Three different design projects are described below, each taken from a real life example. During the first month of class we will be discussing how (and why) these projects might be adapted for use in your classroom.
Week 1: Describe how you would make a pattern for use in one of the projects below. Include an accurate scale drawing of the finished product. Be sure that your technique for constructing the pattern is practical; some angle measures must be given for each polygon, in addition to all edge lengths. If your design requires a circular arc, describe how you would construct that arc in your pattern.
Week 2: List the topics that could be taught using the project you chose (e.g. opposite angles are equivalent, the law of cosines, the use of ratios in scale drawings). Sort these topics according to the areas listed in the NCTM Standards document (Number and Operations, Algebra, Geometry, etc.).
Week 3: The assignment for week 1 required you to make both design decisions and decisions about the best way to approach the problem. While this is appropriate in a high level college course, it will not work in your average middle school classroom. How would you modify this assignment for use in your own classroom?
Week 4: These projects combine topics from geometry, algebra, trigonometry, and art. What class would you use yours in? Would you use it as an end-of-year project, introduce it at the start of the year and return to it periodically, assign it as homework, or complete it during a single class period? Would you be willing to use this in a cross-curricular project with a history, vocational or art class? If so, how would you go about that? If not, why not?
Design a quilt pattern based on the diagram below.
Shown below is a stylized image of six faces of the honeycomb coming together at a vertex. Design a quilt based on this image.