It's the classic please excuse my dear aunt sally strategy to remembering the order of operations. Young mathematicians practice to develop an understanding of the order of operations. Examples and practice problems include...

Lateral area and surface area are simple concepts, but calculating them is not as easy! Using formulas, learners calculate lateral area and surface area for the same three-dimensional figures. The resource discusses the formula variables...

Does your bank pay you for allowing them to hold your money? Class members investigate three different ways money can make more money. Topics include certificates of deposit, statement savings accounts, and money market accounts....

Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.

Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...

There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...

Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...

Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...

See how well learners know how to solve expressions using the order of operations. Use this packet that includes 28 task cards that requires pupils to evaluate expressions with variables, solve expressions using the correct...

We can't see most gases and we can't see things at the molecular level — but that's about to change! A simulation shows pupils the activity of molecules in a gas. The simulation allows scholars to vary the volume, heat, and...

What would happen if your entire world was flipped upside down? In addition to changing the distance and size of an object, lenses flip the image upside down. The simulation allows scholars to vary the object, move the object, move the...

Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...

Historians believe the first vertical water wheel was invented in Rome during the Augustan Age. The sixth lesson in the series of 10 has scholars experiment with designing their own water wheels. Through testing various pastas and...

Researchers think they have evidence of a new planet deep in our solar system that is the size of Neptune and orbits the sun far beyond Pluto. The orbit simulator shows the orbits of our well-known planets, as well as Pluto and the comet...

Where does the energy of an arrow come from? Is it from the person, the bow, or somewhere else? A simulation allows scholars to adjust the stretch distance and the elastic constant in order to understand where the energy comes from, what...

Why do sprinters wear spiked shoes? Scholars explore various styles of shoes and how they handle forces when running. Scholars adjust variables including shoe type, horizontal force, surface type, and normal force to determine which...

Can you lift a piano into a truck? Simulation allows scholars to explore the relationship between force, ramp length, and weight. Pupils control the variables of truck bed height, ramp length, weight of piano, and the number of friends...

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...

How does electricity travel through power lines? The simulation demonstrates the how changes in voltage and resistance are related to the distance between power polls and the thickness of the cable. Scholars control three variables in...

In 1820, Hans Christian Orstead discovered the link between electricity and magnetism, which allows us to measure current and voltage. The simulation allows scholars to observe the inner workings of an ammeter and voltmeter as they...

How does a direct current run a motor? Pupils control five variables in an electric motor and observe how the force diagram changes. The force, magnetic field, and current vary based on the changes in the design of the magnet and...

Did you know physicists can identify new particles by observing the path they take in a particle accelerator? Scholars explore the variables that determine the direction and radius of the circular path different particles take. They...

Tommy is trapped on an ice bridge and needs you to balance the charges so he doesn't fall into the icy water! Scholars apply Coulomb's Law, which relates to both the strength and the distance between charges. They work with these two...

Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...