nkosi sikelel’ iafrica s...2020/04/05 · national archives and records services of south africa...

National Archives and Records Services of South Africa

In 1897 Enoch Sontonga of the Mpinga clan of the amaXhosa was inspired to write a hymn for Africa. At the time he was 24 years old, a teacher, a choirmaster, a lay minister in the Methodist church and a photographer. At the time Mr Sontonga lived in Nancefield near Johannesburg.

In 1899, this beautiful hymn, Nkosi Sikelel’ iAfrika, was sung in public for the first time, at the ordination of Reverend Boweni, a Methodist priest. It had a powerful effect on everyone who heard it, and became so well loved that it was added to, translated, and sung all over the African continent.

A further seven verses were added to the hymn by poet SEK Mqhayi, and on 16 October 1923, Nkosi Sikelel’ iAfrika was recorded by Solomon T Plaatje, accompanied by Sylvia Colenso on the piano. It was sung in churches and at political gatherings and in 1925, it became the official anthem of the African National Congress (ANC).

Although his hymn was very well known, Sontonga was not famous in his lifetime. For many years, historians searched for information about this humble man’s life and death.

Enoch Sontonga died on 18 April 1905, at the age of 33. His grave was discovered many years later in a cemetery in Braamfontein in Johannesburg, after a long search by the National Monuments Council. In 1996, on Heritage Day, 24 September, President Mandela declared Sontonga’s grave a national monument, and a memorial was later erected at the gravesite.

For a while, in 1994 and 1995, South Africa had two official national anthems: Nkosi Sikelel’ iAfrika and Die Stem, the apartheid era anthem. Both anthems were sung in full, but it took such a long time to sing them that the government held open meetings to ask South Africans what they wanted for their National Anthem. In the end, the government decided on a compromise, which included the shortening of both anthems and the creation of a harmonious musical bridge to join the two songs together into a single anthem. Our national anthem, which is sung in five different languages – isiXhosa, isiZulu, Sesotho, Afrikaans and English – is unique and demonstrates the ability of South Africans to compromise in the interest of national unity and progress.

Nkosi Sikelel’ iAfrika became the first stanza of our new National Anthem.

M.L. de Villiers, arr. D. de Villiers (Die Stem)Re-arrangement, music typesetting-Jeanne Z. Rudolph as per Anthem Committee

E. Sontonga, arr. M. Khumalo (Nkosi)Afrikaans words: C.J. LangenhovenEnglish words: J.Z-Rudolph

COMMEMORATING 120 YEARS OF NKOSI SIKELEL’ iAFRICA

Nkosi Sikelel’ iAfricaNkosi, sikelel' iAfrika,Malupnakanyisw' udumo lwayo;Yizwa imithandazo yethuNkosi sikelela, Thina lusapho lwayo

Nkosi, sikelel' iAfrika,Malupnakanyisw' udumo lwayo;Yizwa imithandazo yethuNkosi sikelela,Thina lusapho lwayo

Woza Moya (woza, woza),Woza Moya (woza, woza),Woza Moya, Oyingcwele.Usisikelele, Thina lusapho lwayo.

Morena boloka sechaba sa hesoO fedise dintwa le matshwenyehoMorena boloka sechaba sa heso,O fedise dintwa le matshwenyeho.

O se boloke, o se boloke,O se boloke, o se boloke.Sechaba sa heso, Sechaba sa heso.O se boloke morena se boloke,O se boloke sechaba, se boloke.Sechaba sa heso, sechaba sa Africa.

Ma kube njalo! Ma kube njalo!Kude kube ngunaphakade.Kude kube ngunaphakade!

MA

THEMA

TICS IN

ENG

LISH – Grade 4 Book 1

f

© Departmen

12

98765

4

3

2

3

MATH

EMAT

ICS

IN E

NGLI

SH

ISB

N 978-1-4315-0015-4

1 2 3 4 5

2+2=4

548

CA P S a l i g ned

M A T H E M A T I CS I N E N G L I S H

I S B N 9 7 8 - 1 - 4 3 1 5 - 0 0 1 5 - 4

R ev i sed a nd

CA P S a l i g ned

s

4Grade

Name: C ass:l

G R A D E 4 – B O O K 1 • T E R M S 1 & 2

T H I S B O O K M A Y N O T B E S O L D .

9 th E d i ti on

No. Title Pg.

R1a Base Ten Counting ii

R1b Base Ten Counting (continued) iv

R2 Numbers 0 to 1 000 vi

R3 Addition and Subtraction to 999 viii

R4 More Addition and Subtraction to 999 x

R5 Multiplication xii

R6 More Multiplication xiv

R7 Number patterns xvi

R8 Fractions xviii

R9 More Fractions xx

R10 Money xxii

R11 Length xxiv

R12 Area xxvi

R13 Capacity xxiv

R14 2-D Shapes and 3-D Objects xxx

R15 Weight (Mass) xxxii

R16 Data xxxiv

1a Numbers 0 to 1 000 2

1b Numbers to 0 to 1 000 (continued) 4

2 More numbers 0 to 1 000 6

3 Even more numbers 0 to 1 000 8

4 Rounding off to the nearest 10 10

5 Rounding off to the nearest 100 12

6a Number sentences 14

6b Number sentences (continued) 16

7a Addition up to 4 digits 18

7b Addition up to 4 digits (continued) 20

8a Addition Pro blems 22

8b Add ition Problems (continued) 24

9a Subtraction 26

9b Subtraction (continued) 28

10a Subtraction Problems 30

10b Subtraction Problems (continued) 32

11a Addition and Subtraction (continued) 34

11b Addition and Subtraction (continued) 36

12 Let’s talk about money 38

13 Number patterns 40

14 Number patterns: flow diagrams and tables 42

15 Multiplication: 2 × to 7 × tables 44

16 Multiplication: 8 × and 9 × tables 46

17 Multiplication: 1 × and 10 × tables 48

18a Time 50

18b Time (continued) 52

19a Calculation of time 54

19b Calculation of time 56

20 Data 58

21a Pictographs and bar graphs 60

21b Pictographs and bar graphs (continued) 62

22a 2-D shapes 64

22b 2-D shapes (continued) 66

No. Title Pg.

23a Multiplication: 1-digit by 2-digit and 2-digit by 2-digit 68

23b Multiplication: 1-digit by 2-digit and 2-digit by 2 (continued)

70

24a Grouping problems 72

24b Grouping problems (continued) 74

25 Numbers 0 to 2 000 76

26 More numbers 0 to 2 000 78

27 More rounding off to the nearest 10 80

28 More rounding off to the nea rest 100 82

29 More number sentences 84

30a Addition up to 4-digit numbers 86

30b Addition up to 4-digit numbers (continued) 88

31 Adding by filling in the tens 90

32a Subtraction up to 4-digit numbers 92

32b Subtraction up to 4-digit numbers (continued) 94

33 More subtraction up to 4-digit numbers 96

34 Compare and order common fractions 98

35 Grouping and Sharing 100

36 Fractions: halves to twelfths 102

37 Fractions and division 104

38 Equivalent and Comparing Fractions 106

39 Common fractions 108

40 Length 110

41 Estimate, measure and compare length 112

42 Length conversions 114

43 Multiples and rate 116

44a Multiplication: 2-digits by 2-digits 118

44b Multiplication: 2-digits by 2-digits (continued)

120

45a More multiplication: 2-digits by 2-digits 122

45b Multiplication: 2-digits by 2-digits (continued) 124

46 Multiplication and approximation 126

47 Multiplication: 2-digits numbers by 2-digitnumbers

128

48 3-D Objects 130

49 Faces 132

50 Describing and making models of 3-D objects 134

51 Investigate geometric patterns 136

52 Investigate and extend geometric patterns 138

53 Symmetry 140

54 Lines of symmetry 142

55 Addition and subtraction 144

56 Addition and subtraction up to 4-digit numbers 146

57 Addition of 4-digit numbers 148

58 Pro blem solving: addition and subtraction 150

59 Sharing and Grouping problems 152

60 Rate 154

61 Ratio 156

62 Division of 2-digit numbers by 1-digit numbers 158

63 Division of 3-digit numbers by 1-digit numbers 160

64 Division problems 162

Con

tent

s These workbooks have been developed for the children of South Africa under the leadership of the Minister of Basic Education, Mrs Angie Motshekga, and the Deputy Minister of Basic Education, Mr Enver Surty. The Rainbow Workbooks form part of the Department of Basic Education’s range of interventions aimed at improving the performance of South African learners in the first six grades. As one of the priorities of the Government’s Plan of Action, this project has been made possible by the generous funding of the National Treasury. This has enabled the Department to make these workbooks, in all the official languages, available at no cost.We hope that teachers will find these workbooks useful in their everyday teaching and in ensuring that their learners cover the curriculum. We have taken care to guide the teacher through each of the activities by the inclusion of icons that indicate what it is that the learner should do. We sincerely hope that children will enjoy working through the book as they grow and learn, and that you, the teacher, will share their pleasure.We wish you and your learners every success in using these workbooks.

Mr Enver Surty, Deputy Minister of

Basic Education

Mrs Angie Motshekga, Minister of

Basic Education

8

P u b l i sh e d b y t h e D e p a r t m e n t o f Ba si c E d u ca t i o n2 2 2 St r u b e n St r e e t P r e t o r i aSo u t h A f r i ca

© D e p a r t m e n t o f Ba si c E d u ca t i o n Ni n t h e d i t i o n 2 019

T h i s b ook m a y not b e sol d .

ISBN 978-1-4315-0015-4

T h e D e p a r t m e n t o f Ba si c E d u ca t i o n h a s m a d e e ve r y e f f o rt t o t r a ce co p yr i g h t h o l d e r s b u t i f a n y h a ve b e e n i n a d ve r t e n t l y o ve r l o o ke d t h e D e p a r t me n t w i l l b e p l e a se d t o m a ke t h e n e ce ssa r y a r r a n g e m e n t s a t t h e f i r st o p p o r t u n i t y.

MM a th e m a tt i cc s

ENG

LISH

Name:

Worksheets:1 to 64

1

2

3

Revision worksheets:R1 to R16Key concepts from Grade 3

Worksheets:65 to 144

Book 1

Book 2

Grade 4

9 1

Sign:

Date:

3. Fill up the hundreds.

4. Calculate the following:

Example: 486

Example:Calculate 2 486 + 48

2 486 + 48 = (2 486 + 14) – 14 + 48 = 2 500 + (48 – 14) = 2 500 + 34 = 2 534

a. 368 b. 371 c. 684

d. 519 e. 225 f. 568

g. 274 h. 479 i. 383

a. 3 526 + 97 = b. 6 537 + 84 = c. 4 833 + 95 =

d. 1 789 + 39 = e. 2 786 + 56 = f. 8 976 + 41 =

g. 4 324 + 98 = h. 8 159 + 62 = i. 6 847 + 73 =

The concert

7 894 people came to see a concert. There were 68 security guards. How many people were in the stadium?

486 + 14 = 500

9 0

31 Adding by filling the tens

Which sum is easier to add? Why? In one minute, how many combinations can you fi nd that add up to ?

1. Fill up the tens.

2. Fill up the tens.Example:

a. 3 + = b. 5 + = c. 2 + =

d. 6 + = e. 1 + = f. 7 + =

g. 8 + = h. 9 + = i. 4 + =

a. 32 + = b. 46 + = c. 54 + =

d. 72 + = e. 78 + = f. 68 + =

g. 15 + = h. 94 + = i. 83 + =

8 + 7 = or 10 + 5 =

10 + 4 = or 7 + 7 =

9 + 2 = or 10 + 1 =

10 + 2 = or 7 + 5 =

37 + 3

8 + 2

25 + 5= 40

= 10

= 30

14 + 6

9 + 1

68 + 2= 20

= 10

= 70

79 + 1

4 + 6

43 + 7= 80

= 10

= 50

56 + 4

7 + 3

84 + 6= 60

= 10

= 90

92 + 8

0 + 10

36 + 4

3 + 7 = 10

2 + 8 = 10

5 + 5 = 10

1 + 9 = 10

6 + 4 = 10

= 100

= 10

= 40

Are there more combinations that will add up to ten?________________________________________________________________________________________________________________________________________________________________

Find another fi ve combinations that will add up to 100.________________________________________________________________________________________________________________________________________________________________

Term

2

Content Side bar colourRevision PurpleNumber TurquoisePatterns and functions (algebra) Electric blue

Space and shape (geometry) Orange

Measurement GreenData handling Red

Worksheet number(Revision R1 to R16, Ordinary 1 to 144)

Language colour code: Afrikaans (Red), English (Blue)

Worksheet title

Term indicator (There are forty worksheets per term.)

Topic introduction (Text and pictures to help you think about and discuss the topic of the worksheet.)

Questions

Fun/challenge/problem solving activity (This is an end of worksheet activity that may include fun or challenging activities that can also be shared with parents or brothers and sisters at home.)

Teacher assessment rating, signature and date

The structure of a worksheet

Colour code for content area

Example frame (in yellow)

Grade 4MM a t

h e m a tt i cc s

ENG

LISH

Book1Name:

PART

RevisionKey con cep ts f r om Gr ad e 3

1

WORKSHEETS R1 TO R16

ii

Revision

1. Write down how many beads you counted?

a.

c.

b.

How many beads are there? See how fast can you count them.

R1a Base Ten Counting

I wonder what is the

fastest way to count? Can

you help me?

Term

1The fi rst 1 worksheets are revision activities. They also summarise important concepts you need in Grade 4.

iii

Sign:

Date:

Revision

d.

e.

continued ☛

iv

Revision

R1b Base Ten Counting continued

Term

1

2. Write down how many beads there are.

These blocks of beads have the same number in each as the block above. Write down the total number of beads.

a.

b.

c.

I made a nice brooch with my 111

beads.

v

Sign:

Date:

Revision

What to do: - lay in pairs.- Cut out the cards from Cut-out

sheet 1 at the back of the book.- lace them face down on your

desk.- ou choose fi ve cards and your

partner chooses fi ve.- See who is fi rst to give the total

number of beads on the cards.- Check your partner s answer.- Do the same with and

10 cards.- The person with the most

correct answers is the winner.

What you need:- Cut-out 1.

How quick are you?

d.

d.

vi

Revision

What number will these cards make?

R2 Numbers 0 to 1 000Te

rm 1

3 0 0

2 0 5

325

Three hundred and twenty fi e

Three hundred and

In words

it is

1. Match column A with column B.

2. Write the number in the correct column:

a.

b.

c.

Number cards Hundreds Tens Units

a. 2 5 3

b.

c.

d.

e.

2 0 0

4 0 0

1 0 0

3 0 0

4 0 0

5 0

0

2 0 1 0

1 0

4 0

3

5

2 3

3 0 0

1 0 0

4 0

3

4 0 0

1 0

2

Column A Column

vii

Sign:

Date:

Revision

3. omplete the following. We ha e done the fi rst one to guide you.

. The fi rst one is done for you. Write the other numbers also in e panded notation.

5. Write the following in words.

a. 23 = hundreds 2 tens 3 units

b. 4 =

c. 521 =

d. 04 =

e. 230 =

a. 54 = 00 50 4

b. 203 =

c. 45 =

d. 50 =

e. 05 =

f. 4 5 =

a. 54 b. 30

c. 4

What to do:– lay in pairs.– Each player roles a hundreds dice (red, blue or orange dice), a tens

(green dice) and a units (yellow dice) dice.– Each player makes his or her own 3-digit number with the number cards. – The winner is the player with the greatest number. – Do the same activity fi ve times.

What you need:- Cut-out 2- Cut-out 3: Cut and fold the dice (units to hundreds)

What is the size of your number:

– Each player roles a hundreds dice (red, blue or orange dice), a tens

Remember zero is a place holder.

100

10 000

10

1000

1

viii

Revision

R3 Addition and Subtraction to 999Te

rm 1

What do addition and subtraction mean?

100

– 20

50

30

– 40

100

– 20

50

30

– 40

100

– 20

50

30

– 40

1. Complete the pattern:

200 300 400

200 1 0 1 0

50 100 150

0 0 120

500 4 0 420

a.

b.

c.

d.

e.

+ –What does

+mean?

What does

–mean?

12 5

= 00 10 50 2

= 00 0

=

3 4

= 300 0 0 4

= 300 150 13

= 300 100 50 10 3

= 400 0 3

= 4 3

amples ample 612 + 56 ample 2 389 + 74

612 + +389600 30010 8050 702 96 4

56 74

ix

Sign:

Date:

Revision

2. dd the following using the gi en e ample.

+ +124 67835 25

124 35

= 100 20 30 4 5

=

=

25

= 00 0 20 5

=

=

=

3. ubtract the following using the gi en e ample.

659 392

5 – 5

= 00 50 ( – 5)

=

=

3 2 –

= 300 0 (2 – )

=

=

=

35 - 3

= 300 50 ( – 3)

= 300 50 3

= 353

241 -

= 200 40 (1 – )

= 200 30 (11 – )

= 200 30 5

= 235

amplesample 356 - 3 ample 2 241 - 6

356 241

a. 124 35

a. 5 – 5 b. 3 2 –

b. 25

–

–

–

–

3

5

6

8

x

Revision

R4 More Addition and Subtraction to 999Te

rm 1

How fast can you add the following?

100

200100300

100

20

10

30

10

20

10

10

2

2

2

2 2

2 2

2 2 2

= 200 400 10 50 2

= 00 0

=

= 100 300 20 0 4

= 400 100 11

= 500 10 1

= 511

212 45 124 3

amplesample ample 2

200 100400 30010 2050+

+

+

+

+

+ 802 46 7

. dd the following using the e amples abo e. a. 234 3 2

c. 3 145

b. 44 213

d. 24 35

= 200 300 30 0 4 2

=

=

= 300 100 0 40 5

=

=

=

=

=

=

=

=

=

=

=

=

xi

Sign:

Date:

Revision

= ( 00 – 300) ( 0 – 20) (4 – 3 )

= 400 0 1

= 4 1

= (500 – 200) (40 – 0) ( – )

= 300 (30 – 0) (1 – )

= 200 (130 – 0) (1 – )

= 200 50

= 25

4 – 323 54 – 2

amplesample ample 2

700 500300 20080 40

–

–

–

–

– –20 804 63 8

2. ubtract the following using the gi en e ample. a. 4 – 214

c. 3 4 – 2

b. – 453

d. 413 – 1

= (400 – 200) ( 0 – 10) ( – 4)

=

=

= (300 – 200) ( 0 – 0) (4 – )

=

=

=

=

=

=

=

=

=

=

=

=

What is the size of your number:

What to do:- Roll the tens (green) dice.- Add the number landed on to the fi rst number on

the blue card. Write your addition sum on a piece of paper.

- Do the same with the ne t four numbers on the blue card.

- Repeat the activity using both the 10s and 100s dice.- earners check each other s addition sums.- The winner is the person with the most correct answers

What you need:- se the 10s and100s

dice made in the previous activity.

- iece of paper.

What you need:

+

–Repeat the activity using subtraction.

132423400675897

100 10

xii

Revision

Diagram Addition sum Words Multiplication sum

4 4 4 = 12

Four groups of fi ve

3 5 = 15

R5 MultiplicationTe

rm 1

We have si beads repeated four times.

This is the same as

6 + 6 + 6 + 6 which is the same as:

a. 2, 4, , , , , , , , ,

b. 3, , , , , , , , , ,

c. 5, 10, 15, , , , , , , ,

d. 4, , 12, , , , , , , ,

e. 10 , 20 , 30 , , , , , , , ,

1. Complete the patterns:

2. Complete the table:

xiii

Sign:

Date:

Revision

a.

b.

c.

d.

a.

d.

g.

m

j.

b.

e.

h.

n.

k.

c.

f.

i.

o.

l.

1

12

12

1

12

4

50

2

54

0

2

3

2

2

4

3

12

5

5

3

1

3

24

4

4

4

4

1

10

4

4

12

e.

3. Match the cats with the mice.

4. Fill in the and = in the right places.

In one minute I can …

What to do:- Roll the units and tens dice. Multiply the two numbers. Write down the

multiplication sum with its answer. - Repeat doing this until your teacher says stop after a minute.- Give your multiplication sum to your friend to mark.- The winner is the person with the most correct answers.

What you need:- se the units and tens

dice made in the previous activity from Cut-out 3.

- iece of paper.

What you need:

X

9

243 3

21

32 2

10

3

100 10

xiv

Revision

R6 More MultiplicationTe

rm 1

See how many sums you can make by multiplying a number from the square by a number in a circle.

1. Complete the table.

1 2 34 5

1 2 3 4 5 6 7 8 9

11 1 =

1 2 =

1 3 =

1 4 =

1 5 =

1 =

1 =

1 =

1 =

22 1 =

2 2 =

2 3 =

2 4 =

2 5 =

2 =

2 =

2 =

2 =

33 1 =

3 2 =

3 3 =

3 4 =

3 5 =

3 =

3 =

3 =

3 =

44 1 =

4 2 =

4 3 =

4 4 =

4 5 =

4 =

4 =

4 =

4 =

55 1 =

5 2 =

5 3 =

5 4 =

5 5 =

5 =

5 =

5 =

5 =

6 1 =

2 =

3 =

4 =

5 =

=

=

=

=

7 1 =

2 =

3 =

4 =

5 =

=

=

=

=

8 1 =

2 =

3 =

4 =

5 =

=

=

=

=

9 1 =

2 =

3 =

4 =

5 =

=

=

=

=

1 23

45

xv

Sign:

Date:

Revision

The problem: A parent gives nine bags of soccer balls to a school. Each bag contains soccer

balls. How many soccer balls does the parent give away?

What is the question? How many soccer balls does the parent give away?

What are the numbers? (bags) and (balls per bag)

What key words tell you which basic operation (+, –, x or ÷) to use? Each bag contains.

What operation must be used? Multiplication.

Draw a picture.

Write down a number sentence. =

Show the calculation. = 54

Answer: The parent gives 54 soccer balls away.

ample

2. ol e the following problems. se the e ample to guide you. ou will need e tra sheets of paper to sol e the problems.

In one minute I can …lay the previous game again.

100 10

lay the previous game again.

100 10X

a. A farmer plants rows of apple trees. There are apple trees in each row. How many apples trees are there in total?

b. Ann s mother buys 5 pizzas. Each pizza is cut into four slices. How many slices are there altogether?

c. Mandla has three friends. Each of them has twenty sweets. How many sweets do they all have together?

xvi

Revision

R7 Number patternsTe

rm 1

Talk about the patterns in the table below.

1 2 3 4 5 10

11 12 13 14 15 1 1 1 1 20

21 22 23 24 25 2 2 2 2 30

31 32 33 34 35 3 3 3 3 40

41 42 43 44 45 4 4 4 4 50

51 52 53 54 55 5 5 5 5 0

1 2 3 4 5 0

1 2 3 4 5 0

1 2 3 4 5 0

1 2 3 4 5 100

a. 40, 45, 50, b. 5, 5, 105, , ,

c. 3 , 3 , 3 0, , , d. 405, 410, 415, , ,

e. 5 , 5 , 5 , , , f. 00, 10, 20, , ,

g. 5, 0, 5, , , h. 00, 02, 04, , ,

a.

b.

c.

d.

e.

. What will the ne t number be?

2. Complete the following patterns.

3

4

3

5

7 70

50

30

40

30

700

500

300

400

300+

+

+

+

+ +

+

+

+

+

+

+

+

+

+=

=

=

=

= =

=

=

=

=

=

=

=

=

=5

2

6

1

2 20

10

60

20

50

200

100

600

200

500

xvii

Sign:

Date:

Revision

Pattern funHow fast can you get the answer?

Coloured cards…

ook at the cards. What do you notice?

2

4 12

1

11

22

33

15

30

45

3. What will you put in the place of the orange?

a. 4 3 = 4

b. 2 =

c. 5 4 = 5

d. 3 = 3 5

e. 2 = 2

f. 1 = 1

g. = 3

h. 0 =

i. = 1

j. = 1

a. 4 3 = 4

b. 2 =

c. 5 4 = 5

d. 3 = 3 5

e. 2 = 2

g. = 3

h. 0 =

i. = 1

j. = 1

4 + 3

8 + 1

5 + 6

7 + 2

4 + 5

9 + 3

2 + 7

5 + 4

3 + 4

6 + 5

3 + 9

1 + 8

3

xviii

Revision

R8 FractionsTe

rm 1

Use fractions to describe the pictures.

