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A COMPLETE MATHS PROGRAMME FOR PR IMARY SCHOOLS
Sue-Anne Synnott
3rd
A COMPLETE MATHS PROGRAMMEFOR PRIMARY SCHOOLS
folensonline.ieP
LAN
ET
MA
TH
S 3
RD C
LAS
S
Planet Maths incorporates the best methodology for teaching mathematics and problem solving, with new features such as Real Life Maths sections, integrated digital resources and differentiated material to motivate every child.
Main features include:
Real Life Maths visible throughout the series
Problem Solving units and emphasis on pair and group work
Digital Activities for classroom use
Differentiation catered for all levels of ability
Self Assessment incorporating traffic light system
Curriculum Objectives listed in pupil book
This programme reflects the latest teaching methods in Primary and Post Primary education.
Also available for this programme:
• Satellite activity books to complement each title
• Updateable Teachers Resource Books
• A range of classroom ancillary material
• Teacher’s eBooks and integrated digital resources on www.folensonline.ie
A COMPLETE MATHS PROGRAMME FOR PRIMARY SCHOOLS
Sue-Anne Synnott
Author: Sue-Anne Synnott
Editor: Donna Garvin
Design: Liz White Designs
Layout: Niamh Carey, Liz White Designs
Cover Design: Marian Purcell
Cover Illustrations: Brian Fitzgerald, Jeremiah McAuliffe
Illustrators: Pip Sampson (GCI), James Walmesley (GCI)
Photographs: Alamy, Thinkstock, iStock, Inpho, Sportsfile, Dreamstime, Photocall Ireland
ISBN: 978-1-84741-782-4
© Folens Publishers, 2011
First published in 2011 by: Folens Publishers, Hibernian Industrial Estate, Greenhills Road, Tallaght, Dublin 24.
Produced in Ireland by Folens Publishers.
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.
iiiIntroduction for Parents and Teachers
Planet Maths is a series of Maths textbooks, activity books and corresponding teacher’s manuals for Junior Infants to 6th Class. It is in line with the Revised Primary Curriculum and has been written by primary school teachers. Curriculum Strands, Strand Units and Objectives are detailed throughout.
Planet Maths has been designed to provide students with challenging activities and enjoyable mathematical experiences to help them become confident mathematicians. Pupils using Planet Maths will experience mathematical learning through the following approach:
• Learning the new maths skills associated with a topic with the aid of explanation boxes and/or worked examples that introduce each new concept or operation;
• Practising and reinforcing new skills through drills and repetition, while also providing as much variety and stimulation as possible;• Exploring and applying their skills in ‘real life’ contexts and situations that are relevant, fun and stimulating to young minds.
‘Real life’ themed maths featuresThere are seven two-page ‘real life’ themed maths features spread throughout the 3rd to 6th Class textbooks. They are designed to bring Maths to life, making it more engaging for students by enabling them to use their skills in contexts that are refreshing, relevant and interesting to them. Each ‘real life’ feature uses the skills and knowledge that pupils have acquired in the preceding units.
Warm-Up ActivitiesA warm-up activity appears at the beginning of every new topic along with the instruction, ‘Listen to your teacher’. These game-like activities open each unit of the senior textbooks and are led by the teacher with directions from the accompanying teacher’s manual. Because they are conducted at the start of each unit, these activities provide a mental warm-up for students, preparing them to learn by focusing their attention on the teacher. Warm-up activities are based on the concepts and operations relevant to the topic.
Pair and Group WorkThe series recognises the value of collaborative learning and ample opportunities are provided throughout the textbooks for both pair work and group work. Maths puzzles suited to pairs, straightforward group activities and oral activities such as ‘pretend you are the teacher’ are used in the series.
Differentiation To promote ease of differentiation, a red line appears beside a selection of problems and sums in the 3rd to 6th Class textbooks that could prove more challenging for many pupils. Additionally, the 3rd to 6th Class textbooks contain Challenge Yourself problems designed to provide early finishers with extra stimulus and reward, and to assist with differentiation.
Self-AssessmentSelf-assessment is strong feature of the series. Pupils are encouraged to rate their own performance and understanding of a topic through the use of a traffic light system at the end of every page in each topic. Students can assess their performance at the end – red for difficultly, amber for improvement and green for full understanding.
Check Up Activities Each topic unit concludes with a page of concise check up activities designed to reinforce learning. Check ups include oral, operational, problem-solving and shared activities based on the topic at hand. Oral activities reinforce communicating and expressing as a mathematical skill, and vocabulary-based exercises assess the pupil’s understanding of the mathematical language used in the unit.
Mental MathsSeven dedicated Mental Maths units are placed strategically throughout the 3rd to 6th Class textbooks, with each one including a Multiple Choice component. Each section in Mental Maths contains a score box for pupils to rate their performance. This will encourage them to collaborate in their own progress and to recognise areas where more effort and assistance is needed.
The Teacher’s Manual accompanying this textbook includes:
• A guide providing comprehensive suggestions on how to make the best use of this series.• Oral and mental maths activity suggestions.• Maths language relevant to each topic.• Suggestions for using concrete materials and manipulatives.• Photocopiable activities for differentiation and extension exercises.• Photocopiable templates for practice and repetition of fundamental concepts.• Answers.• Assessment sheets.• Individual student profile sheets.• Class record sheets.
