CK-12 Foundation
Antiderivative: Piecing it Together
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...
CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection.
CK-12 Foundation
Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima
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...
CK-12 Foundation
Related Rates of Car Speeds
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...
CK-12 Foundation
Higher Order Derivatives—Acceleration and Jerk
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...
CK-12 Foundation
Chain Rule
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...
CK-12 Foundation
Constant, Identity, and Power Rules: Power Rule
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...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
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...
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
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...
CK-12 Foundation
Continuity of a Function: Continuity
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
Concord Consortium
Direction and Strength of Force in Electric Fields
Finally, a helpful tool for modeling electric fields! Young physicists explore the unseen world of magnetism via a simple interactive. Individuals move a charged object around a stationary object and see the strength and directions of...
Concord Consortium
Van de Graaff Discharge
Your class will definitely get a charge out of an electric interactive! Show young scientists what really happens when you place a wand near a Van de Graaff generator using a simulation. Pupils add varying amounts of negative charge to...
Concord Consortium
Direction of Force Around a Van de Graaff—Negatively Charged
Learn about the direction of magnetic force with a very attractive interactive! Young physicists move a positively charged object around a negatively charged Van de Graaff generator and observe the direction of the forces present. A...
Concord Consortium
Concentrating Charge and Electric Fields
How did Rutherford determine that the nucleus was the center of an atom? Take a look inside the famous Gold Foil Experiment with an interesting interactive. Learners fire a beam of alpha particles at a nucleus containing variable...
Concord Consortium
Direction of Force on Charged Objects
Make your unit on magnetism a force to be reckoned with! Physical science scholars examine the direction of force on charged objects through a simple interactive. Pupils control the charge of the stationary object, then observe how it...
Concord Consortium
Opposites Attract
Whether they pull together or push away from one another, magnets are sure-fire pupil pleasers! Take their study of magnetism to a new level with a fun interactive. Individuals control the polarity of two spheres to observe attractive or...
Concord Consortium
Visualizing Electric Fields and Forces
Shock your class with an exciting interactive about electric fields! Physical science superstars visualize the transparent world of electric fields by changing the charge on a stationary object. They then observe changes in the resulting...
Concord Consortium
Dissolving Experimental
Why does like dissolve like? While in many cases opposites attract, the same cannot be said for chemistry! Solution scholars take an up-close look at the dissolving process with a customizable interactive. The resource allows users to...
Concord Consortium
Dissolving
What happens to substances when they dissolve in water? Young scientists investigate the dissolving process with a colorful interactive. The resource illustrates changes in potential energy as solute particles interact with water...
Concord Consortium
Mixing Liquids
Sometimes being mixed up is a good thing! Young chemists explore the basics of making solutions with a realistic interactive. Pupils observe the differences in volume using quantities of water and ethanol, as well as the effects of...
Concord Consortium
Sticking a Balloon to a Wall
This is one sticky situation! Science sleuths uncover the mystery behind a balloon that appears to be stuck to a wall using an interactive. Learners observe a neutrally charged wall before they manipulate the charge on a balloon. Atom...
Concord Consortium
Making Molecules
It's molecule magic! Skillful scholars explore the effects of different atoms on molecular polarization using an intuitive interactive. The resource displays the charge at different locations on the molecule, then adapts as the user...