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Senior Secondary

Further Mathematics

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755 prompts matching "Simplifying a compound statement using the laws"

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

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

Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

WAEC Prep: Equating the rational and the irrational parts of an equation

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Worked Example: Reading the symbol used for a binary operation

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

Final Revision: Deciding whether a given rule really is a binary operation

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

WAEC Prep: A set closed under one operation but not another

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Final Revision: Why closure is checked before any other property

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Common Mistakes: Subtraction as an example of neither law

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Learn: What it means for one operation to distribute over another

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Worked Example: Testing whether star distributes over plus

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Final Revision: Why distributivity links two operations rather than one

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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Spot My Mistake: Finding the inverse of a given element

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WAEC Prep: The inverse of the identity element itself

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Common Mistakes: Checking an inverse by working the operation both ways

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