Functions Teacher Resources
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National Education Association
Know and/or Use Function Notation, Including Evaluating Functions for Given Values in Their Domain
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...
Texas Instruments
Graphs of Rational Functions
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...
Curated OER
What is a Rational Function?
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.
Curated OER
How is a Function Defined?
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.
Curated OER
How Do You Figure Out If a Relation is a Function?
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...
Curated OER
How Can You Tell if a Function is Linear or Nonlinear From a Table?
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...
Curated OER
Functions - Intro and Inverses
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...
Curated OER
How Do You Use the Vertical Line Test to Figure Out if a Graph is a Function?
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...
Math Antics
What Are Functions?
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...
Curated OER
How Do You Evaluate an Exponential Function?
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?
EngageNY
Tangent Lines and the Tangent Function
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...
Curated OER
Evaluating a Function for a Variable
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...
University of California
Student Workbook: Algebra and Functions
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...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
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...
EngageNY
Inverse Functions
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...
Mathispower4u
Graph a Piecewise Defined Function (Example 3)
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...
Mathispower4u
Determine a Basic Piecewise Defined Function
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...
Khan Academy
Exponential Growth Functions
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...
Curated OER
Interactivate: Introduction to Functions
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...
Curated OER
Graphs and Functions
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.
EngageNY
Algebra II Module 2: End-of-Module Assessment
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...
EngageNY
Graphing the Tangent Function
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...
EngageNY
The “WhatPower” Function
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...