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Olympic Cycling

Four problem-solving activities on the theme of track cycling.

Barrie Galpin

Topic: Mathematics

Tags Data, Tables, Sport, Geometry

 

With the Olympics being held in London in 2012 it seemed appropriate to make some TI-Nspire documents based around sport. Since I have some experience of competitive cycling I choose this as a topic. This file was produced after I asked myself ?where's the maths in that??

The TI-Nspire document is split into 4 different activities.

Activity 1 ? Frame Geometry

Are all cycle frames the same? Use TI-Nspire to make measurements of images of cycles gathered from the web and to compare angles and ratios of lengths.

Activity 2 ? Track Statistics

Are all cycle tracks the same? Compare the features of 25 tracks around the world using data provided. Then add more data to reach more reliable conclusions.

Activity 3 ? Track Dimensions

The lengths of the straights and the radii of the ends of cycle tracks vary. Build a model track so that it has a particular overall length.

Activity 4 ? A Fermi Problem on gear ratios

How many times do a bike?s pedals rotate during one lap of a cycle track?


The TI-Nspire document includes the four activities in separate Problems and may be used independently of each other.
For Activity 1, TI-Nspire CX version is required and also the use of of laptops or computers. Navigator is also recommended in order to make best use of most of the activities.