CK-12 Foundation
Bar Graphs, Frequency Tables, and Histograms: Comparing Heights
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.
CK-12 Foundation
Data Summary and Presentation: Chart for Grouping Data
Get social! Create a display of social media use for a class. Pupils use provided information about the time spent on social media to construct a histogram. Using the histogram, learners interpret the data to answer questions.
CK-12 Foundation
Frequency Tables to Organize and Display Data: Favorite Films
What information can your class determine if they know the number of people attending movie showings? Using the information about the number of people at each screening, learners develop a frequency table. The pupils analyze the type of...
CK-12 Foundation
Frequency Polygons: Constructing a Frequency Polygon
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...
CK-12 Foundation
Broken-Line Graphs: Heating Curve of Water
Examine the unique graphs coined broken-line graphs. Using the phase change of water for data, learners answer questions related to the temperature and energy at different times in the cycle of the phase change. Questions focus on the...
CK-12 Foundation
Formulas for Problem Solving: Finding Distance, Rate, and Time
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...
CK-12 Foundation
Sampling Distribution of a Sample Mean: The Mean of the Average Ages
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
CK-12 Foundation
Solving Equations with Exponents: Money Over Time
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.
CK-12 Foundation
Continuous Interest
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.
CK-12 Foundation
Even and Odd Functions and Function Symmetry: Even and Odd Functions
Even, odd, or neither? Pupils study even and odd functions using a well-balanced interactive. They determine whether a given function is even or odd from its graph.
CK-12 Foundation
Concept of Limit: Limit Notation
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.
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
CK-12 Foundation
Vector Projection
Two words summarize the interactive: vector projector. An easy-to-use resource lets users investigate vector projections on the coordinate plane. Given the components of two vectors, they determine the projection of one vector onto the...
CK-12 Foundation
Geometric Sequences: Bacteria Colony
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...
CK-12 Foundation
Sequence of Partial Sums: Partial Sums
Have some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...
CK-12 Foundation
Ellipses Centered at the Origin: Lithotripsy
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...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
CK-12 Foundation
Definition of Inverse Functions
Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...
CK-12 Foundation
Existence: One-to-One Functions and Inverses
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....
CK-12 Foundation
Equations of Circles: Finding the Equation of a Circle
It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...
CK-12 Foundation
Integer Division: Dropping Anchor
An interactive made up of five questions challenges mathematicians to divide integers and reflect on division properties. A moveable anchor aids in problem-solving. Question types include multiple-choice, true or false, and...
CK-12 Foundation
Percents as Decimals
In some cases, decimals are just easier to work with. An easy-to-use interactive shows how to convert percents to decimals. It then challenges learners to answer a set of questions, some of which include percents that are greater than...
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