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Grade 3 - Mathematics

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I BULLETIN OF THE INTERNATIONAL MATHEMATICAL UNION No

Raising of annual dues by 33 1/3 %

MATHEMATICS Teacher's Manual Grade 3

Grade 3

Papua New Guinea

Department of Education

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Papua New GuineaPapua New Guinea

Department of Education

Mathematics

Teacher's Manual

Issued free to schools by the Department of Education

First Edition

Published in 2019 by the Department of Education, Papua New Guinea. © Copyright 2019, Department of Education, Papua New Guinea. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted by any form or by any means of electronic, mechanical, photocopying, recording or otherwise without the prior written permission of the publisher.

ISBN 978-9980-905-17-8

Acknowledgements

The Grade 3 Mathematics Teacher's Manual was developed by the Curriculum Development Division in partnership with the Mathematics specialists from Japan through the Project for Improving the Quality of Mathematics and Science

Education also known as QUIS-ME Project.

and Central Provinces and the Subject Curriculum Group (SCG) are acknowledged for their contribution in writing, piloting and validating this teacher's manual. The Curriculum Panel members, members of the Subject Advisory Committee (SAC) and the Basic Education Board of Studies (BEBOS) are also acknowledged for their advice, recommendation and endorsement of this teacher's manual. A special acknowledgement is given to the People and the Government of Japan for the partnership and support in funding and expertise through Japan International Cooperation Agency (JICA) - QUIS-ME Project with

Curriculum Development Division (CDD).

Mathematics

Teacher"s Manual

Grade 3

Papua New Guinea

Department of Education

II

Table of Contents

Teacher"s Manual Mathematics Grade 3

Content Page Number

Table of Contents II

Secretary's Message III

How to use the Teacher's Manual IV

Unit 1. Addition and Subtraction 1 1

Unit 2. Addition and Subtraction 2 34

Unit 3. Multiplication 1 61

Unit 4. Multiplication 2 72

Unit 5. Thinking about How to Calculate 88

Unit 6. Duration and Time 91

Unit 7. Multiplication in Vertical Form 103

Unit 8. Division 119

Unit 9. Division with Remainders 135

Unit 10. Circles and Spheres 149

Unit 11. Large Numbers 163

Unit 12. Length 183

Unit 13. Triangles 197

Unit 14. Tables and Graphs 221

Unit 15. Multiplication of 2-digit Numbers 235

Unit 16. Weight 255

Unit 17. Fractions 275

Unit 18. Math Sentences Using the 289

Unit 19. Using Money in our life 299

Unit 20. Summary of Grade 3 309

Attachment

Teacher's Manual Development Committee

III

Secretary"s Message

Dear Teacher,

The Mathematics Teacher's Manual is produced for Grade 3 teachers to help and guide them to plan and teach the Mathematics lessons in line with the National Mathematics Textbook for Grade 3 students. The Textbook and Teacher's Manual were developed The Teacher's Manual is designed to achieve the implemented curriculum of the content standards outlined in the syllabus. It provides suitable teaching and learning content and concepts for the primary school teachers to promote and maintain standard lessons for The Teacher's Manual guides critical thinking and problem-solving approach in which you This Teacher's Manual introduces many new approaches for lessons with more mathematics It will help you to teach mathematics processes step by step with necessary information to new teaching approaches through careful reading and preparation of each lesson using this

Teacher's Manual.

You are encouraged to use the Teacher's Manual and Textbook with other relevant resources love mathematics. I commend this Teacher's Manual for Grade 3 Mathematics to be used with the National

Guinea.

IV The Teacher's Manual has been developed for teachers to teach learning contents to their students more effectively with the National Textbook. The features of this Teacher's Manual and its contents correspond to the National Mathematics Textbook according to Grades 3-5 Mathematics Syllabus. The standards outlined in the syllabus are reflected in this Teacher's Manual to help teachers plan and conduct lessons. The Prelimenary pages of the Teacher's Manual consists of the following 7 sections: How to Use Teacher's Manual, Lesson Presentation using TB and TM, How to use Blackboard plan, Assessment, Attachments, Yearly Overview and Mental Mathematics Skills. It is important for you to take time to read and understand how to use the Textbook and the Manual. The composition of the National Textbook consists of the following features.