The activity books in the series contain supplementary and differentiation activities. Interactive activities for this series can also be found at: www.folensonline.ie.
iv Contents
Let’s Look Back ...............................................5
1 Place Value ............................................8
2 Addition ...............................................13
3 Time ....................................................18
4 Lines and Angles ...................................23
Maths in a Stadium! ......................................28
Mental Maths 1.............................................30
5 Super Subtraction ..................................32
6 Fantastic Fractions .................................37
7 Groovy Graphs ......................................42
8 Mighty Multiplication ............................47
Fright Night ...................................................52
Mental Maths 2.............................................54
9 Division ................................................56
10 Deadly Decimals ...................................61
11 Money ..................................................66
12 Problem Solving ....................................71
Day at the Funfair! ........................................76
Mental Maths 3.............................................78
13 Length ...................................................80
14 Multiplication 2 .....................................85
15 Division 2 ..............................................90
16 Chance .................................................95
Marvin the Great! .......................................100
Mental Maths 4...........................................102
17 Fractions 2 ..........................................104
18 Multiplication 3 ...................................109
19 Weight ................................................114
20 2D Shapes ...........................................119
Emma’s Kitchen ..........................................124
Mental Maths 5...........................................126
21 Number Patterns and Sequences .........128
22 Symmetry ............................................133
23 Area ....................................................138
24 Division 3 ............................................143
The Playground ..........................................148
Mental Maths 6...........................................150
25 3D Shapes ...........................................152
26 Capacity ..............................................157
27 Time 2 ................................................162
Revision ......................................................167
The All Stars Circus .....................................170
Mental Maths 7...........................................172
Glossary ......................................................174
Tables .........................................................176
Warm-up. Listen to your teacher. Adding and subtracting. 1. 5 + 9 = ___
5. 10 – 6 = ___
2. 8 + 8 = ___
6. 16 – 4 = ___
3. 8 + 6 + 4 = ___
7. 19 – 7 = ___
4. 5 + 9 + 4 = ___
8. 20 – 5 = ___
Revision
Obj
ectiv
es
Strand UnitStrand All
All
5Let’s Look Back
In a Magic Square every line must add to the magic number: across, down and from corner to corner.
54
7The magic number is 12
8 6
415
The magic number is
31 4 4
9The magic number is
What numbers are shown in the notation boards below?
T U T U T U T U 1. 2. 3. 4.
Write the nearest ten to these numbers. Example: 34 is nearest to 30.
1. 29
4. 75
7. 9
2. 57
5. 91
8. 87
3. 24
6. 63
9. 35
B
C
A
Write these numbers in numerals.
1. Sixty-four
2. Thirty-four
3. Ninety-seven
4. Fifty-nine
D E
Strand UnitStrandRevision
Obj
ectiv
es6
All
All
Let’s Look Back
1. What time is it? (a) (b) (c) (d) (e)
2. Draw hands on clocks to show each time.
What fraction of each shape is shaded?
1. 4.2. 3.
Name these 2D shapes (e.g. square, circle, oval, triangle, rectangle).
__________ __________ __________ __________ __________
1. 2. 3. 4. 5.
How much money does each purse contain?
What coins would you need to make the following amounts?
(a) 40c (b) 25c (c) 60c (d) 32c (e) 53c
A
B
C
D
E
(a) 12 past 8 (b) 7 o’clock (c) 1
4 to 4 (d) 14 past 11 (e) 1
4 to 12
Strand UnitStrandRevision
Obj
ectiv
es All
All
7Let’s Look Back
Adding and subtracting.
1. T U 2. T U 3. T U 4. T U 5. T U 6. T U 7. T U 8. T U6 8
+ 3 15 2
+ 2 56 6
+ 2 41 7
+ 4 96 5
– 1 45 8
– 1 59 2
– 5 34 2
– 1 7
9. 45 + 63 = ___
12. 85 + 13 = ___
10. 47 – 15 = ___
13. 19 + 72 = ___
11. 9 + 64 = ___
14. 91 + 41 = ___
Back to school. 1. Mr Murphy sold 34 Maths books on Saturday and 27 on Sunday.
How many did he sell altogether over the weekend?
2. What time is it on the clock above?
3. What fraction of the clock is green?
4. Sophia’s mum bought a pencil case for 60c. What 2 coins did she use to pay for it?
5. Laura bought 2 packets of colouring pencils. If there were 24 pencils in each packet, how many colouring pencils did she have altogether?
6. All schools go back in September. How many months are there from then until the end of the year?
7. 84 people went into Mr Murphy’s shop on Saturday and 56 went in on Sunday. How many more people were in the shop on Saturday?
8. If Mr Murphy opens his shop for 8 hours each day of the week, for how many hours is the shop open each week?
A
B
Warm-up. Listen to your teacher.
Every digit has a value. You know a digit’s value by its position within a number.
2 has the highest value. It is worth two hundred or 200.
7 has the second highest value. It is worth _ _ _ _ _ _ _ or 70.
5 has the lowest value. It is worth _ _ _ _ or _.
Strand UnitStrand3001 Explore and identify place value in whole numbers,
0–999.
Obj
ectiv
es8
Number
Place Value
1 Place Value
Write the values of these notation boards.
T UT U T U
Draw the numbers on the notation boards.
