Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

More than just a worksheet, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...

Take a step back to Algebra II. The first instructional activity in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples...

Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...

Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.

Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they...

Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...

Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given...

Use this complete and very detailed lesson plan to assess your young scholars' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph,...

Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...

Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....

The activity is great but the answer key is fantastic! This practice test focuses on quadratics and polynomials. Learners are expected to be able to simplify and factor expressions and solve equations. The best part is the answer key...

Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...

Groups work with polynomials to devise functions that will model a selling price for property. The teams determine variables to create expressions to represent the cost required to develop land into a housing addition. Classmates then...

How does the graph intersect? Learners investigate the x-intercepts of polynomial functions. They first determine the relationship between the graph's interaction, then figure out the power of the factor.

Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...

Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...

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.

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...

Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 

Perfect as a review guide, this instructional activity provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets...

Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills. 

Take the time out of preparing an algebra review and use this multiple-choice assessment to prep for the big test. Some included topics are factoring, FOILing, inequalities, and linear graphs.