Mobius Strip
Y8 Möbius Strip –
Powerpoint presentation giving
an overview of the history and
some tasks
YouTube Clip: Making and Cutting
a Mobius Strip 
Online
YouTube Clip: Motorbike on
Mobius Highway 
Online
References: General 
Click here
Tasks:
Various strip making and cutting
tasks – see the slides in the
resources 


Introductory Activity
Sprouts
Game (Conway)
Online Version
Chinese
Postman Problem and Other
Network Tasks
Chinese
Postman Problem 
21 Page Workbook 
Sample Material
from Pearson Publication
(Decision 1 Ch 3 on right)

Link
Chinese Postman Problem and
Other Network related Problems 
Click here
Königsberg Bridge Problem
(interactive tool)
http://nrich.maths.org/2327
Traversable
Problem 1
Problem 2
Problem 3
Problem 4
Traversability
Workbook
Chinese
Postman Problem 
Standards Unit Task 
Hamilton
Circuits
Graph Theory – PowerPoint
presentation giving an overview
of the history
Dodecahedron net’ – for
printing or displaying for
Hamilton’s Game
Building an origami
dodecahedron
Click here
Nets of a range of Solids in pdf
form
Click here 

Extension Tasks
A Wide
range of activities and problems
relating to networks 
Click here
Tree Graphs Proof Task:
http://nrich.maths.org/453
An article on Circuits in Graph
or Network Theory
http://nrich.maths.org/2414
Tasks

Good
starter – Conway’s Sprouts
Game (see reference above)

Several
Nrich tasks in References
above

Königsberg Bridge problem
and variations (see
Powerpoint slides)

Solving
Hamilton’s Game. Either by
building dodecahedra or
using the 2D version.
Putting other solids in 2D
form and seeing if you could
make Hamiltonian Circuits.
How many different
Hamiltonian Circuits can you
find for the vertices of a
cube?

Knights Tour
One of the
earliest problem involving chess
pieces is due to Guarini di
Forli who in 1512 asked how two
white and two black knights
could be interchanged if they
are placed at the corners of a 3
× 3 board (using normal knight's
moves).
Knights
Defeated
http://nrich.maths.org/473