T U
37
T U
19
T U
48
How many tens and units?
1. 35 = ___ tens + ___ units
2. 52 = ___ tens + ___ units
3. 17 = ___ ten + ___ units
4. 55 = ___ tens + ___ units
5. 91 = ___ tens + ___ unit
B
C
A
H T U
2 7 5
My goal is t
o know the
value of a
digit within
a two-digit
number.
D Write the value of the underlined numeral? (E.g. 45 = 5)
1. 47
5. 47
9. 67
13. 76
2. 92
6. 46
10. 90
14. 18
3. 63
7. 81
11. 82
15. 94
4. 68
8. 47
12. 35
16. 61
E
Strand UnitStrand3002 Read, write and order three digit numbers.
Obj
ectiv
es Number
Place Value
9Topic 1: Place Value
1. Write the number where 5 has the highest value.
(a) 251 527 385 (b) 356 975 541
2. Write the number where 2 has the lowest value.
(a) 248 582 921 (b) 562 120 239
What is the value of the underlined number? (E.g. 325 = 2 tens or 20) 1. 345
7. 256
13. 164
19. 812
2. 712
8. 209
14. 257
20. 462
3. 375
9. 471
15. 941
21. 172
4. 134
10. 210
16. 594
22. 362
5. 945
11. 789
17. 205
23. 791
6. 376
12. 390
18. 600
24. 674
What is the greatest number you can make for each set of numerals?
Listen to your teacher. Play the Waddle and Slide game.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
A
B
C
DIf you get the wronganswer slide back2 places!
Example5625 Hundreds
or 5002 Units
or 2
6 Tens or 60
If you get the correctanswer waddle forward5 places!
4 2
75
9
13
0
7
456
8 0
5
8 91
Strand UnitStrand3002 Round whole numbers to the nearest ten.
Obj
ectiv
es10
Number
Place Value
Topic 1: Place Value
Place the following numbers in order starting with the highest. 1. 45, 67, 17 67, 45, 17
4. 573, 245, 572, 356
7. 134, 34, 267
2. 89, 21, 20
5. 98, 4, 67
8. 200, 222, 202, 2001
3. 90, 50, 120
6. 12, 56, 65
9. 91, 41, 19, 107
Write how many hundreds, tens and units are in each of these numbers. 1. 156 = 1 hundred, 5 tens and 6 units
3. 672 = ___ hundreds, ___ tens, ___ units
5. 906 = ___ hundreds, ___ tens, ___ units
7. 840 = ___ hundreds, ___ tens, ___ units
2. 345 = ___ hundreds, ___ tens, ___ units
4. 251 = ___ hundreds, ___ tens, ___ unit
6. 524 = ___ hundreds, ___ tens, ___ units
8. 122 = ___ hundred, ___ tens, ___ units
Answer the questions.
1.
2.
3. In the number 567, what digit is in the tens place?
4. In the number 562, the five is in the ___ place.
5.
6. Write the number: six hundred and thirty-six.
7. In the number 789, which digit has the greatest value?
8. What is the value of the eight in the number 845?
9. Write the number: nine hundred and two.
Rounding to the nearest ten1 2 3 4 5 6 7 8 9
Round down Round up
1 Round down 61 becomes 60 5 Round up 85 becomes 902 Round down 32 becomes ___ 6 Round up 76 becomes ___
3 Round down 53 becomes 50 7 Round up 27 becomes ___
4 Round down 84 becomes ___ 8 Round up 18 becomes ___
9 Round up 9 becomes ___
Round each of these numbers to the nearest ten. 1. 12
8. 45
2. 23
9. 111
3. 39
10. 248
4. 48
11. 427
5. 52
12. 315
6. 64
13. 619
7. 47
14. 737
A
B
C
D
What’s the greatest number that you can make using the digits 9, 5 and 1?
Which number is greater, 761 or 999?
What’s the least number you can make using the digits 9,7 and 4?
Strand UnitStrand3002 Round whole numbers up to the nearest ten or
hundred.
Obj
ectiv
es Number
Place Value
11Topic 1: Place Value
Rounding to the nearest hundred 50 Round up 350 rounds ___ to 40010 Round down 112 rounds down to 100 60 Round up 268 rounds ___ to ___
20 Round down 325 rounds down to 300 70 Round up 576 rounds ___ to ___
30 Round down 234 rounds down to 200 80 Round up 182 rounds up to ___
40 Round down 548 rounds down to ___ 90 Round up 97 rounds up to ___
Round each of the following numbers the nearest hundred. 1. 104
6. 155
11. 797
16. 620
2. 198
7. 202
12. 256
17. 70
3. 143
8. 289
13. 526
18. 159
4. 145
9. 360
14. 817
19. 913
5. 172
10. 450
15. 369
20. 279
Round each fish to the nearest hundred. Then match each fish to the correct penguin.
Mystery number. What number am I?1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
1. I am between 15 and 20. I’m an odd number. I’m closer to 15 than 20.
2. I am an even number. I round down to ten. I am not the answer to the sum 7+7.
3. I am an odd number. I round up to 10. I only have one digit. I am 5 more than 4.
4. I round to twenty. I am even. My first digit is the same as my second digit.
Answer the questions. 1. Marco was given €100 for Christmas. He wants to buy DVDs
in a sale. Each DVD costs €8.99. How many can he buy?
