Mathematics

Hurlstone’s Mathematics Faculty empowers students to think logically, solve complex problems, and apply mathematical reasoning with precision, creativity, and confidence in a world shaped by data and innovation.

At Hurlstone Agricultural High School, Mathematics is at the heart of analytical thinking, innovation, and academic excellence. Our Mathematics Faculty challenges students to engage deeply with the language of logic and pattern, developing precision, reasoning, and resilience as they tackle complex problems and abstract concepts.

High expectations underpin every aspect of mathematics learning at Hurlstone. Students are encouraged to think critically, justify their solutions, and explore multiple pathways to understanding. From foundational numeracy to advanced calculus and statistics, teaching is explicit, structured, and focused on mastery, ensuring every learner is both supported and extended to fulfil their potential.

Mathematics is studied by all students from Years 7–10, with pathways into advanced, extension, and specialist courses in the senior years. These programs prepare students for high achievement in the HSC and beyond, equipping them with the analytical confidence and intellectual curiosity essential for success in university study, professional careers, and the challenges of a data-driven future.

Teaching and Learning

Below you’ll find an overview of the Mathematics units studied from Year 7 to Year 12, showcasing how students build knowledge, skills, and hands-on experience across plant, animal, and agricultural systems.

Year 7 Mathematics

In Year 7, students begin by developing accuracy and fluency in computation with integers, indices, algebraic techniques and  the essential language of mathematical reasoning. They then explore how data can be organised and represented through classification and visualisation, before strengthening their understanding of fractions, decimals, and percentages and applying these to practical problems involving length and perimeter. As the year progresses, students learn to solve equations, plot and interpret points on the number plane, and investigate the properties of angles and geometric figures. The year concludes with an introduction to area, volume, and probability, allowing students to connect numerical reasoning with spatial thinking and everyday applications of chance.

This strong foundation prepares students for the complexity and abstraction of higher levels of mathematical study at Hurlstone. By mastering these early concepts, students develop the logical reasoning, precision, and perseverance essential for success in Stage 5 and senior mathematics courses — including Advanced, Extension 1, and Extension 2 pathways. The problem-solving, data analysis, and quantitative reasoning skills fostered in Year 7 also form the basis for future success in HSC studies and a wide range of post-school fields such as science, engineering, technology, economics, and data analytics.

Year 8 Mathematics

In Year 8, students extend their mathematical understanding through increasingly complex and interconnected concepts. The year begins with the study of Pythagoras’ Theorem, indices, geometry, and algebraic equations, strengthening students’ ability to apply reasoning to spatial and numerical problems. As their confidence grows, students explore the measurement of trapeziums, kites, rhombuses, circles, and cylinders, deepening their understanding of shape, area, and volume. They apply fractions, decimals, and percentages to real-world problems, developing fluency in calculating rates and ratios. In the latter part of the year, students analyse and interpret data, explore linear relationships, and refine their use of algebraic and index laws. The introduction of trigonometry brings together measurement, geometry, and algebra, helping students make powerful mathematical connections across topics.

These experiences prepare students for the higher levels of abstraction and reasoning required in Stage 5 and senior mathematics courses. The algebraic fluency, geometric reasoning, and data interpretation skills developed in Year 8 form the basis for advanced problem-solving in Years 9–12 and underpin success in HSC Mathematics Advanced, Extension 1, and Extension 2. Beyond school, these skills are invaluable across STEM, commerce, and technology fields, where analytical thinking and quantitative literacy are essential. Year 8 Mathematics at Hurlstone continues to build the intellectual curiosity and precision that characterise high-achieving learners ready to excel in a data-driven world.

Year 9

In Year 9, students deepen their mathematical understanding through the study of increasingly abstract and applied concepts that link number, algebra, geometry, and statistics. The year begins with Financial Mathematics, where students explore interest, profit, and budgeting, applying algebraic techniques to real-world financial contexts. They extend their trigonometric skills to solve complex problems involving angles, lengths, and heights before advancing to equations, measurement, and linear relationships that connect algebra and geometry in meaningful ways. As the year progresses, students investigate the linear and non-linear properties of relationships, analyse data sets, and explore indices and numbers of any magnitude. Topics in geometry, area, surface area, volume, and probability challenge students to reason logically, interpret results, and recognise patterns across multiple mathematical strands.

