VCE Summer School Unit 1 Mathematical Methods - Section 1 Unit 1 - Course Outline & Assessment 2023 - 2027

Sep 20, 2026

A curriculum guide for VCE Summer School Unit 1 Mathematical Methods covering Functions, Relations & Graphs, Algebra, Number & Structure, and Calculus. It defines course structure and assessment for the accreditation period 2023–2027, and outlines key learning topics such as algebraic substitution and expansion, factorisation techniques, number systems, division methods, remainder and factor theorems, and equation solving using formulas and discriminants. Includes acknowledgements, errata and clarification disclaimers, plus guidance about accuracy and responsibility.

LanguageEnglish

CategoryExam

FormatPDF

Pages36

Reading Time1 h 31 min

AccessFree to download

SECTION 1: UNIT 1 MATHEMATICAL METHODS

COURSE OUTLINE & ASSESSMENT 2023 - 2027

SECTION 2: AREA OF STUDY 2 - ALGEBRA, NUMBER & STRUCTURE

TOPIC 1: ALGEBRA

TOPIC 2: RELATIONS & FUNCTIONS

AREA OF STUDY 1 - FUNCTIONS, RELATIONS & GRAPHS

The Horizontal Line Test

The Vertical Line Test

Types of Relations

Functions and Inverses

Function Notation

Open and Closed Intervals

Summary of Notations Used to Describe Domains and Ranges

The Domain

VCE SUMMER SCHOOLUnit 1 Mathematical Methods Area of Study 1 Functions, Relations & Graphs Area of Study 2 Algebra, Number & Structure Area of Study 3 Calculus VCE Accreditation Period2023 – 2027 www.tsfx.edu.au TSFX Suite 101 & 102 964 Mt Alexander Rd Essendon, VIC 3040 Phone: (03) 9663 3311Email: admin@tsfx.edu.au ABN: 70 066 955 128 6 ACKNOWLEDGEMENTS TSFX wishes to thank the Victorian Curriculumand Assessment Authority (VCAA) for permissionto reproduce extracts from their publications. DISCLAIMERS This publication is not connected with, orendorsed by, the Victorian Curriculum andAssessment Authority (VCAA) . Every effort has been made to ensure that theinformation and questions in this book reflect theintended depth and complexity of the keyknowledge outlined in the current study design forthis subject. ERRATA & CLARIFICATIONS Although the information in this book has beenpresented with all due care, TSFX does notwarrant or represent that this publication is freefrom errors or omission, or that it is exhaustive. The published information is provided on an "asis" basis with no guarantees of completeness,relevancy, accuracy or usefulness. Readers areresponsible for making their own assessment ofthe printed material and should independentlyverify the accuracy, validity, relevance andcompleteness of the information. TSFX assumesno responsibility or liability for any loss, damage,cost or expense you might incur as a result of anyerrors, inaccuracies or omissions in thispublication, or for the results obtained from theuse of this resource. ABOUT THE COVER IMAGETHE POWER OF ART Engaging with art is essential to the humanexperience. Almost as soon as motor skills aredeveloped, children communicate through artisticexpression. Throughout each stage of our lives,art plays different and important roles. The artshave the power to bring joy, stir up emotions andinfluence our behaviour. Art crosses all divides. Itbreaks down cultural, social and economicbarriers and plays a big role in how humans seeand interact with others, and the world in general. Art decreases stress levels and improves mentalhealth and well-being, particularly in patientssuffering chronic or terminal illness. It has thepower to educate people and convey meaning ina way that can be appreciated by every person.Furthermore, it gives us the opportunity to travelthrough time and learn from the beliefs, dreams,habits, thoughts, culture and lives of people indifferent places and times. The arts also challenge us with different points ofview, encourages communication, promotesstronger critical thinking and problem-solvingskills and unlocks the potential of the humanmind. It is also closely linked to academicachievement, civic engagement and social andemotional development. The benefits of art are significant and undeniable.Use it to benefit both your mental and physicalhealth as you journey through your VCE. If you believe there is an error in this publication, please contact us as soon as possible(admin@tsfx.edu.au or 966 333 11) . Amendments, errata, revisions, clarifications andfurther discussions will be published on our website at www.tsfx.edu.au/errata. CONTENTS SECTION 1: UNIT 1 MATHEMATICAL METHODSCOURSE OUTLINE & ASSESSMENT 2023 - 2027 | VCE Study Design – Accreditation Period 2023 – 2027 | Page 2 | | --- | --- | | Assessment | Page 10 | SECTION 2: AREA OF STUDY 2 ALGEBRA, NUMBER & STRUCTURE | TOPIC 1: ALGEBRA
Topic 1: Algebra | Page | 12 | | --- | --- | --- | | Substitution of Values | Page | 12 | | Rearrangement and Substitution | Page | 14 | | Expanding Expressions | Page | 18 | | The Distributive Law | Page | 18 | | Expanding Expressions by Rule | Page | 20 | | Perfect Squares | Page | 20 | | The Difference of Two Squares (Dots) | Page | 22 | | Expanding Perfect Cubes by Rule | Page | 23 | | Techniques In Factorisation | Page

FAQs

What are the three areas of study included in VCE Summer School Unit 1 Mathematical Methods?

The document covers Functions, Relations & Graphs; Algebra, Number & Structure; and Calculus.

For which accreditation period is the course outline and assessment provided?

The course outline and assessment are stated for 2023–2027.

Does TSFX guarantee the publication is free from errors or omissions?

No. The document states that TSFX does not warrant or represent that it is free from errors or omission and that readers are responsible for verifying accuracy.

Sep 20, 2026

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