CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
CK-12 Foundation
Zero Product Principle: Mysterious Parabolas
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
CK-12 Foundation
Pythagorean Theorem to Determine Distance: Neighborhood Map
Find the distance between various locations in a neighborhood. Scholars use the interactive to find distances between locations on a map. The map is overlaid onto a grid to provide coordinates for each location, and pupils apply...
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
CK-12 Foundation
Addition and Subtraction of Polynomials: Sliders
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
CK-12 Foundation
Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
CK-12 Foundation
Linear Programming: Bakers' Dilemma
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...
CK-12 Foundation
Fitting Lines to Data
Scatter the TV sales over weeks. Pupils create a scatter plot to display the number of TV sales over a period of several weeks. The interactive allows class members to create two lines of best fit. Then they determine which line fits...
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 coordinates...
CK-12 Foundation
Translation of Vectors and Slope: Identical Vectors
Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...
CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...
CK-12 Foundation
Expected Value: Creating a Discrete Probability Distribution Table
Wanna roll the dice? Determine whether it is a good idea to play a dice game. An interactive presents the rules for a game of dice. Pupils find the probabilities of each event and calculate the expected value of the game. They finish...
CK-12 Foundation
Computing Probabilities for the Standard Normal Distribution: The FDA and Food Safety
To recall or not to recall, that is the question. Using provided data, pupils calculate the percent of people that may fall ill on average. The scholars determine the standard deviation based upon the mean and the empirical rule, then...
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
Testing Hypotheses: Einstein
Einstein once said "A person who never made a mistake never tried anything new." Enlist his help in teaching young learners the importance of looking for mistakes in hypotheses. An interactive coaches pupils in the falsifiability of...
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
Mineral Identification: Mineral Scratch Test
How can mineralogists tell a diamond in the rough from a chunk of table salt? Science scholars find out through an interactive that demonstrates the characteristics of minerals used for identification purposes. Topics include hardness,...
CK-12 Foundation
Earth's Magnetic Field: Compass Poles
You'll be strangely drawn to this activity! Physical science pupils learn how compasses work in an interesting interactive. The content covers magnetic poles, Earth's magnetic field, and what would happen if Earth's poles swapped places.
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
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...