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(1DT0)  \nGCSE Guide to Maths for Design and Technology  \nContents  \nContents 2  \nIntroduction 3  \n1a Recognise and use expressions in decimal and standard  \nform 4  \nRounding 4  \nWriting numbers in standard form 6  \n1b Use ratios, fractions and percentages 9  \nFractions and decimals 9  \nPercentages 10  \nConverting between fractions, decimals and percentages 12  \nRatios 14  \n1c Calculate surface area and volume 16  \nConverting units of surface area and volume 16  \n2a Presentation of data, diagrams, bar charts and  \nhistograms 18  \nBar charts 18  \nFrequency tables 20  \nFrequency diagrams 21  \nComparative bar charts 21  \nCompound bar charts 22  \nHistograms 22  \nPie charts 24  \nSelecting charts for displaying data 26  \n3a Plot, draw and interpret appropriate graphs 27  \nScatter graphs, correlation and lines of best fit 27  \nInterpreting scatter graphs 29  \nDrawing line graphs 29  \nInterpreting line graphs 31  \n3b Translate information between graphical and numeric  \nform 31  \n4a Use angular measures in degrees 32  \n4b Visualise and represent 2-D and 3-D forms, including two-dimensional representations of 3-D objects 33  \n4c Calculate areas of triangles and rectangles, surface areas and volumes of cubes 33  \nIntroduction  \nThis guide to maths for design and technology outlines the content that students will have covered in their maths lessons throughout KS3 and KS4 . You can use this guide to help you understand how different areas are approached in maths, and therefore support your teaching of mathematical content in design and technology lessons.  \nThe content is split into distinct mathematical concepts. Each chapter takes you through the terminology used in that area, as well as examples taken from Pearson maths textbooks to show you the methods students should be familiar with when solving mathematical problems.  \nSections which are highlighted green have a particular connection or reference to design and technology and may include examples.  \nSections which are highlighted blue refer to student inconsistencies and common errors.  \n1a Recognise and use expressions in decimal and standard form  \nRounding  \nDemand  \nAll KS3 students will have learned to round to the nearest whole number and 1, 2 or 3 decimal places. They should be able to cope with rounding to more decimal places as an extension of rounding to 3 decimal places.  \nSignificant figures  \nAt GCSE only Higher tier students learn about upper and lower bounds and percentage error.  \nFor percentage error they answer questions such as: Given a percentage error of ± 10%, what is the largest/smallest possible value?  \nAnswering questions such as‘What is the percentage error?’ for a given value is not covered in the GCSE maths specification.  \nApproach  \nLook at the digit after the last one you want to keep. Round up if this digit is 5 or more; round down if it is 4 or less.  \nRounding to 1 decimal place (1 d.p.)  \n5.4|326  \nless than 5 round down  \n5.4 (1 d. p.)  \n5.2|91  \n 5 or more  \nround up 5.3 (1 d. p.)  \n5.3|5  \n 5 or more  \nround up 5.4 (1 d.p.)  \nOn a number line, round to the nearest value with 1 decimal place:  \n5.29  \n5.35  \n5.4326  \n5.2 5.25 5.3 5.35 5.4 5.45 5.5  \nRounding to 2 decimal places (2 d.p.)  \n35.42|9 126.37|2  \n 5 or more  less than 5 round up round down  \n35.43 (2 d. p.) 126.37 (2 d. p.)  \nRounding to 3 decimal places (3 d.p.)  \n0.053|21 11.291|5  \nless than 5 round down  \n5 or more round up  \n0.053 (3 d. p.)  \nRounding to significant figures Small numbers  \n1st significant figure  \n= 4 ten thousandths  \n0.000 483  \n11.292 (3 d. p.)  \nLarge numbers  \n1st significant figure = 5 hundred million  \n518 376 000  \nRound to 2 significant figures (2 s.f.)  \n0.000 48|3  \n0.000 48  \nless than 5 round down  \n51|8 376 000  \n 5 or more  \nround up 520 000 000  \n Add zeroes so the 5 is still in the‘hundred million’ position  \nUpper and lower bou","cbCaigVMX4bksP6F","https://ap.wps.com/l/cbCaigVMX4bksP6F","pdf",3192954,35,"English","# Contents\n## Introduction\n## 1a Recognise and use expressions in decimal and standard form\n## 1b Use ratios, fractions and percentages\n## 1c Calculate surface area and volume\n## 2a Presentation of data, diagrams, bar charts and histograms\n## 3a Plot, draw and interpret appropriate graphs\n## 3b Translate information between graphical and numeric form\n## 4a Use angular measures in degrees\n## 4b Visualise and represent 2-D and 3-D forms\n## 4c Calculate areas and surface areas and volumes","[{\"question\":\"What is the purpose of this maths guide for Design and Technology students?\",\"answer\":\"The guide outlines maths content covered throughout KS3 and KS4 and helps teachers understand how key areas are approached in maths to support design and technology lessons.\"},{\"question\":\"How does the guide explain rounding for different GCSE/KS3 levels?\",\"answer\":\"It describes rounding to whole numbers and decimal places, applying the digit after the last retained place to round up (5 or more) or round down (4 or less), including examples on a number line.\"},{\"question\":\"What kind of data representations are included for presenting and comparing information?\",\"answer\":\"It covers bar charts, frequency tables and diagrams, comparative and compound bar charts, histograms, pie charts, and guidance on selecting appropriate charts.\"}]","Guide to Maths - GCSE (9-1) Design and Technology Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Design and Technology (1DT0) | PDF",1792473051,88]