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vectors, complex numbers, calculus, and mechanics. Through topics such as the nature of proof, further proof by mathematical induction, further work with vectors, introduction to complex numbers, further integration, and applications of calculus to mechanics. While NSW Mathematics curricula does not include matrix theory nor group theory, the geometric properties of complex numbers alludes to both of these. The former is hinted at in the multiplicative properties of complex numbers, as students are required to plot the products, sums and quotients of complex numbers on the Argand plane. While group theory is not explicitly mentioned, roots of unity and cyclic groups are extensively studied. With their newfound familiarity with complex numbers, the fundamental theorem of algebra can now be formally stated. Students are now able to exploit this closure to solve even more polynomial equations. Recursive integral sequences, integration by parts and partial fraction decomposition techniques allow the solution to a wider class of problems. Projectile motion is studied in the kinematics module, which surpasses the depth of study found in HSC physics. This course synergizes with HSC Physics, as students are able to apply this knowledge in their
Physics exams to arrive at more elegant and efficient solutions. The parametrisation of lines, circles and parabolas in Mathematics Extension 1 is further developed to the entire family of conics, including degenerate cases. Students are exposed to rectangular hyperbolas, however hyperbolic trigonometric functions are not included. Despite this students are expected to adapt to novel material, such as proving properties of the catenary via its expression in exponential functions.
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mathematics, ranging from algebraic concepts to statistical analysis. In the Year 11 curriculum, students engage with fundamental topics such as algebra, measurement, financial mathematics, and statistical analysis. They explore concepts like linear relationships, measurement applications, financial management, and statistical data analysis, gaining insights into real-world applications and problem-solving techniques. Moving into the Year 12 course, students deepen their understanding by delving into additional topics such as networks. Throughout both years, emphasis is placed on fostering numeracy, building confidence, and making mathematics meaningful through practical applications. Students are encouraged to develop their skills in mathematical modelling, using these models to address present and future challenges they may encounter in various contexts, from personal finance to workplace scenarios. By the end of the course, students emerge with a solid mathematical foundation that not only serves them well in their immediate academic pursuits but also prepares them for the demands of the workforce and further training opportunities.
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not both. Maths B gives students an understanding of the methods and principles of mathematics and the ability to apply them in everyday situations and in purely mathematical contexts; the capacity to model actual situations and deduce properties from the model; an interest and ability in framing and testing mathematical hypotheses; the ability to express and communicate any results obtained; some knowledge of the history of mathematics; encouragement to think independently and creatively. Assessments are similar as those of Maths A, which includes both formative (Semester 1) and summative (Semesters 2,3 and 4) written tests, assignments and post-assignment tests. It is also assessed in the three categories
Knowledge & Procedures (KAP); Modelling & Problem Solving (MAP); Communication & Justification (CAJ). Maths B is a pre-requisite for any tertiary course which deals with or uses math and/or science. According to the Queensland Studies Authority, in 2010, 93% of students who studied Maths B were OP eligible.
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understanding of the methods and principles of mathematics and the ability to apply them in everyday situations and in purely mathematical contexts; the capacity to model actual situations and deduce properties from the model; an interest and ability in framing and testing mathematical hypotheses; the ability to express and communicate any results obtained; some knowledge of the history of mathematics; encouragement to think independently and creatively. Assessments are in the same as the other two courses, formative and summative written tests, assignments and practical work. The student is assessed in the areas of
Knowledge & Procedures (KAPS); Modelling & Problem Solving (MAPS); Communication & Justification (CAJ). Maths C can be a pre-requisite to tertiary courses with a heavy maths/science basis. Some skills learned in Maths C would be found in business and economics degrees.
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arguments, proofs, and models, fostering their ability to communicate mathematical ideas concisely and precisely. Students embark on a journey to develop thorough knowledge and skills in various mathematical domains across four main topics in the Year 11 curriculum: functions, trigonometric functions, calculus, and combinatorics. Through topics such as polynomials, further trigonometric identities, rates of change, and working with combinatorics. Continuing into the Year 12 course, Mathematics
Extension 1 further challenges students with topics such as proof by mathematical induction, vectors, trigonometric equations, further calculus skills, and statistical analysis. Through exploring topics like introduction to vectors, applications of calculus, and the binomial distribution.
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future. Maths A is designed to help students to develop an appreciation of the value of
Mathematics to humanity. Students learn how mathematical concepts may be applied to a variety of life situations including business and recreational activities. The skills encountered are relevant to a vast array of careers (trade, technical, business etc.). Assessments in the subject include both formative and summative written tests, assignments and practical work. It is assessed in the categories: Knowledge & Procedures (KAPS); Modelling & Problem Solving (MAPS); Communication & Justification (CAJ). Although Maths A is not a pre-requisite subject, but it is sufficient for entrance to many tertiary courses.
