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It outlines assumed foundations in arithmetic, fractions, simplification, and percentage meaning, then structures discussions on suitable topics, teaching challenges, and expectations for Year 7. The session explains when ratios are introduced, and develops multiplicative relationships through fractions, ratios, and multiple representations including double number lines, ratio tables, graphs, and scaling diagrams, supported by examples and common misconceptions.",{"@graph":69,"@context":122},[70,84,105],{"@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/gcse-maths-ratio-and-proportion-from-the-ground-up-session-2-leeds-2023/619251/",{"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/gcse-maths-ratio-and-proportion-from-the-ground-up-session-2-leeds-2023/619251.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-10-31","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What prior knowledge is assumed before teaching ratio and proportion?","Question",{"text":112,"@type":113},"Students are assumed to have learned the four operations, understand fractions and simplification, and understand what ‘percentage’ means. They also should have the appropriate knowledge when new topics are introduced.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"When are students first introduced to ratios in this session’s plan?",{"text":117,"@type":113},"Ratios are introduced at Year 5 and Year 6, with subsequent understanding built through multiplicative relationships as students progress.",{"name":119,"@type":110,"acceptedAnswer":120},"How are multiplicative relationships represented across different years?",{"text":121,"@type":113},"The material highlights representations such as double number lines and ratio tables in Year 7 summer term, graphs in Year 8 spring term, and scaling diagrams in Year 8 spring term, all used to connect between forms.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},619251,1792941703,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","GCSE Maths:Ratio and Proportion – From the Ground Up Leeds 2023 – Session 2\nDavid McEwan\nCopyright © 2023 AQA and its licensors. All rights reserved.\n1\nAutumn 2023\nMathsConf 33\nWelcome\n2\n3\nSome assumptions\nCopyright © 2023 AQA and its licensors. All rights reserved.\nIt’s assumed that the groundwork is done and that students have:\nlearned the four operations\ngained an understanding of fractions and simplification\nGained an understanding of what the term ‘percentage’ is.\nAs topics are introduced, students have the appropriate knowledge to engage with them.\n4\nPrior knowledge\nCopyright © AQA and its licensors. All rights reserved.\nDiscussion 1\nCopyright © 2023 AQA and its licensors. All rights reserved.\n5\nWhat topics should be included Ratio and Proportion?\nWhat things need to be taught?\nWhere are the challenges to successful teaching and learning?\nDiscussion 2\nCopyright © 2023 AQA and its licensors. All rights reserved.\n6\nWhere should students be at the start of year 7?\nWhat does the DfE recommend is to be taught in Year 7?\n(according to the KS3 guidance)\n7\nFirst Contact\nCopyright © 2023 AQA and its licensors. All rights reserved.\nWhen do students get introduced to ratios?\nYear 5\n8\nFirst contact\nCopyright © AQA and its licensors. All rights reserved.\nWhen do students get introduced to ratios?\nYear 6\nUnderstand that two numbers can be related additively or multiplicatively, and quantify additive and multiplicative relationships (multiplicative relationships restricted to multiplication by a whole number).\n9\nFirst contact\nCopyright © AQA and its licensors. All rights reserved.\nSolve problems involving ratio relationships.\nUse ratio notation, including reduction to simplest form.\nDivide a given quantity into two parts in a given:\npart:part ratio.\npart:whole ratio.\nexpress the division of a quantity into 2 parts as a ratio.\n10\nFirst contact\nCopyright © AQA and its licensors. All rights reserved.\n11\nKS3\nCopyright © 2023 AQA and its licensors. All rights reserved.\nUnderstand the concept of multiplicative relationships.\nUnderstand that multiplicative relationships can be represented in a number of ways and can connect and move between those different representations.\nUnderstand that fractions are an example of a multiplicative relationship and apply this understanding to a range of contexts.\nUnderstand that ratios are an example of a multiplicative relationship and apply this understanding to a range of contexts.\n12\nYear 7 – Understanding multiplicative relationships:Fractions and ratio\nCopyright © AQA and its licensors. All rights reserved.\nThis means to understand that multiplicative relationships can be represented in a number of ways and connect and move between those different representations. These consist of:\nusing a double number line to represent a multiplicative relationship and connect to other known representations (Year 7 summer term)\nunderstanding the language and notation of ratio and use a ratio table to represent a multiplicative relationship and connect to other known representations (Year 7 summer term)\nusing a graph to represent a multiplicative relationship and connect to other known representations (Year 8 spring term)\nusing a scaling diagram to represent a multiplicative relationship and connect to other known representations (Year 8 spring term).\n13\nSplit statements of knowledge, skills and understanding\nCopyright © AQA and its licensors. All rights reserved.\nAppreciate that any two numbers can be connected via a multiplicative relationship.*\nUnderstand that a multiplicative relationship can be expressed as a ratio and as a fraction.\nBe able to calculate the multiplier for any given two numbers.\nAppreciate that there are an infinite number of pairs of numbers for any given multiplicative relationship (equivalence).\n14\nKey ideas (Year 7)\nCopyright © AQA and its licensors. All rights reserved.\nUnderstand that multiplicative relationships can be represented in a number of ways and connect and move between those diff","cbCaipolIoNWOhZy","https://ap.wps.com/l/cbCaipolIoNWOhZy","pptx",11453019,43,"English","# Welcome\n# Some assumptions\n# Prior knowledge\n# What topics should be included: Ratio and Proportion?\n# Where should students be at the start of Year 7?\n# First contact: When do students get introduced to ratios?\n# Understanding multiplicative relationships: Fractions and ratio (Year 7)\n# Representing multiplicative relationships\n## Split statements of knowledge, skills and understanding\n# Key ideas (Year 7)\n# Percentages and proportionality (Year 8)\n# Geometrical properties: Similarity and Pythagoras’ theorem (Year 9)\n# Tier examples and ratio practice","[{\"question\":\"What prior knowledge is assumed before teaching ratio and proportion?\",\"answer\":\"Students are assumed to have learned the four operations, understand fractions and simplification, and understand what ‘percentage’ means. They also should have the appropriate knowledge when new topics are introduced.\"},{\"question\":\"When are students first introduced to ratios in this session’s plan?\",\"answer\":\"Ratios are introduced at Year 5 and Year 6, with subsequent understanding built through multiplicative relationships as students progress.\"},{\"question\":\"How are multiplicative relationships represented across different years?\",\"answer\":\"The material highlights representations such as double number lines and ratio tables in Year 7 summer term, graphs in Year 8 spring term, and scaling diagrams in Year 8 spring term, all used to connect between forms.\"}]","GCSE Maths: Ratio and Proportion - From the Ground Up - Session 2 - Leeds 2023 | PPTX",1792462736,108]