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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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Worksheet
Curated OER

Lesson #46: Bar Graphs and Line Graphs

For Students 7th - 9th
In this bar graphs and line graphs worksheet, students interpret bar graphs, line graphs, and box-and-whisker plots.  They find the measures of central tendency.  This three-page worksheet contains notes, vocabulary, and approximately 10...
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Lesson Plan
Curated OER

Graphing Lines That Don't "Fit"

For Teachers 7th - 9th
How can you graph lines that don't seem to fit on the given graph? What makes a line straight? What does the rate of change mean when graphing a line? How do you know if a slope is positive or negative? How do you know if the graph of a...
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PPT
BW Walch

Creating and Graphing Linear Equations in Two Variables

For Teachers 9th - 10th Standards
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is taken to discuss...
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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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Handout
Del Mar College

All About Lines

For Students 7th - 10th Standards
This resource should be called "All About Lines, and Then Some!". Packed full of all the key components of linear functions, learners review how to set up different equations, find intercepts, and graph. All the main topics are included...
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Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
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Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 7th - 9th
Learners 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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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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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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Assessment
1
1
Balanced Assessment

Dollar Line

For Students 9th - 12th Standards
Challenge the class to develop a story that matches a graph. The short assessment provides a line graph with the vertical axis labeled as dollars. The task asks pupils to develop a description of a situation that could be represented by...
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Lesson Plan
1
1
Teach Engineering

Graphing Equations on the Cartesian Plane: Slope

For Teachers 7th - 9th Standards
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The lesson also includes the discussion of slopes of parallel and...
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Lesson Plan
Willow Tree

Parallel and Perpendicular Lines

For Students 8th - 11th Standards
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
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Lesson Plan
Curated OER

Horizontal and Vertical Lines

For Teachers 9th - 12th Standards
Students solve equations and graph-their solutions. In this algebra lesson, students, identify the type of line using the slope of the equation. They graph and observe their lines.
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Handout
Mt. San Antonio Collage

Quadratic Functions and Their Graphs

For Students 9th - 12th Standards
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems. 
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Worksheet
Curated OER

Which Graphs are Functions?

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

Contour and Cross-Section Skills

For Students 7th - 12th
For this geography worksheet, learners identify the Wolf Creek Crater and how it was formed. They examine a contour map given of how the crater would look from above. Then, pupils use a ruler to draw lines as on the graph to the side....
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Lesson Plan
Willow Tree

Slope

For Students 8th - 11th Standards
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The instructional...
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Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
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Lesson Plan
EngageNY

Horizontal and Vertical Asymptotes of Graphs of Rational Functions

For Teachers 11th - 12th Standards
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
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Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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Worksheet
Curated OER

Graphing a Line Parallel to an Axis

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students graph lines parallel to an axis.  The one page worksheet contains one multiple choice question with the answer.