Instructional Video
National Education Association

Know and/or Use Function Notation, Including Evaluating Functions for Given Values in Their Domain

For Students 8th - 11th Standards
Introduce the basics of evaluating a function using function notation with a video that makes connections between evaluating a function and substituting into an expression. The short presentation works through three examples of...
Lesson Plan
Texas Instruments

Graphs of Rational Functions

For Teachers 9th - 12th Standards
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
Instructional Video3:23
Curated OER

What is a Rational Function?

For Teachers 6th - 12th
A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.
Instructional Video3:04
Curated OER

How is a Function Defined?

For Teachers 6th - 12th
A function means that every element of the domain is paired with exactly one element in the range. The teacher illustrates this by using a table for the given set of numbers.
Instructional Video1:49
Curated OER

How Do You Figure Out If a Relation is a Function?

For Teachers 6th - 11th
If a relation is to be considered a function then the values in the domain can only appear once in the table. It does not matter how many times a value appears in the range. Set up a table using the given values to check and see if the...
Instructional Video5:38
Curated OER

How Can You Tell if a Function is Linear or Nonlinear From a Table?

For Teachers 6th - 9th
Is it possible to tell if a table of values represents a linear function or a nonlinear function? One way is to graph the ordered pairs to see if it makes a straight line. But, take a look at the rate of change in the table. If the rate...
Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Instructional Video1:34
Curated OER

What is Function Notation?

For Teachers 6th - 12th
A simple definition of f(x). Function notation.
Instructional Video2:32
Curated OER

How Do You Use the Vertical Line Test to Figure Out if a Graph is a Function?

For Teachers 6th - 12th
How does the vertical line test help you decide if the graph of an equation is a function? The instructor draws a graph and then draws the line of the equation. She demonstrates how to use the vertical line test to determine if the graph...
Instructional Video11:34
Math Antics

What Are Functions?

For Students 6th - 9th Standards
Setup the idea of functions for the class. Using sets, the presentation introduces the concept of a function. The initial example uses a general function but then moves on to equations as functions. The video provides an example of an...
Instructional Video6:54
1
1
Curated OER

How Do You Evaluate an Exponential Function?

For Teachers 6th - 12th
Set up a table to keep track of your values as you evaluate an exponential function. Select some values for the table to plug in to the given exponential expression. Then evaluate the expression. Do you see a pattern?
Lesson Plan
EngageNY

Tangent Lines and the Tangent Function

For Teachers 11th - 12th Standards
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
Instructional Video1:44
Curated OER

Evaluating a Function for a Variable

For Teachers 9th - 11th
This video tutorial does not include narration, but great math music. It describes how to evaluate a function for a variable through example, and procedure. This would be a great clip to assign as homework for learners just beginning to...
Handout
University of California

Student Workbook: Algebra and Functions

For Students 6th - 10th Standards
A smorgasbord of functions, this packet has the basics required for your learners to be successful in the land of early algebra. The packet includes solving equations, graphing, evaluating, simplifying and basically everything else...
Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Lesson Plan
EngageNY

Inverse Functions

For Teachers 11th - 12th Standards
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding of...
Instructional Video4:34
Mathispower4u

Graph a Piecewise Defined Function (Example 3)

For Students 8th - 11th Standards
This time, try graphing three segments. Another Mathispower4u Algebra I Video provides an additional example on graphing a piecewise function. Pupils observe how to graph a function that is made from two constant functions and one linear...
Instructional Video2:33
Mathispower4u

Determine a Basic Piecewise Defined Function

For Students 8th - 11th Standards
Not all functions have the same equation throughout. Learners see a word problem that requires more than one equation to model the situation. The video from the Mathispower4u Algebra 1 series introduces the concept of piecewise defined...
Instructional Video7:41
Khan Academy

Exponential Growth Functions

For Students 7th - 11th
Sal solves several problems involving exponential growth functions for two reasons. First, he wants to familiarize viewers with the process, especially if they find problems with exponents challenging or daunting. Second, Sal wants to...
Lesson Plan
Curated OER

Interactivate: Introduction to Functions

For Teachers 7th - 9th
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
Lesson Plan
Curated OER

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Assessment
EngageNY

Algebra II Module 2: End-of-Module Assessment

For Teachers 10th - 12th Standards
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...
Lesson Plan
EngageNY

Graphing the Tangent Function

For Students 10th - 12th Standards
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Lesson Plan
EngageNY

The “WhatPower” Function

For Teachers 9th - 12th Standards
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...