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Length, Area and Perimeter My Name Copyright © 2009 3P Learning Student Series E Length, Area and Perimeter My name Copyright © 2009 3P Learning. All rights reserved. First edition printed 2009 in Australia. A catalogue record for this book is available from 3P Learning Ltd. ISBN 978-1-921860-62-1 Ownership of content The materials in this resource, including without limitation all information, text, graphics, advertisements, names, logos and trade marks (Content) are protected by copyright, trade mark and other intellectual property laws unless expressly indicated otherwise. You must not modify, copy, reproduce, republish or distribute this Content in any way except as expressly provided for in these General Conditions or with our express prior written consent. Copyright Copyright in this resource is owned or licensed by us. Other than for the purposes of, and subject to the conditions prescribed under, the Copyright Act 1968 (Cth) and similar legislation which applies in your location, and except as expressly authorised by these General Conditions, you may not in any form or by any means: adapt, reproduce, store, distribute, print, display, perform, publish or create derivative works from any part of this resource; or commercialise any information, products or services obtained from any part of this resource. Where copyright legislation in a location includes a remunerated scheme to permit educational institutions to copy or print any part of the resource, we will claim for remuneration under that scheme where worksheets are printed or photocopied by teachers for use by students, and where teachers direct students to print or photocopy worksheets for use by students at school. A worksheet is a page of learning, designed for a student to write on using an ink pen or pencil. This may lead to an increase in the fees for educational institutions to participate in the relevant scheme. Published 3P Learning Ltd For more copies of this book, contact us at: www.3plearning.com/contact Designed 3P Learning Ltd Although every precaution has been taken in the preparation of this book, the publisher and authors assume no responsibility for errors or omissions. Neither is any liability assumed for damages resulting from the use of this information contained herein. Series E – Length, Perimeter and Area Contents Topic 1 – Units of length (pp. 1–7) Date completed • metres and cen metres ________________________ / / • length and decimal nota on _____________________ / / • millimetres ___________________________________ / / • convert it – apply ______________________________ / / Topic 2 – Perimeter (pp. 8–14) • measuring shapes _____________________________ / / • calcula ng perimeter __________________________ / / • perimeter word problems _______________________ / / • perimeter challenges – solve _____________________ / / • harder perimeter challenges – solve _______________ / / Topic 3 – Area (pp. 15–22) • square cen metres ____________________________ / / • square metres ________________________________ / / • inves ga ng area and perimeter _________________ / / • area challenges 1 – apply _______________________ / / • area challenges 2 – apply _______________________ / / Series Author: Nicola Herringer Please note: These pages have been designed to print to ‘shrink to printable area’ as this is a common default se ng on many computers. There may be minor discrepancies with measurements as individual printers and photocopiers print to slightly diff erent propor ons. Copyright © Units of length – metres and centimetres We use metres, cenƟ metres and millimetres regularly in everyday life. There are 100 cenƟ metres in 1 metre. Another way to think about this relaƟ onship is that 1 cenƟ metre is one hundredth of a metre. 1 1 100 cm = 1 m 1 cm = 100 m or 0.01 m So 2 m = 50 cm = 0.5 m 0 cm 10 20 30 40 50 60 70 80 90 100 1 Convert each metre measurement into cenƟ metres: 1 a 2 m = cm b 4 m = cm c 4 m = cm 1 1 d 9 m = cm e 2 m = cm f 14 m = cm 2 Convert each cenƟ metre measurement to metres: a 10 cm = m b 30 cm = m c 90 cm = m d 50 cm = m e 75 cm = m f 80 cm = m 3 EsƟ mate and EsƟ mate in cm Measure in cm measure three things that 1 a About 2 metre fi t in each 3 category: b About 4 metre c About 1 metre 4 Match these objects to their correct measurement by connecƟ ng them with a line: 37 m 45 cm 5 cm 83 cm 1 m 15 cm 12 cm Length, Perimeter and Area E1 1 Copyright © 3P Learning SERIES TOPIC Units of length – metres