Maths Syllabus
You can see the maths syllabus from Year 1 to Year 12 on this page.
Year 1
Counting
Count the numbers up to 100 | Forward counting | Backward counting | Writing spellings of numbers | Count by 2 and 3
Year 2
Data
Data tables | Picture graphs
Measurement
Time | Area | Volume | Capacity
Counting
Count by 5, 10 and 100 | Forward counting using Number line | Backward counting using number line | Split strategy | Tables | Grouping | Division | Multiplication
Number
Representing Numbers in Thousands, Hundreds, Tens and Units | Addition & Subtraction | Multiplication & Division | Number Patterns | Fractions
Year 3
Number
Representing Numbers in Thousands, Hundreds, Tens and Units | Addition & Subtraction | Multiplication & Division | Number Patterns | Fractions | Chance
Shapes
Common 1D Shapes | Common 2D Shapes | Simple 3D Shapes
Data
Data Tables | Picture Graphs
Measurement
Time | Mass | Length | Area | Volume
Space
Map Legends, Directions | Tables
Year 4
Number
Representing Numbers | Addition & Subtraction | Multiplication & Division | Number Patterns | Fractions | Decimals | Percentages | Chance
Data
Data Tables | Picture Graphs
Space
Tessellations | Angles | 2D & 3D Shapes
Measurement
Time | Mass | Length | Perimeter | Area | Volume | Capacity
Year 5
Number
Roman Numbers | Place Value | Factors and Multiples | Operations on Whole Numbers |Unit Fractions: Comparison & Equivalence | Operations on Decimals: Money problems
Chance & Data
Simple & Everyday Events | Picture Graphs | Column Graphs |Simple Line Graphs | Mean
Algebra & Patterns
Simple Geometric Patterns | Simple Number Patterns | Rules of Patterns & Predicting
Measurement: Length & Area
Units of Measurement: Converting and Applying | Perimeter | Area Problems
Measurement: Volume & Capacity
Determining Volume From Diagrams | Units of Measurement: Converting and Applying
| Relationship Between Volume and Capacity
Mass and Time
Units of Mass Measurement: Converting and Applying | Estimating Mass | Notations of Time: AM, PM, 12 Hour and 24 Hour Clocks | Elapsed Time, Time Zones
Space
Types and Properties of Triangles | Types, and Properties of Quadrilaterals | Prisms & Pyramids | Maps: Coordinates, Scales & Routes
Year 6
Number
Negative Numbers | Place Value | Operations on Whole Numbers
Fractions
Adding fractions (with the same denominator or a multiple of the other) | Finding fractions of a number | Converting an improper fraction into a mixed numeral | Multiple simple fractions
Decimals
Adding decimals | Multiply decimals by 10 | Divide decimals by 10
Patterns
Create patterns using whole numbers, fractions and decimals | Describe patterns | Determine rules for pattern | Use a pattern rule to find missing numbers in a pattern
Percentages
Convert percentage to decimals | Convert decimal to percentage | Convert percentage to fractions | Convert fractions to percentage
Chance & Data
Assigning Probabilities | Pie Graphs | Mean
Algebra & Patterns
Calculating Values | Number Patterns
Measurement
Distance & Travel | Area | Volume & Capacity – converting between Litres and milliliters and vice versa | Mass – convert between grams kilograms and tonnes | Time – 24 hour time | reading timetables and timeline
Space
Representation of 3D Shapes | Angles | Using Maps
Year 7
Number
Number Groups & Families | Directed Numbers | Fractions | Fractions | Decimals | Percentages | Ratios | Probability
Algebra
Representing Variables | Simplifying Expressions | Geometric Patterns | Number Patterns | Graphing Patterns
Data
Representing Data | Travel Graphs | Mean, Mode & Median
Measurement
Perimeter & Circumference | Units of Measurement | Pythagoras’ Theorem | Surface Area | Volume of Prisms
Space
3 Dimensional Shapes | Labelling Lines, Angles & Shapes | Congruence & Similarity
Year 8
Number
