# Year 11 - SPECIALIST MATHS 1-2

Specialist Mathematics is specifically designed for students who wish to undertake an in-depth study of mathematics, with an emphasis on concepts, skills and processes related to mathematical structure, modelling, problem solving and reasoning.

Mathematical Methods Units 1 and 2 and Specialist Mathematics Units 1 and 2, taken in conjunction, provide a comprehensive preparation for Specialist Mathematics Units 3 and 4.

Students must have studied Year 10 Mathematical Methods Semester 2 prior to beginning Unit 1.

Students will use the CAS (Computer Algebra Systems) calculator as a learning tool to enhance their understanding of the above concepts.

This subject is designed to provide access to worthwhile and challenging mathematical learning in a way that takes into account the needs and aspirations of a wide range of students. It is also designed to promote students’ awareness of the importance of mathematics in everyday life in a technological society, and confidence in making effective use of mathematical concepts, processes and skills in practical and theoretical contexts.

In particular, this study has a focus on interest in the discipline of mathematics in its own right and investigation of a broad range of applications, as well as development of a sound background for further studies in mathematics and mathematics related fields.

Students will engage in the following mathematical activities within the areas of study:

- Apply knowledge and skills: Learning and practising mathematical algorithms, routines and techniques, and using them to find solutions to standard problems.
- Model, investigate and solve problems: The application of mathematical knowledge and skills in situations that range from well-defined and familiar to open-ended and unfamiliar, including situations that require investigative, modelling or problem solving approaches.
- Use technology: The effective and appropriate use of technology to produce results, which support learning mathematics and its application in different contexts.

**Main Assessment Tasks: **Tasks will include components to be completed with and without the use of technology

- Skills based tasks (for example, tests)
- Modelling, problem-solving and mathematical investigations
- End of Unit Examination

Students will develop knowledge based around the following areas of study:

**Variation **– How long will it take to stop if I travel at 80km/hr?

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**Number systems and recursion** – Is this Complex or Real?

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**Applications of Trigonometry **– Where am I and how far am I in relation to base camp?

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**Graphs of non-linear relations** – Will my satellite miss the focal asteroid?

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**Geometry in the plane and proof** – Is a circle as simple as it looks?

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**Simulation, sampling and sampling distributions – **How many red smarties are in the box?

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**Vectors** – How must I sail my Yacht to overcome the current?

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**Kinematics** – How could that last train crash have been avoided?

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**Equipment**

- Text book – see the booklist for the correct title and edition
- CAS calculator – TI-nspire CX CAS
- Folder or exercise books
- Digital device
- Ruler

**Pathways**

- Unit 1 and 2 Specialist Mathematics is a precursor for Specialist Mathematics Units 3 and 4 and must be studied in conjunction with Unit 1 and 2 Mathematical Methods.

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## Possible pathway could lead into -

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