Complete guide to GCSE and iGCSE Mathematics

A lesson which demonstrates to learners how to find the place values of numbers, and then write words from figures and vice versa.

This video explains the order of operation (BIDMAS) which is neede to calculate questions involving a variety of operations.

A lesson demonstrating how to order integers, leading onto being able to order integers including negative numbers.

A lesson which demonstrates how to use a number line to work out answers using negative numbers, and to be able to use the four operations with negative numbers.

This video demonstrates how to add whole numbers, decimal numbers and more than 2 whole numbers.

This lesson demonstrates how to subtract whole numbers, decimal numbers and more than 2 whole numbers.

Lesson demonstrating the standard methods which support learners in being able to multiply numbers.

This lesson demonstrates how to divide large numbers, and moving onto how to divide decimals.

A lesson demonstrating how to multiply by different powers of 10. 10, 100, and a thousand, and then dividing, leading onto working with powers of 10.

A lesson which demonstrates the methods of multipying and dividing decimal numbers.

A lesson which demonstrates how to put numbers into index form, and to calculate numerical numbers from numbers given in powers or square roots.

A lesson which demonstrates how to calculate simple percentage of amounts - 50%, 25% and 10%.

A lesson which describes the different number types: Odd, even, prime, triangular, rational and irrational numbers.

A lesson which shows learners how to round numbers to nearest whole numbers, tens, hundreds and decimal places.

A lesson which explains how to round numbers to significant figures, moving onto how to estimate calculations by rounding values to 1 siginificant figure.

A lesson which demonstrates how to simplify fractions and how to find equivalent fractions.

This lesson demonstrates how to convert between decimals and fractions.

This lesson demonstrates how to convert between decimals and percentages.

This lesson demonstrates how to convert between fractions and percentages.

This lesson demonstrates how to convert between improper fractions & mixed numbers.

A lesson to demonstrate adding and subtracting fractions, starting with same denominators leading to different denominators.

A lesson which demonstrates how to multiply and divide fractions leading to multiplying and dividing mixed numbers.

Lesson which explains how to order decimals, then fractions, leading onto a mix of fractions, decimals and percentages.

An introduction to venn diagrams and a demonstrate on filling in a venn diagram with given data.

A lesson which demonstrates the basic functionality of a scientific calculator.

A lesson demonstrating how to work out a fraction of a quantity, and then find an amount as a fraction of another amount.

A lesson which demonstrates how to simplify ratios and how to share amounts into given ratios.

A lesson which demonstrates how to combine ratios with different integer values.

This lesson introduces the notation for recurring decimals and explains how to convert fractions to recurring decimals.

A lesson which shows learners how to find all the factors of a number, leading onto being able to find the highest common factors (HCF) of 2 or more numbers.

Lesson which explains how to find multiples of a number, leading onto being able to find the lowest common multiple (LCM) of 2 or more numbers.

A lesson which explains how to create a prime factor tree, leading onto writing a number of a product of it's prime factors.

A lesson which demonstrates how to fill in Venn Diagrams, and then use the to find HCF and LCM.

This lesson demonstrates how to be able to read bus/train timetables, and using them to find lengths of journeys.

A lesson which demonstrates the notations used for inequalities and how to answer questions involving them.

This lesson demonstrates how to read analogue clocks, draw hands on analogue clocks to show time, and how to convert between 12 and 24 hour clocks.

A lesson which demonstrates how to be able to total a bill, to calculate the amount of change from a purchase, and to be able to solve other money problems.

This lesson demonstrates how to use similar calculations to find solutions to other questions which are in some-way related to them.

A lesson which demonstrates what a reciprocal of a whole number and a reciprocal of a fraction is.

This lesson demonstrates how to calculate simple interest of amounts.

This lesson will support learners in being able to plot and read co-ordinates in different quadrants.

This lesson should enable students to identify the difference between expressions, equations, formulaes and identities

This lesson will support learners in being able to simplify algebraic expressions.

After completing this lessons, learners should be able to substiute numbers into increasingly challenging expressions, including mixed variables and extending to negatives.

After this lesson, students should be able to substiute numbers into formulae.

Students should be able to factorise expressions, starting from integer factors, then algebraic factors leading onto combined factors after completing this lesson.

Students should be able to expand and simplify single brackets, starting with 1 bracket moving onto 2 brackets

This lesson will support learners in being able to change the subject of a formulae. This is part 1 of 3 lessons on this topic.

