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Mathematics

AI prompts for senior secondary learners.

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747 prompts matching "Show that, hence find: The locus of points equidistant from two lines"

Teach me: Integration as the reverse of differentiation

You are my personal SS3 Mathematics tutor. Teach me integration as the reverse of differen

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Quiz me: The rule for integrating a power of x

Act as my SS3 Mathematics tutor and quiz me on the rule for integrating a power of x. Ask

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Explain back: Why the constant of integration is needed

I have just studied why the constant of integration is needed in my SS3 Mathematics class.

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Spot my mistake: Forgetting the constant of integration in an indefinite integral

Act as my SS3 Mathematics tutor. Work a question on forgetting the constant of integration

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Explain back: Why the constant of integration cancels in a definite integral

I have just studied why the constant of integration cancels in a definite integral in my S

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Quiz me: The vector joining two points, found from their position vectors

Act as my SS3 Mathematics tutor and quiz me on the vector joining two points, found from t

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Quiz me: Reflecting a point in the x-axis and in the y-axis

Act as my SS3 Mathematics tutor and quiz me on reflecting a point in the x-axis and in the

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Explain back: Reflecting a point in the line y equals x

I have just studied reflecting a point in the line y equals x in my SS3 Mathematics class.

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Worked example: Finding the mirror line from an object and its image

Act as my SS3 Mathematics tutor. Take me through one full worked example on finding the mi

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Quiz me: Rotating a point 90 degrees about the origin

Act as my SS3 Mathematics tutor and quiz me on rotating a point 90 degrees about the origi

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Explain back: Rotating a point 180 degrees about the origin

I have just studied rotating a point 180 degrees about the origin in my SS3 Mathematics cl

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Quiz me: Adding and subtracting matrices of the same order

Act as my SS3 Mathematics tutor and quiz me on adding and subtracting matrices of the same

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Teach me: The determinant of a 2 by 2 matrix

You are my personal SS3 Mathematics tutor. Teach me the determinant of a 2 by 2 matrix, wo

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Explain back: The inverse of a 2 by 2 matrix and the formula for it

I have just studied the inverse of a 2 by 2 matrix and the formula for it in my SS3 Mathem

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Teach me: The shape of a quadratic graph, and what the sign of a does to it

You are my personal SS3 Mathematics tutor. Teach me the shape of a quadratic graph, and wh

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Spot my mistake: Reading the intersection off the wrong axis

Act as my SS3 Mathematics tutor. Work a question on reading the intersection off the wrong

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Spot my mistake: Shading the wrong side of a boundary line

Act as my SS3 Mathematics tutor. Work a question on shading the wrong side of a boundary l

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Worked example: Testing the vertices of the feasible region

Act as my SS3 Mathematics tutor. Take me through one full worked example on testing the ve

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Spot my mistake: Plotting cumulative frequency at the class midpoint

Act as my SS3 Mathematics tutor. Work a question on plotting cumulative frequency at the c

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Quiz me: Calculating the mean before finding the deviations

Act as my SS3 Mathematics tutor and quiz me on calculating the mean before finding the dev

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