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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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482 prompts matching "Differentiating one over x from first principles"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

Final Revision: Surds that cannot be combined at all

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

Worked Example: Adding two surds that simplify to the same root

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

Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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

Worked Example: Rationalising a denominator that is a single surd

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

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

Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

Worked Example: Why multiplying by the conjugate clears the surd

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

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

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

Final Revision: Checking a conjugate answer by multiplying back

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

Worked Example: Squaring both sides safely when solving a surd equation

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

Spot My Mistake: Solving a surd equation that leads to a quadratic

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

Final Revision: A word problem that leads to an equation in surd form

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

Worked Example: Reading the symbol used for a binary operation

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

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

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

Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on

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

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

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