This comprehensive program builds the analytical foundation necessary for success in advanced Stage 5 and senior mathematics courses. The problem-solving, modelling, and abstract reasoning developed in Year 9 are vital for excelling in HSC Mathematics Advanced, Extension 1, and Extension 2. Students also gain the capacity to apply mathematics beyond the classroom — in fields such as economics, engineering, architecture, data science, and environmental design. Year 9 Mathematics at Hurlstone nurtures intellectual rigour and mathematical maturity, preparing students to think critically, act decisively, and approach complex problems with clarity and confidence.

Year 10

In Year 10, students consolidate and extend their mathematical understanding through rigorous study that bridges foundational concepts with the demands of senior-level mathematics. The year begins with an exploration of area, surface area, and volume, alongside advanced algebraic techniques and geometric reasoning. Students refine their skills in data analysis and probability, interpreting and predicting outcomes with increasing sophistication. As the year progresses, they deepen their understanding of indices, equations, trigonometry, and linear and non-linear relationships, strengthening their ability to model and solve complex, real-world problems. Later topics such as functions, polynomials, logarithms, variations, rates, circle geometry, and networks introduce students to abstract and applied thinking connecting algebraic theory with spatial and graphical reasoning across multiple contexts.

This course provides a strong foundation for success in the HSC Mathematics pathways Standard, Advanced, Extension 1, and/or Extension 2 and equips students with the analytical, problem-solving, and reasoning skills valued in tertiary study and professional fields. Whether pursuing future pathways in science, engineering, data analytics, finance, architecture, or technology, students emerge from Year 10 Mathematics at Hurlstone with a deep conceptual understanding and the intellectual confidence to apply mathematical thinking to complex challenges.

Year 11 Preliminary HSC Mathematics Standard

The Preliminary Mathematics Standard course equips students with the practical mathematical knowledge and analytical skills needed to navigate an increasingly data-driven and interconnected world. Across the year, students explore topics that link mathematics to everyday life — from managing money, measuring energy use, and interpreting data, to analysing probability, modelling linear relationships, and understanding time across global contexts. Through these studies, they learn to calculate with accuracy, interpret graphs and statistics, apply formulas and equations to real situations, and make sound, evidence-based decisions.

The course builds confidence and fluency in mathematical reasoning while reinforcing the relevance of numeracy in personal, vocational, and societal contexts. Students develop the ability to communicate their thinking clearly, evaluate information critically, and apply problem-solving skills in practical scenarios. These capabilities form a strong foundation for success in the HSC Mathematics Standard 2 course and prepare students for a wide range of post-school pathways including tertiary study, trades, business, agriculture, and technology where mathematical competence, logical reasoning, and financial literacy are essential for informed and effective participation in modern life.

Classifying and Representing Data

In this unit, students learn how to collect, classify, and represent data accurately to make meaningful conclusions about real-world situations. They explore different methods of displaying and interpreting data, calculate summary statistics, and evaluate the reliability of findings. Through these experiences, students develop critical thinking, analytical, and problem-solving skills that are essential in evidence-based decision-making. The ability to organise and interpret data prepares students for further study in mathematics, business, and the social sciences, while also providing valuable skills for post-school pathways in data-driven fields such as marketing, health, agriculture, and finance.

Exploring and Describing Data

In this unit, students investigate how data can be summarised and interpreted using measures of central tendency and spread. They learn to calculate and compare mean, median, and mode, and to select the most appropriate measure for different types of data. By analysing how outliers and variability influence interpretation, students strengthen their ability to make accurate, evidence-based conclusions. These skills are essential for understanding statistical reports, evaluating information critically, and applying mathematics to real-world contexts. The unit builds a foundation for future study in business, health, psychology, and the sciences and fields where data interpretation and informed decision-making are vital.

Formula and Equations

In this unit, students strengthen their algebraic understanding by learning to construct, manipulate, and solve a range of equations used in everyday and work-related contexts. They apply formulas to practical situations, such as calculating costs, distances, and rates, developing both accuracy and confidence in their mathematical reasoning. The unit reinforces key Stage 5 concepts while extending students’ ability to interpret and model real-world problems algebraically. These skills form an essential bridge to higher-level mathematics and are widely applicable across post-school pathways including trades, business, finance, and technology, where the ability to work fluently with formulas and equations supports informed and efficient problem-solving.

Earning and Managing Money

In this unit, students learn how to calculate and manage earnings, wages, and taxation, developing a practical understanding of personal finance. They explore payslips, overtime, commission, and deductions, using real-world examples to make informed financial decisions. Through guided problem-solving, students build the numeracy and financial literacy needed to plan and manage their income effectively. The unit equips students with life skills that extend beyond the classroom, preparing them to navigate future employment, understand the impacts of taxation, and make sound economic choices in their personal and professional lives. These capabilities also provide a strong foundation for future study in business, economics, and finance-related disciplines.