1. Divide these shapes into:

2. Colour in the following fractions.

Halves

uarters

a. two quarters ( 24

) =

b. one quarter ( 14

) =

c. two thirds ( 23

) =

d. two halves ( 22

) =

e. three thirds ( 33

)=

xix

Sign:

Date:

Revision

3. Complete the table below.

Fractions dice and strips

Fraction circle Fraction that is green. Colour the same fraction on this diagram.

one quarter ( 14

)

a.

one quarter ( 14

) is green

b.

c.

d.

e.

f.

g.

h.

14

Throw a dice.

Then take a fraction strip from Cut-out 4 that matches the fraction on the face of the dice.

If the face is , take a quarter strip. If you are correct keep the fraction strip.

At the end count your fraction strips.

The winner is the person with the most fractions strips.

14

23

24

xx

Revision

R9 More FractionsTe

rm 1

Use fractions to describe the pictures. = one quarter

= one quarter

= one quarter

= one quarter

1. Share the sweets. What fraction will each child get?

Children Total number of sweets

What fraction will each child get?

How many sweets will each child get?

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2. You divide 16 sweets between four children. What fraction will each child get?

3. You divide 18 sweets between two children. What fraction will each get?

4. Four children each get of 28 sweets. How many sweets does each child get?

Fractions dice and strips

lay this game again. See the previous lesson.

14

Continue on an e tra sheet of paper



xxii

Revision

R10 Money Te

rm 1

Identify all the coins and notes:

1. Tick the coins that are equal to the amount shown:

2. Colour the blocks:

a. R5,40 b. R3,20

c. R ,50 d. R ,45

a. R2 = Green

b. R1 = lue

c. R5 = Red

d. R10 = urple

e. R20 = ellow

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3. Tick the correct change.

a. I bought sweets for R3,50. I paid with a R5.

b. I bought sweets for R4, . I paid with a R5,00.

c. I bought sweets for R , . I paid with R5, R2 and R2 coin.

d. I bought sweets for 10c. I paid with R10,00.

Coin rubbing and problem solving

a. Take some coins. Make a coin rubbing by putting a coin under a piece of

paper and rubbing over the top with a crayon pencil. Cut out the coins and make fi ve of your own sums.

b. Grandmother gives alesa R12. alesa wants to save a third of the money. How much money must she save?

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Revision

R11 LengthTe

rm 1

How long is a metre? Can you take a step that is one metre long? How many 30 cm rulers will make 1 metre?

1. If this worm is one metre long, what is the distance from the boy to the girl?

a.

b.

c.

e.

d.

2. Fill in the missing numbers on this measured line.

0 1 m 2 m 8 m

cm rulers will make 1 metre?

2. Fill in the missing numbers on this measured line.

Revision

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3. Use the game board to answer the questions:

Length game

Spaces moved:

metres moved:

Spaces moved:

metres moved:

Spaces moved:

metres moved:

Spaces moved:

metres moved:

Spaces moved:

metres moved: Spaces moved:




metres moved:

Spaces moved:

metres moved:

Spaces moved:

metres moved:

We have already rolled the dice for you. The length of the line is the number of spaces you moved. We did the fi rst two for you, E=1 and D = 2, so you are standing on square 3 now. Carry on. Colour the blocks as you go. The fi rst one to fi nish wins.

How many more spaces must you move to get to the fi nish?

E F

DB

A

C

C

F

B

AF

A – space – a – metre

START

FINISH

A

C D E F

B

010

2030

4050

6070

8090

100

one

me

tre

cm

1

1

2 + 1

3

Revision

xxvi

Revision

R12 AreaTe

rm 1

Look at the kitchen fl oor. How many tiles did I use to tile the fl oor?

1. Answer the following questions:

2. a. How many tiles are used to tile these fl oors? b. What is the distance in tiles around the edges of each fl oor?

a. How many tiles did you use to tile the kitchen fl oor?

b. How many white tiles did you use to tile the kitchen fl oor?

c. How many black tiles did you use to tile the kitchen fl oor?

d. The girl takes one step per tile. How many steps will she take to go round the

edges of the room on the tiles?

a. a.

a. a.

b. b.

b. b.


Revision

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3. Use Cut-out 5. You also need glue and a pair of scissors. Tile all the fl oors. Try and create a beautiful pattern with your tiles.

A4 page …

How many whole tiles from Cut-out 5 will fi t on a sheet of A4 size paper?tile

a. Total tiles:

Total distance (in

tiles) around the fl oor:

b. Total tiles:

Total distance (in tiles) around the fl oor:

d. Total tiles:


c. Total tiles:


Revision

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Revision

R13 Capacity Te

rm 1

This bottle holds 1 litre.

Identify the objects in the kitchen that can hold more or less than 1 litre.


a. What can take more water than a cup?

c. Is this bottle full or empty?

e. Is this container full or half full?

b. Is this container full or empty?

d. Which container can take more water?

f. Is this bottle full?

2. Use the bottle on the left, and estimate whether the container can take more or less than a litre.

1 litrea.

e.

b.

f.

c.

g.

d.

h.

Revision

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3. How many bottles of water did you take to fi ll each measuring jug? The picture on the left will guide you.

4. If each jug takes 3 litres of water, how many litres of water are there in each jug?

a. b. c.

a. b. c.

d. e. f.

Capacity fun …

Make a list of 10 things in your house that have a capacity of 1 litre.

f.

Revision

xxx

Revision

R14 2-D Shapes and 3-D Objects Te

rm 1

How many shapes and objects can you fi nd?

Words that can help:Rectangle CircleSquare TriangleBox (Prism) Ball (Sphere)Cylinder

a.

a.

a.

c.

b.

b.

c.

c.

b.

d.

d.

1. Name the following shapes:

2. Name the following objects:

3. Colour the correct word or words.

Straight edges

Round surfaces

Straight edges

Round surfaces

Curved edges

Flat surfaces

Curved edges

Flat surfaces

Revision

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a. b. c.

4. Draw a line of symmetry.

5. Colour all the cylinders blue. Then write on each object if it can:• Roll only (R) • Slide only (S) • Roll and Slide (RS)

Find pictures …

What to do:– Go through a magazine, newspaper or an advertisement.– Find pictures of fi ve things that look like a: – cylinder – cube – ball (sphere)

Which object was the easiest to fi nd? Which object was the most diffi cult to fi nd?

Revision

xxxii

Revision

R15 Weight (Mass)Te

rm 1

Did you know that an average pineapple weighs 1 kg? Identify the objects in the kitchen that are heavier or lighter than a pineapple.

1. Answer the questions.

2. Use the object on the left to estimate whether the object is heavier or lighter than a kilogram.

a. What is lighter than a brick?

c. Is this bag heavier or lighter than a pineapple?

e. Is this bag heavy or light?

a. feather

e. school bag

b. shoes

f. pencil case

c. cupcake

g. packet of chips

d. crayon

b. What is heavier, a full or an empty bag?

d. Are the biscuits heavier or lighter than the handbag?

f. Is this suitcase heavy or light?

a. What is lighter than a brick?

f. Is this suitcase heavy or light?

e. school bag

1 kg

Revision

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3. Say if the object (or objects) weigh more, less or the same as 1 kilogram.

Mass fun …

What to do:– Make a list of 10 things in your house that weigh about 1 kilogram each.

Revision

xxxiv

Revision

R16 DataTe

rm 1

1. Sort the fruit using the circles below. Make drawings:

a. How many naartjies are there?

b. How many apples are there?

c. How many bananas are there?

d. How many strawberries are there?

naartjies apples

strawberries bananas

Revision

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2. Draw a pictograph.

Our favourite fruit

a. Do children like bananas or apples more?

b. Do children like strawberries or naartjies more?

c. What is the most popular fruit?

d. What is the least popular fruit?

Find a graph

Search through a newspaper for graphs. Bring one example of a graph to the classroom.

Revision

xxxvi

RevisionRevisionRevision

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Notes

Revision

Grade 4MM a t

h e m a tt i c

WORKSHEETS 1 to 64

c s

ENG

LISH

Book1

PART

2

2

1a Numbers 0 to 1 000Te

rm 1

How many cubes are there in total?

1. Count the cubes.

a.

b.

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2. How many cubes are there in total?

= 1 = 10

a.

b.

c.

= 100 = 1000

continued ☛

How many of the 100 blocks will make a 1 000 block?

4

1b Numbers 0 to 1 000 continued

Term

1

d.

e.

5

Sign:

Date:

How quick are you?

What to do:– Play in pairs.– Cut out the cards from the back of your books. – Place them face down on your desk.– ou choose fi ve cards and your partner chooses fi ve.– See who can give the total the quickest.– Add 100 to your answer.– Check your partner’s answer.– Do the same with 6/7/8/9/10 cards. Remember to add 100. – The person with the most correct answers is the winner.

What you need:- Cut-out 1.

1 0 0 0

1 0 0

1 0

1

3. Match column A with column B


a.

a. + = = 11

b. + + = = 111

c. + + + + + + + =

d. + + + + + + + + =

e. + + + + + + + =

b.

c.

d.

1 0 0

1 0 0 1 0 0 1 0 0

1 0 0

1 0 0 1 0 0 1 0 0 1 0 0

1 0 0

1 0

1 0

1 0

1 0

1 0 1 0 1 0

1 0 1 0 1 0 1 0

1 0 1 0

1 0

1 0 1

1

1 1

1

1 1 1

1

1

A B

6

2 More numbers 0 to 1 000Te

rm 1

What number will these cards make?

798

Seven hundred and ninety-eight

In words it is9 0 8

Seven hundred and ninety-eight

1. Complete the following:


a. 100 + 60 + 4 =

b. 200 + 10 + 8 =

c. 900 + 90 + 9 =

d. 600 + 20 =

e. 700 + 7 =

Hundreds Tens Units

a. 923 9 2 3

b. 113

c. 204

d. 580

e. 600

7 0 0 7 0 0 9 0

8

3. Write the number in the correct column:

a. 6 0 0

+ 4 0

+ 3

=

b. 3 0 0

+ 8 0

+ 5

=

d. 1 0 0

+ 2 0

=

c. 4 0 0

+ 1 0

+ 9

=

e. 8 0 0

+ 6

=

643

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5. Complete the table below:

6. What is the value of the underlined digit?

a. 891

b. 320

c. 554

d. 632

e. 047

Expanded notation Words

a. 493

b. 900

c. 187

d. 349

e. 420

Find the number.

What to do:– Bring a newspaper to class.– Find fi ve 3-digit numbers. – Write them down.– Share with the class what each number means.

What you need:- A newspaper

4. You need some coloured pencils do complete this question.

omplete the following using the fi rst uestion to guide you.

a. 247 = 2 hundreds + 4 tens + 7 units

b. 892 =

c. 384 =

d. 566 =

e. 201 =

8 0 0 9 0

1

8

3 Even more numbers 0 to 1 000Te

rm 1

Choose a colour on the left. Find the matching colour on the right. Choose 5 numbers smaller and 5 numbers bigger than the number (where possible).

1. Arrange the numbers from the smallest to the biggest.

< Less than

Greater than >

235

487

1. Arrange the numbers from the smallest to the biggest.

145

361

235

599

10

985 701

235

a. 896, 689, 888, 698, 986

b. 426, 626, 642, 264, 269

c. 735, 365, 373, 335, 533

d. 400, 404, 304, 340, 430

e. 999, 292, 922, 902, 920

2. Fill in < or >.

a. 623 263

b. 196 916

c. 505 500

d. 334 344

e. 829 892

3. What is the value of the digit 4 in these numbers?

a. 964 b. 204 c. 468

d. 459 e. 341

< Less than

9

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Date:



a. se each digit once. Make the smallest 3-digit number:

b. se each digit once. Make the largest 3-digit number:

c. ou can use a digit twice. Make the smallest 3-digit number:

d. ou can use a digit twice. Make the largest 3-digit number:

ou tossed some stones on a game board. This were your

result. If you add the numbers, what is the total?

8 2 5

Who can get the largest number?

What you need:– The game board on the right.– Small stones.

What to do:– Toss your stone on the board.– Write down the number it lands on.– Do this ten times.– Add the numbers.– The winner in a group is the person with

the biggest number.

110

100

110

100

10

Look at the symbols below and describe them.

1. Round the following numbers off to the nearest ten using the number lines provided.

Rounding off to the nearest ten.

Round off the numbers that end in a digit from 1 to 4 to the previous (lower) ten. Example: 374 rounded off to the nearest ten would be 370.

Round off numbers that end in a digit from 5 to 9 to the next (higher) ten.Example: 377 rounded off to the nearest ten would be 380.

370 371 372 373 374 375 376 377 378 379 380

370 371 372 373 374 375 376 377 378 379 380

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

0 1 2 3 4 5 6 7 8 9 10

0 10

0 10


When we want to write 4 + 5 is equal

to 9, we use the symbol

=

When we want to write 8 rounded

off to the nearest 10 we use the

symbol

=

4 Rounding off to the nearest 10Te

rm 1

a.

b. 3

c. 2

d.

e. 4

11

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Round up and down

Round off each of these to the nearest 10.


3. Round the following numbers off to the nearest hundred using the number lines.

30 31 32 33 34 35 36 37 38 39 40

70 71 72 73 74 75 76 77 78 79 80

90 91 92 93 94 95 96 97 98 99 100

500 600

800 900

300 400

a. 35

b. 3

c.

a. 530

b. 0

c. 3 0

Flowers Blocks Marbles

12


1. Round the following numbers off to the nearest hundred using the number lines provided.

Rounding off to the nearest hundred.

Round off the numbers that start with a digit from 1 to 4 to the previous (lower) hundred. Example: 40 rounded off to the nearest hundred would be 0.

Round off numbers that end in a digit from 5 to 9 to the next (higher) hundred.Example: 70 rounded off to the nearest hundred would be 100.

0 10 20 30 40 50 60 70 80 90 100

0 10 20 30 40 50 60 70 80 90 100

1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300

1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300

1200 1210 1220 1230 1240 1250 1260 1270 1280 1290 1300

1200 1300

1200 1300


When we want to write 30 + 60 is equal to 90, we use the symbol

=

When we want to write 60 rounded off to the nearest 100 we use the

symbol

=

5 Rounding off to the nearest 100Te

rm 1

a. 12 0

b. 1 230

c. 1240

d. 1250

e. 125

13

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Rounding off

– Round each off to the nearest 100.



1500 1510 1520 1530 1540 1550 1560 1570 1580 1590 1600

1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900

900 910 920 930 940 950 960 970 980 990 1000

1600 1700

1700 1800

1300 1400

a. 1550

b. 1 30

c. 4

a. 1 30

b. 1 0

c. 13 0

14

1. Fill in the missing number.




a. 3 + 7 =

a. 13 + 7 =

a. 230 + 70 =

a. 130 + 170 =

b. 8 + = 10

b. 8 + = 20

b. 240 + 60 =

b. 140 + = 300

c. 3 + = 10

c. 3 + = 20

c. 240 + = 300

c. 130 + = 300

d. 10 – = 4

d. 20 – = 4

d. 230 + = 300

d. 300 – = 160

Here is one combination that will give you 20. How many more combinations can you come up with? Write them down on an extra sheet of paper.

6a Number sentencesTe

rm 1

0 2 4 6 8 10 12

3 + 17 =

14 16 18 20

15

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Date:

a. 46 – 46 = b. – = 0 c. 165 – = 165

d. 37 – 4 + 4 = e. 27 + 6 – 6 =

a. 8 + 3 = therefore 11 – 3 =

a. 47 + 22 = therefore – =

b. 56 + 31 = therefore – =

58 – 58 = 264 – 264 = 304 – = 304

7 + 5 = therefore 12 – 5 =

Example:

Example:


6. Calculate and show on a number line.


When you subtract a number from itself

you get zero.

You can use addition to check

subtraction.

0 1 2 3 4 5 6 7 8 9 10 11 12

22

continued ☛

0

12 7

0 0

16

6b Number sentences continued

Term

1

a. 13 + 46 = or 46 + 13 = b. 36 + 297 = or 297 + 36 =

c. 27 + 94 = or 94 + 27 = d. 12 + 15 = 15 +

e. + 6 = + 7 f. 125 + 164 = 164 +

g. 89 + 46 = 46 + h. + 49 = + 36

i. 174 + 132 = + j. 56 – 14 = + 42

a. (3 + 2) + 1 = is the same as 3 (2 1) =

b. (31 + 26) + 19 = is the same as 31 (2 1 ) =

c. 51 + (13 + 49) = is the same as (51 13) 4 =

d. (4 + 3) + 2 = + (3 + 2)

e. (9 + 6) + 5 = 9 + ( + 5)

f. 4 + (2 + 7) = ( + ) +7

g. (8 + 1) + 4 = + (1 + 4)

h. 7 +(4 + 2) = ( + ) + 2

i. (11 + 3) + 2 = 11 + ( + 2)

8. Complete the equations.


17

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Date:

a. 13 + 46 = or 46 + 13 = b. 36 + 297 = or 297 + 36 =

c. 27 + 94 = or 94 + 27 = d. 12 + 15 = 15 +

e. + 6 = + 7 f. 125 + 164 = 164 +

g. 89 + 46 = 46 + h. + 49 = + 36

i. 174 + 132 = + j. 56 – 14 = + 42

a. 9 + 8 = 8 + 9

b. 3 + 6 = 6 – 3

c. 7 – 4 = 4 – 7

d. 10 – 5 = 5 + 10

e. 8 + 3 = 3 – 8

f. 15 – 10 = 10 – 15

g. 4 + 6 = 6 + 4

h. 4 – 6 = 6 + 4

i. 4 – 6 = 6 – 4

j. 4 + 6 = 6 – 4

k. 2 + (4 + 6) = (2 + 4) + 6

a. (3 + 2) + 1 = is the same as 3 (2 1) =

b. (31 + 26) + 19 = is the same as 31 (2 1 ) =

c. 51 + (13 + 49) = is the same as (51 13) 4 =

d. (4 + 3) + 2 = + (3 + 2)

e. (9 + 6) + 5 = 9 + ( + 5)

f. 4 + (2 + 7) = ( + ) +7

g. (8 + 1) + 4 = + (1 + 4)

h. 7 +(4 + 2) = ( + ) + 2

i. (11 + 3) + 2 = 11 + ( + 2)

10. Say if the following are true or false.

a. ou have 40 marbles in a bag. Write down all the number sentences that will give you an answer of 40. ou should only add two numbers every time.

b. What will happen if I take any two numbers that are the same, and subtract the one from the other?

Number problems

True

18

7a Addition up to 4 digitsTe

rm 1

Number Add 100 Add 10 Add 1

233

98

478

399

862

What is the difference between the numbers?

1 2 3 4 5 6 7 8 9 10

11 21 31 41 51 61 71 81 91 101

110 120 130 140 150 160 170 180 190 200

100 200 300 400 500 600 700 800 900 1 000

90 190 290 390 490 590 690 790 890 990

1. What number comes next?

a. 8, 9, 10,

b. 20, 30, 40,

c. 55, 65, 75,

d. 95, 195, 295,

e. 645, 745, 845,

f. 912, 922, 932

2. Complete the table: Add to the given number.

19

Sign:

Date:

Number Complete up to the next 10. Complete up to the next 100.

a. 35 35 + = 40 35 + = 100

b. 265 265 + = 270 265 + = 300

c. 342 342 + = 350 342 + = 400

d. 486 486 + = 490 486 + = 500

e. 964 964 + = 964 + =

3. Fill in the missing number:

a. 3 + = 10

b. 17 + = 20

c. 90 + = 100

d. 85 + = 100

e. 78 + = 100

f. 325 + = 350

g. 312 + = 400

h. 350 + = 525

i. 238 + = 400

j. 564 + = 800

4. Complete the table.

continued ☛

5 65

20

7b Addition up to 4 digits continued

Term

1

= 100 + 100 + 30 + 20 + 4 + 3

= 200 + 50 + 7

= 257

= 400 + 200 + 60 + 70 + 8 + 4

= 600 + 130 + 12

= 600 + 100 + 30 + 10 + 2

= 700 + 40 + 2

= 742

134 + 123 468 + 274

Examples:Example 1: Example 2:

100 400100 20030 6020 704 83 4

5. Use both methods above to calculate the following.

a. 644 + 120

= 600 + 100 + 40 + 20 + 4

=

=

b. 143 + 152

=

=

=

+

+

+ +

21

Sign:

Date:

5. Use both methods above to calculate the following.

What is the size of your number?

What to do:– Individual game against a group or the

class.– Roll the 10s dice.– Add the number landed on, to the fi rst

number on the blue card. Write your addition sum on a piece of paper.

– Do the same with the 2nd to the 5th number.

What you need:- Use the 10s, and 100s dice you

made before.– Piece of paper.

What you need:

+ 115 127 138 149 192

10010

d. 1 268 + 324

=

=

=

=

= e. 2 374 + 1 287

=

=

=

=

=

+

c. 394 + 468

=

=

=

=

=

+

+

22

8a AdditionTe

rm 1

Addition problems

How fast can you answer this?

1. Solve the following problems. The pictures may guide you. Also use the blue word. a. A juice company has 260 apples. They get another 250 apples. How many

apples do they have now?

and

• Add 800 + 30 + 5.• What is the sum of 300 and 400?• How many do 100 and 500 make altogether ?• What three numbers have a total of 200?• Add 25 and 1 .• What is the sum of 100 and 52?• How many altogether are 42 and 59?• Which three numbers have a total of 80?

How did the blue words help you?

What word will help you

to choose the operation?

Try to form a picture in your mind.

These are the number of

apples.

200 + 200 + + 50

=

=

=

=

+

blue words help you?

23

Sign:

Date:

b. Mandla had 5 oranges. He bought another 155 oranges. How many oranges does he have?

i. What picture do you see when you think about this problem? Draw it.

ii. What operation should you use?

iii. Solve the problem. Write it down in your writing book.

c. ur class collected 421 empty plastic bottles to recycle. The other class collected 3 5 bottles. How many empty plastic bottles did the two classes collect altogether?

Continue on an extra sheet of paper.


continued ☛

24

8b

Term

1Addition problems continued

2. Look at the pictures below and write an interesting addition word sum.


25

Sign:

Date:

3. Write an appropriate and interesting word sum for: 439 and 514. Solve it.

Counting houses …


There were 00 10 4 houses in E tension 4. Then

400 0 e tra houses were built in E tension 4.

How many houses are there now in E tension 4?

26

9a

Term

1Subtraction

What is the difference between the numbers?

1 2 3 4 5 6 8 9 10

1 28 38 48 58 68 88 98 10

20 30 40 50 60 0 80 90 100 110

100 200 300 400 500 600 00 800 900 1 000

990 1 0 2 990 3 990 4 990 5 990 6 990 0 8 990 9 990

Number Subtract 1 Subtract 10 Subtract 100

1 5

124

3

51

893

1. What number comes next?

a. 5, , ,

b. 10, 20, 30,

c. 135, 235, 335,

d. 284, 294, 304,

e. 41 , 51 , 1 ,

f. 5 4, 4, 4,

2. Complete the table: Subtract from the given number.

27

Sign:

Date:

3. Fill in the missing number:

a. 4 – = 0

b. 13 – = 10

c. 5 – = 0

d. 2 – = 0

e. 113 – =100

f. 140 – = 100

g. 341 – = 300

h. 945 – = 800

i. 864 – = 800

j. 985 – = 850

continued ☛

2829Si

gn:

Date:

9bSu

btr

actio

n c

ontin

ued

Term 1

= (9

00 –

400

) + (1

0 –

50) +

(3 –

8)

= (5

00) +

(0 –

50)

+ (1

3 –

8)

= (4

00) +

(100

– 5

0) +

(13

– 8)

= 4

00 +

50

+ 5

= 4

55

913

– 45

8

Exam

ple:

900

400

1050

38

4. C

ompl

ete

the

follo

win

g us

ing

the

met

hod

abov

e:a

. 79

8 –

164

=

(700

– 1

00) +

(90

– 60

) + (8

– 4

)

=

=

c. 9

46 –

597

=

=

=

=

=

b.

929

– 17

4

=

=

=

=

=

d.

2 68

3 –

1 24

1

=

=

=

e. 4

384

– 3

872

=

=

=

=

=

Wha

t is

the

size

of y

our n

umbe

r?

Wha

t to

do:

– In

div

idua

l ga

me

ag

ain

st a

gro

up o

r the

cl

ass

.–

Roll

the

10s

dic

e.–

Sub

tract

the

num

ber

land

ed o

n, to

the

fi rst

num

ber

on

the

blu

e ca

rd.

Writ

e yo

ur

sub

tract

ion

sum

on

a p

iece

of p

ap

er.

– D

o th

e sa

me

with

the

2nd

to th

e 5t

h nu

mb

er.

