Posts by: toni
To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.
From one corner of a box cut squares all exactly the same size to form 3 faces of a cube, […]
Copy this diagram. Why do the diagonals of a unit cube have lengths √2 and √3?
To draw a cube first draw a square, then draw another square the same size that looks as if it is behind the first square, then join the vertices with four parallel lines.
What are the lengths […]
ONE THREE FIVE SEVEN is a game for 2 players. You should have 16 objects.
Arrange the objects in 4 rows with 7 on the bottom row, then a row of 5, then 3, then 1 at the top.
Players take turns to choose a row and to remove at least one […]
How many triangles can you find? Look carefully, there may be more than you think!
Click here to download a large copy of the triangle.
Click here to download a sheet to colour in your solutions.
The picture shows some curves in the family of y = x cubed. Can you find the graph of this function and the equations of the other graphs? In this workshop guide you will find more examples of this type of ‘inverse problem’ where the learner is given information and has to […]
Some practical activities to help learners to tell the time on a 12 hour or 24 hour clock and to work out the lengths of time intervals.
This guide offers many suggestions for practical surveying tasks that can be done without needing any expensive equipment. Applications of trigonometry include measuring the length of your shadow and relating this to the angle of elevation of the sun and the time of day, measuring heights of buildings, trees and towers, navigation, […]
This workshop guide provides learning activities that explore the ways in which arithmetic and geometric series are used in simple and compound interest calculations related to loans (including pay-day loans) , investments, annuities, hire-purchase, inflation etc. and there is an explanation of how APR is calculated. Ideas are given for practical ways […]
This workshop reviews reduction formulae in terms of rotations and reflections. It offers learning activities that involve sorting and solving trigonometric equations and finding general solutions, or solutions within a
given domain, using known identities and graphical or unit circle representations. Suggestions are given organising group activies and learners presenting and explaining their ideas […]
This workshop guide reviews the number systems that learners have met and expands number concepts to include complex numbers. Learning activities involve matching graphs to linear and quadratic equations and their solutions within different number systems.
There is discussion of the historial evolution of mankind’s concepts of number and parallels are drawn […]
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