Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
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...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
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,...
Activity
Illustrative Mathematics

Springboard Dive

For Teachers 8th - 12th Standards
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...
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
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...
Activity
Curated OER

Math Games for Skills and Concepts

For Teachers 2nd - 5th
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.
Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
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...
Activity
1
1
Illustrative Mathematics

Computations with Complex Numbers

For Teachers 9th - 12th Standards
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...
Lesson Plan
1
1
Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Solving Equations Using Factoring

For Students 9th - 10th Standards
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"...
Activity
Texas Instruments

Texas Instruments: Quadratic Equations

For Teachers 9th - 10th
Students solve quadratic equations by factoring and finding square roots, as well as by graphing.
Activity
Varsity Tutors

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

For Students 9th - 10th
Twenty-one problems where students practice solving quadratic equations by factoring.
Activity
Other

All Elementary Mathematics: Trigonometric Equations

For Students 9th - 10th
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.
Activity
Cool Math

Coolmath: Factoring Complex Numbers Exercises

For Students 6th - 9th Standards
This Algebra Cruncher generates an endless number of practice problems for factoring the sum of two squares. Each problem has hints and solutions.
Activity
Interactive Mathematics

Interactive Mathematics: Equations Involving Fractions

For Students 9th - 10th
The method of solving equations with rational expressions is demonstrated through the use of word problem. Exercises are provided for extra practice.
Activity
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Solving Polynomial Equations: Factoring

For Students 9th - 10th
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.
Activity
Help Algebra

Help algebra.com: Solving Quadratics by Factoring

For Students 9th - 10th Standards
Tips for factoring quadratics are given and demonstrated in several examples. The examples include quadratics that have both two and three terms.
Activity
Help Algebra

Help algebra.com: Quadratic Equations

For Students 9th - 10th Standards
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...
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
Cool Math

Coolmath: Freaky Things That Can Happen With Quadratics

For Students 6th - 9th
Use this tutorial on to help solve quadratic equations.
Activity
Wyzant

Wyzant: Solve by Factoring Worksheet

For Students 9th - 10th
Learners complete a worksheet on solving equations by factoring. An example problem and answer sheet is included.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Factoring Polynomials Given One Root

For Students 9th - 10th
Contains a few example problems on factoring polynomials with a given root.
Activity
Other

Dans Math: Lessons: Intermediate Algebra

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Prodigious! Quadratics and Free Fall Motion

For Teachers 9th - 10th
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.

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