A lesson which demonstrates how to re-arrange and therefore solve one step equations.

Learners should be able to write or derive expressions, equations, formulaes and identities from given information after this lesson.

Students will learn how to solve multiple step equations with unknowns on both sides, with differing order of operations.

Students after this lessons should be able to solve simple two step equations, with differing order of operations.

This lesson demonstrates to learners how to solve inequalities.

Beginning with 1 step inequalities followd by 2 step inequalities, finishing with double sided inequalities.

Afer this lesson students should be able to:

- find the output of a function machine

- find the input of a function machine

- find the missing rule of a function machine

After this lesson, learners should be able to :

- find the output of a double function machine

- find the input of a double function machine

- find the missing rule of a double function machine

This lesson will explain how students should answer trial and improvement questions to find approximate solutions to a specified level of accuracy.

This lesson demonstrates how to work out perpendicular gradients, given just one gradient (using m1 x m2 = -1), leading onto equations of perpendicular lines using y = mx + c

This lesson explains how to find the equations of parallel and perpendicular lines in relation to other given linear equations given a co-ordinate.

This lessons covers drawing and identify nets, shows how to draw 3D shapes on isometric paper, finishing off with how to draw different elevations of shapes.

A lesson showing how to measure items/lines accurately using a ruler, and how to draw lines of certain lengths using a ruler.

This lesson demonstrates how to find the perimeter of a shape by counting, calculating distance with numbers, and moving onto perimeter of compound shapes.

Lesson to support students in being able to classify different types of triangles based on information given.

Lesson which explains the properties of the different types of quadrilaterals.

This lesson demonstrates how to work out the area of a triangle using formula, leading to finding missing dimensions given it's area.

Lesson which covers out the area of a rectangle by counting squares, followed by multiplying dimensions, leading onto compound rectangles.

This lesson explains how to use the parallelogram formula to find area of parallelograms and hence missing sides given it's area.

This lesson explains how to use the trapezium formula to find area of trapeziums and hence missing dimensions given it's area.

This lessons support learners in being able to calculate the area of compound shapes made up of rectangles, triangles, parallelograms, trapeziums and circles.

This lesson demonstrates how to measure and draw angles accurately using a protractor.

A lesson showing the properties and names of different types of angles.

This lesson demonstrates how to find angles in triangles and quadrilaterals based on their angle properties.

Lesson explaining how to find missing angles in a right angle, on a straight line, and around a point.

A lesson which demonstrates how to construct a triangle with a protractor and ruler, and how to construct a triangle with a pair of compasses and a ruler.

This lesson demonstrates shapes' lines of symmetry and their order of rotational symmetry.

Lesson showing how to reflect shapes using a mirror lines, leading onto being able to reflect lines in a linear equation and finishing with describing a transformation ( reflection ) given a first shape and it's reflection.

A lesson explaining what determines if lines are parallel or perpendicular.

Lesson which names each of the parts of a circle, followed by how to calculate the circumference and area of a circle questions, extending to portions of circles.

A lesson to help learners understand and identify congruent shapes.

This lesson how to find a missing side length with the understanding that the shapes are 'similar'.

A lesson to demonstrate how to convert between scaled and real life distances, and how to use scales to find real distances on a map.

A lesson demonstrating how to read scales and add measurement lines on scales.

A lesson which covers how to convert between different metric units of length, mass and volumes.

The lesson covers how to rotate shapes from instructions, leading onto being able to identify and describe how shapes have been rotated.

A lesson which covers the formula involving speed, density and time.

A lesson explaining how to interpret distance time graphs, how to represent a journey on a distance time graph and how to calculate the speed from a distance time graph.

A lesson which covers the formula involving Pressure, Force and area.

A lesson which covers the formula involving Density, mass and volume.

This lesson demontrates how to use conversion graphs to change units.

Lesson which demonstrates how to draw bar charts from given data, followed by an example of how to interpret bar charts / reading information.

Lesson which demonstrates how to draw dual bar charts from given data, followed by an example of how to interpret dual bar charts / reading information.

A lesson which demonstrates Pictograms, how to read, interpret and draw them.

Lesson which explains how to record data in a frequency table and grouping continuous data and record (grouped data) it in a grouped frequency table.

A lesson which demonstrates how to calculate the Median average from an odd number of values, leading onto an even number of values - extending to using negative numbers.

A lesson which demonstrates how to calculate Mean and Mode Averages, and Range from a list of values - extending to using negative numbers.