Year 12 VCE Maths Methods

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 Maths Methods

Teaching Highlights

Year 12 VCE Maths Methods

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 Maths Methods

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 Maths Methods

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 Maths Methods Course Details

Learning Targets and Stage Capability

  • Term 1

    terms
  • Term 2

    terms
  • Term 3

    terms
  • 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: Polynomial Functions and Graphs Part I

Lesson 2: Polynomial Functions and Graphs Part II

Lesson 3: Polynomial Functions and Graphs Part III

Lesson 4: Exponential and Logarithmic Functions Part I

Lesson 5: Exponential and Logarithmic Functions Part II

Lesson 6: Functions and Transformations

Lesson 7: Power Functions and Graphs

Lesson 8: Circular Functions and Graphs Part I

Lesson 9: Circular Functions and Graphs Part II

Lesson 10: Differentiation Techniques

Lesson 11: Applications of Differentiation Part I

Lesson 12: Applications of Differentiation Part II

*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 Maths Methods

Course Details

Learning Targets and Stage Capability

Term 1

Achieved

Goals to be Achieved

  • Understand and master polynomial, exponential, logarithmic, and circular functions, including their properties, graphs, and transformations.
  • Develop skills in solving equations and inequalities involving these functions.
  • Gain proficiency in differentiation techniques and their applications.
Reached

Competencies to be Reached

  • Define and distinguish between functions and relations.
  • Determine the domain and range of various functions.
  • Sketch and analyse graphs of linear, quadratic, cubic, quartic, and higher-degree polynomial functions.
  • Apply the Remainder and Factor Theorem to polynomial division.
  • Understand and graph exponential and logarithmic functions, applying logarithmic laws.
  • Perform and describe transformations of functions, including dilation, reflection, translation, and combinations thereof.
  • Sketch graphs of power and circular functions, solving related trigonometric equations.
  • Differentiate functions using first principles, power rule, chain rule, product rule, and quotient rule.
  • Apply differentiation to find equations of tangents and normals.
  • Identify and analyse stationary points, including maximum, minimum, and inflection points.
  • Solve problems involving Newton's Method and second derivatives.

Course Structure

Term 1 (First Round Revision)

Lesson 1: Polynomial Functions and Graphs Part I

Lesson 2: Polynomial Functions and Graphs Part II

Lesson 3: Polynomial Functions and Graphs Part III

Lesson 4: Exponential and Logarithmic Functions Part I

Lesson 5: Exponential and Logarithmic Functions Part II

Lesson 6: Functions and Transformations

Lesson 7: Power Functions and Graphs

Lesson 8: Circular Functions and Graphs Part I

Lesson 9: Circular Functions and Graphs Part II

Lesson 10: Differentiation Techniques

Lesson 11: Applications of Differentiation Part I

Lesson 12: Applications of Differentiation Part II

*End-of-Term Exam

*SAC Preparation Workshop

Meet Our Top Faculty Experienced, Skilled, and Charismatic

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    Nick Zhang Founder and CEO of First Education & Technology Group
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    Yishuai Jiang Partner and Chief Training Officer (CTO) of First Education & Technology Group
  • Jerry Zhong
    Jerry Zhong Lecturer at First Education & Technology Group
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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 Maths Methods 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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