My Star POW

By,Andrea Wilkinson A2

Question:

* How many triangles and polygons can I find in a six sided star?

* Plan:* I plan to make a six sided star and trace it six

times on a piece of paper. I took a picture of my paper and saved it on my computer. I copied the page into “paint”. I numbered each shape I found. For each triangle or polygon I find, I will out line them in different colors. I will make a chart of my findings. I will also use a protractor to measure my angles.

Polygon:

A closed flat shape with straight sides.

Polygons:Not polygons:

Jan 14 2008

Using the  six sided star in the poster in class you must first determine how many total triangles of different sizes there are. Then show what other regular polygons are also found within the star. In your solutions I should find a chart showing how many of each type there are.  You may also repeat the star

pattern and color in different shapes to show your results.  In your comment you should use geometric terms and

measurements  of angles. I should see a pattern in how many degrees are in each shape.  Do you see the pattern?  Can you make a conjecture about how many degrees are in a particular

polygon?

Mrs. Green’s directions

Big Trapezoids 6 big Trapezoid

1. 2. 3.

4. 5.

6.

1st page of little Trapezoid.

1.2.

3.

4.

5.6.

Little Trapezoids

7.8.

9.

10.

11.12.

2nd page of little Trapezoid

3rd page of little Trapezoid.

13.

14.15.

16.

17.

18.

1. 2.

3.

4.5.

6.

Medium Trapezoid

12 Tiny Trianglesand 2 Large Triangles

1. 2.

3.

4.5.

6.

7. 8.

9.

10.11.

12.

1. 2.

Medium Triangles

1

2

3

4 5

6

1st page of little diamonds

1.3.

4.5.

6.

2.

I messed up. Look at the black diamond on this box only.

2nd page of

little diamonds

7.

8.

9.

10.

11.12.

Hexagon and 1st page of medium polygon

1 2

3

1

4

5

2nd page of polygon

6

78

910

10

Chart

10

Degree of angles

• Rhombus- top was 120* on both vertex of the top and 60* at both vertex on the bottom.

• Triangle-(all triangles) All are equilateral triangles and all corners have a 60* angle.

• Diamonds- Two obtuse which are 120* and two acute which are 60*.

• Polygon- Two obtuse which are 120* and two acute which are 60*.

Comment

I found that there is a lot of shapes in a six sided star. I also found that there are not too many big shapes compared to little shapes. I also saw that it takes a while to find all of them and right when you think your done you find another. I found out that most of the shape's totals were multiples of six. The number of polygons in a six sided star is 10 which is not a multiple of six. The large trapezoid has a hexagon in it and two extra triangles. The diamonds and the rhombus were the same measurements. They both had two 60* and two 120*, from that I noticed that 60*+60*= 120*!!! Each acute angle in the diamond and the rhombus is half the obtuse angles. Also with the polygon.

Other six pointed stars:

BoomerangPolice badge doilies

targets

StarsI rate this problem a 8 because it was kind of hard, but not bad.

Thanks for watching!!!!