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In this lesson students will use their basic understanding of circles to learn how circular structures are built. The example shown is that of the Roman Colosseum. Students will construct an oval shape from circular arcs to simulate the elliptical shape of the Roman Colosseum.

As the size of a circle changes, so does the size of the diameter and that of the circumference. In fact, there is a linear relationship between these two measures. This relationship can be modeled with a linear function. In this module students will study this linear function and examine its properties, including the fact that the slope of this function is π itself.

Have you noticed how wrinkled an elephant's skin is? What purpose does it serve and what does math have to do with explaining this phenomenon? Well, the explanation for an elephant's wrinkled skin is almost entirely a math story. 

Why are castles so tall? In this module students explore indirect measurement by seeing how simple angle measure, height measurements, and tangent ratios can be used to calculate distances. The context of castles provides a historically relevant military purpose for the tallness of castles.

Turn the Halloween season into an opportunity to do some math activities! In this module, you'll find a clever collection of arithmetic, algebra, and geometry activities. This module includes video, hands-on activities, and games.

In this module explore reflection and symmetry in the context of Leonardo Da Vinci's mirror writing. Many of Da Vinci's handwritten notes were written in reverse script that could only be read correctly in a mirror. This provides an opportunity to explore geometric reflections, but also the symmetric properties of certain letters of the alphabet.

The Archer Fish earns its name because it accurately sprays jets of water at insect prey, knocks them into the water, and has a quick meal. The ability to accurately do this has to overcome several geometric and physical challenges. In this module students explore these challenges in more detail.

In this module students use their geometry and algebra skills to analyze a wildlife refuge in Nevada. Calculating the area, perimeter, and the ratio of the two allows students to analyze different configurations for a refuge. Specifically, they look at ways of designing a wild horse refuge, using the concepts they have learned. 

In this module, students analyze the geometric properties of road signs. This includes studying triangular, quadrilateral, and other polygon forms in such familiar signs as the stop sign, the yield sign, and many other examples.