Year 11 HSC Maths Extension 1 Tutoring

Through Realus' unique O2O teaching model, this course combines efficient classroom teaching with personalised online learning support to help students systematically master the core knowledge framework of chemistry while strengthening their ability to apply knowledge and develop scientific analytical thinking. Guided by our Advanced Learning approach, the program gradually introduces key content from the next stage of study, helping students build a solid subject foundation and stronger reasoning skills, and laying a strong foundation for later HSC Mathematics preparation.

Year 11 HSC Maths Extension 1 Tutoring

Teaching Highlights

Year 11 HSC Maths Extension 1 Tutoring

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 11 HSC Maths Extension 1 Tutoring

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 11 HSC Maths Extension 1 Tutoring

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 11 HSC Maths Extension 1 Tutoring Course Details

Learning Targets and Stage Capability

  • Term 1

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  • Term 2

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  • Term 3

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  • Term 4

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Learning Targets and Stage Capability

  • Term 1

    terms
  • Term 2

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  • Term 3

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  • Term 4

    terms
  • Term 1
  • Term 2
  • Term 3
  • Term 4

Term 1

Lesson 1: Functions and Graphs Part I

Lesson 2: Functions and Graphs Part II

Lesson 3: Inverse Functions and Graphs

Lesson 4: Inverse Trigonometric Functions

Lesson 5: Parametric Form of Functions and Relations

Lesson 6: Inequalities

Lesson 7: Polynomials Part I

Lesson 8: Polynomials Part II

Lesson 9: Relations, Functions and Graphs Revision

  • Course Structure

  • Term 1 Right Arrow
  • Term 2 Right Arrow
  • Term 3 Right Arrow
  • Term 4 Right Arrow

Year 11 HSC Maths Extension 1

Course Details

Learning Targets and Stage Capability

Term 1

Achieved

Goals to be Achieved

  • Master Complex Function Transformations: Deepen understanding of reciprocal, modulus, and composite functions, including their graphical representations and asymptotic behaviour.
  • Establish Inverse and Parametric Reasoning: Determine the existence, domain, and range of inverse functions and perform conversions between parametric and Cartesian forms.
  • Advanced Polynomial Mastery: Understand the structural properties of polynomials, including the Remainder and Factor theorems and the relationships between roots and coefficients (Vieta’s Formulas).
Reached

Competencies to be Reached

  • Graphical Analysis: Ability to identify key features of non-standard graphs (intercepts, turning points, and points of inflection) through algebraic manipulation.
  • Algebraic Rigor in Inequalities: Proficiency in solving cubic, rational, and absolute value inequalities using logical sign testing or graphical methods.
  • Multi-degree Polynomial Problem Solving: Skilled in applying Vieta’s formulas to solve complex problems involving the sum and product of roots for quadratic, cubic, and quartic equations.

Course Structure

Term 1

Lesson 1: Functions and Graphs Part I

Lesson 2: Functions and Graphs Part II

Lesson 3: Inverse Functions and Graphs

Lesson 4: Inverse Trigonometric Functions

Lesson 5: Parametric Form of Functions and Relations

Lesson 6: Inequalities

Lesson 7: Polynomials Part I

Lesson 8: Polynomials Part II

Lesson 9: Relations, Functions and Graphs Revision

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
  • William Cheung
    William Cheung 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
  • 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
View All Teachers

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 11 HSC Maths Extension 1 Pricing
Offline Courses/Live Streaming Courses
42 lessons/year
$108 /2-hour lesson
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Experienced HSC Maths teachers

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'3-Step Cycle' teaching model

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Scientific and rigorous teaching materials

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Closely aligned with the New South Wales 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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