Year 12 VCE Specialist Maths

In Year 12, through Realus's unique O2O teaching model, we employ the "Three-stage Learning Method" to systematically review all key concepts, strengthen students' comprehensive application skills, and enhance their exam techniques.

This ensures that students perform at their best in the final VCE exams, maximising their potential.

Year 12 VCE Specialist Maths

Teaching Highlights

Year 12 VCE Specialist Maths

Philosophy

Realus Education’s teaching philosophy centres on systematic instruction and the continuous improvement of student performance. Drawing on years of teaching and curriculum expertise, our academic team has built a clear, comprehensive and progressive learning framework based on two core principles: “Advanced Learning” and our “Three-stage Learning Method”.

Throughout the learning journey, we help students improve efficiency through a deeper understanding of knowledge structures, while strengthening subject mastery and mathematical thinking through practice, application and reflection. We also emphasise independent thinking, critical thinking and the ability to apply knowledge to real-world problems, so students can build confidence and achieve stronger outcomes.

Through carefully planned instruction and sustained training, students develop a solid command of core knowledge, strengthen problem solving skills and build a strong foundation for more advanced study.

Year 12 VCE Specialist Maths

Goal

From Years 7 to 10, we focus not only on supporting students’ academic growth, but also on developing their independent thinking, creativity and lifelong learning mindset, building a strong foundation for more advanced study.

Guided by our Advanced Learning approach, students in Years 9 and 10 are gradually introduced to key concepts from higher-level study. This helps them adapt early to greater academic expectations and gain a broader understanding of the senior secondary learning pathway. In Year 11, our courses further strengthen this progression by connecting students with the essential knowledge and skills needed for their final years of study.

In Year 12, we implement our Three-stage Learning Method to consolidate core knowledge, strengthen application skills and achieve comprehensive improvement. Combined with targeted exam strategy guidance, this approach helps students enhance subject capability, overall application skills and exam performance, so they can perform at their best and maximise their potential.

Year 12 VCE Specialist Maths

REALUS O2O (Offline-to-Online) Teaching Model

Learn: Systematic curriculum structure.

Practice: In-class practice combined with homework for reinforcement.

Test: Periodic tests to identify gaps and reinforce learning thoroughly.

Evaluate: Learning report feedback, connecting school and home.

Assist: Detailed homework analysis and an educational consultation platform.

Characteristics

  • Rigorous and Engaging Teaching Materials
  • Quality Classroom
  • Scientifically Effective Practice Model
  • Professional and Dedicated Teaching Service Team

Rigorous and Engaging Teaching Materials

The REALUS teaching and research team has developed scientific, rigorous, and engaging teaching materials.

The curriculum is designed with spiral knowledge arrangements, comprehensive course layouts, and progressive exercises, providing students with a complete and systematic learning experience.

  • Characteristics

  • Rigorous and Engaging Teaching Materials Right Arrow
  • Quality Classroom Right Arrow
  • Scientifically Effective Practice Model Right Arrow
  • Professional and Dedicated Teaching Service Team Right Arrow

Year 12 VCE Specialist Maths Course Details

Learning Targets and Stage Capability

  • Term 1

    terms
  • Term 2

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  • Term 3

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  • Term 4

    terms

Learning Targets and Stage Capability

  • Term 1

    terms
  • Term 2

    terms
  • Term 3

    terms
  • Term 4

    terms
  • Term 1 (First Round Revision)
  • Term 2 (First Round Revision)
  • Term 3 (Second Round Revision)
  • Term 4 (Third Round Revision)

Term 1 (First Round Revision)

Lesson 1: Logic and Proof Part I

Lesson 2: Logic and Proof Part II

Lesson 3: Rational Functions and Graphs Part I

Lesson 4: Rational Functions and Graphs Part II

Lesson 5: Circular Functions and Graphs Part I

Lesson 6: Circular Functions and Graphs Part II

Lesson 7: Circular Functions and Graphs Part III

Lesson 8: Coordinate Geometry and Parametric Equations

Lesson 9: Vectors Part I

Lesson 10: Vectors Part II

Lesson 11: Vectors Part III

Lesson 12: Complex Numbers Part I

*End-of-Term Exam

*SAC Preparation Workshop

  • Course Structure

  • Term 1 (First Round Revision) Right Arrow
  • Term 2 (First Round Revision) Right Arrow
  • Term 3 (Second Round Revision) Right Arrow
  • Term 4 (Third Round Revision) Right Arrow

Year 12 VCE Specialist Maths

Course Details

Learning Targets and Stage Capability

Term 1

Achieved

Goals to be Achieved

  • Understand and master methods of logic and proof in discrete mathematics, including direct proof, contrapositive proof, proof by contradiction, etc.
  • Become familiar with and able to apply the concepts of functions, relations, and graphs, especially rational functions, circular functions, and their graphs.
  • Master the basics of vectors and their applications in geometry.
  • Understand the basic concepts and operations of complex numbers.
Reached

Competencies to be Reached

  • Perform various types of mathematical proofs and understand the relationships between logical propositions.
  • Draw and analyse the graphs of rational functions and circular functions, and master related symmetry properties and trigonometric identities.
  • Use vector knowledge to solve geometric problems, including vector representation, dot product, and cross product.
  • Use complex numbers to solve algebraic problems and represent them geometrically.

