MAT 136 Exam 2 ELABORATIONS QUESTIONS AND
VERIFIED ANSWERS 2025 UPDATE | 100% SOLVED!!
Discovery approach for determining the value of pi - (answers)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 and measure it by using the ruler or meter stick.)
3. for each circle, take the diameter and the 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
Discovery approach for determining the area of a parallelogram - (answers)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
4. show the children that you have cut off a triangle
5. move the triangle tot he other end of the figure
6. state that you have now formed a rectangle with length=b and width= h
VERIFIED ANSWERS 2025 UPDATE | 100% SOLVED!!
Discovery approach for determining the value of pi - (answers)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 and measure it by using the ruler or meter stick.)
3. for each circle, take the diameter and the 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
Discovery approach for determining the area of a parallelogram - (answers)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
4. show the children that you have cut off a triangle
5. move the triangle tot he other end of the figure
6. state that you have now formed a rectangle with length=b and width= h
