Middle Primary Space
Copying for Educational Purposes The purchasing educational institution and its staff have the right to make copies of the whole or part of this book, beyond their rights under the Australian Copyright Act 1968 (the Act), provided that: 1. the number of copies does not exceed the number reasonably required by the educational institution to satisfy its teaching purposes; 2. copies are made only by reprographic means (photocopying), not by electronic/digital means, and not stored or transmitted; 3. copies are not sold or lent; 4. every copy made clearly shows the footnote (eg Blake Education 2000. This sheet may be photocopied for non-commercial classroom use ). Any copying of this book by an educational institution or its staff outside of this blackline master licence may fall within the educational statutory licence under the Act. For details of the CAL licence for educational institutions contact: Copyright Agency Limited Level 19, 157 Liverpool Street Sydney NSW 2000 Telephone: (02) 9394 7600 Facsimile: (02) 9394 7601 Email: info@copyright.com.au Copying by others Except as otherwise permitted by this blackline master licence or under the Act (for example, any fair dealing for the purposes of study, research, criticism or review) no part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means without prior written permission. All inquiries should be made to the publisher at the address above. : Middle Primary: Space Copyright 2000 Blake Education Reprinted 2004 ISBN 1 86509 864 7 Published by Blake Education Locked bag 2022 Glebe NSW 2037 (02) 8585 4085 Series editor: Garda Turner Designed and typeset by MAPG Printed in Singapore by Green Giant Press Material can be reproduced from this book for educational purposes within the school or institution which purchased the original copy. ii
Introduction is a comprehensive resource for primary schools. It has been developed so that teachers can find activities and photocopiable pages for all areas of the primary maths curriculum. The structure of the complete series The twelve books in the series cover all aspects of the maths curriculum in an easy to access format. Each level of primary schooling lower, middle and upper has four books: Numeration and Fractions; Operations and Number Patterns; Space; Measurement. Each topic in the books is covered by one or more units that are progressive in level. You are able to find resources for all your students whatever their ability. This enables you to differentiate for different ability groups, within your class. It also allows you to quickly find wordsheets at different levels for remediation and extension. The structure of this book This book contains topics covering Space: Space 2D; Space 3D; Position, Mapping and Transformation; Graphs; Chance and Data. Each topic is covered by two complete units of work. The structure of each unit Each unit is complete in itself. It begins with a list of outcome indicators, resources needed, mathematical language used and a description of each blackline master. This is followed by suggested student activities to reinforce learning. The six photocopiable pages cover different aspects of the topic in a progressive nature and all answers are included. Each nine page unit includes an assessment page. These assessment pages are an important resource in themselves as teachers can use them to find out what their students know about a new topic. They can also be used for assessing specific outcomes when clear feedback is needed. Each topic has an activity page which contains a game or activity which further explores the topic in a fun way.
Contents Introduction Topic Paths Middle Primary view Space vi Operations and Number patterns vii Numeration and Fractions viii Measurement ix Merit Certificates Space 2D view 1 Unit 1 regular and irregular shapes, quadrilaterals 2 Unit 2 angles, symmetry, parallel lines 12 Space 3D view 21 Unit 1 naming 3D shapes, faces, edges, corners 22 Unit 2 prisms, views and cross-sections 32 Position, Mapping and Transformation view 41 Unit 1 coordinates, paths and maps 42 Unit 2 axes of symmetry, flip, slide, turn 52 Graphs view 61 Unit 1 recording information, tally marks, picture graphs 62 Unit 2 column, line, pie and bar graphs 72 Chance and data view 81 Unit 1 possible, impossible, likely, certain, combinations 82 Unit 2 data, predictions, chance, experiments 92 Nets of 3D shapes Cube 103 Rectangular prism 104 Triangular prism 105 Square-based pyramid 106 Triangular-based pyramid 107 Pentagonal-based pyramid 108 Cylinder 109 Cone 110 iv v x iv
POSITION, MAPPING AND TRANSFORMATION The Position and Mapping unit uses the language of position on a number of exercises. Students follow directions, draw paths and maps, and use coordinates to locate specific items on grids.there is a fun dot-to-dot page as well as activities on drawing paths and finding coordinates. One assessment page is included. The Transformation unit explores symmetry and making patterns through flipping, sliding and turning. Tangram patterns are used to make pictures and lines of symmetry are drawn and counted. Two fun activity pages explore transformations and symmetry. There is one assessment page. 41
MIDDLE PRIMARY POSITION AND MAPPING Assessment outcomes UNIT 1 Directions Maps Coordinates Dot-to-dot Position A student: describes the position of objects in relation to one another and uses simple maps and informal grids to represent this relationship. uses directional language in describing location. visualises and tests the effect of following a simple sequence of movements. notes order and proximity on maps. checks whether answers to problems are correct and sensible. BLM Content * Materials needed for each BLM 1 Simple directions recognising position and directions; following simple directions. 2 Following directions colouring a pathway; following directions to find position. 3 Reading maps giving directions from Point A to Point B; drawing maps. * coloured pencils 4 Position on maps locating position on maps, coordinate points. 5 Map coordinates locating position on maps, coordinate points. 6 Dot-to-dot completing a dot-to-dot maze; creating your own dot-to-dot. * coloured pencils 7 Assessment * coloured pencils 8 Activity drawing paths and solving a riddle. Language North, South, East, West, direction, instructions, position, map, coordinates, dot-to-dot, locating Materials/resources pencils, rulers, coloured pencils 42 * Remember Before starting ensure that each student: * has a sharp B or 2B pencil. * develops the habit of checking. * reads questions twice to avoid simple mistakes. * * knows the major compass points.
