Sunday, April 22, 2012

Math in the Community



This is a picture of Cloud Gate at Millennium Park in Chicago, Illinois. Cloud Gate is better known as “the bean.”
Mathematics related:
·         Determine the surface area of the bean
·         Determine how you would find the volume of the bean
·         The distance of the image in the reflection is distorted due to its shape
o   Find true distance
o   Explore why the reflection is distorted
·         Many math problems can be derived from tourism
o   Prices of tickets
o   How many tourists per hour, day, week, month, year, etc.
o   Compare and contrast to environmental conditions (i.e. weather)


This is the Jay Pritzker Pavilion in Millennium Park, located in Chicago, Illinois. This pavilion is the location of many music festivals throughout the summer including the Downtown Sound, Loops and Variations, and Made in Chicago: World Class Jazz concert series.
Mathematics related:
·         Scheduling
·         Measuring time of shows
·         Measuring dimensions of stage and the lawn where the audience resides
·         Audience
o   Price to park
o   Number of people (i.e. demographics, capacity, etc.)
·         Food brought to the concert
o   Price
o   Fraction of people splitting the food
o   Number of people who brought food (probability)




This is a picture of a Cubs game at Wrigley Field Stadium in Chicago, Illinois.   
Mathematics related:
·         Prices
o   Tickets, transportation, food, etc.
·         The Cubs haven’t won a world series in over 100 years
o   How many games have they played in that time
o   Compare stats across the years
·         Fans
o   How many fans attend games every year
o   How many people fit in the stadium
·         Baseball field
o   Geometry-related with baseball diamond
o   Dimensions of field
o   Measurement of distance around bases
o   Speed of baseball thrown
o   Distance for home run

A popular question in Chicago is how long is too long to wait for the Cubs to win another World Series? It’s been 108 years and William and Lawrence have been die-hard Cubs fans their entire lives without seeing a World Series win. William is 89 years old and Lawrence is 78 years old. They both vowed to stop supporting the Cubs after attending their 2000th game without another World Series win. Lawrence goes to 3 more games a year than William. How many games a year does each fan go to and what age will each of them be when they attend 2000 games?

The students in a Chicago Public School have always wanted to go to a Cubs game but they have never had the funds to do so. The 5th grade teachers thought it would be a great idea to do a fundraiser to help students raise money for an end of the year field trip to a Cubs game. The students would sell school spirit items to raise money.
The items available for sale are:
·         T-shirts - $12
·         Home good crafts -$8
·         Pins- $1


·         Baked goods -$3
·         Posters - $2
The tickets for the Cubs games cost:
·         Upper tier: $20
·         Middle tier: $50
·         Lower tier: 150
·         Bleachers: $35
Each student was responsible for selling their own items to contribute to the class collection. There are 25 students in the class. Which items and how many of them could the students sell in order to help the class raise money for tickets? The goal is for the students to sit in the middle tier. 





2 comments:

  1. Tracy I LOVE your Chicago style real life math tasks! The problem about the Chicago Cubs game is undoubtably relatable to the Chicago public school students we will both be interning for next year! You did a fabulous job relating a very deeply created math task to the lives of the students in the CPS area. If it's alright, I would LOVE to use these tasks in our classrooms when we students teach next year. I really like how detailed you were and how you had the teachers planning a fundraiser, which is a very real possibly for these students to do if they would want to go to a game. What I like is that this could very well be a real life problem for students if they consider wanting to go to a cubs game and taking the time to work through a problem like this in order to go! The amounts of money you used was very realistic and coincides with the amount of money it would take to go to a ball game with a bunch of COS students! Amazing job creating this higher level task and, no, I don't think you'd need to change it at all to be a more higher level task than it already is!

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  2. I absolutely loved your post. I have always been fascinated with Chicago, but this assignment taught me about the community while, also showing me ways to incorporate Chicago into mathematics. When I looked at your tasks, I was blown away by how in-depth they were. I thought that they were very realistic, and I like that you chose to use popular locations. Even though Chicago is very big, students all over the city can relate to the tasks you presented. I also enjoyed reading your suggested math topics for each picture. I would have never thought about using the Jay Pritzker Pavilion to form scheduling, or time, problems.

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