Factorising polynomials using the highest common factor

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A basic introduction to differentiation

A basic introduction to differentiation

Using the chain rule with polynomials and negative powers

Introduction to using the product rule

Using the chain rule within product rule problems

An introduction to using the quotient rule

Identifying the correct rule to use

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Finding the stationary points of a cubic with two turning points

Real life problems with differentiation

Another practical application of differentiation

More work on differentiation with fractional coefficients

More work on differentiation with fractional coefficients and powers

Differentiation of trigonometric functions

Differentiating exponentials

Differentiating further exponentials

Differentiating the natural logarithm

Students are given a graph of a cubic, and are asked to find the equation for it.

Ask the student if a given set of data are discrete or continuous

Ask the student if a given set of data are quantitative or qualitative.

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Compute the means of two small samples.

Find the medians of two sets of data.

Calculate the mean, range, and variance of a small sample.

Find the modes of two small samples.

Compute the standard error of a sample mean, given the sample size and standard deviation.