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PRIMARY

2 - 6

SECONDARY

7 - 10

SENIOR

11 - 12

CLUEY FOR SCHOOLS

NSW Small Group Learning Program Curriculum

Primary Mathematics

 

Year 3

Students learn operations with numbers that include addition, subtraction, multiplication, and division. They develop greater multiplication skills by learning times tables.

They work with measurements of length and area, volume and capacity, mass and time, identify 2D and 3D space and angles and start graphing statistics in simple graphs.

Students start to learn the appropriate mathematical terminology to explain their problem-solving strategies.

Number

  • Number theory - place value of numbers to 5 digits
  • Operations with number - add, subtract, multiply, divide
  • Number patterns
  • Fractions

Multiplication tables

  • 4, 7, 8, 9 timetables
  • Multiplication strategies

Using money

  • Calculations using money values
  • Practical-related problems using money values

Measurement

  • Length and area
  • Volume and capacity
  • Analog and digital clocks

Geometry

  • Identify 2D and 3D shapes
  • Identify angles in shapes
  • Explore position and direction of maps and plans

Statistics and Probability

  • Column and picture graphs
  • Chance experiments

 

Year 4

Students focus on numerical operations, patterning and fractions increases. They consolidate their knowledge of times tables and start to apply their multiplication skills to increasingly complex problems. 

They focus on developing spatial and temporal understanding to better comprehend 3D shapes and maps and the role of chance in statistics and probability.

Number 

  • Number theory - place value of numbers to 5 digits
  • Operations with number - add, subtract, multiply, divide
  • Number patterns and sentences
  • Fractions and decimals

Multiplication tables 

  • 4, 7, 8, 9 times tables
  • Multiplication strategies

Using money 

  • Calculations using money values
  • Practical-related problems using money values 

Measurement

  • Measuring length, distance and temperature
  • Area of regular and irregular shapes
  • Volume and capacity
  • Times, timelines, timetables and calendars

Geometry

  • 2D and 3D shapes
  • Classify angles
  • Compass direction and scale

Statistics and Probability

  • Representing categorical data
  • Chance

 

Year 5

Students focus on developing skills to allow them to apply place value in digits of any number and demonstrate a more sophisticated understanding of number patterns and fractions. 

They deal with more challenging multiplication problems, including using the formal algorithm, and calculating amounts of money using percentages. 

Number 

  • Positive numbers - multiples and factors 
  • Operations with number - add, subtract, multiply, divide 
  • Number patterns and sentences 
  • Fractions and decimals 

Multiplication tables 

  • 4, 7, 8, 9 times tables 
  • Complex multiplication strategies 

Using money 

  • Calculations using money values 
  • Percentage discounts 
  • Practical-related problems using money values 

Measurement 

  • Length and area 
  • Mass 
  • Volume and capacity
  • 24-hour time

Geometry

  • Prisms and pyramids
  • Classify triangles
  • Transformations in geometry
  • Compass direction and location on maps

Statistics and Probability

  • Collecting and representing data
  • Fundamentals of probability

Problem solving skills

  • Skills and strategies
  • Developing the problem-solving toolkit
  • Application of problem-solving strategies

 

Year 6

Students tackle a more challenging array of questions and start to work with both positive and negative numbers. They apply the rules for the order of operations, add and subtract decimals in real-life contexts and learn to use a Cartesian plane.

By developing the ability to think about the practical application of mathematical rules, students begin to understand and represent data in more sophisticated ways.

