Mathematics
Third Level · Curriculum for Excellence
Third Level maths (typically S1 to S2) is where arithmetic becomes algebra. Pupils work confidently with negative numbers, indices, fractions, decimals and percentages, then apply that fluency to expressions, formulae and linear equations: collecting like terms, expanding brackets and solving for an unknown.
Geometry expands into angle rules with parallel lines, Pythagoras' theorem, circle properties, area and volume of composite shapes, scale drawings and transformations. Statistics covers frequency tables, the mean, median, mode and range, and interpreting graphs critically.
Third Level is the foundation the National 4 and National 5 courses are built on. Pupils who solidify algebra here almost always find National 5 manageable; pupils who don't, generally struggle with it.
Important Topics
- Number & Number ProcessesNegative numbers, indices, order of operations and accurate calculation without a calculator.
- Fractions, Decimals & PercentagesConversion, percentage increase and decrease, and problems in a money context.
- Ratio, Proportion & RateDirect proportion, sharing in a ratio, speed, distance and time.
- AlgebraSimplifying expressions, expanding brackets, using formulae and solving linear equations.
- Patterns & RelationshipsSequences, the nth term, and plotting straight-line graphs.
- Shape, Space & MeasureAngle rules, Pythagoras, circles, area, volume, scale and transformations.
- Statistics & ProbabilityAverages, range, frequency tables, graph interpretation and calculating probability.
Ready To Strengthen Your Child's Learning?
Book a free Mathematics demo class for Third Level · Curriculum for Excellence.