MAT 136 Exam 2 ELABORATIONS QUESTIONS
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Terms in this set (7)
1. cut out 3-5 cardboard circles of various sizes, with
he center marked on each
2. for each circle, measure the diameter and the
circumference. (to measure the circumference, roll the
circle along a ruler or meter stick, or if the circle is cut
from thick cardboard or foam board, lay a string
around the circumference and then pick up the string
Discovery approach for
and measure it by using the ruler or meter stick.)
determining the value of
3. for each circle, take the diameter and the
pi
circumference results and, on a calculator, divide the
circumference by the diameter (c/d)
4. show that, no matter the size of the circle, the result
will always be close to 3.14
state that we have a special name for this c/d
relationship; we call it pi
therefore the approximation for pi is 3.14
, 1. cut out a cardboard parallelogram in which each
base is labeled b
2. in the interior of the parallelogram, draw the height
(labeled h) with one endpoint at a parallelogram
vertex
3. cut out this height
Discovery approach for
4. show the children that you have cut off a triangle
determining the area of a
5. move the triangle tot he other end of the figure
parallelogram
6. state that you have now formed a rectangle with
length=b and width= h
7. say that since the rectangle's area is length (b in the
model) x width (h in the model) and the rectangle was
formed from the parallelogram, then the area of the
parallelogram is b x h
1. cut out a cardboard rectangle with length 5 inches
and width 3 inches. note that these exact dimensions
do not have to be used.
2. cut out several small "square inches"- little squares,
each with length of 1 inch and width of 1 inch
3. cover the index card rectangle with 15 of these
square inches
discovery approach for 4. discuss that, since area refers to the number of
determining the area of a square inches that it takes to completely cover a
rectangle geometric shape, the area of this 3 x 5 rectangle is 15
square inches
5. say that instead of actually covering our rectangle
with squares, and then counting the number of
squares, we could have multiplied 5 times 3 to obtain
15 square inches
6. state that we therefore can simply multiply length x
width to obtain the area of a rectangle. (A=LxW)
AND VERIFIED ANSWERS 2025 UPDATE | 100%
SOLVED!!
Save
Terms in this set (7)
1. cut out 3-5 cardboard circles of various sizes, with
he center marked on each
2. for each circle, measure the diameter and the
circumference. (to measure the circumference, roll the
circle along a ruler or meter stick, or if the circle is cut
from thick cardboard or foam board, lay a string
around the circumference and then pick up the string
Discovery approach for
and measure it by using the ruler or meter stick.)
determining the value of
3. for each circle, take the diameter and the
pi
circumference results and, on a calculator, divide the
circumference by the diameter (c/d)
4. show that, no matter the size of the circle, the result
will always be close to 3.14
state that we have a special name for this c/d
relationship; we call it pi
therefore the approximation for pi is 3.14
, 1. cut out a cardboard parallelogram in which each
base is labeled b
2. in the interior of the parallelogram, draw the height
(labeled h) with one endpoint at a parallelogram
vertex
3. cut out this height
Discovery approach for
4. show the children that you have cut off a triangle
determining the area of a
5. move the triangle tot he other end of the figure
parallelogram
6. state that you have now formed a rectangle with
length=b and width= h
7. say that since the rectangle's area is length (b in the
model) x width (h in the model) and the rectangle was
formed from the parallelogram, then the area of the
parallelogram is b x h
1. cut out a cardboard rectangle with length 5 inches
and width 3 inches. note that these exact dimensions
do not have to be used.
2. cut out several small "square inches"- little squares,
each with length of 1 inch and width of 1 inch
3. cover the index card rectangle with 15 of these
square inches
discovery approach for 4. discuss that, since area refers to the number of
determining the area of a square inches that it takes to completely cover a
rectangle geometric shape, the area of this 3 x 5 rectangle is 15
square inches
5. say that instead of actually covering our rectangle
with squares, and then counting the number of
squares, we could have multiplied 5 times 3 to obtain
15 square inches
6. state that we therefore can simply multiply length x
width to obtain the area of a rectangle. (A=LxW)
