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The Year 11 Mathematics Advanced course focuses on developing students' understanding of core mathematical concepts and their applications in algebra, geometry, trigonometry, calculus, and probability. Students will work with mathematical reasoning, problem-solving skills, and will be prepared for the more advanced topics in Year 12.
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 Advanced. Homework completion is consistent with a few late submissions. Overall, excellent progress!
In Term 1, students focus on algebraic techniques, including simplifying and solving equations and inequalities. They will work with linear and quadratic equations, exploring how to factorise and solve them. Students also study algebraic expressions and apply their knowledge to solve real-world problems. The term covers topics such as the manipulation of algebraic fractions and solving simultaneous equations.
Term 2 introduces students to the concept of functions, including domain, range, and notation. Students will graph different types of functions, including linear, quadratic, cubic, and other polynomial functions. The focus is on understanding transformations such as translations, reflections, and stretching/compressing graphs. The term also includes solving problems that involve function applications in real-world contexts.
In Term 3, students explore trigonometric ratios and identities, focusing on solving right-angled triangles and applying trigonometric functions to model periodic phenomena. The term covers the use of the sine, cosine, and tangent ratios, as well as the application of the unit circle. Students will also apply trigonometric identities to simplify expressions and solve problems in a variety of contexts, including waves and oscillations.
Term 4 introduces students to basic probability and statistics. Students will calculate probabilities, work with probability distributions, and explore key statistical concepts such as mean, median, mode, and standard deviation. The focus will also include financial mathematics, where students will apply mathematical principles to solve problems involving interest rates, loans, and investments. The term concludes with a review of all concepts and preparation for final assessments.