Inauguration Estimation
For this assignment we were given a laminated picture of the 2009 Inauguration, showing all the blocks between the Capital Building and the Washington Monument. We had to estimate the amount of people attending the event. We were also told that the distance between the Capital Building and the Washington Monument was 1.2 miles.
Here is the Process that my group and I came up with:
Area 1: 1 in x 1.5 in
528 ft x 792 ft= 418,176ft2
418,176ft2/1.5 ft 2= 278,784 people
Area 12: 0.5 in x 0.5 in
264 ft x 264 ft= 69696 ft2
69696 ft2/1.5 ft2= 46,464 people11. Added all amounts of people together
12. Got final estimated amount of people: about 4 million people
Reflection
I feel that during the course of this project I used a few habits of a mathematician. Two areSolving a Simpler Problem and Be Systematic. I think that I solved a simpler problem because we broke it up. Instead of guessing the whole estimation as a whole, we estimated each group of people. We circled all the places we thought there was people, measured and calculated the areas to find the amount of people. Then we added those amounts all together. Part of solving a simple problem, was having a system which we did as I explained above. Another system we had was that one group member would measure the areas, another person would write the dimensions down and then I would calculate it all the areas to find the amount of people. I feel that both systems worked really well and got the group done qucikly. We knew what we were doing and how to properly do it. Every one had their part.
For this assignment we were given a laminated picture of the 2009 Inauguration, showing all the blocks between the Capital Building and the Washington Monument. We had to estimate the amount of people attending the event. We were also told that the distance between the Capital Building and the Washington Monument was 1.2 miles.
Here is the Process that my group and I came up with:
- Estimated the area- length and width that 1 person takes up, about 1.5 ft sqaured
- Found scale for the map (1in = 0.1 miles)
- Here is how I got the scale:
- Whole image- 14.75 in long
- Capitol building to Washington Monument- 10.75 in 1 in/10.75 in=x/1.2 mi 1.2 = 10.75x 1.2/10.751 in = 0.1 mi
- Converted miles to feet (1 mile=5280 ft, 1in=528 ft)
- Circled all areas that we thought had people, the dark spots and labeled each area 1-23.
- Measured all 23 areas according to scale
- Divided the square feet of the area by the square feet of one person, which gave us the amount of people for that area
- Did step 6 for all 23 areas
Area 1: 1 in x 1.5 in
528 ft x 792 ft= 418,176ft2
418,176ft2/1.5 ft 2= 278,784 people
Area 12: 0.5 in x 0.5 in
264 ft x 264 ft= 69696 ft2
69696 ft2/1.5 ft2= 46,464 people11. Added all amounts of people together
12. Got final estimated amount of people: about 4 million people
Reflection
I feel that during the course of this project I used a few habits of a mathematician. Two areSolving a Simpler Problem and Be Systematic. I think that I solved a simpler problem because we broke it up. Instead of guessing the whole estimation as a whole, we estimated each group of people. We circled all the places we thought there was people, measured and calculated the areas to find the amount of people. Then we added those amounts all together. Part of solving a simple problem, was having a system which we did as I explained above. Another system we had was that one group member would measure the areas, another person would write the dimensions down and then I would calculate it all the areas to find the amount of people. I feel that both systems worked really well and got the group done qucikly. We knew what we were doing and how to properly do it. Every one had their part.