CK-12 Foundation
Intercepts by Substitution: Finding a Linear Product Using a Quadratic
Discover another way to interpret multiplication. Using an interactive, learners slide points (representing the factors of multiplication) along the x-axis of the graph of y = x^2 and observe changes in the line segment connecting the...
CK-12 Foundation
Sets: Bikes or Boards?
Do people ride, slide, or do both? Pupils use an interactive Venn diagram for the numbers of people owning bicycles, owning skateboards, or both. An interactive provides questions for them to answer using the diagram.
CK-12 Foundation
Venn Diagrams: Planets and Dwarf Planets of the Solar System
Yes, Venn diagrams are helpful in science, too. Learners use an interactive to classify celestial bodies as having moons, as dwarf plants, as both, or as neither. They answer a set of challenge questions based on the Venn diagrams they...
CK-12 Foundation
Empirical Probability: Scoring
Learners use an interactive to determine the probability that a soccer player will score a goal. Given data over the course of several days, they determine probabilities for several different situations.
CK-12 Foundation
Definition of Probability: It's in the Bag!
It's not in the bag. An interactive provides the probability of picking a certain color marble from a bag after several marbles have been removed. Young mathematicians learn about dependent events from this resource.
CK-12 Foundation
Measurement of Probability: Basketball Throw
Future mathematicians use an interactive to see how changing the size of a basketball court and the size of a region in the court affects the probability that a ball will randomly fall within the specified region. No calculations are...
CK-12 Foundation
Applications of Probability: What Are the Odds?
Improve your chances of understanding odds. Scholars use an interactive spinner to increase and decrease the number of favorable and unfavorable sections on the spinner. This spinner helps them learn about odds.
CK-12 Foundation
Counting Techniques: Permutations and Combinations
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
CK-12 Foundation
Operations with Sets: Let's Roll the Dice!
There's no need to roll dice for this probability experiment, the resource includes them already. Scholars use an interactive to see how including more possibilities as favorable outcomes in a dice activity affects the probabilities....
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
CK-12 Foundation
Venn Diagrams: T-Shirt Mystery
Sorting your t-shirts is easy with Venn diagrams. Individuals use a drag and drop interactive to classify shapes on t-shirts into Venn diagrams. A set of challenge questions tests whether the classification is correct.
CK-12 Foundation
Horizontal and Vertical Line Graphs
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.
CK-12 Foundation
Slope: Danger Mountain
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...
CK-12 Foundation
Linear Inequalities in Two Variables
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...
CK-12 Foundation
Graphs of Linear Functions: Line Designs
Designs from lines are sublime. Scholars create colorful designs by connecting points on an interactive coordinate plane. They answer questions about slope and quadrants based on their designs.
CK-12 Foundation
Slope: Hiking in the Woods
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...
CK-12 Foundation
Slope: A-Frame House
This resource on learning about slopes from A-frames is A-okay. A simple interactive has learners adjust the height and width of an A-frame house, and then calculate the slope of the roof for each situation.
CK-12 Foundation
Standard Form of Linear Equations: Seesaw
Don't hem and haw, learn about equations using a seesaw. An easy-to-use interactive has pupils move a seesaw on a coordinate plane to investigate the standard form of a linear equation. By completing a set of challenge questions, they...
CK-12 Foundation
Forms of Linear Equations: Equation Exploration
Different forms, same line. Young mathematicians investigate the standard form, slope-intercept form, and point-slope form of a linear equation. An interactive has them adjust lines on a coordinate plane to see changes in each form of...
CK-12 Foundation
Equations of Perpendicular Lines
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...
CK-12 Foundation
Equations of Parallel Lines: Exploring Equations
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...
CK-12 Foundation
Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
CK-12 Foundation
Permutations: Podiums
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...
CK-12 Foundation
Midpoint and Segment Bisectors: The Midpoint Formula
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...