If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?
Investigate the different sounds you can make by putting the owls
and donkeys on the wheel.
How many different rhythms can you make by putting two drums on the
Can you predict when you'll be clapping and when you'll be clicking
if you start this rhythm? How about when a friend begins a new
rhythm at the same time?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Bellringers have a special way to write down the patterns they
ring. Learn about these patterns and draw some of your own.
Use the interactivity to listen to the bells ringing a pattern. Now
it's your turn! Play one of the bells yourself. How do you know
when it is your turn to ring?
Use the interactivity to play two of the bells in a pattern. How do
you know when it is your turn to ring, and how do you know which
bell to ring?
The Pythagoreans noticed that nice simple ratios of string length
made nice sounds together.
Using an understanding that 1:2 and 2:3 were good ratios, start
with a length and keep reducing it to 2/3 of itself. Each time that
took the length under 1/2 they doubled it to get back within range.
The scale on a piano does something clever : the ratio (interval) between any adjacent points on the scale is equal. If you play any note, twelve points higher will be exactly an octave on.
Why is the modern piano tuned using an equal tempered scale and
what has this got to do with logarithms?
Use Euclid's algorithm to get a rational approximation to the
number of major thirds in an octave.
Show that it is rare for a ratio of ratios to be rational.
Pupils from Leola Elementary School managed to tessellate the
letters I and T.
Luis and Freddie explain very clearly how they placed the letters
on the coordinate grid.
Emilio managed to avoid a common mistake here.
Ben and Ruth give proofs about the number of points with integer
coordinates on a parabola and a hyperbola.
This article, written by Nicky Goulder and Samantha Lodge, reveals
how maths and marimbas can go hand-in-hand! Why not try out some of
the musical maths activities in your own classroom?
An article for students and teachers on symmetry and square dancing. What do the symmetries of the square have to do with a dos-e-dos or a swing? Find out more?
A story for students about adding powers of integers - with a festive twist.
This sudoku requires you to have "double vision" - two Sudoku's for
the price of one
The reader is invited to investigate changes (or permutations) in the ringing of church bells, illustrated by braid diagrams showing the order in which the bells are rung.
This article sets some puzzles and describes how Euclid's algorithm
and continued fractions are related.