[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-344221-105":59,"doc-detail-344221-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","mathematics-analysis-and-approaches-hl-study-guide","Mathematics Analysis and Approaches HL - Study Guide","","Mathematics Analysis and Approaches HL Study Guide for IB students provides structured revision material, combining step-by-step explanations with IB-style questions. It supports learners and teachers by compiling relevant topics from prior Math Studies SL and HL resources, explaining theoretical concepts clearly, and offering practical guidance for problem-solving. The guide also includes instructions for using the TI-Nspire™ and suggests studying with a partner or group to test understanding and improve exam responses.",{"@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/mathematics-analysis-and-approaches-hl-study-guide/344221/",{"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/mathematics-analysis-and-approaches-hl-study-guide/344221.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-22",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the purpose of the IB Academy Study Guide for Mathematics Analysis and Approaches HL?","Question",{"text":113,"@type":114},"It compiles revision material that is easy to follow for IB students and teachers, using a step-by-step approach to help learners absorb dense information and answer exam questions efficiently.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the guide teach topics like sequences, logarithms, and binomial expansion?",{"text":118,"@type":114},"It supplements topics with relevant sections from previous study resources and illustrates theory by working through IB-style questions, breaking concepts down step by step.",{"name":120,"@type":111,"acceptedAnswer":121},"Which calculator is recommended in the guide?",{"text":122,"@type":114},"The guide includes detailed instructions on how to use the TI-Nspire™ to solve problems, and notes that much of it is transferable to other graphing calculators (GDC models).","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},344221,1790380428,{"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},962075114101,"https://ap-avatar.wpscdn.com/avatar/e000253a75eb197efd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780044092746381165","S T U DY G U I D E  \nM A T H A A  HL   \n[ib-academy.nl](ib-academy.nl)  \nMathematics Analysis and Approaches HL  \nStudy Guide  \n[Available on www.ib-academy.nl](Available on www.ib-academy.nl)  \nAuthor: Nikita Smolnikov, Alex Barancova  \nContributing Authors: Laurence Gibbons  \nDesign Typesetting  \n[L](LATEX.guru)[A](LATEX.guru)[TEX.guru](LATEX.guru)  \nSpecial thanks: Robert van den Heuvel  \nThis work may be shared digitally and in printed form, but it may not be changed and then redistributed in any form.  \nCopyright © 2023, IB Academy Version: MathAAHL.1.1.220620  \nThis work is published under the  \nCreative Commons BY-NC-ND 4 .0 International License. To view a copy of this license, visit [creativecommons.org](creativecommons.org/licenses/by-nc-nd/4.0)[/](creativecommons.org/licenses/by-nc-nd/4.0)[licenses](creativecommons.org/licenses/by-nc-nd/4.0)[/](creativecommons.org/licenses/by-nc-nd/4.0)[by-nc-nd](creativecommons.org/licenses/by-nc-nd/4.0)[/](creativecommons.org/licenses/by-nc-nd/4.0)[4.0](creativecommons.org/licenses/by-nc-nd/4.0)  \nThis work may not used for commercial purposes other than by IB Academy, or parties directly licenced by IB Academy. If you acquired this guide by paying for it, or if you have received this guide as part of a paid service or product, directly or indirectly, we kindly ask that you contact us immediately.  \nDaltonlaan 400 3584 BK Utrecht The Netherlands  \n[www.ib-academy.nl](www.ib-academy.nl)[ ](www.ib-academy.nl)[contact@ib-academy.nl](contact@ib-academy.nl)[ ](contact@ib-academy.nl)+31 (0) 30 4300 430  \nWelcome to the IB Academy guide for Mathematics Analysis and Approaches HL.  \nOur Study Guides are put together by our teachers who worked tirelessly with students and schools. The idea is to compile revision material that would be easy-to-follow for IB students worldwide and for school teachers to utilise them for their classrooms. Our approach is straightforward: by adopting a step-by-step perspective, students can easily absorb dense information in a quick and efficient manner. With this format, students will be able to tackle every question swiftly and without any difficulties.  \nFor this guide, we supplement the new topics with relevant sections from our previous Math Studies, SL and HL study resources, and with insights from our years of experience teaching these courses. We illustrate theoretical concepts by working through IB-style questions and break things down using a step-by-step approach. We also include detailed instructions on how to use the TI-Nspire™ to solve problems; most of this is also quite easily transferable to other GDC models.  \nThe best way to apply what you have learned from the guides is with a study partner. We suggest revising with a friend or with a group in order to immediately test the information you gathered from our guides. This will help you not only process the information, but also help you formulate your answers for the exams. Practice makes better and what better way to do it than with your friends!  \nIn order to maintain our Study Guides and to put forth the best possible material, we are in constant collaboration with students and teachers alike. To help us, we ask that you provide feedback and suggestions so that we can modify the contents to be relevant for IB studies. We appreciate any comments and hope that our Study Guides will help you with your revision or in your lessons. For more information on our material or courses, be sure to check our site [at www.ib-academy.nl](at www.ib-academy.nl).  \nIB Academy Team  \nIf you would like to consider supporting our materials and be recognised for it, send us an email [to contact@ib-academy.nl](to contact@ib-academy.nl).  \nALGEBRA 1  \nTable of contents & cheatsheet  \n| 1.1. Sequences 6\u003Cbr>Arithmetic: +/− common difference\u003Cbr>un = nth term = u1 + (n − 1)d\u003Cbr>n\u003Cbr>Sn = sum of n terms = 2 􀀀2u1 + (n − 1)d 􀀁 with u1 = a = 1st term, d = common difference.\u003Cbr>Geometric: ×/÷ common ratio un = nth term = u","cbCaialdXTKCCOmG","https://ap.wps.com/l/cbCaialdXTKCCOmG","pdf",2245775,140,"English","# Algebra 1\n## 1.1 Sequences\n## 1.2 Exponents and logarithms\n## 1.3 Binomial Expansion","[{\"question\":\"What is the purpose of the IB Academy Study Guide for Mathematics Analysis and Approaches HL?\",\"answer\":\"It compiles revision material that is easy to follow for IB students and teachers, using a step-by-step approach to help learners absorb dense information and answer exam questions efficiently.\"},{\"question\":\"How does the guide teach topics like sequences, logarithms, and binomial expansion?\",\"answer\":\"It supplements topics with relevant sections from previous study resources and illustrates theory by working through IB-style questions, breaking concepts down step by step.\"},{\"question\":\"Which calculator is recommended in the guide?\",\"answer\":\"The guide includes detailed instructions on how to use the TI-Nspire™ to solve problems, and notes that much of it is transferable to other graphing calculators (GDC models).\"}]","Mathematics Analysis and Approaches HL - Study Guide | PDF",1790053245,353]