CAMBRIDGE LOWER SECONDARYMATHEMATICSStudent’s BooksDIGITALPRINTENDORSEDRic Pimentel, Frankie Pimentel and Terry WallHelp students engage with and fully understand topics they are studying withan emphasis on mathematical thinking and working throughout ⸀• Increase subject knowledge: Provide activities and develop mathematical skillsin classrooms with mixed English abilities to increase subject knowledge ⸀£23 ⸀00Available aseBooks onStudent’s Book 7 9781398301948Student’s Book 8 9781398301993Student’s Book 9 9781398302044Boost eBooks are £14 ⸀50 for 1-year access, for ISBNs see order formWorkbooksPRINTENDORSEDWrite in Workbooks full of activities corresponding with the Student’s Books ⸀£9 ⸀50Workbook 7 9781398301269Workbook 8 9781398301283Workbook 9 9781398301306Add in covers: 9781398301306Look insideView sample material from our Student’s BooksHow to use this bookHow to use this bookExercise 15.2SECTION 31 Work out the answer to the following calculations. Show your working clearlyand simplify your answers where possible.a 2+1d 3− 356b712+ 15ec914− 72f13 2651+ 5−8 16 24+85KEYINFORMATIONThis is known as aposition-to-termrule. The positionnumber is the sameas the number ofwhite tiles.To make your study of Cambridge Checkpoint Maths as rewarding aspossible, look out for the following features when you are using the book:13 8 1− +18 9 62 Sadiq spends 15 of his earnings on his mortgage. He savesWhat fraction of his earnings is left?3 The numerators of two fractions are hidden as shown.27of his earnings.The Greeks2340 .This section gives some historical background to the material in the section.There are two types of rules which describe the sequence of bluetiles:– The number of blue tiles increases by 1 each time.– The number of blue tiles is always 2 more than the numberof white tiles.The second rule is useful if we know the number of white tiles andwant to work out the number of blue tiles. For example, if there are100 white tiles, how many blue tiles are there?Describe the pattern linking the number of white tiles and thenumber of green tiles.d Use your rule in part (c) to predict the number of green tiles in apattern with 100 white tiles.c3Number of blue tiles = number of white tiles + 2Number of blue tiles = 100 + 2 = 102Number of white tilesThis green star icon shows the thinking and working mathematically(TWM) questions. This is an important approach to mathematical thinkingand learning that has been incorporated throughout this book.Questions involving TWM differ from the more straightforward traditionalquestion and answer style of mathematical learning. Their aim is toencourage you to think more deeply about the problem involved, makeconnections between different areas of mathematics and articulate yourthinking.This indicates where you will see how to use a calculator to solve aproblem.These questions should be answered without a calculator.There is a link to digital content at the end of each chapter if you areusing the Boost eBook.3454Worked examplea Draw the next two diagrams in the sequence.b Copy and complete this table.These show you how you would approach answering a question.Number of white tiles12345Number of red tilesKEY INFORMATIONThese give you hints or pointers to solving a problem or understanding a concept.This highlights ideas and things to think about2viReturn to the contents pageNumber of white tiles12312345Number of blue tilesc Describe the pattern linking the number of white tiles and the number of blue tiles.d Use your rule in part (c) to predict the number of blue tiles in a pattern with 100 white tiles.Term-to-term rulesa Draw the next two diagrams in the sequence.b Copy and complete this table.This book contains lots of activities to help you learn. The questions aredivided into levels by difficulty. Green are the introductory questions, amberare more challenging and red are questions to challenge yourself. Someof the questions will also have symbols beside them to help you answerthe questions.a Draw the next two diagrams in the sequence.b Copy and complete this table.Number of white tilesc Describe the pattern linking the number of white tiles and the number of red tiles.d Use your rule in part (c) to predict the number of red tiles in a pattern with 100 whitetiles.This tells you that content is related to another subject.This tells you that content is available as audio. All audio is available todownload for free from www.hoddereducation.com/cambridgeextras2c Describe the pattern linking the number of white tiles and the number of orange tiles.d Use your rule in part (c) to predict the number of orange tiles in a pattern with 100 white tiles.1 These diagrams show the first three patterns in a sequence of growing tile patterns.LET’S TALKTalk with a partner or a small group to decide your answer when you see this box.1Number of orange tilesExercise 21.1Calculate the value of both numerators.Look out for these symbols:Look at thediagrams tounderstand therelationshipbetween thewhite and greentiles, rather thanjust looking fora pattern in thetable of numbers.a Draw the next two diagrams in the sequence.b Copy and complete this table.= 2340These aims show you what you will be covering in the unit.The sum of the two fractions is21 SequencesKEYINFORMATIONThis is known as aterm-to-term rule.How to use this book45A rule which describes how to get from one term to the next is calleda term-to-term rule.Number of green tilesv23READY TO ORDER?hoddereducation ⸀com/checkpoint-mathseducation@hachette ⸀co ⸀uk29
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