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.
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...
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.
Worksheet
Curated OER

Lesson #46: Bar Graphs and Line Graphs

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

Presentation of Quantitative Data- Vertical Line Diagrams

For Students 6th - 9th
For 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...
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...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 9th - 11th Standards
Young geometers get some solid skills practice in evaluating slopes. Beginning with the basics of slope through two points and progressing through properties of parallel and perpendicular lines, the building of skills is gradual and...
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...
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...
Printables
K-5 Math Teaching Resources

Blank Bar Graph Template

For Students K - 5th Standards
This template is just begging for your young mathematicians to fill it in with colorful bar graphs! With horizontal and vertical axes in place and grid lines for added support, this is a great resource for teaching children how...
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. 
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.
Worksheet
Curated OER

Contour and Cross-Section Skills

For Students 7th - 12th
In 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....
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 lesson follows a...
Interactive
Khan Academy

Challenge: Lined Paper

For Students 6th - Higher Ed
Now create your own graph paper with this JavaScript programming activity! First, change the while loop that draws horizontal lines into a for loop. Then, add another for loop that draws the vertical lines. For an added challenge,...
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. 
Worksheet
Curated OER

Reading Line Graphs

For Students 4th
In this line graphs learning exercise, 4th graders, after studying a line graph illustrating Emily's hiking record, answer 4 short answer questions relating to the line graph.
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.
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...
Worksheet
Curated OER

Graphing a Line Parallel to an Axis

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

Test 1: Graphing Functions

For Students 9th - 12th Standards
Graph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.