Sample Textbook page

Chapter number Chapter title

Sub-Chapter

title

Task number

Activity

number

Slider mark

Students'

activity or

Problem

solving 3

Students' ideas

Textbook uses students' ideas for students to

think and reason mathematically. Basically, students learn using prior ideas to higher order thinking.

4. Activity Symbol

Some chapters have Ice breaking activity as

the lead up activity for chapter.

5. Fun with Mental Math!

26

The students can enjoy by filling in the boxes

with numbers where the answer equate to the page numbers. 2. Titles and Numbers

Each chapter consists of Chapter and Sub-

chapter titles with numbers. All problems in the textbook have Task and activities using numbers to indicate. We call

1 as task 1 and

1 as activity 1.

Introduction

1. Heading colours of the Textbook

Heading colour for each term changes to

assist teacher to recognise teaching periods.

Term 1 Term 3

Term 2 Term 4

Students'

ideas

Fun with

Mental Math

Priority

exercise Mark

Make sure teacher

give this exercise during lesson.

437+302

In order to use the Teacher's Manual effectively, it is important to understand the composition of the National Textbook.

1. How to use the Teacher's Manual

1.1 Composition of National Textbook

V "Necessary Competencies acquired through the use of textbook" Experimental mathematical activities such as "measure", "compare", "divide", "order", "touch", "pile up" and "throw" are contained in all grades. It is intended to develop the ability and skills to be able to solve various problems logically in daily life by considering many ways.

Mathematical Literacy

Activities f or improving reading, expression and comprehension abilities and skills are contained in relating f ormulas, letters and graphs. In addition, textbooks are designed in order to use acquired abilities and skills f or future learning content and daily life situations.

Structure of a Chapter in the Textbook

The structure in the Chapter consists of several Sub-Chapters, Tasks, Activities, Exercises and ends with a set of Exercise and Problems.

Exercise & Problems

Revison "Do you remember?"

Chapter

Sub- Chapter

Tasks

Activities Exercise

Additional information is

placed in some units to relate the content covered to cultural and social aspects of life. It helps the students to think mathematically in solving daily life situations.

Additional Information

At the end of each chapter, Exercises are set

for students to consolidate what has been learnt in a particular chapter. Page numbers indicating specific content found for each exercise is tagged beside each exercise.

The Problems are placed after each exercise

in each chapter. The problems are more advanced in order to enhance students higher order thinking skills for each chapter. It also guides students to apply what they have learnt.

This section of the textbook is purposely

for revision. Before moving into the next chapter, these set of exercises will enable students to reflect to the contents covered in the past and relate to the new chapter. This also promotes solidifying of previous content.

Exercise

& Problems The introduction page consist of two pages which introduces very important information and icons

allowing students and teachers to be familiar with what is expected to be encounted in the textbook. It

also has chapters learned from previous grade outlined carefully and a table of contents. It promotes sequences of learning to help teachers to plan and program effectively.

Parts of the Textbook

Textbook Introduction Page

34
Unit

26=×

Let"s remember the

additions in 2nd grade to think of how to do this.

Let"s think about how to add.

Addition of 3-digit Numbers1

For the party decoration, we made 215 paper rings

yesterday and 143 rings today.

How many paper rings

did we make altogether?

1 Write a math expression.

2 Approximately how many

paper rings is the answer?

3 Let's think about how to add three digit numbers.

1

Activity

Addition and Subtraction 2

2

Total number of paper rings made

Paper rings made yesterdayPaper rings made today

?Total mumber of paper rings made

Paper rings made yesterdayPaper rings made today

100s10s1s

Hundreds placeTens placeOnes place

100s10s1s

Hundreds placeTens placeOnes place

27-=

Yamo's idea

Calculate the addition vertically

like the addition of 2 digit numbers. Line up place values, then put in numbers accordingly.

2+1 for the sets

of 100s. 1+4 for the sets of 10s. 5+3 for the ones.

Vertically line up the numbers

according to their place values.1+4=55+3=82+1=3quotesdbs_dbs47.pdfusesText_47
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