A COMPLETE NUMERACY PROGRAMME FOR PRIMARY SCHOOLS. 5 th

Transcription

1 A COMPLETE NUMERACY PROGRAMME FOR PRIMARY SCHOOLS 5 th

2 Author: Elaine Burke Editor: Claire Rourke Design: Marian Purcell Layout: Marian Purcell, Niamh Carey Illustrator: Brian Fitzgerald, Jeremiah McAuliffe ISBN: Folens Publishers, 2011 Reprinted 2012 First published in 2011 by: Folens Publishers, Hibernian Industrial Estate, Greenhills Road, Tallaght, Dublin 24. The paper used in this book is sourced from managed forests. Folens books are protected by international copyright laws. All rights reserved. The copyright of all materials in this book, except where otherwise stated, remains the property of the author(s). No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means (stencilling, photocopying, etc.) for whatever purpose, even purely educational, without the prior written permission of the publisher. The publisher reserves the right to change, without notice, at any time the specification of this product. The publisher has made every effort to contact copyright holders but if any have been overlooked we will be pleased to make any necessary arrangements. To the best of the publisher s knowledge, information in this book was correct at the time of going to press. No responsibility can be accepted for any errors.

3 Contents Introduction 4 Introduction to Oral and Mental Maths 4 How to Use Planet Maths Digital 7 Curriculum Strands Breakdown 10 Fortnightly Plans 11 Topics 1 Place Value 25 2 Operations 28 3 Data Multiplication D Shapes 37 6 Division Fractions Fractions Lines and Angles Decimals Problem-Solving Number Theory Multiplication Length Division Time Percentages Money Percentages Area Directed Numbers The Circle Rules and Properties Weight Number Sentences D Shapes Data Capacity Chance 109 Photocopiables 112 Pupil Record Sheets 166 Seasonal Assessments 169 Answers 181 Target Boards 223 Activity Sheets 236 Bridging Document 249 Appendices and Notes 266

4 Introduction Planet Maths is a creative new maths series that aims to provide children with challenging activities and enjoyable mathematical experiences to help them become confident mathematicians. It has been developed by a team of experienced primary teachers and maths consultants in accordance with the aims and objectives of the revised primary school curriculum. Curriculum strands, strand units and objectives are detailed throughout. The series underpins the key areas of: development and correct use of mathematical language real-life problem solving oral and mental maths estimation written computation integration with other subjects Mathematical Language Planet Maths lays emphasis on the child s understanding of the mathematical terminology and vocabulary associated with each topic covered. This is achieved through encouraging talk and discussion, a methodology which teachers can use to enhance children s mathematical language. The benefits from the use of this approach are many: stimulates interest in a new topic (see vocabulary and Pre-Page Ideas for each topic) allows children who may have reading difficulties to participate fully develops children s ability to express their thinking clearly promotes the skill of questioning facilitates different learning styles reinforces mathematical concepts helps the teacher to assess the level of the children s understanding Children s failure to understand mathematical vocabulary may manifest itself by: not answering questions not being able to carry out a task they are set not doing well in tests/assessments Oral and Mental Maths Oral and mental maths activities can support many features of children s mathematical learning. It should be a snappy, fun, daily activity and should last no more than ten minutes. It will help to practise and consolidate mental calculation skills, mathematical vocabulary and language of number. It will help children to build up speed and accuracy with number facts. It will draw on and revisit previous learning, to assess, review and strengthen children s previously acquired knowledge and skills. 4 Planet Maths Teacher Resources 5th Class

5 It will help them to interpret images, diagrams and symbols correctly. It will help the children to apply acquired knowledge, skills and understanding, to make informed choices and decisions, to predict and hypothesise, and to use deductive reasoning to eliminate or conclude. It will also serve as a very good form of assessment for the teacher in regards to facts about the four operations. Recommendation: Start every maths lessons with five/ten minutes of oral and mental activity. Vary the strategies provided in the book and differentiate for the different academic abilities within the class. All classes from Junior Infants to 6th class will benefit and the children s minds will become mathematically sharper. Problem-Solving Problem solving is an integral part of all mathematics learning. It should not be an isolated part of the curriculum but should involve all the strands. Good problems give students the chance to solidify and extend their knowledge and to stimulate new learning. The problems students encounter in Planet Maths are based on familiar experiences coming from students lives. Planet Maths encourages students to develop a range of strategies for solving problems, such as using diagrams, looking for patterns, or making organised lists. Differentiation This programme is designed so that as children work their way down the page of their textbook or satellite book, the activities become progressively harder. In the 3rd to 6th class books, a red line is drawn parallel to any mathematical question that would be regarded as particularly challenging to the mainstream of the class. In addition, this manual provides the teacher with photocopiables that may be used for differentiation. The pages headed Alternative Questions are practice worksheets for the weaker pupil and those requiring more practice, while Early Finishers worksheets are designed to challenge the more able pupil. Traffic Lights Planet Maths has included a small traffic light at the end of each page of the pupil s book. This enables the children to reflect on their work and their understanding of the topic. The students colour in the traffic lights depending on whether or not they understand the topic. This is an easy way for the teacher to see how the children feel they are doing and can assist those who may have difficulties. There is also a class set of traffic lights being supplied with the series so that each child can have their own set and, when used, you ll be able to see at a glance how your class is doing. Planet Maths Teacher Resources 5th Class 5

