   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