'Make a dynamic logo for the Olympic Games'

The instantly recognisable Olympic Games logo is composed of 5 interlocking rings.  Created 100 years ago it is in dire need of bringing into the 21st Century.  For our modern era, surely it should move, rotate, enlarge or explode!  It is your job to design a new logo.  In this activity you will be set some mini tasks to create some moving logos like the one to the left then you are set the challenge of creating a logo of your own. The design for the 2012 Olympics logo cost £400 000 (over \$600 000) so perhaps this activity is an opportunity to earn a great deal of money!

### Resources

• The questions are set in the form of images (usually animated).  Students are given clues to lead them through these animations in the form of ‘How to’ video demonstrations below.

### Description

#### Challenge 1

The first simple task is to create a static Olympic Ring Logo.  Watch this help video to give you a clue as to how to use Geogebra to draw circles and change their appearance.

Can you create the following image?

#### Challenge 2

Watch this video to understand how to control the radius of circles using sliders.

Can you create a Geogebra file that does the following animations? In my animation the radius of the circle is the same as the value of my slider, but how did I create the other circles to go inside this circle yet grow in the same way?  The image on the right is created from the same file but using ‘trace’ function.

#### Challenge 3

Watch this video to see how you can get the circles to follow a specific path, in this case the line y=x, as well as grow in size!

Can you create Geogebra file to make the following animation?  In this case the ‘circles’ follow a curved path, y=x².  The Xaxis : Yaxis ratio is no longer 1 : 1 (I have squashed the y axis to get a good view of this path which also squashes the rings so that they are no longer circular giving a nice effect!)

#### Challenge 4

Watch this video to see how you can get circles to rotate around a point.

Can you make this final animation created from rotating circles around a point? You can use the ‘trace’ function to leave an imprint of each circle.  Try experimenting with changing the increment to see the effect that this has on the image.

#### Challenge 5

Now it’s your turn to create an animated logo of your own to represent the Olympics. You may use some or all of the animations that you have learned about in this activity to create a beautiful logo to represent the Olympic Games.  The only rules are that it should involve the five coloured circles: blue, black, red, yellow and green.

Good luck!