Using a compass and straight edge construct this theorem. Through a point outside a line, there is exactly one line perpendicular to the given line.
Here is the construction of corresponding angles to create a parallel line through a point and parallel to a given line.
At Arapahoe all of my students have their own computer, and so giving an assignment out of a text seems pointless. Especially when there is Excel, Google Docs, Google sketchup, Google Earth ,the internet, Geogerba, and a host of other computer based technologies that I should be using instead.
So I set up my assessments first, based on the local, and state curriculums. How I progress my students through my assessments came from Dan Meyer and his blog dy/dan. I hope I can work in some of his patient problem solving problems along the way and create some problems that come from good story telling. Geometry is where I begin. For the most part my assignments will have four main parts. An ACT or standardized test prep question or two, a Geogebra construction problem, practice of the concept (this may include an algebra connection of some kind), and a patient problem solving problem according to Dan Meyer. (Sorry for the oversimplification UNL) At UNL these are called Habits of Mind problems. A problem that relates the concept of the day to mathematical experimentation. I probably won’t do as well as Dan or UNL, but will be trying to fit problems with my students and what I feel they need to be successful citizens in the future. The Moodle page where all of this will be slowly coming together is at Arapahoe Geometry http://moodle.esu11.org/course/view.php?id=7. Enter and agree to terms. I have concept 1 done, and have started on concept 2. I will be using several texts as guides, as well as geogebra and any and all of the internet. Most content and problems I will create myself. But feel free to take a look and critique and add suggestions. I just know that next year, I will feel like a total failure if we crack a book. I want everything to come from our new digital world. Wether I made it or organized it for them to easily find. One down approximately 59 to go.