Conceptual maps

Conceptual frameworks developed in significant areas of English and maths, and added to as further research and trialling in other key areas is conducted.

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Basic facts concept map

When we think of basic facts, possibly the first thing that springs to mind are our “times tables”. But there is far more to them than this. Just about anything in mathematics can be a basic fact. The main ones encountered are the whole-number basic facts, and in particular addition and multiplication, and their close cousins subtraction and division. However, we should memorise simpler facts, like our addition and subtraction facts. Often these have been ignored. Just maybe 7 × 8 may pop into mind just a tad more automatically than 7 + 8.

Algebraic patterns concept map

The study of patterns is a key part of algebraic thinking. It is important that students are able to recognise and analyse patterns and make generalisations about them. Algebraic patterns can be created from shapes, sounds, colours or numbers. Patterns can be visual or spatial.  They can be repeating or they can be growing.

Fractional thinking concept map

Underlying the development of fractional thinking is a number system that is different from the whole numbers that students have already had experience with.  Fractions have different rules for naming, quantifying, ordering, adding, subtracting, multiplying, dividing, etc.  Students will need to develop an understanding of these rules and be able to apply them when working with fractions.  Using a variety of visual and numerical representations for fractions can support students to build up experiences with the different areas of fractions (fractional constructs).

Probability concept map

Probability is all around us. There are the weekly Lotto and Big Wednesday draws, poker machines proliferate, and many games are ruled by the roll of a dice, a coin toss, or the random numbers that computer games use. All of these are driven by chance (probability).
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