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KS2 7–8 Years Master Maths at Home Geometry and Shape Scan the QR code to help your child’s learning at home. mastermathsathome.com 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 11 1155//1111//22002211 1122::2299 How to use this book Maths — No Problem! created Master Maths at Home to help children develop fluency in the subject and a rich understanding of core concepts. Key features of the Master Maths at Home books include: • Carefully designed lessons that provide • Exercises that allow a flexible approach and structure, but also allow flexibility in how can be adapted to suit any child’s cognitive they’re used. or functional ability. • Speech bubbles containing content designed • Clearly laid-out pages that encourage children to spark diverse conversations, with many to practise a range of higher-order skills. discussion points that don’t have obvious • A community of friendly and relatable ‘right’ or ‘wrong’ answers. characters who introduce each lesson and • Rich illustrations that will guide children come along as your child progresses through to a discussion of shapes and units of the series. measurement, allowing them to make connections to the wider world around them. You can see more guidance on how to use these books at mastermathsathome.com. We’re excited to share all the ways you can learn maths! Copyright © 2022 Maths — No Problem! Maths — No Problem! mastermathsathome.com www.mathsnoproblem.com This book was made with [email protected] Forest Stewardship Council™ First published in Great Britain in 2022 by certified paper – one small Dorling Kindersley Limited step in DK's commitment to a sustainable future. For One Embassy Gardens, 8 Viaduct Gardens, London SW11 7BW more information go to www. A Penguin Random House Company dk.com/our-green-pledge The authorised representative in the EEA is Dorling Kindersley Verlag GmbH. Amulfstr. 124, 80636 Munich, Germany 10 9 8 7 6 5 4 3 2 1 001–327081–Jan/22 All rights reserved. Without limiting the rights under the copyright reserved above, no part of this publication may be reproduced, stored in, or introduced into a retrieval system, or transmitted, in any form, or by any means (electronic, mechanical, photocopying, recording, or otherwise), without the prior written permission of the copyright owner. A CIP catalogue record for this book is available from the British Library. ISBN: 978-0-24153-923-1 Printed and bound in the UK For the curious www.dk.com Acknowledgements The publisher would like to thank the authors and consultants Andy Psarianos, Judy Hornigold, Adam Gifford and Dr Anne Hermanson. The Castledown typeface has been used with permission from the Colophon Foundry. 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 22 1155//1111//22002211 1122::2299 How to use this book Contents Maths — No Problem! created Master Maths at Home to help children develop fluency in the subject and a rich understanding of core concepts. Key features of the Master Maths at Home books include: Page • Carefully designed lessons that provide • Exercises that allow a flexible approach and structure, but also allow flexibility in how can be adapted to suit any child’s cognitive Making angles 4 they’re used. or functional ability. Finding angles 6 • Speech bubbles containing content designed • Clearly laid-out pages that encourage children Finding right angles 8 to spark diverse conversations, with many to practise a range of higher-order skills. discussion points that don’t have obvious Comparing angles 10 • A community of friendly and relatable ‘right’ or ‘wrong’ answers. characters who introduce each lesson and Making turns 12 • Rich illustrations that will guide children come along as your child progresses through Identifying perpendicular lines 14 to a discussion of shapes and units of the series. measurement, allowing them to make Identifying parallel lines 16 connections to the wider world around them. Finding vertical and horizontal lines 18 You can see more guidance on how to use these books at mastermathsathome.com. Describing 2D shapes 20 We’re excited to share all the ways you can learn maths! Drawing 2D shapes 22 Making 3D shapes 24 Describing 3D shapes 26 Copyright © 2022 Maths — No Problem! Measuring total length around a shape 28 Maths — No Problem! mastermathsathome.com Measuring perimeter using a grid 30 www.mathsnoproblem.com This book was made with [email protected] Measuring perimeters of complex shapes 32 Forest Stewardship Council™ First published in Great Britain in 2022 by certified paper – one small Dorling Kindersley Limited step in DK's commitment Measuring perimeter using a ruler 34 to a sustainable future. For One Embassy Gardens, 8 Viaduct Gardens, London SW11 7BW more information go to www. Calculating perimeters of regular shapes 36 A Penguin Random House Company dk.com/our-green-pledge The authorised representative in the EEA is Dorling Kindersley Calculating perimeters of complex shapes 38 Verlag GmbH. Amulfstr. 124, 80636 Munich, Germany 10 9 8 7 6 5 4 3 2 1 Review and challenge 40 001–327081–Jan/22 Answers 46 All rights reserved. Without limiting the rights under the copyright reserved above, no part of this publication may be reproduced, stored in, or introduced into a retrieval system, or transmitted, in any form, or by any means (electronic, mechanical, photocopying, recording, or otherwise), without the prior written permission of the copyright owner. A CIP catalogue record for this book is available from the British Library. ISBN: 978-0-24153-923-1 Printed and bound in the UK For the curious www.dk.com Acknowledgements The publisher would like to thank the authors and consultants Andy Psarianos, Judy Hornigold, Adam Gifford and Dr Anne Hermanson. The Castledown typeface has been used with permission from the Colophon Foundry. Ruby Elliott Amira Charles Lulu Sam Oak Holly Ravi Emma Jacob Hannah 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 22 1155//1111//22002211 1122::2299 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 33 1155//1111//22002211 1122::2299 Making angles Lesson 1 Starter Look at these letters. Which letter doesn’t make an angle? S A M Example An angle is formed when two straight lines meet at a point. This A and this M are made of straight lines. This S has no angles as it is made from one curved line. 4 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 44 1155//1111//22002211 1122::2299 Making angles Lesson Practice 1 1 Circle the shapes that have angles. Starter Look at these letters. Which letter doesn’t make an angle? S A M Example 2 Circle the angles. An angle is formed when two straight lines meet at a point. 3 Use a ruler to draw 3 different angles. This A and this M are made of straight lines. This S has no angles as it is made from one curved line. 4 5 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 44 1155//1111//22002211 1122::2299 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 55 1155//1111//22002211 1122::2299 Finding angles Lesson 2 Starter How many angles are inside these shapes? Example Here is one angle The inside of this inside this shape. shape has 6 angles. The inside of this shape has 5 angles. One of the shapes has 6 angles inside and the other shape has 5 angles inside. 66 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 66 1155//1111//22002211 1122::2299 Finding angles Lesson Practice 2 1 Starter This shape How many angles are inside these shapes? has 8 sides. Circle all the angles you can ﬁ nd in this shape. 2 Example (a) How many sides does this shape have? Here is one angle The inside of this inside this shape. (b) How many angles does it have? shape has 6 angles. The inside of this 3 Use a ruler to draw one shape that has 4 angles inside and one shape shape has 5 angles. that has 3 angles inside. One of the shapes has 6 angles inside and the other shape has 5 angles inside. 66 7 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 66 1155//1111//22002211 1122::2299 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 77 1155//1111//22002211 1122::3300 Finding right angles Lesson 3 Starter All the angles in the rectangles Sam made a picture of a house using only rectangles. are equal. We can also say they are congruent. What types of angles do rectangles have? Example All the angles in the picture are the same type. When two lines meet like this, they make a right angle. This is how we mark a right angle. All the angles in a rectangle are right angles. 8 332277008811__MMNNPP__GGeeoommeettrryy__aanndd__SShhaappee__AAggeess__77--88__KKSS22..iinndddd 88 1155//1111//22002211 1122::3300