Number

  • Number theory - negative and special numbers
  • Operations with number - add, subtract, multiply, divide and order of operations
  • Patterns and relationships
  • Fractions, decimals and percentages

Multiplication tables

  • 4, 7, 8, 9 times tables
  • Complex multiplication strategies

Using money

  • Calculations using money values 
  • Percentage discounts 
  • Practical-related problems using money values 

Measurement

  • Converting units of measurement for mass, length and distance
  • Area of 2D shapes
  • Volume and capacity
  • Timelines and timetables

Geometry

  • Prisms and pyramids
  • Transformations in geometry
  • Classify angles
  • Compass direction and location on maps

Statistics and Probability

  • Graphing categorical data
  • Explore experimental probability

Problem solving skills

  • Skills and strategies
  • Developing the problem-solving toolkit
  • Application of problem-solving strategies

 

 

Primary English

 

Year 3

Students learn about complex language features, varied sentence structures and expand their vocabulary.  They also learn a significant number of new high-frequency sight words and words that need to be decoded phonically, and a range of punctuation conventions, as well as an understanding of how literary devices, illustrations and diagrams make meaning in printed text.  They create a range of written texts of their own for various purposes and audiences. 

Language 

  • Spelling 
  • Grammar 
  • Punctuation 

Writing 

  • Create imaginative, informative and persuasive texts 
  • Edit own texts 
  • Construct texts with written, visual and multimodal components 

Reading fluency and comprehension

  • High-frequency sight words
  • Phonic decoding of unfamiliar words
  • Literal and inferred meaning
  • Effect of literary devices

Literature

  • Fiction and non-fiction texts
  • Picture books and multimodal texts
  • Rhyming verse and poetry

 

Year 4

Students learn about complex language features, varied sentence structures and expand their vocabulary. Reading is reinforced as their fluency increases, with greater ability to recognise high-frequency sight words and decode unfamiliar words phonically.  They create their own texts as they focus on developing progressive control over language for meaning and effect. 

Language 

  • Spelling 
  • Grammar 
  • Punctuation 

Writing 

  • Create imaginative, informative and persuasive texts 
  • Edit own texts 
  • Construct texts with written, visual and multimodal components 

Reading fluency and comprehension

  • High-frequency sight words
  • Phonic decoding of unfamiliar words
  • Literal and inferred meaning
  • Effect of literary devices

Literature 

  • Fiction and non-fiction texts
  • Picture books and multimodal texts
  • Rhyming verse and poetry

 

Year 5

Students learn about text structures and encounter new and more complex language features. They read and analyse texts containing complex sequences, non-stereotypical characters and events that may shift in time. They create a range of texts in which they can apply their understanding of textual construction and theme to consolidate increasing control of language.

Language 

  • Spelling 
  • Grammar 
  • Punctuation 

Writing 

  • Create imaginative, informative and persuasive texts 
  • Edit own texts
  • Construct texts with written, visual and multimodal components

Reading fluency and comprehension

  • Complex sentences and unfamiliar technical vocabulary
  • Literal and inferred meaning
  • Textual structures and graphics
  • Effect of figurative language

Literature

  • Fiction and non-fiction texts
  • Media texts
  • Poetry

 

Year 6

Students build their analytical skills, gaining greater insight into the choices made by the creators of texts and how these impact readers. The focus is on developing a larger technical vocabulary, greater ability to understand abstract meaning and figurative language, mastering a range of text types. Pre-essay writing skills are consolidated in preparation for Year 7.

Language 

  • Spelling 
  • Grammar 
  • Punctuation 

Writing 

  • Create imaginative, informative and persuasive texts
  • Edit own texts
  • Construct texts with written, visual and multimodal components

Reading fluency and comprehension

  • Context, purpose and audience
  • Literal and inferred meaning
  • Textual structures and graphics
  • Effect of figurative language

Literature

  • Fiction and non-fiction texts
  • Media texts
  • Poetry

 

 

Secondary Mathematics

 

Year 7

Students start to explore the use of pronumerals and the language of algebra.  Students develop a range of mental and technological strategies to enhance their computational skills.  They also acquire a variety of ways to demonstrate and communicate their mathematical understanding. 

