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Board Developed Life Skills Courses

Content Endorsed Courses




Board Developed Courses

Mathematics Standard 1

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Board Developed Course

Course number(s):

  • 11236 Mathematics Standard (2 units – Year 11)
  • 15231 Mathematics Standard 1 (2 units – Year 12)

Optional examination: Mathematics Standard students who intend to undertake the optional HSC examination must also be enrolled in this course:

  • 15232 Mathematics Standard 1 (2 units – Year 12)

Prerequisites: The Mathematics Standard 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1 and the following substrands of Stage 5.2:

  • Area and surface area
  • Financial mathematics
  • Linear relationships
  • Non-linear relationships
  • Right-angled triangles (Trigonometry)
  • Single variable data analysis
  • Volume
  • some content from Equations
  • some content from Probability.

Corequisites: Nil

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

  • 15236 Mathematics Standard 2 (2 units – Year 12)
  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)
  • 11250 Mathematics Extension (1 unit – Year 11)
  • 15250 Mathematics Extension 1 (1 unit – Year 12)
  • 15260 Mathematics Extension 2 (1 unit – Year 12)
  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Course description

Mathematics Standard students use mathematics to make informed decisions in their daily lives. Students develop understanding and competence in mathematics through real-world applications. These skills can be used in a range of concurrent HSC subjects.

Mathematics Standard 1 improves numeracy by building student confidence and making mathematics meaningful. Numerate students can manage situations or solve problems in everyday life, work or further learning.

What students learn

The study of Mathematics Standard 1 in Stage 6:

  • enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs
  • provides an appropriate mathematical background for students entering the workforce and/or undertaking further community and workplace training.

Year 11 course

The Mathematics Standard Year 11 course content comprises four Topics, with the Topics divided into Subtopics.

Topic: Algebra

  • Formulae and Equations
  • Linear Relationships

Topic: Measurement

  • Applications of Measurement
  • Working with Time

Topic: Financial Mathematics

  • Money Matters

Topic: Statistical Analysis

  • Data Analysis
  • Relative Frequency and Probability

Year 12 course

The Mathematics Standard 1 Year 12 course content includes the same four Topics and the additional Topic ‘Networks’. The Topics and Subtopics are:

Topic: Algebra

  • Types of Relationships

Topic: Measurement

  • Right-angled Triangles
  • Rates
  • Scale Drawings

Topic: Financial Mathematics

  • Investment
  • Depreciation and Loans

Topic: Statistical Analysis

  • Further Statistical Analysis

Topic: Networks

  • Networks and Paths

Industries related to Mathematics Standard 1

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course.

Mathematics Standard Year 11 course content that is essential for Mathematics Standard 1 Year 12 is identified by the symbol .

Students studying the Mathematics Standard 1 course may elect to undertake an optional HSC examination.

To be eligible for an ATAR, students studying the Mathematics Standard 1 course must undertake a pattern of study to satisfy the ATAR requirements and complete the optional HSC examination. For the purposes of calculating the ATAR, no more than 2 units from Category B courses can be included.

All students studying the Mathematics Standard course in Stage 6 have the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 of the Australian Core Skills Framework.




Mathematics Standard 2

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Board Developed Course

Course number(s):

  • 11236 Mathematics Standard (2 units – Year 11)
  • 15236 Mathematics Standard 2 (2 units – Year 12)

Prerequisites: The Mathematics Standard 2 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1 and the following substrands of Stage 5.2:

  • Area and surface area
  • Financial mathematics
  • Linear relationships
  • Non-linear relationships
  • Right-angled triangles (Trigonometry)
  • Single variable data analysis
  • Volume
  • some content from Equations
  • some content from Probability.

Corequisites: Nil

Eligibility:Nil

Study via self-tuition: Yes

Exclusions:

  • 15231 Mathematics Standard 1 (2 units – Year 12)
  • 15232 Mathematics Standard 1 (Exam) (2 units – Year 12)
  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)
  • 11250 Mathematics Extension (1 unit – Year 11)
  • 15250 Mathematics Extension 1 (1 unit – Year 12)
  • 15260 Mathematics Extension 2 (1 unit – Year 12)
  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Students who have followed the Mathematics Standard pathway in Year 11 are encouraged to study the Mathematics Standard 1 Year 12 course.

