The purpose of this task is to give students practice constructing functions that represent a quantity of interest in a context, and then interpreting features of the function in the light of that context. It can be used as either an assessment or a teaching task.

The primary purpose of this task is to lead students to a numerical and graphical understanding of the behavior of a rational function near a vertical asymptote, in terms of the expression defining the function. The canoe context focuses attention on the variables as numbers, rather than as abstract symbols.

The purpose of this task is to use finite geometric series to investigate an amazing mathematical object that might inspire students' curiosity. The Cantor Set is an example of a fractal.

Canva is a free-to-use online graphic design tool. Use it to create social media posts, presentations, posters, videos, logos and more.

This short video and interactive assessment activity is designed to teach second graders about capacity comparison problems with illustrations - word problems.

This short video and interactive assessment activity is designed to teach fourth graders about finding the amount of water with illustrations and calculations (metric units).

This short video and interactive assessment activity is designed to teach third graders an overview of capacity IIi (metric units).

This short video and interactive assessment activity is designed to teach second graders about capacity problems with illustrations - word problems.

As part of a (hypothetical) challenge to help a city find the most affordable and environmentally friendly way to clean up an oil spill, students design and conduct controlled experiments to quantify capillary action in sand. Like engineers and entrepreneurs, student teams use affordable materials to design and construct models to measure the rate of capillary action in four types of sand: coarse, medium, fine and mixed. After observing and learning from a teacher-conducted capillary tube demonstration, teams are given a selection of possible materials and a budget to work within as they design their own experimental setups. After the construction of their designs, they take measurements to quantify the rate of capillary action, create graphs to analyze the data, and make concluding recommendations. Groups compare data and discuss as a class the pros and cons of their designs. Pre- and post-evaluations and two worksheets are provided.

In which John Green teaches you about capitalism and socialism in a way that is sure to please commenters from both sides of the debate. Learn how capitalism arose from the industrial revolution, and then gave rise to socialism. Learn about how we got from the British East India Company to iPhones and consumer culture in just a couple of hundred years. Stops along the way include the rise of industrial capitalism, mass production, disgruntled workers, Karl Marx, and the Socialist Beard. The socialist reactions to the ills of capitalism are covered as well, and John discusses some of the ideas of Karl Marx, and how they've been implemented or ignored in various socialist states. Plus, there are robots!

In which John Green teaches you about the Vereenigde Oostindische Compagnie, doing business as the VOC, also known as the Dutch East India Company. In the 16th and 17th centuries, the Dutch managed to dominate world trade, and they did all through the pioneering use of corporations and finance. Well, they did also use some traditional methods like violently enforced monopolies, unfair trade agreements, and plain old warfare. You'll learn how the Dutch invented stuff like joint stock corporations, maritime insurance, and futures trading. Basically, how the Dutch East India Company crashed the US economy in 2008. I'm kidding. Or am I?

In the exploration of ways to use solar energy, students investigate the thermal energy storage capacities of different test materials to determine which to use in passive solar building design.

This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil on canvas, c. 1599-1600 (Contarelli Chapel, San Luigi dei Francesi, Rome).

This art history video discussion examines Caravaggio's "Crucifixion of St. Peter", oil on canvas, 1601 (Santa Maria del Popolo, Rome).

This art history video discussion examines Caravaggio's "Death of the Virgin," 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musee du Louvre, Paris). Painted for the altar of a family chapel in the church of Santa Maria della Scala del Trastevere, Rome.

This art history video discussion looks at Michelangelo Merisi da Caravaggio's "Narcissus at the Source", oil on canvas, 1597-99 (Palazzo Barbarini).

This art history video discussion examines Michelangelo Merisi da Caravaggio's "The Supper at Emmaus", 1601, oil on canvas (National Gallery, London).