2. Shane’s sticker album has 100 pages. Each page holds 10 stickers. If Shane gets 9 stickers in a pack each week, after 6 weeks, approximately how many pages of his sticker book will be filled?
A
B
C
D
Place the following numbers in order starting with the highest. 3. 90, 50, 120
6. 12, 56, 65
9. 91, 41, 19, 107
Write how many hundreds, tens and units are in each of these numbers.
Answer the questions.
1. What’s the biggest number that you can make using the digits 9, 5 and 1?
2. Which number is bigger, 761 or 999?
3. In the number 567, what digit is in the tens place?
4. In the number 562, the five is in the ___ place.
5. What’s the smallest number you can make using the digits 9,7 and 4?
6. Write the number: six hundred and thirty-six.
7. In the number 789, which digit has the greatest value?
8. What is the value of the eight in the number 845?
9. Write the number: nine hundred and two.
Rounding to the nearest ten
1 Round down 61 becomes 60 5 Round up 85 becomes 902 Round down 32 becomes ___ 6 Round up 76 becomes ___
3 Round down 53 becomes 50 7 Round up 27 becomes ___
4 Round down 84 becomes ___ 8 Round up 18 becomes ___
9 Round up 9 becomes ___
Round each of these numbers to the nearest ten.
900
341138
551
210
875
100
300
600
200
Pair work
Explain it! Using cubes and the place value mat, discuss and explain place value.
Do it! 1. (a) 45 = __ tens, __ units
(c) 235 = __ hundreds, __ tens, __ units
(b) 78 = __ tens, __ units
(d) 708 = __ hundreds, __ tens, __ units 2. What is the value of the underlined number?
(a) 34 (b) 89 (c) 134 (d) 546 (e) 943
3. What is the largest number you can make with the following digits?
(a) 9 3 4 (b) 1 4 2 (c) 4 1 6 (d) 0 7 1 (e) 2 5 1
4. Put the following numbers in order starting with the smallest.
(a) 127, 87, 692, 507 (b) 701, 452, 89, 387 (c) 451, 39, 647, 3
5. Round the following to the nearest ten.
(a) 28 (b) 42 (c) 94 (d) 65 (e) 12
6. Round the following to the nearest hundred.
(a) 123 (b) 645 (c) 789 (d) 250 (e) 517
Solve it! Make up your own place value puzzle or questions, then swap with a partner.
Say it!
1. 742 is the _ _ _ _ _ _ _ number you can make with these digits: 2, 7 and 4.
2. 67 _ _ _ _ _ _ _ to the nearest ten is 70.
3. The 4 in 43 is 4 _ _ _ _.
4. 578 rounded to the _ _ _ _ _ _ _ hundred is 600.
Share it! These are the numbers that Clodagh, Naomi, Maria, Ciara and Sinéad wore when they ran in a marathon. Each of the 999 runners in the marathon wore a different number. The first person to sign in for the race got number 1 and the last person to sign in got number 999. Can you work out each girl’s number using the following clues?• Clodagh had the lowest number.
• The digit in the tens place on Ciara’s shirt is one more than the digit in the tens place on Clodagh’s shirt.
•Maria was last to sign in for the race.
• Sinéad and Ciara’s numbers were closest to each other in line.
• Naomi’s number is lower than Ciara’s.
A
C
D
E
B
121
Check Up!
l
r
n
s
472
568
552
954
347
Warm-up. Listen to your teacher.
Strand UnitStrand•305aAddwithoutrenamingwithin999.
•306aToknowandrecalladditionfacts.
Obj
ectiv
es Number
Operations
13My goa
l is to add numbers
to more tha
n 100. 2 Addition
Warm up. 1. 3 + 6 = ___
5. 6 + 6 = ___
9. 9 + 6 = ___
13. 8 + 3 = ___
17. 9 + 3 = ___
2. 3 + 3 = ___
6. 5 + 5 = ___
10. 7 + 7 = ___
14. 9 + 9 = ___
18. 10 + 10 = ___
3. 4 + 4 = ___
7. 7 + 8 = ___
11. 5 + 7 = ___
15. 9 + 4 = ___
19. 11 + 11 = ___
4. 4 + 4 = ___
8. 6 + 6 = ___
12. 8 + 8 = ___
16. 8 + 5 = ___
20. 12 + 12 = ___
Complete the Magic Squares so that each vertical, horizontal and diagonal line add to the same number.
9 4 5
2 10
8
5
6
7 2
10
7 11
4
6
5
8 10
10
0 16
14
8 4 0
3 7
1.
4.
2.
5.
3.
6.
B
C
A
21. 4 + 6 + 8 = ___
24. 4 + 5 + 7 = ___
22. 4 + 5 + 2 = ___
25. 6 + 9 + 7 = ___
23. 3 + 8 + 4 = ___
26. 2 + 6 + 8 = ___
8
8
96
7
75
5
5911
11
12 12
10 10
black beige red
orange pink geen
purp
le
blue
yellow turquoise brow
n navy
violet cream gr
ey
whi
te
Strand UnitStrand305a Add with and without renaming within 999.
Obj
ectiv
es14
Number
Operations
Topic 2: Addition
Adding tens and units.
