Handout
Purple Math

Purplemath: Functions Versus Relations

For Students 9th - 10th Standards
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Your Father

For Teachers 9th - 10th Standards
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
eBook
McGraw Hill

Glencoe: Exponential Functions [Pdf]

For Students 9th - 10th Standards
Students are given a real world problem to use to explore exponential functions. Students can also complete the given practice problems after reading the examples.
Graphic
Windstream

Ojk's Precalculus Study Page: Functions

For Students 9th - 10th Standards
An introduction to the basic terminology of functions, including how to use the vertical line test on the graph of a relation as a means of testing whether or not it is a function.
Handout
Richland Community College

Richland Community College: Exponential Functions and Their Graphs

For Students 9th - 10th Standards
The site explains exponential functions and characteristics of their graphs.
Handout
Oregon State University

Calculus Quest: Questions on Exponential Functions

For Students 9th - 10th Standards
A set of exercises, complete with solutions, covering the basics of exponential functions, from the laws of exponents to exponential growth and decay.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra: Introduction to Functions

For Students 9th - 10th Standards
This introductory tutorial on functions offers important definitions, examples of functions, and practice exercises for you to complete and check.
Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Piece Wise Function Definitions

For Students 9th - 10th
Northeast Parallel Architecture Center of Syracuse University provides a quick overview of piece-wise functions, with a concentration on examples.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Composition of Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Input Output Tables for Function Rules

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Evaluate a function rule by finding outputs for a given input
Whiteboard
ClassFlow

Class Flow: Functions and Their Graphs

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
Lesson Plan
TeachEngineering

Teach Engineering: Coordinates and the Cartesian Plane

For Teachers 7th - 9th Standards
A brief refresher on the Cartesian plane includes how points are written in (x,y) format and oriented to the axes, and which directions are positive and negative. Then students learn about what it means for a relation to be a function...
Unit Plan
Texas Education Agency

Texas Gateway: Rational Functions: Predicting the Effects of Parameter Changes

For Students 9th - 10th
Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Unit Plan
Cuemath

Cuemath: Reciprocal Function

For Students 9th - 10th Standards
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
Unit Plan
Cuemath

Cuemath: Polynomial Functions

For Students 9th - 10th Standards
A comprehensive guide for learning all about polynomial functions with definitions, the highest degree of the polynomial, graphing polynomial functions, range and domain of polynomial functions, solved examples, and practice questions.
Professional Doc
PBS

Pbs: Academic Vocabulary in the Common Core: Middle School English Language Arts

For Teachers 6th - 8th Standards
This video [14:33] shows a demonstration of academic vocabulary instruction through the context of a complex work, a poem. The teacher demonstrates how to access the literal meaning of new vocabulary and then infer the deeper meaning....
Unit Plan
Cuemath

Cuemath: Cosine Function

For Students 9th - 10th Standards
Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.
Unit Plan
Cuemath

Cuemath: Sine Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about the sine function, unit circle and angles, how to use them, and their various applications. Check out the solved examples and practice questions for better understanding.
Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Lenguaje De Las Funciones

For Students 9th - 10th Standards
In Spanish. This is an interactive activity to calculate the domain and range of a function, to recognize the graphs of different functions and learn the global behavior of a function.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphing Polynomials

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...
Unit Plan
Sophia Learning

Sophia: Graphing Square Root Function

For Students 9th - 10th Standards
Create a table of values to graph a square root function and identify the domain and the range.
Activity
Analyze Math

Analyze Math: Graphs of Basic Trigonometric Functions

For Students 9th - 10th Standards
The trigonometry tutorial explores the graphs of the basic trigonometric functions. The interactive tutorial investigates the range, domain, and asymptotes of the functions. The activity has several examples with detailed solutions.
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,...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Relations and Functions

For Students 9th - 10th Standards
Hotmath provides 25 practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.

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