# Year 9 Mathematics

## Essentials - Course Outline

**Overview**

Year 9 Essentials students will cover the standard Australian Curriculum. They will express numbers in scientific notation and apply the index laws to numbers. They will expand and factorise algebraic expressions and solve problems involving simple interest. Students solve linear equations using graphical and algebraic techniques. Students list outcomes, assign and determine probabilities for events. They will construct displays and investigate the position of the mean and median and describe the shape of the distribution. Students will calculate areas of shapes and volume and surface area of right prisms. They will investigate similar and congruent triangles and problems involving Pythagoras' theorem. Students recognise the connection between similarity and the trigonometric ratios and use trigonometry to solve right-angled triangle problems.

**Topics**

- Scientific notation
- Index laws
- Algebraic factorisation
- Simple interest
- Solve linear equations algebraically
- Display data
- Summary statistics
- Volume and surface area
- Pythagoras' theorem
- Trigonometry of right-angled triangles

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

**Assessment**

Assessment will include investigations which require application of acquired knowledge to new situations and problem solving ability: 16% | tests: 48% | examinations: 28%

**Reporting**

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

**Student expectations**

Students are expected to:

- bring the required text, calculator and stationery to each lesson
- complete regular homework from a variety of sources including the text, worksheets and MathsOnline
- be aware of assessment dates and have prepared thoroughly for each assessment
- be proactive in seeking help from the teacher when required

##
**Practical - Course Outline**

**Overview**

The students will broaden their understanding of mathematics at an elementary level by completing topics in the content strands of Number and Algebra, Measurement and Geometry and Statistics and Probability. Some students may be on individual education programs more suited to their ability. As far as possible, content from the Australian Curriculum for Year 9 will be covered.

**Topics**

- rounding
- arithmetic
- ratios
- number concepts
- solve simple algebraic equations
- probability
- statistics
- graph rules
- angle concepts
- transformations
- perimeter, area and volume
- Pythagoras' theorem
- percentages
- finance
- timetables

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

**Assessment**

Assessment will include investigations which require application of acquired knowledge to new situations and problem solving ability 16% | tests: 48% | and examinations: 28%. Some students may do modified assessments to suit their needs.

**Reporting**

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

**Student Expectations**

Students are expected to:

- bring the required text, calculator and stationery to each lesson
- complete regular homework from a variety of sources including the text, worksheets and MathsOnline
- be aware of assessment dates and have prepared thoroughly for each assessment
- be proactive in seeking help from the teacher when required

##
**Advanced A - Course Outline**

**Overview**

In addition to the standard Australian Curriculum, Year 9 Mathematics Advanced A will students tackle problems at a higher difficulty level as well as a number of more demanding topics. They will express numbers in scientific notation and apply the index laws to numbers. They will expand and factorise algebraic expressions and solve problems involving simple interest. Students solve linear equations using graphical and algebraic techniques. Students list outcomes, assign and determine probabilities for events. They will construct displays and investigate the position of the mean and median and describe the shape of the distribution. Students will calculate areas of shapes and volume and surface area of right prisms. They will investigate similar and congruent triangles and problems involving Pythagoras' theorem. Students recognise the connection between similarity and the trigonometric ratios and use trigonometry to solve right-angled triangle problems.

**Topics**

- scientific notation
- index laws
- algebraic factorisation
- simple interest
- solve linear equations algebraically
- solving simultaneously using graphs
- display data
- summary statistics
- volume and surface area
- Pythagoras' theorem, including 3D situations
- Trigonometry of right-angled triangles
- Are of sectors
- Perfect squares, difference of squares

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

**Assessment**

Assessment will include investigations which require application of acquired knowledge to new situations and problem solving ability: 16% | tests: 48% | examinations 28%.

**Reporting**

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

**Student Expectations**

Students are expected to:

- bring the required text, calculator and stationery to each lesson
- complete regular homework from a variety of sources including the text, worksheets and MathsOnline
- be aware of assessment dates and have prepared thoroughly for each assessment
- be proactive in seeking help from the teacher when required

##
**Advanced B - Course Outline**

**Overview**

In addition to the standard Australian Curriculum, Year 9 Mathematics Advanced B will students tackle problems at a slightly higher difficulty level as well as some more demanding topics. They will express numbers in scientific notation and apply the index laws to numbers. They will expand and factorise algebraic expressions and solve problems involving simple interest. Students solve linear equations using graphical and algebraic techniques. Students list outcomes, assign and determine probabilities for events. They will construct displays and investigate the position of the mean and median and describe the shape of the distribution. Students will calculate areas of shapes and volume and surface area of right prisms. They will investigate similar and congruent triangles and problems involving Pythagoras' theorem. Students recognise the connection between similarity and the trigonometric ratios and use trigonometry to solve right-angled triangle problems.

**Topics**

- scientific notation
- index laws
- algebraic factorisation
- simple interest
- solve linear equations algebraically
- display data
- summary statistics
- volume and surface area
- Pythagoras' theorem
- Trigonometry of right-angled triangles
- Perfect squares and difference squares
- finance

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

**Assessment**

Assessment will include investigations which require application of acquired knowledge to new situations and problem solving ability: 16% | tests: 48% | examinations 28%.

**Reporting**

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

**Student Expectations**

Students are expected to:

- bring the required text, calculator and stationery to each lesson
- complete regular homework from a variety of sources including the text, worksheets and MathsOnline
- be aware of assessment dates and have prepared thoroughly for each assessment
- be proactive in seeking help from the teacher when required