1. T U 2. T U 3. T U 4. T U 5. T U 6. T U 7. T U 8. T U4 8
+ 2 13 5
+ 3 42 6
+ 4 33 8
+ 1 54 7
+ 2 75 3
+ 2 7 6 5
+ 3 4 1 3
+ 8 1
9. T U 10. T U 11. T U 12. T U 13. T U 14. T U 15. T U 16. T U1 5 2 3
+ 1 8
2 63 1
+ 3 4
1 82 6
+ 3 8
2 81 3
+ 2 6
3 91 6
+ 4 4
1 61 8
+ 4 9
56 7
+ 1 1
2 43 1
+ 4 3
Answer the questions.
1. The children have counted the books they have read. How many books altogether have been read by the three classes?
2. The principal treated the children in 1st, 2nd and 3rd classes to an apple each. How many apples did she buy if she also bought one for herself and the teachers?
Adding above 100. Estimate and then add the following.
1. H T U 2. H T U 3. H T U 4. H T U 5. H T U5 6
+ 7 38 2
+ 3 67 3
+ 6 89 4
+ 5 63 1
+ 8 9
6. H T U 7. H T U 8. H T U 9. H T U 10. H T U2 83 8
+ 4 8
5 97 3
+ 4 7
5 85 2
+ 8 0
6 9 7
+ 4 6
4 5 6 3+ 3 9
11. Gina had 27 photos, Tina had 36 photos and Mena had 41 photos. How many photos have they altogether?
13. 63 + 97 + 4 = ___
12. How many pages are in three books if each book has 76 pages?
14. 82 + 17 + 77 = ___
A
B
C
H T U8 7
+ 5 61 4 3
Example
1
Rang a Dó
Rang a Trí
Rang a hAon
27 pupils
29 pupils 25 pupils
33 books 31 books 35 books
1
Strand UnitStrand305a Add with and without renaming within 999.
Obj
ectiv
es Number
Operations
15Topic 3: Addition
Adding hundreds. Estimate and then add.
1. H T U 2. H T U 3. H T U 4. H T U 5. H T U1 5 3
+ 2 8 62 4 0
+ 1 8 33 5 7
+ 4 2 61 5 9
+ 5 5 02 3 8
+ 2 9 4
6. H T U 7. H T U 8. H T U 9. H T U 10. H T U1 7 6
+ 3 3 53 2 8
+ 3 8 84 1 4
+ 4 9 65 1 5
+ 2 8 54 2 5
+ 1 3 2
11. Captain Jack has been counting his treasure.
(a) How many coins has he?
(b) How many jewels has he?
12. H T U 13. H T U 14. H T U1 3 5 2 0 8
+ 1 4 6
2 1 6 1 8 1
+ 3 4 1
2 4 7 1 9 3
+ 1 5 6
Match the answers to the correct colour bulbs.
368 + 159 + 208 = 735
215 + 318 + 147 = ___
127 + 176 + 199 = ___
108 + 147 + 184 = ___
413 + 73 + 265 = ___
213 + 507 + 225 = ___
147 + 258 + 469 = ___
A
B
H T U3 9 6
+ 5 4 29 3 8
Example
1
1 4 8 2 7 3 5 0 6 52 5 6 8 0 7 4 5 6 35 2 0 6 2 0 5 0 2 33 4 3 9 5 8 4 2 4 90 8 6 2 3 4 7 7 5 12 3 5 7 9 4 5 3 7 22 2 8 7 4 8 4 7 3 6
158 gold coins
257 silver coins
394 pearls
78 rubies
Strand UnitStrand307a Solve word problems involving addition.
Obj
ectiv
es16
Number
Operations
Topic 2: Addition
Round each number to the nearest ten and add.
37 + 62 + 11 40 + 60 + 10 = 110Example
1. 31 + 35 = ___
4. 47 + 54 = ___
7. 13 + 54 + 69 = ___
2. 41 + 81 = ___
5. 62 + 88 = ___
8. 46 + 36 + 88 = ___
3. 58 + 68 = ___
6. 89 + 75 = ___
9. 95 + 56 + 45 = ___
Round each number to the nearest 100 and add.
Example: 260 + 320 + 188 300 + 300 + 200 = 800
1. 460 + 320 = ___
3. 710 + 66 = ___
5. 85 + 185 = ___
2. 180 + 280 = ___
4. 801 + 141 = ___
6. 287 + 287 = ___ 7. 123 + 227 + 368 = ___
Number puzzle
1. Find two green numbers that add to 30.
2. Find two blue numbers that add to 90.
3. Find the numbers on the square to finish the sum.
(a) 20 = 11 + ___ (b) 40 = 9 + ___ (c) 60 = 47 + ___
4. Find a blue and a green number that add to:
(a) 20 (b) 50 (c) 30 (d) 40 (e) 60
5. (a) List all of the even numbers in the square.
(b) What is the total of the even numbers?
More than
1. Amy has 60 cards. Ben has 15 more than Amy. (a) How many cards has Ben? (b) How many cards have they altogether? 2. Con has 80c. Natalie has 20c more than Con. (a) How much has Natalie? (b) How much have they altogether? 3. Mr T sent 260 text messages last year. Mrs T sent 55 text more than that.
How many text messages did they send altogether?
A
B
C
D
Round 837 to the nearest ten.837 is rounded to 800.
400850800
Example
2 39 11 24
27 43 6 13
47 5 35 25
18 31 48 9
Explain it!
