1,334 prompts matching "Give me practice with the quadratic formula"
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Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
Final revision: my three hardest Further Maths topics
Ask me which three SS3 Further Mathematics topics I find hardest, then set me one focused
Worked Example: The intersection of two overlapping sets
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
I have just studied rationalising a denominator of the form a plus root b using the conjug
Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Explain Back: The laws of logarithms for a product and for a quotient
I have just studied the laws of logarithms for a product and for a quotient in my SS3 Furt
Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Explain Back: The range of values of k for which the roots are real
I have just studied the range of values of k for which the roots are real in my SS3 Furthe
Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The difference between a permutation and a combination
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Show All Working: Counting the handshakes, or the lines joining n points
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Worked Example: The shape, period and range of the cosine curve
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Explain Back: The effect of b in y equals sin bx on the period
I have just studied the effect of b in y equals sin bx on the period in my SS3 Further Mat
Common Mistakes: The angle between two lines found from their gradients
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