Unit 1 Essential Mathematics
This unit provides students with the mathematical skills and understanding to solve problems relating to calculations, applications of measurement, the use of formulas to find an unknown quantity, and the interpretation of graphs. Teachers are encouraged …
Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
Unit 2 Essential Mathematics
This unit provides students with the mathematical skills and understanding to solve problems related to representing and comparing data, percentages, rates and ratios, the mathematics of finance, and time and motion. Teachers are encouraged to apply the …
Unit 2 | Essential Mathematics | Mathematics | Senior secondary curriculum
Unit 3 Essential Mathematics
This unit provides students with the mathematical skills and understanding to solve problems related to measurement, scales, plans and models, drawing and interpreting graphs, and data collection. Teachers are encouraged to apply the content of the four …
Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
Unit 4 Essential Mathematics
This unit provides students with the mathematical skills and understanding to solve problems related to probability, Earth geometry and time zones, and loans and compound interest. Teachers are encouraged to apply the content of the three topics in this …
Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
Unit 1 General Mathematics
This unit has three topics: ‘Consumer arithmetic’, ‘Algebra and matrices’, and ‘Shape and measurement’. ‘Consumer arithmetic’ reviews the concepts of rate and percentage change in the context of earning and managing money, and provides a fertile ground …
Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
Unit 2 General Mathematics
This unit has three topics: ‘Univariate data analysis and the statistical investigation process’, ‘Linear equations and their graphs’; and ‘Applications of trigonometry’. ‘ Univariate data analysis and the statistical investigation process’ develops students’ …
Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
Unit 3 General Mathematics
This unit has three topics: ‘Bivariate data analysis’, ‘Growth and decay in sequences’ and ‘Graphs and networks’. ‘Bivariate data analysis’ introduces students to some methods for identifying, analysing and describing associations between pairs of variables, …
Unit 3 | General Mathematics | Mathematics | Senior secondary curriculum
Unit 4 General Mathematics
This unit has three topics: ‘Time series analysis’; ‘ Loans, investments and annuities’ and ‘Networks and decision mathematics’. ‘Time series analysis’ continues students’ study of statistics by introducing them to the concepts and techniques of time …
Unit 4 | General Mathematics | Mathematics | Senior secondary curriculum
Unit 1 Mathematical Methods
This unit begins with a review of the basic algebraic concepts and techniques required for a successful introduction to the study of calculus. The basic trigonometric functions are then introduced. Simple relationships between variable quantities are …
Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 2 Mathematical Methods
The algebra section of this unit focuses on exponentials and logarithms. Their graphs are examined and their applications in a wide range of settings are explored. Arithmetic and geometric sequences are introduced and their applications are studied. Rates …
Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 3 Mathematical Methods
In this unit the study of calculus continues with the derivatives of exponential and trigonometric functions and their applications, together with some differentiation techniques and applications to optimisation problems and graph sketching. It concludes …
Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 4 Mathematical Methods
The calculus in this unit deals with derivatives of logarithmic functions. In probability and statistics, continuous random variables and their applications are introduced and the normal distribution is used in a variety of contexts. The study of statistical …
Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
Unit 1 Specialist Mathematics
Unit 1 of Specialist Mathematics contains three topics – ‘Combinatorics’, ‘Vectors in the plane’ and ‘Geometry’ – that complement the content of Mathematical Methods. The proficiency strand, Reasoning, of the F–10 curriculum is continued explicitly in …
Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Unit 2 Specialist Mathematics
Unit 2 of Specialist Mathematics contains three topics – ‘Trigonometry’, ‘Real and complex numbers’ and ‘Matrices’… ‘Trigonometry’ contains techniques that are used in other topics in both this unit and Unit 3. ‘Real and complex numbers’ provides a continuation …
Unit 2 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Unit 3 Specialist Mathematics
Unit 3 of Specialist Mathematics contains three topics: ‘Vectors in three dimensions’, ‘Complex numbers’ and ‘Functions and sketching graphs’. The study of vectors was introduced in Unit 1 with a focus on vectors in two-dimensional space. In this unit, …
Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Unit 4 Specialist Mathematics
Unit 4 of Specialist Mathematics contains three topics: ‘Integration and applications of integration’, ‘Rates of change and differential equations’ and ‘Statistical inference’. In Unit 4, the study of differentiation and integration of functions continues, …
Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
Unit 1: Biodiversity and the interconnectedness of life Biology
The current view of the biosphere as a dynamic system composed of Earth’s diverse, interrelated and interacting ecosystems developed from the work of eighteenth and nineteenth century naturalists, who collected, classified, measured and mapped the distribution …
Unit 1 | Biology | Science | Senior secondary curriculum
Unit 2: Cells and multicellular organisms Biology
The cell is the basic unit of life. Although cell structure and function are very diverse, all cells possess some common features: all prokaryotic and eukaryotic cells need to exchange materials with their immediate external environment in order to maintain …
Unit 2 | Biology | Science | Senior secondary curriculum
Unit 3: Heredity and continuity of life Biology
Heredity is an important biological principle as it explains why offspring (cells or organisms) resemble their parent cell or organism. Organisms require cellular division and differentiation for growth, development, repair and sexual reproduction. In …
Unit 3 | Biology | Science | Senior secondary curriculum
Unit 4: Maintaining the internal environment Biology
In order to survive, organisms must be able to maintain system structure and function in the face of changes in their external and internal environments. Changes in temperature and water availability, and the incidence and spread of infectious disease, …
Unit 4 | Biology | Science | Senior secondary curriculum