Course description

Mathematics Standard students use mathematics to make informed decisions in their daily lives. Students develop understanding and competence in mathematics through real-world applications. These skills can be used in a range of concurrent HSC subjects.

In Mathematics Standard 2 students extend their mathematical skills beyond Stage 5 without the in-depth knowledge of higher mathematics that the study of calculus would provide. This course prepares students for a wide range of educational and employment aspirations, including continuing their studies at a tertiary level.

What students learn

The study of Mathematics Standard 2 in Stage 6:

  • enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs
  • provides opportunities for students to develop an understanding of and skills in further aspects of mathematics for concurrent HSC studies
  • provides an appropriate mathematical background for students entering the workforce or undertaking further tertiary training.

Year 11 course

The Mathematics Standard Year 11 course comprises four Topics, with the Topics divided into Subtopics.

Topic: Algebra

  • Formulae and Equations
  • Linear Relationships

Topic: Measurement

  • Applications of Measurement
  • Working with Time

Topic: Financial Mathematics

  • Money Matters

Topic: Statistical Analysis

  • Data Analysis
  • Relative Frequency and Probability

Year 12 course

The Mathematics Standard 2 Year 12 course content includes the same four Topics and the additional Topic ‘Networks’.

Topic: Algebra

  • Types of Relationships

Topic: Measurement

  • Non-right-angled Trigonometry
  • Rates and Ratios

Topic: Financial Mathematics

  • Investments and Loans
  • Annuities

Topic: Statistical Analysis

  • Bivariate Data Analysis
  • The Normal Distribution

Topic: Networks

  • Network Concepts
  • Critical Path Analysis

Industries related to Mathematics Standard 2

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC

The Mathematics Standard Year 11 course is a common course for all students studying the Mathematics Standard syllabus. In Year 12 students can elect to study either the Mathematics Standard 1 Year 12 course or the Mathematics Standard 2 Year 12 course.

All students studying the Mathematics Standard 2 course will sit for an HSC examination.

All students studying the Mathematics Standard course in Stage 6 have the opportunity to enhance their numeracy skills and capabilities. The content of the course aligns with Level 3 of the Australian Core Skills Framework.




Mathematics Advanced

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Board Developed Course

Course number(s):

  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)

Prerequisites: The Mathematics Advanced Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Years 7–10 Syllabus and in particular, the content and outcomes of all substrands of Stage 5.1 and Stage 5.2, and the following substrands of Stage 5.3:

  • Algebraic techniques
  • Surds and indices
  • Equations
  • Linear relationships
  • Trigonometry and Pythagoras’ theorem
  • Single variable data analysis

and at least some of the content from the following substrands of Stage 5.3:

  • Non-linear relationships
  • Properties of Geometrical Shapes.

Corequisites: Nil

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

  • 11236 Mathematics Standard (2 units – Year 11)
  • 15231 Mathematics Standard 1 (2 units – Year 12)
  • 15232 Mathematics Standard 1 (Exam) (2 units – Year 12)
  • 15236 Mathematics Standard 2 (2 units – Year 12)
  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Course description

The Mathematics Advanced course is a calculus-based course focused on developing student awareness of mathematics as a unique and powerful way of viewing the world to investigate order, relation, pattern, uncertainty and generality. The course provides students with the opportunity to develop ways of thinking in which problems are explored through observation, reflection and reasoning.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

All students studying the Mathematics Advanced course will sit for an HSC examination.

What students learn

The study of Mathematics Advanced in Stage 6:

  • enables students to develop their knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities for students to consider various applications of mathematics in a broad range of contemporary contexts through the use of mathematical modelling and use these models to solve problems related to their present and future needs
  • provides opportunities for students to develop ways of thinking in which problems are explored through observation, reflection and reasoning
  • provides a basis for further studies in disciplines in which mathematics and the skills that constitute thinking mathematically have an important role
  • provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in a range of disciplines at the tertiary level.

