This is a quick over view of the topics in the M8 CCEA GCSE Maths curriculum.

**M8 is the completion paper **and the **gateway paper is M4.** Read about the M4 CCEA GCSE Maths Curriculum here.

Buy our M8 CCEA Style Practice Papers here.

## M8 CCEA GCSE Maths Curriculum – Foundation

M8 – this can be sat in January or June and makes up 55% of the overall score. The final grades the can be achieved are A* – D. The exam is made up of 2 papers that are each 1 hour and 15 minutes long. There is a calculator and a calculator paper.

Students should know the curriculum from M1, M2, M3, M4, M5, M6 and M7 before learning the M8 curriculum.

#### Learning Outcomes For M8 CCEA GCSE Maths Curriculum:

##### Number and Algebra

- distinguish between rational and irrational numbers
- change a recurring decimal to a fraction
- use index notation and index laws for integer, fractional and negative powers
- set up, solve and interpret the answers in growth and decay problems, for example use the formula for compound interest
- simplify numerical expressions involving surds, including the rationalisation of the denominator of a fraction such as \(\frac{5}{3\sqrt{2}}\)
- use index laws in algebra for integer, fractional and negative powers
- set up and solve two simultaneous equations, one linear and one non-linear
- recognise, sketch and interpret graphs of exponential functions \(y=k^{x}\)for positive values of k, for example growth and decay rates
- find the intersection points of the graphs of a linear and quadratic function, knowing that these are the approximate solutions of the corresponding simultaneous equations representing the linear and quadratic functions, which may require algebraic manipulation.
- interpret the gradient at a point on a curve as the instantaneous rate of change
- recognise and use the equation of a circle, centre the origin and radius r
- find the equation of a tangent to a circle at a given point on the circle
- set up equations and solve problems involving indirect proportion, including graphical and algebraic representations

##### Geometry and Measures

- understand and use the sine and cosine rules
- calculate the area of a triangle using \(A=\frac{1}{2}ab\sin C\)
- use Pythagoras’ theorem and trigonometry to solve 2D and 3D problems
- enlarge 2D shapes using negative scale factors; use the relationship between the ratios of lengths, areas and volumes of similar 3D shapes

##### Data Handling

- use the most appropriate method when solving complex probability problems
- use tree diagrams to represent successive events that are not independent

Find out more on the CCEA website.

Not sure which CCEA exam your child is sitting? Click here.