Form a sequence of vectors by multiplying each vector (using vector products) by a constant vector to get the next one in the seuence(like a GP). What happens?

This activity encourages students to consider the effect of vaccination on the spread of a disease.

Weekly Problem 23 - 2010

These numbers have been written as percentages. Can you work out which has the greatest value?

How can visual patterns be used to prove sums of series?

Use vectors to collect as many gems as you can and bring them safely home!

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Working on these problems will help you develop a better understanding of vectors.

Resources to support the teaching and learning of vectors in mechanics

What is special about the relationships between vectors that define a square?

Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?

What percentage of people voted for the Broccoli party in the Vegtown election?

If each number in this list is the average of the two numbers before it, what is the value of a?

If the line on the right were 0.2mm thick, how long would it need to be to cover an area of one square metre?

Details of the Motivate Video Conference on Proof given on 13th October 2008

A virtual geoboard that allows you to create shapes by stretching rubber bands between pegs on the board. Allows a variable number of pegs and variable grid geometry and includes a point labeller.

A collection of short Stage 3 and 4 problems on Visualising.

Develop your skills of visualisation of mathematical objects

What are complex numbers, and how can we represent them?

These lower primary tasks all specifically draw on the use of visualising.

These upper primary tasks all specifically draw on the use of visualising.

These resources introduce and explore the concepts of volume and capacity.

These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.

These are the interactivities for the article 'Volume of a Pyramid and a Cone on NRICH website. They might take a very long time to load on some computers.

Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.

Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?