Number 

  • Tests of divisibility 
  • Index notation and prime factors 
  • The relationship between perfect squares and square roots 

Computation with integers 

  • Laws of arithmetic 
  • Computation with integers 

Fractions, decimals and percentages 

  • Add and subtract fractions 
  • Multiply and divide fractions 
  • Decimals 
  • Convert between fractions, decimals and percentages 

Algebraic techniques 

  • Language of algebra 
  • Equivalent algebraic expressions 
  • Simplifying algebraic expressions 
  • Introduction to equations 

Perimeter, area and volume 

  • Perimeter of plane shapes 
  • Area of plane shapes 
  • Volume of right prisms 

Time 

  • Time calculations 
  • Time zones 

Angle relationships 

  • Types of angles 
  • Angle relationships 
  • Investigate parallel lines 

Chance 

  • Language of chance 
  • Investigate theoretical probability 
  • Investigate experimental probability 
  • Two-way tables and Venn diagrams 

Problem solving skills 

  • Skills and strategies 
  • Developing the problem-solving toolkit 
  • Application of problem-solving strategies

 

Year 8

Students consolidate their algebraic skills and develop more sophisticated ways to represent and communicate their mathematical understanding. They cover the key curriculum components of financial mathematics, ratios and rates, linear and non-linear relationships, data, circles and cylinders and properties of geometrical figures.   

Financial Mathematics

  • Percentages and money 

Ratios and rates

  • Working with ratios 
  • Unitary method and best buys 
  • Distance, time and speed problems 
  • Distance-time graphs 

Algebraic techniques

  • Develop equation skills 

Indices

  • Index notations 
  • Index laws with a numerical base 

Linear relationships

  • Cartesian plane 
  • Table of values 
  • Finding a rule 
  • Graphing lines 

Circles and cylinders

  • Circle terminology 
  • Circumference of a circle 
  • Area of a circle
  • Volume of a cylinder

Pythagoras’ theorem

  • Discover Pythagoras’ theorem
  • Finding unknown sides
  • Solve practical problems

Properties of geometrical figures

  • Properties of triangles and quadrilaterals 
  • Transformations in geometry
  • Congruent figures

Data 

  • Collecting data
  • Calculating statistics
  • Displaying and interpreting data

Problem solving skills

  • Skills and strategies
  • Developing the problem-solving toolkit
  • Application of problem-solving strategies

 

Year 9

The program covers Number and Algebra, Measurement and Geometry, Statistics and Probability, and introduces the study of Trigonometry.  Students use appropriate strategies to solve problems and link mathematical ideas and the relevant terminology and notations to explain their thinking processes.  

Our Year 9 program places a great deal of importance on consolidating prior mathematical knowledge and laying the strongest foundations for senior Mathematics at every level. 

Financial Mathematics 

  • Earning money 
  • Income tax 
  • Calculating simple interest 

Indices 

  • Index laws 
  • Scientific notation 

Linear relationships 

  • Midpoint, length and gradient of a straight line 
  • Graph and interpret straight lines 
  • Equation of a line 
  • Parallel and perpendicular lines 

Algebraic techniques 

  • Equations 
  • Inequations 
  • Simultaneous equations 

Area, surface area and volume

  • Area of 2D shapes 
  • Surface area of right prisms
  • Volume of right prisms 

Properties of geometrical figures

  • Interior and exterior angles of polygons
  • Congruent and similar figures

Trigonometry

  • Defining trigonometric ratios
  • Finding unknown sides and angles

Single variable data analysis 

  • Mean, median, mode and range
  • Frequency tables, histograms and polygons
  • Five-number summary and box plots

Probability 

  • Two-way tables and Venn diagrams
  • Arrays and tree diagrams
  • Relative frequency

 

Year 10

Students build on their algebraic techniques and their application to linear and non-linear graphs. They examine proportion and rates of change and apply then to practical problems. Students build on their understanding and practices of trigonometry, congruence, similarity, surface area and volume within real-world contexts. Statistics is further developed to include analysis of bivariate data. 