6 Planet Maths Components The Planet Maths programme for each level includes: A student book A student satellite activity book (for infants this is a numbers book) A teacher s resource folder Target boards and number fans for each level Digital resources to support the textbook content The teacher s resource folder includes term assessments and fortnightly planners The fortnightly planners are a useful aid for teachers when filling in their Cuntáis Miosuil. It is a detailed plan that consists of: strands strand units objectives the skills being developed resources needed mathematical language being developed differentiation methods of assessment linkages in maths and integration within the curriculum Each maths topic in the teacher s manual includes the following: lesson suggestions suggestions for using concrete materials and manipulatives warm-up activities oral and mental starters suggestions for differentiation ideas for parental involvement and maths at home this section enables teachers to give advice on how parents can become involved in helping their child with each maths topic linkage to other areas of maths and integration within other areas of the curriculum At the back of the manual, there is a selection of ready-made templates ranging from blank clock faces to notation boards, assessment sheets for Hallowe en, Christmas, Easter and summer, and photocopiables for differentiation. 6 Planet Maths Teacher Resources 5th Class

7 How to Use Planet Maths Digital Planet Maths Digital Planet Maths is the only Irish series to have a truly integrated digital element that supports and reinforces the student books. The Planet Maths digital resources are mapped to the textbook and designed for teacher-led, classroom use on an interactive whiteboard. Using a planet theme, they integrate bright graphics and a range of presentation styles, from animations to interactive games, to create an engaging digital experience. Using Planet Maths Digital Planet Maths digital resources can be accessed through the Planet Maths home page on Folens Online: The Planet Maths home page provides access to online menus for each class in the Planet Maths series. There are three menu themes: Space house for Infants Space town for 1st and 2nd class Solar system for 3rd to 6th class Each theme also uses an alien character that is used both on the menu and in the digital content: Winnie, Desmond and Mick. Strands Within each class menu, digital resources are grouped by strand, using the same colour coding applied in the textbook and visual graphics to blend with the menu theme. For example, the 3rd class Number strand uses a blue planet. Each strand is assigned a unique online menu that contains a range of digital resources designed for each strand unit and topic. Digital content in the strand menu is categorised by resource type. Planet Maths Teacher Resources 5th Class 7

8 Digital Resource Types Planet Maths uses five digital resource types: Activity As emanipulatives Video Clips Interactivities Weblinks Activity As Activity As are warm-up activities designed to gain attention and to support the introduction of a new mathematical topic. They use animation, audio and interaction to engage children and develop their understanding of each topic. Activity As can be accessed through both the Planet Maths website and the ebook on Folens Online. emanipulatives Each Planet Maths menu contains a toolkit of emanipulatives. These resources are reusable content designed to support mathematical learning. Each strand has a specific set of tools or emanipulatives, for example: The Early mathematical activities toolkit includes shapes and counters The Shape and Space toolkit includes tangrams, 2D and 3D shapes The Number toolkit includes number lines, place value blocks and fraction walls The Data toolkit includes dice and spinners The Measures toolkit includes clock faces and rulers The Algebra toolkit includes pattern blocks 8 Planet Maths Teacher Resources 5th Class

9 Video Clips Planet Maths provides a library of video clips on mathematical topics. Video content has been researched for appropriate curriculum mapping to class, strand and strand unit. The video clips also include support material, such as transcripts and teachers notes. Weblinks Planet Maths weblinks are a series of suggested websites and online mathematical resources that teachers can use in the classroom. Weblinks have been researched for appropriate curriculum mapping to class, strand and strand unit. Interactivities Interactivities are a series of digital activities that can be used in the classroom or by individual children. They are simple activities mapped to specific topics in the book, using a range of interaction methods from drag and drop and matching, to multiple-choice and fill-the-blank questions. Each interactivity includes an information panel providing curriculum details. Planet Maths Teacher Resources 5th Class 9

10 Curriculum Strands Breakdown Strand Number Strand Units Place value Operations Addition and subtraction Multiplication Division Fractions Decimals and percentages Number theory Algebra Directed numbers Rules and properties Variables Equations Shape and Space 2D shapes 3D shapes Lines and angles Measures Length Area Weight Capacity Time Money Data Representing and interpreting data Chance 10 Planet Maths Teacher Resources 5th Class