My name is Jason Gray. I am a senior at Aurora University and I am looking to design a unit around Real-life Geometry for a high school class. By this I mean that I want to figure out some good lessons that answer the questions that every student has, “When am I ever going to use this in the real world?” So far, I have thought about teaching area and perimeter using blueprints for houses (let them see they can dissect a trapezoid into a rectangle and 2 triangles for instance). I also found a cool lesson on teaching ellipses by using the shell of an egg cut from bottom to top. I was also looking at adding trig functions. I just think it would be a fun unit to show students that math can really be used in the real world every day, whether they see the engineering that had to be used on every item in a room or they can cut an angle into a piece of wood to fix a piece of flooring. Any and all ideas are welcome on this because I obviously need a little more definition of what I am going to include in this unit. Having all things that relate geometry to the real world could count as a whole course if not two, so any direction of where I could go or lessons I could add would be GREATLY appreciated!! Thanks so much for your help and your time.
Consider interviewing your students or having them submit writing about various aspects of their lives. You'll be surprised how many individual real-world situations involving geometry arise from everyday life. The example I like to use: Grandpa has a stroke and is wheel-chair bound and the family is taking him in. They need to build ramps to make the home wheel-chair accessible. You do the math. ;^)
Thats a great idea. Oddly enough, I built a ramp and used trig to build a ramp for my grandpa when he had to be pushed around a wheelchair. I wonder what else students can come up with. Thanks Michael!
This is cool. Obviously this goes hand in hand with Phils unit but I could definitely try to condense this to make it into maybe a one week project. This is just a good project because it encompasses many trig properties and geometric shapes as well as promotes a cooperative learning environment.