Year 11 course

The Mathematics Advanced Year 11 course content comprises five Topics, with the Topics divided into Subtopics.

Topic: Functions

  • Working with Functions

Topic: Trigonometric Functions

  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities

Topic: Calculus

  • Introduction to Differentiation

Topic: Exponential and Logarithmic Functions

  • Logarithms and Exponentials

Topic: Statistical Analysis

  • Probability and Discrete Probability Distributions

Year 12 course

The Mathematics Advanced Year 12 course content includes four of the same Topics and the Topic ‘Financial Mathematics’ in place of ‘Exponential and Logarithmic Functions’.

Topic: Functions

  • Graphing Techniques

Topic: Trigonometric Functions

  • Trigonometric Functions and Graphs

Topic: Calculus

  • Differential Calculus
  • The Second Derivative
  • Integral Calculus

Topic: Financial Mathematics

  • Modelling Financial Situations

Topic: Statistical Analysis

  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables

Industries related to Mathematics Advanced

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC




Mathematics Extension 1

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Board Developed Course

Course number(s):

  • 11250 Mathematics Extension (1 unit – Year 11)
  • 15250 Mathematics Extension 1 (1 unit – Year 12)

Prerequisites: The Mathematics Extension 1 Year 11 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Years 7–10 Syllabus and, in particular, the content and outcomes of all substrands of Stage 5.1, Stage 5.2 and Stage 5.3, including the optional substrands:

  • Polynomials
  • Logarithms
  • Functions and Other Graphs
  • Circle Geometry.

Corequisites:

  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

  • 11236 Mathematics Standard (2 units – Year 11)
  • 15231 Mathematics Standard 1 (2 units – Year 12)
  • 15232 Mathematics Standard 1 (Exam) (2 units – Year 12)
  • 15236 Mathematics Standard 2 (2 units – Year 12)
  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Course description

Mathematics Extension 1 is focused on enabling students to develop a thorough understanding of and competence in further aspects of mathematics. The course provides opportunities to develop rigorous mathematical arguments and proofs, and to use mathematical models more extensively.

The Mathematics Extension 1 Year 11 course includes the Mathematics Advanced Year 11 course. The Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course, and therefore also the Mathematics Advanced Year 12 course.

All students studying the Mathematics Extension 1 course will sit for an HSC examination.

What students learn

The study of Mathematics Extension 1 in Stage 6:

  • enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensively
  • provides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionality
  • provides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at tertiary level
  • provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas as science, engineering, finance and economics.

Year 11 course

The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics.

Topic: Functions

  • Further Work with Functions
  • Polynomials

Topic: Trigonometric Functions

  • Inverse Trigonometric Functions
  • Further Trigonometric Identities

Topic: Calculus

  • Rates of Change

Topic: Combinatorics

  • Working with Combinatorics

Year 12 course

The Mathematics Extension 1 Year 12 course content includes the Topics ‘Trigonometric Functions’ and ‘Calculus’ continued from Year 11 and introduces three different Topics.

Topic: Proof

  • Proof by Mathematical Induction

Topic: Vectors

  • Introduction to Vectors

Topic: Trigonometric Functions

  • Trigonometric Equations

Topic: Calculus

  • Further Calculus Skills
  • Applications of Calculus

Topic: Statistical Analysis

  • The Binomial Distribution

Industries related to Mathematics Extension 1

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC




Mathematics Extension 2

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Board Developed Course

Course number(s):

  • 15260 Mathematics Extension 2 (1 unit – Year 12)

Prerequisites: The Mathematics Extension 2 Year 12 course has been developed on the assumption that students have studied the content and achieved the outcomes of the Mathematics Advanced Year 11 course and the Mathematics Extension 1 Year 11 course. The Mathematics Extension 2 Year 12 course has also been constructed on the assumption that students are concurrently studying the Mathematics Advanced Year 12 course and the Mathematics Extension 1 Year 12 course.

