ok so i am really confused on my assignment. So What we are suppose to do is take pattern blocks (a triangle, square, hexagon, rhombus, trapazoid, and small rhombus) and see how many can go around a central point. I figured out that there are 6 possible solutions for a triangle, 4 solutions for a rhombus, 4 solutions for a square, 3 solutions for a hexagon, 4 solutions for a trapazoid, and 4, 8, and 12 solutions for the small rhombus. What I am having trouble on is the discussion questions. I answered a few but I am still kind of confused by some.
On Question 1 the question says which blocks offer a unique solution and why. I think the answer is the tan blocks (small rhombus) offer a unique solution because it can have 4,8, and 12 solutions while the others can t. Is that right?
On Question 2 it says why are the tan block solutions only multiples of 4? I think that the reason the tan block solutions can be multiples of 4 is because it is four sided but Im not sure if thats right.
On Question 3 it says explain why the blue and red blocks are interchangable for the purpose of this assignment. im confused as to why the red and blue blocks can be interchanged for this activity
on question 4 it says how can you figure out the angle measurement of the pattern blocks knowing that there are 360 degrees around a point.
Lastly question 5 says what are some pedagogical advantages of engaging students in this kind of activity.
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