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mathematical concepts across four main topics: algebra, measurement, financial mathematics, and statistical analysis, supplemented by the addition of networks. Within these topics, students engage with subjects like non-right-angled trigonometry, rates and ratios, investments and loans, annuities, bivariate data analysis, and critical path analysis. Through hands-on activities and practical applications, students develop a deeper understanding of mathematical concepts and their relevance in contemporary contexts. The course equips students with the analytical skills necessary to tackle complex problems and make informed decisions.
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topics in the Year 11 curriculum, including functions, trigonometric functions, calculus, exponential and logarithmic functions, and statistical analysis. The course further extends students' proficiency across four topics: functions, trigonometric functions, calculus, financial mathematics, and statistical analysis. Through topics like graphing techniques, differential calculus, integral calculus, and modelling financial situations, students refine their mathematical skills and explore advanced concepts in depth.
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Maths B is considerably more theoretical than Maths A, requiring advanced algebra skills to successfully complete. It is a common prerequisite for science and engineering courses at
Queensland Universities. Maths B (in some schools) can be studied at the same time with either Maths A or Maths C, but
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Mathematics
Advanced: This course is focused on calculus-based principles, this course challenges students to develop critical thinking skills by exploring problems through observation, reflection, and reasoning. Students embark on a comprehensive exploration of mathematical concepts across five main
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implemented a new QCE (Queensland
Certificate of Education) system which included new syllabi for each of the senior mathematics subjects. Current senior mathematics general subjects are: General Mathematics, Mathematical Methods, Specialist Mathematics (listed in order of increasing complexity).
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Mathematics
Extension 2 This course is an advanced course that offers students the opportunity to delve into the fundamental ideas of algebra and calculus while developing strong mathematical manipulative skills. In the course, students engage with five main topics in the Year 12 curriculum: proof,
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Mathematics
Extension 1 (Must be studied concurrently with Mathematics Advanced): This course is designed to expand students' mathematical horizons and deepen their understanding of advanced mathematical concepts. This course provides students with opportunities to delve into rigorous mathematical
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Maths A covers more practical topics than Maths B and C, but it is still OP eligible. There are considerably fewer algebraic concepts in this subject, and it is suitable for students who either struggled with mathematics in Year 10, or who do not require a knowledge of abstract mathematics in the
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expected of students. In higher courses, students have exposure to a greater breadth and depth of techniques, and are expected to synthesize knowledge from seemingly disparate topics. In Mathematics Advanced exams students may be asked to apply familiar techniques to unfamiliar contexts, such as
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Specialist Mathematics: Provide for the study of various mathematical structures, reasoning and proof. The areas of study in Units 3 and 4 extend content from Mathematical Methods Units 3 and 4 to include rational and other quotient functions as well as other advanced mathematics topics such as
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Mathematics Standard 1: This course offers students a practical and relevant approach to mathematics, tailored to equip them with essential skills for navigating everyday challenges and future endeavours. Built upon a foundation laid in previous years, the course delves into various facets of
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Maths C extends the topics taught in Maths B, and covers additional pure-maths topics (including complex numbers, matrices, vectors, further calculus and number theory). Although not necessarily more difficult, it must be studied in conjunction with Maths B. Maths C gives the students an
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Mathematics Standard 2: This course is designed to further enhance students' mathematical skills beyond Stage, the course extends students' proficiency in mathematics while steering clear of the in-depth complexities of higher-level mathematics like calculus. Students explore a variety of
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The difficulty in HSC final exam questions generally increases throughout the course of the paper. In one Extension 2 HSC examination, the final question provides students with a series of prompts and smaller questions, which culminate in a proof of the
225:, and their applications in a variety of practical and theoretical contexts. They also provide background for further study in, for example, science, technology, engineering and mathematics (STEM), humanities, economics and medicine.
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being given an identity through which they must solve a problem. Further mathematical maturity is vital to success in Extension 2 exams, as assessment focuses on both conceptual understanding and computational abilities.
253:. They also provide background for advanced studies in mathematics and other STEM fields. Study of Specialist Mathematics Units 3 and 4 assumes concurrent study or previous completion of Mathematical Methods.
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Foundation Mathematics: Provide for the continuing mathematical development of students with respect to problems encountered in practical contexts in everyday life at home, in the community, at work and in
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New WACE mathematics courses were introduced for Year 11 students in 2015 to replace previous mathematics courses and being the Western Australian course in line with the Australian Curriculum.
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The new WACE mathematics courses consist of four units. Each unit is studied over one semester. Therefore, Unit 1 & 2 is studied in Year 11, and Unit 3 & 4 is studied in Year 12.
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162:(VCE) mathematics subjects are designed to cater for the varying abilities and aptitudes of Victorian students. There are four courses offered for VCE study:
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topics. They are designed to be widely accessible and provide preparation for general employment, business or further study, in particular where
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The defining feature of content progression from Mathematics Advanced through to Extension 2 Mathematics is the level of
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Specialist Mathematics — more advanced topics that complement and are taken concurrently with Mathematical Studies
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contains a number of mathematics courses catering for a range of abilities. There are four courses offered by the
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ATAR mathematics courses are for university-bound students, whereas general courses are for non-ATAR students.