– Re

pea

t the

act

ivity

with

the

100s

and

1

000s

dic

e.–

Lea

rner

s ch

eck

ea

ch o

ther

’s s

ubtra

ctio

n su

ms.

– Th

e w

inne

r is

the

per

son

with

the

mos

t co

rrect

ans

wer

s.

Wha

t you

nee

d:-

Use

the

10s

and

100

s d

ice

pre

viou

sly m

ad

e.

– Pi

ece

of p

ap

er.

Wha

tyo

–98

4 4

21 8

43 5

77 6

59

100

10

This

is a

pro

ble

m!

–

3031Si

gn:

Date:

10a

Term 1

Sub

trac

tion

prob

lem

s

How

fast

can

you

ans

wer

thes

e?

• S

ubtra

ct 7

000

from

8 0

00.

• W

hat i

s th

e di

ffere

nce

betw

een

650

and

370

?•

Min

us 7

00 a

nd 8

5.•

Dec

reas

e 10

0 00

0 b

y 10

000

.•

Sub

tract

9 0

00 a

nd 8

20.

• R

educ

e 75

5 b

y 10

2.•

Tak

e 15

0 fro

m 1

003

.•

Tak

e aw

ay 3

7 fro

m 2

000

.

How

did

the

blue

wor

ds

help

you

?

1. S

olve

the

follo

win

g pr

oble

ms.

The

pic

ture

s m

ay g

uide

you

. A

lso

use

the

blue

wor

d.

a.

Our

sch

ool b

oug

ht 4

20 p

enci

ls. W

e us

ed 1

80 p

enci

ls. H

ow m

any

pen

cils

are

left?

b.

Mp

o is

sellin

g p

enci

ls. S

he h

ad

800

pen

cils.

She

sol

d 2

57 p

enci

ls.

How

ma

ny p

enci

ls d

oes

she

have

left?

420

- 180

= = = =

Wha

t wor

d w

ill h

elp

me

to c

hoos

e th

e op

erat

ion?

i. W

hat p

ictu

re d

o yo

u se

e w

hen

you

thin

k a

bou

t thi

s p

rob

lem

? D

raw

it.

ii. W

hat o

per

atio

n sh

ould

you

use

?

iii. S

olve

the

pro

ble

m.

Writ

e it

dow

n in

you

r wor

kboo

k.

cont

inue

d ☛

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

left –

3233Si

gn:

Date:

Your

ow

n st

ory

Term 1

Sub

trac

tion

prob

lem

s c

ontin

ued

10b

2. T

here

wer

e 78

5 ap

ples

at t

he fr

uit s

hop.

The

y so

ld 4

53. H

ow m

any

appl

es w

ere

left?

3. W

rite

an a

ppro

pria

te a

nd in

tere

stin

g su

btra

ctio

n w

ord

sum

for:

72

3 an

d 18

9. S

olve

it.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Look

at t

he p

ictu

re a

nd m

ake

you

r ow

n su

btra

ctio

n st

ory.

3435Si

gn:

Date:

11a

Add

ition

and

sub

trac

tion

prob

lem

s

How

fast

can

you

ans

wer

this

!H

ow fa

st c

an y

ou a

nsw

er th

ese?

• A

dd 5

00 a

nd 9

0.•

Subt

ract

70

from

300

.•

400

plus

46

is ...

..•

The

sum

of 3

50 a

nd 4

20 is

....

• Ta

ke 5

00 fr

om 8

00.

• D

ecre

ase

950

by

230.

• In

crea

se 1

50 b

y 37

0.•

225

and

385

are

....

Use

the

colo

urs

to

help

you

to

solv

e th

e w

ord

sum

s.

Ad

d 8

0Su

btr

ac

t 40

Ad

d 2

00Su

btr

ac

t 300

420

510

690

730

555

2. A

nsw

er th

e fo

llow

ing

ques

tions

:

a.

Wha

t is

the

opp

osite

of +

?

b.

Wha

t is

the

opp

osite

of –

?

3. C

alcu

late

the

follo

win

g. D

o th

e ca

lcul

atio

ns in

you

r wor

kboo

k.

a.

452

+ 33

6 =

b

. 28

9 +

574

=

c. 9

67 –

153

=

d

. 710

– 5

38 =

4. C

heck

you

r ans

wer

s fo

r eac

h of

the

abov

e ca

lcul

atio

ns, u

sing

the

oppo

site

op

erat

ion.

1. C

ompl

ete

the

tabl

e be

low

:

+ -

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

cont

inue

d ☛

Term 1

3637Si

gn:

Date:

11b

Term 1

Add

ition

and

sub

trac

tion

prob

lem

s c

ontin

ued

5. S

olve

the

follo

win

g pr

oble

ms:

a.

Tha

bo

and

his

siste

rs w

ere

coun

ting

ani

ma

ls a

nd b

irds

at t

he z

oo.

Tha

bo

coun

ted

234

ani

ma

ls, h

is sis

ter,

Susa

n co

unte

d 1

004

bird

s, a

nd th

eir y

oung

er

siste

r, Li

ndy,

cou

nted

538

ani

ma

ls.

i.

How

ma

ny a

nim

als

and

bird

s d

id th

ey c

ount

all

tog

ethe

r?

ii.

The

gui

de

told

them

tha

t the

y co

uld

ex

pec

t to

see

2 00

0 a

nim

als

and

bird

s.

How

ma

ny a

nim

als

did

they

not

see

?

b.

The

boo

k st

ore

bou

ght

120

0 ne

w

boo

ks a

nd th

ere

wer

e a

lrea

dy

1250

on

the

shel

ves.

The

y w

ere

all

put

on

sale

and

1 6

25 b

ooks

wer

e so

ld.

i.

How

ma

ny b

ooks

wer

e on

the

shel

ves

bef

ore

the

sale

?

ii.

How

ma

ny b

ooks

wer

e le

ft a

fter t

he s

ale

?

iii.

If t

he b

ooks

hop

sel

ls a

noth

er 5

00 b

ooks

, how

ma

ny b

ooks

are

left?

Col

oure

d nu

mbe

rs Wha

t to

do:

Pla

y in

pa

irs.

– Th

e fi r

st p

laye

r will

say:

‘Ad

d g

reen

nu

mb

ers’

– Th

e se

cond

pla

yer c

an

take

any

two

gre

en n

umb

ers

and

ad

d th

em.

If th

e p

laye

r is

corre

ct, h

e or

she

will

get

one

p

oint

.

– Th

e se

cond

pla

yer w

ill sa

y: ‘S

ubtra

ct

yello

w n

umb

ers’

. Th

e fi r

st p

laye

r ma

kes

a s

ubtra

ctio

n su

m w

ith a

ny tw

o ye

llow

nu

mb

ers.

– C

arry

on

pla

ying

. Th

e fi r

st p

erso

n w

ith a

sc

ore

of 1

0 is

the

win

ner.

+-

200

500

7517

510

450

800

2032

525

012

035

015

150

700

400

hheyey

ccouou

ntntaa

lllltto

gogetet

heher?r?

ld

irds.

e?

00 sa

lea

nd1

625

boo

ksw

ere

sold

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

3839Si

gn:

Date:

12Le

t’s ta

lk a

bou

t m

oney

Talk

abo

ut m

oney

. Lo

ok a

t the

pic

ture

and

mak

e yo

ur o

wn

stor

y.

1. C

olou

r the

com

bina

tion

that

will

giv

e yo

u:

2. H

ow m

uch

mon

ey w

ill I

have

if I

save

the

follo

win

g am

ount

s?

3. H

ow m

uch

mon

ey w

ill I

have

left

if I s

pend

the

follo

win

g am

ount

s:

4. C

alcu

late

the

follo

win

g:

5. H

ow m

any

com

bina

tions

can

you

mak

e to

get

R1,

00 ?

a.

b.

c. d.

e.

R1 R1 20c

R1 R1

R5 R2 R1

R1,5

0

R1,7

5

R2 R1 20c

50c

20c

R2 50c

50c

R1 R10

R1 50c

10c

10c

10c

5c 5c

50c

50c

a

. R2

+ R

1 =

b

. R5

+ R

20 =

c.

R1

0 +

20c

=

d

. R2

0 +

50c

=

e.

R1

+ 5

c =

a

. R5

– R

2 =

b

. R1

5 –

50c

=

c.

50

c –

2c =

d

. R1

2 –

R1,5

0c =

e.

R5

– 0,

70c

=

a

. R1

2 +

R2 –

R5

=

b

. R2

,50

+ 5

0c –

20c

=

c.

R1

5 +

5c

– 20

c =

d

. R5

+ R

1 –

R2

=

e.

R7

,25

– R1

,05

+ 20

c =

Big fi v

e …

.

Wha

t do

the

big

fi ve

and

mon

ey n

otes

ha

ve in

com

mon

?

Con

tinue

on

an

extra

she

et o

f pa

per

.

Wha

t doe

s it

mea

n if

I pa

y w

ith

“buf

falo

es”?

Term 1

4041Si

gn:

Date:

Des

crib

e th

e pa

ttern

.

Did

you

use

wor

ds s

uch

as o

dd a

nd e

ven?

13N

umb

er p

atte

rns

Term 1

1. C

ompl

ete

the fl o

w d

iagr

ams.

Inp

ut

Inp

ut

Inp

ut

Rule

Rule

Rule

Out

put

O

utp

ut

Out

put

2513

11

7185

83

6363

61

3877

75

49 58 92 31

+5+1

0

2. E

xten

d th

e fo

llow

ing

patte

rns:

a.

6, 8

, 10,

,

,

b

. 12

, 15,

18,

,

,

c. 3

0, 3

5, 4

0,

, ,

d

. 8

0, 7

0, 6

0,

, ,

e. 4

, 7, 1

0,

, ,

f.

12

, 18,

24,

,

,

g.

31,

29,

27,

,

,

h.

10, 1

4, 1

8,

, ,

i. 4

9, 4

4, 3

9,

, ,

j.

29,

26,

23,

,

,

3. I

dent

ify th

e ru

le in

eac

h ca

se.

a.

44, 4

9, 5

4, 5

9

b.

67, 7

7, 8

7, 9

7

c. 6

5, 6

8, 7

1, 7

4

d. 9

2, 8

9, 8

6, 8

3

4. P

atte

rns

are

show

n he

re.

Expl

ain

each

one

in w

ords

.

5. i.

Ide

ntify

the

patte

rn o

n ea

ch n

umbe

r boa

rd.

ii.

Exte

nd e

ach

patte

rn b

y fi v

e m

ore

num

bers

.

6. i.

Des

crib

e th

e pa

ttern

. i

i. Ex

tend

the

patte

rn b

y fi v

e m

ore

num

bers

.

i. ii.

12

34

56

78

9

11

23

45

67

89

22

46

810

1214

1618

33

69

1215

1821

2427

44

812

1620

2428

3236

55

1015

2025

3035

4045

66

1218

2430

3642

4854

77

1421

2835

4249

5663

88

1624

3240

4856

6472

99

1827

3645

5463

7281

12

34

56

78

910

1112

1314

1516

1718

1920

2122

2324

2526

2728

2930

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152

5354

5556

5758

5960

6162

6364

6566

6768

6970

7172

7374

7576

7778

7980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

0

12

34

56

78

910

1112

1314

1516

1718

1920

2122

2324

2526

2728

2930

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

5152

5354

5556

5758

5960

6162

6364

6566

6768

6970

7172

7374

7576

7778

7980

8182

8384

8586

8788

8990

9192

9394

9596

9798

9910

0

a.

b.

i. C

ount

forw

ard

s in

2s

ii. 1

21, 1

23, 1

25, 1

27, 1

29

Exam

ple:

9910

110

310

510

710

911

111

311

511

711

9Look

car

eful

ly

at th

e ar

row

s

146

151

156

161

166

171

176

181

186

191

196

4243Si

gn:

Date:

14N

umb

er p

atte

rns:

flow

dia

gram

s an

d ta

ble

sLo

ok a

t the

robo

t. W

hat i

s it

telli

ng u

s? C

ompl

ete

the

tabl

e.

5

20

6

24

7

2820

7W

hat

is m

y ru

le?

Inp

ut

Out

put

Rule

Inp

utO

utp

ut5

206

247

288 9 10

Exam

ple

1:

Exam

ple

2:

Inp

ut

Rule

Out

put

1 3 5 8 11

5 13 25 45

Inp

ut

Rule

Out

put

1 3 5 7 9

× 3

2 4 6 8 10

× 5

1 3 5 7 9

× 4

2 4 6 8 10

× 9

× 4

+ 1

1. C

ompl

ete

and

labe

l the

fl ow

dia

gram

s.a

.

d.

b.

e.

c. f.

2 4 6 8 10

1 3 5 7 9

1 2 4

18 30

× 2

× 5

× 2

+ 5

+ 2

× 3

12

34

56

78

910

× 2

0

12

34

56

78

910

× 7

0

12

34

56

78

910

× 9

12

34

56

78

910

× 4

12

34

56

78

910

× 8

12

34

56

78

910

× 3

Exam

ple:

12

34

56

78

910

× 6

612

1830

60

Rule

Out

put

2. C

ompl

ete

and

labe

l the

follo

win

g ta

bles

:

a.

c. e. f.

b.

d.

Num

ber p

atte

rn p

robl

ems

a.

Writ

e a

num

ber

pa

tter

n fo

r the

follo

win

g: I

am

cou

ntin

g in

3s.

I st

art

with

an

even

num

ber

sm

alle

r tha

n 3.

W

hat i

s m

y p

att

ern?

b.

My

inp

ut n

umb

ers

are

1, 2

, 3, 4

and

5. M

y ru

le is

x 1

0. W

hat w

ill m

y ou

tput

num

ber

s b

e?c.

M

y in

put

num

ber

s a

re 1

, 3, 4

, 5 a

nd 7

. My

rule

is x

10

x 8.

Wha

t will

my

outp

ut n

umb

ers

be?

Term 1

4445Si

gn:

Date:

3. C

ompl

ete

the

sum

s an

d sh

ow th

e m

ultip

licat

ion

sum

on

the

num

ber l

ine.

4. F

ill in

the

answ

er.

2. A

nsw

er th

e fo

llow

ing:

1. W

rite

dow

n re

peat

ed a

dditi

on, m

ultip

licat

ion

and

divi

sion

sum

s fo

r the

follo

win

g:

a.

Four

thre

es

b

. 7

gro

ups

of 5

c. 4

tens

d.

Two

gro

ups

of 6

e. 5

pa

cket

s of

5

f. S

ix b

ag

s of

3

a.

2 ×

3 =

b

. 2

x 2

x 5

=

c. D

oub

le 4

x 2

=

d.

3 x

2 x

3 =

e.

4 x

2 x

2 =

f. D

oub

le 5

x 2

=

a.

4 ×

=

16

16

÷ 4

=

b.

6 ×

=

24

24

÷ 6

=

c. 5

×

= 2

0

2

0 ÷

5 =

d.

3 ×

=

12

12

÷ 3

=

Swee

ts a

nd s

core

s

a.

My

frien

d h

as

8 sw

eets

. I h

ave

twic

e a

s m

any

. H

ow m

any

sw

eets

do

I ha

ve?

b.

I sco

red

fi ve

tim

es m

ore

tha

n m

y fri

end

. M

y fri

end

’s s

core

wa

s fo

ur.

How

muc

h d

id I

scor

e?

15M

ultip

licat

ion:

2 x

to 7

x t

able

s

Term 1

How

wou

ld y

ou u

se th

is b

oard

?Sh

ow w

ith y

our fi

nge

r, ho

w

you

will

use

the

num

ber

boar

d to

sho

w:

• 3

x 4

= 12

• 4

x 3

= 12

• 6

x 7

= 42

• 7

x 6

= 42

• 4

x 5

= 20

• 5

x 4

= 20

×1

23

45

67

89

10

11

23

45

67

89

10

22

46

810

1214

1618

20

33

69

1215

1821

2427

30

44

812

1620

2428

3236

40

55

1015

2025

3035

4045

50

66

1218

2430

3642

4854

60

77

1421

2835

4249

5663

70

88

1624

3240

4856

6472

80

99

1827

3645

5463

7281

90

1010

2030

4050

6070

8090

100

a.

i.

row

s of

ii. R

epea

ted

addi

tion:

2

+ 2

+ 2

= 6

iii.

Mul

tiplic

atio

n:

2 x

3 =

6

iv.

Div

isio

n:

6 ÷

3 =

2

b.

i.

row

s of

ii. R

epea

ted

ad

diti

on:

iii. M

ultip

lica

tion:

iv.

Div

ision

:

Hom

ewor

k

c. i.

row

s of

ii. R

epea

ted

ad

diti

on:

iii. M

ultip

lica

tion:

iv.

Div

ision

:

0 0 0 0

4 6 5 3

912

1620

2429

3236

40

4647Si

gn:

Date:

Spid

ers

on a

wal

l

Ther

e a

re fi

ve s

pid

ers

sittin

g o

n th

e w

all.

How

ma

ny le

gs

do

they

ha

ve a

ltog

ethe

r?

16M

ultip

licat

ion:

8 x

and

9 x

tab

les

1. C

ompl

ete

the

follo

win

g:

If a

is 3

gro

ups

of 8

. W

hat w

ill b

and

c b

e? W

rite

dow

n re

peat

ed a

dditi

on,

mul

tiplic

atio

n an

d di

visi

on s

ums

for t

he fo

llow

ing:

a.

i. __

____

row

s of

___

___

ii.

Repe

ated

add

ition

:

8

+ 8

+ 8

= 24

iii.

Mul

tiplic

atio

n:

8

x 3

= 24

iv.

Div

isio

n:

24

÷ 3

= 8

b.

i.

row

s of

ii.

Rep

eate

d a

dd

ition

:

iii.

Mul

tiplic

atio

n:

iv.

Div

ision

:

Hom

ewor

k

c. i.

row

s of

ii.

Rep

eate

d a

dd

ition

:

iii.

Mul

tiplic

atio

n:

iv.

Div

ision

:

a. 1

× 8

=

2

× 8

=

3

× 8

=

4 ×

8 =

5

× 8

=

6

× 8

=

7 ×

8 =

8 ×

8 =

9

× 8

=

10 ×

8 =

16

÷ 8

=

32

÷ 8

=

5

6 ÷

8 =

48

÷ 8

=

72

÷ 8

=

24

÷ 8

=

40

÷ 8

=

8

÷ 8

=

64

÷ 8

=

80

÷ 8

=

b. 1

× 9

=

2

× 9

=

3

× 9

=

4 ×

9 =

5

× 9

=

6

× 9

=

7 ×

9 =

8 ×

9 =

9

× 9

=

10 ×

9 =

18

÷ 9

=

36

÷ 9

=

5

4 ÷

9 =

72

÷ 9

=

81

÷ 9

=

27

÷ 9

=

45

÷ 9

=

9

÷ 9

=

63

÷ 9

=

90

÷ 9

=

2. C

ompl

ete

the

sum

s an

d sh

ow th

e m

ultip

licat

ion

sum

on

the

num

ber l

ine.

3. C

ompl

ete

the

tabl

e.

4. F

ill in

the

answ

er.

5. A

nsw

er th

e fo

llow

ing:

a.

4 ×

= 3

2 3

2 ÷

4 =

b.

6 ×

= 4

8 4

8 ÷

6 =

c. 9

×

= 8

1 8

1 ÷

9 =

08

1624

3240

4856

6472

80

0 0

6 9

12 18

18 27

24 36

30 45

36 54

42 63

48 72

54 81

60 90

12

34

56

78

910

× 8

816

2432

a. 2

× 8

=

b. 7

× 9

=

c.

3 ×

2 ×

9 =

d. 1

× 8

=

e. 3

× 9

=

f.

2 ×

2 ×

2 ×

9 =

g. 3

× 3

× 8

=

h. 5

× 8

=

i.

2 ×

2 ×

9 =

j. 5

× 2

× 9

=

a.

Eig

ht 3

s b

. Fou

r gro

ups

of 9

c. N

ine

10s

d. 7

gro

ups

of 8

e. E

ight

9s

f. Ei

ght

gro

ups

of 8

Term 1

4849Si

gn:

Date:

Exam

ple:

My

mot

her b

oug

ht 5

0 ch

ocol

ate

at R

9 ea

ch. I

hel

p h

er to

ca

lcul

ate

the

tota

l cos

t. T

his

is w

hat I

did

in m

y he

ad

.

3. A

nsw

er th

e qu

estio

ns:

4. M

y fa

ther

buy

s 60

bot

tles

of ju

ice

at R

6 ea

ch.

How

muc

h di

d he

pay

al

toge

ther

for t

he ju

ice?

Loav

es o

f bre

ad

My

mot

her b

oug

ht 4

0 lo

ave

s of

bre

ad

at R

8 ea

ch.

My

fath

er b

oug

ht 2

0 lo

ave

s a

t R9

each

. H

ow m

uch

did

they

p

ay

alto

get

her f

or th

e b

rea

d?

17M

ultip

licat

ion:

1 x

and

10 x

tab

le

Term 1

Iden

tify

the

patte

rn. W

hat d

o yo

u th

ink

will

hap

pen

whe

n w

e m

ultip

ly w

ith 1

00?

1. S

how

the

mul

tiplic

atio

n su

m o

n th

e nu

mbe

r lin

es.

2. I

dent

ify th

e pa

ttern

s an

d de

scrib

e ea

ch.

a.

4 ×

1 =

b.

4 ×

10 =

1 x

1 =

11

x 10

= 1

0

2 x

1 =

22

x 10

= 2

0

3 x

1 =

33

x 10

= 3

0

4 x

1 =

44

x 10

= 4

0

5 x

1 =

55

x 10

= 5

0

6 x

1 =

66

x 10

= 6

0

7 x

1 =

77

x 10

= 7

0

8 x

1 =

88

x 10

= 8

0

9 x

1 =

99

x 10

= 9

0

5 x

R9 =

R45

So 5

0 x

R9 w

ill g

ive

me

R450

0 0

1 10

2 20

3 30

4 40

5 50

6 60

7 70

8 80

9 90

10 100

×1

23

45

67

89

10

11

23

45

67

89

10

22

46

810

1214

1618

20

33

69

1215

1821

2427

30

44

812

1620

2428

3236

40

55

1015

2025

3035

4045

50

66

1218

2430

3642

4854

60

77

1421

2835

4249

5663

70

88

1624

3240

4856

6472

80

99

1827

3645

5463

7281

90

1010

2030

4050

6070

8090

100

a. H

ow fa

st c

an

you

calc

ula

te th

e a

nsw

ers?

1

× 10

=

7 ×

10 =

6

× 10

=

2 ×

10 =

9

× 10

=

5 ×

10 =

3

× 10

=

10 ×

10

=

9

× 10

=

4 ×

10 =

b. F

ind

the

miss

ing

num

ber

:

2

× =

2

2 ×

= 2

0 2

×

= 2

00

4

× =

8

4 ×

= 8

0 2

×

= 8

00

9

× =

27

9 ×

= 2

70

9 ×

=

2 7

00

c. W

hat d

o yo

u no

tice?

___

____

____

____

____

____

____

____

____

____

____

____

____

_

If 3

x 1

= 3,

then

3

x 10

= 3

0, a

nd

3 x

100

= 30

0

5051Si

gn:

Date:

18a

Tim

e

Wha

t is

the

time?

Giv

e yo

ur a

nsw

er in

hou

rs a

nd m

inut

es.

Term 1

60 in

terv

als

– on

e fo

r ea

ch

min

ute

in

an

hour

The

hand

m

oved

5

ma

rks.

10

mor

e m

ark

s.

5:00

5:05

5:15

5 m

inut

es la

ter

10 m

inut

es la

ter

3. W

rite

dow

n in

wor

ds th

e tim

es s

how

n on

the

cloc

k:

f. g

. h.

i. j.

a.

b.

c.

d.

e.

1. D

raw

a li

ne fr

om th

e cl

ock

face

to th

e di

gita

l clo

ck w

ith th

e sa

me

time.

7:05

6:45

6:50

7:15

a.

b.

c.

d.

2. W

rite

the

follo

win

g as

dig

ital t

ime.

a.

b.

c.

cont

inue

d ☛

5253Si

gn:

Date:

Term 1

d.

e.f.

6. I

left

hom

e at

06:

45 a

nd a

rrive

d at

sch

ool a

t 07:

25. H

ow lo

ng d

id it

take

me

to

get t

here

?

d.

f.e.

5. W

hat i

s th

e du

ratio

n fro

m c

lock

1 to

clo

ck 2

?

a.

b.

c..

c.b

.

18b

Tim

e c

ontin

ued

How

man

y …

… h

ours

do

you

sleep

ea

ch n

ight

?

