755 prompts matching "Structured question: stationary point on a curve with an unknown constant"
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Practice: Collecting similar surds in an expression
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Common Mistakes: Expanding the product of two surd brackets
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Explain Back: Simplifying the answer once the denominator is rational
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Show All Working: Checking a rationalised answer by decimal approximation
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Explain Back: Solving an equation where the surd must be isolated first
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Explain Back: What it means for an operation to be associative
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Checking an inverse by working the operation both ways
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Explain Back: A fractional index with a numerator above one
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Show All Working: Simplifying an expression that mixes the index types
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Worked Example: Solving an indicial equation where one side must be factorised first
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Show All Working: A word problem that leads to an indicial equation
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Common Mistakes: An indicial equation solved by substitution
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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.
Worked Example: Converting a logarithm to base ten so that tables can be used
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Practice: The relation between log a of b and log b of a
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Worked Example: Finding the common difference of an arithmetic progression
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