This lesson absolutely drips with potential, but the worksheet here is life-sucking. How would you fix it? What media would you use? What activities would you use?
1. A journalist is asked to cover a major event in a large ballroom. She wants to include a note about how many people attended the event. How could she estimate the number of people without actually counting everyone?
2. Describe several different methods that could be used to estimate the size of a crowd at an outdoor political event. How might the estimate of the crowd size supplied by organizers of the event differ from estimates made by other groups? Why?
3. Find a location where you can make a rectangle that measures 5 feet by 5 feet. Have your classmates stand close to each other inside this rectangle (as if you are in a small area watching a music concert). Count the number of people you can fit in this rectangle and find the ratio of this number to the area of the rectangle. Then use a proportion to estimate the number of people who could fit into a rectangle that measures 6 feet by 9 feet.
4. Can the perimeter of a rectangle be used to provide an accurate estimate of the number of people standing inside it? Why?
5. Suppose that a crowd has gathered in a rectangular ballroom with an area of 5,000 square feet and that the room is filled to capacity. If each side of the ballroom were enlarged by 25%, determine if it is true that 25% more people could stand inside this larger ballroom.
Just to kick things off, here’s a potential bit of media.