CK-12 Foundation
DeMoivre's Theorem and nth Roots: The nth Roots of Unity
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
CK-12 Foundation
Plots of Polar Coordinates: Submarine Sonar
Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...
CK-12 Foundation
Combinations: Making the Team
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...
CK-12 Foundation
Expected Value: Game of Chance
Determine whether the payoff is worth it. Pupils calculate the expected value of a game with three different payoff levels. Each level has a different probability of winning money. The scholars find the expected payoffs for each...
CK-12 Foundation
Expected Value: Win a Dollar
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...
CK-12 Foundation
Graphs of Linear Model of Direct Variation: On the Moon
You'll be over the moon about this resource. Scholars draw a line representing the weight of an object on the moon based on its mass. Consideration of the constant of proportionality allows them to see relationships between weight of an...
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
Graphs Using Slope-Intercept Form: Zip-Line
Zip lines aren't so scary when all your scholars use them for is math. Young mathematicians see how the slope of a zip-line to a building changes as the height changes. They answer a set of challenge questions regarding the scenario.
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
Fields in the Life Sciences
Many fields of study require a specialty and a sub-specialty as you progress through your education. Scholars learn about six sub-specialties of life science. From botany to zoology, our knowledge of the world of living organisms expands...
CK-12 Foundation
Natural Selection: Peppered Moths
Can human activity influence the colors of moths? The simulation explains how pollution changed the color of tree bark, which led to the survival of a different variation of moths. It also discusses the shift back as air quality improves.
CK-12 Foundation
Meiosis
"We Are Never Ever Getting Back Together" makes the perfect theme song for meiosis. The simulation encourages scholars to move the chromosomes and chromatids to properly illustrate the meiosis break up. Multiple-choice questions allow...
CK-12 Foundation
Cellular Respiration: Can Photosynthesis Be Reversed?
Cellular respiration and photosynthesis relate closely, but many don't realize how. Scholars drag and drop the reactants and products to the chemical reactions for both processes. Then they answer three multiple-choice questions.
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the...
CK-12 Foundation
Angle Classification: Crazy Quilt
There's more to a quilt than just a pretty pattern—there's geometry! Explore angle classification using an artistic approach to show your class that quilt designs are really just intricate geometric patterns. Here, scholars create a...
CK-12 Foundation
Points in the Coordinate Plane
Map your way to success in understanding coordinate points. Individuals drag town landmarks to their appropriate locations on a coordinate plane representing a map. They answer a set of challenge questions to see if their answers are...
CK-12 Foundation
Visual Patterns: Building the Queen's Tower
A resource fit for a queen. Scholars recognize and continue a pattern in towers people are building for a queen. They write and use an algebraic expression for the number of tiles in the towers.
CK-12 Foundation
Problem Solving Plan, Mental Math: The Perfect Lemonade 2
Drink in this resource. Young problem solvers investigate a different way of looking at the problem of filling four liters of water from a three-liter cylinder and a five-liter cylinder. Isometric grids help with this understanding.
CK-12 Foundation
Multi-Step Equations
It's important to know why each step in solving an equation works. Scholars order the steps and reasons when solving a multi-step equation. Solutions require using the distributive property, combining like terms, and using properties of...
CK-12 Foundation
Linear Pairs: Angles and Lines in a Perspective Drawing
Gain some perspective on linear pairs. Aspiring mathematicians adjust the vanishing point on a perspective drawing. They see the effect on linear pairs of angles and answer five challenge questions based on their observations.
CK-12 Foundation
Vertical Angles
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.
CK-12 Foundation
One-Step Equations and Inverse Operations: Additive Inverse
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
CK-12 Foundation
Modeling: Mathematical, Physical and Conceptual
Scientific models help explain ideas and concepts to non-experts. The online activity covers conceptual, mathematical, and physical models. Through four multiple-choice questions and three discussion questions, scholars gain a deeper...
CK-12 Foundation
Checking Solutions to Inequalities: Ordering Roses
It's important to have the correct number of flower arrangements at a wedding. Scholars match an inequality and a graph given a situation involving roses for wedding receptions. A set of challenge questions checks the matching pairs.