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101 Questions
Controlling Colors
Control the computer processing speed with mathematics! Scholars use a computer program to graph color-changing functions. Using complex polynomial functions slows the speed of the program, but simplifying the expression allows the...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
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...
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
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.
Purple Math
Purplemath: Polynomials: Definition and Evaluation
A great lesson on polynomials is found at this Purplemath resource. Provides a clear definition of what a polynomial is, tells how to tell what the different degrees of a polynomial are, and how to simplify polynomials by combining like...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomials
Sixteen problems present a variety of practice working with polynomials. 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" button to check...
University of Regina (Canada)
University of Regina: Math Central: Intelli Gum: A Success Story
Introduce polynomial operations to your middle school students using the highly engaging story of ?IntelliGum?. This one-of-a-kind gum, when chewed regularly, and in appropriate quantities, will make you smarter. As part of this creative...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Degree of a Polynomial
Find a quick, concise explanation of how to find the degree of a polynomial. Examples are given and clearly explained for how to find the degree of both a monomial and polynomial after it has been simplified.
Wyzant
Wyzant: Exponents of Polynomials Worksheet
Twenty practice problems are presented where polynomials (mostly binomials) in parenthesis are raised to number exponents. Each of the questions has a step-by-step solution for the student to see after completing the work on their own....
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Dividing Polynomials
Math Forum offers an example of how to simplify a complex rational expression by factoring.
Oswego City School District
Regents Exam Prep Center: Simplifying (Or Reducing) Fractions
At this site from the Oswego City School District, you can learn how to simplify fraction (rational expression) that contain monomials or higher degree polynomials. Reducing fractions is made easier with help from this page.
Wyzant
Wyzant: Simplifying Using the Foil Method
WyzAnt provides color coded examples for the foil method of factoring.
Math Is Fun
Math Is Fun: Algebra
Through this collection of definitions, lessons, problem-solving steps and strategies, and example questions, you'll learn why completing an algebra problem is a lot like solving a puzzle. After viewing introductory material and basic...
Interactive Mathematics
Interactive Mathematics: Division of Algebraic Expressions
Dividing algebraic expressions is demonstrated with several examples. Methods as simple as using reciprocals are shown, as well as using long division to divide polynomial expressions.
Wyzant
Wyzant: Evaluating Expressions Calculator
Need assistance in evaluating a polynomial expression if you're given the values of all the variables? This "Calculator," from WyzAnt asks you to input the expression and the known values to be substituted in, and then displays the final...
University of Saskatchewan (Canada)
University of Saskatchewan: Square Roots & Other Radicals
This University of Saskatchewan site provides general information about square roots and other forms of radical equations.