2.1+Comparing+Leisure+Activities+-+0910

AD 11/24/09

** Big Idea ** : Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them
 * Essential Question ** : What methods are there for comparing things?
 * 2.1 Comparing Leisure Activities



** Comparison in sports activities survey from a 7th grade class
 * ** Sports  ** || **  Number of Boys  ** || **  Number of Girls  ** ||
 * Soccer ||  8  ||  4  ||
 * Swimming ||  4  ||  6  ||
 * Basketball ||  8  ||  5  ||
 * Volleyball ||  2  ||  4  ||
 * Cricket ||  6  ||  0  ||
 * Biking ||  6  ||  7  ||
 * Camping ||  2  ||  2  ||
 * Walking ||  7  ||  6  ||
 * Fishing || 2 || 0 ||

 A.  Why don’t the numbers in the columns add to the given totals?

The numbers in the columns don’t add up to the total in the group because people voted more than once.

 B.  Write three statements that use percents to make comparisons about the numbers of male and female participants in the various activities. Explain how you found the percents. · 23.87% of female swim while 24.77% of male swim. Female: 33,640,000/118,555,000 = 0.2387*100 =23.87% Male: 27,713,000/111,851,000 =0.2477*100 = 24.77% · 36.58% of female exercise walks while 18.82% of men exercise walk. Female: 43,373,000/118,555,000 = 0.3658*100 = 36.58% Male: 21,054,000/111,851,000 = 0.1882*100= 18.82% · 12.55% of men fish while 27.22% of female fish. Female: 14,885,000/118,555,000 = 0.1255*100= 12.55% Male: 30,449,000 /111,851,000 = 0.2722*100 = 27.22%

 C.  Write three statements that use percents to make comparisons about the number of teenage and older-adult participants in the various groups. · People ages 12-17 that do camping have a percentage of while people ages 55-64 only have of people who swim. Male and female who camp: 23,165,000 + 19,533,000 = 42,698,000 Ages 12-17: 5,336,000/42,698,000 = * 100 Ages 55-64:2,355,000/42,698,000 = *100 · People ages 55-64 have of people who exercise walk while ages 12-17 have who exercise walk. Male and female who exercise walk: 21,054,000 + 43,373,000 = 64,427,000 Ages 12-17: 2,816,000/64,427,000 = 0.0437*100 = 4.37% Ages 55-64: 7,782,000/ 64,427,000 = 0.1207*100 = 12.07% · People ages 12-17 have of people bike while of people 55-64 bike. Male and female who bike: 24,562,000 + 23,357,000 = 47,919,000 Ages 12-17: 8,794,000/ 47,919,000 = 0.1835*100 = 18.35% Ages 55-64: 2,030,000/ 47,919,000 = 0.0423*100 = 4.23%

 D.  Write three statements that make comparisons about the data without using percents. · The ratio of female who bike to male who bike is 23,357to 24,562. · The ratio of ages 12-17 who camp to ages 12-17 who swim is 5,336 to 10,874. · The ratio of male who camp to female who camp is 23,165 to 19,533.

Problem 2.1 Follow-Up  1. Explain how you might decide when percents would be a good way to make a comparison and when other forms would be of comparison would be better. Use examples if they help explain your idea.

With this data it would be better to use percents because the numbers are to big so it’s easier to look at it if it was out of a hundred so you would have a better idea of how small or big the number is.

 2. Can you compare the participation of teenage boys in these activities to the participation of older-adult women by using the data in the table? Explain.

Teenage Boys and Older-Adult Women Participants in Activities
 * ** Activities ** || ** Number of teenage boys ** || ** Number of older-adult women ** ||
 * Bike riding || 15,268,000 || 21,327,000 ||
 * Camping || 17,829,000 || 17,178,000 ||
 * Exercise Walking || 18,238,000 || 35,591,000 ||
 * Fishing || 25,504,000 || 11,729,000 ||
 * Swimming || 16,839,000 || 30,884,000 ||

When there were more teenage boys than older-adult women maybe it was because they liked a lot of sports or activities than the older-adult women. When there were more older-adult women then teenage boys they probably wanted to try and get some exercise or wanted to have a good time so they went; also they would have a license to go drive places to do some of the activities and the teenage boys under 15 wouldn’t be able to go to things as much as the older-adult women.