Find out how this might be the most difficult high school math problem you've ever seen! In this project, you'll explore the mathematics of parallels and perpendiculars. This includes working with angles, circumferences, and lengths. You'll not only learn about these terms in a practical sense, but also define them for yourself. In order to give you a thorough understanding of what it means to be parallel or perpendicular to an object, we're going to work through a few hands-on activities that will allow you to experience these concepts firsthand while improving your problem solving abilities along the way. In order to carry out this project, you're going to need a few simple materials: Algebraic Notation: Writing on the board will be the primary means of communication between you and your team. Because there are multiple members on your team, it's important that you're able to use algebraic notation when writing out problems for each other. You can find an online guide that will teach you how to do this well in advance of the upcoming project. Measuring Tape: Although it would be nice if we could simply provide you with a ruler, the fact of the matter is that not every classroom environment has access to them. Of course, you could always use a piece of string or cut your own ruler if necessary. Protractor: You might be wondering why we don't simply use a protractor to measure the angles between objects. When measuring angles, it's important to make sure that you're using an accurate protractor, and not just some kind of makeshift tool that you have at your disposal. There's a reason why every high school student is required to have one on hand at all times. Stopwatch: You'll use this tool to measure the amount of time it takes for an object to reach a certain point after being dropped from a given height. Drawing Pad: This will be useful during the Euclidean geometry segment of your project. You'll need something to draw on so that you can sketch out all of the diagrams on paper instead of on-screen. Pencils: For some reason, it seems that most people tend to forget about these very basic tools when they're preparing for this kind of project. You can't just write equations onto the board with your finger! Balloons: Balloons are more than just party decorations - they're also an important piece of equipment when conducting some simple experiments with objects in free fall. Scissors: You'll need these to cut the balloon, so they're definitely important! Rubber Bands: Rubber bands are great for holding things in place, but they're especially useful when conducting free-fall experiments. They'll allow you to restrict the movement of weightless objects so that they can come to rest after hitting a given point on a surface (usually ground). Start by drawing an elbow on your protractor. Then, measure the angle that it makes with respect to the horizontal line. This will be your first proof of concept experiment. Now start by writing this proof on the board.
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