# M7 CCEA GCSE Maths Curriculum

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.