This is a quick over view of the topics in the M7 CCEA GCSE Maths curriculum.

**M7 is the completion paper **and the **gateway paper is M3.** Read about the M3 CCEA GCSE Maths Curriculum here.

Buy our M7 CCEA Style Practice Papers here.

## M7 CCEA GCSE Maths Curriculum – Foundation

M7 – this can be sat in January or June and makes up 55% of the overall score. The final grades the can be achieved are B – E. 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, M5 and M6 before learning the M7 curriculum.

#### Learning Outcomes For M7 CCEA GCSE Maths Curriculum:

##### Number and Algebra

- use surds and π in exact calculations
- use index notation and index laws for zero, positive and negative powers
- interpret, order and calculate with numbers written in standard index form
- use index laws in algebra for integer powers
- set up and solve two linear simultaneous equations algebraically
- solve linear inequalities in two variables representing the solution set on a graph
- change the subject of a formula, including cases where a power or root of the subject appears and cases where the subject appears in more than one term
- find the nth term of non-linear sequences
- recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions and the reciprocal function \(y=\frac{a}{x}\) with \(x\) ≠ \(0\)
- generate points and plot graphs of simple quadratic functions and use these to find approximate solutions for points of intersection with lines of the form \(y=mx+c\)
- set up equations and solve problems involving direct proportion, including graphical and algebraic representations

##### Geometry and Measures

- describe and transform 2D shapes using combined transformations
- describe and transform 2D shapes using reflections in the lines \(y=\pm x\)
- describe and transform 2D shapes using enlargements by a fractional scale factor
- understand and use the effect of enlargement on the volume of solid
- use the relationship between the ratios of lengths and areas of similar 2D shapes

##### Data Handling

- use the product rule for counting: if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n
- know when to add or multiply two probabilities: if A and B are mutually exclusive, then the probability of A or B occurring is P(A) + P(B), whereas if A and B are independent events, the probability of A and B occurring is P(A) × P(B)
- use tree diagrams to represent successive events that are independent

Find out more on the CCEA website.

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