MATHS The Maths Carnival series is developed for pupils who go to CBSE-affiliated schools to help them achieve the learning outcomes of the latest national curriculum. Maths Carnival builds a strong foundation in pupils through the use of sound pedagogical principles. Adopting the popular Concrete Pictorial Abstract approach widely used in the Singapore mathematics curriculum, pupils are introduced to new concepts through concrete manipulatives and engaging pictorials before they are led to see their abstract symbolic representations. This allows pupils to have a deeper understanding of key mathematical concepts, thus motivating them to learn. BOOK 1
Content is clearly structured across the levels to ensure a gradual build-up and review of skills as pupils progress up the levels. At the same time, emphasis is given on developing pupils’ creativity, critical thinking and problem-solving skills.
2
The key features of the book are: ✔ Graduated content ensuring logical progression of learning ✔ Clear presentation of key mathematical concepts with solved examples ✔ Plenty of practice exercises ✔ Hands-on maths activities to promote peer interaction and collaborative learning ✔ Ample skill-based questions to develop various skills for applying mathematics in daily life ✔ Formative and Summative assessments mapped to learning outcomes ✔ Real-life application of mathematical concepts
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Sam Kee
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The Maths Carnival Book 1 comprises the following components: ✔ Student Book 1 ✔ Teacher’s Guide Book 1 – Contains lesson plans and wrap-around teacher’s notes, with additional information and tips on conducting and delivering effective Science lessons. ✔ Additional formative and summative assessments are available online for teachers only. ` 295
+ Empowering Minds • Improving Lives
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Sam Kee
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Published by Alston Publishing House Pte Ltd 745 Toa Payoh Lorong 5, #03-07, Singapore 319455 enquiry@alstonpublishinghouse.com www.alstonpublishinghouse.com Š 2017 Alston Publishing House Pte Ltd All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of the copyright owner. Distributed in India by Parle Book Centre Shop No. 6, Anant Co-Operative Society Ltd. D. J. Road,Vile Parle West Mumbai, Maharashtra 400056 India Tel: 022 2618 4082 Email: info@pbcdistributors.com First published 2017 ISBN 978-981-4573-51-1 Publisher: Sim Wee Chee Printed by Replika Press
MATHS
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Hello there ! Iâ&#x20AC;&#x2122;m Chuckles the Clown. Welcome to Maths Carnival. We are going to have a great time learning mathematics together. Maths Carnival is a place where sums are fun and math practice is like going on a roller coaster ride. So buckle up and get set to enjoy yourselves while you learn all about mathematics.
I am Twinkle.
I am Rinkle.
I am Bubbles. I am Jimbo.
My Name My School My Address
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PREFACE The Maths Carnival series is developed for pupils who go to CBSE-affiliated schools to help them achieve the learning outcomes of the latest national curriculum. Maths Carnival builds a strong foundation of the subject through the use of well-researched and sound pedagogical principles. Adopting the popular Concrete Pictorial Abstract approach widely used in the Singapore mathematics curriculum, pupils are introduced to new concepts through concrete manipulatives and engaging pictorials before they are led to see their abstract symbolic representations.This allows pupils to have a deeper understanding of key mathematical concepts, thus motivating them to learn. The formative and summative assessments allow for continual evaluation of pupils’understanding of concepts.These outcomebased exercises aim to test their understanding and application of mathematical concepts and related skills to solve real life problems.
Welcome to Maths Carnival! Here, learning mathematics has been made a joyful experience with hands-on activities and challenging exercises. Most activities have been designed on the theme of carnival. The different sections are indicated by the relevant signboards: • • • •
Learning Zone Practice Zone Skill Zone Recap Zone
• Testing Zone • Vocabulary Zone • Fun Zone
So, what are you waiting for? Let us enter the Maths Carnival.
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Your fun learning zones Here, you can learn the key concepts of mathematics with solved examples.
Here, you can learn the keywords of mathematics.
Here, you can apply what you have Refer to Teacher’s Guide TEACHER’S learnt to perform project for related Project work Work and CORNER creative activities that will enhance your problem solving skills. TEACHER’S CORNER
Here, you can practice questions on the concepts you have learnt.
Here, you can develop important 21st century skills & life skills. You can also solve higher order thinking questions.
Teachers will provide different activities in class to promote peer interaction and collaborative learning.
TEACHER’S CORNER
Here, you can recapitulate the key concepts and important points of the lesson.
Here, you can test yourself on the learnings acquired from the entire lesson.
Refer to Teacher’s Guide for related Activity
Refer to Teacher’s Guide for related Project Work
Teachers will provide fun and interesting projects for pupils to Refer to Teacher’s Guide TEACHER’S carry out. CORNER
for related Activity
Walkthrough Chapter Opener Introduces topics in a stimulating way with relevant questions provided to encourage active discussion
What Will You Learn?
