Connecting Geometry

Project List

Ch 1 Photo Project: Find a picture on the internet (or scan one from a book or magazine) that appears to contain lines, points and angles, like the bridge picture on the website in chapter 1. Paste your picture into a Geometer's Sketchpad file. Draw each of the 6 basic geometric elements on top of the picture, and label them as shown in the example on the website in chapter 1.

Ch 2 Graphics Project: Create a symmetrical geometric design, with compass and ruler, or using geometry software. Begin by constructing a simple geometric shape (a triangle, for example) and then repeat the shape in a symmetrical pattern. an example is shown on the website in chapter 2. You can experiment with colors, and create a beautiful design. If you have access to a paint program, such as SuperPaint, very beautiful effects can be created by copying and pasting a black and white line drawing from GSP (hide the points first) into the paint program, and then painting the design in the paint program where you have many color and effects options.

Ch 3 Research Project: Do some research of your own on the internet, on the History of Geometry. I would suggest you begin with the links on the website in chapter 3, to get warmed up. Then do a Net Search using Geometry as the Key Word. Write a 2 to 3 page report on what you discover. Please do not just copy and print pages off the internet. You should search, read what you find, think about it, and write a summary/discussion of what you find. You may include direct quotations (a few sentences or even a paragraph), but be sure to put these portions in quotation marks, and include the web addresses to give credit to your sources as was done on the website in chapter 3. You should include some images, but if you copy the images from the internet, you must give credit as was done on the website.

Ch 4 Tangrams Project: Design your own tangram challenge, using a ruler and compass, or geometry software. Create a second page with the solution to your challenge.

Ch 5 Origami Project: Fold a square piece of colored, good quality paper, to create an interesting Origami. It can be anything you like: an animal, a bird, or just an abstract three-dimensional shape. Then create a step-by-step set of instructions that someone else could follow. You may look at the step-by-step examples that you saw on the web pages using the links in chapter 5, but use the "cricket" example on the website for chapter 5 to guide you, using geometric terms to describe the steps. Your instructions do not have to be as complicated as the cricket example.

Ch 6 Spiral Project: Write an illustrated report 2-3 page report on any one of the Right Triangle, Sequences, or Spirals topics in chapter 6 on the website. Your report can be written using information you found on the internet and/or books. Keep in mind that this report must be your own work, and not just copied and pasted from the web. If you do use a sentence or two of someone else's work, be sure you include their name and the name of their book or web page to give them credit.

Ch 7 Drawing Project: Learn more about 3-D drawing by going to the Math Forum website and reading all the pages at http://www.forum.swarthmore.edu/workshops/sum98/participants/sanders Then do the following two things as your Project: 1) Find a picture of a building on the internet. (You might strat with a net search using the word "architecture") Be careful to choose a picture in which you can see the lines vanishing as in the examples on the forum website above, as if towards Vanishing Points. Your assignment is to use a pencil and ruler (or geometry softward) to draw a simple building or buildings, of your own design, in perspective.

Ch 8 Tessellation Project: Create a tessellation of your own, using the method described in the web pages. Start with a square or hexagon, and create an interesting shape as descrived in the web pages. Use tracing opaper to trace your shape, and create a tessellation.