### 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

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 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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