Handout
Wolfram Research

Wolfram Math World: Function

For Students 9th - 10th Standards
Site offers a definition of a function. This definition may be difficult to grasp if you are not familiar with the mathematical language, however if you carefully read the definition, examples, and go to related links for unfamiliar...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Graphing Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Inverses of Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the domain and range of inverse trigonometric functions by utilizing the reflection principle.
Unit Plan
Texas Education Agency

Texas Gateway: Determining the Domain and Range for Linear Functions

For Students 9th - 10th Standards
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.
Handout
University of Saskatchewan (Canada)

University of Saskatchewan: Graphing Rational Functions

For Students 9th - 10th Standards
Offers a straightforward introduction to graphing rational functions. Includes an example.
Unit Plan
CK-12 Foundation

Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Activity
Paul Dawkins

Paul's Online Notes: Exponential Functions Practice Problems

For Students 9th - 10th Standards
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
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.
Handout
Wolfram Research

Wolfram Math World: Graphs

For Students 9th - 10th
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Parabolas and Inverse Functions

For Teachers 9th - 10th Standards
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Handout
Math Open Reference

Math Open Reference: Range of a Function

For Students 7th - 9th Standards
Learn about Range of Function with this reference guide. Detailed explanations and examples are given.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphing Rational Functions

For Teachers 9th - 10th Standards
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?

For Teachers 9th - 10th Standards
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Using Function Notation Ii

For Teachers 9th - 10th Standards
The purpose of the task is to explicitly identify a common error made by many students in function notation, when they make use of the "identity" f(x + h) = f(x) + f(h). Aligns with F-IF.A.2.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Exponential Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...
Activity
Analyze Math

Analyze Math: Periodic Functions

For Students 9th - 10th Standards
The interactive tutorial examines periodic functions. Learners use the applet to manipulate the shape, period, and shift of periodic functions.
Unit Plan
Khan Academy

Khan Academy: Transforming Functions

For Students 9th - 10th
Practice transforming functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
PPT
Sophia Learning

Sophia: Algebra I: Exponential Functions in the Real World: Lesson 3

For Students 9th - 10th Standards
This lesson will provide real world examples that involve graphing exponential functions. It is 3 of 5 in the series titled "Exponential Functions in the Real World."
Activity
University of Cambridge

University of Cambridge: Maths and Sports: Making a Racket: The Science of Tennis

For Students 10th - 12th
As London is heading for the 2012 Olympics, it's not just athletes who are gearing up for action. Engineers, too, are working hard to produce the cutting-edge sporting equipment that guarantees record performances. If you're a tennis...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Applications of Inverse Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to apply inverse trig functions to solve problems you would see in real-life situations.
Activity
Analyze Math

Analyze Math: Newton's Method to Find Zeros of a Function

For Students 9th - 10th
Students learn about Newton?s method. Newton?s method is an example of how differentiation is used to find zeros of functions and solve equations numerically. The tutorial consists of examples with detailed solutions.
eBook
Math Planet

Math Planet: Algebra 1: Linear Equations in the Coordinate Plane

For Students 9th - 10th Standards
Provides examples and a video lesson that illustrates how to graph a linear equation.
Handout
Math Open Reference

Math Open Reference: Average Value

For Students 9th - 10th Standards
A complete reference guide to the average value. It provides a definition and examples that enhance further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Fundamental Theorem of Calculus

For Students 9th - 10th
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.

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