Probability

In this unit, students explore the concept of chance and learn how to calculate the likelihood of different outcomes using the language and rules of probability. They conduct experiments, analyse data, and apply probability principles to everyday situations, from weather forecasting to risk assessment and strategic decision-making. Through these investigations, students develop logical reasoning, critical thinking, and the ability to evaluate uncertainty in real-world contexts. The skills gained in this unit are essential for informed decision-making in areas such as science, economics, business, and health, and provide a strong foundation for further study and careers that rely on data analysis and statistical reasoning.

Measurement Practicalities

In this unit, students apply their understanding of measurement to solve practical problems involving energy, mass, perimeter, area, volume, and capacity. They learn how to take accurate measurements, convert between units, and calculate with precision while recognising that all measurements contain a degree of error. Through hands-on and applied learning, students develop fluency in using formulas and measurement tools across a range of real-world contexts. These skills are essential for everyday life and form the basis for further study in fields such as engineering, construction, agriculture, and the sciences where accuracy, estimation, and problem-solving are critical to success.

Perimeter, Area and Volume

In this unit, students extend their understanding of measurement by calculating and applying formulas for perimeter, area, and volume across a variety of two- and three-dimensional shapes. They learn to interpret and solve practical problems, estimate results, and consider the impact of measurement error in real-world situations. Through hands-on activities and applied problem-solving, students develop confidence in selecting appropriate units, converting measurements, and working with scale. These foundational skills are essential for everyday tasks and provide valuable preparation for further study and careers in fields such as architecture, engineering, design, construction, and agricultural science where spatial reasoning and precision in measurement are vital.

Budgeting and Household Expenses

In this unit, students learn to create and manage realistic budgets by analysing income, expenses, and financial priorities. They explore how to plan for short- and long-term goals, balance essential costs with savings, and make informed choices about spending and borrowing. Through practical, scenario-based learning, students develop financial literacy, problem-solving, and decision-making skills that support independence and responsible money management. The concepts introduced in this unit prepare students for life beyond school, helping them to confidently navigate personal finances, understand economic systems, and apply mathematical reasoning to real-world financial challenges in work, study, and daily living.

Units of Energy

In this unit, students explore the measurement and calculation of energy in practical contexts, developing an understanding of how energy is quantified, converted, and applied in everyday life. They learn to work confidently with different energy units, such as joules and kilowatt-hours, and to interpret energy use in real-world situations like household consumption and environmental efficiency. By solving applied problems, students strengthen their skills in measurement, estimation, and unit conversion while recognising the role of accuracy and error in data interpretation. These competencies are essential for informed decision-making in energy management and provide valuable preparation for further study and careers in science, engineering, agriculture, and environmental sustainability.

Linear Functions

In this unit, students explore the relationship between variables through the study of linear functions and direct variation. They learn to construct, interpret, and graph linear relationships, developing fluency in identifying gradients, intercepts, and equations that model real-world situations. By connecting algebraic representations with visual graphs, students gain insight into how mathematical models describe everyday patterns such as cost comparisons, distance-time relationships, and financial growth. The unit also provides opportunities to strengthen foundational Stage 5 skills while extending students’ capacity for abstract and applied reasoning. These analytical and modelling skills are vital for success in senior mathematics and are widely applicable across fields such as economics, engineering, environmental science, and data analytics.

Money Matters

In this unit, students apply mathematical principles to personal and financial contexts, learning how to calculate and graph simple interest, interpret earnings and taxation, and design realistic budgets. They explore how financial decisions impact savings, investments, and long-term goals, developing both numeracy and financial literacy through practical, real-world applications. By analysing scenarios such as wages, loans, and spending plans, students strengthen their ability to make informed, responsible choices about money management. The skills developed in this unit are essential for everyday financial independence and provide a strong foundation for future studies in business, economics, and commerce, as well as for navigating the financial realities of adult life with confidence and foresight.

Working with Time

In this unit, students investigate how time and location interact across the globe, learning to calculate time differences, interpret time zones, and understand the relationship between longitude, distance, and Earth’s rotation. They apply these concepts to real-world scenarios such as international travel, global communication, and navigation, developing accuracy and reasoning in temporal and spatial calculations. The unit also reinforces key Stage 5 skills in measurement and geography, helping students make sense of how mathematical systems underpin global connectivity. These understandings prepare students for further study in fields such as geography, science, business, and technology, and foster an appreciation of their role as informed, globally minded citizens in an interconnected world.

