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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Practice: The middle term when the power is odd"

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Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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

Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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

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

Spot My Mistake: Simplifying the denominator once the conjugate has been used

Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on

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

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

Common Mistakes: Subtraction as an example of neither law

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

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

You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio

Worked Example: Testing whether star distributes over plus

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin

Spot My Mistake: Finding the inverse of a given element

Act as my SS1 Further Mathematics tutor. Work a question on finding the inverse of a given

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

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Final Revision: Identity and inverse together, and what they give the set

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Worked Example: The law for multiplying powers of the same base

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of e

Spot My Mistake: The logarithm of the base itself

Act as my SS1 Further Mathematics tutor. Work a question on the logarithm of the base itse

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