Number Groups & Families | Directed Numbers | Fractions & Mixed Numerals | Decimals | Fractions | Percentage | Mental Division Strategies | Chance
Algebra
Equivalent Expressions | Rules, Patterns & Tables of Values | Factorization | Solving Linear Equations & Inequalities | Graphing Linear Equations
Data
Data Representation | Data Analysis
Measurement
Applications of Pythagoras’ Theorem | Circles: Area & Perimeter | Volume of Cylinders | Irregular Prisms
Space
Polyhedron | Angle Relationships | Circles & Scale Factors
Year 9
Number
Indices | Scientific Notation | Significant Figures | Consumer Arithmetic
Chance & Data
Simple Probability | Data Representation & Analysis
Algebraic Expressions
Simplifying Expressions Using Index Laws | Expressions Involving Fractions | Solving Equations | Fractional & Negative Indices | Expanding & Factorizing
Coordinate Geometry
Determining Midpoint, Length & Gradient | Graphing Linear Relationships | Gradient/Intercept Form of Linear Equations
Measurement
Area | Perimeter | Volume | Surface Area |Trigonometry
Year 10
Number
Surds | Indices | Consumer Arithmetic | Recurring Decimals | Rates
Chance & Data
Probability | Data Representation & Analysis
Algebraic Techniques
Simultaneous Equations | Parabola | Hyperbola | Cubic | Exponential | Circles | Solving Quadratic Equations | Rearranging Equations | Graphing Regions
Measurement
Non-Right Angled Triangles | Bearings
Space
Congruence & Similarity | Triangle Proofs | Properties of Quadrilaterals
Year 11
Basic Arithmetic & Algebra
Rational Numbers | Surds | Inequalities | Absolute Values | Algebraic Expressions |
Linear expressions | Quadratic Expressions
Real Functions
Range, Domain & Variables | Properties of Graphs of Real Functions | Geometric Representation | Graphing Inequalities
Basic Trigonometry
Trigonometric Ratios and Identities | Angles of Elevation & Bearings | Non-right Angled Triangles
Lines & Linear Functions
Algebraic Properties of Lines | Intersection of Lines | Distance & Midpoints
Quadratic Polynomials
Graphical Representation of Properties | Identities & Determinants | Equations of Parabolas
Trigonometry
Angles formed by Transversals | Similarity | Congruence | Pythagoras’ Theorem | Area Calculations
Derivative of a Function
Continuity | Secant to a Curve | Methods of Differentiation
Year 12 General
Financial Mathematics
Earning Money | Taxation | Credit & Borrowing | Annuities & Loan Repayments | Depreciation
Data Analysis
Data Collection & Sampling | Mean, Median & Spread of Data | Representing Data | Normal Distribution | Correlation
Measurement
Units of Measurement | Applications of Area & Volume | Similarity | Right Angled Triangles | Further Applications of Trigonometry | Spherical Geometry
Probability
Simple Probability | Multi-stage Events | Applications of Probability
Algebraic Modelling
Algebraic Skills & Techniques | Modelling Linear Relationships | Modelling Non-linear Relationships
Year 11 – 12 (2/3 Unit)
- Basic arithmetic and algebra
- Plane geometry
- Probability
- Real functions of a real variable and their geometrical representation
- Trigonometric ratios – review and some preliminary results
- Linear functions and lines
- Series and applications
- The tangent to a curve and the derivative of a function
- The quadratic polynomial and the parabola
- Geometrical applications of differentiation
- Integration
- Logarithmic and exponential functions
- The trigonometric functions
- Applications of calculus to the physical world
- Inverse functions and the inverse trigonometric functions
- Polynomials
- Binomial theorem
- Permutations, combinations and further probability
Year 12 (4 Unit)
- Graphs
- Complex numbers
- Conics
- Integration
- Volume
- Mechanics
- Polynomials
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