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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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Worksheet
Curated OER

Presentation of Quantitative Data- Vertical Line Diagrams

For Students 6th - 9th
In this quantitative data worksheet, students examine how vertical line diagrams can be used to display discrete quantitative data. They read about the use of tally charts to create vertical line graphs that display the data. They...
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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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Lesson Plan
Curated OER

Points, Lines, Planes, and Space

For Teachers 9th - 12th
In this points, lines, planes, and space worksheet, learners solve word problems dealing with points, lines, planes, and space. Students complete 20 individual problems and 20 group problems.
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Lesson Plan
Virginia Department of Education

Lines and Angles

For Teachers 9th - 11th Standards
Explore angle relationships associated with transversals. Pupils construct parallel lines with a transversal and find the measures of the angles formed. They figure out how the different angles are related before constructing...
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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
For 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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Assessment
Charleston School District

Pre-Test Unit 2: Similar and Congruent

For Students 8th Standards
A pre-test contains questions about transformations that lead to congruent and similar images. It also covers angle relationships associated with triangles and parallel lines intersected by a transversal. 
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Interactive
CK-12 Foundation

Existence: One-to-One Functions and Inverses

For Students 11th - Higher Ed Standards
One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....
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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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Interactive
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Scholastic

Study Jams! Add & Subtract Mixed Numbers

For Students 5th - 7th Standards
Adding and subtracting mixed numbers need the same attention that regular fractions do by finding a common denominator. If you plan to use a vertical line-up of the fractions then this video is for you. It just introduces this method, it...
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Interactive
CK-12 Foundation

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
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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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Worksheet
Curated OER

Frequency Tables; Discrete Ungrouped Data

For Students 5th - 6th
In this frequency tables worksheet, students utilize given data to work out three frequency charts with one containing values and a pie chart involving angles for each value. Students complete three vertical line diagrams and check all...
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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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Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.

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