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Henrico County Public Schools

Factoring Puzzle

For Students 9th - 11th Standards
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.
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...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
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...
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

Zeroes and Factorization of a General Polynomial

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

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
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...
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
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
5280 Math

Multiplication Table Algebra

For Teachers 8th - 12th Standards
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Factoring Quadratic Trinomials

For Students 9th - 10th
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...
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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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
Discovery Education

Discovery Education: Web Math: Using the Quadratic Formula

For Students 9th - 10th Standards
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.
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
Math Is Fun

Math Is Fun: Factoring Quadratics

For Students 9th - 10th Standards
The tutorial examines how to factor quadratics. The resource consists of detailed examples and explanations about the algebra concept.
Activity
Math Notes and Math Tests

Pre Calculus Notes: The "Qf" Method for Factoring Quadratics [Pdf]

For Students 9th - 10th Standards
Learners examine the quadratic formula method for factoring quadratics. Examples with detailed solutions are included.
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
Texas Instruments

Texas Instruments: Factoring and Solving Quadratic Binomials

For Teachers 9th - 10th Standards
This TI-Navigator activity allows students to review the concept of factoring and solving quadratic binomials. Includes a connection to graphical solutions.
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
Other

Interactive Algebra: Factoring Helper

For Students 9th - 10th
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.
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
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.
Activity
Other

Interactive Algebra: Factoring, Lesson 2 1

For Students 9th - 10th
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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