Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.

There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.

Strengthen your understanding of logistic functions. Young mathematicians change the carrying capacity of a logistic function and see how function values change. The function models the number of members in a gym over time.

A crossword puzzle based on Ralph Ellison's Invisible Man provides readers with an opportunity to test their knowledge of the novel's events.

What do Johann Sebastian Bach and Miles Davis have in common? Much more than class members might imagine. The comparison of these two famous composers is just one lesson in a unit that investigates many facets of the music industry...

How do you put something as large as the universe in perspective? Use a series of scale experiments. Classmates collaborate around four experiments to examine the scale of the earth-moon system, our solar system, the Milky Way galaxy,...

Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.

Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish. 

Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...

Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...

Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...

Find the location of enemy submarines with a sonar display that doubles as a polar coordinate system. Pupils find polar coordinates that would be the same location of plotted submarines. They then determine multiple polar...

The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...

Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...

Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...

View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...

Sometimes the best view is from the farthest distance. Satellite imaging makes it possible to create altitude maps from far above the earth. A three-part activity has your young scientists play the role of the satellite and then use...

Scientists could measure the diameter of the sun before they knew its distance. Scholars construct a simple mirror box to measure the diameter for themselves. They compare this measurement with the official size, listed in a...

Analyzing and interpreting satellite data takes knowledge and patience. Through a detailed lab investigation, young scholars learn the process of analyzing this data. They use technology to create color images and maps from real...

What happens to stars as they get older? A simulation takes pupils through the life cycle of stars based on their masses. The resource introduces the Hertzsprung-Russell diagram and the common relationships and life cycle patterns observed.

Scientists classify everything from the smallest cells to the largest galaxies, but how do they decide on a classification system? Scholars use 40 pictures of galaxies taken by the Hubble Space Telescope to sort and try creating their...

Henri-Louis Le Chatelier wrote many papers throughout his 85-year life, but he is remembered for one of his earliest discoveries, now known as Le Chatelier's Principle. The final lesson in an 11-part series encourages young chemists to...

Stoichiometry sounds complicated, but it really means the study of the amount of substances involved in a reaction. The sixth lesson in an 11-part series has scholars use stoichiometry to find the theoretical yield of a reaction. Then,...

As a star ages its composition, size, and temperature change. Using an interactive simulation, learners explore these changes over the lifetime of a star. They see the change in temperature and luminosity graphically and a visual...