BGE (Broad General Education S1 -3)
The BGE aims to cover the following topics in preparation for the Senior Phase in S4-6:
- Whole Numbers
- Decimals
- Percentages
- Negative Numbers
- Algebra
- Metric Measure
- Circles
- Coordinates
- Multiples, Factors & Primes
- Pythagoras
- Fractions
- Speed, Distance & Time
- Money
- Angles
- Circle Properties
- Symmetry
- Scale Drawings
- Trigonometry
- Similarity
- Ratio
- Proportion
- Patterns
- Statistics
- Probability
National 3
A pass at National 2 or to have been working towards level 2 at BGE is required for entry. The course is split into 3 areas of study:
Numeracy
- Adding, Subtracting, Multiplying & Dividing
- Fractions
- Percentages
- Number Problems
- Probability
Manage Money & Data
- Income & Expenditure
- Budgeting
- Saving Plans
- Best Value
- Frequency Tables
- Mean & Range
- Statistics
Shape, Space & Measure
- Perimeter
- Volume
- Patterns
- Units of Measurement
- Scale Drawings
- Time
There is no end-of-course assessment. A pass in each of the above areas is required to complete the course.
National 4
A pass at National 3 or to have been working towards level 3 at BGE is required for entry. The course is split into 3 areas of study:
Numeracy
- Whole Numbers
- Decimals
- Percentages
- Wages & Salaries
- Money
- Speed, Distance & Time
- Fractions
- Area
- Integers
- Proportion
- Volume
- Ratio
Expressions & Formulae
- Algebra
- Factorising
- Circles
- Statistics
- Formulae
- Linear Patterns
- Probability
- Further Area
- Symmetry
- Gradients
- Surface Areas
- Further Volume
Relationships
- Straight Line
- Further Algebra
- Further Formula
- Pythagoras
- Enlargements
- Angles
- Trigonometry
- Statistics
The assessment is made up of an internal non-calculator and a calculator paper.
National 5
A pass at National 4 or to have been working towards level 4 at BGE is required for entry. The course is split into 5 areas of study:
Topic 1
- Fractions
- Percentages
- Pythagoras
- Equations, Inequations & Functions
- Significant Figures
- Scientific Notation
- Trigonometry
Topic 2
- Volume
- Brackets
- Circle Arc & Sectors
- Factorising
- Surds & Indices
- Algebraic Fractions
- Completing the Square
- Gradient
Topic 3
- Straight Line
- Changing the Subject
- Similarity
- Simultaneous Equations
- Circle Properties
- Trigonometric Graphs & Equations
- Trigonometric Identities
Topic 4
- Quadratics
Topic 5
- Trigonometric Area of a Triangle
- Trigonometric Sine & Cosine Rule
- Trigonometric Bearings
- Vectors
- Statistics
- Scatter graphs
The assessment is made up of an external non-calculator and a calculator paper.
Higher
A pass at National 5 is required for entry. The course is split into 5 areas of study:
1
- Straight Line
- Vectors
2
- Quadratic & Polynomials
- Differentiation
- Sets & Functions
3
- Integration
4
- Trigonometry
- Circle
5
- Further Calculus
- Logs and Exponentials
- Wave Function
- Recurrence Relations
The assessment is made up of an external non-calculator and calculator paper.
Advanced Higher
A pass at Higher is required (ideally an A or B) for entry. The course is split into 3 areas of study:
Topic 1
- Binomial Theorem & Partial Fractions
- Differentiation
- Integration
- Functions & Graphs
- System of Equations
Topic 2
- Further Differentiation
- Further Integration
- Complex Numbers
- Sequences & Series
- Number Theory
Topic 3
- Vectors
- Matrices
- Further Sequences & Series
- Further Differential Equations
- Further Number Theory
The assessment is made up of an external non-calculator and calculator paper.
