{"id":3410,"date":"2026-04-12T17:02:14","date_gmt":"2026-04-12T07:02:14","guid":{"rendered":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/academic-guide-years-11-12\/mathematics-extension-1\/"},"modified":"2026-05-01T11:47:12","modified_gmt":"2026-05-01T01:47:12","slug":"mathematics-extension-1","status":"publish","type":"page","link":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/academic-guide-years-11-12\/hsc\/hsc-subjects\/mathematics-extension-1\/","title":{"rendered":"Mathematics Extension 1"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><!-- section: section_text --><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Course Description<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The Mathematics Extension 1 course is a calculus-based course focused on further study of Mathematics, as such the Year 11 course includes the Mathematics Advanced Year 11 course. In addition, the Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">All students studying the Mathematics Extension 1 course will sit for an HSC examination in both Advanced and Extension 1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The study of Mathematics Extension 1 in Stage 6 enables students to develop thorough knowledge, understanding and skills in working mathematically and in communicating concisely and precisely. It provides opportunities for students to develop rigorous mathematical arguments and proofs, and to use mathematical models extensively. It provides opportunities for students to develop their awareness of the interconnected nature of mathematics, its beauty and its functionality.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It provides a basis for progression to further study in mathematics or related disciplines where mathematics plays a vital role. It provides an appropriate mathematical background for students whose future pathways may involve mathematics and its applications in such areas as science, engineering, finance and economics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Prerequisites<\/strong>:\u202f The Mathematics Extension 1 Year 11 course has been developed on the assumption that students have studied the content and successfully achieved the outcomes of the paths content in Pathway A and Pathway X in Year 10, this may include the optional sub\u2013strands:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00b7 Polynomials<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00b7 Logarithms<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00b7 Functions and Other Graphs<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00b7 Circle Geometry<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Content<\/strong>:\u202f The Mathematics Extension 1 Year 11 course content is comprised of four Topics, with the Topics divided into Subtopics. The Mathematics Extension 1 Year 12 course content includes the Topics Trigonometric Functions and Calculus continued from Year 11 and introduces three different Topics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The Topics and Subtopics (in brackets) are:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Year 11<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>&nbsp;Topic<\/strong>: Functions (Further Work with Functions and Polynomials)<\/li>\n\n\n\n<li><strong>&nbsp;Topic<\/strong>: Trigonometric Functions (Inverse Trigonometric Functions and Further Trigonometric Identities)<\/li>\n\n\n\n<li><strong>&nbsp;Topic<\/strong>: Calculus (Rates of Change)<\/li>\n\n\n\n<li><strong>&nbsp;Topic<\/strong>: Combinatorics (Working with Combinatorics)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Year 12<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&nbsp;<strong>Topic<\/strong>: Proof (Proof by Mathematical\u202fInduction)<\/li>\n\n\n\n<li>&nbsp;<strong>Topic<\/strong>: Vectors (Introductions to Vectors)<\/li>\n\n\n\n<li>&nbsp;<strong>Topic<\/strong>: Trigonometric Functions and Trigonometric Equations)<\/li>\n\n\n\n<li>&nbsp;<strong>Topic<\/strong>: Calculus (Further Calculus Skills and Applications of Calculus)<\/li>\n\n\n\n<li>&nbsp;<strong>Topic<\/strong>: Statistical Analysis (The Binomial Distribution<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><!-- section: section_text --><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Assessment<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><span data-contrast=\"auto\">The Year 11&nbsp;<\/span><span data-contrast=\"auto\">formal&nbsp;<\/span><span data-contrast=\"auto\">school-based assessment program&nbsp;<\/span><span data-contrast=\"auto\">will consist of <\/span><span data-contrast=\"auto\">three assessment tasks:<\/span><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Two<span data-contrast=\"auto\"> in-class tests\u00a0<\/span><\/li>\n\n\n\n<li><span data-contrast=\"auto\">A formal end of course examination<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true}\">&nbsp;<\/span><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><span data-contrast=\"auto\">A similar series of assessments will be followed in the Year 12 course.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true}\">&nbsp;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Course Description The Mathematics Extension 1 course is a calculus-based course focused on further study of Mathematics, as such the Year 11 course includes the Mathematics Advanced Year 11 course. In addition, the Mathematics Extension 1 Year 12 course includes the Mathematics Advanced Year 12 course. All students studying the Mathematics Extension 1 course will [&hellip;]<\/p>\n","protected":false},"author":15,"featured_media":0,"parent":3402,"menu_order":6,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-3410","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/pages\/3410","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/comments?post=3410"}],"version-history":[{"count":4,"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/pages\/3410\/revisions"}],"predecessor-version":[{"id":4029,"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/pages\/3410\/revisions\/4029"}],"up":[{"embeddable":true,"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/pages\/3402"}],"wp:attachment":[{"href":"https:\/\/www.newington.nsw.edu.au\/academic-guides\/wp-json\/wp\/v2\/media?parent=3410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}