Toán Math 12

Board Developed Courses

Mathematics Standard 1

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Board Developed Course

Course number(s):

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

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

Corequisites: Nil

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

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 và 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:

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

Topic: Algebra

Topic: Measurement

Topic: Financial Mathematics

Topic: Statistical Analysis

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

Topic: Algebra

Topic: Measurement

Topic: Financial Mathematics

Topic: Statistical Analysis

Topic: Networks

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 khổng lồ study either the Mathematics Standard 1 Year 12 course (Category B) or the Mathematics Standard 2 Year 12 course (Category A).

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 lớn undertake an optional HSC examination.

To be eligible for an ATAR, students studying the Mathematics Standard 1 course must undertake a pattern of study khổng lồ 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 lớn enhance their numeracy skills & capabilities. The content of the course aligns with màn chơi 3 of the Australian bộ vi xử lý core Skills Framework.

Mathematics Standard 2

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Board Developed Course

Course number(s):

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

Corequisites: Nil

Eligibility:Nil

Study via self-tuition: Yes

Exclusions:

Students who have followed the Mathematics Standard

Course description

Mathematics Standard students use mathematics khổng lồ make informed decisions in their daily lives. Students develop understanding & 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 & employment aspirations, including continuing their studies at a tertiary level.

What students learn

The study of Mathematics Standard 2 in Stage 6:

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

Topic: Algebra

Topic: Measurement

Topic: Financial Mathematics

Topic: Statistical Analysis

The Mathematics Standard 2 Year 12 course nội dung includes the same four Topics và the additional Topic ‘Networks’.

Topic: Algebra

Topic: Measurement

Topic: Financial Mathematics

Topic: Statistical Analysis

Topic: Networks

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 lớn study either the Mathematics Standard 1 Year 12 course (Category B) or the Mathematics Standard 2 Year 12 course (Category A).

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 lớn enhance their numeracy skills và capabilities. The nội dung of the course aligns with cấp độ 3 of the Australian bộ vi xử lý core Skills Framework.

Mathematics Advanced

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Board Developed Course

Course number(s):

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

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

Corequisites: Nil

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

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 lớn investigate order, relation, pattern, uncertainty & generality. The course provides students with the opportunity to lớn 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:

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

Topic: Functions

Topic: Trigonometric Functions

Topic: Calculus

Topic: Exponential & Logarithmic Functions

Topic: Statistical Analysis

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

Topic: Functions

Topic: Trigonometric Functions

Topic: Calculus

Topic: Financial Mathematics

Topic: Statistical Analysis

Course requirements

Nil

RoSA & HSC

Mathematics Extension 1

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Board Developed Course

Course number(s):

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 nội dung and outcomes of all substrands of Stage 5.1, Stage 5.2 & Stage 5.3, including the optional substrands:

Corequisites:

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

Course description

Mathematics Extension 1 is focused on enabling students to lớn develop a thorough understanding of và competence in further aspects of mathematics. The course provides opportunities khổng lồ develop rigorous mathematical arguments and proofs, và 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, & 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:

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

Topic: Functions

Topic: Trigonometric Functions

Topic: Calculus

Topic: Combinatorics

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

Topic: Proof

Topic: Vectors

Topic: Trigonometric Functions

Topic: Calculus

Topic: Statistical Analysis

Course requirements

Nil

RoSA and HSC

Mathematics Extension 2

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Board Developed Course

Course number(s):

Prerequisites: The Mathematics Extension 2 Year 12 course has been developed on the assumption that students have studied the nội dung and achieved the outcomes of the Mathematics Advanced Year 11 course & 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 và the Mathematics Extension 1 Year 12 course.

Corequisites:

Eligibility: Nil

Study via self-tuition: Yes

Exclusions:

Course description

Mathematics Extension 2 provides students with the opportunity to lớn develop strong mathematical manipulative skills & a deep understanding of the fundamental ideas of algebra và calculus, as well as an appreciation of mathematics as an activity with its own intrinsic value, involving invention, intuition & exploration. Mathematics Extension 2 extends students’ conceptual knowledge & 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 & the Mathematics Advanced Year 12 course.

The Mathematics Advanced, Mathematics Extension 1 & 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:

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

Topic: Proof

Topic: Vectors

Topic: Complex Numbers

Topic: Calculus

Topic: Mechanics

Course requirements

Nil

RoSA & HSC

Board Developed Life Skills Courses

Mathematics Life Skills

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Board Developed Course

Course number(s):

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:

Course description

The Mathematics Life Skills Stage 6 course aligns with the rationale, aim và objectives of the Mathematics Standard Stage 6 course. The Life Skills nội dung 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 & encourage their participation in post-school contexts.

Students are provided with opportunities to apply mathematical operations to lớn practical situations và develop problem-solving in real-life situations. They develop their practical skills in measurement, calculating with money, statistics & using plans và maps. Students also have the opportunity lớn explore the concepts of earning và spending money & 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 & employment.

What students learn

The structure of the Mathematics Life Skills Stage 6 course allows teachers lớn provide a broad & 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)

Topic: Measurement

Topic: Financial Mathematics

Topic: Statistics and Probability (Statistical analysis)

Topic: Plans, Maps & Networks (Networks)

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

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 khổng lồ address or achieve one or more of the Mathematics Life Skills Stage 6 outcomes. They need not address or complete all of the nội dung to demonstrate achievement of an outcome.

RoSA and HSC

Content Endorsed Courses

Numeracy

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Content Endorsed Course

Course number(s):

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 và would not benefit from studying this course.

Course description

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

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

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

What students learn

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

in order khổng lồ manage situations and solve problems relating khổng lồ their present & future needs.

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

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Module 1:

Module 2:

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

Module 3:

Module 4:

Course requirements

Nil