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Senior Secondary

Further Mathematics

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622 prompts matching "checking each line of a trigonometric identity proof"

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Common Mistakes: Expanding the product of two surd brackets

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

Quiz: Rationalising a denominator of the form one over root 3

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Explain Back: The difference of two squares applied to surd conjugates

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Quiz: Checking a surd equation for extraneous roots

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Practice: Solving an equation with a surd on each side

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Spot My Mistake: A binary operation defined on a set of three elements

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Spot My Mistake: Reading closure off an operation table

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Common Mistakes: Closure on a set of three elements under a stated rule

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Quiz: Reading commutativity off a symmetrical operation table

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Common Mistakes: Subtraction as an example of neither law

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Spot My Mistake: Checking distributivity from two operation tables

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Common Mistakes: Distributivity on a set of three elements

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Quiz: Finding the identity element from an operation table

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Practice: Why an identity element must work from both sides

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Spot My Mistake: Finding the inverse of a given element

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Quiz: The law for dividing powers of the same base

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