My City Journey

This simulation is an illustration of a map of downtown Chicago that shows how math is used around downtown. There are four stops on the journey.

The first stop along the journey is the Magnificent Mile on Michigan Avenue. Displayed on a map of downtown is (N. Michigan Ave.) which shows the following parallel streets Oak Street and Walton Street. Parallel lines are lines in a plane that will never cross. The streets that go in the same direction and that do not meet are parallel lines.

Transversal lines are lines that pass through two lines in the same plan at two distinct points. In the map these points where two streets map are circled. Transversal play a role in establishing whether two other lines in the Euclidean plane are parallel.

The second stop along the journey is Millennium Park in Chicago where you learn about surface area. There is an illustration of a 3-dimensional building, the Crown Fountain that animates to show the different sides or planes of the object and calculates surface area. There are six rectangles that are added together to get the surface area. The first rectangle is 23 feet by 50 feet. This equals 1150 feet. You add this to the second rectangle which is 16 feet by 50 feet or 800 square feet. The next rectangle is the other side of the fountain so it is the same as the first rectangle or 23 feet by 50 feet or 1150 square feet. So, now we have the Total surface area being 1150 plus 800 plus 1150. We still have to add up the other side which would be the same as the second rectangle or 6 feet by 50 feet or 800 square feet. The top and the bottom sides of the fountain are left. Each are 23 feet by 16 feet or 368 feet. The calculation would be 1150 plus 800 plus 1150 plus 800 plus 368 plus 368. The total surface area would be 4636 square feet.

The third stop teaches you about percentages. There are 3 Chicago Bull Basketball players. Jimmy Butler is the first player and there is an illustration that shows he has made 45.8% of the 100% of shots attempted or 164 divided by 360. This is a little under half of the basketballs shaded in. The next player is Pau Gasol and the illustration shows that he has made 47.7% of his shots attempted or 171 divided by 360. This is more basketballs shaded in then Jimmy Butler but not that many more. The third player is Derrick Rose. He has made the least amount of shots and has the least number of basketballs shaded in. He has made 150 out of 360 attempts or 41.9%. Finally, there is a mystery basketball player where you can pick specific basketballs out of 360 which it shows the percentage for that player. The more basketballs you select the higher the percentage for that player.

Finally, the last stop is Navy Pier. The math concept is probability. There is a duck game where you pick a duck and try to find a dot behind the duck. On the screen there are only six ducks that appear but what you don't know is that there are more ducks hiding behind the scene. In fact, there are 100 ducks total and 35 ducks have the white dot. That means that you have a 35% chance of picking a duck with a white dot.