Maths Syllabus

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

Why must you choose Vprogress tutors?

Our team of experienced teachers/tutors is committed to improving their students’ knowledge and skills. We thrive in a collaborative environment where teachers and students exchange ideas and work towards better learning experience.

Some of the factors that distinguish us from other tutoring providers are;

  • The majority of our teachers hold PhD. or Master degree.
  • We have a professional team of highly experienced and competent teachers. We strictly verify their prior experience & academic credentials, before choosing them.
  • A thorough background check of our teachers is done. It ensures that they are reliable and have no criminal history etc.
  • Our tutors can deliver the lessons at your home; at your local public library; or at a premise convenient for you.
  • Our teachers hold working with children check required by New South Wales Education norms.
  • Vprogress trains its teachers to work effectively with students with special needs and learning disabilities.
  • Should you wish to change a tutor during the term; we will provide a better replacement free of cost.
  • Group lessons are offered as a cost-effective deal for Australian families.
  • Our services are cost effective.

Please fill the form below to receive a call back from us.

I agree to vProgress Privacy Policy and Terms and Conditions
* All information is confidential.