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65:, which results in differences in what is taught and how it is assessed. Additionally, some schools offer the
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Syllabus information is available from the School Curriculum and Standards Authority (SCSA) website.
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Up until the end of 2019 students in Queensland were able to study: Maths A, Maths B, and Maths C.
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There is also an applied subject called Essential Mathematics and a short course called Numeracy.
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The course is divided into four (4) semesters. The skills learned each semester are as follows:
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The course is divided into four (4) semesters. The areas learned are in the following:
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Please help update this article to reflect recent events or newly available information.
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for the university qualifications offered in the mathematical sciences in Australia.
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varies significantly between states and territories, particularly at the
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In South Australia the mathematics courses are split into six levels:
69:(IB) program, providing an internationally recognized alternative.
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Numeracy for Work and Community Life (up to and including Stage 1)
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Applied Statistics 2 (Linear/Quadratic Regression, Residual Plots)
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Mathematical Methods: Provide for the study of simple elementary
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General Mathematics: Provide for the study of non-calculus and
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Periodic Functions (Trigonometry, Sin/Cosine Functions)
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61:. Each region operates its own education system and
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Applied Statistics (Mean, Median, Mode, Lie Factor)
644:VCE Mathematics Study Design Units 1-4: 2006-2009
601:list of mathematical science schools in Australia
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620:"Course descriptions for Mathematics Stage 6"
584:General Mathematics/Mathematical Applications
393:Indices and Logarithms/ Exponential Functions
373:Functions (Linear, Quadratic, Absolute Value)
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1275:. South Australian Certificate of Education
581:Essential Mathematics/Mathematical Pathways
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1299:South Australian Certificate of Education
587:Mathematical Methods/Mathematical Studies
668:"VCE Mathematics Study Design 2023-2027"
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1269:"Numeracy for Work and Community Life"
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540:The new WACE mathematics courses are:
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1581:Science and technology in Australia
1319:Mathematical Applications syllabus
396:Limits and Differential Calculus 1
160:Victorian Certificate of Education
154:Victorian Certificate of Education
55:Mathematics education in Australia
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1576:Education in Australia by subject
624:NSW Education Standards Authority
97:NSW Education Standards Authority
1571:Mathematics education by country
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282:The course is divided into four
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1365:Specialist Mathematics syllabus
544:Mathematics Preliminary General
547:Mathematics Foundation General
407:Optimization Using Derivatives
1:
1342:Mathematical Methods syllabus
553:Mathematics Applications ATAR
550:Mathematics Essential General
509:Semester 4 (Year 12/Form 6):
486:Semester 3 (Year 12/Form 6):
466:Semester 2 (Year 11/Form 5):
446:Semester 1 (Year 11/Form 5):
417:Semester 4 (Year 12/Form 6):
404:Exponential and Log Functions
400:Semester 3 (Year 12/Form 6):
386:Semester 2 (Year 11/Form 5):
369:Semester 1 (Year 11/Form 5):
353:and an elective topic on Data
340:Semester 4 (Year 12/Form 6):
323:Semester 3 (Year 12/Form 6):
306:Semester 2 (Year 11/Form 5):
289:Semester 1 (Year 11/Form 5):
430:Optimisation (Other Methods)
421:Applied Statistical Analysis
559:Mathematics Specialist ATAR
390:Exploring Data / Statistics
67:International Baccalaureate
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751:"WACE 15-16 - Mathematics"
302:Linking 2 and 3 Dimensions
205:and combinations of these
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462:Structures & Patterns
89:Higher School Certificate
83:Higher School Certificate
31:This article needs to be
556:Mathematics Methods ATAR
493:Real and Complex Numbers
476:Real and Complex Numbers
470:Applications of Matrices
450:Real and Complex Numbers
490:Structures and Patterns
482:Structures and Patterns
427:Differential Calculus 2
1295:"Mathematics Pathways"
727:Mathematics C syllabus
704:Mathematics B syllabus
681:Mathematics A syllabus
243:differential equations
99:(NESA) for HSC Study:
1415:Mathematics education
251:statistical inference
134:mathematical maturity
59:upper secondary level
172:discrete mathematics
336:Operations Research
184:financial modelling
1512:Cognitively guided
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499:Periodic Functions
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1497:Modern elementary
1472:Three-part lesson
530:Western Australia
525:Option I & II
505:Option I & II
413:Integral Calculus
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203:transformations
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219:probability
1565:Categories
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344:Statistics
316:Statistics
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258:Queensland
247:kinematics
223:statistics
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1477:Singapore
1446:Australia
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284:semesters
207:functions
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180:recursion
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1507:Informal
1467:Exercise
1455:Approach
1434:New York
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519:Dynamics
516:Calculus
502:Calculus
496:Matrices
479:Dynamics
453:Matrices
262:In 2019
215:calculus
192:matrices
188:networks
149:Victoria
1550:Commons
522:Vectors
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211:algebra
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