... h

ours

do

you

go

to s

choo

l ea

ch d

ay?

… m

inut

es d

o yo

u ta

ke to

ea

t you

r lun

ch?

… m

inut

es d

o yo

u ta

ke to

get

dre

ssed

in th

e m

orni

ng?

4. D

raw

in th

e fo

llow

ing

times

on

the

cloc

ks:

a.

1 o’

cloc

k b

. 3

o’cl

ock

c. 8

o’c

lock

d.

11 o

’clo

ck

e. 3

:45

f.

15:

20

g.

9:30

h. 1

0:40

i 22

:10

5455Si

gn:

Date:

Cal

enda

r art

Ma

ke a

ca

lend

ar f

or th

e m

onth

of y

our b

irth.

Dec

ora

te it

with

a p

hoto

gra

ph

or a

dra

win

g o

f you

rsel

f.

Giv

e it

to s

omeo

ne s

pec

ial.

19a

Mor

e tim

e

Wha

t is

the

time?

Term 1

1. A

nsw

er th

ese

ques

tions

on

seco

nds,

min

utes

and

hou

rs.

2. C

ompl

ete

the

follo

win

g:

a. T

he re

d h

and

on

the

cloc

k sh

ows

us

.

b. I

t ta

kes

sec

ond

s to

com

ple

te o

ne c

ircle

.

c.

sec

ond

s =

1 m

inut

e.

a.

b.

c.d. T

he g

reen

ha

nd o

n th

e cl

ock

show

s us

.

e. It

take

s m

inut

es to

com

ple

te o

ne c

ircle

.

f. m

inut

es =

1 h

our.

g. T

he b

lue

hand

on

the

cloc

k sh

ows

us

.

h. It

take

s h

ours

to c

omp

lete

one

circ

le.

i. h

ours

= o

ne d

ay,

h

ours

=

a d

ay.

j. If

the

red

ha

nd m

oves

from

12

to 1

, it m

oves

s

econ

ds.

k. If

the

gre

en h

and

mov

es fr

om 1

2 to

2, i

t mov

es

min

utes

.

l. If

the

blu

e ha

nd m

ove

from

12

to 5

, it m

oves

h

ours

.

a. C

omp

lete

the

tab

le b

elow

fi llin

g in

the

num

ber

of d

ays

in e

ach

mon

th.

b.

Will

Feb

rua

ry a

lwa

ys h

ave

the

sam

e nu

mb

er o

f da

ys?

W

hy o

r why

not

?

c. C

omp

lete

the

tab

le a

nd th

en a

nsw

er th

e q

uest

ions

bel

ow.

i. H

ow m

any

mon

ths

are

ther

e in

a y

ear?

ii. H

ow m

any

da

ys a

re th

ere

in a

yea

r?

iii. W

ill w

e ha

ve th

e sa

me

num

ber

of d

ays

ea

ch y

ear?

Why

or w

hy n

ot?

60 s

econ

ds =

1 m

inut

e24

hou

rs =

1 d

ay

12 m

onth

s =

1 ye

ar

60 m

inut

es =

1 h

our

7 da

ys =

1 w

eek

365

= 1

yea

r

+/-

4 w

eeks

= 1

mon

th

Min

utes

12

34

Seco

nds

60

Hou

rs1

23

4

Min

utes

Da

y1

23

4

Hou

rs

3. C

ompl

ete

the

ques

tions

on

days

, wee

ks, m

onth

s an

d ye

ars.

Month

January

February

March

April

May

June

July

August

September

October

November

December

Da

ys

Month

January

February

March

April

May

June

July

August

September

October

November

December

Total

Da

ys

Da

ysle

ft

1 2

1 4

Not

e th

at t

he

num

ber

of d

ays

left

dep

end

s on

whe

n yo

u d

o th

is.

cont

inue

d ☛

5657Si

gn:

Date:

Cou

nt th

e da

ys

How

ma

ny d

ays

will

it b

e fro

m 2

3 Fe

bru

ary

to 1

2 Ju

ly?

Will

it b

e th

e sa

me

for e

very

yea

r?

19b

Cal

cul

atio

n of

tim

e

Term 1

Look

at t

he m

onth

of A

pril

and

com

plet

e th

e ta

ble.

1. U

se th

e Ju

ne a

nd J

uly

cale

ndar

to fi

ll in

the

tabl

e be

low

.

2. L

ook

at th

e D

ecem

ber c

alen

dar a

nd a

nsw

er th

e qu

estio

ns.

3. C

ompl

ete

the

cale

ndar

for t

he m

onth

you

r birt

hday

is in

.

Ap

ril 2

015

Sun

Mon

Tues

Wed

Thur

sFr

iSa

t

12

34

56

78

910

11

1213

1415

1617

18

1920

2122

2324

24

2627

2829

30

June

201

5

Sun

Mon

Tues

Wed

Thur

Fri

Sat

12

34

56

78

910

1112

13

1415

1617

1819

20

2122

2324

2526

27

2829

30

July

201

5

Sun

Mon

Tues

Wed

Thur

Fri

Sat

12

34

56

78

910

11

1213

1415

1617

18

1920

2122

2324

25

2627

2829

3031

Dec

emb

er 2

015

Sun

Mon

Tues

Wed

Thur

Fri

Sat

12

34

5

67

89

1011

12

1314

1516

1718

19

2021

2223

2425

26

2728

2930

31

Sun

Mon

Tues

Wed

Thur

Fri

Sat

Da

tes

from

__

to _

__N

umb

er o

f da

ys

1 –

15

Ap

ril

7 –

11

Ap

ril

10 –

13

Ap

ril

27 –

30

Ap

ril

20 –

25

Ap

ril

Dat

esN

umbe

r of d

ays

Nam

e of

sta

rting

day

Wha

t will

the

nam

e of

th

e ne

xt d

ay a

fter t

he

last

dat

e be

?

a. 2

5 Ju

ne –

29

June

b. 2

7 Ju

ne –

2 J

uly

c. 2

4 Ju

ne –

1 J

uly

d. 3

0 Ju

ne –

3 J

uly

e. 1

6 Ju

ne –

2 A

ugus

t

a. O

n w

hat d

ay

is N

ew Y

ear’s

Da

y?

b. W

hat h

ap

pen

s in

Sou

th A

frica

if a

p

ublic

hol

ida

y is

on a

Sun

da

y?

c. H

ow m

any

da

ys is

it fr

om C

hrist

ma

s to

New

Yea

r’s D

ay?

d. O

n w

hat d

ay

did

the

scho

ol s

tart

this

yea

r? H

ow m

any

da

ys a

go

wa

s it?

5859Si

gn:

Date:

Tally

com

petit

ion

…

In p

airs

see

who

ca

n co

unt t

he ta

llies

the

fast

est.

20D

ata

Term 1

Writ

e yo

ur n

ame

as a

cod

e.

Pete

rPa

lesa

Sue

Tha

bo

Jab

u

Gug

uJo

nath

an

Ann

Mus

aZa

nder

Lies

elW

illia

mJo

lene

Sip

hoLu

cy

Vero

nica

John

Lee

Sam

Nom

sa

Mp

hoA

ndile

Stev

enM

ba

liBo

ngi

Nam

es w

ith _

___

lette

rsTa

lly

3 4 5 6 7 8

1. C

ompl

ete

the

follo

win

g:

2. U

se th

e ta

ble

abov

e to

com

plet

e th

is ta

ble.

3. A

nsw

er th

e qu

estio

ns u

sing

you

r tal

ly.

Nam

es in

my

clas

s

AB

CD

EF

GH

IJ

KL

M

12

34

56

78

910

1112

13

NO

PQ

RS

TU

VW

XY

Z

1415

1617

1819

2021

2223

2425

26

a.

Writ

e d

own

your

na

me.

b.

How

ma

ny le

tter

s d

o yo

u ha

ve in

you

r na

me?

c.

Writ

e d

own

a fr

iend

’s n

am

e.

d.

How

ma

ny le

tter

s d

oes

her o

r his

nam

e ha

ve?

a. H

ow m

any

chi

ldre

n ha

ve 6

lett

ers

in th

eir n

am

e?

b. H

ow m

any

chi

ldre

n ha

ve 4

lett

ers

in th

eir n

am

e?

c. H

ow m

any

chi

ldre

n ha

ve 7

lett

ers

in th

eir n

am

e?

d. H

ow m

any

chi

ldre

n ha

ve 8

lett

ers

in th

eir n

am

e?

e. W

hat n

umb

er o

f let

ters

in a

na

me

is th

e m

ost p

opul

ar?

f. D

o yo

u kn

ow a

nin

e or

mor

e le

tter

na

me?

Writ

e it

dow

n.

g. W

ho in

you

r cla

ss u

ses

a s

horte

ned

ver

sion

of h

is or

her

na

me?

h. W

hy d

o yo

u th

ink

peo

ple

som

etim

es ra

ther

use

a 3

lett

er n

am

e lik

e

Sam

and

not

Sa

ma

ntha

?

Dec

ode.

Wha

t is

my

nam

e?

22 5

18

15 1

4 9

3 1

6061Si

gn:

Date:

3. D

raw

a p

icto

grap

h to

repr

esen

t the

follo

win

g in

form

atio

n.

In o

ur s

cien

ce c

lass

, our

task

wa

s to

go

and

sea

rch

for i

nsec

ts in

ou

r ga

rden

s in

ord

er to

see

wha

t ins

ects

ther

e a

re a

t thi

s tim

e of

yea

r.

I fou

nd th

e fo

llow

ing

in a

sec

tion

of 2

sq

uare

met

res

in m

y g

ard

en:1

0 ro

se

bee

tles,

one

lad

ybird

, thr

ee b

ees,

two fl i

es, n

ine

ant

s a

nd s

ix c

ate

rpilla

rs.

4. B

ased

on

the

abov

e gr

aph:

a

. W

hat t

ime

of y

ear d

o yo

u th

ink

it m

ight

be?

(Dur

ing

whi

ch s

easo

n(s)

mig

ht

certa

in in

sect

s b

e fo

und

gen

era

lly?)

5. S

ugge

st s

ome

data

that

wou

ld b

e ea

sy a

nd in

tere

stin

g to

see

/rea

d in

a

pict

ogra

ph (r

athe

r tha

n in

a b

ar g

raph

).

6. W

ho m

ight

be

inte

rest

ed in

the

grap

h yo

u’ve

sug

gest

ed a

bove

, and

why

?

b

. If

I loo

ked

in a

sec

tion

of 4

sq

uare

met

res,

mor

e or

less

how

ma

ny o

f ea

ch

kind

of i

nsec

t cou

ld I

exp

ect t

o fi n

d?

c.

Do

you

thin

k I w

as

look

ing

at a

pa

tch

of la

wn

or a

fl ow

er b

ed?

Why

?

21a

Pic

togr

aphs

and

bar

gra

phs

Term 1

Wha

t is

a pi

ctog

raph

?

A P

icto

gra

ph

is a

wa

y of

sho

win

g d

ata

usin

g p

ictu

res.

Ea

ch p

ictu

re is

a s

ymb

ol o

f (a

cer

tain

num

ber

of)

the

phy

sica

l ob

ject

s b

eing

cou

nted

.

1. In

the

pict

ogra

ph b

elow

, wha

t doe

s ea

ch

rep

rese

nt?

How

do

you

know

?

2. D

raw

the

key

of th

is g

raph

.

Our

cla

ss’s

favo

rite

food

KEY:

Ha

mb

urg

ers

Hot

dog

sPi

zza

sPa

sta

Coo

ked

mea

l

6263Si

gn:

Date:

9. D

raw

a b

ar g

raph

of t

his

info

rmat

ion.

O

ur c

lass

vot

ed fo

r our

cla

ss re

pre

sent

ativ

e on

the

LRC

, and

the

follo

win

g le

arn

ers

each

got

the

follo

win

g n

umb

er o

f vot

es:

Sifi s

o: 8

N

onto

bek

o: 1

7

Jann

ie: 5

Fa

ith: 1

0

Shel

ly: 9

10. A

ccor

ding

to y

our g

raph

:

a.

How

ma

ny le

arn

ers

vote

d?

b

. W

ho w

on?

c.

Wou

ld y

ou s

ay

tha

t the

win

ner w

on ‘b

y a

land

slid

e’ (b

y a

big

ma

jorit

y)?

Exp

lain

yo

ur a

nsw

er.

Dem

ocra

cy in

the

clas

sroo

m

You

are

the

‘ma

nag

er’ o

f the

cla

ss re

pre

sent

ativ

e el

ectio

n w

inne

r. M

ake

a p

oste

r for

the

cla

ssro

om,

lett

ing

eve

ryon

e kn

ow w

ho w

on a

nd b

y ho

w m

uch.

Use

a g

rap

h on

the

pos

ter.

It m

ust b

e a

n ey

e-ca

tchi

ng p

oste

r tha

t sho

ws

how

pro

ud th

e w

hole

cla

ss a

re a

bou

t ha

ving

ele

cted

thei

r new

cla

ss

rep

rese

nta

tive.

Eva

lua

te e

ach

oth

er’s

pos

ters

. Loo

k es

pec

ially

at h

ow th

e g

rap

hs w

ere

used

– w

ere

they

use

d c

rea

tivel

y to

hel

p m

ake

the

cla

ss a

nd w

inne

r loo

k re

ally

goo

d?

21b

Pic

togr

aphs

and

bar

gra

phs

con

tinue

d

Term 1

7. E

very

bar

gra

ph s

houl

d ha

ve a

t lea

st th

ree

labe

ls. W

hat a

re th

ey?

8. W

hat i

s th

is a

gra

ph o

f? H

ow d

o yo

u kn

ow?

6465Si

gn:

Date:

22a

2-D

sha

pes

A p

olyg

on is

a s

hape

form

ed b

y th

ree

or m

ore

stra

ight

line

s. Id

entif

y th

e po

lygo

ns.

A re

gula

r pol

ygon

has

all

its a

ngle

s eq

ual a

nd a

ll its

sid

es o

f equ

al le

ngth

.

Rect

ang

le

Hex

ag

on

Pent

ag

on

Squa

re

Tria

ngle

1. D

raw

a:

a.

a.

d.

d.

g.

b.

b.

e.

e. h.c.

c.

f.

f. i.2.

Say

if th

e si

des

are

curv

ed, s

traig

ht o

r cur

ved

and

stra

ight

.

5. N

ame

the

shap

e an

d gi

ve th

e nu

mbe

r of s

ides

it h

as.

3. D

raw

the

follo

win

g on

the

grid

bel

ow:

a. A

sha

pe

with

onl

y cu

rved

sid

es.

b. A

sha

pe

with

stra

ight

and

cur

ved

sides

.c.

A s

hap

e w

ith s

traig

ht s

ides

onl

y.

6. D

raw

the

follo

win

g on

the

grid

bel

ow:

a

. Tr

iang

le

b.

Qua

dril

ate

ral

c.

Pe

nta

gon

d

. H

exa

gon

4. C

an a

sha

pe h

ave

thre

e st

raig

ht s

ides

and

one

cur

ved

side

?

a. S

traig

ht li

neb.

Cur

ved

line

Term 1

cont

inue

d ☛

Rect

angl

e (4

)

6667Si

gn:

Date:

22b

7. D

raw

the

follo

win

g sh

apes

. All

thei

r sid

es m

ust b

e eq

ual.

9. D

raw

the

follo

win

g s

hape

s. T

heir

side

s m

ust b

e un

equa

l.

8. D

raw

a p

olyg

on w

ith 1

0 eq

ual s

ides

.

a.

tria

ngle

b

. sq

uare

c.

pen

tag

on

d.

hexa

gon

e.

qua

dril

ate

ral

f. p

olyg

on o

f you

r cho

ice

a.

tria

ngle

b

. oct

ag

on

c. p

enta

gon

d.

hexa

gon

e

. q

uad

rila

tera

l f.

pol

ygon

of y

our c

hoic

e

2-D

sha

pes

con

tinue

d

Term 1

6869Si

gn:

Date:

23a

Mul

tiplic

atio

n: 1-

digi

t by

2-di

git a

nd

2-di

git b

y 2-

digi

t

Giv

e th

e to

tal o

f the

num

bers

in e

ach

shap

e. U

se m

ultip

licat

ion.

4 44

4

44

4

44

square8

8

8

octagon

88

88

88

88

9

99

9

99

pent

agon

555

55

55

5

hexagon

5

55

5

rect

angl

e

squa

re

pent

agon

triangle

3030

9010

1010

1010

10

1010

1010

10

5050

5050

5050

50

9090 90

9090

9090

90

30 3030

3030

30

2. F

ind

the

mul

tiple

s. T

he e

xam

ple

belo

w w

ill h

elp

you

to c

ompl

ete

the

othe

r tab

les.

The

mul

tiple

s of

2 a

re 2

, 4, 6

, 8, 1

0, 1

2,

,,

, ,

,

26

104

812

Mul

tiple

s of

2

a.

b.

The

mul

tiple

s of

3 a

re 3

, 6, 9

, ,

, ,

, ,

The

mul

tiple

s of

5 a

re

, ,

, ,

, ,

,

Mul

tiple

s of

3

Mul

tiple

s of

5

31.

Com

plet

e th

e ta

ble

belo

w.

Num

be

rx

10x

20x

30x

40X

50

4 5 7 8 9 10 20 30 40 50

Term 1

cont

inue

d ☛

7071Si

gn:

Date:

23b

Mul

tiplic

atio

n: 1-

digi

t by

2-di

git a

nd

2-di

git b

y 2-

digi

t c

ontin

ued

Term 1

Mul

tiple

s of

10

The

mul

tiple

s of

10

are

,

, ,

, ,

10 x

1

10

10 x

3

30

10 x

510

x 2

20

10 x

4

10 x

610

x 8

10 x

10

10 x

710

x 9

c.

4. U

se th

e m

etho

d be

low

to c

alcu

late

the

mul

tiplic

atio

n su

ms.

Writ

e th

e st

eps

in y

our w

orkb

ook.

Exam

ple:

16 x

7

= (1

0 +

6) x

7=

(10

x 7)

+ (6

x 7

)=

70

+ 42

= 7

0 +

40 +

2=

110

+2

= 11

2

a. 1

4 x

6

= = = = = = c. 3

7 x

8

= = = = = =

b. 2

5 x

3

= = = = = =

3. A

re th

ese

mul

tiple

s of

(ex

tend

the

patte

rn):

a.

10?

50,

60,

70,

80,

b.

20?

260

, 280

, 300

, 320

,

c. 4

0? 1

60, 2

00, 2

40, 2

80,

d.

100?

200

, 300

, 400

, 500

,

e. 9

0? 1

80, 2

70, 3

60, 4

50,

How

fast

are

you

?

Wha

t to

do:

– Th

e a

im is

to s

ee

how

fast

you

ca

n fi l

l in

the

ans

wer

s in

the

whi

te re

cta

ngle

s.

– M

ultip

ly e

ach

col

our

num

ber

on

the

circ

le b

y th

e sa

me

colo

ur re

cta

ngle

’s

to g

et y

our a

nsw

er.

3080

1040

5040

2090

9030

5050

2010

309

6020

8060

2 8

47

106

7

7273Si

gn:

Date:

24a

Term 1

Gro

upin

g pr

oble

ms

Tell

a st

ory

abou

t the

gro

ups.

1.

How

man

y gr

oups

are

ther

e?

gro

ups

of

Ad

diti

on s

um:

Mul

tiplic

atio

n su

m:

Div

ision

sum

:D

ivisi

on s

um:

Div

ision

sum

:

Div

ision

sum

:

Ad

diti

on s

um:

Mul

tiplic

atio

n su

m:

Ad

diti

on s

um:

Mul

tiplic

atio

n su

m:

Ad

diti

on s

um:

Mul

tiplic

atio

n su

m:

gro

ups

ofg

roup

s of

gro

ups

of

2. C

ompl

ete

draw

ings

and

mul

tiplic

atio

n an

d di

visi

on s

ums

of th

e fo

llow

ing:

4 g

roup

s of

ea

ch

8 sh

are

d b

etw

een

4

40 s

hare

d b

etw

een

4

8 sh

are

d b

etw

een

4

200

sha

red

bet

wee

n 2

8 sh

are

d b

etw

een

4

600

sha

red

bet

wee

n 6

4 g

roup

s of

10

each

5 g

roup

s of

2 e

ach

2 g

roup

s of

100

ea

ch

6 g

roup

s of

2 e

ach

6 g

roup

s of

100

ea

ch

Mul

tiplic

atio

n su

m:

Mul

tiplic

atio

n su

m:

Mul

tiplic

atio

n su

m:

Mul

tiplic

atio

n su

m:

Mul

tiplic

atio

n su

m:

Mul

tiplic

atio

n su

m:

Div

ision

sum

:

Div

ision

sum

:

Div

ision

sum

:

Div

ision

sum

:

Div

ision

sum

:

Div

ision

sum

:

4 x

2 =

8

8 ÷

2 =

4

cont

inue

d ☛

7475Si

gn:

Date:

24b

Gro

upin

g pr

oble

ms

con

tinue

d

Exam

ple

1:84

÷ 4

Let u

s w

rite

it a

s 4

x

= 8

4

You

can

say

4 x

20 =

80.

You

stil

l nee

d 4

4 x

21 =

84

So 8

4 ÷

4 =

21

Exam

ple

2:75

÷ 4

(70

+ 5)

÷ 4

= (7

0 ÷

4) +

(5 ÷

4)

= (1

7 re

m 2

) + (5

÷ 4

)=

17 +

(7 ÷

4)

= 17

+ 1

rem

3=

18 re

m 3

3. C

alcu

late

the

follo

win

g:

4. C

alcu

late

the

follo

win

g:

a.

37 ÷

3 =

a. 3

7 ÷

3 =

d.

65 ÷

5 =

d. 6

7 ÷

5 =

b.

98 ÷

5 =

b. 9

8 ÷

5 =

e. 3

9 ÷

3 =

e. 3

8 ÷

3 =

c. 8

8 ÷

4 =

c. 8

9 ÷

4 =

f. 7

8 ÷

6 =

f. 79

÷ 6

=

Swee

t mon

ey …

a.

I ha

ve 9

7 sw

eets

. I n

eed

to d

ivid

e it

am

ong

st 5

chi

ldre

n. H

ow m

any

sw

eets

will

be

left

over

?b

. I h

ave

R95

. H

ow m

any

cup

ca

kes

of R

8 ca

n I b

uy?

Will

I get

any

cha

nge?

c. M

y m

othe

r bou

ght

80

met

res

of fa

bric

to m

ake

sca

tter

cus

hion

s fo

r 9 p

eop

le.

How

muc

h fa

bric

will

she

have

for e

ach

per

son?

Term 1

7677Si

gn:

Date:

25N

umb

ers

0 to

2 0

00

Term 2

How

man

y of

thes

e bl

ocks

do

you

need

in o

rder

to g

et a

tota

l of 2

000

sm

all c

ubes

?

1. C

ompl

ete

the

follo

win

g:

4.

Com

plet

e th

e fo

llow

ing

usin

g th

e fi r

st q

uest

ion

to g

uide

you

.

3. W

rite

the

num

bers

in q

uest

ion

2 in

wor

ds.

2.

Writ

e th

e nu

mbe

r in

the

corre

ct c

olum

n:

a. 1

000

+ 5

00 +

90

+ 3

=

b. 1

000

+ 9

00 +

10

+ 6

=

c. 1

000

+ 2

00 +

9 =

d. 1

000

+ 3

0 +

5 =

e. 1

000

+ 2

=

a.

1 45

6 =

1 th

ousa

nd +

4 h

und

red

s + 5

tens

+ 6

uni

ts

b.

1 23

4 =

c. 1

845

=

d.

1 30

4 =

e. 1

003

=

Thou

sand

sH

undr

eds

Tens

Units

a.

1 23

4

b.

948

c.1

028

d.

1 60

7

e.1

060

1 00

0

1 00

0

1 00

0

1 00

0

1 00

0

500

900

200

90 10 30

3 6 9 5 2

1593

7879Si

gn:

Date:

1. A

rrang

e th

e nu

mbe

rs fr

om th

e sm

alle

st to

the

bigg

est.

3. W

hat i

s th

e va

lue

of th

e un

derli

ned

digi

t?

4. C

ompl

ete

the

follo

win

g:

2. F

ill in

< o

r >.

a. 1

231

, 1

213

, 1 3

12 ,

1 13

2 , 1

123

,

b.1

945

, 1

549

, 1 5

59 ,

1 95

4 , 1

459

,

c. 1

436

, 1

346

, 1 6

34 ,

1 36

4 , 1

654

,

d. 1

050

, 1

005

, 1 5

00 ,

1 50

5 , 1

055

,

e. 1

414

, 1

441

, 1 4

11 ,

1 14

4 , 1

444

,

a.

