An old game but lots of arithmetic!
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Dotty Six is a simple dice game that you can adapt in many ways.
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that could come up?
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
There are nasty versions of this dice game but we'll start with the nice ones...
Can you find a way to identify times tables after they have been shifted up?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
Can you make matrices which will fix one lucky vector and crush another to zero?
A collection of problems related to the mathematics of fundamental physics.
It's worth having a look at this for the final solution and see the mathematical skills that have gone on.
It would be great to have some images of the spirals you have made but in the meantime here are a few ideas.
We received some elegant solutions to this problem.
We received a great solution to this problem explaining the links between the functions A and B and the trig and hyperbolic functions.
What might your first lesson with a new class look like? In this article, Cherri Moseley makes some suggestions for primary teachers.
This article outlines some of the benefits of using dice games in the classroom, especially as a tool for formative assessment.
Bernard's article reminds us of the richness of using dice for number, shape and probability.
What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.
An introduction to the notation and uses of modular arithmetic
Details of the Tracking Back study from school to university