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Henrico County Public Schools
Factoring Puzzle
Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.
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...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
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
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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...
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...
5280 Math
Multiplication Table Algebra
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Factoring Quadratic Trinomials
Thirty-nine problems present a variety of problems working with factoring quadratic trinomials. 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...
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.
Texas Instruments
Texas Instruments: Quadratic Equations
Students solve quadratic equations by factoring and finding square roots, as well as by graphing.
Discovery Education
Discovery Education: Web Math: Using the Quadratic Formula
This WebMath site provides interactive problem solvers to understand the quadratic formula and solve quadratic equations by factoring. In addition to providing answers, these 'solvers' show the step-by-step method in which to get there.
Varsity Tutors
Varsity Tutors: Hotmath: Solving Quadratic Equations by Finding Square Roots
Twenty-one problems where students practice solving quadratic equations by factoring.
Math Is Fun
Math Is Fun: Factoring Quadratics
The tutorial examines how to factor quadratics. The resource consists of detailed examples and explanations about the algebra concept.
Math Notes and Math Tests
Pre Calculus Notes: The "Qf" Method for Factoring Quadratics [Pdf]
Learners examine the quadratic formula method for factoring quadratics. Examples with detailed solutions are included.
Cool Math
Coolmath: Freaky Things That Can Happen With Quadratics
Use this tutorial on to help solve quadratic equations.
Texas Instruments
Texas Instruments: Factoring and Solving Quadratic Binomials
This TI-Navigator activity allows students to review the concept of factoring and solving quadratic binomials. Includes a connection to graphical solutions.
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.
Other
Interactive Algebra: Factoring Helper
This interactive site allows you to enter a quadratic expression and work through the steps of factoring. Hints and the answer are available to help with the process.
Help Algebra
Help algebra.com: Factoring Polynomials
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
Other
Interactive Algebra: Factoring, Lesson 2 1
An interactive solver allows you to factor quadratic polynomials. The solver provides hints to help you factor before seeing the answer. Note: These quadratics have a leading coefficient of 1.
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