In this activity we explored periodic parametric curves. We particularly studied the patterns that arise when you change the periods of the $x(t)$ and $y(t)$ coordinates. To start playing around with parametric curves, you will need geogebra. Then you can use the following link to download our geogebra worksheet!
Bart and Lisa compete in a two-day spelling contest. On the first day, Lisa gets a higher percentage right than Bart. And on the second day, Lisa gets a higher percentage right than Bart. So why did Bart win?? Continue reading Bart vs Lisa vs Fractions→
It is often necessary to add more than two numbers together. For example, you might have made 137 deposits to your bank account this year, and wonder how much you contributed in total. But is it possible to add infinitely many numbers together? The answer is that sometimes it is possible, and sometimes it isn’t! In this discussion we investigated when, why, and how! Continue reading Adding together infinitely many numbers→
A circle has a center c and a radius r. The points on the circle are all a distance of exactly r units from c. What if we start with two fixed center points? The set of points on an ellipse have a fixed sum-distance to two center points c1 and c2 (called foci). An ellipse has kind of an oval shape. Ellipses occur in nature – the Earth’s orbit is not a perfect circle but rather an ellipse, with the Sun being just one of the two foci.
In this activity we investigated how to draw ellipses using pushpins and string. We also asked whether it is possible to have more than two fixed center points. Continue reading Ovals upon ovals!→
Suppose you are sending a crew of scientists to the moons of Mars: Phobos and Deimos. The scientists are botanists, geologists, and mathematicians, or any combination of the three. You want to divide the crew into to halves so that each moon gets an equal number of each scientists. When can this be done? Continue reading Mars moon mission→
The card game SET is well-known amongst game players. Each card has four characteristics, and each characteristic has three outcomes. Twelve cards are placed face up, and players try to find a set of three cards with each characteristic all the same or all different. It turns out there is a lot of math going on! For example, are twelve cards enough to guarantee you will be able to find a set? If not how many do you need? Continue reading The game SET→