[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-619205-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-619205-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","key-concepts-in-gcse-mathematics-aqa-mathsconf32","Key concepts in GCSE Mathematics - AQA MathsConf32","","This presentation outlines key conceptions that students should master in KS3 mathematics to ensure success in GCSE study. It contrasts conceptions with misconceptions, and explains why core concepts underpin later topics and future achievement. The content discusses defining and identifying key concepts, selecting effective methods, and helping learners access GCSE questions. It also explores how to bring concepts together through structured links, including examples such as compound shapes, polygons, number relationships, commutativity, and linear equation steps.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/key-concepts-in-gcse-mathematics-aqa-mathsconf32/619205/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/key-concepts-in-gcse-mathematics-aqa-mathsconf32/619205.png","ImageObject",300,407,{"name":42,"@type":43},"Lucas Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-10-30","2026-10-20",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What are key concepts in KS3 maths meant to achieve for GCSE success?","Question",{"text":62,"@type":63},"They have the greatest impact on future success and underpin other concepts and ideas, ideally supporting students by the end of KS3.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How does the presentation distinguish conceptions from misconceptions?",{"text":67,"@type":63},"It frames conceptual understanding as different from performing methods, and emphasizes that knowing key conceptions helps focus on preventing key misconceptions.",{"name":69,"@type":60,"acceptedAnswer":70},"How should teaching and learning connect key concepts across KS3?",{"text":71,"@type":63},"It suggests joining concepts in a structured way that reveals the “threads” running through maths, and teaching these concepts together over KS3.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},619205,1792525293,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":127,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":144,"preview_page_count":4},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Key concepts in GCSE Mathematics\nDavid McEwan\nMathsConf32\n1\nSummer 2023\nCopyright © AQA and its licensors. All rights reserved.\nWelcome\n2\nThose who understand binary\nThose who don’t\nThose who thought this joke was in base 2\nThose who now think it’s in base 4\n3\nThere are 10 types of people in the world\nCopyright © AQA and its licensors. All rights reserved.\nConceptions vs misconceptions\nConceptual understanding vs performing methods\nSelecting and using vs one correct way\nAccessing GCSE questions vs not getting started\n4\nWhy do we need key concepts?\nCopyright © AQA and its licensors. All rights reserved.\nHow to define them?\nThey have the greatest impact on future success.\nThey underpin other concepts and ideas.\nIdeally, you would know them by the end of KS3.\n5\nWhat are the key bits of maths needed for GCSE?\nCopyright © AQA and its licensors. All rights reserved.\nThey have the greatest impact on future success.\nThey underpin other concepts and ideas.\n6\nDiscussion 1: What are key things to know in KS3 maths?\nCopyright © AQA and its licensors. All rights reserved.\nWhat do you think of my list?\n7\nDiscussion 2\nCopyright © AQA and its licensors. All rights reserved.\nFind the area or volume of a compound shape by decomposing into constituent shapes. Find the perimeter of regular and irregular polygons.\nYear 3\nManipulate multiplication and division equations, and understand and apply the commutative property of multiplication.\nYear 4\nUnderstand that two numbers can be related additively or multiplicatively, and quantify additive and multiplicative relationships.\nYear 6\nSolve a linear equation requiring a single additive step.\nSolve a linear equation requiring a single multiplicative step.\nYear 8\n8\nWhen does the DfE think students will know…\nCopyright © AQA and its licensors. All rights reserved.\n9\nA way to bring it together?\nCopyright © AQA and its licensors. All rights reserved.\nWhat do you think of this concept map?\nWhat are the implications for teaching and learning?\nHow do you go about teaching these concepts together over KS3?\n10\nDiscussion 3\nCopyright © AQA and its licensors. All rights reserved.\n2g+2f−5g+4f\n11\nCollect terms and simplify\nCopyright © AQA and its licensors. All rights reserved.\nGiven what we have been discussing, what changes could we make to the way students experience their mathematics?\n12\nDiscussion 4: How can we think about this?\nCopyright © AQA and its licensors. All rights reserved.\nThere’s a series of threads that run through maths.\nIf these are the key things then we should focus on them.\nKnowing the key conceptions allows us to focus on the key misconceptions.\nJoining this up in a structured way that reveals the threads seems to make sense.\n13\nA conclusion?\nCopyright © AQA and its licensors. All rights reserved.\nAny questions?\n14\nTake advantage of our extra resources in the ‘Planning’, ‘Teaching’ and ‘Assessment’ tabs on the subject page.\nThe content of this training course contains no reference to future exam content as far as we know at the time of production (summer 2023).\n15\nResources\nCopyright © AQA and its licensors. All rights reserved.\nGo to the MathsConf area of the AQA website to find presentations from past events.\n16\nResources\nCopyright © AQA and its licensors. All rights reserved.\nFind a huge range of resources in our All About Maths pages.\n17\nResources\nCopyright © AQA and its licensors. All rights reserved.\nOur friendly team will be happy to support you between 8am and 5pm, Monday to Friday.\nTel: 0161 957 3852\nEmail: maths@aqa.org.uk\nTwitter: @AQAMaths\naqa.org.uk\n18\nGet in touch\nCopyright © AQA and its licensors. All rights reserved.\n19","cbCaiapB2Okvcwdd","https://ap.wps.com/l/cbCaiapB2Okvcwdd","pptx",8166809,"English","# Welcome\n# Conceptions vs misconceptions\n# Why do we need key concepts?\n# What are the key bits of maths needed for GCSE?\n# Discussions (KS3 key things)\n# Bringing it together (concept map)\n# Conclusion","[{\"question\":\"What are key concepts in KS3 maths meant to achieve for GCSE success?\",\"answer\":\"They have the greatest impact on future success and underpin other concepts and ideas, ideally supporting students by the end of KS3.\"},{\"question\":\"How does the presentation distinguish conceptions from misconceptions?\",\"answer\":\"It frames conceptual understanding as different from performing methods, and emphasizes that knowing key conceptions helps focus on preventing key misconceptions.\"},{\"question\":\"How should teaching and learning connect key concepts across KS3?\",\"answer\":\"It suggests joining concepts in a structured way that reveals the “threads” running through maths, and teaching these concepts together over KS3.\"}]","Key concepts in GCSE Mathematics - AQA MathsConf32 | PPTX",1792462669,48]