Geometry Class Description
Geometry is a little different than other math classes. One thing that many students find they like is that geometry is less abstract and more visual than algebra - easier to 'see' what is going on in the problems. It is structured a little differently as well, and is really a mix of two kinds of topics.
1) Practical, real-world measurement and shape problems - About 1/3 of the class concerns what people usually picture when they think of geometry. Topics like area, perimeter and volume, measuring angles, and using triangles to find the heights of tree and buildings are just a few of the kinds of problems we will explore. These kinds of problems are designed to show students ways in which they can use math 'in their own backyard'.
2) Learning how to solve problems in general - 'Mental Weightlifting' - About 2/3 of the class covers problems that are not designed to necessarily be directly usable in the real world, but are instead constructed as exercises so students can explore and practice the process of solving problems in general. During the first semester, we spend a significant amount of time on proofs and logic, which helps students consider how we know the things we know, and how to build on knowledge we've learned before. We also work on many problems which are more like 'puzzles' in that there is often more than one way to a correct solution. We work on these kinds of problems in order for students to practice their general problem solving skills.
I call this 'mental weightlifting' because it serves the same purpose as weightlifting does for the body. When we lift weights, we are not lifting a weight for a directly practical reason (in order to move it somewhere - we often just put it back exactly where it started.) But by lifting weights, we build our muscles so that our muscles are ready later to more easily do real, practical work. In the same way, although many of the problems we work on in geometry class do not have direct real-world applications, when we build our brain's ability to problem solve, we become good at solving problems in general. People who can solve problems in real life rise to the top of every situation.
Most students find that geometry is very manageable and are able to do well, especially if they keep the following in mind:
- Complete all assigned work: You need to be willing to just devote a little time to homework and use it for its intended purpose: to practice the skills we learned in class and to help you find out if there is something you don't yet understand. Complete each and every assignment to the best of your ability, and ask questions about anything you do not understand. Remember, your achievement is directly related to your own effort!
- Being prepared: Bring all materials needed, including your homework, class notes, and a pencil to class every day.
- Do not get behind: If you are having trouble, ask someone for help, either your teacher, a classmate, or someone at home. Take advantage of the free math tutoring provided in the classroom or the math office before/after school every school day. Make sure and do all the homework when it is first assigned, and ask questions when you don't understand in class or during tutoring.