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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Give me practice factorising polynomials with the factor theorem"

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

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

Show All Working: Simplifying an expression that mixes the index types

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Worked Example: Writing an index statement as a logarithm

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

Show All Working: The common logarithm, to base ten

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Worked Example: The law for the logarithm of a quotient

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Worked Example: Writing out the terms of a sequence from its nth term

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Explain Back: Spotting the pattern in a sequence of squares or cubes

I have just studied spotting the pattern in a sequence of squares or cubes in my SS1 Furth

Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: The alternative sum formula that uses the last term

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Explain Back: Finding the first term from the sum and the common difference

I have just studied finding the first term from the sum and the common difference in my SS

Common Mistakes: Proving the sum formula by pairing the terms

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Common Mistakes: Inserting a geometric mean between two numbers

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Worked Example: Which form of the sum formula to use when r is less than one

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Show All Working: Writing the solution of an inequality as a set

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Worked Example: The critical values of a quadratic inequality

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Explain Back: The solution when the quadratic expression is greater than nought

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Worked Example: Solving the equation modulus of x equals a

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