EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Association for Supervision and Curriculum Development (ASCD)
Interpreting Algebraic Expressions
The title of this lesson should be "Algebraic Expressions Four Ways." Not only will your class be translating verbal descriptions of algebraic expressions to symbols, but also working with their geometric interpretation via area as well...
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
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...
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Simplifying Radical Expressions
This website contains a tutorial that teaches you how to multiply radicals that have the same index number, divide radicals that have the same index number, and simplify radical expressions. Example problems are worked through...
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Simplifying Algebraic Expressions
This tutorial offers definitions, examples, and practice problems for looking at various components of terms and for simplifying algebraic expressions.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Complex Rational Expressions
Learn to simplify complex fractions via this tutorial that features various methods for simplifying, example problems with step-by-step solutions, and practice problems, complete with answers and discussions.
University of Saskatchewan (Canada)
University of Saskatchewan: Partial Fraction Decompositions
A short lesson on rational expressions. Includes a definition, examples, and exercises to choose from from introductory, moderate, or advanced.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Simplifying Rational Expressions
Walk through this tutorial to see exactly how rational expressions are simplified. When you're finished, try the practice problems to see how much you've learned.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Mult. & Div. Rational Expressions
Use this site to learn the process needed to multiply and divide rational expressions. When finished, try the practice problems.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Adding & Sub. Rational Expressions
Rational expressions have never been so easy! Use this site to learn how to add and subtract them with ease and confidence. And common denominators? No Problem! Great practice problems are included to see how much you've learned.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Multiplying and Dividing Rational Expressions
Twenty-seven problems present a variety of practice multiplying and dividing rational expressions. 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...
Math Is Fun
Math Is Fun: Rational Expressions
Rational expressions are examined in this mathematics resource. The notes consist of detailed explanations and examples.
Cuemath
Cuemath: Simplifying Rational Expressions
Learn more about rational expressions by understanding how to simplify rational expressions step-by-step along with some solved examples and a few interactive questions to test your understanding.
Washington State University
Washington State University: Polynomial Division
This site contains a brief explanation of how to divide a polynomial by a monomial by factoring.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Long Division
You will learn how to divide one polynomial by another using long division by viewing example problems and step-by-step solutions and completing practice questions.