Little Johnny has lost his memory. Can you help him to understand what addition is? Use cubes to help you!
Do it! 1. 7 + 11 = ___ 2. 9 + 8 = ___ 3. 3 + 7 + 10 = ___ 4. 12 + 35 + 22 = ___
5. 5 6 + 2 3
6. 3 8 + 6 1
7. 5 8 + 3 7
8. 2 5 + 5 5
9. 2 31 4
+ 2 6
10. 3 51 1
+ 2 7
11. 1 4 6 1 7 3
+ 2 6 7
12. 5 6 7 2 4 5
+ 1 2 3
13. Round to the nearest 10 and add.
(a) 34 + 67 (b) 65 + 16
14. Round to the nearest 100 and add.
(a) 460 + 270 (b) 385 + 270
Solve it! 1. Laura read 16 pages of her book on Monday night, 15 on Tuesday and 27 on
Wednesday. How many pages did she read altogether over the three days?
2. Jane was in school 167 days this year, Sarah was in 22 more days than her. For how many days was Sarah in school?
3. Emily has 356 stickers in her sticker collection. Her brother has 89 more than her. How many stickers does her brother have?
4. Jimmy owns a farm. He has 145 sheep, 45 chickens, 8 pigs, 15 horses and 167 cows. How many animals has he altogether?
Say it!
Write an addition word problem for the following words:
add more than altogether total
Share it! Using any number as many times as you want, make each line add to make 20.
Can you find more than one way to do it? Make up your own puzzle!
A
C
D
E
B
172
Check Up!
(c) 14 + 59 (d) 49 + 37
(c) 135 + 504 (d) 642 + 201
14 3
94
Warm-up. Listen to your teacher.
What time is it Mr Wolf?
Strand UnitStrand•355.5Consolidateanddevelopfurthersenseofpassingtime.
•345Readtimeinfive-minuteintervalsonanalogueclocks.
Obj
ectiv
es18
Measures
Time
3 Time
C
B
5 minutes past10 minutes past
14 past
20 minutes past
25 minutes pastHalf past
Minutes past
There are 5 minutes between each number on the face of a clock
Write the time to the nearest five minutes.1. 2. 3.
4. 5. 6.
Listen to your teacher. Play the Human Clock game.
How many minutes are in one hour?
How many seconds are in one minute?
How many minutes are in two hours?
How many seconds are in 3 minutes?
How many hours are in one day?
How many days are in one leap year?
The ‘minutes to’ side
The ‘minutes past’ side
A clock is split into two sides.
1. (a) What fraction of this shape is shaded? Is it 1
4 or 12? ___
(b) When the big hand points here, is it 1
2 or 14 past?
2. (a) What fraction of thisshape is shaded? Is it 1
4 or 12? ___
(b) When the big hand points here, is it 1
2 or 14 past?
3. What fraction of this
Is it 14 or 1
2? ___
My goal is t
o tell the
time to the nearest
f ve minutes.
D
E
A
shape is shaded?
Strand UnitStrand•356Readtimeinfive-minuteintervalsonanalogue
clocks.•358Recordtimeinanalogueform.O
bjec
tives Measures
Time
19Topic 4: Time
Write the times.
1. 2. 3. 4. 5.
10.6. 7. 8. 9.
Draw clock faces to show the times. 1. 20 past 6
6. 12 past 2
2. 10 past 6
7. 20 past 7
3. 25 past 8
8. 14 past 11
4. 14 past 7
9. 25 past 12
5. 20 past 4
10. 10 past 8
A
B
Write the times.1. 2. 3.
What time comes ten minutes before and after these times?
1. 3 o’clock (a) 10 to 3 (b) 10 past 3
2. 10 past 5 (a) ___ (b) ___
3. 20 to 11 (a) ___ (b) ___
4. 14 past 8 (a) ___ (b) ___
5. 12 past 6 (a) ___ (b) ___
C
D
___
___
___
___
___
___
___
___
___
___
4. 8. 9.
___ ___ ___
___ ___ ___
Minutes to5 minutes to
10 minutes to
20 minutes to
25 minutes to
14 to
Strand UnitStrand•356Readtimeinfive-minuteintervalsondigitalclocks.
•358Recordtimeindigitalform.
Obj
ectiv
es20
Measures
Time
Topic 3: Time
The digital clockOn a digital clock, the day begins at 00:00 (midnight).
The number of hours that have passed since midnight.
The number of minutes after the hour.6 10
Write the digital times. One is done for you.
1. 1 o’clock = 1:00
4. 14 past 8 = ___:15
7. 14 past 9 = 9:___
2. 5 past 4 = ___:05
5. 20 past 6 = 6:___
8. 25 to 5 = ___:35
3. 10 past 3 = 3:___
6. 25 past 2 = ___:25
9. 20 to 11 = 10:___
Write each of the following in digital time. One is done for you.
1. 5 past 6 = 6:05
4. 12 past 10 = ___
7. 25 past 2 = ___
2. 10 to 3 = ___
5. 12 past 5 = ___
8. 14 to 7 = ___
3. 20 past 11 = ___
6. 25 to 6 = ___
9. 20 past 8 = ___
Which is the correct digital time?
4:00 11:00 7:30 5:30 3:00 7:30 5:00 5:30 9:00
1. 2. 3.
___ ___ ___
Show the same time on both clocks.