Equations 

  • Linear equations and inequations 
  • Simultaneous equations 
  • Expand, factorise and solve quadratics equations 
  • Algebraic fractions 

Linear and non-linear relationships 

  • Sketching parabolas including features and transformations 
  • Sketching exponentials including transformations 
  • Sketching circles 
  • Midpoint, gradient and distance formula 
  • Graph and interpret straight lines 
  • Parallel and perpendicular lines 

Proportion and rates of change 

  • Distance-time graphs 
  • Direct and indirect proportion 

Area, surface area and volume 

  • Accuracy of measurement
  • Surface area and volume 

Properties of geometrical figures

  • Proving congruence
  • Proving similarity

Trigonometry

  • Angles of elevation and depression 
  • Bearings

Univariate and bivariate data

  • Data types
  • Measures of centre and spread
  • Box plots
  • Scatter plots and bivariate data analysis
  • Evaluate statistical reports

Probability 

  • Two-way tables and Venn diagrams
  • Arrays and tree diagrams
  • Independent and dependent events

 

Year 10 – Advanced

The Year 10 Mathematics Advanced program provides students with an opportunity to review and build on mathematical areas of study introduced in Year 9 Mathematics.  Students extend their algebraic techniques to help solve more complex equations and we introduce them to advanced topics including surds, logarithms, polynomials, circle geometry and functions. 

Quadratic equations 

  • Expand, factorise and solve quadratics equations including special identities 
  • Algebraic fractions 

Surds and indices 

  • Rational and irrational numbers 
  • Simplifying surds 
  • Quadratic equations with surds 
  • Index laws and exponential equations 

Linear relationships 

  • Midpoint, distance and gradient formula 
  • Equation of a line formulas 
  • Coordinate geometry problems 

Non-linear relationships 

  • Domain and range 
  • Sketching parabolas using algebraic techniques 
  • Sketching circles, hyperbolas, exponentials, power functions 

Polynomials 

  • Working with polynomials 
  • Remainder and factor theorem 

Logarithms 

  • Logarithmic laws
  • Sketch logarithmic functions 

Surface area and volume

  • Surface area and volume of cones, pyramids and spheres

Trigonometry

  • Angles of elevation and depression
  • Bearings
  • Application of trigonometry to 3D shapes
  • Unit circle
  • Trigonometric graphs
  • Trigonometric equations
  • Non-right-angled trigonometry

Circle geometry

  • Chord and angle properties
  • Tangent and secant properties
  • Circle theorems and applications

Univariate and bivariate data

  • Data types
  • Histograms and plots
  • Measures of centre and spread including standard deviation
  • Scatter plots and bivariate data analysis
  • Line of best fit
  • Evaluate statistical reports

 

 

Secondary English

 

Year 7

Support students with novels and newspapers, poems and plays, digital media and dreamtime stories they are engaging with.  They develop their understanding for the various texts so they can tackle assignments with confidence.  

They leverage a bank of resources and units to support creative and persuasive writing – plus grammar and spelling to give that final polish. They create a range of written texts of their own for various purposes and audiences. 

Writing 

  • Essay writing 
  • Creative writing 
  • Persuasive, Reflective, Discursive, Informative and other writing 

Language 

  • Reading and Vocabulary 
  • Syntax, Grammar, Punctuation and Spelling 
  • The English Language 
  • Media and advertising 

Text analysis and comparison

  • Novels and Short Stories 
  • Shakespeare and Drama
  • Poetry and Song
  • Film, Television and Animation
  • Biographies, Journalism, Speeches, Essays
  • Picture Books, Graphic Novels, Cartoons, Websites

Presenting

  • Speeches, readings and performances
  • Multimodal and tutorial presentations and Viva Voces

 

Year 8

Students refine skills to support essay writing, oral presentations, creative and persuasive writing – and grammar and spelling to give that final polish.  

