#
**Year 10 Mathematics**

##
**Essentials - Course Outline**

**Overview**

Year 10 Mathematics Essentials students are prepared for entry to 2CD Mathematics or 2AB Mathematics in Year 11. They will perform mentally arithmetical operations. They will solve simple linear equations. They will sketch linear and quadratics functions. They will use formal methods to find x and y intercepts, gradient and linear rules. They will solve problems using Pythagoras' theorem and right-angled trigonometry. They will calculate square and cube roots. They will solve problems involving percentages. They will collect, represent, analyse and interpret data. They will find the perimeter, area, surface area and volume of shapes. They will solve problems involving ratio and determine best buys. They will find and interpret simple probabilities. They will factorise and solve simple quadratics. They will transform 2D shapes. They will solve simple financial problems.

**Topics**

- mental skills
- linear equations
- Pythagoras Theorem
- BIMDAS
- tangent ratio
- number concepts
- algebraic manipulation
- statistics
- perimeter, area, surface area and volume
- rates, ratio and proportion
- solving simple equations
- plotting graphs
- probability
- simple quadratics
- scale drawing
- transformations

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**

Year 10 Practical students are prepared for entry to 1BC Mathematics in Year 11. The students will broadened 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.

**Topics**

- time calculations
- number concepts
- statistics and probability
- elementary algebra
- classifying 3D solids
- classifying 2D shapes
- transformations
- fraction arithmetic
- finance
- perimeter, area and capacity
- mass
- bearings
- symmetry
- decimals

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%. 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**

Year 10 Mathematics Advanced A students are prepared for entry to both 3AB Mathematics and 3AB Mathematics Specialist in Year 11. They will manipulate and simplify surds. They will perform complex algebraic simplification and factorisation techniques. They will use both written and CAS methods to solve linear equations, simultaneous linear equations, linear inequalities and quadratic equations. They will solve problems involving direct, partial and inverse proportion. They will write formal proofs to show similarity or congruence in triangles. They will solve problems using non-right angled trigonometric formulae. They will graph and transform reciprocal functions. They will find total surface area and volume of complex compound solids. They will write in function notation. They will use spreadsheets to model financial situations such as interest and budgets. They will find and interpret measures of central tendency and spread.

**Topics**

- rational and irrational numbers
- solving equations and inequalities
- index laws
- linear, quadratic and exponential relationships
- rates, ratio and proportion
- similar and congruent triangles
- reciprocal functions
- applications of Pythagoras Theorem
- statistics and probability
- perimeter, area, volume and capacity
- non right-angled trigonometry
- function notation
- spreadsheets and 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

##
**Advanced B - Course Outline**

**Overview**

Year 10 Mathematics Advanced B students are prepared for entry to 3AB Mathematics or 2CD Mathematics in Year 11. They will manipulate and simplify surds. They will perform algebraic simplification and factorisation techniques. They will use both written and CAS methods to solve linear equations, simultaneous linear equations, linear inequalities and quadratic equations. They will solve problems involving direct and partial proportion. They will solve problems using non-right angled trigonometric formulae. They will graph and transform reciprocal functions. They will find total surface area and volume of compound solids. They will write in function notation. They will use spreadsheets to model financial situations such as interest and budgets. They will find and interpret measures of central tendency and spread.

**Topics**

- rational and irrational numbers
- solving equations and inequalities
- index laws
- linear, quadratic and exponential relationships
- rates, ratio and proportion
- reciprocal functions
- applications of Pythagoras Theorem
- statistics and probability
- perimeter, area, volume and capacity
- non right-angled trigonometry
- function notation
- spreadsheets and 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 investigationswhich 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