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Mathematics

AI prompts for senior secondary learners.

📝 2 Mathematics practice tests with answers →📅 36-Week WAEC Study Guide for Mathematics →
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397 prompts matching "Corresponding angles where a transversal cuts two parallel lines"

Real-life Nigeria: Finding the gradient function of a given polynomial

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Teach me: The gradient of a curve as the gradient of its tangent

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Worked example: Finding the equation of a tangent at a point

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WAEC pitfalls: Substituting into the original function instead of the derivative

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Real-life Nigeria: The equation of the normal to a curve at a point

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Worked example: Sketching a cubic using its stationary points

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WAEC pitfalls: Omitting to test the nature of a stationary point

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Real-life Nigeria: Minimising the cost of a described Nigerian container

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Teach me: What dy by dx means as a rate of change

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Worked example: A ladder sliding down a wall as a related-rate problem

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WAEC pitfalls: Substituting the numbers before differentiating

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Real-life Nigeria: A rate of change problem taken from Nigerian manufacturing

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Teach me: Integration as the reverse of differentiation

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Worked example: Integrating a polynomial term by term

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WAEC pitfalls: Dividing by the original index instead of the new one

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Real-life Nigeria: Finding a curve from its gradient function and one point on it

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Teach me: The definite integral and its limits

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Worked example: The area between a curve and the x-axis

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WAEC pitfalls: Ignoring an area that lies below the axis

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Real-life Nigeria: A total quantity found from a rate function over an interval

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