# Mathematics

In S1- S3, all students continue to work through the national Experiences and Outcomes of the Broad General Education at the appropriate level. They attend 4 periods of Maths per week.

**S1 Mathematics**

Students are broad banded using information that is obtained from Primary Schools and also from a Transition Booklet that is completed over the 1st few weeks of term.

The S1 course is split into 4 blocks, with a focus on Numeracy in blocks 1 and 2. There is an assessment at the end of each block. All students complete a monthly Rigour Calendar in class at the appropriate level.

Homework is issued once per fortnight. For some students, this will include Numeracy Ninjas.

**S2 Mathematics**

Continuing to develop on knowledge gained in S1, students complete a further 4 blocks in S2. Again, there is an assessment at the end of each block. We continue to complete a monthly Rigour Calendar at the appropriate level.

Homework is issued once per fortnight, with an expectation that the pupils will also complete some nightly ‘finishing off’ homework.

**S3 Mathematics**

Classes are set in S3 with students studying courses to help them reach their full potential. Students will follow courses which continue to meet the Experiences and Outcomes of the Broad General Education whilst starting to prepare for National Qualifications in S4 and beyond.

##### S3 N5:

2 classes work towards N5 Maths in S4, achieving N5 Numeracy in S3. Progress will be measured by 4 Progress Tests through the year and Monthly Reviews. Homework will be issued on a weekly basis.

**Progress Test 1:**

- Rounding
- Addition, Subtraction, Multiplication & Division
- Fractions
- Percentages

**Progress Test 2:**

- Speed, Distance, Time
- Perimeter
- Area
- Volume

**Progress Test 3:**

- Trigonometry
- Reverse Percentages
- Arcs & Sectors
- Gradient
- Volume Extension

**Progress Test 4:**

- Pythagoras
- Properties of Shape
- Similarity

##### S3 N4:

2 classes work towards N4 Maths in S4, achieving N4 Numeracy in S3. Progress will be measured by 2 Progress Tests, regular Unit tests and Monthly Reviews. Homework will be issued approximately 2-3 times per month.

**Progress Test 1: **

- Rounding
- Addition, Subtraction, Multiplication & Division
- Fractions
- Percentages
- Money

**Progress Test 2:**

- Speed, Distance, Time
- Perimeter
- Ratio
- Direct Proportion

**Expressions & Formulae 1.1:**

- Simplify & Evaluate Expressions
- Expand Single Bracket
- Factorise (Common Factor)
- Linear Number Patterns
- Gradient

**Expressions & Formulae 1.2:**

- Circles
- Area & Volume
- Symmetry

**Expressions & Formulae 1.3:**

- Statistics

__S3 N3 Applications of Maths__

One class works towards achieving N3 Applications of Maths in S3 and then continuing with N4 Applications of Maths in S4. Progress will be measured by Unit tests and Monthly Reviews. Homework will be issued fortnightly.

**Unit 1:**

- Numeracy
- Finance
- Statistics

**Unit 2:**

- Statistics
- Time
- Finance

**Unit 3:**

- Perimeter & Area
- Volume
- Measure
- Patterns

**Senior Phase (S4-6)**

Pupils attend 5 periods of Maths per week, except for Advanced Higher where pupils are timetabled for 3 periods per week.

##### Advanced Higher Maths

This course builds on knowledge gained through the successful completion of Higher Maths. Progress will be measured by a Prelim Exam in January, 4 Progress Tests through the year and Monthly Reviews. Homework will be issued on a weekly basis.

**Progress Test 1:**

- Partial Fractions
- Binomial Theorem
- Differentiation

**Progress Test 2:**

- Integration
- Sketching Rational Functions
- Differential Equations

**Progress Test 3:**

- Sequences & Series
- Proofs & Number Theory
- Complex Numbers

**Progress Test 4:**

- 3D Geometry
- Matrices

##### Higher Maths

This course builds on knowledge gained through the successful completion of N5 Maths. Progress will be measured by a Prelim Exam in January, 7 Progress Tests through the year and Monthly Reviews. Homework will be issued on a weekly basis.

**Progress Test 1:**

- The Straight Line
- Functions

**Progress Test 2:**

- Differentiation

**Progress Test 3:**

- Trigonometry
- Compound & Double Angle

**Progress Test 4:**

- Quadratics
- Polynomials
- Integration

**Progress Test 5:**

- Vectors
- Circles

**Progress Test 6:**

- Further Calculus
- Recurrence Relations

**Progress Test 7:**

- Exponentials & Logarithms
- The Wave Function

##### N5 Maths

Pupils will continue their studies from S3. Progress will be measured by a Prelim Exam in January, 5 Progress Tests through the year and Monthly Reviews. Homework will be issued on a weekly basis.

**Progress Test 5:**

- Surds & Indices
- Vectors
- Statistics

**Progress Test 6:**

- Expanding Brackets
- Completing the Square
- Factorising

**Progress Test 7:**

- The Straight Line
- Simultaneous Equations
- Changing the Subject

**Progress Test 8:**

- Area of a Triangle
- Sine & Cosine Rules
- Trigonometric Graphs, Equations & Identities

**Progress Test 9:**

- Algebraic Fractions
- Quadratic Functions & Graphs
- Quadratic Formula

##### N5 Numeracy

Pupils who have completed N4 Maths may continue their studies with N5 Numeracy. Progress will be measured by 2 Progress Tests and Monthly Reviews. Once this Unit is complete, pupils will work on topics that would assist them in progressing to N5 Maths the following year.

**Progress Test 1:**

- Rounding
- Addition, Subtraction, Multiplication & Division
- Fractions
- Percentages

**Progress Test 2:**

- Speed, Distance, Time
- Perimeter
- Area
- Volume

##### N4 Maths

Pupils will continue their studies from S3. Progress will be measured by regular Unit tests and Monthly Reviews. Homework will be issued approximately 2-3 times per month.

**Relationships 1.1**

- Solving Equations
- Drawing Straight Lines
- Changing the Subject

**Relationships 1.2**

- Pythagoras
- Scale Factors
- Angles

**Relationships 1.3**

- Trigonometry

**Relationships 1.4**

- Statistics

##### N4 Applications of Maths

This course builds on knowledge gained through the successful completion of N3 Applications of Maths in S3. Progress will be measured by Unit tests and Monthly Reviews. Homework will be issued fortnightly.

**Unit 1:**

- Numeracy
- Area
- Volume
- Finance
- Statistics

**Unit 2:**

- Statistics
- Time
- Changing the Subject
- Pythagoras

**Unit 3:**

- Scattergraphs
- Bearings & Measurement
- Circles

**Unit 4:**

- Foreign Exchange
- Circles
- Scale Factor
- Personal Finance
- Probability