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1
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2
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3
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4
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Right triangle Investigation
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Student found the areas
for 1/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student found the areas
for 2/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student was able to
find the area of the squares but did not find the side
lengths or take the square roots.
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Student found the areas
of the sides of the triangle by creating triangles and
squares, and used this information to find the square
roots in order to find the side lengths.
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Acute Triangle Investigation
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Student found the areas
for 1/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student found the areas
for 2/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student was able to
find the area of the squares but did not find the side
lengths or take the square roots.
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Student found the areas
of the sides of the triangle by creating triangles and
squares, and used this information to find the square
roots in order to find the side lengths.
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Obtuse Triangle
Investigation
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Student found the areas
for 1/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student found the areas
for 2/3 of the square sides, but did not find them all,
which inhibited them from finding the square roots
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Student was able to
find the area of the squares but did not find the side
lengths or take the square roots.
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Student found the areas
of the sides of the triangle by creating triangles and
squares, and used this information to find the square
roots in order to find the side lengths.
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Task card: Discovering
the Pythagorean Theorem
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Student did not attempt
to find the relationship/relationship was incoherent.
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Student was not able
to find an accurate relationship that existed between
the sides and the areas of the sides of the triangles
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Student was able to
look at the table and visuals that they created in order
to recognize the relationship between the side lengths
and the areas of the squares to discover the Pythagorean
theorem. They were not able to tell if this relationship
was exclusive to right triangles
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Student was able to
look at the table and visuals that they created in order
to recognize the relationship between the side lengths
and the areas of the squares to discover the Pythagorean
theorem. They also found that it only worked for right
triangles.
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BONUS: Creating
their own triangles
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Student created one
more triangle of their own to further investigate this
theory. + 2 pts
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Student created two
triangles of their own to further investigate this theory.
+ 5 pts
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Student created all
three triangles of their own to further investigate
this theory. +10 pts
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Total---->
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