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 […]
Can you explain how it works?
How does the diagram below connect with the multiplication?
Use the two grids below to do the two multiplications:
72 × 25 and 50 […]
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
A sequence of activities in this guide takes you from familiar ideas about lines, then emphasises the ‘across’ and ‘up’ aspect of gradient to explain why the product of gradients of perpendicular lines is -1, then uses Pythagoras Theorem to produce the equations of circles and recaps on properties of perpendicular lines […]
Mathematical modelling and making real life connections is the focus of this guide. The use of tree diagrams in probability is developed starting with collecting data to model the numbers of boys and girls in families and the orders in which they occur. The connections between the underlying mathematics in these situatons, […]
Starting with real experiences like guessing the numbers on two cards from clues such as “the numbers add up to 20 and one number is three times the other number” learners progess to illustrating the clues by drawing straight line graphs, writing down simultaneous equations and learning formal algebraic methods to solve […]