Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

Learn how to use advanced pasting techniques to create interactive spreadsheets.

Learn how to use increment buttons and scroll bars to create interactive Excel resources.

Learn how to make a simple table using Excel.

Investigate factors and multiples using this interactive Excel spreadsheet. Use the increment buttons for experimentation and feedback.

This investigation uses Excel to optimise a characteristic of interest.

Can you convince me of each of the following: If a square number is multiplied by a square number the product is ALWAYS a square number...

Can you prove this formula for finding the area of a quadrilateral from its diagonals?

A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?

Show that for natural numbers x and y if x/y > 1 then x/y>(x+1)/(y+1}>1. Hence prove that the product for i=1 to n of [(2i)/(2i-1)] tends to infinity as n tends to infinity.

In this 'mesh' of sine graphs, one of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.