Year 11 Preliminary HSC Mathematics Advanced

In Year 11, students extend their mathematical thinking through the study of advanced concepts that form the foundation of higher-level mathematics. The year begins with an exploration of functions, where students learn to represent, interpret, and manipulate relationships between variables. This understanding deepens through the study of trigonometry and the measurement of angles, where students apply trigonometric identities and explore inverse trigonometric functions to model and solve complex problems. As the course progresses, students are introduced to differentiation and rates of change, developing an appreciation for how calculus describes motion, growth, and optimisation in real-world and theoretical contexts.

Students also explore the power of algebraic reasoning through topics such as polynomials, logarithms, and exponentials, learning to express generalised relationships and solve problems with efficiency and precision. Probability and discrete probability distributions extend their ability to analyse uncertainty and make informed predictions, while combinatorics builds logical reasoning through counting principles and pattern recognition. Together, these studies provide a rich, interconnected understanding of mathematics as both an abstract discipline and a practical tool. The Year 11 Mathematics Advanced course prepares students for the rigour of HSC Mathematics Advanced and Extension pathways, while also laying the groundwork for future study and careers in science, engineering, finance, technology, and data-driven industries.

Year 11 Preliminary HSC Mathematics Extension 1

Year 12 HSC Mathematics Standard

The HSC Mathematics Standard 2 course equips students with the mathematical understanding, fluency, and analytical skills needed to make informed decisions in a modern, data-rich world. Throughout the course, students apply mathematics to practical, real-life contexts from managing finances and investments to analysing data, interpreting networks, and modelling relationships between variables. They learn to use mathematical reasoning to plan projects, solve complex problems, and communicate solutions with precision and clarity.

By engaging with topics such as depreciation, annuities, and critical path analysis, students gain valuable financial literacy and project management skills. Through the study of regression, normal distribution, and non-linear relationships, they develop a deep understanding of how mathematics describes trends and informs decision-making. Geometry and trigonometry further extend students’ ability to apply abstract concepts to tangible problems in design, construction, and the sciences.

This course builds confidence in using mathematics as a language for interpreting the world, preparing students for success in the HSC and beyond. The knowledge and skills gained are essential for tertiary study and careers in fields such as business, health, agriculture, engineering, and technology where analytical thinking, quantitative reasoning, and evidence-based problem-solving are vital for success.

Investments

In this unit, students learn to calculate, compare, and evaluate different types of investments, including savings accounts, term deposits, and shares, to understand how money grows over time. They explore concepts such as compound interest, dividends, and capital gain, applying mathematical reasoning to assess risk and return in varied financial contexts. Through problem-solving and data analysis, students develop the ability to make informed financial decisions and justify their conclusions using clear mathematical logic. These skills prepare students to manage personal finances confidently and provide valuable foundations for future study and careers in business, economics, commerce, and financial management, where strategic decision-making and quantitative literacy are key.

Ratios and Rates

In this unit, students apply ratios and rates to solve practical problems across a variety of real-world contexts, from interpreting scale drawings to analysing data in health, energy, and financial situations. They learn to compare quantities, calculate unit rates, and use proportional reasoning to make accurate predictions and informed decisions. By connecting abstract concepts to authentic applications, students develop mathematical fluency, logical thinking, and the ability to model everyday problems effectively. These skills are highly relevant to future study and careers in areas such as health sciences, engineering, business, and environmental management, where understanding and applying ratios and rates are essential for accurate analysis and decision-making.

Equations and Linear Functions

In this unit, students deepen their understanding of algebraic and graphical relationships by learning to construct, interpret, and solve linear equations and systems of simultaneous equations. They use these techniques to model and analyse real-world problems, such as comparing costs, predicting trends, and optimising outcomes in practical contexts. Through both algebraic manipulation and graphical representation, students refine their ability to communicate mathematical ideas clearly and justify their reasoning with evidence. The unit reinforces key concepts from Year 11 while extending students’ ability to use mathematics as a tool for prediction and problem-solving that are invaluable in further study and professional fields such as economics, science, engineering, and technology.

