Modular arithmetic

Secret Codes

Speaker: 
Jenny Gage
Curriculum links: 
Maths and ... History
Curriculum links: 
Maths and ... ICT
Curriculum links: 
Maths and ... English and other languages
Participating school(s): 
St Joseph's College, London
Date: 
Thursday, September 30, 2010
Time: 
9.30 - 14.30
Age range: 
Year 8
Cost: 
£550 for a 5 hour day

Resources and equipment required:

  • Plan for the day (teacher only)
  • Normal classroom equipment, including pens, pencils, paper and calculators

Session 1:

Submitted by jag55 on Thu, 26/08/2010 - 14:18

Groups: Looking Beneath the Surface

Jenny Gage, University of Cambridge

  • What happens if you combine two symmetries of a particular regular polygon? Do you always get another symmetry?
  • How about if you do one symmetry followed by another? Does it make a difference if you do it the other way round?
  • How can the symmetries of a rectangle and the multiplication table for the numbers {1, 3, 5, 7} mod 8 be the same? And what does multiplication mod 8 mean anyway?
Project Work
What is a Group?
Combining Symmetries
Investigating Transformations
Dancing with Mathematics
Addition Material
Transformations Investigation Work 1
Transformations Investigation Work 2

Prime Football

The Doubling Map

Linked From: 
Chaos
Back to : Chaos Main Page

Consider the Doubling Map

Syndicate content