How can heat power an engine? Scholars observe a heat engine working and control variables to determine the most efficient setup. They change the amount of heat input as well as the stroke length. Energy efficiency numbers prove the...

Can you easily lift more than your own weight? With a pulley system, almost anyone can manage this challenge. Scholars adjust the mechanical advantage (number of pulleys), weight of object being lifted, and the length of rope pulled. The...

How can a magnifying glass or reading glasses make things appear larger? Scholars simulate moving a lens closer or farther from an object to observe the resulting image. They also alter the lens focal length. The simulation shows the...

How can a pan flute sound one note while we hear a chord? The simulation explores sound waves, vibrations, and harmonics at the molecular level. Scholars control the pipe into which air is being blown, the length of the pipe, and which...

Use a combination of tiling a rectangle to find area and find the greatest common factor of the lengths of two sides and the area they create. Pupils increase and decrease the sides of the rectangle before answer five questions...

Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...

Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also...

There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.

Congruent figures: two figures that want to be just like each other. Individuals learn to distinguish between figures that are congruent and those that are not. Measuring the lengths of line segments and angles helps in this endeavor.

All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.

How do we know how long ago a dinosaur lived or an ancient fire pit was used? Scholars learn about the application of carbon dating and half lives to discover things about the past. They adjust the amount of radioactive carbon in the...

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...

Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.

What makes a swing go back and forth like a pendulum rather than going all the way around? Scholars use the simulation to explore pendulums and how they work. They vary the weight, length of the rope, and even gravity in various trials.

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...

Size up an interactive on square sizes. Scholars adjust the side length of a square to represent the next term in a geometric pattern. They answer a set of challenge questions on the pattern to complete the activity.

There's nothing fishy about this resource. A slider interactive lets users adjust the side length of a fish tank cube. It aids in seeing changes in the volume and how to express the volume using an algebraic expression.

Stretch your knowledge of ratios to the coordinate plane. The interactive allows pupils to set the endpoints of a directed line segment and form a right triangle. Using rubber bands, users visualize the line segment divided into equal...

Let the means live in harmony. With lengths representing the values of a small data set, learners compare the arithmetic mean to the harmonic mean. The pupils determine which value is the most accurate representation of the average of...

Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...

How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...

Learners won't have to squirm when asked the facts after completing an intriguing lab investigation! Hook young scholars on science by challenging them to verify Hooke's Law using a gummy worm. Measuring the length of the worm as they...

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...

What makes an equilateral triangle equilateral? It turns out it's much more than just the side lengths! Learners analyze four different triangles to determine the best equilateral triangle. They create a formula that they later use to...