Lesson Plan
Curated OER

Exponential Growth versus Linear Growth II

For Teachers 9th - 12th Standards
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Activity
Texas Instruments

Texas Instruments: Mc Dougal Littell: End Behavior of Polynomial Functions

For Teachers 9th - 10th
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Unit Plan
Khan Academy

Khan Academy: End Behavior of Polynomials

For Students 9th - 10th Standards
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Handout
Savvas Learning

Math Captain: End Behavior

For Students 9th - 10th
This site provides an explanation of the end behavior of functions. Covers end behavior as it relates to function models, rules, polynomials, asymptote, functions, and graphs.
Activity
Texas Instruments

Texas Instruments: Explore End Behavior

For Teachers 9th - 10th
Guide your students to the discovery that the end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient by using this activity from Holt, Rinehart, & Winston's Algebra...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Polynomials Using Transformations

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
Handout
Purple Math

Purplemath: Polynomial Graphs: End Behavior

For Students 9th - 10th Standards
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
Unknown Type
Khan Academy

Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time

For Students 9th - 10th Standards
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Activity
Texas Instruments

Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions

For Teachers 9th - 10th
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Running Time

For Teachers 9th - 10th
This task provides an application of polynomials in computing. Students are asked to calculate the running time of algorithms for loading images of different sizes. They then graph the running time polynomials and decide which is more...
Activity
Texas Instruments

Texas Instruments: Polynomials

For Teachers 9th - 10th Standards
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.
Handout
Purple Math

Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun

For Students 9th - 10th Standards
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Activity
Texas Instruments

Texas Instruments: Math Today: Humidity Makes Air Feel Hotter Iii

For Teachers 9th - 10th
Investigate the relationship among humidity, air temperature, and the heat index while learning about modeling data, evaluating functions, and describing the end behavior of a function. Students will use graphing calculator technology to...
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphing Polynomials

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...