Course Structure

Term 1 (First Round Revision)

Lesson 1: Logic and Proof Part I

Lesson 2: Logic and Proof Part II

Lesson 3: Rational Functions and Graphs Part I

Lesson 4: Rational Functions and Graphs Part II

Lesson 5: Circular Functions and Graphs Part I

Lesson 6: Circular Functions and Graphs Part II

Lesson 7: Circular Functions and Graphs Part III

Lesson 8: Coordinate Geometry and Parametric Equations

Lesson 9: Vectors Part I

Lesson 10: Vectors Part II

Lesson 11: Vectors Part III

Lesson 12: Complex Numbers Part I

*End-of-Term Exam

*SAC Preparation Workshop

Meet Our Top Faculty Experienced, Skilled, and Charismatic

  • Nick Zhang
    Nick Zhang Founder and CEO of First Education & Technology Group
  • Henry Han
    Henry Han Partner and Chief Content Officer (CCO) of First Education & Technology Group
  • Yishuai Jiang
    Yishuai Jiang Partner and Chief Training Officer (CTO) of First Education & Technology Group
  • Jerry Zhong
    Jerry Zhong Lecturer at First Education & Technology Group
  • Jimmy Nie
    Jimmy Nie Lecturer at First Education & Technology Group
  • Joe Chen
    Joe Chen Lecturer at First Education & Technology Group
  • Kaylee Jin
    Kaylee Jin Lecturer at First Education & Technology Group
  • Belinda Ai
    Belinda Ai Lecturer at First Education & Technology Group
  • James Liu
    James Liu Lecturer at First Education & Technology Group
  • Yichen Jiang
    Yichen Jiang Lecturer at First Education & Technology Group
  • Chuyao Liu
    Chuyao Liu Lecturer at First Education & Technology Group
  • Ronson Sun
    Ronson Sun Lecturer at First Education & Technology Group
  • Elyssa Zhang
    Elyssa Zhang Lecturer at First Education & Technology Group
  • William Cheung
    William Cheung Lecturer at First Education & Technology Group
  • Russell Chen
    Russell Chen Lecturer at First Education & Technology Group
  • Vivian Yang
    Vivian Yang Lecturer at First Education & Technology Group
  • Angel Sun
    Angel Sun Lecturer at First Education & Technology Group
  • Stacie Yu
    Stacie Yu Lecturer at First Education & Technology Group
  • Simon Lai
    Simon Lai Lecturer at First Education & Technology Group
  • Kaelyn Wang
    Kaelyn Wang Lecturer at First Education & Technology Group
  • Jayna Wang
    Jayna Wang Lecturer at First Education & Technology Group
  • Chanel Chen
    Chanel Chen Lecturer at First Education & Technology Group
  • Cate Harvey
    Cate Harvey Lecturer at First Education & Technology Group
  • Eric Tang
    Eric Tang Lecturer at First Education & Technology Group
  • Jennifer Jin
    Jennifer Jin Lecturer at First Education & Technology Group
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Meet Our Top Faculty Experienced, Skilled, and Charismatic

8 Core Advantages

for an Exceptional Learning Experience

Top-notch Faculty

Top-notch Faculty

Our faculty comprises outstanding teachers who are graduates from world-class universities. They design rigorous and engaging courses, continually optimising content based on advanced international curricula and exam trends.

Technology-Enhanced Learning

Technology-Enhanced Learning

We strive to innovate beyond the limitations of traditional education through our MarsLadder platform, offering comprehensive, interactive, and personalised learning experiences.

Unique Teaching Methods

Unique Teaching Methods

Realus's O2O (offline-to-online) model effectively addresses issues of passive learning and delayed feedback for teachers and parents, creating an efficient learning loop that supports students' growth in an enjoyable and effective manner.

Live and Intelligent Learning

Live and Intelligent Learning

We offer synchronised live teaching both online and offline, with class recordings available for three months for repeated study. Post-class, our intelligent learning software supports learning, practice, and assessment.

Year 12 VCE Specialist Maths Pricing
Offline Courses/Live Streaming Courses
40 lessons/year
$108 /2-hour lesson
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Experienced VCE Maths teachers

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'Three-stage Learning Method'

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Scientific and rigorous teaching materials

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Closely aligned with the Victorian curriculum

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Access to MarsLadder resources

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Complementary tests and assignments

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Advanced class model (small/large class)

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Technology-enabled teaching

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One-on-one learning tracking service

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Learning report feedback

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Comfortable learning environment

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