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Year 10 Mathematics builds upon the knowledge and skills developed in earlier years and is structured to align with the NSW Mathematics Kû10 Syllabus, particularly covering outcomes in Stage 5. This course prepares students for senior mathematics by reinforcing core concepts and introducing more abstract reasoning, algebraic manipulation, and real-world applications. Students will engage in problem-solving, modelling, and mathematical communication across the key strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability.
Book LessonReports are sent via email, by the end of term.
Reports are included in the price below. Also note the reports sent are more comprehensive.
89%, +12% Term 3
82%, +7% Term 3
The student has shown steady improvement across the terms, in Math. Homework completion is consistent with a few late submissions. Overall, excellent progress!
The first term focuses on deepening studentsÆ understanding of algebraic concepts, beginning with the manipulation of algebraic expressions including expansion and factorisation techniques. Students learn to simplify and operate with algebraic fractions and apply the laws of indices, including negative, zero, and fractional indices. The concept of surds is introduced, and students practise simplifying and operating with them. The term also covers the solution of a variety of equations including linear, fractional, and quadratic equations, as well as inequalities. Students will apply algebra to real-world word problems, developing skills in modelling and abstraction.
During Term 2, students explore coordinate geometry, learning to calculate gradients, midpoints, and distances between points on the Cartesian plane. They apply these concepts to determine the equations of lines and interpret geometric relationships algebraically. Students further develop their understanding of linear and quadratic relationships by solving simultaneous equations both algebraically and graphically. They examine patterns in quadratic sequences and explore the graphs of parabolas through transformations and factorisation. The term concludes with the study of probability, beginning with basic concepts and extending to two-step probability, Venn diagrams, tree diagrams, and conditional probability, with a focus on applying these tools to real-life scenarios.
In the third term, students are introduced to trigonometry through the use of sine, cosine, and tangent in right-angled triangles. They use these ratios to solve practical problems and are extended to non-right-angled triangle calculations through the sine and cosine rules in the advanced pathway. Measurement is revisited with more complex problems involving the surface area and volume of composite solids, including unit conversion and application in rate problems such as speed and density. Geometry topics covered include congruence, similarity, and a formal introduction to circle geometry, where students prove results involving chords, tangents, and angles using logical reasoning and deductive proofs.
The final term emphasises the practical application of mathematics in everyday life. Students study financial mathematics topics such as income, taxation, budgeting, and banking, including both simple and compound interest. They learn to interpret real-world financial data and solve problems involving loans, investments, and depreciation. In statistics, students learn how to collect, display, and analyse data using a variety of graphical and numerical methods. They calculate and interpret measures of central tendency and dispersion, and in the advanced stream, are introduced to concepts such as standard deviation and box plots. The term concludes with revision and exam preparation, during which students consolidate their understanding of the yearÆs content and develop strategies for success in formal assessments and examinations. Students also receive guidance on selecting their Stage 6 Mathematics pathway.