**Maths Syllabus**

You can see the maths syllabus from Year 1 to Year 12 on this page.

__Year 1__

__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__

__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__

__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__

__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 | P****erimeter | ****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 | E****lapsed Time, Time Zones**

**Space**

** Types and Properties of Triangles | Types, and Properties of Quadrilaterals | Prisms & Pyramids | Maps: Coordinates, Scales & Routes**

__Year 6__

__Year 6__

**Number**

** Negative Numbers | P****lace 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 | U****se 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__

__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__

__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__

__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__

__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__

__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__

__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)__

__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)__

__Year 12 (4 Unit)__

**Graphs****Complex numbers****Conics****Integration****Volume****Mechanics****Polynomials**

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