Follow-up questions appear after the teaching of every new concept to provide immediate reinforcement of the lesson learnt
Contains key concepts of mathematics
Appears at the beginning of each chapter to state the focal points of the chapter
iv
Maths Carnival Book 1
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Excites pupils with fun and interesting details about the world around them
Contains questions based on mental calculation skills
Contains key mathematical terms
Provides the pupils with questions that encourages them to be good to others and to the things in their environment
Comprises higher-orderthinking questions for the pupils to apply what they have learnt. They promote 21st century skills as well as civic and moral values Carefully selected and gradated questions appear at the end of every as a Refer to section Teacher’s Guide TEACHER’S for related Project Work a means of practice to ensure CORNER gradual build-up of skills
TEACHER’S CORNER
Pupils will be given project assignments by teachers to perform in class or at home
TEACHER’S CORNER
Contains a summary of key concepts and mathematical terms to consolidate learning at the end of every chapter
TEACHER’S CORNER
Refer to Teacher’s Guide for related Project Work
Refer to Teacher’s Guide for related Activity
Refer to Teacher’s Guide for related Activity
Pupils will perform hands-on activities using manipulatives facilitated by teachers
v
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Table of Contents
Chapter 1:
Numbers ............................................... 7
Chapter 2:
More about Numbers ........................ 19
Chapter 3:
Addition ............................................... 33
Chapter 4:
Subtraction .......................................... 48
Chapter 5:
Multiplication ....................................... 62
Chapter 6:
Division ................................................. 76
Chapter 7:
Shapes and Patterns ........................... 86
Chapter 8:
Halves and Quarters ......................... 105
Chapter 9:
Measurement .................................... 115
Chapter 10: Time .................................................... 132 Chapter 11: Money ................................................ 144 Chapter 12: Data Handling ................................... 155 Formative Assessments ............................................ 168 Summative Assessments .......................................... 172
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1
Numbers Bubbles
Rinkle
Jimbo Twinkle
Chuckles
see? u o y o d s n w lo c y n a m How How many tents do you see? What Will You Learn? By the end of this lesson, you will be able to: ✔ count the number of objects in a collection ✔ recognise collection of objects corresponding to a specific number ✔ identify, read and write numbers and number names from 0 to 20 ✔ count objects by making groups of tens and ones ✔ recognise and count the number of tens and ones in a given number Chapter 1: Numbers
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Learning Zone
Numbers to 10
Count out loud the number of leaves below. How many are there?
There are 9 (nine) butterflies. 1 (one) more flies in. Now there are 10 butterflies. You can write 10 in words as ten. 1
2
3
4
5 10
one
two
three
four
five ten
10 six 6
seven eight nine 7 8 9
Practice Zone 1. Count and circle the correct numeral. 5
8
9
10
2. Fill in the blanks with the correct numeral and number name. a.
b. four
8
c. nine
d. 10
0
Maths Carnival Book 1
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Zero
Learning Zone
How many legs do these animals have?
1
5
2 3
4
Spider
8
7
6 Snake
The spider has 8 legs. The snake does not have to Teacher’s Guide TEACHER’S legs. You can say that it has 0 legs. YouforReferrelated can write Project Work CORNER 0 in words as zero. CH
TEACHER’S CORNER
Refer to Teacher’s Guide for related Activity
CH
1
Practice Zone Trace and complete the following grid.
0 0 0 Zero Zero Zero Numbers from 11 to 20
Learning Zone
First, make 10. Then count on.
1
2
3
6
7
8
10
4
5
9
10
11 eleven
You can write 11 in words as eleven. Look at the following.
11 12 twelve
10 Chapter 1: Numbers
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Count the objects and read out their number names.
11
13 thirteen
12
10
11
12
13
14 fourteen
10
11 12
13
14
15 fifteen
10
11
10 10
12
13
14
15
16 sixteen
Maths Carnival Book 1
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10
10
11
12
16
17 seventeen
11
12
16
17
11
10
16
12 17
13
13
14
14
15
15
18 eighteen
13 18
14
15
19 nineteen
11 12 13 14 15
10
16 17 18 19 20 twenty
Chapter 1: Numbers
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Practice Zone Make 10. Then count on. Write the numeral and the number name. a.
b.
c.
Learning Zone
Place Value â&#x20AC;&#x201C; Tens and Ones
Jimbo wants to count the number of cubes he has.
10
12
Tens
Ones
1
6
Maths Carnival Book 1
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10 ones make 1 ten.
Numbers with tens and ones are called two-digit numbers.
10
1 ten 6 ones is equal to 16. You can write ‘is equal to’ as ‘=’. So, 1 ten 6 ones = 16.