849

b

. 1

954

c. 1

489

d

. 1 7

77

e. 1

841

f. 1

847

a. U

se e

ach

dig

it on

ce, m

ake

the

sma

llest

4-d

igit

num

ber

:

b. U

se e

ach

dig

it on

ce, m

ake

the

larg

est 4

-dig

it nu

mb

er:

c. Y

ou c

an

use

one

dig

it tw

ice,

ma

ke th

e sm

alle

st 4

-dig

it nu

mb

er:

d. Y

ou c

an

use

one

dig

it tw

ice,

ma

ke th

e la

rges

t 4-d

igit

num

ber

:

a.

589

5

98

b.

948

8

49

c. 1

030

1

003

d.

1 54

0 1

504

e. 1

418

1

518

f. 1

356

1

299

g. 1

988

1

898

h. 1

767

1

766

i. 1

847

1

784

j. 1

414

1

441

32

96

26M

ore

num

ber

s 0

to 2

000

Term 2

<

Find

the

mat

chin

g ca

rd a

nd c

olou

r it t

he s

ame

colo

ur. W

e di

d th

e fi r

st o

ne fo

r you

.

tens

units

thou

sand

sun

itshu

ndre

ds

tens

hund

red

sun

itsth

ousa

nds

hund

red

s

44

44

47

77

77

4 70

047

407

4 00

747

0

8081Si

gn:

Date:

27M

ore

roun

ding

off

to th

e ne

ares

t 10

Dra

w a

:•

circ

le a

roun

d th

e nu

mb

er th

at w

ill he

lp y

ou to

roun

d o

ff to

the

nea

rest

ten.

• sq

uare

aro

und

the

num

ber

tha

t will

cha

nge

whe

n yo

u ro

und

off

to th

e ne

are

st

ten.

Wha

t do

you

notic

e?

Why

do

you

thin

k w

e ro

und

off

num

ber

s?

1. C

ompl

ete

the

sent

ence

s an

d ro

und

the

num

bers

off

to th

e ne

ares

t ten

usi

ng th

e nu

mbe

r lin

es.

a

. 56

is c

lose

r to

60 th

an

50.

So 5

6 ro

und

ed o

ff to

the

nea

rest

ten

is .

b

. 13

6 is

clos

er to

th

an

. So

136

roun

ded

off

to th

e ne

are

st te

n is

.

c.

28

4 is

clos

er to

th

an

. So

284

roun

ded

off

to th

e ne

are

st te

n is

.

d

. 1

799

is cl

oser

to

tha

n . S

o 1

799

roun

ded

off

to th

e ne

are

st te

n is

.

7 8

3 6

9

2 4

1 5

50 130

5152

5354

5556

5758

5960 14

0

2. R

ound

off

each

of t

he fo

llow

ing

num

bers

to th

e ne

ares

t 10:

3. E

stim

ate

the

posi

tion

of th

e ar

row

on

the

num

ber l

ine.

4. C

ircle

the

num

ber w

hich

you

look

at w

hen

deci

ding

whe

ther

to ro

und

up o

r dow

n to

the

near

est 1

0. U

nder

line

the

num

ber w

hich

you

look

at t

o te

ll yo

u w

hat t

en y

ou

will

roun

d up

or d

own

to.

a

) 15

b

) 431

c

) 9 6

72

a

) 59

b)

734

c)

1 6

65

Roun

ding

off

…

Cre

ate

a p

ictu

re w

hich

exp

lain

s to

som

ebod

y w

ho d

oes

not u

nder

sta

nd th

e co

ncep

t of “

roun

din

g o

ff”.

(For

exa

mp

le, i

f you

are

wa

lkin

g fr

om …

to …

, and

it s

tarts

to ra

in, w

hich

pla

ce is

clo

ser?

) Re

mem

ber

to

show

ver

y ca

refu

lly th

e p

oint

at w

hich

you

sta

rt ro

und

ing

off

in th

e op

pos

ite d

irect

ion.

a

)

010

b

)

160

170

c)

2 13

02

140

Term 2

8283Si

gn:

Date:

28M

ore

roun

ding

off

to th

e ne

ares

t 100

Dra

w a

:•

circ

le a

roun

d th

e nu

mb

er th

at w

ill he

lp y

ou to

roun

d o

ff to

the

nea

rest

hun

dred

.•

squa

re a

roun

d th

e nu

mb

er th

at w

ill ch

ang

e w

hen

you

roun

d o

ff to

the

nea

rest

hu

ndre

d.

Wha

t do

you

notic

e?

1. C

ompl

ete

the

sent

ence

s an

d ro

und

the

num

bers

off

to th

e ne

ares

t hun

dred

usi

ng

the

num

ber l

ines

.

a

. 13

7 is

clos

er to

100

tha

n 20

0. S

o 13

7 ro

und

ed o

ff to

the

nea

rest

hun

dred

is

.

b

. 25

8 is

clos

er to

th

an

. So

258

roun

ded

off

to th

e ne

are

st h

undr

ed is

.

c.

8

457

is cl

oser

to

tha

n .

So 8

457

roun

ded

off

to th

e ne

are

st

hund

red

is .

d

. 2

199

is cl

oser

to

tha

n .

So 2

199

roun

ded

off

to th

e ne

are

st

hund

red

is .

2 3

5

4 5

8

2 3

2 9

100

200

110

120

130

140

150

160

170

180

190

200

300

2. R

ound

off

each

of t

he fo

llow

ing

num

bers

to th

e ne

ares

t 100

:

3. E

stim

ate

the

posi

tion

of th

e ar

row

on

the

num

ber l

ine.

4. C

ircle

the

num

ber w

hich

you

look

at w

hen

deci

ding

whe

ther

to ro

und

up o

r dow

n to

the

near

est 1

00. U

nder

line

the

num

ber w

hich

you

look

at t

o te

ll yo

u w

hat t

en y

ou

will

roun

d up

or d

own

to.

a

) 67

9

b

) 1 2

02

c)

1 6

81

a

) 59

9

b)

2 74

3

c) 8

982

Mor

e ro

undi

ng o

ff

Wha

t doe

s it

mea

n to

roun

d o

f to

the

nea

rest

:•

rand

• ce

ntim

etre

a

)

010

0

b

)

300

400

c)

2 70

02

800

Term 2

8485Si

gn:

Date:

29M

ore

num

ber

sen

tenc

es

Term 2

Qui

ck re

call.

28 +

= 30

72 +

= 8

0 56

+

= 6

054

+

= 6

0

42 +

=

50

37 +

= 4

091

+

= 1

0062

+

= 8

0

95 +

=

100

27 +

= 5

051

+

= 1

0061

+

= 9

0

36 +

=

50

25 +

= 5

038

+

= 7

021

+

= 5

0

17 +

=

50

29 +

= 8

055

+

= 9

017

+

= 1

00

a. 4

6 +

=

50

b.

15 +

=

20

c. 2

3 +

=

30

d.

29 +

=

40

e. 5

5 +

= 6

0 f.

74 +

=

80

g. 8

6 +

=

90

h. 4

5 +

=

60

i. 91

+

= 1

00

j. 75

+

= 1

00

a. 5

40 +

= 6

00

b.

230

+ =

500

c. 6

50 +

= 1

000

d

. 32

0 +

=

100

0

e. 8

80 +

= 1

000

f.

470

+

= 8

00

g. 5

50 +

= 1

000

h.

600

+

= 8

50

i. 49

0 +

= 1

000

j.

500

+

= 8

90

a. 4

5 +

=

100

b

. 32

+

= 5

0

c. 5

1 +

=

80

d.

56 +

=

90

e. 1

5 +

=

50

f. 95

+

= 1

20

g. 6

9 +

=

100

h.

44

+

= 1

50

i. 75

+

=

150

j.

31 +

=

120

a. 1

560

+

= 1

700

b

. 1

250

+ =

1 5

00

c. 1

380

+

= 1

500

d

. 1

820

+ =

1 9

00

e. 1

190

+

= 1

500

f.

1 08

0 +

= 1

500

g. 1

230

+

= 1

800

h.

1

500

+ =

1 9

80

i. 1

370

+

= 1

500

j.

1 40

0 +

= 2

000

a. 1

22 +

=

150

b

. 10

2 +

=

150

c. 1

35 +

=

180

d

. 14

1 +

=

200

e. 1

56 +

=

200

f.

115

+

= 2

00

g. 1

20 +

=

250

h.

200

+

= 3

25

i. 21

5 +

=

320

j.

250

+

= 5

50

a. 1

733

+

= 1

800

b

. 1

256

+ =

1 5

00

c. 1

612

+

= 1

800

d

. 1

347

+ =

1 4

00

e. 1

431

+

= 1

600

f.

1 67

7 +

= 2

000

g. 1

697

+

= 2

000

h.

1

244

+ =

2 0

00

i. 1

009

+

= 1

500

j.

1 31

4 +

= 2

000

1. F

ill in

the

mis

sing

num

ber.

4. F

ill in

the

mis

sing

num

ber.

2. F

ill in

the

mis

sing

num

ber.

5. F

ill in

the

mis

sing

num

ber.

3. F

ill in

the

mis

sing

num

ber.

6. F

ill in

the

mis

sing

num

ber.

Num

ber c

ard

fun

….

Wha

t to

do:

– Pl

ay

in p

airs

.–

The fi r

st p

laye

r cho

oses

a o

ne th

ousa

nd c

ard

and

then

one

of e

ach

:

hund

red

s, te

ns a

nd u

nit fl

ard

ca

rd, a

nd d

ispla

ys th

em a

s a

num

ber

.

– Th

e fi r

st p

laye

r tha

t fi lls

the

num

ber

up

to th

e ne

are

st 2

000

, get

s a

poi

nt.

– D

o th

e sa

me,

but

pla

yer t

wo

choo

ses

the

card

s. R

epea

t fi v

e tim

es.

– Th

e p

laye

r with

the

hig

hest

sco

re is

the

win

ner.

Wha

t you

nee

d:N

umb

er (fl

ard

) ca

rds.

1 0

0 0

6 0

0

5 0 6

1 0

0 0

6 5

5 0

5 06

f

In th

is g

am

e w

e w

ill on

ly p

lay

with

the

1 00

0 fl a

rd c

ard

, no

t 2 0

00 to

9 0

00. : .

8687Si

gn:

Date:

Num

be

rA

dd

10

Add

100

Add

1 0

00

808 32

450

752

990

a.

1 00

0, 1

120

, 1 2

40,

b.

900,

950

, 1 0

00,

c. 1

50, 1

80,

210,

d

. 20

7, 3

07, 4

07,

30a

Add

ition

up

to 4

-dig

it nu

mb

ers

Term 2

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

850

900

950

1 00

01

050

1 10

01

150

1 20

01

250

1 30

0

203

303

403

503

603

703

803

903

10 0

311

03

1 05

01

080

1 11

01

140

1 17

01

200

1 23

01

260

1 29

01

320

4016

028

040

052

064

076

088

01

000

1 12

0

550

700

850

1 00

01

150

1 30

01

450

1 60

0 1

750

1 90

0

1. W

hat n

umbe

r com

es n

ext?

2. C

ompl

ete

the

tabl

e:

a.

1 0

02 +

487

=

b

. 2

95 +

1 7

03 =

c. 3

21 +

902

=

d

. 8

00 +

706

=

e. 8

16 +

174

=

f.

110

+ 8

36 =

3. U

se b

oth

met

hods

abo

ve to

cal

cula

te th

e fo

llow

ing.

Writ

e do

wn

the

step

s.

cont

inue

d ☛

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

= 7

00 +

30

+ 2

+ 60

0 +

10 +

4

= 1

300

+ 40

+ 6

= 1

000

+ 3

00 +

40

+ 6

= 1

346

732

+ 61

4

Exam

ple:

700

+60

030

102

4

8889Si

gn:

Date:

30b a.

Ther

e w

ere

1 45

0 sp

ecta

tors

at t

he g

am

e. A

noth

er 3

25 a

rrive

d.

Wha

t

wa

s th

e to

tal n

umb

er o

f sp

ecta

tors

who

sa

w th

e g

am

e?

b.

Lind

i wa

lked

1 2

65 m

on

the fi r

st d

ay.

On

the

seco

nd d

ay

she

wa

s a

bit

tired

and

wa

lked

650

m?

How

far d

id s

he w

alk

in tw

o d

ays

?

4. S

olve

the

follo

win

g w

ord

prob

lem

s.

5. W

rite

an a

ppro

pria

te a

nd in

tere

stin

g w

ord

sum

for:

1 5

00 a

nd 3

00.

Solv

e it.

Wha

t is

the

size

of y

our n

umbe

r?

Wha

t to

do:

– In

div

idua

l ga

me

ag

ain

st a

gro

up o

r the

cla

ss.

– Ro

ll th

e 10

0s d

ice.

– A

dd

the

num

ber

land

ed o

n, to

the fi r

st n

umb

er o

n th

e b

lue

card

. W

rite

your

sum

on

a p

iece

of p

ap

er.

– D

o th

e sa

me

with

the

2nd

to th

e 5t

h nu

mb

er.

Wha

t you

nee

d:–

Use

the

100s

dic

e yo

u m

ad

e b

efor

e (C

ut-o

ut

3).

– Pi

ece

of p

ap

er.

ht+

1 10

060

055

01

250

975

Add

ition

up

to 4

-dig

it nu

mb

ers

con

tinue

d

Term 2

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

100

9091Si

gn:

Date:

31A

ddin

g b

y fil

ling

the

tens

Whi

ch s

um is

eas

ier t

o ad

d? W

hy?

In o

ne m

inut

e, h

ow m

any

com

bina

tions

ca

n yo

u fi n

d th

at a

dd u

p to

50?

1. F

ill u

p th

e te

ns.

3. F

ill u

p th

e hu

ndre

ds.

4. C

alcu

late

the

follo

win

g:

2. F

ill u

p th

e te

ns.

Exam

ple:

486

Exam

ple:

Ca

lcul

ate

2 4

86 +

48

2 48

6 +

48

= (2

486

+ 1

4) –

14

+ 48

=

2 50

0 +

(48

– 14

) =

2 50

0 +

34

= 2

534

Exam

ple:

a.

3 +

=

b

. 5

+ =

c. 2

+

=

d.

6 +

=

e.

1 +

=

f. 7

+

=

g.

8 +

=

h.

9 +

=

i. 4

+

=

a. 3

68

b

. 37

1

c. 6

84

d

. 519

e. 2

25

f.

568

g. 2

74

h.

479

i. 3

83

a. 3

526

+ 9

7 =

b. 6

537

+ 8

4 =

c.

4 8

33 +

95

=

d. 1

789

+ 3

9 =

e.

2 7

86 +

56

=

f. 8

976

+ 41

=

g. 4

324

+ 9

8 =

h.

8 1

59 +

62

=

i. 6

847

+ 73

=

a. 3

2 +

=

b. 4

6 +

=

c. 5

4 +

=

d. 7

2 +

=

e. 7

8 +

=

f. 6

8 +

=

g. 1

5 +

=

h. 9

4 +

=

i. 8

3 +

=

The

conc

ert

7 89

4 p

eop

le c

am

e to

see

a c

once

rt. T

here

wer

e 68

sec

urity

gua

rds.

How

ma

ny p

eop

le w

ere

in th

e st

ad

ium

?

8 +

7 =

or 1

0 +

5 =

10 +

4 =

o

r 7 +

7 =

9 +

2 =

or 1

0 +

1 =

10 +

2 =

o

r 7 +

5 =

486

+ 14

= 5

00

37 +

3

8 +

2

25 +

5=

40

= 10

= 30

14 +

6

9 +

1

68 +

2=

20

= 10

= 70

79 +

1

4 +

6

43 +

7=

80

= 10

= 50

56 +

4

7 +

3

84 +

6=

60

= 10

= 90

92 +

8

0 +

10

36 +

4

3 +

7=

10

2 +

8=

10

5 +

5=

10

1 +

9=

10

6 +

4=

10

= 10

0

= 10

= 40

Are

ther

e m

ore

com

bin

atio

ns th

at

will

ad

d u

p to

ten?

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

Find

ano

ther

fi ve

com

bin

atio

ns

tha

t will

ad

d u

p to

100

.__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

__

Term 2

9293Si

gn:

Date:

32a

Sub

trac

tion

up to

4-d

igit

num

ber

s

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

100

200

300

400

500

600

700

800

900

1 00

0

208

308

408

508

608

708

808

908

1 00

81

108

1 05

01

150

1 25

01

350

1 45

01

550

1 65

01

750

1 85

01

950

1 35

01

360

1 37

01

380

1 39

01

400

1 41

01

420

1 43

01

440

1 00

01

100

1 20

01

300

1 40

01

500

1 60

01

700

1 80

01

900

a.

1 35

0, 1

300

, 1 2

50,

b

. 1

800,

1 7

00, 1

600

,

c. 1

060

, 1

050,

1 0

40,

d

. 99

0, 8

90, 7

90,

1. W

hat n

umbe

r com

es n

ext?

Num

be

rSu

btr

ac

t 10

Subt

ract

100

Subt

ract

1 0

00

1 84

7

1 68

0

1 02

0

1 00

6

1 95

5

2. C

ompl

ete

the

tabl

e:

Exam

ples

:Ex

ampl

e 1:

1 59

8 –

356

= (1

000

) + (5

00 –

300

) + (9

0 –

50) +

(8 –

6)

= 1

000

+ 2

00 +

40

+ 2

= 1

242

a. 1

953

– 6

41

b.

1 78

4 –

933

c. 1

988

– 1

259

d

. 1 2

04 –

684

=

3. U

se b

oth

met

hods

to s

olve

the

subt

ract

ion

sum

s.

Term 2

cont

inue

d ☛

This

is a

pr

oble

m!

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Exam

ple

2:1

642

– 1

268

= (1

000

– 1

000

) + (6

00 –

200

) + (

40 –

60)

+ (2

– 8

)=

0 +

400

+ (4

0 –

60) +

(2 –

8)

= 0

+ 4

00 +

(30

– 60

) + (1

2 –

8)=

0 +

300

+ (1

30 -6

0) +

(12

– 8)

= 0

+ 3

00 +

70

+ 4

= 3

74

9495Si

gn:

Date:

e. 1

743

– 1

399

a. T

here

are

785

ap

ple

s a

t the

frui

t sho

p. T

hey

sell

83 a

pp

les.

How

ma

ny

ap

ple

s a

re le

ft?

b. T

hab

o ha

d 2

000

litre

s of

milk

. He

sold

256

litre

s of

milk

in th

e fi r

st w

eek

and

193

litre

s in

the

seco

nd w

eek.

How

ma

ny li

tres

did

he

sell

alto

get

her?

4. S

olve

the

follo

win

g w

ord

prob

lem

s.

Wha

t is

the

size

of y

our n

umbe

r?

Wha

t to

do:

– In

div

idua

l ga

me

ag

ain

st a

gro

up o

r the

cla

ss.

– Ro

ll th

e 10

0s d

ice.

– Su

btra

ct th

e nu

mb

er th

e d

ice

land

ed o

n, fr

om th

e fi r

st

num

ber

on

the

blu

e ca

rd. W

rite

your

sub

tract

ion

sum

on

a p

iece

of p

ap

er.

– D

o th

e sa

me

with

the

2nd

to th

e 5t

h nu

mb

er.

Wha

t you

nee

d:-

Use

the

100s

dic

e m

ad

e b

efor

e.–

Piec

e of

pa

per

.

ht–

1 94

01

930

1 91

51

936

1 99

9

32b

Sub

trac

tion

up to

4-d

igit

num

ber

s c

ontin

ued

Term 2

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

100

9697Si

gn:

Date:

33M

ore

sub

trac

tion

up to

4-d

igit

num

ber

s

If yo

u w

ant t

o su

btra

ct th

e un

its fr

om th

e un

its, t

he te

ns fr

om th

e te

ns, t

he h

undr

eds

from

the

hund

reds

and

the

thou

sand

s fro

m th

e th

ousa

nds

,wha

t will

you

do?

7 00

0

40

8 30

200

700

2 00

0

1

1. S

ubtra

ct th

e fo

llow

ing:

2. S

ubtra

ct th

e fo

llow

ing:

a. 6

0 –

20 =

b. 5

– 2

=

c

. 800

– 4

00 =

d. 6

00 –

400

=

e.

9 0

00 –

3 0

00 =

f

. 700

– 1

00 =

g. 7

– 2

=

h

. 70

– 30

=

i.

5 0

00 –

1 0

00 =

a. 6

20 –

210

=b

. 640

– 3

30 =

c. 7

20 –

420

=

Exam

ple

1

= (3

00 +

20)

– 1

00 –

80

= 20

0 +

20 –

80

= 10

0 +

120

– 80

= 10

0 +

40=

140

320

– 18

0

3. R

ound

off

the

num

bers

to 1

000

and

sub

tract

it.

Subt

ract

the

give

n nu

mbe

rs

and

com

pare

the

roun

ded

off n

umbe

rs a

nsw

er w

ith th

e gi

ven

num

bers

ans

wer

.

4. S

ubtra

ct th

e fo

llow

ing:

a. 3

857

– 2

436

=

a. 3

568

– 1

689

=

b.

7 57

6 –

5 12

5 =

b. 7

485

– 3

597

=

c. 5

387

– 4

263

=

c. 5

883

– 3

995

=

Exam

ple

1:

Exam

ple:

Bre

aki

ng d

own

all

the

num

ber

s to

be

ad

ded

usin

g c

omp

ensa

tion

(cou

nter

ba

lanc

e).

Exam

ple

2:

4 68

7 –

2 14

3Ro

unde

d of

f:5

000

– 20

003

000

Ca

lcul

ate

: 8 7

43 –

5 6

848

743

– 5

684

=

(8 0

00 +

700

+ 4

0 +

3) –

5 0

00 –

600

– 8

0 –

4

= (8

000

+ 6

00 +

130

+ 1

3) –

5 0

00 –

600

– 8

0 –

4

= (8

000

– 5

000

) + (6

00 –

600

) + (1

30 –

80)

+ (1

3 –

4)

= 3

000

+ 0

+ 50

+ 9

=

3 05

9

Ca

lcul

ate

4 6

87 –

2 1

43.

4 68

7 –

2 14

3 =

4 0

00 +

600

+ 8

0 +

7 –

2 00

0 –

100

– 40

– 3

= (4

000

– 2

000

) + (6

00 –

100

) + (8

0 –

40) +

(7 –

3)

= 2

000

+ 50

0 +

40 +

4

=

2 54

4

The

cost

of w

heat

The

pric

e fo

r a c

onta

iner

of w

hea

t is

R8 2

31. S

ince

som

e of

the

whe

at i

s sp

oile

d, t

he p

rice

is d

ecre

ase

d

by

R3 7

89. W

hat p

rice

doe

s a

sho

p o

wne

r pa

y fo

r the

con

tain

er o

f whe

at?

Term 2

9899Si

gn:

Date:

34C

ompa

re a

nd o

rder

com

mon

fr

actio

ns

Wha

t fra

ctio

n of

the fl o

wer

s is

pin

k?

Term 2

1. C

ompl

ete

the

tabl

es b

elow

.

2. U

se th

e fra

ctio

n ci

rcle

s to

say

if it

is b

igge

r tha

n, s

mal

ler t

han

or e

qual

.

Fill

in <

,> o

r =

Fill

in <

,> o

r =3.

Use

the

fract

ion

strip

s to

ans

wer

the

ques

tions

.

4. W

hich

frac

tion

com

es n

ext i

f I c

ount

forw

ards

?

a.

a.

b.

c.d

.

e.

a.

b.

c.d

.

f.

d.

b.

e.

c. f.

Frac

tion

circ

le

Wha

t fra

ctio

n is

re

d?

Wha

t fra

ctio

n is

gr

een?

Frac

tion

circ

le

Wha

t fra

ctio

n is

re

d?

Wha

t fra

ctio

n is

gr

een?

a.

e.

b.

f.

c.g

.

d.

h.

Frac

tion

Dom

inoe

s

– Us

e C

ut-o

ut 6

.

– A

fter s

huffl

ing

the

dom

inoe

s, e

ach

pla

yer d

raw

s til

es to

m

ake

up

thei

r ha

nd. T

he n

umb

er o

f tile

s d

raw

n d

epen

ds

on

the

num

ber

of p

laye

rs.

– Th

e p

laye

r with

the

larg

est f

ract

ion

sta

rts. P

lay

pro

ceed

s to

th

e le

ft (c

lock

wise

). Ea

ch p

laye

r ad

ds

a d

omin

o to

an

open

en

d o

f the

layo

ut, i

f pos

sible

.