Depreciation and Loans

In this unit, students explore how assets lose value over time through depreciation and how reducing balance loans operate in real financial contexts. They learn to calculate depreciation using different methods, analyse loan repayments, and compare borrowing options to make informed financial decisions. By modelling real-world scenarios such as purchasing vehicles or equipment, students develop mathematical reasoning to understand long-term financial commitments and the impact of interest over time. These concepts build financial literacy and strategic thinking, equipping students with the skills to plan responsibly for their future and preparing them for further study or careers in business, accounting, economics, and finance where understanding value, cost, and growth is essential.

Annuities

In this unit, students examine the mathematics behind annuities (regular payments or investments made over time) to understand how they grow and accumulate value. They learn to calculate the future and present value of annuities, exploring how concepts such as compound interest, time, and rate of return influence financial outcomes. Real-world applications, including superannuation, pensions, and home loans, help students connect mathematical principles to long-term financial planning. Through this study, students develop the ability to model and evaluate investment strategies, strengthening their capacity for critical financial decision-making. These skills are directly applicable to post-school life and form a strong foundation for future pathways in business, economics, and financial management.

Regression and Correlation

In this unit, students learn how to identify, analyse, and describe relationships between two numerical variables using statistical tools such as scatter plots, lines of best fit, and correlation coefficients. They explore how data can reveal trends, make predictions, and support decision-making in real-world contexts, from analysing business performance to understanding environmental or social patterns. Through hands-on data analysis, students develop their ability to interpret and communicate statistical findings clearly and accurately. These skills foster analytical thinking and are highly valuable for further study and careers in fields such as economics, science, psychology, business, and data analytics, where interpreting relationships and making evidence-based conclusions are essential.

Network Concepts

In this unit, students explore the structure and behaviour of networks, learning key terminology and techniques to represent and solve problems involving interconnected systems. They analyse real-world examples such as transport routes, communication systems, and social networks to understand how relationships and connections can be modelled mathematically. By applying network principles to optimise pathways, minimise costs, and improve efficiency, students develop strong problem-solving and logical reasoning skills. This unit highlights the practical relevance of mathematics in modern life and provides valuable preparation for future study and careers in areas such as information technology, logistics, engineering, and data science, where network analysis is essential to innovation and efficiency.

Critical Path Analysis

In this unit, students learn to apply critical path analysis (CPA) to optimise the planning and management of complex tasks and projects. They construct and interpret network diagrams to identify the most efficient sequence of activities, calculate project durations, and determine which tasks are critical to meeting deadlines. Through practical, real-world applications such as event coordination, construction planning, or production scheduling, students develop skills in organisation, logical reasoning, and efficiency analysis. The unit emphasises the importance of mathematical modelling in effective project management and provides valuable preparation for future study and careers in business, engineering, logistics, and operations management, where strategic planning and time optimisation are essential.

Non-Right-Angled Trigonometry

In this unit, students extend their understanding of trigonometry to solve problems involving both right-angled and non-right-angled triangles. They learn to apply the Sine Rule, Cosine Rule, and Area Rule to determine unknown sides and angles in practical and theoretical contexts, such as surveying, navigation, and design. Through guided reasoning and structured problem-solving, students refine their ability to communicate mathematical processes clearly and justify each step with precision. These skills not only strengthen their understanding of geometric relationships but also prepare them for future study and careers in engineering, architecture, surveying, and the sciences where trigonometric reasoning and spatial problem-solving are essential.

The Normal Distribution

In this unit, students explore the characteristics and applications of the normal distribution, a fundamental concept in statistics used to model real-world data. They learn to interpret and analyse data that follow a normal pattern, calculate probabilities using the standard deviation and mean, and understand how this model supports decision-making in uncertain situations. By applying the normal distribution to contexts such as measurement variation, quality control, and population studies, students develop strong analytical and interpretive skills. These capabilities provide a foundation for further study and careers in fields such as science, psychology, economics, and health, where understanding patterns of variability and probability is essential for drawing valid and informed conclusions.

Non-Linear Relationships

In this unit, students investigate mathematical relationships that are not linear, exploring how equations and graphs can model curved patterns such as quadratics, exponentials, and other non-linear functions. They learn to construct, interpret, and analyse these relationships to describe and predict real-world phenomena, from population growth to financial modelling and physics applications. By linking algebraic expressions with their graphical representations, students strengthen their problem-solving and reasoning skills while learning to communicate mathematical ideas clearly and precisely. The study of non-linear relationships builds a strong foundation for higher-level mathematics and provides valuable analytical tools relevant to future pathways in science, economics, technology, and engineering.

