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"Professional Development"
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 […]
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 […]
Practical activities like shaking hands, taking 2 books from a shelf and drawing the mystic rose pattern lead to understanding how to find the sum of a series and how and why different methods lead to the same result. These activities give learners the opportunity to develop logical thinking, and problem solving […]
The paper folding activities in this workshop guide provide experiences of discovering the properties of circles stated in seven basic theorems. Folding cut-out paper circles does not prove the theorems but it suggests recipes for the formal proofs. Teachers should do all the activities before using them in lessons even if they […]
In these activities you will investigate the properties of prisms and pyramids. Full instructions are given as to how to roll scrap paper tightly around string to make paper sticks and tie the string together at the vertices to make ‘skeleton’ 3D polyhedra. There are activities for teachers to engage with together […]
This workshop guide offers the learning activities: “What do you know about 64?”, an exponent matching jig-saw and other activities to revise the basic ideas of exponents and surds using numbers. In addition there are further activities to introduce algebraic expressions and to help learners to find explanations of why the rules work for the […]
Practical activities that involve matching equivalent representations of fractions, decimals and percentages to reinforce understanding, and to help learners to remember these concepts.
Click here to download a pdf with all you need to run your own professional development workshop.
Click here to downlload the Fractions, Decimals, Percentages poster.
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