Additional Activities Students use the street directory to find their suburb and home address. Using the street directory they can follow the streets to their school. Students write directions from their desks in their classroom to a secret location. e.g. 3 steps forward, 10 steps to the right.they then give the instructions to a friend to see if they end up at the secret location. Children collect different maps to show that there are many ways of mapping locations. e.g. navigation, sailing maps, road maps, house plans etc. Students draw maps of their houses and concentrate on floor plans. ANSWERS BLM 1 1 a left b in c next to d right e beside the hut 2 a A b G c V d L BLM 2 1 Teacher to check. 2 a Tim b Kate c Greg d Back row, right corner BLM 3 Teacher to check. BLM 4 1 a C4 b E3 c B3 d G5 e G2 f G4 2 a Mount Isle b Pitt Town c Emu Wharf d Point Change e St Beach f Freeway Ocean BLM 5 1 a Glenmore Valley b Pine Pt c Blue Mountain d Forest Way e Logan Lookout f Wing Point 2 a B4 b G3 c D6 d F5 e F6 f D2 3 a Timmins b West c East d East e Northwest BLM 6 Teacher to check. BLM 7 1 a F b J c T d H 2 3 right, 2 down, 2 right, 2 up, 3 right, 3 down, 2 right 3 a C2 b D5 c I2 d B3 4 Teacher to check map locations. BLM 8 1 Teacher to check. 2 Man, have I got problems. 43
Name 0000000000000000000000000000000000 Date 00000000 SIMPLE DIRECTIONS BLM1 1 Circle the correct word in each sentence so that it relates to the picture. a The hut is on the left/right side of the creek. b The fish are in/on/beside the creek. c The hut is next to/far away from the creek. d The tree is on the right/left side of the creek. e The girl is standing on top of/beside the hut. 2 Follow the directions to find the letters. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A B C D E F a The bottom row, third from the left. 000000 b Top row, 2nd from the right. 000000 c 2nd row from the bottom, third from the right. 000000 d Third row from the bottom, fourth from the left. 000000 44 Outcome Describes the position of objects in relation to one another and uses simple maps and informal grids to represent this relationship. Blake Education. This page may be reproduced for classroom use.
Name 0000000000000000000000000000000000 Date 00000000 FOLLOWING DIRECTIONS BLM2 1 a Follow the directions and colour your path from home to school. 3 forward, 2 down, 4 right, 1 down, 2 left, 4 down, 6 right. X home X X X X X X X X X X X X X X X X X X X X X school b Write the directions for the path that has been marked with an X. 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000 2 Look at the map of this classroom. Answer the following questions. BACK Tom Kate Dee Scott Bob Lee Kirst Greg Gillian Joe Steve John Tim Betty Jim Teacher a Who sits directly in front of the teacher? 000000000000000000 b Who sits in the back row, 2nd from the left? 000000000000000000 c Who sits in the second row in the centre? 000000000000000000 d Write the position of Bob s seat? 000000 Outcome Uses directional language in describing location. Blake Education. This page may be reproduced for classroom use. 45
Name 0000000000000000000000000000000000 Date 00000000 READING MAPS BLM3 1 Colour 2 paths from home to the supermarket. Write the directions for the shorter path. LITTLE ROAD WOLSELEY ROAD RED LANE BRIDGE STREET HIGH STREET HUNTER AVE BRIDGE STREET RIDGE STREET BLUE AVE 0000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000 2 Draw a map of how you get to school. 46 Outcome Uses directional language in describing location. Blake Education. This page may be reproduced for classroom use.
