Can you use LOGO to create a systematic reproduction of a basic
design? An introduction to variables in a familiar setting.
Learn how to use Excel to create triangular arrays.
Use Excel to investigate the effect of translations around a number
This spreadsheet highlights multiples of numbers up to 20 in
Pascal's triangle. What patterns can you see?
Use Excel to create some number pyramids. How are the numbers in the base line related to each other? Investigate using the spreadsheet.
A connected graph is a graph in which we can get from any vertex to
any other by travelling along the edges. A tree is a connected
graph with no closed circuits (or loops. Prove that every tree. . . .
Cut off three right angled isosceles triangles to produce a
pentagon. With two lines, cut the pentagon into three parts which
can be rearranged into another square.
What is the ratio of the area of a square inscribed in a semicircle to the area of the square inscribed in the entire circle?
Can you show that you can share a square pizza equally between two
people by cutting it four times using vertical, horizontal and
diagonal cuts through any point inside the square?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Prove that the sum from t=0 to m of (-1)^t/t!(m-t)! is zero.
Sketch the graphs for this implicitly defined family of functions.
Try to move the knight to visit each square once and return to the starting point on this unusual chessboard.