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Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Lesson Plan
Curated OER

Linear Functions: Slope, Graphs, and Models

For Teachers 8th - 9th
This math packet provides an opportunity for learners to graph two linear equations on a coordinate grid and determine the slope and y-intercept of each. They use the equation of five lines to find the slope and y-intercepts, and then...
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Lesson Plan
Curated OER

Types of Functions and Composition of Functions

For Teachers 10th - 12th
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the instructional...
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Lesson Plan
Curated OER

The Algebra of Functions

For Teachers 8th - 9th
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
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Worksheet
Curated OER

Exponential Functions

For Students 9th - 12th
In this algebra activity, learners compute 4 functions for a given value. They graph 4 functions, and write equations for two graphs. Each function has an exponent as the variable.
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Worksheet
Curated OER

Relations and Functions

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine if a relation is a function or not and find the functional value of a domain element.  The two page worksheet contains a combination of nine multiple choice and free response...
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Worksheet
Curated OER

Evaluating Functions

For Students 10th - 12th
For this solving functions worksheet, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
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Worksheet
Curated OER

Intermediate Value Theorem Problems

For Students 12th - Higher Ed
In this intermediate value theorem learning exercise, students apply the intermediate value theorem in three problems and state the intermediate value theorem in another problem.
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Worksheet
Curated OER

Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus activity, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page activity contains six problems.  Answers are not included. 
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Worksheet
Curated OER

Reviewing Functions

For Students Higher Ed
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Lesson Plan
Curated OER

Functions / Domain

For Teachers 11th - Higher Ed
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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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...
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
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Unit Plan
Texas Education Agency

Texas Gateway: Domain and Range: Function Notation

For Students 9th - 10th Standards
Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: The Definition of a Function

For Students 9th - 10th Standards
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
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Lesson Plan
PBS

Wnet: Thirteen: Math in Basketball: Lesson Plan

For Teachers 9th - 10th
In this lesson plan, students will explore ways that mathematics are used in basketball. Students will explore the concept of a function and will learn to use function notation. Students will recognize, describe, and represent quadratic...
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Website
PBS

Pbs Learning Media: Lily Pad Escape

For Students 6th - 8th
In this video from Cyberchase, the CyberSquad uses a magic lily pad to escape from a desert island.
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Activity
Texas Instruments

Texas Instruments: Interval Notation

For Teachers 9th - 10th Standards
This StudyCard stack is a teaching activity on understanding interval notation. It uses functions and function behaviors as the context for needing and using interval notation.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Relations and Functions

For Students 9th - 10th Standards
Students learn about relations and functions. The lesson explores functional notation, domain, range, and one-to-one functions. The tutorial includes class notes, calculator tips, examples, and practice problems with solutions. The...
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Activity
Anne Arundel Community College

Anne Arundel Community College: Math 131: Function Notation

For Students 9th - 10th Standards
The tutorial examines function notation and functional relationships. Students learn about the mathematics concept through examples with detailed solutions.
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Interactive
Mangahigh

Mangahigh: Algebra: Reflect Graphs

For Students 9th - 10th Standards
Mangahigh is a site that students can learn and practice math skills that are correlated to common core math standards. On this site students practice reflecting graphs of various functions using function notation.
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Unknown Type
Khan Academy

Khan Academy: Function Notation Word Problems

For Students 7th - 8th
Interpret expressions with function notation in terms of the context that the function models. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Function Rules Based on Graphs

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Students learn to write a function rule and draw conclusions from the graph of a function. Students examine guided notes, review guided practice, watch instructional...
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Unit Plan
Texas Education Agency

Texas Gateway: Finding Specific Function Values (Verbal/symbolic)

For Students 9th - 10th Standards
Given a verbal and symbolic representations of a function, the student will find specific function values.