Writing 

  • Essay writing 
  • Creative writing 
  • Persuasive, Reflective, Discursive, Informative and other writing 

Language 

  • Reading and Vocabulary 
  • Syntax, Grammar, Punctuation and Spelling 
  • The English Language 
  • Media and advertising 

Text analysis and comparison

  • Novels and Short Stories
  • Shakespeare and Drama
  • Poetry and Song
  • Film, Television and Animation
  • Biographies, Journalism, Speeches, Essays
  • Picture Books, Graphic Novels, Cartoons, Websites

Presenting 

  • Speeches, readings and performances
  • Multimodal and tutorial presentations and Viva Voces 

 

Year 9

Students engage in higher order reasoning and increasing abstraction. Students have a great chance to consider their own position in the world as a creator and responder.  Focus is also placed on units for essays, oral presentations, creative and persuasive writing, as well as spelling, syntax and grammar. 

Writing 

  • Essay writing 
  • Creative writing 
  • Persuasive, Reflective, Discursive, Informative and other writing 

Language 

  • Reading and Vocabulary 
  • Syntax, Grammar, Punctuation and Spelling 
  • The English Language 
  • Media and advertising 

Text analysis and comparison 

  • Novels and Short Stories
  • Shakespeare and Drama
  • Poetry and Song
  • Film, Television and Animation
  • Biographies, Journalism, Speeches, Essays
  • Picture Books, Graphic Novels, Cartoons, Websites

Presenting 

  • Speeches, readings and performances
  • Multimodal and tutorial presentations and Viva Voces

 

Year 10

Supporting students as they start to encounter new kinds of texts – hybrids of visual, spoken and written, featuring ethical and global dilemmas, challenging and unpredictable plots. They will be evaluating, comparing and composing increasingly complex writing and performance. 

Writing 

  • Essay writing 
  • Creative writing 
  • Persuasive, Reflective, Discursive, Informative and other writing 

Language 

  • Reading and Vocabulary 
  • Syntax, Grammar, Punctuation and Spelling 
  • The English Language 
  • Media and advertising 

Text analysis and comparison

  • Novels and Short Stories
  • Shakespeare and Drama
  • Poetry and Song
  • Film, Television and Animation
  • Biographies, Journalism, Speeches, Essays
  • Picture Books, Graphic Novels, Cartoons, Websites

Presenting

  • Speeches, readings and performances
  • Multimodal and tutorial presentations and Viva Voces

 

 

Senior Secondary Mathematics

 

Year 11 – Advanced

Students investigate graphical relationships of functions and relations. The study of trigonometry is further explored with the introduction of reciprocal functions and special identities.  

Students gain conceptual understanding of differential calculus by investigating rates of change.  Developing mastery of differentiation techniques enables students to solve related problems such as describing the motion of a particle. In addition, students explore logarithmic and exponential functions, theoretical and experimental probability and the introduction of discrete probability distributions. 

Functions 

  • Algebraic Techniques 
  • Functions and graphs 

Trigonometric Functions 

  • Trigonometry and measure of angles 
  • Trigonometric functions and identities 

Calculus 

  • Introduction to Differentiation 

Exponential and Logarithmic functions 

  • Introduction to Differentiation 

Statistical Analysis 

  • Probability and Venn diagrams 
  • Discrete random variables 1 

 

Year 11 – Extension 1

Students develop algebraic and geometric strategies to solve inequalities. Inverse function and parametric form of a function is defined and applied to solve a range of questions.  

Students also learn algebraic methods to solve equations of polynomials. Inverse trigonometric functions are examined including their properties and graphs which are applied to a variety of abstract and practical situations.  Students gain the necessary practice to develop mastery over complex trigonometric identities. 

In addition, students are introduced to the application of calculus to the physical world including exponential growth and decay and related rates of change. A new area of study, Combinatorics is introduced. Students build skills to solve both permutation and combination questions. This is extended into binomial expansion and Pascal’s triangle. 

