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Small Things Make a Big Difference","","GCSE Mathematics課程重點：通過梳理常見的失分原因，促使考生花少量時間避免在關鍵細節上犯同樣錯誤。內容涵蓋數學術語與關鍵字的正確記憶，正確使用描述性措辭；圖形與坐標圖繪製的鉛筆要求、描點精度、連線方式與讀刻方法；同時強調計算與繪圖檢查、座標軸比例與累積頻率曲線端點等要點。適用於Foundation與Higher兩個層級。",{"@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-mathematics-small-things-make-a-big-difference/619115/",{"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-mathematics-small-things-make-a-big-difference/619115.png","ImageObject",300,407,{"name":92,"@type":93},"Finn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why do students lose marks in GCSE maths, according to the presentation?","Question",{"text":112,"@type":113},"Students often lose marks by not recalling mathematical terminology correctly, describing ideas imprecisely, and making avoidable errors when drawing diagrams, graphs, and presenting working.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What should students use when drawing diagrams and graphs?",{"text":117,"@type":113},"Only a sharp HB pencil should be used for diagrams and graphs, because using pens makes it harder to identify which work they want marked.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the key graph-plotting checks to avoid losing marks?",{"text":121,"@type":113},"Plot points carefully within tolerance, draw the line/curve properly, use a single smooth line, read scales accurately (axes may differ), and confirm points are calculated and plotted correctly—especially if a curve looks unsmooth or doesn’t fit the grid.","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},619115,1792920091,{"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":19,"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},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","GCSE Mathematics – small things make a big difference  \nFollow uson Twitter @AQAMaths  \nIntroduction  \nTaking note of a few small things can make a big difference to the marks of even the best-prepared students .  \nThis PowerPoint highlights where marks are often unnecessarily lost.  \nIt aims to encourage GCSE maths students to invest a small amount of time in ensuring they do not make these same errors .  \nAll of the issues are relevant for Foundation and Higher tier papers .  \nOverview  \nThe following points are addressed in this PowerPoint. Click on the links to read the different sections .  \n1.  Learning keywords and terminology  \n2.  Using keywords and terminology correctly  \n3.  Drawing diagrams  \n4.  Drawing graphs  \n5.  Presentation and setting out of working  \n6.  Non-calculator arithmetic  \n7.  Using a calculator effectively  \n8.  Learning and recalling formulae correctly  \n9.  Poor use or no use of brackets  \n10.Writing an equation or expression from words  \n1. Learning keywords and terminology  \nMany students lose marks by not recalling mathematical terminology correctly. These are some of the pairs of words which are often confused with eachother:  \n• factor / multiple  \n• product / sum  \n• parallel / perpendicular  \n• adjacent / alternate  \n• simple interest / compound interest  \n• transformation / translation  \n• congruent / similar  \n1. Learning keywords and terminology  \nThis student did not know the difference between ‘factor’ and ‘multiple’ so gave both on the answer line.  \nBy not committing to an answer, they did not score any marks .  \nBack to menu  \n2. Using keywords and terminology correctly  \nUsing keywords and terminology incorrectly lose students marks . Descriptionsin words must be precise and concise. Some correct terminology, with their common, incorrect versions are shown below:  \n• Use reflection, rather than ‘flip’ or ‘mirrored’.  \n• Use rotation, rather than ‘spin’ or ‘turn’.  \n• Use alternate angles, rather than ‘Z angles’.  \n• Use corresponding angles, rather than ‘F angles’.  \n• Use alternate segment theorem, rather than ‘alternate theorem’.  \n• Use angles in the same segment are equal , rather than ‘bow-tie theorem.  \n• Use inter-quartile range rather than ‘upper quartile range’ or ‘lower quartile range’.  \nBack to menu  \n3. Drawing diagrams  \nWhen drawing diagrams and graphs, only a sharp HB pencil should be used. Students who make an error when using a pen will have difficulty showing which work they wish to have marked, as these examples show:  \nBack to menu  \n4. Drawing graphs  \nTo avoid losing marks when drawing graphs,, students should remember the following:  \n• Use a sharp HB pencil.  \n• Plot the points carefully: they must be accurate and lie within a specific tolerance.  \n• Remember to draw the line or curve.  \n• Use a single, smooth line that passes through all the points (except lines of best fit, which will not go through all the points) .  \n• Do not ‘feather ’ or sketch a line and do not use a ruler to join the points dot-to-dot.  \n• Check the points have been correctly calculated and correctly plotted if the curve is not smooth or does not fit on the printed grid.  \n• Read the scales on graphs carefully – the two axes will often be different.  \n• Drawing on 1cm grids must still be accurate.  \n• Cumulative frequency curves must start and finish at the correct points .  \n4. Drawing graphs  \nHere are two examples of graph plotting: on the left is a poorly drawn curve which does not score a mark and on the right a fully correct graph.  \n4. Drawing graphs  \nThis student has filled in the table correctly but has not plotted the points accurately and lost two marks .  \nBack to menu","cbCaiuZCNR2VSscz","https://ap.wps.com/l/cbCaiuZCNR2VSscz","pdf",2066943,29,"English","# Introduction\n# Learning keywords and terminology\n# Using keywords and terminology correctly\n# Drawing diagrams\n# Drawing graphs\n# Presentation and setting out of working\n# Non-calculator arithmetic\n# Using a calculator effectively\n# Learning and recalling formulae correctly\n# Poor use or no use of brackets\n# Writing an equation or expression from words","[{\"question\":\"Why do students lose marks in GCSE maths, according to the presentation?\",\"answer\":\"Students often lose marks by not recalling mathematical terminology correctly, describing ideas imprecisely, and making avoidable errors when drawing diagrams, graphs, and presenting working.\"},{\"question\":\"What should students use when drawing diagrams and graphs?\",\"answer\":\"Only a sharp HB pencil should be used for diagrams and graphs, because using pens makes it harder to identify which work they want marked.\"},{\"question\":\"What are the key graph-plotting checks to avoid losing marks?\",\"answer\":\"Plot points carefully within tolerance, draw the line/curve properly, use a single smooth line, read scales accurately (axes may differ), and confirm points are calculated and plotted correctly—especially if a curve looks unsmooth or doesn’t fit the grid.\"}]","GCSE Mathematics - Small Things Make a Big Difference | PDF",1792462488,73]