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Lesson Plan
Curated OER

Substitution "Plugging In"

For Teachers 8th - 10th
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The activity includes two application problems...
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Lesson Plan
Curated OER

Cell Phones

For Teachers 9th - 12th Standards
Your texters will enjoy assessing their knowledge of function notation in this simple set of exercises. They will also interpret function notation in terms of the given context.
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Lesson Plan
EngageNY

Function Composition

For Teachers 11th - 12th Standards
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
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Worksheet
Curated OER

Relations and Functions

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

Evaluating Functions

For Students 10th - 12th
In 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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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson plan uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
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Lesson Plan
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
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Lesson Plan
Virginia Department of Education

Functions 1

For Teachers 8th - 10th Standards
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
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Worksheet
Curated OER

Lab 5: Inverse Functions and Calculus

For Students Higher Ed
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
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Lesson Plan
EngageNY

Solving Problems by Function Composition

For Teachers 11th - 12th Standards
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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Lesson Plan
Virginia Department of Education

Functions 2

For Teachers 8th - 10th Standards
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
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Lesson Plan
Curated OER

Startup 1: Functions & Interval Notation

For Teachers 12th - Higher Ed
In this function worksheet, students write an equation of a line. They solve inequalities and write functions with interval notation. This two-page worksheet contains approximately 20 problems.
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Worksheet
Curated OER

The Functional Notation Problem

For Students 9th - 12th
In this composite functions instructional activity, students solve 1 composite functions problem by finding f(2x) in terms of f(x).  Students use a rational function when finding f(2x).
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Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 2)

For Teachers 9th - 10th Standards
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth activity in a 26-part series focuses on horizontal...
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Lesson Plan
Curated OER

Function Composition

For Teachers 9th - 12th Standards
Students solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
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Worksheet
Curated OER

Linear Functions

For Students 9th - 11th
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
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Lesson Plan
EngageNY

The Graph of the Equation y = f(x)

For Students 9th - 10th Standards
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
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Assessment
Illustrative Mathematics

Latitude

For Students 9th - 12th Standards
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
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Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between models...
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Worksheet
Curated OER

Composition of Functions

For Students 10th
In this composition of functions worksheet, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
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Worksheet
Curated OER

Math Skills-Writing Scientific Notation

For Students 9th - 11th
In this scientific notation worksheet, students perform basic math functions and express their answers in scientific notation.
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Worksheet
Curated OER

Scientific Notation, Significant Figures and the Factor-Label Method of Solving Problems

For Students 9th - 12th
In this scientific notation, significant figures, and factor-label method, high schoolers solve 1 problem where they perform mathematical functions and identify their answer in scientific notation with the proper number of significant...