Fractions with Tangrams

Name ______

Period ____ Date ______

Fractions with Tangrams

Follow the folding and cutting directions carefully. Answer each question as you go through each step of the activity.

1)  Fold the square along the diagonal and divide into two pieces by cutting along the fold. Label one A and one B.

a)  What is the geometric name for the polygons A and B? ______

b)  Each polygon is what fractional part of the original square? ______

2)  Pick Polygon A. Fold it as shown so that the two congruent polygons result. Cut along the fold and label the polygons 1 and 2.

a)  What is the geometric name for polygon 1? ______

b)  What is the geometric name for polygon 2? ______

c)  Polygon 1 is what fractional part of polygon A? ______

d)  Polygon 1 is what fractional part of the original square? ______

3)  Locate the midpoint of the longest side of Polygon B. Fold the vertex of the right angle to match the midpoint of the longest side and crease the paper on a line as shown. Cut along the fold to divide into two pieces and label as C and 3 as shown.

a)  What is the geometric name for polygon C? ______

b)  What is the geometric name for polygon 3? ______

c)  Polygon 3 is what fractional part of polygon 1? ______

d)  Polygon 3 is what fractional part of polygon A? ______

e)  Polygon 3 is what fractional part of polygon C? ______

f)  Polygon 3 is what fractional part of the original square? ______

4)  Using polygon C, fold one of the endpoints of the longest side to the midpoint of that side. Crease sharply and cut along the fold. Label the resulting polygons D and 4 as shown.

a)  What is the geometric name for polygon D? ______

b)  What is the geometric name for polygon 4? ______

c)  Polygon 4 is what fractional part of polygon 3? ______

d)  Polygon 4 is what fractional part of polygon 1? ______

e)  Polygon 4 is what fractional part of polygon A? ______

f)  Polygon 4 is what fractional part of polygon D? ______

g)  Polygon 4 is what fractional part of polygon C? ______

h)  Polygon 4 is what fractional part of the original square? ______

5)  On Polygon D, fold the vertex of the right angle at one endpoint of the shortest of the parallel sides to match the other endpoints as shown. Crease paper and cut along the fold. Label the resulting polygons E and 5 as shown.

a)  What is the geometric name for polygon E? ______

b)  What is the geometric name for polygon 5? ______

c)  Polygon 5 is what fractional part of polygon D? ______

d)  Polygon 5 is what fractional part of polygon 4? ______

e)  Polygon 5 is what fractional part of polygon 3? ______

f)  Polygon 5 is what fractional part of polygon C? ______

g)  Polygon 5 is what fractional part of polygon E? ______

h)  Polygon 5 is what fractional part of polygon 1? ______

i)  Polygon 5 is what fractional part of polygon A? ______

j)  Polygon 5 is what fractional part of the original square? ______

k)  Polygon D is what fractional part of polygon E? ______

l)  Polygon D is what fractional part of polygon 5? ______

m)  Polygon D is what fractional part of polygon 1? ______

n)  Polygon D is what fractional part of the original square? ______

6)  On Polygon E, fold the vertex of the right angle on the longest parallel sides to match the opposite vertex as shown. Crease the paper on the fold. Cut and label the last two polygons 6 and 7 as shown.

a)  What is the geometric name for polygon E? ______

b)  What is the geometric name for polygon 7? ______

c)  Polygon 6 is what fractional part of polygon E? ______

d)  Polygon 6 is what fractional part of polygon A? ______

e)  Polygon 6 is what fractional part of polygon D? ______

f)  Polygon 6 is what fractional part of polygon 3? ______

g)  Polygon 6 is what fractional part of polygon 7? ______

h)  Polygon 6 is what fractional part of polygon C? ______

i)  Polygon 6 is what fractional part of polygon 5? ______

j)  Polygon 6 is what fractional part of the original square? ______

k)  Polygon E is what fractional part of polygon D? ______

l)  Polygon E is what fractional part of polygon 3? ______

m)  Polygon E is what fractional part of polygon C? ______

n)  Polygon E is what fractional part of polygon 1? ______

o)  Polygon 7 is what fractional part of polygon E? ______

p)  Polygon 7 is what fractional part of polygon 1? ______

q)  Polygon 7 is what fractional part of polygon 4? ______

r)  Polygon 7 is what fractional part of polygon 3? ______

s)  Polygon 7 is what fractional part of polygon 5? ______

t)  Polygon 7 is what fractional part of polygon C? ______

u)  Polygon 7 is what fractional part of polygon A? ______

v)  Polygon 7 is what fractional part of polygon D? ______

w)  Polygon 7 is what fractional part of the original square? ______