Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...
Interactive
CK-12 Foundation

Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
Interactive
CK-12 Foundation

Slope of a Tangent Line: Slope of the Tangent and Secant Lines

For Students 11th - Higher Ed
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
Interactive
Royal Society of Chemistry

Units of Volume

For Students 6th - 12th Standards
Did you know in the UK a quart is smaller than in America? This explains why a standard unit of measure is necessary for volume. Young scientists learn the similarities and differences between five different units used to measure volume....
Interactive
CK-12 Foundation

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
Interactive
CK-12 Foundation

Higher Order Derivatives—Acceleration and Jerk

For Students 11th - Higher Ed
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Interactive
CK-12 Foundation

Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima

For Students 11th - Higher Ed
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
Interactive
CK-12 Foundation

Tangent Line Approximation: Estimating Square Roots

For Students 11th - Higher Ed
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
Interactive
CK-12 Foundation

Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Interactive
CK-12 Foundation

Distance Between Two Points: Segment Addition

For Students 9th - 12th Standards
Examine the segment addition postulate through an online simulation activity. An interactive lesson allows scholars to manipulate points and watch as the lengths of segments change. Through their study, they are able to apply the Segment...
Interactive
CK-12 Foundation

Angles: The Angle of Discovery

For Students 6th - 8th
Practice important angle vocabulary using an interactive lesson. As learners manipulate vertical angles, they watch the supplementary and congruent angles adjust. Questions pertaining to vocabulary and measurements follow their exploration.
Interactive
CK-12 Foundation

Angle Classification: Angles in the Game of Pool

For Students 6th - 10th Standards
Make a game of angle classification. Using the direction of the pool ball, scholars determine the measure of the created angles. They work to create and classify different types of angles throughout an engaging interactive.
Interactive
1
1
CK-12 Foundation

Mean: Arithmetic Mean

For Students 6th - 9th Standards
How is a mean affected by changes in data? A well-designed animation allows individuals to manipulate data and watch the effect on the mean. Challenge questions help guide users to conclusions about outliers and skew within data.
Interactive
CK-12 Foundation

Related Rates of Car Speeds

For Students 11th - Higher Ed
Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...
Interactive
Shodor Education Foundation

Simple Maze Game

For Students 5th - 6th Standards
Avoid the mines and win the game! Young scholars direct a robot through a minefield by plotting points. Their goal is to reach the target in as few moves as possible.
Interactive
Shodor Education Foundation

Simple Monty Hall

For Students 6th - 12th Standards
What's behind door number one? A fun resource lets learners simulate the classic Monty Hall probability problem. Pupils choose a door, and after they select a losing door, they decide whether to switch or stay. Using their decisions, the...
Interactive
Curated OER

Word Problems

For Students 10th - 11th
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
Interactive
CK-12 Foundation

Scientific Models: Mathematical, Physical and Conceptual

For Students 6th - 12th
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...