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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
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Interactive
CK-12 Foundation

Single Bar Graphs: Cupcakes

For Students 7th - 12th
What is a little cake among friends? Given the relationship between the number of cupcakes five friends have, pupils create a bar graph. The learners answer questions about the graph and adjust the graph if one friend shares some of his...
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Interactive
CK-12 Foundation

Graphs of Linear Systems: Heart Rate Tracker

For Students 8th - 10th Standards
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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Interactive
CK-12 Foundation

Multiple Line Graphs: Jack's Jumpshot

For Students 7th - 10th Standards
What are the advantages to seeing multiple data sets on the same graph? Scholars explore this question as they manipulate the animation within the lesson. Questions within the interactive ask individuals to make comparisons across the...
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Lesson Plan
Curated OER

Using Bar Graphs to Understand Voting Patterns

For Teachers 9th - 12th
Bar graphs are used as a way to study voting patterns in the United States. A variety of statistical data is presented in the graphs, and pupils must interpret the data in order to make a report to the class. Three excellent graphs,...
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Interactive
CK-12 Foundation

Analyzing the Graphs of Functions: Analyzing a Rational Function

For Students 11th - Higher Ed
Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...
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Interactive
CK-12 Foundation

Bar Graphs, Frequency Tables, and Histograms: Comparing Heights

For Students 7th - 10th Standards
Become a master at creating visual displays. Using a provided list of heights, users of the interactive create a bar graph and a histogram. They answer a set of challenge questions based on these data representations.
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Interactive
CK-12 Foundation

Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data

For Students 7th - 12th
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
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Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
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Interactive
CK-12 Foundation

Graphs of Linear Systems: Star Lines

For Students 8th - 10th Standards
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
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Interactive
CK-12 Foundation

Double Bar Graphs: Favorite Cookies Chart

For Students 6th - 10th
It's just the way the cookie crumbles. Using the data from a class poll, learners create a double bar graph showing favorite cookie types. The pupils compare favorites between boys and girls with the aid of their graphs, then they make...
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Interactive
CK-12 Foundation

Single Bar Graphs: Hockey Teams

For Students 6th - 12th Standards
Raise the bar for hockey fans. Using data about favorite hockey teams, pupils build a bar graph. They use the information from the graph to make comparisons and solve one- and two-step problems.
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Interactive
CK-12 Foundation

Parametric-Inverses: Graph Matching

For Students 11th - Higher Ed
Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...
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Interactive
CK-12 Foundation

Quadratic Functions and Their Graphs: Soccer Ball Trajectory

For Students 9th - 12th Standards
Determine critical points in the flight of a soccer ball. Pupils use an interactive resource to find the vertex and x-intercepts of the graph of the trajectory of a soccer ball after being kicked. Scholars investigate the trajectory...
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Interactive
CK-12 Foundation

Graphs of Systems of Linear Inequalities in Two Variables: President Jefferson's Octagonal Home

For Students 9th - 12th
Mathematically complete a set of blueprints. Using eight linear inequalities, pupils create a blueprint of Thomas Jefferson's home. Individuals graph the linear inequalities and position the solution of the inequalities before...
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Interactive
CK-12 Foundation

One-Sided Limit Type: Limit Notation and Graphs

For Students 11th - Higher Ed
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
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Interactive
CK-12 Foundation

Intercepts by Substitution: Finding a Linear Product Using a Quadratic

For Students 9th - 12th Standards
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
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Interactive
CK-12 Foundation

Function Rules based on Graphs: Making Money in the Hat Business

For Students 8th - 9th Standards
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
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Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Zip-Line

For Students 7th - 9th Standards
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
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Lesson Plan
EngageNY

Interpreting the Graph of a Function

For Students 9th - 10th Standards
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these connections...
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Interactive
CK-12 Foundation

Misleading Graphs (Identify Misleading Statistics): Are Virgos Cursed?

For Students 7th - 10th Standards
Is it safe to take data at its face value? Pupils use the interactive to evaluate a claim that Virgos are more likely to get into a car crash than others. Individuals determine whether another variable may be at play.
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Lesson Plan
Virginia Department of Education

Graphing Systems of Inequalities

For Teachers 8th - 10th Standards
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
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Interactive
CK-12 Foundation

Multiple Bar Graphs

For Students 6th - 10th
I scream, you scream, we all scream for ice cream bar graphs. Pupils create a multiple bar chart to represent the sales of ice cream products during the first week of summer. Using the chart, learners find the day that each of the...