CK-12 Foundation
Factoring by Grouping: Polynomials
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem.
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Distance Between Friends
Pupils use an interactive to help visualize the right triangles needed to calculate distances between friends' houses. Individuals solve five problems on how to determine distances and comparing the distances.
CK-12 Foundation
Special Triangle Ratios: Special Right Triangle Ratios
Go from one side length to any other side length with special right triangles. Individuals use the interactive to investigate the ratio of sides in 45-45 and 30-60 right triangles. Scholars make generalizations about the types of special...
CK-12 Foundation
Mixed Numbers as Improper Fractions: Pineapple Slices
Practice adding and subtracting improper fractions with pineapple slices. Young mathematicians move whole pineapple slices to visualize the addition of the 2/5s that is on Sally's plate. Pupils also use a combination of mixed numbers and...
CK-12 Foundation
Joint and Combined Variation: Variable Sliders
Learners use a pair of sliders to investigate how changes in a variable affects other variables in joint variation. A set of five challenge questions tests understanding.
CK-12 Foundation
Unit Circle: Medieval Castle Defense
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
CK-12 Foundation
Vertical Translations
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...
CK-12 Foundation
Monomial Factors of Polynomials: Mystery Boxes
Shortcut the work in finding total volumes. Pupils determine a polynomial expression that would represent the combined volume of three boxes. Each box has the same height, and the scholars rewrite the expression by factoring out the...
CK-12 Foundation
Polynomials in Standard Form
Set the standard for working with polynomials. Pupils arrange two polynomial expressions in standard form. The scholars respond to questions about the terms, coefficients, and degrees of the polynomials. They then discuss how they...
CK-12 Foundation
Addition and Subtraction of Polynomials: Adding Polynomials
Stack the like terms to add vertically. The resource contains a visual aid to help with the addition of polynomials using the vertical method. Pupils use the aid to calculate the sum of two polynomials.
CK-12 Foundation
Law of Cosines: Angles in the Outfield
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
CK-12 Foundation
Angle-Angle-Side Triangles: Garden Gate
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...
CK-12 Foundation
Possible Triangles with Side-Side-Angle
It's not often that math allows for multiple answers. Young mathematicians identify possible numbers of triangles when given two sides and a non-included angle. An interactive helps with this investigation.
CK-12 Foundation
Polynomials and Factoring: Classification Table
It all depends upon the terms. Pupils use the interactive table to sort polynomials. The scholars determine the names for the types of polynomials based on the number of terms.
CK-12 Foundation
Counting Events: Flipping Unfair Coins
Who said life was fair? An interactive uses an area diagram to represent the probabilities of flipping unfair coins. Pupils use the diagram to calculate the probabilities of outcomes of flipping the two coins. The scholars must decide...
CK-12 Foundation
Complement Rule for Probability: Changes in an Election
Pupils determine the probability of one mayoral candidate winning given the other's chance. The interactive provides a circle graph to help visualize each candidate's percentages of winning.
CK-12 Foundation
Geometric Probability: Dartboard
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...
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
Conditional Probability: Colorful Cubes
An interactive provides a model to visually represent the formula for the probability of an outcome. Given 10 numbered color cubes, pupils arrange them on the top and bottom shelf to represent the probability fraction. The learners...
CK-12 Foundation
Development of Theories
Theory or Law? You decide. And so will your class members, in an insightful interactive. Young scientists divide common scientific principles or statements between the two groups, then dig deeper in understanding the functions of...
CK-12 Foundation
Scientific Models: Mathematical, Physical and Conceptual
This is one super model interactive! Middle and high school science scholars examine scientific models through a simple resource. Guided, hands-on practice allows them to classify conceptual, mathematical, and physical models. Other...
CK-12 Foundation
Direction on the Earth: Using a Compass
Navigate the world of orienteering in an informative interactive. Earth science scholars learn practical direction skills, such as proper polar coordinates and pairing compasses with maps. The interactive map allows them to practice...
CK-12 Foundation
Graphs Using Slope-Intercept Form: Mountain
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.
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...