– A

pla

yer w

ho c

ann

ot m

ake

a m

ove

mus

t pa

ss. T

he g

am

e en

ds

whe

n on

e p

laye

r use

s th

e la

st d

omin

o in

his

or h

er

hand

, or w

hen

no m

ore

pla

ys c

an

be

ma

de.

If a

ll p

laye

rs s

till

have

tile

s in

thei

r ha

nd, b

ut n

o m

ore

mov

es c

an

be

ma

de,

th

en th

e g

am

e is

said

to b

e “b

lock

ed”.

4 5

1 21 2

4 82 6

1 32 6

1 2

1 41 6

2 54 8

2 42 6

3 55 8

3 43 6

4 56 8

3 44 8

2 4

2 5 4 5

1 2 2 4

3 4

1 31 3

1 24 8

4 8

1 2

1 4 4 6

3 4 4 6

>

4 4

1 21 3

100

101

Sign:

Date:

35

Term 2

Gro

upin

g an

d S

harin

g

Look

at t

he p

ictu

re b

elow

. Ea

ch c

hild

got

1 s

lice

of p

izza

. W

hat f

ract

ion

of a

piz

za

did

each

chi

ld g

et?

1. L

ook

at th

e bu

ildin

g an

d an

swer

the

ques

tions

.

2. L

ook

at th

e pi

ctur

es. A

ll jo

bs a

re s

hare

d eq

ually

.

a. W

hat f

ract

ion

of th

e re

d w

ind

ow is

:

W

ash

ed?

St

ill d

irty?

b. W

hat f

ract

ion

of th

e or

ang

e w

ind

ow is

:

W

ash

ed?

St

ill d

irty?

c. W

hat f

ract

ion

of th

e g

reen

win

dow

is:

W

ash

ed?

St

ill d

irty?

d. W

hat f

ract

ion

of th

e p

urp

le w

ind

ow is

:

W

ash

ed?

St

ill d

irty?

e. W

hat f

ract

ion

of th

e b

lue

win

dow

is:

W

ash

ed?

St

ill d

irty?

f. W

hat f

ract

ion

of th

e d

oor i

s:

W

ash

ed?

St

ill d

irty?

a. H

ow m

any

win

dow

pa

nes

will

each

per

son

wa

sh?

b. W

hat f

ract

ion

of th

e w

ind

ow is

this?

c. H

ow m

any

win

dow

pa

nes

will

each

per

son

wa

sh?

d. W

hat f

ract

ion

of th

e w

ind

ows

is th

is?

e. H

ow m

uch

of th

e d

oor w

ill ea

ch p

erso

n w

ash

?

f. W

hat f

ract

ion

of th

e d

oor i

s th

is?

Frac

tion

Dom

inoe

s

Pla

y fra

ctio

n d

omin

oes.

102

103

Sign:

Date:

36Fr

actio

ns: h

alve

s to

twel

fths

How

man

y tri

angl

es c

an y

ou fi

t ont

o th

e or

ange

sha

pe?

Term 2

1. M

atch

the

fract

ion

strip

with

the

fract

ion

circ

le o

n th

e le

ft.2.

Fin

d th

e fra

ctio

n an

d co

lour

in th

e fo

llow

ing.

3. W

rite

the

fract

ions

on

the

fract

ion

diag

ram

. We

have

don

e tw

o ex

ampl

es

for y

ou.

4. F

ill in

<, >

, or =

. Use

the

fract

ion

strip

s ab

ove

to h

elp

you.

a.

e.

i. m.

b.

f. j. n.

c.

g.

k.

o.

d.

h.

l. p.

3 44 6

3 82 3

6 7

1 2 1 2 4 6 3 8

1 3 2 3 5 8 4 7

1 6 3 5 3 5 4 8

1 8 2 7 1 2 1 3

1 4 2 4 2 3 2 3

1 5 5 6 2 4 4 5

1 8 3 8 1 6 1 2

1 7 1 8 7 8 2 6

1 22 5

Frac

tions

dic

e

– Us

e C

ut-o

ut 4

.

– Th

row

the

fract

ion

dic

e.

– Th

en ta

ke a

fra

ctio

n st

rip th

at m

atc

hes

the

fract

ion

on th

e fa

ce o

f the

dic

e. If

the

face

is

, ta

ke a

qua

rter

strip

.

– If

you

are

cor

rect

kee

p th

e fra

ctio

n st

rip.

– A

t the

end

cou

nt y

our f

ract

ion

strip

s.

– Th

e w

inne

r is

the

per

son

with

the

mos

t fra

ctio

ns s

trip

s.

1 4

1 3

1 8

104

105

Sign:

Date:

37Fr

actio

ns a

nd d

ivisi

on

Qui

ck re

call.

How

fast

can

you

ans

wer

the

follo

win

g?

Term 2

1.

2. C

ompl

ete

the

tabl

e.

Frac

tion

hunt

…

Find

in m

ag

azin

es o

r dra

w fr

act

ions

for:

y This

circ

le is

div

ided

in

to 4

equ

al p

iece

s.I c

an a

lso

say

1 d

ivid

ed b

y 4.

I won

der h

ow I

can

writ

e th

ese

as

divi

sion

sum

s?

1 ÷

4

2 ÷

83

÷ 6

2 ÷

12

Frac

tion

strip

Frac

tion

piec

es. M

ake

your

ow

n dr

awin

g.W

rite

a di

visi

on

sum

.

1 ÷

2 =

Frac

tion

circ

leFr

actio

n D

ivis

ion

Div

isio

n su

m in

wor

ds

halv

es1

÷ 2

=O

ne c

ircle

div

ided

by

two

equa

ls tw

o ha

lves

.

1 2 1 3 1 4 1 5 1 6 1 7 1 8

1 2

106

107

Sign:

Date:

38Eq

uiva

lent

and

Com

parin

g Fr

actio

ns

Writ

e a

fract

ion

on e

ach

part.

2. L

ook

at th

e pi

ctur

es a

nd a

nsw

er th

e qu

estio

ns.

3. F

ill in

<, >

or =

Term 2

1. U

se th

e fra

ctio

n st

rips.

Ans

wer

the

ques

tions

bel

ow.

a.

Wha

t fra

ctio

n is

sma

ller t

han

?

b.

Wha

t fra

ctio

n is

big

ger

tha

n

?

c. W

hat f

ract

ions

are

sm

alle

r tha

n

?

a. F

our

cup

s =

m

l.

b. F

our c

ups

= li

tre.

c. O

ne c

up is

o

f a li

tre.

d. T

wo

cup

s a

re

of a

litre

.

e. T

hree

cup

s a

re

of a

litre

.

f. Fo

ur c

ups

are

o

f a li

tre.

d.

Wha

t fra

ctio

n is

sma

ller t

han

?

e. W

hat f

ract

ion

is b

igg

er th

an

?

f. W

hat f

ract

ion

is eq

ual

?

g.

Wha

t fra

ctio

ns a

re s

ma

ller t

han

?

h. W

hat f

ract

ions

are

big

ger

tha

n

?

i. W

hat f

ract

ions

are

sm

alle

r tha

n

?

j. W

hat f

ract

ion

is eq

ual

?

1 2

1 3

1 2

2 3

1 2 1 2

2 32 3

1 2

2 61 3

= 25

0 m

l

Frac

tion

Dom

inoe

s

Pla

y fra

ctio

n d

omin

oes.

a.

3 cu

ps

of a

litre

.

b.

of

a li

tre

4 c

ups.

c. 4

cup

s

1 li

tre.

d. 1

cup

o

f a li

tre.

e. 2

cup

s 5

00 m

l

f. 2

cup

s

o

f a li

tre.

1 2

1 4

1 4 1 4

108

109

Sign:

Date:

39C

omm

on fr

actio

ns

Dis

cuss

the

follo

win

g:

1 4 1 4

1 4 1 4

1 4is

gre

en

2 4is

blu

e

1 4is

red

3 4is

blu

e a

nd re

d. W

hy?

1. A

dd th

e co

lour

ed p

arts

on

the

fract

ion

strip

s.

2. A

dd th

e re

d an

d gr

een

parts

of t

he d

iagr

am.

a.

b.

c.

d.

e.

1 3 1 51 5

1 51 5

1 32 3

+ ++

+

=

=

a.

b.

c.

d.

e.

f.d.

3 41 4

+=

Eatin

g ch

ocol

ate

Susa

n ea

ts tw

o ei

ght

s of

a c

hoco

late

ba

r. H

ow m

uch

is le

ft ov

er?

Show

you

r ans

wer

with

a d

raw

ing

.

3. W

hat f

ract

ion

of th

e sw

eets

are

ora

nge

and

blue

?

4. A

dd th

e fo

llow

ing:

a.

b.

c.d

.

e.f.

1 41 4

2 4+

=

1 43 5

2 6 4 81 122 4

1 41 5

4 6

6 811 123 4

++

+ +++

==

=

===

Term 2

110

111

Sign:

Date:

40Le

ngth

Term 2

Leng

th –

usi

ng y

our r

uler

.•

The

pen

cil s

tarts

at z

ero

and

mea

sure

s 6

cm o

r 60

mm

long

.•

On

the fi r

st ru

ler e

ach

cm

is m

ark

ed b

ut th

ere

are

unm

ark

ed d

ivisi

ons

in b

etw

een.

Wha

t a

re th

ey?

• O

n th

e se

cond

rule

r ea

ch m

m is

ma

rked

. •

Ea

ch 1

0 m

m m

ake

s 1

cm.

1. L

abel

the fi r

st ru

ler i

n cm

and

the

seco

nd o

ne in

mm

.

3. C

ompl

ete

the

num

bers

on

the

rule

r, m

easu

re th

e lin

es a

nd

com

plet

e th

e ta

ble.

One

met

re o

utin

g …

Find

10

thin

gs

tha

t are

1 m

etre

long

.

Ans

wer

in m

mA

nsw

er in

cm

4. A

nsw

er th

e fo

llow

ing:

Writ

e yo

ur a

nsw

ers

in m

m a

nd c

m.

a.

Whi

ch li

ne is

the

long

est?

b.

Whi

ch li

ne is

the

shor

test

?

2. M

easu

re e

ach

obje

ct a

nd g

ive

your

ans

wer

in c

m a

nd m

m. O

rder

the

obje

cts

from

sh

orte

st to

long

est.

a.

b.

c.

d.

e.

f.

112

113

Sign:

Date:

41Es

timat

e, m

easu

re a

nd c

ompa

re

leng

th

M

atch

the

mea

surin

g in

stru

men

t with

the

mea

surin

g un

it

1. E

stim

ate,

mea

sure

and

com

pare

in m

illim

etre

s.

2. E

stim

ate,

mea

sure

and

com

pare

in m

etre

s.

3. If

the

obje

ct is

sho

rter t

han

20 c

m b

ut lo

nger

than

10

cm, w

hat c

ould

the

obje

ct b

e?

milli

met

res

mm

cent

imet

res

cmm

etre

sm

Estim

ate

Mea

sure

Diff

eren

ce b

etw

een

estim

atio

n an

d m

easu

rem

ent

a. L

eng

th o

f boo

k

b. L

eng

th o

f des

k

c. W

idth

of d

esk

d. H

eig

ht o

f sui

tca

se

e. L

eng

th o

f sui

tca

se

Estim

ate

Mea

sure

Diff

eren

ce b

etw

een

estim

atio

n an

d m

easu

rem

ent

a.

Leng

th o

f cla

ss

b.

Wid

th o

f cla

ss

c. L

eng

th o

f te

ach

er’s

des

k

d.

Hei

ght

of

tea

cher

’s d

esk

e. L

eng

th o

f any

ou

tsid

e a

rea

4. W

hat a

re th

e ab

brev

iatio

ns fo

r:

5. G

ive

exam

ples

of o

bjec

ts th

at y

ou w

ould

mea

sure

in:

6. C

ompa

re th

e fo

llow

ing:

Rem

embe

r to

stat

e th

e m

easu

rem

ent u

nit.

a.

milli

met

re

a.

mm

c. m

b.

cm

d.

km

b.

cent

imet

re

c. m

etre

d

. ki

lom

etre

Leng

th a

nd w

idth

Wha

t is

the

diff

eren

ce b

etw

een

the

leng

th a

nd th

e w

idth

of a

ny ro

om in

you

r hou

se?

a.

Two

pen

cils

of d

iffer

ent

leng

ths.

b. T

wo

boo

ks o

f diff

eren

t le

ngth

s.c.

Tw

o b

ooks

of d

iffer

ent

wid

ths.

d. T

he le

ngth

of a

she

et o

f p

ap

er w

ith th

e le

ngth

of

a s

heet

of p

ap

er th

at i

s fo

lded

onc

e.

e. T

he w

idth

of a

she

et o

f p

ap

er w

ith th

e w

idth

of

a s

heet

of p

ap

er th

at i

s fo

lded

onc

e.

f. T

he h

eig

ht a

nd w

idth

of

the

doo

r.

g. T

he le

ngth

and

wid

th o

f yo

ur d

esk.

h. T

he le

ngth

and

wid

th o

f th

e cl

ass

room

.i.

The

leng

th a

nd w

idth

of

any

out

side

are

a.

Term 2

ure

and

com

pare

inescm

114

115

Sign:

Date:

42Le

ngth

con

vers

ions

Read

the

stat

emen

ts.

Say

wha

t you

wou

ld m

easu

re w

ith: c

entim

etre

s, m

etre

s or

ki

lom

etre

s.

1. C

onve

rt th

e fo

llow

ing

to th

e ot

her t

wo

mea

sure

men

t uni

ts.

2.

Writ

e th

e fo

llow

ing

in c

m a

nd m

m, a

nd th

en a

s cm

.

3. W

rite

the

follo

win

g in

mm

.

4. W

rite

the

follo

win

g in

m a

nd c

m.

a.

10 m

m =

a.

75 m

m =

a.

4 cm

and

3 m

m

a.

197

cm

d.

15 m

m =

d.

91 2

cm

d.

418

cm

b.

65 m

m =

b.

61 2

cm

b.

521

cm

e. 5

m =

e. 5

cm

and

9 m

m

e. 2

35 c

m

c. 3

5 m

m =

c. 7

cm

and

8 m

m

c. 3

62 c

m

f. 85

mm

=

f. 18

1 2cm

f. 75

6 cm

c. 1

000

mm

=

b.

100

cm =

d.

1 00

0 m

=

Leng

th o

f a s

tapl

e

Wai

st h

eigh

t of a

n ad

ult

Five

ste

ps u

p a

stai

rcas

eTh

e th

ickn

ess

of a

not

eboo

k

The

heig

ht o

f a fi

ve y

ear o

ldH

alf l

engt

h of

a b

ed

It w

ill ta

ke 1

2 m

inut

es to

wal

k.

Exam

ple:

Exam

ple:

35 m

m =

3 c

m a

nd 5

mm

or 3

1 2cm

Exam

ple:

3

1 2cm

= 3

5 m

m

26 c

m =

5 m

and

26

cm

Dis

tanc

es

a.

I tra

velle

d 4

1 2km

. My

frien

d tr

ave

lled

4 7

00 m

. Who

tra

velle

d th

e fu

rthes

t?

b.

I bou

ght

5 7

00 m

m o

f stri

ng a

nd th

en 3

100

mm

mor

e. H

ow m

uch

strin

g d

id I

buy

? W

rite

dow

n yo

ur

ans

wer

in m

m a

nd c

m a

nd th

en in

m.

c. I

bou

ght

9 m

of r

ibb

on. I

use

d 4

1 2m

. How

muc

h rib

bon

do

I ha

ve le

ft? W

rite

your

ans

wer

in m

and

cm

.

d.

My

fath

er’s

des

k is

2 20

0 m

m lo

ng a

nd m

ine

mea

sure

s 1

900

mm

. How

muc

h lo

nger

is m

y fa

ther

’s d

esk?

W

rite

dow

n yo

ur a

nsw

er in

mm

and

cm

.

e. I

bou

ght

20

m o

f woo

l. I u

sed

11

1 2m

. How

muc

h w

ool d

o I h

ave

left?

Writ

e yo

ur a

nsw

er in

m a

nd c

m.

5. W

rite

the

follo

win

g as

cm

.

6. W

rite

the

follo

win

g as

km

.

7. W

rite

the

follo

win

g as

m.

a.

1 m

42

cm

14

2 cm

a.

41 2

km

4

500

m

d.

6 m

31

cm

d.

3 20

0 m

d.

7 km

800

m

g.

3 m

55

cm

g.

8 50

0 m

g.

71 2

km

b.

5 m

24

cm

b.

7 50

0 m

b.

91 2

km

e. 2

m 1

3 cm

e. 6

100

m

e. 5

1 2km

h. 9

m 7

6 cm

h. 4

200

m

h. 9

km

200

m

c. 4

m 6

9 cm

c. 8

900

m

c. 2

km

400

m

f. 7

m 8

8 cm

f. 6

500

m

f. 6

km 3

00 m

i. 8

m 9

7 cm

i. 3

800

m

i. 1

1 2km

Term 2

a.

3 50

0 m

3

km 5

00 m

116

117

Sign:

Date:

43M

ultip

les

and

rate

Wha

t are

thes

e nu

mbe

r lin

es s

how

ing?

8081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

00

100gR5

200g

R10

300g

R15

400g

R20

500g

R25

600g

R30

700g

R35

800g

R40

900g

R45

1 00

0g

R50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

3031

3233

3435

3637

3839

4041

4243

4445

4647

4849

50

1. S

how

the

mul

tiple

s on

the

num

ber l

ines

.

2 5 83 6 94 7

Suga

r

The

ma

ss o

f 10

ba

gs

of s

uga

r is

300

kg. W

hat i

s th

e m

ass

of 1

ba

g o

f sug

ar?

2. S

olve

the

follo

win

g by

sho

win

g it

on a

num

ber l

ine.

a.

How

muc

h w

ill 60

0 g

of c

hees

e co

st?

b. H

ow m

uch

will

900

g v

ienn

as

cost

?

c. H

ow m

uch

will

1 00

0 g

chi

cken

cos

t?

d. H

ow m

uch

will

12 a

pp

les

cost

?

Num

ber

sen

tenc

e: R

5 x

6 =

R30

R5/1

00 g

R6/1

00 g

R7/1

00 g

R2/a

pp

le

Term 2

118

119

Sign:

Date:

Giv

e th

e to

tal o

f the

num

bers

in e

ach

shap

e. U

se m

ultip

licat

ion.

1. C

ompl

ete

the

tabl

e be

low

.

Num

be

rx

10x

20x

30x

40X

50

10 20 30 40 50

2. A

re th

ese

mul

tiple

s of

(ex

tend

the

patte

rn):

a.

10?

50,

60,

70,

80,

b.

20?

260

, 280

, 300

, 320

,

c. 4

0? 1

60, 2

00, 2

40, 2

80,

d.

100?

200

, 300

, 400

, 500

,

e. 9

0? 1

80, 2

70, 3

60, 4

50,

3. U

se th

e m

etho

d be

low

to s

olve

the

mul

tiplic

atio

n su

ms

on th

is a

nd

the

next

pag

e.

Exam

ple:

11 x

12

= (1

0 +

1) x

(10

+ 2)

= (1

0 x

10) +

(1 x

10)

+ (1

0 x

2) +

(1 x

2)

= 1

00 +

10

+ 20

+ 2

= 1

00 +

30

+ 2

= 1

32

a. 1

2 x

13 =

b. 1

0 x

21 =

cont

inue

d ☛

44a

Mul

tiplic

atio

n: 2

-dig

its b

y 2-

digi

ts

Term 2

1010

1010

1010

1010 10

1010

100

500 10

010

0

100

100

100

100

100

100

200

200

200

200

200

9090

9090

9090

9090

90

circle

diamond

para

llelo

gram

hexa

gon

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

. .

120

121

Sign:

Date:

4.

Solv

e th

e pr

oble

m.

Each

box

ha

s 42

ap

ple

s. H

ow m

any

ap

ple

s a

re th

ere

alto

get

her i

n 12

box

es?

Show

all

calc

ula

tions

.

How

fast

are

you

?

Wha

t to

do:

– Th

e a

im is

to s

ee

how

fast

you

ca

n fi l

l in

the

ans

wer

s in

the

whi

te re

cta

ngle

s.

– M

ultip

ly e

ach

col

our

num

ber

on

the

circ

le b

y th

e sa

me

colo

ur re

cta

ngle

’s

to g

et y

our a

nsw

er.

3080

1040

5040

200

90

9030

5050

2010

309

6020

8060

44b

Mul

tiplic

atio

n: 2

-dig

its b

y 2-

digi

tsc

ontin

ued

Term 2

9 3

513

Con

tinue

on

an

extra

she

et o

f pa

per

.

c. 2

2 x

14 =

e. 1

9 x

22 =

Con

tinue

on

an

extra

she

et o

f pa

per

.

d. 2

3 x

17 =

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

122

123

Sign:

Date:

45a

Mor

e m

ultip

licat

ion:

2-d

igits

by

2-di

gits

Term 2

Giv

e th

e to

tal o

f the

num

bers

in e

ach

shap

e. U

se m

ultip

licat

ion.

1. C

ompl

ete

the

tabl

e be

low

.

Num

be

rx

10x

20x

30x

40x

50x

60x

70x

80x

90

8 10 12 15 20

2.

Thes

e ar

e m

ultip

les

of (e

xten

d th

e pa

ttern

):

a.

20:

6

0, 8

0, 1

00, 1

20,

b.

50:

1

50, 2

00, 2

50, 3

00,

c. 1

00:

5

00, 6

00, 7

00, 8

00,

d.

200:

200,

400

, 600

, 800

,

e. 2

50:

0

, 250

, 500

, 750

,

3. U

se th

e m

etho

d be

low

to s

olve

the

sum

s.

Exam

ple:

48 x

36

= (4

0 +

8) x

(30

+ 6)

= (4

0 x

30) +

(8 x

30)

+ (4

0 x

6) +

(8 x

6)

= 1

200

+ 24

0 +

240

+ 48

= 1

000

+ 2

00 +

200

+ 2

00 +

40

+ 40

+ 4

0 +8

= 1

000

+ 6

00 +

120

+ 8

= 1

000

+ 6

00 +

100

+ 2

0 +

8=

1 7

28

a. 2

3 x

54 =

b. 2

8 x

62 =

cont

inue

d ☛

100

100

125

5015

0150 15

0 150

150

150

150

150

150

150

150 15

015

015

0

150

150

5050

5050

5050

5050

125

125

125

125

125

125

125

125

125

125 12

512

5

100

100

100

100 10

010

010

010

010

010

010

0

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

124

125

Sign:

Date:

45b

Mor

e m

ultip

licat

ion:

2-d

igits

by

2-di

gits

c

ontin

ued

Term 2

4. T

here

are

38

child

ren

in o

ur c

lass

. Eac

h ch

ild n

eeds

to p

ay R

45 fo

r the

ir

stat

ione

ry. H

ow m

uch

mon

ey m

ust y

our t

each

er c

olle

ct?

How

fast

are

you

…

Wha

t to

do:

- Th

e a

im is

to s

ee

how

fast

you

ca

n fi l

l in

the

ans

wer

s in

the

whi

te re

cta

ngle

s.

– M

ultip

ly e

ach

nu

mb

er o

n th

e ci

rcle

by

the

sam

e co

lour

rect

ang

les

to

get

you

r ans

wer

.

2050

3040

6020

6010

1010

9070

9080

5040

1050

8050

5 15

712

Con

tinue

on

an

extra

she

et o

f pa

per

.

c. 3

5 x

54 =

d. 3

3 x

39 =

e. 2

8 x

71 =

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

126

127

Sign:

Date:

46M

ultip

licat

ion

and

appr

oxim

atio

n

Revi

se ro

undi

ng o

ff to

the

near

est 1

0. L

ook

at th

e nu

mbe

r lin

es a

nd d

escr

ibe

them

.

Roun

d 6

off

to th

e ne

are

st te

n.

Wha

t will

1, 2

, 3 a

nd 4

be

whe

n w

e ro

und

it o

ff to

the

nea

rest

10?

It w

ill b

e ze

ro.

Wha

t will

5, 6

, 7, 8

and

9 b

e w

hen

we

roun

d it

off

to th

e ne

are

st 1

0?

It w

ill b

e te

n.

01

23

45

67

89

10

01

23

45

67

89

10

01

23

45

67

89

10

1. R

ound

the

follo

win

g of

f to

the

near

est t

en.

