More work on differentiation with trigonometric functions

Real life problems with differentiation

Finding the stationary points of a cubic with two turning points

Using the chain rule within product rule problems

Using the chain rule with polynomials and negative powers

A basic introduction to differentiation

Solving integration by substitution without help

More difficult trigonometric equations with radians

More difficult trigonometric equations with degrees

Trigonometric equations with radians

Trigonometric equations with degrees

Simple trig equations with radians

Simple trig equations with degrees

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

Using the chain rule within product rule problems.

Testing factorisation of quadratics.

Graphing $y=a\log_{b}(x)+c$

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Graphing $y=a\log_{b}(\pm x+d)+c$

Applied questions that could be done with modulo arithmetic.

Applied questions that could be done with modulo arithmetic.

Compute the experimental probability of a particular score on a die given a sample of throws, and compare it with the theoretical probability.

The last part asks what you expect to happen to the experimental probability as the sample size increases.

Given the common difference and first term of an arithmetic sequence, work out the index of the nth term of the sequence.

Framed as a word problem with ticket numbers in an ice cream shop.

Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.

Each part is broken into steps, with the formula given.

Given sequences with missing terms, find the common difference between terms.

Given arithmetic sequences with some terms missing, fill in the missing terms.

This question tests the student's ability to find remainders using the remainder theorem. 

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Graphing exponentials with a base between 0 and 1 and no transformations take place.

Graphing $y=ab^{\pm x+d}+c$