Name 0000000000000000000000000000000000 Date 00000000 POSITION ON MAPS BLM4 Pitt Town Emu Wharf Beach Hut Leonay Lookout Point Change Bluegum Lagoon Freeway Ocean Sunset Lodge Hunter Lodge St Beach Mount Isle Fitch Pt 1 Give the position coordinates for the following locations on Emu Island. a Leonay Lookout 0000000000 b Hunter Lodge 0000000000 c Sunset Lodge 0000000000 d Beach Hut 0000000000 e Fitch Pt 0000000000 f Bluegum Lagoon 0000000000 2 What is located at the following points? a D2 00000000000000000000 b B5 00000000000000000000 c F5 00000000000000000000 d E4 00000000000000000000 e B2 00000000000000000000 f H4 00000000000000000000 Outcome Notes order and proximity on maps. Blake Education. This page may be reproduced for classroom use. 47
Name 0000000000000000000000000000000000 Date 00000000 MAP COORDINATES BLM5 Timmins Logan Lookout Mount Neale Holiday Inn Wing Point Sunset Inlet Glenmore Valley Star Lodge Forest Way Corin Plain Blue Mountain Pine Pt Star Island 1 Name the places at these coordinates. a D4 00000000000000000000 b G2 00000000000000000000 c I4 00000000000000000000 d G5 00000000000000000000 e B6 00000000000000000000 f I6 00000000000000000000 2 Give the coordinates for the following places. a Sunset Inlet 0000000000 b Corin Plain 0000000000 c Mount Neale 0000000000 d Star Lodge 0000000000 e Holiday Inn 0000000000 f Star Island 0000000000 48 3 a What is the most northerly town on the map? 0000000000 b What direction is Star Island from Pine Pt? 0000000000 c What direction is Blue Mountain from Glenmore Valley? 0000000000 d What direction is Logan lookout from Forest Way? 0000000000 Outcome Notes order and proximity on maps. Blake Education. This page may be reproduced for classroom use.
Name 0000000000000000000000000000000000 Date 00000000 DOT TO DOT BLM6 1 Join the dots and colour. 2 Make your own dot-to-dot and ask a friend to complete the picture. Outcome Visualises and tests the effect of following a simple sequence of movement. Blake Education. This page may be reproduced for classroom use. 49
ASSESSMENT Name 0000000000000000000000000000000000 Date 00000000 POSITION AND MAPPING BLM7 1 Which letter is found in the following positions? a Top row, third from the right 00000000 b 2nd row, 2nd from the left 00000000 c Bottom row, 5th from the right 00000000 d Top row, right corner 00000000 a b c d e f g h i j k l m n o p q r s t u v w x 2 Write the directions for the path marked with an X. Start x x x x x x x x x x x x x x x x x Finish 0000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000 3 Byron Ridge Eva Lookout McLean Mountain Lighthouse Give the coordinates for the following locations on the map. a McLean Mountain 00000000 b Eva Lookout 00000000 c Lighthouse 00000000 d Byron Ridge 00000000 4 Insert these locations on the map. a E3, Small Town b G2, Turner Lake c H4, High Village 50 Blake Education. This page may be reproduced for classroom use.
ACTIVITY PAGE BLM 8 Name 0000000000000000000000000000000000 Date 00000000 POSITION AND MAPPING 1 Start at the dot to draw this path. Go up 7, right 4, down 1, left 3, down 2, right 2, down 1, left 2, down 2, right 3, down 1, left 4. Draw a simple path on this grid. Describe it to a friend who must try to draw it. 2 Complete the riddle below by matching the letters on the grid with the clues. WHAT DID ONE MATHS BOOK SAY TO THE OTHER? H G F E D C B A A A S R D T C X Q W I W I I R F B E V Z E P N F G H L J D E M U T E O B Z H U V J W U E D A K O J X I O Q R G X M Y B X O G A H P J K S D K H L L Q P L M N C C I A L M N T V X V G D Z S H Y X V N O U E V U F W O Q Z W P M O 1 2 3 4 5 6 7 8 9 10 11 12 13 14, (3, F) (7, D) (9, G) (1, C) (12, C) (3, B) (4, G) (11, H) (13, E) (10, E) (6, H) (5, C) (1, G) (8, A) (3, D) (13, G) (6, F) (13, A) (9, B) 51 Blake Education. This page may be reproduced for classroom use.
The Series is a comprehensive resource for primary schools. It has been designed to provide busy teachers with all the additional material they need when teaching mathematics. All aspects of the primary mathematics curriculum are covered in this twelve book series. With, teachers can easily find student activities, reproducible pages and assessment ideas for every mathematical topic or concept. Each topic is covered by one or more units of work which are progressive in level. Each unit starts with two teaching pages that include outcomes, language and materials needed. This is followed by a description of the six blackline masters and all their answers. There are activities and exercises for extension as well as reinforcement and practice, plus high interest activities and games. Each unit ends with an assessment page, which is a valuable teaching resource in itself. They can be used to assess specific outcomes or as a pre-test to discover levels of student understanding. There are four books at each level Lower, Middle and Upper Primary. Lower Primary Lower Primary Lower Primary Lower Primary Operations and Number Patterns Numeration and Fractions Space Measurement Middle Primary Middle Primary Middle Primary Middle Primary Operations and Number Patterns Numeration and Fractions Space Measurement Upper Primary Upper Primary Upper Primary Upper Primary Operations and Number Patterns Numeration and Fractions Space Measurement