Sunday, April 1, 2012

Week 2: Polygons

Our second week connected the dots and formed shapes. Identifying polygons is a fundamental part of Geometry, and so I wanted to make this extra credit establish a stronger foundation of what polygons we will be looking at. If you need review, here's an awkward youtube video that will go through the general list of polygons (try not to laugh, I had a difficult time trying to keep a straight face).

The extra credit assignment for this week is to see how some polygons can create other polygons. This will be extremely helpful for when we cover areas and volumes later on in the year. What better way to do so than by using toothpicks? Toothpicks are not only great for removing leftovers in between your teeth, but also for constructing polygons, and the best part is that you can recycle them as many times as you want!
This picture is an example of what I am looking for. What polygons can be made up of triangles (or a better question is are there any polygons that cannot be made up of triangles)? What about quadrilaterals and triangles?

This week's extra credit is simple: draw 2 distinct examples (looking like toothpicks as shown above) of how polygons can make up each polygon from a triangle to an octagon (yes this includes the pentagon and heptagon). In other words, I want 2 examples of how a triangle can be constructed from two or more polygons, 2 examples of how a quadrilateral can be constructed, 2 examples of a pentagon, etc etc... If you do not have toothpicks at home, or want to try something different, then check out this link.


This week's goal:
  • Be able to identify different polygons
    • What's the difference between equilateral, isosceles, and right triangles?
    • What are all the different types of quadrilaterals?
    • Can you describe an octagon without drawing one?
  • Find how polygons can be constructed by other polygons

 Due date:
  • the list of examples of polygons inside of other polygons is due on test day, which is next week's Friday
Don't forget to review what we've already learned so you can be ready for Friday's test!

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