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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Handout
Charleston School District

Graphs of Linear Functions

For Students 8th Standards
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 
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Handout
Charleston School District

Graphing Functions

For Students 8th Standards
How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points. 
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Worksheet
Curated OER

Graphs

For Students 9th - 11th
In this graphs worksheet, learners solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
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Worksheet
Houghton Mifflin Harcourt

Graphs from Patterns

For Students 5th - 6th Standards
Fifth graders analyze patterns and begin looking at function tables. This is a pertinent preparation for graphing patterns. In fact, consider giving your class a piece of graph paper and then teach them how!
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Lesson Plan
1
1
EngageNY

Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
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Assessment
CPALMS

Writing an Exponential Function from its Graph

For Students 9th - 12th Standards
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
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Interactive
1
1
Curated OER

Graphing Exponential Functions

For Students 9th - 11th
Explore the concept of graphing exponential functions. High school mathematicians are given exponential functions such as y=2*3^x, and they graph them on a coordinate plane.  They are given two exponential graphs and must write an...
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Worksheet
Curated OER

Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

For Students 10th - 12th
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
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Assessment
Curated OER

Building Functions

For Students 8th - 10th Standards
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
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Worksheet
2
2
Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions. 
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Handout
Ontrack Media

Chart of Parent Functions

For Students 9th - 11th Standards
The characteristics of parent function vary from graph to graph. Let learners decipher the graph, table of values, equations, and any characteristics of those function families to use as a guide. The nicely organized page displays the...
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Worksheet
Curated OER

Interpret Graphs of Ordered Pairs

For Students 6th - 10th
Middle and high schoolers solve four word problems based on three different graphs of ordered pairs which show the amount of money spent on lunch on particular days. Next, learners are given two equations of functions, and an x value and...
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Lesson Plan
Curated OER

2D-Graphing Functions

For Teachers 8th - 10th
Practice graphing basic equations. Algebra learners complete a table showing values of x and y. They graph the results on a coordinate grid. There are six problems: three equations are linear, and three are quadratic. The "show your...
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Worksheet
Curated OER

Quiz: Logarithmic Functions

For Students 10th - 12th
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
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Worksheet
Curated OER

Interpreting Functions

For Students 8th - 10th Standards
Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...
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Worksheet
Curated OER

Graphs of Functions

For Students 10th - 12th
Learners explore the concept of quadratic equations.  In this quadratic equations worksheet, students are given the parent graph y=x^2 and must determine the equations of two quadratic equations that have been shifted.
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Worksheet
CPM

Tables, Equations, and Graphs

For Students 8th - 9th Standards
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
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Lesson Plan
1
1
West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
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Assessment
Mathematics Assessment Project

Sorting Functions

For Students 9th - 11th Standards
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
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Handout
Charleston School District

Sketching a Piecewise Function

For Students 8th - 9th Standards
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
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Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
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Assessment
Charleston School District

Pre-Test Unit 3: Functions

For Students 8th Standards
How does an input affect an output? Assess your learners' ability to answer this question using this pre-test. Scholars answer questions about the basics of a function. Topics include determining if a table or statement represents a...
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Lesson Plan
West Contra Costa Unified School District

Connecting Graphing and Solving Absolute Value Equations and Functions

For Teachers 10th - 12th Standards
Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...

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