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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.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/vce-summer-school-unit-1-mathematical-methods-section-1-unit-1-course-outline-assessment-2023-2027/315370/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/vce-summer-school-unit-1-mathematical-methods-section-1-unit-1-course-outline-assessment-2023-2027/315370.png","ImageObject",300,407,{"name":92,"@type":93},"River Wang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the three areas of study included in VCE Summer School Unit 1 Mathematical Methods?","Question",{"text":113,"@type":114},"The document covers Functions, Relations & Graphs; Algebra, Number & Structure; and Calculus.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"For which accreditation period is the course outline and assessment provided?",{"text":118,"@type":114},"The course outline and assessment are stated for 2023–2027.",{"name":120,"@type":111,"acceptedAnswer":121},"Does TSFX guarantee the publication is free from errors or omissions?",{"text":122,"@type":114},"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.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},315370,1790040981,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","VCE SUMMER SCHOOLUnit 1 Mathematical Methods  \nArea of Study 1  \nFunctions, Relations & Graphs  \nArea of Study 2  \nAlgebra, Number & Structure  \nArea of Study 3  \nCalculus  \nVCE Accreditation Period2023 – 2027  \nwww.tsfx.edu.au  \nTSFX  \nSuite 101 & 102  \n964 Mt Alexander Rd Essendon, VIC 3040  \nPhone: (03) 9663 3311Email: admin@tsfx.edu.au  \nABN: 70 066 955 128  \n6  \nACKNOWLEDGEMENTS  \nTSFX wishes to thank the Victorian Curriculumand Assessment Authority (VCAA) for permissionto reproduce extracts from their publications.  \nDISCLAIMERS  \nThis publication is not connected with, orendorsed by, the Victorian Curriculum andAssessment Authority (VCAA) .  \nEvery 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.  \nERRATA & CLARIFICATIONS  \nAlthough 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.  \nThe 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.  \nABOUT THE COVER IMAGETHE POWER OF ART  \nEngaging 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.  \nArt 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.  \nThe 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.  \nThe benefits of art are significant and undeniable.Use it to benefit both your mental and physicalhealth as you journey through your VCE.  \nIf 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.  \nCONTENTS  \nSECTION 1: UNIT 1 MATHEMATICAL METHODSCOURSE OUTLINE & ASSESSMENT 2023 - 2027  \n\n| VCE Study Design – Accreditation Period 2023 – 2027   | Page 2   |\n| --- | --- |\n| Assessment   | Page 10   |\n\nSECTION 2: AREA OF STUDY 2  \nALGEBRA, NUMBER & STRUCTURE  \n\n| TOPIC 1: ALGEBRA  \u003Cbr>Topic 1: Algebra   | Page   | 12   |\n| --- | --- | --- |\n| Substitution of Values   | Page   | 12   |\n| Rearrangement and Substitution   | Page   | 14   |\n| Expanding Expressions   | Page   | 18   |\n| The Distributive Law   | Page   | 18   |\n| Expanding Expressions by Rule   | Page   | 20   |\n| Perfect Squares   | Page   | 20   |\n| The Difference of Two Squares (Dots)   | Page   | 22   |\n| Expanding Perfect Cubes by Rule   | Page   | 23   |\n| Techniques In Factorisation   | Page","cbCaipUlxF3HSQV0","https://ap.wps.com/l/cbCaipUlxF3HSQV0","pdf",2456402,36,"English","# SECTION 1: UNIT 1 MATHEMATICAL METHODS\n## COURSE OUTLINE & ASSESSMENT 2023 - 2027\n# SECTION 2: AREA OF STUDY 2 - ALGEBRA, NUMBER & STRUCTURE\n## TOPIC 1: ALGEBRA\n## TOPIC 2: RELATIONS & FUNCTIONS\n## AREA OF STUDY 1 - FUNCTIONS, RELATIONS & GRAPHS\n## The Horizontal Line Test\n## The Vertical Line Test\n## Types of Relations\n## Functions and Inverses\n## Function Notation\n## Open and Closed Intervals\n## Summary of Notations Used to Describe Domains and Ranges\n## The Domain","[{\"question\":\"What are the three areas of study included in VCE Summer School Unit 1 Mathematical Methods?\",\"answer\":\"The document covers Functions, Relations \\u0026 Graphs; Algebra, Number \\u0026 Structure; and Calculus.\"},{\"question\":\"For which accreditation period is the course outline and assessment provided?\",\"answer\":\"The course outline and assessment are stated for 2023–2027.\"},{\"question\":\"Does TSFX guarantee the publication is free from errors or omissions?\",\"answer\":\"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.\"}]","VCE Summer School Unit 1 Mathematical Methods - Section 1 Unit 1 - Course Outline & Assessment 2023 - 2027 | PDF",1789904610,91]