# Year 10 - Mathematical Methods Semester 2

**Year 10 Mathematical Methods Semester 2**

This subject is for students who have achieved solid results in Semester 1 Year 10 Mathematics and who are thinking about continuing with higher levels of Mathematics at the VCE level (Maths Methods and Specialist Maths).

In Year 10 Mathematical Methods students extend their understanding of linear equations, straight-line graphs and their applications. Students will also learn how to solve equations with two unknowns, to use index laws, work with irrational numbers, sketch parabolas, solve quadratic equations and model with quadratic equations.

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 studentsâ€™ awareness of the importance of mathematics in everyday life in a technological society, and confidence in making effective use of mathematical ideas, techniques and processes.

Students will engage in the following mathematical activities within the topics mentioned above:

- 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 unfamiliar situations, 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.

The Mathematical Methods curriculum is built around the strand of Number and Algebra.

**Main Assessment Tasks**

- Skills based tasks, for example, tests, homework sheets
- Problem solving and Modelling activities

Throughout the semester students will develop knowledge based around the following key foci:

**Number and Algebra**: Students solve problems involving linear equations and inequalities, quadratic equations and pairs of simultaneous linear equations and related graphs, with and without the use of digital technology. Students substitute into formulas, find unknown values, manipulate linear algebraic expressions, expand binomial expressions and factorise and solve a variety of quadratic expressions, with and without the use of digital technology. They represent linear, quadratic and exponential functions numerically, graphically and algebraically, and use them to model situations and solve practical problems.

**Equipment**

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

**Pathways**

Year 10 Mathematical Methods leads directly into the VCE Mathematics units of:

- Specialist Mathematics Units 1 and 2 and Mathematical Methods Units 1 and 2, or,
- Mathematical Methods Unit 1 and 2, or,
- If struggling with Year 10 Mathematical Methods the students can do General Mathematics Units 1 and 2

The image shows students working collaboratively on a modelling task using CAS technology to assist them.

## Possible pathway could lead into -

### SPECIALIST MATHS 1-2

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### Maths Methods Unit 1-2

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