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Explore how matrices can fix vectors and vector directions.
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Consider these questions concerning inverting rational functions
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How would you sort out these integrals?
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Exponential functions grow pretty quickly...
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Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?
This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.
Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse the outcomes of series of 'moves'. With a little encouragement from the teacher, a mathematical investigation is born.
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Simple models which help us to investigate how epidemics grow and die out.
