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Interactive
CK-12 Foundation

Basic Geometric Definitions: Alternate Dimensions

For Students 9th - 12th Standards
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
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Interactive
CK-12 Foundation

Graphs of Functions Based on Rules: Plotting Profits

For Students 8th
Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...
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Interactive
CK-12 Foundation

Linear Inequalities: Concert Tickets

For Students 7th - 10th
Profit from this resource on linear inequalities. A slider interactive lets users see how the profit on band ticket sales changes with the number of tickets. A set of challenge questions provides some situations for learners to consider.
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Interactive
CK-12 Foundation

One-Step Equations Transformed by Multiplication/Division: Dividing Plums

For Students 6th Standards
Be sure to use this plum resource. Scholars apply an interactive to find the number of plums each friend receives after plum-picking. They see how the interactive relates to one-step equations.
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Interactive
CK-12 Foundation

Number Patterns: Square Sizes

For Students 6th - 8th
Size up an interactive on square sizes. Scholars adjust the side length of a square to represent the next term in a geometric pattern. They answer a set of challenge questions on the pattern to complete the activity.
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Interactive
CK-12 Foundation

Parallel and Skew Lines: Parallel or Not?

For Students 6th - 12th Standards
There's nothing askew about an informative resource. Pupils adjust one of two lines in an interactive to determine if the lines are parallel or skew. They answer a set of challenge questions about the lines.
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Interactive
CK-12 Foundation

Evaluate Expressions with One or More Variables: Water Bottle Expression

For Students 6th Standards
Fill your mind as you fill virtual water bottles. Pupils use an interactive to find the amount of water that can fit in given containers. Writing and evaluating an algebraic expression helps with this task.
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Interactive
CK-12 Foundation

Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion

For Students 7th - 9th Standards
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
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Interactive
CK-12 Foundation

The Real Numbers: Surjections, Injections and Bijections

For Students 8th - 12th
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
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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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Interactive
CK-12 Foundation

Formulas for Problem Solving: Finding Distance, Rate, and Time

For Students 8th Standards
Go the distance in learning about distance, rate, and time. Young mathematicians use an interactive to investigate the relationship between distance, rate, and time. A set of challenge questions assesses understanding of these...
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Interactive
CK-12 Foundation

One-Sided Limit Type: One-Sided Limits

For Students 11th - Higher Ed
Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.
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Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
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Interactive
CK-12 Foundation

Solving Equations with Exponents: Money Over Time

For Students 10th - 12th
We'd all like to see our money double. An interactive shows how an initial investment of $1,000 will increase using a constant rate of return. Scholars answer a set of challenge questions based on the situation.
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Interactive
CK-12 Foundation

Continuous Interest

For Students 10th - 12th
Continue teaching your financial scholars about interest. A slider interactive has users investigate the growth of an account earning continuous interest. A set of challenge questions has them solve problems given a variety of situations.
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Interactive
CK-12 Foundation

APR and APY: APR vs. APY

For Students 10th - 12th
Who wins the battle of the interest rates? Scholars use an interactive to investigate three different bank rates. Comparing APR and APY lets them see how nominal and effective rates differ.
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Interactive
CK-12 Foundation

Even and Odd Functions and Function Symmetry: Even and Odd Functions (Symmetry)

For Students 10th - 12th Standards
Even money states that the resource is good to use. Scholars manipulate an interactive to adjust the portion of a graph to the left of the y-axis. The interactive allows them to switch between even and odd modes that show the right side...
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Interactive
CK-12 Foundation

Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
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Interactive
CK-12 Foundation

Concept of Limit: Limit Notation

For Students 11th - Higher Ed
Limits to infinity are simple to find if you can compare numerators and denominators. Users of the interactive drag expressions to match with their limit as x approaches infinity. A set of challenge questions assesses their groupings.
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Interactive
CK-12 Foundation

Area Between Curves: Income and Expenses

For Students 11th - Higher Ed
Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the...
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Interactive
CK-12 Foundation

Vector Sum and Difference: The Country of Dreams

For Students 11th - Higher Ed Standards
Find your way around using vectors. Scholars use an interactive to learn about vector addition. They answer a set of questions about modeling a route on a map using vectors.
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Interactive
CK-12 Foundation

Vector Projection: Hitting a Baseball

For Students 11th - Higher Ed
Hit a home run with a resource that is all fun and games. Learners apply an interactive to determine the horizontal component of the distance a baseball travels. They must consider vector projections for this task.
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Interactive
CK-12 Foundation

Arithmetic Sequences: Paying of a Loan

For Students 11th - Higher Ed Standards
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...