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Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
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...
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
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Solving Polynomial Equations: Factoring
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Polynomial Equations and Inequalities
Eighteen problems present a variety of practice solving polynomial equations and inequalities. 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: Looking at Polynomials as Dynamic Mathematical Objects
In this activity, students use the TI InterActive! to construct the expression of a polynomial curve based on its dynamic properties. They explore the behavior of the curve at certain points within its domain. Students also determine the...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Equation Grapher
An interactive simulation that teaches about graphing, polynomials, and curves by adjusting the constants to observe the effect on the shape of the curve. This simulation can either be downloaded or played online and includes handouts,...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Solving Polynomials
Question and Answer forum about solving a polynomial equation. See how this problem was solved correctly.
Texas Instruments
Texas Instruments: The Quest for Roots of Higher Order Equations
Students learn how to approximate the roots of any polynomial equation of any order by first using tables, and then by tracing along the graph to the point where the curve intersects
Texas Instruments
Texas Instruments: Polynomial Functions
In this set of questions, students will find the x-intercepts of a polynomial function, factor a polynomial, and determine the number of solutions of a polynomial equation. Questions are multiple choice and true/false; solutions are...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Oswego City School District
Regents Exam Prep Center: Solving Fractional Equations
Use this site to learn how to eliminate the denominators to make solving these equations easier. Examples contain algebraic fractions with monomials and higher degree polynomials in the denominators.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Equations Using Factoring
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"...
University of North Carolina
S University of North Carolina Wilmington: Olving Equations Algebraically
Site provides tutorial on solving algebraic equations including radical equations, quadratic equations, polynomial equations, fractional equations, absolute value equations.
Help Algebra
Help algebra.com: Examples of Polynomial Equations
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
Purple Math
Purplemath: Solving Polynomial Inequalities
Demonstrates the 'factor table' method for solving polynomial inequalities.
Interactive Mathematics
Interactive Mathematics: Polynomial Functions and Equations
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...
Texas Instruments
Texas Instruments: Factored Polynomials
The students will identify x-intercepts of polynomials and then write their own equations for polynomials.
Texas Instruments
Texas Instruments: Polynomials
These questions about polynomials involve finding the zeros, writing the equation of the polynomial given the zeros, and determining the end behavior. Questions are multiple choice and true/false; solutions are provided.
Texas Instruments
Texas Instruments: Solving Equations
Learn to use the TI-86 to solve many types of equations by following this lesson plan and activity. Included are keystroke instructions and calculator screenprints to guide students.
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