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The Year 11 Mathematics Extension 1 course provides students with an opportunity to develop advanced mathematical skills, building on the core concepts from the Advanced course. Students will explore a wide range of topics, including functions, polynomials, trigonometry, combinatorics, and rates of change, and develop their ability to solve complex problems with higher-level mathematical techniques.
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 Extension 1. Homework completion is consistent with a few late submissions. Overall, excellent progress!
In Term 1, students deepen their understanding of functions, exploring various function types and their properties. This includes investigating different transformations of graphs, including translations, stretches, and reflections. Students will learn how to sketch and analyze the graphs of different functions, particularly polynomial functions, and apply these techniques to solve real-world problems.
Term 2 focuses on polynomials, where students learn to factorise polynomials, apply the factor theorem, and solve polynomial equations. The term also covers further trigonometric identities, including those related to double angles, sum and difference formulas, and compound angles. Students will apply these identities to simplify and solve trigonometric equations and problems involving angles.
In Term 3, students study inverse functions, learning to find the inverse of various types of functions and applying this knowledge to solve equations and real-world problems. The term also covers permutations and combinations, where students will explore the fundamental principles of counting and apply these techniques to solve probability problems, such as determining the number of ways to arrange objects or select groups from a larger set.
In Term 4, students focus on rates of change, learning how to calculate and interpret the rate of change in a variety of contexts. This includes understanding instantaneous rates of change through the concept of derivatives and applying this to motion, growth, and decay problems. The term concludes with a review of all key concepts and problem-solving techniques in preparation for end-of-year assessments.