A pen for the pony
To make a pen for her new pony, Pam will use an existing fence as one side
of the pen. If she has ninety-six meters of fencing, what are the dimensions of
the largest rectangular pen she can make?
Students will understand the systems of units for measuring
perimeter, area, and volume. They will also understand how to measure the
volume and surface area of solid figures. Students will understand the
systems of units of measuring (customary and metric) and measure quantities
Students will convert from one unit to another within one system of
measurement (customary or metric) by using proportional relationships.
Students will use appropriate units of measure for finding the perimeter,
area, and volume and express the answer using the appropriate unit.
We drew the one side of the fence
that we start with. Then, we drew the sides of the rest of the fence. We put
numbers in Excel to see what numbers made the largest fence.
Plans to Solve/Investigate the
Then we realized that one of the
students had come up with the right answer at the beginning. She divided 96 in
half and it is 48. This is the length of the side of the fence opposite the
piece of existing fence, so it is the value of both of these sides. Then she
divided the remaining 48 in half to be the length of the other two sides. The
number for these sides is 24.
Investigation/Exploration of the
The formula for Area is A=length x
width. So, the area is 48 x 24 which equals 1152m squared. According to the
information we gathered on Excel, this is the largest rectangular pen she can
Extensions of the Problem
Pam actually has another 3/4 of
a foot for fencing. How does this change the dimensions of the pen?
First we must convert 3/4 foot
to meters. She just adds this to the total amount of fencing she has. Then she
can approach the problem in the same fashion.
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Link(s) to resources, references, lesson plans, and/or other