and centimetres 5 Measure the length of the lines below using a ruler. Write each length in cenƟ metres, to the nearest cenƟ metre. a __________ cm b __________ cm c __________ cm 6 Answer these quesƟ ons about the lines above: a How much longer is line b than line c? __________ cm b What would the length of line b be if it was 3 cm shorter? __________ cm c What would the length of line c be if it was 9 cm longer? __________ cm 7 Draw lines for the following measurements. Make sure you start each line on the dot. a 14 cm • 1 b 2 cm • 1 c 82 cm • 8 Measure some objects you fi nd in the classroom. Label the measurements to the nearest cenƟ metre in the boxes. a ______________ ______ cm b ______________ ______ cm c ______________ ______ cm d ______________ ______ cm e ______________ ______ cm f ______________ ______ cm g ______________ ______ cm Length, Perimeter and Area 2 E1 Copyright © 3P Learning SERIES TOPIC Units of length – length and decimal notation When we measure things that are in metres and cenƟ metres it is useful to 1 record such lengths in decimal notaƟ on. Remember that 1 cm = 100 m. This can be wriƩ en as 0.01 m. So if we measure something that is 1 metre and 36 cenƟ metres long, we would write it like this: 1.36 m Hundredths of a metre Tenths of a metre Metres in whole numbers 1 Write the measurements in decimal form: a 1 metre 69 cenƟ metres = m b 2 metres 91 cenƟ metres = m c 3 metres 23 cenƟ metres = m d 34 cenƟ metres = m e 9 metres 4 cenƟ metres = m f 5 metres 9 cenƟ metres = m 2 Write these cenƟ metres as metres using decimal notaƟ on: a 416 cm = m b 319 cm = m c 567 cm = m d 607 cm = m e 510 cm = m f 4 cm = m 3 Write these measurements as cenƟ metres: a 9.34 m = cm b 3.45 m = cm c 6.07 m = cm d 5.47 m = cm e 0.94 m = cm f 9.51 m = cm 4 Draw lines for the following measurements. Make sure you start each line on the dot and keep each line parallel to the top of the page. a 0.07 m • b 0.14 m • c 0.02 m • Length, Perimeter and Area E1 3 Copyright © 3P Learning SERIES TOPIC Units of length – length and decimal notation 5 You can work individually or in small groups for this task. You will need a tape measure. First, iden fy three or four objects in the classroom (or in the school) that you think have length between 1 metre and 3 metres. Record the name of the objects in the table below. Second, es mate the length of each object in metres and cen metres and record it in the table. Third, measure the actual length of each object and record it in the table. Then, write the actual length of each object as a decimal in the table. Finally, work out the diff erence between each es mate and the actual length. Record this in metres and cen metres, and as a decimal. Object name Estimated length ___ m ___ cm ___ m ___ cm ___ m ___ cm ___ m ___ cm Actual length ___ m ___ cm ___ m ___ cm ___ m ____ c ___ m ___ cm Actual length as a decimal ___.___ m ___.___ m ___.___ m ___.___ m Diff erence between estimated ___ m ___ cm ___ m ___ cm ___ m ___ cm ___ m ___ cm length and actual length 6 Find the lines that connect to make these lengths: 1 m, 2 m and 3 m. Show you have found them by tracing over lines that connect in diff erent colours. To start you off , the fi rst length has been done for you. a 1 m = ________________________ b 2 m = ________________________ c 3 m = ____________________________________________________________ You can use a calculator. 0.4 m 0.3 m 0.3 m 0.6 m 0.8 m 1.0 m 1.3 m 0.6 m 0.4 m 0.3 m Length, Perimeter and Area 4 E1 Copyright © 3P Learning SERIES TOPIC Units of length – millimetres We use metres, cenƟ metres and millimetres regularly in everyday life. You should learn these millimetre facts: 1 cenƟ metre = 10 millimetres 1 cm = 10 mm 0 mm 10 20 30 40 50 60 70 80 90 100 45 mm = 4 cm 5 mm 45 mm = 4.5 cm 1 EsƟ mate and measure these objects in millimetres: Object EsƟ mate Millimetres a Width of your thumb b Length of your hand c Length of a grape 2 Convert these cenƟ metre measurements into millimetres: a 4 cm = mm b 3 cm = mm c 10 cm = mm 1 1 d 62 cm = mm e 7 cm = mm f 2 cm = mm 3 Write these as cenƟ metres and millimetres: a 17 mm = cm mm b 29 mm = cm mm c 42 mm = cm mm d 36 mm = cm mm 4 Write these measurements as cenƟ metres: a 12 mm = cm b 46 mm = cm c 63 mm = cm d 48 mm = cm Length, Perimeter and Area E1 5 Copyright © 3P Learning SERIES TOPIC Units of length – millimetres 5 Follow these steps to measure these lines accurately in cenƟ metres and millimetres.
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