CK-12 Foundation
Method of Cylindrical Shells
Approximate the volume of a solid of revolution. Using a method similar to approximating the area under a curve, pupils investigate the volume of a solid of revolution. The learners use a given definite integral to find the volume of...
CK-12 Foundation
Equations of Circles: The Sea of Happiness
Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
CK-12 Foundation
Factorization of Quadratic Expressions: Algebra Tiles
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
CK-12 Foundation
Volume of Pyramids: Fluctuating Height
The height of a pyramid may change, but the usefulness of the interactive will not. Learners drag the apex of a pyramid to change its height. They then answer a set of challenge questions designed to investigate how changing the...
Concord Consortium
Seeing Specific Heat and Latent Heat
What happens inside a melting solid? Prospective physical chemists observe a solid-to-liquid phase change at the molecular level using an inspired interactive. Pupils add heat to a close system, then monitor changes in kinetic and...
Shodor Education Foundation
Spread of Disease
Control the spread of a contagious disease. An applet allows pupils to run a simulation on the spread of a disease. Rules govern how the disease is spread and the length of time it takes to recover. Learners view the spread visually and...
CK-12 Foundation
Intermediate Value Theorem, Existence of Solutions: Function Exploration
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
CK-12 Foundation
Multiplication of Monomials by Polynomials: Distributing the Monomial
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for...
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Physics Classroom
Fnet = m•a
Most pupils learn quickly how to apply Newton's Second Law equation to calculate net force. However, many struggle to determine net force before calculating the value of an unknown force from a force diagram. As part of a larger series...
BrainPOP
U.S. Symbols
United States symbols are the subject of a video brought to you by BrainPop Jr. Hosts, Annie and Moby, begin with a definition of the word symbol, then go on to detail ten American symbols—the American flag, a Bald Eagle, the Liberty...
Physics Classroom
Vector Addition
Three levels of practice assure scholar mastery of vector addition. After inputting an incorrect answer, another problem replaces it so everyone finds success. The lesson works as one part of a series on vectors and projectiles.
CK-12 Foundation
Finding the nth Term Given the Common Ratio and the First Term: Dominoes
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
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...
Shodor Education Foundation
Algebra Four
Everybody wins when you play Algebra Four. Players solve linear and quadratic equations to earn pieces on the Algebra Four game. Make a row of four pieces and you win the game. But everyone gets practice with solving equations, so really...
Judicial Learning Center
State Courts vs. Federal Courts
Popular culture often portrays the Feds as the most fearsome of law enforcement agencies. Yet, someone charged with a crime is considerably more likely to end up in a state court. The lesson, one of six covering the Organization of the...
Shodor Education Foundation
Data Flyer
Fit functions to data by using an interactive app. Individuals plot a scatter plot and then fit lines of best fit and regression curves to the data. The use of an app gives learners the opportunity to try out different functions to see...
Shodor Education Foundation
Regression
How good is the fit? Using an interactive, classmates create a scatter plot of bivariate data and fit their own lines of best fit. The applet allows pupils to display the regression line along with the correlation coefficient. As a final...
Curated OER
Word Roots 5: NAT, TRACT, SEQU Advanced Puzzle 1, 2, & 3
Break down the connection between word roots and words with similar meanings with this resource. Learners use a list of words, a brief definition of each word, and twelve word roots with blanks next to them to fill in. They then fill in...
Shodor Education Foundation
Experimental Probability
Spin into a dicey experiment. Pupils use a spinner or a pair of dice to determine the experimental probabilities of each outcome. The interactive allows for either, one, five, or ten consecutive experiments. Using the applet, learners...
CK-12 Foundation
Hot Oven
Why does the air in a hot oven not burn skin, but metal in the oven does? The simulation focuses on the difference between temperature and thermal energy and the way these are transferred. Scholars adjust the temperature of an oven and...
Shodor Education Foundation
Pythagorean Explorer
Make sure the measurement is right. The interactive provides right triangles with a missing side measurement. Pupils use the given sides and the Pythagorean Theorem to calculate the length of the missing side. After entering the length,...
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...