Houston Area Calculus Teachers

#### Polynomial Graphing

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...

GeoGebra

#### GeoGebra Graphing Calculator

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

Mathematics Vision Project

#### Module 4: Polynomial Functions

Bridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...

Flipped Math

#### Graphing Functions to Solve Equations

Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...

EngageNY

#### Structure in Graphs of Polynomial Functions

Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...

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.

West Contra Costa Unified School District

#### Using Derivatives to Graph Polynomials

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...

EngageNY

#### Relationships Between Quantities and Reasoning with Equations and Their Graphs

Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

EngageNY

#### Transformations of the Graphs of Logarithmic and Exponential Functions

Transform your instructional activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation,...

Desmos

#### Desmos Graphing Calculator

They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....

Flipped Math

#### Graphing Polynomial Functions

Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...

Curated OER

#### Polynomial Functions

In this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior. The two page worksheet contains sixty problems. Answers are included.

Curated OER

#### Polynomials

In this worksheet, students solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...

Inside Mathematics

#### Graphs (2006)

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a learning exercise that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Mathematics Vision Project

#### Module 3: Polynomial Functions

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.

Flipped Math

#### Unit 2 Review: Polynomial Functions

Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...

EngageNY

#### Graphing Quadratic Functions from Factored Form

How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...

Mt. San Antonio Collage

#### Test 1: Functions and Their Graphs

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...

Mt. San Antonio Collage

#### Graphs of Rational Functions

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.

Flipped Math

#### Sketching Polynomial Functions

Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...

CK-12 Foundation

#### Addition and Subtraction of Polynomials: Sliders

Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...

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 pupils reason abstractly...

Curated OER

#### Polynomials Functions

High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.

Curated OER

#### Graphing Polynomials of Higher Degree

Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...