Corequisites:

  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)
  • 11250 Mathematics Extension (1 unit – Year 11)
  • 15250 Mathematics Extension 1 (1 unit – Year 12)

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

  • 11236 Mathematics Standard (2 units – Year 11)
  • 15231 Mathematics Standard 1 (2 units – Year 12)
  • 15232 Mathematics Standard 1 (Exam) (2 units – Year 12)
  • 15236 Mathematics Standard 2 (2 units – Year 12)
  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Course description

Mathematics Extension 2 provides students with the opportunity to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an appreciation of mathematics as an activity with its own intrinsic value, involving invention, intuition and exploration. Mathematics Extension 2 extends students’ conceptual knowledge and understanding through exploration of new areas of mathematics not previously seen.

The Mathematics Extension 2 Year 12 course includes the Mathematics Extension 1 Year 12 course and the Mathematics Advanced Year 12 course.

The Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 Stage 6 courses form a continuum.

All students studying the Mathematics Extension 2 course will sit for an HSC examination.

What students learn

The study of Mathematics Extension 2 in Stage 6:

  • enables students to develop strong knowledge, understanding and skills in working mathematically and in communicating concisely and precisely
  • provides opportunities to develop strong mathematical manipulative skills and a deep understanding of the fundamental ideas of algebra and calculus, as well as an awareness of mathematics as an activity with its own intrinsic value, involving invention, intuition and exploration
  • provides opportunities at progressively higher levels for students to acquire knowledge, understanding and skills in relation to concepts within areas of mathematics that have applications in an increasing number of contexts
  • provides a basis for progression to further study in mathematics or related disciplines and in which mathematics has a vital role at tertiary level
  • provides an appropriate mathematical background for students whose future pathways will be founded in mathematics and its applications in such areas as science, engineering, finance and economics.

Year 12 course

The Mathematics Extension 2 course comprises five Topics, with the Topics divided into Subtopics.

Topic: Proof

  • The Nature of Proof
  • Further Proof by Mathematical Induction

Topic: Vectors

  • Further Work with Vectors

Topic: Complex Numbers

  • Introduction to Complex Numbers
  • Using Complex Numbers

Topic: Calculus

  • Further Integration

Topic: Mechanics

  • Applications of Calculus to Mechanics

Industries related to Mathematics Extension 2

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC




Board Developed Life Skills Courses

Mathematics Life Skills

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Board Developed Course

Course number(s):

  • 16611 Mathematics Life Skills (2 units – Year 11)
  • 16611 Mathematics Life Skills (2 units – Year 12)

Prerequisites: A student studying any Stage 6 Life Skills course will usually have completed one or more courses based on Life Skills outcomes and content in Years 7–10, except under special circumstances.

Corequisites: Nil

Eligibility: Life Skills Eligibility

Study via self-tuition: No

Exclusions:

  • 11255 Mathematics Advanced (2 units – Year 11)
  • 15255 Mathematics Advanced (2 units – Year 12)
  • 11250 Mathematics Extension (1 unit – Year 11)
  • 15250 Mathematics Extension 1 (1 unit – Year 11)
  • 15260 Mathematics Extension 2 (1 unit – Year 12)
  • 11236 Mathematics Standard (2 units – Year 11)
  • 15231 Mathematics Standard 1 (2 units – Year 12)
  • 15232 Mathematics Standard 1 (Exam) (2 units – Year 12)
  • 15236 Mathematics Standard 2 (2 units – Year 12)

Course description

The Mathematics Life Skills Stage 6 course aligns with the rationale, aim and objectives of the Mathematics Standard Stage 6 course. The Life Skills content has been developed from the Mathematics Standard syllabus to provide opportunities for integrated delivery.

The Mathematics Life Skills Stage 6 course focuses on the development of students’ ability to apply mathematics in a variety of contexts in order to enhance and encourage their participation in post-school contexts.

Students are provided with opportunities to apply mathematical operations to practical situations and develop problem-solving in real-life situations. They develop their practical skills in measurement, calculating with money, statistics and using plans and maps. Students also have the opportunity to explore the concepts of earning and spending money and apply their understanding in a range of financial decision-making contexts.