Year 12 HSC Mathematics Advanced

In Year 12, students refine and extend their mathematical understanding through the study of advanced functions, calculus, trigonometry, and statistics. The year begins with graphing techniques and trigonometric graphs, where students learn to analyse and interpret complex functions to describe and predict real-world patterns. Building on their knowledge of differentiation, students apply calculus to model rates of change and optimisation problems before progressing to integral calculus, where they explore area, accumulation, and the interconnectedness of mathematical concepts. Exponential and logarithmic functions further develop their ability to represent growth and decay, while advanced trigonometric functions extend their capacity to model periodic behaviour across diverse contexts.

Students also strengthen their analytical and statistical reasoning through descriptive statistics, bivariate data analysis, and random variables, learning to interpret data critically and make evidence-based decisions. The course concludes with modelling financial situations, where mathematics is applied to real-world financial planning, investments, and decision-making. Together, these studies build fluency, precision, and insight, equipping students with the conceptual understanding and problem-solving ability essential for HSC success and for future study in fields such as science, engineering, data analytics, finance, and technology. Year 12 Mathematics Advanced at Hurlstone challenges students to think deeply, reason logically, and approach complex problems with creativity and confidence.

Year 12 HSC Mathematics Extension 1

In Year 12 Mathematics Extension 1, students engage with the most abstract, rigorous, and intellectually demanding aspects of senior mathematics. Building on the foundations of the Advanced course, they extend their understanding of trigonometric, algebraic, and calculus concepts to solve complex and unfamiliar problems with precision and creativity. The year begins with trigonometric equations and graphing techniques, where students manipulate and analyse intricate functions to model real-world and theoretical situations. Proof by mathematical induction introduces formal reasoning, requiring students to construct logical, step-by-step arguments to establish the validity of mathematical statements.

As the course progresses, students deepen their expertise in differential and integral calculus, applying these tools to rates of change, motion, and optimisation problems that demand higher-order reasoning. The study of vectors introduces a geometric and analytical framework for representing magnitude and direction, while further exploration of exponential, logarithmic, and trigonometric functions enhances students’ ability to connect multiple mathematical representations. Statistical topics such as random variables, the binomial distribution, and bivariate data analysis strengthen analytical interpretation and quantitative modelling.

Throughout the course, students also apply mathematics to financial and practical contexts, demonstrating how advanced theory informs decision-making in the real world. Year 12 Mathematics Extension 1 develops exceptional problem-solving ability, precision, and mathematical maturity, preparing students for success in the HSC and providing an essential foundation for tertiary study in mathematics, engineering, physics, data science, and other analytical disciplines where depth of reasoning and conceptual fluency are paramount.

Year 12 HSC Mathematics Extension 2

n Year 12 Mathematics Extension 2, students explore the highest level of secondary mathematics, developing the depth of reasoning, abstraction, and creativity characteristic of advanced mathematical thinking. The course begins with complex numbers, introducing students to a new number system that extends beyond the real numbers to model rotation, magnitude, transformation and concepts central to modern mathematics and engineering. Through the study of proof, students refine their logical reasoning and learn to construct elegant, rigorous arguments that demonstrate the universality and precision of mathematical truth.

Vectors and calculus (integration) extend students’ understanding of geometry and change, as they apply multi-dimensional and continuous models to describe motion, force, and other real-world phenomena. The study of mechanics connects algebraic, geometric, and calculus-based reasoning, equipping students to solve intricate problems involving velocity, acceleration, and equilibrium. Across all topics, students are challenged to think critically, communicate with clarity, and synthesise ideas from multiple areas of mathematics.

Year 12 Mathematics Extension 2 represents the pinnacle of mathematical study at Hurlstone, preparing students for university-level mathematics, physics, engineering, and computer science. The course cultivates precision, persistence, intellectual independence and qualities that empower students to lead in fields that demand analytical excellence and innovation.

Support for High Potential Learners

Hurlstone’s Mathematics Faculty nurtures high potential students through rigorous extension, enrichment, and acceleration opportunities designed to challenge and inspire. Learners are encouraged to think abstractly, reason logically, and apply advanced problem-solving strategies across a range of mathematical domains. Through participation in extension programs, mathematics competitions, and inquiry-based learning, students extend their understanding beyond the classroom and connect mathematics to real-world and theoretical applications. If your child shows high potential in mathematical reasoning, contact us to learn how our High potential and gifted education (HPGE) programs in Mathematics can support them to achieve at the highest levels.

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