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Here you have an opportunity to explore the proofs of the laws of logarithms.
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Explore the strange geometrical properties of the Koch Snowflake.
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A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?
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Looking at small values of functions. Motivating the existence of the Maclaurin expansion.
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Which of these triangular jigsaws are impossible to finish?
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Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?
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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?
