Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Interactive
CK-12 Foundation

Improper Fractions as Mixed Numbers: Sharing Scratch-n-Sniff Stickers

For Students 6th Standards
No, you can't actually smell these 13 scratch-n-sniff stickers. But you can group them into equal groups of four, with one sticker remaining. Using that information, learners create a mixed number based on the improper fraction, 13/4.
Interactive
CK-12 Foundation

Distance Formula: Right Triangles

For Students 8th - 10th Standards
Go the distance with a far out resource. Individuals use an interactive to create right triangles on a coordinate plane to help find distance between two points. Challenge questions aid them in developing the distance formula.
Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
Interactive
CK-12 Foundation

Vertical Translations

For Students 10th - 12th Standards
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...
Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
Interactive
CK-12 Foundation

Linear Programming: Bakers' Dilemma

For Students 9th - 12th Standards
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
Interactive
CK-12 Foundation

Determining the Equation of a Line: Temperature Conversion Challenge

For Students 8th - 10th Standards
Line up the temperature conversions. Pupils create the linear function between Celsius and Fahrenheit on a graph by plotting the freezing and boiling points of water. The scholars determine how the relationship changes based upon...
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...
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...
Interactive
CK-12 Foundation

Vectors as Directed Line Segments: Directed Line Segment

For Students 9th - 12th Standards
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...
Interactive
CK-12 Foundation

Combinations: Making the Team

For Students 9th - 12th Standards
Determine how many three-player teams you can make from five players. Pupils drag dots representing players to create a list of teams they can form with a limited number of players. They then find out the number of teams one...
Interactive
CK-12 Foundation

Expected Value: Win a Dollar

For Students 11th - 12th Standards
Spin a wheel, land on a color ... and win. Learners create a graph to display the probabilities of the amount of money they can win by spinning a colored wheel. The pupils use the dollar amounts and their probabilities to calculate the...
Interactive
CK-12 Foundation

Numerical Computations: Counting Out Probability

For Students 6th - 8th Standards
Keep your heads up while counting. Pupils use an interactive to create a table with the possible outcomes of flipping three coins and then determine the probabilities of getting certain combinations of heads and tails.
Interactive
CK-12 Foundation

Atoms to Molecules: Constructing Helium

For Students 7th - 9th
Protons and neutrons and electrons, oh my! Physical science scholars get hands-on with interactive atomic modeling. Starting with a simple helium atom, participants create and name ions, then build isotopes. Questions throughout the...
Interactive
CK-12 Foundation

Sedimentary Rock Classification: How Old is That Layer?

For Students 9th - 12th
A timely resource illustrates the effects of the passing years on sedimentary rock formation! Young geologists discover just how long it takes to create shale, slate, and other sedimentary rocks. The interactive also shows...
Interactive
CK-12 Foundation

Coterminal Angles: Full Circle

For Students 9th - 12th Standards
Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.
Interactive
CK-12 Foundation

Graphs Using Slope-Intercept Form: Mountain

For Students 7th - 9th Standards
Climb every mountain, even one you create in an interactive. Individuals solve a problem involving slopes and distances of campsites on a mountain. Answering a set of challenge questions aids in the process.
Interactive
CK-12 Foundation

Fundamental Counting Principle with and without Repetition: Outfit Combinations

For Students 6th - 8th Standards
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
Interactive
CK-12 Foundation

Permutations: Podiums

For Students 9th - 12th Standards
Add a winning resource to your library. A self-paced interactive has users create a sample space for all possibilities of arranging first- and second-place winners on a podium. The results lead to the realization that permutations...
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...
Interactive
CK-12 Foundation

Congruent Angles and Angle Bisectors: Bisecting Pepperoni Pizza

For Students 9th - 12th Standards
Who doesn't like pizza?  A creative lesson uses a piece of pizza to explore angle bisectors and congruent angles. Young scholars work through a simulation to create congruent slices of pizza by analyzing an angle bisector. They then...
Interactive
CK-12 Foundation

Domain and Range of a Function: Making Money Math

For Students 8th Standards
Graphs are useful for many things, including seeing how much money you can make. Individuals create a graph of earnings from a job based on the number of hours. They determine the domain and range of the graph and answer challenge...

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