11 10
1. 2.
7 20
3. 4.
A
B
C
D
Strand UnitStrand360 Solve and complete practical tasks and problems
involving times and dates.
Obj
ectiv
es Measures
Time
21Topic 3: Time
In the zoo
1. What time does Paul’s party start?
2. Is the party in the morning or the afternoon?
3. Where is Paul’s party?
4. How long will Paul’s party last?
5. If it takes 15 minutes to get to the zoo from Paul’s house, what time will they arrive at the zoo?
6. Remembering that it takes 15 minutes to get to and from the zoo, how long will they spend in the zoo if they get back to Paul’s house at 5:30?
7. What animals would you like to visit if you went to the zoo? Put them in order with your favourite first?
8. How much would it cost for 5 children and 2 adults to get into the zoo?
Answer the questions.
1. A football match started at 11:10am. It lasted for 35 minutes. What time did it end?
2. During a test, Max answered one question every 5 minutes. How long did it take him to answer 10 questions?
3. Hannah baked a birthday cake for her mum. She put the cake into the oven at 2:30 and left it to cook for 40 minutes. What time was it when she took out the cake?
1. Eva runs one lap of the school track in 4 minutes. How long will it take her to run 3 laps?
2. If Jason runs a lap 2 minutes faster than Eva, by how many minutes will Jason beat Eva?
3. One day, Eva, Jason and their classmate Sarah decided to race each other. Eva ran the race in 4 minutes. Jason did it in half that time. Sarah beat Eva by 2 minutes and 30 seconds. Who won the race? By how much did they win the race?
Challenge
Yourself!
A
B
C
PRICESChild: €4
Adult €6.50
You are invited to a party,a wild time is waiting for you!
Come join us to celebratePaul’s party in the zoo!
Date: Saturday 16th OctoberStarting time: 2 o’clock
Finishing time: 5:30Meeting at Paul’s house!
Explain it! Using a clock to help you, pretend you are teaching your younger brother or sister to tell the time.
Do it! 1. What time does each clock show?
(a) (b) (c) (d)
2. Draw hands on clocks to show each time. (a) 10 past 5 (b) 1
4 to 6 (c) 5 to 11 (d) 20 past 10
3. Write the following times in digital. The first one is done for you. (a) 10 past 3 = 3:10 (b) 20 to 7 = ___ (c) 25 past 9 = ___ (d) 1
4 to 12 = ___ 4. Show the same time on both clocks.
Solve it! Roberto has a lot to do on Sunday. Match the times to each event that he has planned.
•He will walk the dog first.
•He will call for a friend when the minute hand is on 6.
• 15 minutes after one event he will play.
•He will eat lunch at noon.
Say it! 1. There are 24 ________ in one day.
2. 14 of an hour is ________ minutes.
3. It takes 30 ________ for the minute hand to travel from 12 to 6.
4. A ________ clock begins at 00:00.
5. An analogue clock has two hands. It has an hour and a ________ hand.
6. There are 15 minutes in a quarter of an ________.
7. There are 60 ________ in a minute.
A
B
C
D
223
Check Up!
7 20
(a) (b)
Warm-up. Listen to your teacher. Simon Says.
Strand UnitStrand344 Identify, describe and classify parallel lines.
Obj
ectiv
es Shape and Space
Lines and Angles
234
Lines and Angles
Parallel lines
Parallel straight lines are lines that run side by side and never meet, e.g. a railway track.
Mark the parallel lines on the picture.1. 2. 3.
Which ones are parallel lines?1. 2. 3.
4. 5. 6.
7. 8. 9.
Count the parallel lines in the picture.
B
C
D
My goal is to le
arn
that paralle
l lines
run side by s
ide.
A
I found ___ sets of parallel lines.
Strand UnitStrand344 Identify, describe and classify vertical and horizontal
lines.
Obj
ectiv
es24
Shape and Space
Lines and Angles
Topic 4: Lines and Angles
Horizontal lines
This is a picture of the horizon. This is where we get the word ‘horizontal’ from.
Horizontal line
Vert
ical
line
Tick the correct boxes for each picture.ParallelHorizontalVertical
ParallelHorizontalVertical
ParallelHorizontalVertical
ParallelHorizontalVertical
ParallelHorizontalVertical
ParallelHorizontalVertical
Look around you.
1. How many parallel lines can you find?
2. Make a list of all the parallel lines you can see.
3. Make a list of where parallel lines appear in sports.
A
C Can you follow your partner’s instruction?
Take a pencil and blank piece of a paper. Your partner will describe a picture to you, using some of the terms that you have been learning about. Draw what your partner describes. When you are finished drawing, compare the pictures.
How did you do?
Puzzle. Are the lines parallel?Pair work
1. 2.
3. 4.
5. 6.
Horizon
D
B
Strand UnitStrand•345Recogniseanangleintermsofrotation.
•347Solveproblemsinvolvinglinesandangles.
Obj
ectiv
es Shape and Space
Lines and Angles
25Topic 4: Lines and Angles
A
C
Angles
1. Can you find 10 angles on this house? Colour them in. One is already done for you.
2. Can you add any other angles to the picture (e.g. birds, car, swing)?
Right angles
Right angles
1. Find at least 4 right angles in each picture.
2. In your copy, draw some items in your classroom that have right angles.
Angle game
1. Use lollipop sticks to create right angles, angles smaller than a right angle and angles larger than a right angle.
2. Can the children on your table recognise the type of angle it is?
When we look around there are right angles everywhere!
