Paige Martin
December 3, 2013
https://www.dropbox.com/sc/3oo18h3sdu11nra/4cKB6R52GE
A. Explaining the problem
There is seating for 87,451 fans inside of Jordan Hare Stadium, but how many of those fans
could fit onto Pat Dye Field at the same time? The greatest Iron Bowl of all time was played November
30, 2013 in Jordan Hare and ended by Chris Davis running back a missed field goal attempt for a
touchdown 109 yards and fans’ rushing the field until the grass was completely covered. But, how many
people exactly were actually on that field enjoying the sweet victory?
B. Finding the area of Pat Dye Field
In order for us to find out how many fans can fit on the field, we first need to know what the
measurements of the field actually are. An American football field measure 120 yards x 53.3 yards, or
360 feet by 160 feet.
Now that we have the dimensions of the field, we need to use them find the area of the field. By finding
the area, we can determine the amount of room inside the field. In order to find the area, we use the
formula:
Area= length x width
We will use the measurements in feet to find the area so that we can determine the square footage. 360
will be our length and 160 will be used for our width. When we multiply these two numbers together,
we will get the area of the football field in square feet.
Paige Martin
December 3, 2013
By looking at the figure and calculations above we can see that the area of the entire standard football
field is 57,600 square feet.
C. How many people can fit onto the field?
Knowing the square footage of the football field gives us the information we need to find out exactly
how many people can be on the football field at the same time. When the Auburn fans rushed the field,
there was no inch of grass left uncovered and very little room between them and the people on each
side of them. The average shoe size of the American man is 10.5 and the American woman is 9, so the
best estimate to give a person is at least one square foot, 12 inches, of space to stand in. With this
information we are able to find exactly how many fans can stand on the field at one time.
From this calculation we can see that 57,600 people fit on Pat Dye Field at one time because each
person only gets one area of the full football field. This may seem like the entire stadium, but yet there
are still some fans left in the stands
D. What percentage is left?
If 87,451 fans fit inside of Jordan Hare Stadium, but on 57,600 fans fit onto Pat Dye Field, then what
percentage of the stadium was stuck without getting to rush the field? In order to find this, we need to
first find the difference in seating and room on the field.
Paige Martin
December 3, 2013
We see that with 57,600 fans on the field, 29,851 fans are left in their seats. What percentage of total
fans in the stadium is this? In order to find this we need to divide the fans left in their seats by the total
number of fans inside of the stadium.
Moving our decimal over, we see that about 34% percent of the crowd was left in their seats.
If 34% of the fans were in the stands, next we want to see the percentage of fans that actually get onto
the field. To do this, we need to divide the number of fans on the field by the total number in the
stadium.
Once again moving our decimal, we see that about 66% of the crowd was able to fit onto the field.
E. Conclusion
So, after the sweet Iron Bowl victory how many of the ecstatic Auburn fans were able to celebrate
on Pat Dye Field? After finding the measurements of the football field, calculating the area, and getting
our answer, we can see that 57,600 of the 87,451 fans inside of Jordan Hare Stadium are able to fit onto
Pat Dye Field at one time. With 66% of people in the stadium covering the field, it is an incredible site!
Paige Martin
December 3, 2013
A. Alabama Course of Study
1. 7-G1
“Solve problems involving scale drawings of geometric figures, including computing actual lengths
and areas from a scale drawing and reproducing a scale drawing at a different scale.”
In order to solve this problem, students had to draw a scale drawing of the football field and compute
the area from the dimensions given.
2. 7.RP.A.3
“Use proportional relationships to solve multistep ratio and percent problems.”
In order to find the percentages in this write-up, students had to build a proportion or either fans left in
stands to fans total or fans on the field to fans total. Doing this, they were able to divide them to get the
percentage they were looking for.
B. The eight Standards of Mathematical Practice
1. “Make sense of problems and persevere solving them.”
Students have to watch the video and understand exactly what it is asking them to do. In this case,
students had to decide how to find the amount of fans that can fit onto Pat Dye Field.
2. “Reason abstractly and quantitatively.”
Students have to manipulate the problem and represent it in various ways. There must be a clear
representation made of the problem to solve it.
3. “Construct viable arguments and critique the reasoning of others,”
Students must prove how their solution is the correct way and use the information and resources
provided to construct the solution.
Paige Martin
December 3, 2013
4. “Model with mathematics”
Students must justify their answer using mathematical action technology. In this case, the best thing for
students to do is use the geometry page and calculations page on TI-Inspire.
5. “Use appropriate tools strategically”
Students should use the right tools at the right time in the right way to help solve the problem. For this
write-up, a calculator was the most appropriate tool.
6. “Attend to precision.”
Students should communicate the problem and solution well to others. The problem should be written
and labeled specifically so that it is easy to understand.
7. “Look for and make use of structure”
Students should have a structure to their problem. When everything is neat and organized, it makes
reading and understanding much easier.
8. “Look for and express regularity in repeated reasoning.”
Students should find a reason for solving their problem and stick to it. Reasoning should not differ from
problem to problem.
C. Technology Principle
“Technology is essential in teaching and learning mathematics; it influences the mathematics that is
taught and enhances students' learning.”
This write-up expresses the technology principle in that the most efficient way to complete the
problem was by the use of technology. For this write-up, students had to figure out the best way to
calculate how many people can fit onto Pat Dye Field. Once the student figured out that the area
formula is the best way, they had to find dimensions and insert into the formula. TI-Inspire was the
technology used in this write-up because you can use various tools on there. The first tool used was the
geometry page. The dimensions of the football field were displayed by drawing a rectangle and labeling
Paige Martin
December 3, 2013
the sides. Once the dimensions were drawn, we used the calculations page to figure up the area of the
football field. Like the principle states, technology enhances the students’ learning by making it more
interesting and fun for them. The write-up could have been done without using these 2 illustrations, but
the students were more able to get a visual and better understanding this way. The calculations were
also much easier to computer using the calculator than just working them by hand. Technology is very
helpful in mathematics to solve any type of problem.