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...

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...

How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.

Create polynomials with specific values. The task consists of writing three polynomial functions that evaluate to specific values for any given number. Scholars first find a polynomial that evaluates to one for a given value, then a...

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...

Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.

All polymaths know about polynomials. Scholars look at six problems aligned to the SBAC Claim 1 Target F for high school. They must perform operations on polynomials, including problems where the coefficient is a letter. The presentation...

A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations. 

Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the...

So many different kinds of equations and inequalities! Learners solve equations and inequalities with quadratics and other higher-order polynomials. They then classify the equations based on the number of solutions.

Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...

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.

"Does this work every time?" We've all heard it. Now learners get to explore methods to answer that question themselves. Pupils analyze a mistake that has been made with creating a formula for multiplying binomials. They then create...

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...

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...

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. 

This performance task gives the population model of different types of flies and asks scholars to analyze the two populations. After interpreting the functions individually, participants compare the two populations and find the time...

Enjoy this pre-made instructional activity that practices polynomial and rational inequality problems. The problems are all multiple choice, and answers are written in interval notation. The best part? A separate page with all the...

Root for young mathematicians learning about functions. A set of two problems assesses understanding of polynomial functions and their roots. Scholars select values for a, b, and c, and then create two functions that meet given...

Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...

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...

Practice evaluating polynomial expressions at the same time you find Pythagorean Triples. Look for patterns and find examples when the "formula" does and doesn't work. Finally, verify the formula by proving the identity true.

Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...

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.