2. C

alcu

late

thes

e m

ultip

licat

ion

sum

s by

app

roxi

mat

ing

one

or b

oth

of th

e nu

mbe

rs.

Then

mul

tiply

the

num

bers

with

out a

ppro

xim

atio

n an

d co

mpa

re th

e an

swer

s.

a. 1

3

d. 5

4

g. 6

8

b. 4

2

e. 2

1

h. 9

7

c. 3

5

f. 79

i. 86

Exam

ple

1:

Exam

ple

2:

47 ×

45

≈ 50

× 4

0 (b

y a

pp

roxi

ma

ting

the

num

ber

s)≈

2 00

0

47 ×

45

≈ 50

× 4

5 (b

y a

pp

roxi

ma

ting

one

num

ber

)≈

50 ×

(40

+ 5)

≈ (5

0 ×

40) +

(50

× 5)

≈ 2

000

+ 25

0≈

2 25

0

47 x

45

= (4

0 +

7) x

(40

+ 5)

= (4

0 x

40) +

(40

x 5)

+ (7

x 4

0) +

(7 x

5)

= 1

600

+ 20

0 +

280

+ 35

= 1

000

+ 60

0 +

200

+ 20

0 +

80 +

30

+ 5

= 1

000

+ 1

000

+ 11

0 +

5=

2 00

0 +

115

= 2

115

47 x

45

= (4

0 +

7) x

(40

+ 5)

= (4

0 x

40) +

(40

x 5)

+ (7

x 4

0) +

(7 x

5)

= 1

600

+ 20

0 +

280

+ 35

= 1

000

+ 60

0 +

200

+ 20

0 +

80 +

30

+ 5

= 1

000

+ 1

000

+ 11

0+ 5

= 2

000

+ 11

5=

2 11

5

Wha

t is

the

appr

oxim

ate

cost

?

Wha

t is

the

ap

pro

xim

ate

cos

t if m

y co

mp

any

wa

nts

to b

uy 5

2 p

airs

of s

hoes

at R

48 p

er p

air?

a. 2

8 ×

22 =

c. 3

5 ×

23 =

3. M

y an

swer

is 1

440

. W

hat c

an th

e po

ssib

le m

ultip

lican

d an

d m

ultip

lier b

e?

b. 2

3 ×

57=

d. 4

8 ×

32=

Term 2

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

Con

tinue

on

an

extra

she

et o

f pa

per

.

128

129

Sign:

Date:

47M

ultip

licat

ion:

2-d

igit

num

ber

s b

y 2-

digi

t num

ber

s Lo

ok a

t the

se e

xam

ples

. W

hat d

o yo

u no

tice?

Exam

ple

1:

6 =

2 ×

312

= 2

× 2

× 3

36 =

2 ×

2 ×

3 ×

318

= 2

× 3

× 3

72 =

2 ×

2 ×

2 ×

3 ×

3

Exam

ple

2:

45 =

3 ×

3 ×

530

= 2

× 3

× 5

10 =

2 ×

560

= 2

× 2

× 3

× 5

50 =

2 ×

5 ×

5

1. B

reak

dow

n th

e nu

mbe

r by

mul

tiply

ing

2s a

nd 3

s.

2. B

reak

dow

n th

e nu

mbe

r by

mul

tiply

ing

2s o

r 3s

or 5

s or

a c

ombi

natio

n.

3. B

reak

dow

n th

e m

ultip

lier (

the

seco

nd n

umbe

r) b

y m

ultip

lyin

g 2s

and

3s.

a. 6

a. 3

0

b. 7

2

b. 6

0

c. 1

08

c. 2

0

Exam

ple:

47

× 12

= 4

7 ×

2 ×

6

= 47

× 2

× 2

× 3

= 94

× 2

× 3

= 18

8 ×

3

= (1

00 +

80

+ 8)

× 3

= 30

0 +

240

+ 24

= 56

4

3

I bro

ke d

own

the

seco

nd n

umbe

r int

o 2

and

6

I can

bre

ak it

do

wn

even

furth

er

into

2, 2

and

3

a. 2

4 ×

6

a. 2

9 ×

30

b. 3

2 ×

72

b. 4

4 ×

4

c. 2

7 ×

36

c. 5

6 ×

20

An

appl

e a

day!

A te

ach

er p

aid

R2

per

ap

ple

. She

bou

ght

45

ap

ple

s p

er c

lass

. She

ha

d to

buy

for a

ll 3

cla

sses

in th

e g

rad

e. H

ow m

uch

did

she

pa

y?

Exam

ple:

53

× 45

= 5

3 ×

9 ×

5

= 53

× 3

× 3

× 5

= 15

9 ×

3 ×

5

= 47

7 ×

5

= (4

00 +

70

+ 7)

× 5

= 2

000

+ 35

0 +

35

= 2

385

5

I bro

ke d

own

the

seco

nd n

umbe

r int

o 9

and

5

I can

bre

ak it

dow

n ev

en fu

rther

into

3, 3

an

d 5

4. B

reak

dow

n th

e m

ultip

lier b

y m

ultip

lyin

g 2s

, 3s

and

5s.

Term 2

130

131

Sign:

Date:

Term 2

3-D

Ob

jec

ts

Look

at t

he p

ictu

re. D

iscu

ss it

. Use

wor

ds s

uch

as p

rism

s, p

yram

ids,

sph

eres

and

cyl

inde

rs.

1. W

rite

the

num

ber o

f obj

ects

you

see

in th

e pi

ctur

e ne

xt to

the

wor

d.

Pr

ism

s

Pyra

mid

s

a.

Tria

ngul

ar p

rism

e.

Tria

ngul

ar p

yra

mid

b.

Rect

ang

ula

r pris

m

f.

Squa

re p

yra

mid

c.

Pent

ag

ona

l pris

m

g

. Pe

nta

gon

al p

yra

mid

d.

Hex

ag

ona

l pris

m

h.

H

exa

gon

al p

yra

mid

Sp

here

s

Cyl

inde

rs

2. W

hich

of t

hese

are

pris

ms?

Writ

e th

e na

mes

. Whi

ch o

f the

se a

re

pyra

mid

s? W

rite

the

nam

es. W

hich

one

is th

e cy

linde

r and

sph

ere?

pen

tag

ona

l

pyr

am

id

Num

ber m

adne

ss

Sha

pes

in a

pos

ter .

..

Thre

e p

ictu

res

of p

rod

ucts

whi

ch a

re p

ack

ag

ed

in re

cta

ngul

ar p

rism

s.

Whi

ch k

ind

of p

rism

is m

ost a

pp

rop

riate

for

pa

cka

gin

g b

ooks

in?

Why

?

____

____

____

____

____

____

____

____

____

____

___

Thre

e ev

eryd

ay

obje

cts

whi

ch a

re s

phe

res.

Thre

e ev

eryd

ay

obje

cts

whi

ch a

re c

ylin

der

s.

48

132

133

Sign:

Date:

1. U

se C

ut-o

ut 7

. Fol

d th

e ne

ts (p

atte

rns)

to m

ake

pris

ms

and

pyra

mid

s. P

aste

a d

iffer

ent

colo

ured

hea

d on

eac

h fa

ce (fl

at s

ide)

of t

he p

rism

or p

yram

id.

2. N

ame

the

shap

es o

f the

face

s (s

ides

) in

thes

e ob

ject

s.

Pris

mSh

apes

Pyra

mid

sSh

apes

a.

Tria

ngul

ar p

rism

Tria

ngle

e. T

riang

ula

r pyr

am

id

b.

Cub

ef.

Squa

re p

yra

mid

c. P

enta

gon

al p

rism

g.

Pent

ag

ona

l pyr

am

id

d.

Hex

ag

ona

l pris

mh.

Hex

ag

ona

l pyr

am

id

3. N

ame

the

obje

ct. N

ame

the

shap

es o

f the

face

s.

a.

N

am

e of

ob

ject

:

Sha

pe

of fa

ces:

b.

Na

me

of o

bje

ct:

Sh

ap

es o

f fa

ces:

c.

N

am

e of

ob

ject

:

Sha

pes

of f

ace

s:

d.

N

am

e of

ob

ject

:

Sha

pes

of f

ace

s:

Fac

es

Do

we

see

all t

he fa

ces

on th

e ob

ject

s?

Ever

yday

obj

ects

Na

me

the

sha

pes

of

the

face

s of

ea

ch o

bje

ct.

49 Do

we

see

all t

he fa

ces

on th

e ob

ject

s?

Term 2

134

135

Sign:

Date:

50D

esc

ribin

g an

d m

akin

g m

odel

s of

3-D

ob

jec

tsLo

ok a

t the

se e

xam

ples

. W

hat d

o yo

u no

tice?

1. C

ompl

ete

the

tabl

e

a.

b.

2. N

ame

the

obje

ct th

ese

shap

es a

re fo

rmin

g.

Sphe

res

Rect

angu

lar

pris

ms

curv

ed

surf

ace

sfl a

t sur

face

s

fl at a

nd

curv

ed

surf

ace

sfl a

t sur

face

s

fl at a

nd

curv

ed

surf

ace

s

Cyl

inde

rsSq

uare

-bas

ed

pyra

mid

sC

ones

3-D

obj

ect

Nam

e th

e 3-

D

obje

ctN

umbe

r of f

aces

Shap

e of

sha

ded

face

of t

he 3

-D

obje

ct

3. T

race

the

nets

to m

ake

the

3-D

obj

ects

. D

escr

ibe

each

obj

ect.

a. R

ecta

ngul

ar p

rism

b. S

qua

re-b

ase

d p

yra

mid

Box

wor

k

Red

esig

n yo

ur fa

vour

ite b

ox.

Cho

ose

a b

ox th

at i

s a

rect

ang

ula

r pris

m. U

nfol

d it

. Cop

y th

e p

att

ern

(net

) and

ma

ke a

sim

ilar b

ox.

Des

crib

e th

e ob

ject

by

usin

g w

ord

s su

ch a

s:•

Surf

ace

s (fl

at a

nd c

urve

d)

• Sh

ap

e of

face

s__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

Des

crib

e th

e ob

ject

by

usin

g w

ord

s su

ch a

s:•

Surf

ace

s (fl

at a

nd c

urve

d)

• Sh

ap

e of

face

s__

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

____

Term 2

136

137

Sign:

Date:

51In

vest

igat

e ge

omet

ric p

atte

rns

Look

and

dis

cuss

Gro

win

g p

att

erns

of s

hap

e

Gro

win

g p

att

erns

of s

hap

e

Gro

win

g p

att

erns

of n

umb

ers

3

6

10

Gro

win

g p

att

erns

of n

umb

ers

1

4

9

Wha

t will

the

next

pat

tern

be

?H

ow d

o th

e pa

ttern

s di

ffer?

Wha

t will

the

next

pat

tern

be

?

1. E

xten

d th

e ge

omet

ric p

atte

rn a

nd w

rite

it as

a n

umbe

r pat

tern

.

a.

b.

c. d..

c.

169

41

Patte

rns

in a

seq

uenc

e

Wha

t is

the

tent

h p

att

ern?

Use

a ta

ble

to s

how

you

r ans

wer

.

2. E

xten

d th

e ge

omet

ric p

atte

rn a

nd c

ompl

ete

the

tabl

e. Y

ou m

ay n

eed

extra

pap

er fo

r C a

nd D

.

a.

b.

c. d.

ra p

aper

for C

and

D.

Patte

rn1

23

45

610

Num

ber o

f blo

cks

Patte

rn1

23

45

610

Num

ber o

f blo

cks

Patte

rn1

23

45

610

Num

ber o

f blo

cks

Patte

rn1

23

45

610

Num

ber o

f blo

cks

Term 2

138

139

Sign:

Date:

52In

vest

igat

e an

d ex

tend

geo

met

ric

patt

erns

Let u

s do

som

e pr

actic

al a

ctiv

ities

.

Build

the

follo

win

g u

sing

coo

l drin

k ca

ns. W

hat i

s th

e d

iffer

ence

bet

wee

n th

e p

att

erns

? W

hat w

ill th

e d

iffer

ence

be

bet

wee

n th

e fo

urth

and

the fi f

th p

att

ern?

Build

the

follo

win

g u

sing

bot

tle to

ps.

Wha

t is

the

diff

eren

ce b

etw

een

the

pa

tter

ns?

W

hat w

ill th

e d

iffer

ence

be

bet

wee

n th

e fo

urth

and

the fi f

th p

att

ern?

The

diffe

renc

e be

twee

n th

e fi r

st

and

seco

nd p

atte

rn is

2, b

etw

een

the

seco

nd a

nd th

e th

ird p

atte

rn

is 3

, and

bet

wee

n th

e th

ird a

nd

four

th p

atte

rn is

4.

The

diffe

renc

e be

twee

n th

e fi r

st

and

seco

nd p

atte

rn is

3,

betw

een

the

seco

nd a

nd th

e th

ird

patte

rn is

5, a

nd b

etw

een

the

third

an

d fo

urth

pat

tern

is 7

.

1. E

xten

d ea

ch p

atte

rn. S

ay w

hat i

s th

e di

ffere

nce

betw

een

the

patte

rns.

Say

if th

e di

ffere

nce

is th

e sa

me

or d

iffer

ent b

etw

een

the

patte

rns.

a.

b.

c.

d.

e. f.

Be c

reat

ive

Exte

nd th

is p

att

ern.

Ma

ke u

se o

f col

our t

o m

ake

you

r pa

tter

n m

ore

inte

rest

ing

.

2. E

xten

d th

e pa

ttern

s.

a.

b.1

+ 1

+ 1

+1 =

44

+ 4

+ 4

+4 =

16

Term 2

140

141

Sign:

Date:

1. A

re th

ese

the

only

line

s of

sym

met

ry?

How

ma

ny m

ore

lines

of s

ymm

etry

ca

n yo

u id

entif

y? D

raw

them

in a

diff

eren

t col

our.

lines

of s

ymm

etry

lines

of s

ymm

etry

lines

of s

ymm

etry

lines

of s

ymm

etry

2. W

hy d

o w

e ha

ve o

nly

one

line

of s

ymm

etry

on

this

tria

ngle

?

53Sy

mm

etry

Do

thes

e tw

o pr

actic

al a

ctiv

ities

.

Ma

ke a

sym

met

rica

l pic

ture

usin

g

pape

r and

pai

nt. D

escr

ibe

your

p

ictu

re. D

raw

a li

ne o

f sym

met

ry.

Use

pape

r to

show

the

line

of

sym

met

ry. W

hen

the

fold

ed p

art

fi ts

per

fect

ly o

n to

p (a

ll ed

ges

m

atc

hing

), th

en th

e fo

ld li

ne is

a li

ne

of s

ymm

etry

.W

hy is

this

no

t a li

ne o

f sy

mm

etry

? Te

st

it w

ith a

she

et o

f pa

per.

Why

is th

is a

line

of

sym

met

ry?

Term 2

3.

Dra

w a

line

of s

ymm

etry

on

thes

e re

al li

fe o

bjec

ts.

4. C

olou

r the

but

terfl

ies

to s

how

that

th

ey a

re s

ymm

etric

al.

6. H

ow m

any

mor

e lin

es o

f sym

met

ry c

an y

ou id

entif

y? W

hat i

s th

e to

tal n

umbe

r?

How

man

y?

How

ma

ny li

nes

of s

ymm

etry

will

a re

gul

ar o

cta

gon

ha

ve?

a.

line

s of

sym

met

ry

b.

line

s of

sym

met

ry

c.

line

s of

sym

met

ry

d.

line

s of

sym

met

ry

5. W

hich

of t

hese

pic

ture

s ha

ve li

nes

of s

ymm

etry

?

142

143

Sign:

Date:

54Li

nes

of s

ymm

etry

Revi

se th

e fo

llow

ing:

thre

e lin

es o

f sy

mm

etry

four

line

s of

sy

mm

etry

fi ve

lines

of

sym

met

rysix

line

s of

sy

mm

etry

1. S

how

the

lines

of s

ymm

etry

on

the

lette

rs th

at a

re s

ymm

etric

al.

2. W

e w

ill fi

nd n

umbe

rs li

ke th

ese

on, f

or e

xam

ple,

a d

igita

l clo

ck. W

rite

in th

e bl

ock

on th

e rig

ht-h

and

side

the

num

bers

that

are

sym

met

rical

. Sho

w th

e lin

e of

sy

mm

etry

.

a. T

he le

tter

s th

at h

ave

line

s of

sy

mm

etry

are

b. T

he le

tter

s th

at d

o no

t ha

ve

lines

of s

ymm

etry

are

:

3. A

nsw

er th

ese

ques

tions

.i.

Doe

s th

e sh

ap

e ha

ve a

line

or l

ines

of s

ymm

etry

? A

nsw

er y

es o

r no.

ii.

How

ma

ny li

nes

of s

ymm

etry

will

the

follo

win

g s

hap

es h

ave

? Sh

ow th

e lin

es o

f sy

mm

etry

on

the

sha

pes

tha

t are

sym

met

rica

l.

The fl a

g

Is th

e So

uth

Afri

can fl a

g s

ymm

etric

al?

a.

i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

b.

i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

c. i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

d.

i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

e. i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

f. i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

g.

i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

h. i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

i. i. ye

s or

no

ii. _

____

line

s of

sym

met

ry

AB

CD

EF

GH

IJ

KL

MN

OP

QR

ST

UV

WX

YZ

Term 2

144

145

Sign:

Date:

55A

dditi

on a

nd s

ubtr

actio

n

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

Cou

nt fo

rwar

ds.

1 00

02

000

3 00

04

000

5 00

02

600

2 70

02

800

2 90

03

000

500

1 50

02

500

3 50

04

500

109

1 10

92

109

3 10

94

109

1 50

02

000

2 50

03

500

4 00

0

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

Cou

nt b

ackw

ards

.

1. W

hat n

umbe

r com

es n

ext?

a.

1 00

0, 2

000

, 3 0

00,

b

. 3

300,

3 4

00, 3

500

,

c.

689,

1 6

89, 2

689

,

d.

2 76

0, 3

760

, 4 7

60,

2. C

ompl

ete

the

tabl

e by

add

ing

or s

ubtra

ctin

g to

or f

rom

the

num

ber i

n th

e fi r

st c

olum

n.

Num

ber

Add

100

Subt

ract

100

Add

1 0

00Su

btra

ct 1

000

3 21

2

2 91

0

3 10

6

1 06

9

2 98

9

3. C

alcu

late

thes

e su

ms.

Writ

e th

e st

eps

you

use

on a

sep

arat

e pi

ece

of p

aper

.

a.

2 48

1 +

1 31

8 =

b

. 1

516

+ 3

243

=

c.

3 26

5 +

1 32

9 =

d

. 2

548

+ 1

264

=

e.

1 45

8 +

1 25

8 =

f.

1 78

6 +

2 54

7 =

4. C

ompl

ete

the

wor

d pr

oble

ms.

Sho

w y

our c

alcu

latio

ns.

a.

Ther

e w

ere

75 c

hild

ren

in th

e m

usic

less

on, 1

5 w

ent h

ome

early

and

3 w

ent t

o

socc

er le

sson

s. H

ow m

any

chi

ldre

n w

ere

left

in th

e m

usic

less

on?

b.

And

ile c

olle

cts

2 28

3 ca

ns fo

r rec

yclin

g in

the fi r

st m

onth

. He

colle

cts

3 32

5 ca

ns

in th

e se

cond

mon

th. H

ow m

any

ca

ns d

id h

e co

llect

alto

get

her?

I dro

pped

my

num

ber p

uzzl

e.

I dro

pp

ed m

y p

uzzle

pie

ces.

H

elp

me

to fi

ll th

e sp

ace

s so

th

at e

ach

row

and

col

umn

ad

ds

up to

15.

You

ca

n on

ly

use

each

num

ber

onc

e.

2 4 1

3

7

6

95

8

Exam

ple

2:

2 45

9 +

1 81

6 2

000

40

0

50

9

1 00

0

800

10

6

= 2

000

+ 1

000

+ 40

0 +

800

+ 50

+ 1

0 +

9 +

6

= 3

000

+1 2

00 +

60

+ 15

= 3

000

+ 1

000

+ 20

0 +

60 +

10

+ 5

= 4

000

+ 20

0 +

70 +

5

= 4

275

Exam

ples

:Ex

ampl

e 1:

1 25

6 +

1 32

3

= 1

000

+ 1

000

+ 20

0 +

300

+ 50

+ 2

0 +

6 +

3

= 2

000

+ 50

0 +

70 +

9

= 2

579

1 00

020

050

61

000

300

203

Add

ition

and

sub

trac

tion

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

Cou

nt fo

rwar

ds.

1 00

02

000

3 00

04

000

5 00

02

600

2 70

02

800

2 90

03

000

500

1 50

02

500

3 50

04

500

109

1 10

92

109

3 10

94

109

1 50

02

000

2 50

03

500

4 00

0

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

Cou

nt b

ackw

ards

.

1. W

hat n

umbe

r com

es n

ext?

a.

1 00

0, 2

000

, 3 0

00,

b

. 3

300,

3 4

00, 3

500

,

c.

689,

1 6

89, 2

689

,

d.

2 76

0, 3

760

, 4 7

60,

2. C

ompl

ete

the

tabl

e by

add

ing

or s

ubtra

ctin

g to

or f

rom

the

num

ber i

n th

e fi r

st c

olum

n.

Num

ber

Add

100

Subt

ract

100

Add

1 0

00Su

btra

ct 1

000

3 21

2

2 91

0

3 10

6

1 06

9

2 98

9

3. C

alcu

late

thes

e su

ms.

Writ

e th

e st

eps

you

use

on a

sep

arat

e pi

ece

of p

aper

.

a.

2 48

1 +

1 31

8 =

b

. 1

516

+ 3

243

=

c.

3 26

5 +

1 32

9 =

d

. 2

548

+ 1

264

=

e.

1 45

8 +

1 25

8 =

f.

1 78

6 +

2 54

7 =

4. C

ompl

ete

the

wor

d pr

oble

ms.

Sho

w y

our c

alcu

latio

ns.

a.

Ther

e w

ere

75 c

hild

ren

in th

e m

usic

less

on, 1

5 w

ent h

ome

early

and

3 w

ent t

o

socc

er le

sson

s. H

ow m

any

chi

ldre

n w

ere

left

in th

e m

usic

less

on?

b.

And

ile c

olle

cts

2 28

3 ca

ns fo

r rec

yclin

g in

the fi r

st m

onth

. He

colle

cts

3 32

5 ca

ns

in th

e se

cond

mon

th. H

ow m

any

ca

ns d

id h

e co

llect

alto

get

her?

I dro

pped

my

num

ber p

uzzl

e.

I dro

pp

ed m

y p

uzzle

pie

ces.

H

elp

me

to fi

ll th

e sp

ace

s so

th

at e

ach

row

and

col

umn

ad

ds

up to

15.

You

ca

n on

ly

use

each

num

ber

onc

e.

2 4 1

3

7

6

95

8

Exam

ple

2:

2 45

9 +

1 81

6 2

000

40

0

50

9

1 00

0

800

10

6

= 2

000

+ 1

000

+ 40

0 +

800

+ 50

+ 1

0 +

9 +

6

= 3

000

+1 2

00 +

60

+ 15

= 3

000

+ 1

000

+ 20

0 +

60 +

10

+ 5

= 4

000

+ 20

0 +

70 +

5

= 4

275

Exam

ples

:Ex

ampl

e 1:

1 25

6 +

1 32

3

= 1

000

+ 1

000

+ 20

0 +

300

+ 50

+ 2

0 +

6 +

3

= 2

000

+ 50

0 +

70 +

9

= 2

579

1 00

020

050

61

000

300

203

Term 2

Con

tinue

on

an

extra

she

et o

f pa

per

Con

tinue

on

an

extra

she

et o

f pa

per

146

147

Sign:

Date:

56

Term 2

Add

ition

and

sub

trac

tion

up to

4-

digi

t num

ber

s

Sta

rt

E

nd

How

qui

ck c

an y

ou c

alcu

late

?

Wha

t is

the

diffe

renc

e be

twee

n th

e nu

mbe

rs?

Cou

nt fo

rwar

ds a

nd b

ackw

ards

.

6 00

07

000

8 00

09

000

10 0

003

070

4 07

05

070

6 07

07

070

3 60

04

600

5 60

06

600

7 60

05

900

6 90

07

900

8 90

09

900

5 99

86

098

6 19

86

298

6 39

8

1. W

hat n

umbe

r com

es n

ext?

a

. 7

000,

8 0

00, 9

000

,

b

. 6

647,

6 7

47, 6

847

,

c.

