Probability as a branch of mathematics measures how likely an event is to occur. In this video, we'll define theoretical probability as a ratio, and then we'll look at complementary events. Duration: 10:30
Did you know there is an entire branch of mathematics devoted to counting stuff? It's called combinatorics, and you got your first peek at it in the seventh grade when learning about the Multiplication Principle. Duration: 6:51
Rates describe how a quantity is changing over time, and you probably remember learning about slope as a rate of change. In this video, we are using rates as a gateway to discussing the importance of units and a novel approach to converting units, which our Science Department refers to as train tracks. Duration: 13:50
Composite figures, as the name implies, are composed of multiple shapes, like triangles, rectangles, and squares for example. When finding the area of a composite figure, you basically have two strategies: adding together the areas of each composite shape or subtracting away a missing pieces. These two examples can be used to illustrate both of those methods. Duration: 8:42
If you have ever unfolded a pizza box and laid the entire thing flat, then you know what a net of a 3D solid is. Now imaging finding the area of each composite shape on that box and adding them up. You have just found the total surface area of that pizza box, which is basically a rectangular prism. That is exactly what the next set of questions is asking you to do. The only question that remains is are you the type of person who eats the crust on that pizza, or are you the type who tosses the crust back into the box like bones into unconsecrated and unmarked grave? Duration: 5:10
In this activity, I skillfully match a rubbery, red net with a variety of 3D solids. As much as they may resemble a delicious fruity snack, please refrain from attempting to digest one of them. Just ask [redacted], one of my hungry freshmen from last year. Duration: 4:42
If you prefer something more interactive than the above net matching video, try the webpage embedded below. start by clicking the Net of a Square link on the left side of the screen. From there, you can click the play button on the lower left corner of the animation or drag the Net slider next to the play button. Now click the Net of a Cone link and repeat the above investigation. Finally, click the rest of the links and do a bit of exploring. Stay away from the Triangular Prism Net link, as that one is decidedly detestable.