Tens
Here, there are 3 tens and 4 ones.
Ones
3 tens and 4 ones is equal to 34.
3
4
3 tens and 4 ones = 34
Practice Zone 1. Fill in the blanks. a. 10 and
make 12
e.
ten and 4 ones = 14
b. 10 and
make 15
f.
tens and
ones = 29
c. 10 and
make 16
g.
tens and
ones = 30
d. 10 and
make 17
h.
tens and
one = 31 Chapter 1: Numbers
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2. How many cubes are there? a.
Tens Ones
b.
Tens Ones
c.
Tens Ones
d.
Tens Ones
RECAP
Zone
✔ I can write the numeral and number name of a number. 5
Numeral
Five
Number name
✔ I can count up to 10. ✔ I know that the number name of 0 is zero. ✔ I can count objects by grouping them into tens and ones. 10
There are 11 (eleven) cubes. 14
Maths Carnival Book 1
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Vocabulary Zone Read these words aloud and discuss their meanings with your classmates: Numeral
Number name Counting
Place value
Brahmagupta was an Indian mathematician who used zero to calculate numbers. He used to put a dot under a number to say ‘zero’. This dot was called ‘shunya’, which means ‘empty’. ‘Zero’ means ‘nothing’.
Skill Zone
al Thinking Skills 21st Century Skills – Creative and Critic Higher Order Thinking Skills
Apply What You Know
1. Look at this alien. How many body parts does the alien have? a. Ears b. Eyes c. Legs d. Horns Use your imagination to draw an alien that has 4 ears, 5 eyes, 7 legs and 9 horns on an art sheet. Chapter 1: Numbers
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Mental Maths
2. Farmer Jones has some chickens and some ducks. Each of these animals has 2 legs. There are 20 legs altogether. He has 4 ducks. How many chickens does Farmer Jones have? Values in Action
How many potted plants do you have in your house?
Trees are our best friends. Plant one sapling every month in your school garden. Water your saplings daily.
Testing Zone 1. Count the objects. Write the numerals and their number names in the boxes. a. b.
16
Maths Carnival Book 1
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c.
2. Match the numerals with their number names. One has been done for you.
11
Nineteen
15
13
Seventeen
Thirteen
19
Fifteen
17
Eleven
3. Fill in the blanks with the missing numbers. 10, 11, 12, ___, 14, ___, ___, 17, ___, ___, 20 4. Fill in the blanks with the missing letters to complete the number names. a. O N___
c. F___V___
b. E I___H___E___N
d. T___ ___N___Y
e. Z___R___
Chapter 1: Numbers
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5. Draw to show how many are in each number. One has been done for you. a. Three b. Seven c. Twelve d. Sixteen
Fun Zone Look at the colour code below and colour the balloons. 6 1 2
4 4
6 5
3 4
Colour code One
Four
Two
Five
Three
18
Maths Carnival Book 1
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Six
TEACHER’S CORNER
Refer to Teacher’s Guide for related Project Work
CH
TEACHER’S CORNER
Refer to Teacher’s Guide for related Activity
CH
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MATHS The Maths Carnival series is developed for pupils who go to CBSE-affiliated schools to help them achieve the learning outcomes of the latest national curriculum. Maths Carnival builds a strong foundation in pupils through the use of sound pedagogical Pictorial Abstract approach widely used in principles. Adopting the popular Concrete the Singapore mathematics curriculum, pupils are introduced to new concepts through concrete manipulatives and engaging pictorials before they are led to see their abstract symbolic representations. This allows pupils to have a deeper understanding of key mathematical concepts, thus motivating them to learn. BOOK 1
Content is clearly structured across the levels to ensure a gradual build-up and review of skills as pupils progress up the levels. At the same time, emphasis is given on developing pupils’ creativity, critical thinking and problem-solving skills.
2
The key features of the book are: ✔ Graduated content ensuring logical progression of learning ✔ Clear presentation of key mathematical concepts with solved examples ✔ Plenty of practice exercises ✔ Hands-on maths activities to promote peer interaction and collaborative learning ✔ Ample skill-based questions to develop various skills for applying mathematics in daily life ✔ Formative and Summative assessments mapped to learning outcomes ✔ Real-life application of mathematical concepts
1
2
3
4
6
Sam Kee
5
7
8
3
The Maths Carnival Book 1 comprises the following components: ✔ Student Book 1 ✔ Teacher’s Guide Book 1 – Contains lesson plans and wrap-around teacher’s notes, with additional information and tips on conducting and delivering effective Science lessons. ✔ Additional formative and summative assessments are available online for teachers only. ` 295
+ Empowering Minds • Improving Lives
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Sam Kee
2/8/16 5:23 pm