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Interactive
CK-12 Foundation

Identify Functions and the Vertical Line Test: The Vertical Line Test

For Students 9th - 12th
There's no easier test than the vertical line test. Learners drag a vertical line across the graphs of several relations in an interactive. They answer a set of challenge questions that focus on whether the graphs represent functions.
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Interactive
Shodor Education Foundation

Vertical Line Test

For Students 9th - 12th Standards
Connect the points to create a function. Using points given by the applet, pupils try to connect them to create a line that would pass the vertical line test. The resource keeps track of the number of sets the learner is able to identify...
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Interactive
CK-12 Foundation

Vertical Line Test: Exploration

For Students 8th - 9th
What do vertical lines have to do with functions? Individuals slide a vertical line through four different graphs. They use that vertical line test to determine if the graphs represent functions.
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Interactive
CK-12 Foundation

Algebraic Functions: Vertical Line Test

For Students 8th
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
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PPT
Curated OER

Domain and Range

For Teachers 9th - 10th
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical line tests to...
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Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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Interactive1:29
Scholastic

Study Jams! Types of Lines

For Students 4th - 9th Standards
Get jamming with lines and sing along to this karaoke that reviews the main types of lines. Your learners can't forget the main properties of lines when they sing the chorus on the karaoke song after the included slide show. The slides...
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Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 7th - 9th
Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Interactive
CK-12 Foundation

Linear and Non-Linear Function Distinction: Domain and Range of a Function

For Students 8th Standards
Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.
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Worksheet
Curated OER

Lesson #46: Bar Graphs and Line Graphs

For Students 7th - 9th
In this bar graphs and line graphs instructional activity, students interpret bar graphs, line graphs, and box-and-whisker plots.  They find the measures of central tendency.  This three-page instructional activity contains notes,...
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Worksheet
Curated OER

Quantitative Data

For Students 6th - 9th
In this quantitative data worksheet, pupils compute measures of central tendency, draw vertical line diagrams, and compare collected data. This 23-page worksheet contains approximately 100 multi-step problems. Explanations and examples...
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Worksheet
Curated OER

Which Graphs are Functions?

For Students 9th - 10th
In this graphing worksheet, students use the vertical line test to determine if graphs are functions. This two-page worksheet contains 8 problems.
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Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
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Worksheet
Curated OER

Functions and Their Graphs

For Students 8th - 11th Standards
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test.  However, the problems are pretty basic. A...
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Lesson Plan
Willow Tree

Functions

For Students 8th - 11th Standards
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it. 
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Worksheet
Curated OER

Chapter 10-Relations and Functions, Practice Test

For Students 8th - 10th
In this intermediate algebra learning exercise, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
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Lesson Plan
Curated OER

Slope

For Teachers 9th - 11th
Students calculate the slope of a line. In this slope lesson, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.
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Lesson Plan
Virginia Department of Education

Slope-2-Slope

For Teachers 8th - 10th Standards
Pupils build on previous experience with slope to investigate positive, negative, zero, and undefined slope. They complete a puzzle matching slope-intercept and standard forms of linear equations.
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Lesson Plan
Texas Instruments

2B or not 2B a Functions

For Teachers 9th - 12th Standards
Learners use their graphing calculators to view graphs of equations. They tell if each equations is or is not a function and are shown pre-set graphs on their graphing calculators. They use the Quick Poll feature to indicate if the graph...
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Worksheet
Curated OER

Chapter 2 Practice Test

For Students 8th - 11th
In this algebra worksheet, students examine and graph linear equation, inequalities, and absolute value inequalities in two variables.  The three page worksheet contains forty-six problems.  Answers are not included. 
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Lesson Plan
West Contra Costa Unified School District

Solving Systems of Inequalities

For Teachers 8th - 10th
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
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Lesson Plan
Curated OER

Algebra: Linear Equations

For Teachers 6th - 8th
Students draw graphs of linear equations using the slope intercept form. Upon completion of various problems, students record their answers on the board and explain the solutions to classmates. Students take a test over the material...
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Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
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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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