Curated OER
Sum of Even and Odd
Your algebra learners will make use of structure and manipulate expressions involving function notation using the definition of odd and even functions. They then advance even further to analyze the structure in a system of two equations.
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...
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...
Computer Science Unplugged
The Peruvian Coin Flip–Cryptographic Protocols
A digital flip. Introduce your classes to cryptographic protocols using and, or, and not gates. Groups create a complete circuit to convert a binary number into another one. This type of one-way function allows pupils to...
Curated OER
Sum and Difference angle formulas
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Purple Math
Purplemath: Function Notation: Even and Odd
A lesson on function notation contains a section on even and odd functions. An explanation is given on how to algebraically determine if a function is even or odd, along with example problems.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Determining if a Function Is Even or Odd
Dr. Math responds to a question about determining whether a function is even or odd. The Dr. explains the process and then does one example.
Mathematics Archives
Math Archives: Visual Calculus: Even and Odd Functions
A detailed definition of even and odd functions begins an in-depth look at how these functions are composed and evaluated in the study of math. It goes from from basic algebra through calculus. Interactive LiveMath Notebooks are provided...
Texas Instruments
Texas Instruments: Classifying Even and Odd Functions (Part 1)
In this activity, students are asked to classify functions as even, odd, or neither based on the graph of the function.
Richland Community College
Richland Community College: Graphs of Functions
This site from the Richland Community College provides graphs of Functions offers loose definitions of many terms relative to the graphing of functions.
Interactive Mathematics
Interactive Mathematics: Fourier Series Even & Odd Functions
After identifying even and odd functions, the process for finding the Fourier Series for these types of functions is demonstrated. Detailed examples and graphs are provided.
California State University
Ca State University, San Bernadino: Graphing Techniques
A survey of math graphing techniques includes horizontal and vertical shifts, stretching, lines of symmetry, even and odd functions, and absolute value functions.
Texas Instruments
Texas Instruments: Exploring the Unit Circle
In this activity, students explore the properties of a unit circle and its mapping functions.
Interactive Mathematics
Interactive Mathematics: Half Range Fourier Series
This presentation helps to identify when a function can be represented by only a half range Fourier series. It then shows how to find these series for even and odd functions.
Interactive Mathematics
Interactive Mathematics: Harmonic Analysis
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.