5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Basic data structures and maths/stats functionality given.

You can configure the rest.

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Students will analyze a graph of a quadratic function to identify the x-intercepts (or Roots, or Zeros).

Students will locate and write the ordered pair for the vertex of a quadratic function from a graph.

Students will analyze the graph of a quadratic function, and then write the equation in either Standard Form or Vertex Form.

A function which renders the factorisation of a number in LaTeX.

Students will locate and write the equation for the axis of symmetry of a quardatic function from graph.

No description given

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

Rearranging equations to change the subject

5 indefinite integrals containing exponential functions

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Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Find the coordinates of the stationary point for $f: D \rightarrow \mathbb{R}$: $f(x,y) = a + be^{-(x-c)^2-(y-d)^2}$, $D$ is a disk centre $(c,d)$.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Turning points of a cubic function

Turning points of a cubic function

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

rebelmaths

rebelmaths

Example of displaying a randomly chosen image.