Shapes Objects
B
This angle is called a right angle. It is made when a vertical line and a horizontal line meet together at a point.
right angle
(a) (b) (c)
(d) (e) (f)
Strand UnitStrand346 Classify angles as greater than, less than or equal to a
right angle.
Obj
ectiv
es26
Shape and Space
Lines and Angles
Topic 4: Lines and Angles
Types of anglesRight angle Less than a right angle Greater than a right angle
Write the names of these angles.
1. 2. 3. 4.
Angles
1. How many angles can you see inside each shape?
(a) (b) (c) (d) (e) (f)
2. Which of the above shapes have right angles? 3. (a) (b)
(c) (d)
Use a ruler to draw 7 or 8 lines joined together.
1. How many angles can you find?
2. Colour in your design with different colours for parts that are side by side.
Circle the fish with right angle mouths!
A
B
C
D
number of angles ___
number of right angles ___
number of angles ___
number of right angles ___
number of angles ___
number of right angles ___
number of angles ___
number of right angles ___
Explain it!
Create a fact page.
Explain to the reader all they need to know about lines and angles. Use diagrams and examples to help you. Swap with your friend and see if theirs is helpful.
Do it! 1. Write whether these lines are horizontal, vertical and/or parallel.
(a) (b) (c)
2. Draw a shape in your copy with 4 right angles.
3. Draw the shapes:
(a) right angle (b) larger than a right angle (c) smaller than a right angle
Solve it! 1. Line 1 and line 2 are parallel. True or false?
2. Line 1 is vertical. True or false?
3. Where line 3 meets line 1 a right angle is made. True or false?
4. Line 3 is horizontal. True or false?
5. Line 2 is horizontal. True or false?
6. Line 5 is vertical. True or false?
7. The angle at 4 is smaller than a right angle. True or false?
8. Line 3 is vertical. True or false?
Say it!
Read the clues and figure out the answers.
1. Straight lines that run side by side and the same distance apart. _ _ _ _ _ _ _ _
2. When two straight lines meet at a point or a corner. _ _ _ _ _
3. Often seen in 2D shapes, this is also known as a square angle. _ _ _ _ _
4. This line runs in the same direction as the horizon. _ _ _ _ _ _ _ _ _ _
5. This line runs in the opposite direction to the horizon. _ _ _ _ _ _ _ _
Share it! Draw a real-life picture using the following lines and angles.
A
C
B
274
Check Up!
3
1
2
5
4
D
E
number of angles ___
number of right angles ___
Groupwork
28 Maths in a Stadium!
1. How many players can you see in the main picture?
2. What is the total if you add up all the jersey numbers that you can see?
3. How many right angles would you find in one goal area of a football pitch?
4. The stadium has 50,000 seats. 7,653 are empty. How many spectators are at the match?
5. It took Mr Stitch 20 minutes to sew one number onto a footballer’s jersey. How long would it take him to sew 3 numbers on?
6. The license plate number of Mr Stitch’s car is 11-D-675. What is the value of the numeral 7 in his license plate number?
7. Joe bought a plastic football costing €2 in the football souvenir shop. He handed the shopkeeper €5. How much change should he get back?
8. How much money would a family of four save by getting the special offer on tickets?
9. How much would it have cost the same family if there was no special offer?
10. The match started at 2 o’clock. Look at the scoreboard and work out what time it is now.
11. Who do you think will win this match?
Action from the match
Shopping for
soccer fans!
29Maths in a Stadium!
12. On Tuesday, 200 tickets were sold for the North Stand, 78 tickets were sold for the South Stand and only 9 tickets were sold for the East Stand. How many tickets were sold altogether on Tuesday?
13. The match lasts for 90 minutes, with another 15 minutes in the middle for half time. What time will the match be over? (Tip: Look back to question 10!)
14. The car park holds 670 cars. How many cars are parked there now?
15. If there were 785 people in a stadium that could hold up to 999 people, how many seats would be empty?
Aviva
Stadium
Look! Special offer on tickets today!
Adult: €30Child: €10
Family of 2 adults and 2 children: €70
___ 10
B
30 MENTAL MATHS 1
A
1. This line is ___________. (horizontal, diagonal, vertical).
2. What is the sum of 5, 7 and 3?
3. What is 11 more than 9?
4. What time is it half an hour after 2 o’clock?
5. Elena bought 4 sweets costing 5c each. How much did they cost altogether?
6. Name this shape.
7. Take 15 from 25.
8. What change does Jerry get from 50c if he buys a pencil for 20c and a pen for 20c?
9. What is 12 of 10?
10. A triangle has ___ sides.
1. 6 + 3 + 9 = ___
2. What is the value of the 6 in 763?
3. What 3 coins are needed to make 80c?
4. What time does it show on the clock?
5. Sam has 20c. She buys a rubber costing 8c. How much change does she get?
6. What fraction of the shape is shaded?
7. What must be added to 15 to make 21?
8. What is the difference between 20 and 50?
9. Make the biggest number possible using the following digits 1, 4 and 2.
10. What is the missing number? 2, 4, 6, ___, 10, 12.___ 10
___ 10