Interactive
CK-12 Foundation

Multi-Step Inequalities: Summer Camp

For Students 6th - 9th Standards
No chaperones are necessary to use this resource. Scholars solve a multi-step inequality problem on summer camp chaperones by using a pictorial representation. They write inequalities to represent various situations in this context.
Interactive
CK-12 Foundation

Mental Math for Addition and Subtraction Equations: Marble Bag Collector

For Students 6th - 7th Standards
Don't lose your marbles as your learn about addition and subtraction equations. Pupils investigate the relationship between addition and subtraction by using an interactive. They drag different color marbles into a box and identify...
Interactive
CK-12 Foundation

Vertical Angles

For Students 7th - 10th Standards
Examine vertical angles from a different angle. Moving one line in an intersecting pair of lines lets users see relationships between vertical angles. They finish by answering some machine-scored questions on the topic.
Interactive
CK-12 Foundation

Properties of Congruence: Congruent Figures

For Students 9th - 11th Standards
No two resources are exactly the same, but polygons can be. Scholars match congruent figures by dragging them together in an interactive. They answer some challenge questions that justify their matches.
Interactive
CK-12 Foundation

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
Interactive
CK-12 Foundation

Seasons: Shadow Lengths

For Students 6th - 8th
Before iPhones and calendars, how did humans determine the seasons of the year? Middle school scientists discover how to use shadows to determine the time of year in an enlightening interactive. Pupils manipulate the sun and examine the...
Interactive
CK-12 Foundation

Frequency Polygons: Constructing a Frequency Polygon

For Students 9th - 12th Standards
Connect the dots on frequency. Given a distribution table of scores on an assessment, learners create a frequency polygon by moving points on a graph to the correct frequency. The pupils use the display to answer questions about the...
Interactive
CK-12 Foundation

Evaluate Relations with Scatter Plots: Regression and Correlation

For Students 8th - 12th Standards
Introduce the concept of a correlation coefficient using an interactive lesson. Learners begin by manipulating a correlation coefficient and watching a graph change to represent the new value. Questions help strengthen their...
Interactive
CK-12 Foundation

Stem-and-Leaf Plots and Histograms: Digital Photography

For Students 8th - 10th Standards
Cameras use histograms to communicate the exposure of a photograph. An interesting lesson uses this idea to help learners deepen their understanding of histograms. It highlights the skew of the graphs by showing under- and overexposed...
Interactive
CK-12 Foundation

Simple Random Sampling: How Many Samples Does it Take to Change a Light Bulb?

For Students 7th - 10th Standards
Teach the concept of simple random sampling through an interactive lesson. Learners explore the concept by considering the strength of sampling methods. Size of the samples varies also as individuals determine which methods lead to the...
Interactive
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CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
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.
Interactive
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CK-12 Foundation

Mode: Kittens

For Students 6th - 8th Standards
It is not as difficult as herding cats. The short interactive provides a group of kittens to sort according to their colors. Pupils determine the mode of the number of kittens by color. The questions continue with other numbers of...
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...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
Interactive
CK-12 Foundation

Trapezoidal and Midpoint Approximations: Area of a Skirt

For Students 11th - Higher Ed
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
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...
Interactive
CK-12 Foundation

Explicit Formulas: Tiles for Writing nth Term in a Sequence

For Students 11th - Higher Ed Standards
Build an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference and...
Interactive
CK-12 Foundation

Geometric Sequences: Bacteria Colony

For Students 11th - Higher Ed Standards
Show budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...
Interactive
CK-12 Foundation

Sequence: The Sequence Calculator

For Students 11th - Higher Ed Standards
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Interactive
CK-12 Foundation

Ellipses Centered at the Origin: Lithotripsy

For Students 11th - Higher Ed Standards
Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...
Interactive
CK-12 Foundation

Ellipses: The Ellipse

For Students 11th - Higher Ed Standards
Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...
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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