Sefton High School

Sincerity Scholarship Service

Telephone02 9644 4800

Emailsefton-h.school@det.nsw.edu.au

Mathematics

Head Teacher is Ms Z Najem.

Mathematics in Years 7 to 10

The aim of Mathematics in K-10 is for students to

  • be confident, creative users and communicators of mathematics, able to investigate, represent and interpret situations in their personal and work lives and as active citizens.
  • develop an increasingly sophisticated understanding of mathematical concepts and fluency with mathematical processes, and be able to pose and solve problems and reason in Number and Algebra, Measurement and Geometry, and Statistics and Probability.
  • recognise connections between the areas of mathematics and other disciplines and appreciate mathematics as an accessible, enjoyable discipline to study, and an important aspect of lifelong learning.

Course outline

Students study Number and Algebra, Measurement and Geometry, and Statistics and Probability. Within each of these strands they will cover a range of topics.

List of topics covered by Year 7:

  1. Data Representation
  2. Numbers
  3. Algebraic Techniques 1
  4. Angles and Shapes
  5. Fractions and Decimals
  6. Length and Perimeter
  7. Data Collection
  8. Integers
  9. Area
  10. Probability 1
  11. Time
  12. Properties of Geometrical Figures (Parallel Lines)
  13. Indices
  14. Volume
  15.  Linear Relationships 1

List of topics covered by Year 8:

  1. Pythagoras’ Theorem
  2. Fractions, Decimals and Percentages
  3. Ratio and Rates
  4. Angle Sum of Triangles and Quadrilaterals
  5. Single Variable Data Analysis
  6. Algebraic Techniques 2
  7. Equations
  8. Financial Maths
  9. Perimeter and Circumference
  10. Probability 2
  11. Area
  12. Linear Relationships 2
  13. Volume
  14. Congruence

List of topics covered by Year 9:

  1. Numbers of any magnitude
  2. Algebraic Techniques
  3. Area and Surface Area
  4. Volume
  5. Indices (and Surds)
  6. Equations
  7. Geometry (Congruence)
  8. Linear Relationships 1
  9. Data Analysis 1
  10. Financial Maths
  11. Trigonometry
  12. Probability 1
  13. Properties of Geometrical Shapes
  14. Non-Linear Relationships

List of topics covered by Year 10:

  1. Algebraic Techniques
  2. Financial Maths
  3. Ratio and Rates
  4. Equations
  5. Volume
  6. Surface Area
  7. Linear Relationships 2
  8. Trigonometry
  9. Similar Figures / Triangles
  10. Data Analysis 2
  11. Non-Linear Relationships
  12. Probability 2
  13. Functions and Graphs
  14. Logarithms
  15. Polynomials
  16. Circle Geometry

Mathematics in Years 11 and 12

Mathematics Standard for Year 11, 2018 onwards

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course.

All students studying the Mathematics Standard 2 course will sit for an HSC examination.

All students studying the Mathematics Standard course in Stage 6 will have the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 of the Australian Core Skills Framework.

The study of Mathematics Standard 2 in Stage 6:
– enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
– provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs.
– provides opportunities for students to develop an understanding of and skills in further aspects of mathematics for concurrent HSC studies
– provides an appropriate mathematical background for students entering the workforce or undertaking further tertiary training.

Mathematics General for Year 12, 2018

The Preliminary Mathematics General course and the HSC Mathematics General 2 course are designed to promote the development of knowledge, skills and understanding in areas of mathematics that have direct application to the broad range of human activity. The Preliminary Mathematics General course content is written in five strands and two Focus Studies. The HSC Mathematics General course content is written in the same five Strands and includes a further two Focus Studies. As well as introducing some new mathematical content, the Focus Studies give students the opportunity to apply and develop, in contemporary contexts the knowledge, skills and understanding initially developed in the study of the Strands.

The Preliminary Mathematics General / HSC Mathematics General 2 pathway provides students with the opportunity to develop an understanding of and competence in further aspects of mathematics for a range of concurrent HSC studies, such as in the life sciences, the humanities and business studies. The pathway also provides a strong foundation for students entering the workforce and/or undertaking further training, and for university courses in the humanitites, nursing and paramedical sciences.

Mathematics

The course is intended to give students who have demonstrated general competence in the skills of Stage 5 Mathematics, an understanding of and competence in some further aspects of Mathematics, which are applicable to the real world. It has general educational merit and is also useful for concurrent studies in science and commerce. The course is a sufficient basis for further studies in Mathematics as a minor discipline at tertiary level in support of courses such as the life sciences or commerce. Students who require substantial Mathematics at a tertiary level, supporting the physical sciences, computer science or engineering, should undertake the Mathematics Extension 1 course or both the Mathematics Extension 1 and Mathematics Extension 2 courses.

Mathematics extension 1

The content of this course, which includes the whole of the 2 Unit Mathematics course, and its depth of treatment indicate that it is intended for students who have demonstrated a mastery of the skills of Stage 5 Mathematics and who are interested in the study of further skills and ideas in Mathematics. The course is intended to give these students a thorough understanding of and competence in aspects of Mathematics including many which are applicable to the real world. It has general educational merit and is also useful for concurrent studies of science, industrial arts and commerce. The course is a recommended minimum basis for further studies in Mathematics as a major discipline at a tertiary level, and for the study of Mathematics in support of the physical and engineering sciences. Although the course is sufficient for these purposes, students of outstanding mathematical ability should consider undertaking the Mathematics Extension 2 course.

Mathematics extension 2

The course is designed for students with a special interest in Mathematics who have shown that they possess special aptitude for the subject. The content includes the whole of the 2 unit Mathematics course and the whole of the Extension 1 course as well as additional topics. The course offers suitable preparation for study of Mathematics at tertiary level, as well as a deeper and more extensive treatment of certain topics than is offered in other Mathematics courses. It represents a distinctly high level in school Mathematics involving the development of considerable manipulative skill and a high degree of understanding of the fundamental ideas of algebra and calculus. These topics are treated in some depth. Thus, the course provides a sufficient basis for a wide range of useful applications of Mathematics as well as an adequate foundation for the further study of the subject.

Mathematics assessment in Years 11 and 12

  • Class tests, assignments or activities may be conducted throughout each term and will be used to help assess each student’s level of achievement of the course outcome.
  • Students will be expected to have a scientific calculator to use in class, common tests and examinations from the beginning of Year 8 and for selected topics throughout Year 7.
  • Years 7 – 10 In the Term 1 Common Test, Mid Year Examination, Term 3 Common Test and End of Year Examination each student will be assessed on a common standard section and a section covering Extension or Fundamental work. The exception is Years 7 and 8 which do not have a common test in Term 1.
  • The Preliminary Course is assessed by the Mid Course Examination in Term 2, a task in later Term 2 or early Term 3 and the Preliminary Examination in Term 3.
  • The Higher School Certificate Course is assessed on a task in Term 4 of Year 11, the Mid Course Examination in Term 1, a task in Term 2 and the Trial Higher School Certificate in Term 3. Students studying Mathematics Extension 2 sit two examinations each term (Extension 2 and Extension 1), students studying Mathematics Extension 1 sit two examinations each assessment (Extension 1 and 2 Unit), students studying Mathematics and Mathematics  General sit one examination only each assessment.