1,045 prompts matching "Function machines as an introduction to function notation"
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Final Revision: A word problem solved by factorising a quadratic
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Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
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Common Mistakes: Checking a completed square by expanding it again
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: What the formula gives when the discriminant is nought
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Worked Example: The product of the roots as c over a
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Quiz: Finding the sum and the product without solving the equation
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Practice: Forming an equation from a given sum and product
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Practice: The value of alpha to the fourth plus beta to the fourth
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Show All Working: The point of contact when a line touches a curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Quiz: The leading term and the constant term
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Common Mistakes: Multiplying one polynomial by another
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