6

989,

7 9

89, 8

989

,

d

. 8

406,

8 9

06, 9

406

,

2. C

ompl

ete

the

tabl

e.

Num

ber

Add

100

Subt

ract

100

Add

1 0

00Su

btra

ct 1

000

7 41

6

8 89

6

4 56

0

6 20

9

8 00

8

3. C

alcu

late

the

follo

win

g:

a.

7 56

8 �

64

=

b.

8 72

1 �

657

=

c.

4 82

5 �

1 2

65 =

d.

2 54

8 �

6 9

80 =

4. S

ubtra

ct th

e fo

llow

ing:

a.

9 47

1 –

49 =

b.

7 95

8 –

394

=

c.

9 8

64 –

1 4

59 =

d.

8 21

0 –

5 78

4 =

5. 3

500

peo

ple

atte

nded

the fi r

st s

how

of a

con

cert.

A

noth

er 2

425

boo

ked

ticke

ts fo

r the

sec

ond

show

but

518

of t

hem

did

not

arri

ve.

How

man

y pe

ople

atte

nded

the

seco

nd s

how

?

100

100

100

100

100

100

100

100

��

��

��

�

100

100

100

100

100

100

100

100

��

��

��

�

100

100

100

100

100

100

100

��

��

��

�

�

�

sta

rt

end

148

149

Sign:

Date:

57 Expl

ain

the

follo

win

g:

Add

ition

of 4

-dig

it nu

mb

ers

1. C

ompl

ete

the

follo

win

g, u

sing

the

exam

ple

prov

ided

.

Ex

ampl

e

Term 2

2. C

alcu

late

the

follo

win

g:

Exam

ple:

Ca

lcul

ate

5 3

62 +

2 4

86

5

362

+ 2

486

= 5

000

+ 3

00 +

60

+ 2

+ 2

000

+ 40

0 +

80 +

6=

5 0

00 +

2 0

00 +

300

+ 4

00 +

60

+ 80

+ 2

+ 6

= 7

000

+ 7

00 +

140

+ 8

= 7

848

OR

2 +

6 =8

And

60

+ 80

= 1

40

A

nd 3

00 +

400

= 7

00

And

5 0

00 +

2 0

00 =

7 0

00

5

362

+ 2

486

= 7

848

a. 8

743

+ 1

246

=

b

. 1 7

26 +

6 4

84 =

c.

1 2

34 +

7 6

89 =

3. C

alcu

late

the

follo

win

g:

Exam

ple:

C

alc

ula

te 5

362

+ 2

486

5

362

+ 2

000 Ò

7 3

62 +

400

Ò 7

762

+ 8

0 Ò

7 8

42 +

6 Ò

7 8

48

a. 8

657

+ 1

132

=

b. 5

189

+ 4

810

=

c. 4

610

+ 5

379

=d

. 7 9

44 +

2 4

76 =

e. 7

562

+ 2

548

=f.

4 6

18 +

3 7

95 =

At t

he z

oo

Ther

e w

ere

3 56

2 p

eop

le a

t the

zoo

dur

ing

the fi r

st w

eek

of F

ebru

ary

. Dur

ing

the

seco

nd w

eek

ther

e w

ere

3 64

9. H

ow m

any

peo

ple

visi

ted

the

zoo

dur

ing

the fi r

st tw

o w

eeks

of F

ebru

ary

?

8 93

48

000

+ 90

0 +

30 +

4

6 00

+ 8

00 +

90

+ 2

5 00

0 +

30 +

5

7 00

0 +

27

002

5 03

5

6 89

2

15 150

1 50

0

8 +

7 =

800

+ 70

0 =

80 +

70

=

= 10

+ 5

= 10

0 +

50

= 1

000

+ 50

0

a.9

+ 6

=15

= 10

+ 5

90 +

60

==

900

+ 60

0 =

=

b.5

+ 6

==

50 +

60

==

500

+ 60

0 =

=

150

151

Sign:

Date:

58 Look

at t

he p

ictu

res.

How

do

you

feel

whe

n yo

u ge

t a p

robl

em to

sol

ve?

How

sho

uld

you

feel

if y

ou w

ant t

o do

wel

l in

mat

hem

atic

s?

Prob

lem

sol

ving

: add

ition

and

su

btr

actio

n

1. S

olve

the

follo

win

g pr

oble

ms:

a. A

nand

i bou

ght

an

oven

for R

3 78

0 a

nd a

din

ner s

et fo

r R6

560.

How

muc

h d

id s

he p

ay

alto

get

her?

b. S

usa

n ea

rns

R3 4

60 e

ach

mon

th

cook

ing

. How

muc

h d

oes

she

earn

in

two

mon

ths?

c. I

have

R6

834

in m

y b

ank

acc

ount

. I

save

R2

573.

How

muc

h m

oney

do

I ha

ve n

ow?

d. M

ark

bou

ght

a c

omp

uter

and

a

com

put

er p

rog

ram

. He

pa

id R

9 47

0.

The

com

put

er c

ost R

7 43

5. H

ow

muc

h d

id h

e p

ay

for t

he c

omp

uter

p

rog

ram

?

Four

-dig

it pr

oble

ms

Cre

ate

you

r ow

n in

tere

stin

g m

ath

s p

rob

lem

usin

g tw

o 4-

dig

it nu

mb

ers.

e. M

and

la a

nd T

hand

i bou

ght

pla

ne

ticke

ts to

visi

t the

ir ol

der

bro

ther

in

Eng

land

. The

y p

aid

R7

678

for o

ne

ticke

t. H

ow m

uch

did

the

two

ticke

ts

cost

tog

ethe

r?

f. Sh

aki

ra h

as

to s

end

out

boo

ks to

sc

hool

s in

ea

ch p

rovi

nce.

She

stil

l ne

eds

to s

end

2 8

95 c

opie

s to

Nor

th-

Wes

t and

4 6

78 c

opie

s to

the

Nor

ther

n C

ap

e. H

ow m

any

cop

ies

have

not

b

een

del

iver

ed y

et?

g. L

era

to is

get

ting

ma

rried

. She

pa

id

R2 5

78 fo

r the

fl ow

ers

and

R4

243

for

the

food

. How

muc

h d

id s

he h

ave

to

pa

y fo

r the

fl ow

ers

and

the

food

to

get

her?

h. W

end

y w

ent t

o D

urb

an.

She

pa

id

R3 5

84 to

sta

y a

t a h

otel

for a

wee

k.

How

muc

h w

ould

she

pa

y if

she

wa

nted

to s

tay

for t

wo

wee

ks?

Term 2

152

153

Sign:

Date:

59Sh

arin

g an

d G

roup

ing

prob

lem

s

Look

at t

he tw

o pi

ctur

es b

elow

. Us

e th

e w

ords

‘gro

up’ a

nd ‘s

hare

’ to

desc

ribe

it.

How

fast

are

you

?

Col

our a

ny tw

o nu

mb

ers

tha

t will

giv

e yo

u a

n a

nsw

er o

f 2.

Col

our a

ny tw

o nu

mb

ers

tha

t will

giv

e yo

u a

n a

nsw

er o

f 3.

Shar

e be

twee

nD

ivis

ion

sum

8 5 3 4 2

0 0 0 0

3040

5060

7080

2010

1020

3040

50

100

100

100

200

200

200

300

300

400

0

80 ÷

8 =

2.

Com

plet

e th

e fo

llow

ing:

1.

Com

plet

e th

e ta

ble

usin

g th

e ex

ampl

e in

the fi r

st ro

w to

gui

de y

ou:

523

1312

1213

210

3030

209

35

66

1199

17

73

9

11

3288

1510

9061

229

433

88

22 4

3

20 ÷

2 =

18 ÷

2 =

16 ÷

2 =

14 ÷

2 =

12 ÷

2 =

10 ÷

2 =

8 ÷

2 =

6 ÷

2 =

4 ÷

2 =

200

÷ 2

=

180

÷ 2

=

160

÷ 2

=

140

÷ 2

=

120

÷ 2

=

100

÷ 2

=

80 ÷

2 =

60 ÷

2 =

40 ÷

2 =

30 ÷

3 =

27 ÷

3 =

24 ÷

3 =

21 ÷

3 =

18 ÷

3 =

15 ÷

3 =

12 ÷

3 =

9 ÷

3 =

6 ÷

3 =

300

÷ 3

=

270

÷ 3

=

240

÷ 3

=

210

÷ 3

=

180

÷ 3

=

150

÷ 3

=

120

÷ 3

=

90 ÷

3 =

60 ÷

3 =

40 ÷

4 =

36 ÷

4 =

32 ÷

4 =

28 ÷

4 =

24 ÷

4 =

20 ÷

4 =

16 ÷

4 =

12 ÷

4 =

8 ÷

4 =

400

÷ 4

=

360

÷ 4

=

320

÷ 4

=

280

÷ 4

=

240

÷ 4

=

200

÷ 4

=

160

÷ 4

=

120

÷ 4

=

80 ÷

4 =

50 ÷

5 =

45 ÷

5 =

40 ÷

5 =

35 ÷

5 =

30 ÷

5 =

25 ÷

5 =

20 ÷

5 =

15 ÷

5 =

10 ÷

5 =

500

÷ 5

=

450

÷ 5

=

400

÷ 5

=

350

÷ 5

=

300

÷ 5

=

250

÷ 5

=

200

÷ 5

=

150

÷ 5

=

100

÷ 5

=

3

5

Des

crib

e th

e p

ictu

re y

ou s

ee

whe

n yo

u d

o th

ese

div

ision

sum

s.

154

155

Sign:

Date:

60Ra

te

Bag

with

2 o

rang

es.

Term 2

R6

R10

R10

R2

R5

This

ba

g o

f or

ang

es c

osts

R4

I won

der

how

m

uch

each

or

ang

e co

sts?

1. C

ompl

ete

the

follo

win

g:

3. C

ompl

ete

the

follo

win

g:

2. W

rite

ques

tions

1 a

, b, c

, d a

nd e

, abo

ve, w

ith th

e “/

” sy

mbo

l

a.

d.

e.b

.

c. a.

R

b.

R

c. R

d.

R

e. R

It is

R p

er o

rang

e

It is

R p

er o

rang

e

It is

R p

er a

pp

le

It is

R p

er a

pp

le

It is

R p

er b

ana

na

The

sym

bol

we

use

for r

ate

is /

Exa

mp

le: R

2/or

ang

e.

Qui

ck c

ount

ing

…

Qui

ckly

cou

nt th

e or

ang

es in

the

ba

g. A

ll of

them

cos

t R15

. H

ow m

uch

doe

s on

e or

ang

e co

st?

Rem

emb

er:

alw

ays

do

this

act

ivity

whe

n yo

u g

o to

a s

hop

. Th

is w

ill sh

arp

en y

our m

enta

l ma

ths

skills

.

How

muc

h do

thes

e ap

ples

cos

t if o

ne

appl

e co

sts

R2?

The

milk

cos

ts R

10/l

itre.

How

muc

h do

es

this

milk

cos

t?

How

muc

h do

thes

e ba

nana

s co

st if

ea

ch b

anan

a co

sts

R1,5

0?

The

chic

ken

is o

n sp

ecia

l for

R2

5/kg

. How

muc

h w

ill 2

kg

cost

?

156

157

Sign:

Date:

61Ra

tio

How

man

y gi

rls a

re th

ere

in e

ach

pict

ure?

How

man

y bo

ys a

re th

ere

in e

ach

pict

ure?

Term 2

1. C

ompl

ete

the

follo

win

g:

Cla

ss

Girl

s Bo

ys

We

can

writ

e it

as:

Yello

w

64

6:4

Wh

ite

Gre

en

Ora

nge

We

writ

e a

ra

tio li

ke th

is

Ratio

sy

mb

ol

6:4

3. D

raw

the

follo

win

g:

2. W

rite

a ra

tio fo

r:

Red

and

yello

w fl

ower

s

Boys

and

girl

s

Dog

s an

d ca

ts

App

les

and

bana

nas

4:5

8:6

8:10

7:8

I lov

e m

y te

ache

r …

You

hav

e w

ritte

n th

is m

essa

ge fo

r you

r tea

cher

. W

hat w

ill th

e ra

tios

be b

etw

een:

– Re

d a

nd b

lue

jelly

tots

?

– G

reen

and

bla

ck je

lly to

ts?

– O

rang

es a

nd b

lue

jelly

tots

?

te a

ratio

for:

a. B

lue

and

red

shi

rts.

b. B

lue

and

yel

low

shi

rts.

c. R

ed a

nd y

ello

w s

hirts

.

158

159

Sign:

Date:

62D

ivisi

on o

f 2-d

igit

num

ber

s b

y 1-d

igit

num

ber

sRe

vers

e th

ese

divi

sion

sum

s by

giv

ing

a m

ultip

licat

ion

sum

for e

ach.

We

call

this

an

inve

rse

oper

atio

n.

14 ÷

2 =

7

50 ÷

5 =

10

9 ÷

3 =

336

÷ 9

= 4

48 ÷

6 =

815

÷ 3

= 5

12 ÷

2 =

624

÷ 8

= 3

49 ÷

7 =

764

÷ 8

= 8

21 ÷

3 =

735

÷ 7

= 5

6 ÷

3 =

225

÷ 5

= 5

60 ÷

6 =

10

40 ÷

5 =

8

12 ÷

6 =

218

÷ 2

= 9

14 ÷

7 =

240

÷ 8

= 5

a.

57 ÷

3 =

b

. 56

÷ 8

=

c. 6

0 ÷

5 =

d.

63 ÷

9 =

e. 6

8 ÷

4 =

f. 48

÷ 2

=

g.

54 ÷

6 =

h. 4

5 ÷

9 =

i. 42

÷ 7

=

a.

60 ÷

8 =

b.

40 ÷

9 =

c.

31

÷ 5

=

d.

43 ÷

2 =

e. 6

6 ÷

7 =

f. 49

÷ 4

=

1. G

ive

the

inve

rse

oper

atio

n fo

r the

follo

win

g.

2. U

se th

e tw

o ex

ampl

es to

gui

de y

ou to

sol

ve th

e di

visi

on s

ums.

Exam

ple

1:

Exam

ple

2:

50 ÷

8 =

We

can

ask

our

selv

es.

How

ma

ny g

roup

s of

8 w

ill g

ive

us 5

0?

Let u

s co

unt

50 ÷

8 =

W

e ca

n a

sk o

urse

lves

. If I

sha

re 5

0 b

etw

een

8, h

ow m

uch

will

each

get

?

Let u

s sh

are

If w

e sh

are

8 b

etw

een

50 w

e w

ill g

et 6

and

two

rem

ain

der

s.

You

can

also

use

the

tab

le to

hel

p y

ou.

816

2432

4048

1 ×

8 =

82

× 8

= 16

3 ×

8 =

244

× 8

= 32

5 ×

8 =

406

× 8

= 48

7 ×

8 =

568

× 8

= 64

9 ×

8 =

72

3. U

se th

e tw

o ex

ampl

es to

gui

de y

ou to

sol

ve th

e di

visi

on s

ums.

Exam

ple

1:

500

÷ 8

Exam

ple

2:

We

can

ask

our

selv

es h

ow m

any

gro

ups

of 8

will

giv

e us

500

.

We

say:

We

writ

e:

Now

we

can

ask

our

selv

es h

ow m

any

gro

ups

of 8

will

giv

e us

20.

We

say:

W

e w

rite:

62

rem

4

500

– 48

– 1620 4

8

• 60

gro

ups

of 8

will

giv

e us

480

• 70

gro

ups

of 8

will

giv

e us

560

• 56

0 is

too

big

, so

we

will

choo

se 6

0 g

roup

s

Sixt

y g

roup

s of

8 w

ill g

ive

me

480

with

20

left.

2 gr

oups

of 8

will

giv

e us

16

3 g

roup

s of

8 w

ill g

ive

us 2

424

is to

o b

ig, s

o w

e w

ill ch

oose

2 g

roup

s

Two

gro

ups

of 8

will

giv

e m

e 16

with

4 le

ft.

60 g

roup

s +

2 g

roup

s =

62 g

roup

s50

0 ÷

8 =

62 re

m 4

10 g

roup

s of

8 is

80

20 g

roup

s of

8 is

160

30 g

roup

s of

8 is

240

40 g

roup

s of

8 is

320

50 g

roup

s of

8 is

400

60 g

roup

s of

8 is

480

70 g

roup

s of

8 is

560

1 g

roup

of 8

is 8

2 g

roup

s of

8 is

16

3 g

roup

s of

8 is

24

10 ×

8 =

80

20 ×

8 =

160

30 ×

8 =

240

40 ×

8 =

320

50 ×

8 =

400

60 ×

8 =

480

70 ×

8 =

560

1 ×

8 =

82

× 8

= 16

3 ×

8 =

24

Shar

ing

equa

lly p

robl

ems

a.

How

ma

ny g

roup

s of

4 c

an

you

ma

ke w

ith 3

6 m

arb

les?

b.

How

ma

ny g

roup

s of

8 c

an

you

ma

ke w

ith 5

6 co

unte

rs?

c. H

ow m

any

gro

ups

of 6

ca

n yo

u m

ake

with

42

card

s?d

. Sh

are

54

coun

ters

am

ong

st 8

chi

ldre

n.e.

Sha

re 4

7 m

arb

les

am

ong

st 4

chi

ldre

n.f.

Sha

re 4

3 sw

eets

am

ong

st 6

chi

ldre

n.

a.

650

÷ 9

=

b.

400

÷ 9

= c.

301

÷ 5

=

rem

460

gro

ups

of 8

is 4

80

2 gr

oups

of

8 is

16

Term 2

160

161

Sign:

Date:

63D

ivisi

on o

f 3-d

igit

num

ber

s b

y 1-d

igit

num

ber

sSh

are

the

bloc

ks b

etw

een

2 ch

ildre

n. D

o yo

u ha

ve a

ny b

lock

s le

ft?

1. C

alcu

late

the

follo

win

g:

Exam

ple

1:

375

÷ 8

= Le

t us

bre

ak

dow

n th

em n

umb

er 3

75 in

to (3

70 +

5).

Let u

s a

sk o

urse

lves

how

ma

ny g

roup

s of

8 w

ill g

ive

us 3

7?

Let u

s co

unt

4 g

roup

s w

ill g

ive

us 3

2 b

ut 5

gro

ups

are

too

big

. H

ow m

any

gro

ups

of

8 w

ill g

ive

us 3

70.

40 g

roup

s w

ill g

ive

us 3

20 b

ut 5

0 g

roup

s w

ill g

ive

us 4

00.

We

have

50

left

plu

s 5.

How

ma

ny g

roup

s of

8 w

ill g

ive

us 5

5.

6 g

roup

s w

ill g

ive

us 4

8 b

ut 7

gro

ups

is to

o b

ig.

So w

e ha

ve 4

8 a

nd 7

left

over

.

The

ans

wer

to 3

75 ÷

8 is

46

rem

ain

der

7.

Let u

s co

unt

816

2432

4048

816

2432

4048

56

Units

× 8

1 ×

8 =

82

× 8

= 16

3 ×

8 =

244

× 8

= 32

5 ×

8 =

406

× 8

= 48

7 ×

8 =

568

× 8

= 64

9 ×

8 =

72

Tens

× 8

10 ×

8 =

80

20 ×

8 =

160

30 ×

8 =

240

40 ×

8 =

320

50 ×

8 =

400

60 ×

8 =

480

70 ×

8 =

560

80 ×

8 =

640

90 ×

8 =

720

Shar

ing

the

mon

ey

We

are

four

chi

ldre

n in

our

fam

ily.

My

fath

er g

ave

us

R350

to s

hare

. W

e ea

ch re

ceiv

ed th

e sa

me

am

ount

in fu

ll ra

nds.

How

ma

ny ra

nds

rem

ain

ed?

a.

925

÷ 2

=

d.

338

÷ 8

=

g.

649

÷ 5

=

b.

457

÷ 7

=

e. 7

67 ÷

4 =

h. 1

79 ÷

8 =

c. 5

96 ÷

3 =

f. 8

06 ÷

9 =

i. 28

5 ÷

6 =

Term 2

162

163

Sign:

Date:

64 Her

e ar

e so

me

key

wor

ds f

or d

ivis

ion

and

mul

tiplic

atio

n. C

an y

ou a

dd a

ny

othe

r wor

ds to

the

list?

Mul

tiply

by,

mul

tiply

, gro

ups

of, p

rod

uct,

lots

of,

times

tab

le, t

imes

, of

Div

ide

by,

sha

re, s

hare

eq

ually

, div

isib

le b

y, d

ivid

e, d

ivid

e in

to, g

roup

Div

ision

pro

ble

ms

1. S

olve

the

follo

win

g pr

oble

ms:

a. I

bou

ght

fi ve

sp

ort t

-shi

rts fo

r R26

5. H

ow

muc

h d

id I

pa

y p

er t-

shirt

?

i. W

hat i

s th

e q

uest

ion?

How

muc

h d

id I

pa

y p

er t-

shirt

?

ii. W

hat a

re th

e nu

mb

ers?

R26

5 a

nd 5

iii. W

hat i

s th

e ke

y w

ord

? Pe

r (p

er te

lls m

e to

d

ivid

e)

iv W

hat i

s th

e nu

mb

er s

ente

nce?

R2

65 ÷

5 =

v. S

olve

it: R

265

÷ 5

= R

53

vi. W

rite

a s

ente

nce:

I p

aid

R53

for e

ach

t-

shirt

.

b.

A s

hoe

shop

sel

ls a

ll p

airs

of s

hoes

for

R82.

My

mot

her a

nd s

ister

bou

ght

9 p

airs

a

ltog

ethe

r. H

ow m

uch

did

they

pa

y?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

c. T

he b

ooks

hop

sol

d 8

boo

ks fo

r R50

0. H

ow

muc

h d

id e

ach

boo

k co

st?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

d.

My

tea

cher

bou

ght

7 s

tory

boo

ks fo

r R69

ea

ch.

How

muc

h d

id s

he p

ay

for a

ll th

e st

ory

boo

ks?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

e. M

y m

othe

r bou

ght

com

put

er g

ad

get

s fo

r R9

8 ea

ch. S

he b

oug

ht 5

ga

dg

ets.

How

m

uch

did

she

pa

y a

ltog

ethe

r?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

f. I

spen

t R60

0 on

6 c

omp

uter

ga

mes

. H

ow

muc

h d

id I

pa

y fo

r ea

ch g

am

e?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

g.

My

mot

her w

ent o

n a

tra

inin

g c

ours

e fo

r 7

da

ys. T

he lu

nch

cost

R75

per

da

y. H

ow

muc

h d

id s

he p

ay

for h

er lu

nche

s?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

g.

I ha

ve R

400.

Com

put

er g

am

es c

ost R

75

each

. H

ow m

any

ga

mes

cou

ld I

buy

?

i. _

____

____

____

____

____

____

____

____

____

___

ii. _

____

____

____

____

____

____

____

____

____

___

iii. _

____

____

____

____

____

____

____

____

____

___

iv. _

____

____

____

____

____

____

____

____

____

___

v. _

____

____

____

____

____

____

____

____

____

___

vi. _

____

____

____

____

____

____

____

____

____

___

Seat

ing

the

gues

ts

You

need

sea

ts fo

r 58

peo

ple

at y

our p

arty

. You

ma

ke o

ne lo

ng ta

ble

by

join

ing

a n

umb

er o

f sm

all

tab

les.

Ea

ch s

ma

ll ta

ble

ca

n se

at t

wo

per

sons

, plu

s on

e a

t ea

ch e

nd o

f the

long

tab

le, e

.g. t

he 4

sm

all

tab

les

bel

ow c

an

sea

t 10

peo

ple

. How

ma

ny s

ma

ll ta

ble

s d

o yo

u ne

ed?

a.

28b

. 29

c. 3

0d

. 32

e. 3

4

Term 2

Cut-out 1Mathematics Grade 4

Term

2

1 0

0

0

1 0

0

1 0

12

0

0

0

2 0

0

2 0

23

0

0

0

3 0

0

3 0

34

0

0

0

4 0

0

4 0

45

0

0

0

5 0

0

5 0

56

0

0

0

6 0

0

6 0

67

0

0

0

7 0

0

7 0

78

0

0

0

8 0

0

8 0

89

0

0

0

9 0

0

9 0

9


Note: Make dice from these Cut-outs. After assembling the dice, keep them in a safe place because you will use them throughout the year.


Units Tens

Hundreds

Hundreds

Hundreds


Fraction strips

Fraction dice

Grade 4 - Cutout 6Cut-out 7Mathematics Grade 4

nkosi sikelel’ iafrica s...2020/04/05 · national archives and records services of south africa...

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