutorial, you'll learn to write polynomial equations in standard form, to use the zero factor property, and to solve polynomial equations by factoring.
Help Algebra
Help algebra.com: Solving Quadratics by Factoring
Tips for factoring quadratics are given and demonstrated in several examples. The examples include quadratics that have both two and three terms.
Help Algebra
Help algebra.com: Quadratic Equations
This article gives a definition of quadratic equations, then demonstrates how to solve them. Factoring, completing the square and the quadratic formula are the methods described. The examples are accompanied by lists of steps for solving...
Math Medics
S.o.s. Math: Algebra
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...
Cool Math
Coolmath: Freaky Things That Can Happen With Quadratics
Use this tutorial on to help solve quadratic equations.
Wyzant
Wyzant: Solve by Factoring Worksheet
Learners complete a worksheet on solving equations by factoring. An example problem and answer sheet is included.
University of Saskatchewan (Canada)
University of Saskatchewan: Factoring Polynomials Given One Root
Contains a few example problems on factoring polynomials with a given root.
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.
Texas Instruments
Texas Instruments: Prodigious! Quadratics and Free Fall Motion
Uses the movie "October Sky" as an introduction to the study of free fall motion functions. Acts a summation activity to a quadratic unit in Algebra. Solve quadratic equations by graphing, factoring, and the quadratic formula.