Functions 

  • Further work with functions 
  • Polynomials 

Trigonometric Functions 

  • Inverse Trigonometric Functions 
  • Further trigonometric identities 

Calculus 

  • Rates of change 

Combinatorics 

  • Working with combinatorics 

 

Year 11 – Standard

Students explore the application of linear relationships and measurement to problems with real-world application. Students also develop an awareness of the relationships between different countries through a study of Earth geometry.  They investigate flat-rate interest, income tax and budgets to help develop their ability to make informed financial decisions. In addition, they further explore Probability and Statistics including the introduction of new practices. 

Algebra 

  • Algebra and Linear Modelling 

Measurement 

  • Applications of Measurement 
  • Working with Time 

Financial Mathematics 

  • Money Matters 

Statistical Analysis 

  • Data Analysis 

 

Year 12 – Advanced

Students develop graphical techniques such as transformations of various functions including trigonometric functions. Students also learn further calculus techniques which help to describe the behaviour of graphs and functions as well as solve optimisation problems. The concept of the anti-derivative is examined and developed into methods for finding the area under a curve.  

In addition, students learn to select appropriate techniques when working with arithmetic and geometric sequences and their application to financial situations. They review bivariate data analysis methods and investigate continuous random variables and the normal distribution. 

Functions 

  • Graphing techniques 

Trigonometric Functions 

  • Trigonometric Functions 

Calculus 

  • Differential Calculus 
  • Applications of Differentiation 
  • Integral Calculus 

Financial Mathematics 

  • Modelling financial situations 

 

Year 12 – Extension 1

Students build mastery of the technique of proof by mathematical induction to prove results. Students also explore vectors and their application to real-world problems. They achieve mastery of advanced methods to solve trigonometric equations through practice.  

Students further develop their calculus techniques to determine volumes of solids of revolution. The Binomial Distribution is also investigated as part of our program. 

Proof 

  • Proof by Mathematical Induction 

Vectors 

  • Introduction to Vectors 

Trigonometric Functions 

  • Trigonometric equations 

Calculus 

  • Further calculus skills 
  • Applications of Calculus 

Statistical Analysis 

  • The Binomial Distribution 

 

Year 12 – Standard

Students develop their understanding of non-linear functions and how they can be used to model practical problems.  Students also develop mathematical techniques to provide solutions to investment, loan and annuity problems.  

Statistical analysis techniques including bivariate data analysis and the normal distribution are introduced. In addition, the study of non-right-angled geometry is expanded to solve radial surveys. An investigation into networks and critical path analysis enables students to find solutions to real-world applications. 

Algebra 

  • Types of relationships 

Measurement 

  • Non-right-angled trigonometry 
  • Rates and ratios 

Financial Mathematics 

  • Investments and loans 
  • Annuities 

Statistical Analysis 

  • Bivariate data analysis 
  • The Normal distribution 

Networks 

  • Network Concepts 
  • Critical path analysis 

 

 

Senior Secondary English

Year 11

We cover the following curricula:

  • EAL/D
  • English Advanced
  • English Extension
  • English Standard
  • English Studies

All modules are facilitated and adapted to the text/media being studied. 

We also cover: 

  • Specific support in analysing the literary, filmic and other texts students study at school 
  • Critical approaches to contexts, values, conventions and other key concepts 
  • Expression and structure in essays, comparisons, stories, speeches, presentations, short responses etc. 
  • Writing and editing in specific modes: analytical, creative, persuasive, discursive, reflective, informative, evaluative 
  • Reading, viewing, listening, representing, speaking and other language skills 

 

Year 12

We cover the following curricula:

  • EAL/D
  • English Advanced
  • English Extension 1
  • English Extension 2
  • English Standard
  • English Studies

All modules are facilitated and adapted to the text/media being studied.

We also cover: 

  • Specific support in analysing the literary, filmic and other texts students study at school 
  • Critical approaches to contexts, values, conventions and other key concepts 
  • Expression and structure in essays, comparisons, stories, speeches, presentations, short responses etc. 
  • Writing and editing in specific modes: analytical, creative, persuasive, discursive, reflective, informative, evaluative 
  • Reading, viewing, listening, representing, speaking and other language skills