Interactive
CK-12 Foundation

Families of Lines: Room in Perspective

For Students 8th - 10th Standards
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common...
Interactive
CK-12 Foundation

Angle-Angle-Side Triangles: Garden Gate

For Students 10th - 12th Standards
Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...
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

Linear Systems with Addition and Subtraction: XYZ Tiles

For Students 8th - 10th Standards
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Interactive
CK-12 Foundation

Vector Addition

For Students 11th - Higher Ed Standards
View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...
Interactive
CK-12 Foundation

Trigonometric Form of Complex Numbers

For Students 11th - Higher Ed Standards
Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...
Interactive
CK-12 Foundation

Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Interactive
CK-12 Foundation

Vector Multiplied by a Scalar: Boat Race

For Students 11th - Higher Ed Standards
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish. 
Interactive
CK-12 Foundation

Distance Between Two Polar Coordinates: Exploring Changes in Angle and Radius

For Students 10th - 12th Standards
Get straight answers on a curved grid. An interactive has learners apply the Law of Cosines to find the distance between two points on the polar coordinate plane. The pupils use the radii lengths and the angle between the two radii...
Interactive
CK-12 Foundation

Translation of Vectors and Slope: Rearranging a Classroom

For Students 11th - Higher Ed Standards
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
Interactive
CK-12 Foundation

Mutually Inclusive Events: Flower Beds at the Community Garden

For Students 9th - 12th Standards
What color does your garden grow? Learners manipulate the number of flowers of two colors in two garden plots. They determine the probabilities of choosing a particular color of a flower in a given plot. Scholars find the relationship of...
Interactive
CK-12 Foundation

Geometric Probability: Dartboard

For Students 6th - 12th Standards
Get your class on target with probability using an exciting resource. The interactive presents three square dartboards with different target areas, which are combinations of square units. Pupils determine the probabilities of randomly...
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

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Slope-Intercept Form: Mountain Train

For Students 7th - 9th
Hop aboard to learn about the slope-intercept form. Young mathematicians use an interactive to adjust the path a train takes up a mountain. A set of challenge questions helps them see the connection between key features and the...
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

Slope: Danger Mountain

For Students 8th - 10th
There's no danger in using an exciting resource. Pupils use an interactive to change the slope of a sledding path and see how the equation changes. They then apply information about safe slopes to see if their sledding paths are...
Interactive
CK-12 Foundation

Linear Inequalities in Two Variables

For Students 8th - 10th Standards
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
Interactive
CK-12 Foundation

Slope: Hiking in the Woods

For Students 7th - 9th
Learning about slopes from a hike in the woods is a walk in the park. Scholars slide a cutout of a person to simulate a hike along several paths. Passing through indicated points reveals the type of slope (positive, negative, zero, or...
Interactive
CK-12 Foundation

Equations of Perpendicular Lines

For Students 9th - 11th Standards
Investigate how the equation y = -1/x relates to perpendicular lines. Pupils align an arrow using an interactive so it is perpendicular to a bow string. A set of challenge questions helps learners discover slopes of perpendicular...
Interactive
CK-12 Foundation

Equations of Parallel Lines: Exploring Equations

For Students 9th - 11th Standards
Same slope, different point — what's the same and what's different about an equation? Young mathematicians use an interactive to position a line parallel to a given line and through a given point. They observe that the equation will have...
Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: The Midpoint Formula

For Students 9th - 12th Standards
Let's meet in the middle. Given two points on the coordinate plane, pupils use the interactive to find the midpoint. The interactive provides a graphical display of the midpoint and the midpoint formula with the coordinates of the...