1.1+Preparing+for+a+Bicycle+Tour+0910



S.K Math 7b 31 August 2009 **INV 1 Essential Question: What are some of the variables around us?**  Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

__Think about this! How far do you think you could ride in a day? How do you think the speed of your ride would change during the course of the day?__ __What condition would affect the speed and distance you could ride?__

The popularity of bicycle tours gave five college student-Sidney, Celia, Liz, Malcom, and Theo-an idea for a summer business. They would operate bicycle tours from school and family groups. They chose a route from Philadelphia, Pennsylvania, to Williams burg, Virginia, including a long stretch along the ocean beaches of New Jersey, Delaware, and Maryland. They decided to name their business Ocean and History bike Tours. While planning their bike tour, the five friends had to determine how far the touring group would be able to ride each day. To figure this out, they took test rides around their hometowns. To answer the question above, you would need to take a test ride yourself. Although you can’t ride a bike around the classroom, you can perform a simple experiment involving Jumping Jacks. This experiment should give you some ideas of the patterns commonly seen in tests of endurance. ** __Problem 1.1__ ** __This experiment requires for people: A jumper (to do jumping jacks) A timer (to keep track o time) A counter (to count jumping jacks) A recorder (to write down the number of jumping jacks) As a group decide who will do each task. Prepare a table for recording the total number of jumping jacks after every 10 seconds, up to a total time o 2 minutes (120 seconds). Time (seconds)__ __0 10 20 30 40 50 60 70 80 90 100 110 120 Total number of jumping jacks__
 * Problem 1.1 Preparing For The Bicycle Tour **

__Here’s how to do the experiment. When the timer says “go,” the jumper begins doing jumping jacks. The counter jumps the jumping jacks out loud, Every 10 seconds, the timer says “time” and the recorder records the total number of jumping jacks the jumper has done so far, Repeat the experiment four times so that everyone has a turn at each of the four tasks.__


 * Time (seconds) || 0 || 10 || 20 || 30 || 40 || 50 || 60 || 70 || 80 || 90 || 100 || 110 || 120 ||
 * **Total number of jumping jacks** || 0 || 11 || 21 || 31 || 54 || 65 || 73 || 84 || 96 || 109 || 115 || 122 || 128 ||
 * Problem 1.1 Follow up**

According to my table, I went on a normal pace in the beginning but from (20-60 seconds) I went really fast and towards the end I got slow because i was dehydrated. From (30-40 seconds) I went as fast as I could because i felt energetic and then lost stamina.
 * Use your table of jumping jack data to answer the questions:**
 * How did you jumping jack rate (the number of jumping jacks per second) change as time passed? How is this shown in your table?**

I think that if the bicycle tour would go on for a very long time it would be really hard to keep on a steady pace because you would get really tired and would have to take at least 3-4 breaks, and their might be mechanical problems with the bicycle so that can cover a long amount of time. The riders would go slow most of the time then speeding because you use your full stamina in a short race but not in long ones like marathons. I think that smart riders would go slow in the beginning and speed up in the middle or towards the end because if you have problems in the beginning you wont loose your stamina which might save a lot of time. 3
 * What might this patter suggest about how bike-riding speed would change over a day’s time on the bicycle tour?**