Study in the Mathematics Life Skills Stage 6 course enhances students’ access to community living, further education, training and employment.

What students learn

The structure of the Mathematics Life Skills Stage 6 course allows teachers to provide a broad and balanced program that reflects the needs of students within the context of the collaborative curriculum planning process.

The course is organised into the following topics and subtopics:

Topic: Number and Modelling (Algebra)

  • Review of Number Properties
  • Mathematical Modelling

Topic: Measurement

  • Everyday Measurement
  • Measuring Two-Dimensional and Three-Dimensional Shapes

Topic: Financial Mathematics

  • Decimals, Percentages and Money
  • Earning Money
  • Spending Money

Topic: Statistics and Probability (Statistical analysis)

  • Statistics
  • Probability

Topic: Plans, Maps and Networks (Networks)

  • Using Plans, Maps and Networks

The Topics provide possible frameworks for addressing the Mathematics Life Skills Stage 6 outcomes and content, and are suggestions only. The course provides flexibility to develop programs appropriate to the needs, strengths, goals, interests and prior learning of students.

Industries related to Mathematics Life Skills

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

On entering students for the Mathematics Life Skills Stage 6 course, the principal is certifying that the student is eligible and the decision is the result of the collaborative curriculum planning process.

Students are expected to address or achieve one or more of the Mathematics Life Skills Stage 6 outcomes. They need not address or complete all of the content to demonstrate achievement of an outcome.

RoSA and HSC




Content Endorsed Courses

Numeracy

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Content Endorsed Course

Course number(s):

  • 30130 Numeracy (2 units – Year 11)
  • 30140 Numeracy (2 units – Year 12)

Prerequisites: Nil

Co-requisites: Nil

Eligibility: Nil

Study via self-tuition: No

Exclusions: Nil

It is anticipated that students undertaking Mathematics Advanced or higher courses have already consolidated essential numeracy skills and would not benefit from studying this course.

Course description

The Numeracy course builds on the knowledge, skills and understanding presented in the K–10 curriculum. It supports students to develop the functional numeracy skills required to become active and successful participants in society.

The Numeracy Stage 6 CEC Syllabus is designed to offer opportunities for students to reason numerically and think mathematically. Numerical reasoning and mathematical thinking are supported by an atmosphere of questioning, communicating, reasoning and reflecting and are engendered by opportunities to generalise, challenge, find connections and to think critically and creatively.

The Numeracy course provides opportunities for students to develop 21st-century knowledge, skills, understanding, values and attitudes. As part of this, students are encouraged to learn to use appropriate technology as an effective support for numerical and mathematical activities.

What students learn

The study of Numeracy in Stage 6 enables students to build on existing numeracy skills and to develop and improve their capability to:

  • interpret and use numerical information
  • solve problems using visual, spatial, financial and statistical literacy skills
  • think mathematically in practical situations
  • represent and communicate information
  • use the context to determine the reasonableness of solutions

in order to manage situations and solve problems relating to their present and future needs.

Year 11 course

The Numeracy Year 11 course content comprises 2 modules. The modules are divided into content areas.

Module 1:

  • 1: Whole numbers
  • 2: Operations with whole numbers
  • 3: Distance, area and volume
  • 4: Time
  • 5: Data, graphs and tables

Module 2:

  • 1: Fractions and decimals
  • 2: Operations with fractions and decimals
  • 3: Metric relationships
  • 4: Length, mass and capacity
  • 5: Chance

Year 12 course

The Numeracy Year 12 course content comprises 2 modules. The modules are divided into content areas.

Module 3:

  • 1: Percentages
  • 2: Operations with numbers
  • 3: Finance
  • 4: Location, time and temperature
  • 5: Space and design

Module 4:

  • 1: Rates and ratios
  • 2: Statistics and probability
  • 3: Exploring with NRMT

Industries related to Mathematics CEC

The knowledge and skills developed in this course can be applied across a range of career pathways.

Industries related to this course include, but are not limited to, the following outlined on the Your Career website:

Course requirements

Nil

RoSA and HSC



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