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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "The alternative sum formula that uses the last term"

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Quiz: Completing the square on x squared plus 6x

Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared

Practice: Working through a quadratic by completing the square, step by step

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Explain Back: An answer left in surd form after completing the square

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Spot My Mistake: Completing the square when the roots are not real

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Practice: Giving the roots correct to two decimal places

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Explain Back: Leaving the roots of a quadratic in surd form

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Worked Example: The product of the roots as c over a

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Learn: What makes an expression in the roots symmetric

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Quiz: The value of one over alpha squared plus one over beta squared

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Practice: The value of alpha to the fourth plus beta to the fourth

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Explain Back: The value of alpha minus beta, all squared

I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati

Spot My Mistake: The value of alpha over beta plus beta over alpha

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Learn: Making one unknown the subject of the linear equation

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Worked Example: Substituting into the quadratic and tidying up

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Practice: Finding the matching value of the second unknown

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Explain Back: Writing the answers as ordered pairs

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Worked Example: The discriminant used as the test for intersection

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Quiz: The condition for two points of intersection

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Practice: The condition for the line to be a tangent

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Explain Back: The condition for the line never to meet the curve

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