1

NAME: ______________________

GRADE: __________

GRADE 4

MATHS TEXTBOOK

TERM ONE

2013

2

GRADE 4 MATHS SYLLABUS - FIRST TERM

TERM ONE

NUMBER WORK; ADDITION; SUBTRACTION

SYLLABUS

INSTAMATHS WKBOOK 1-20

TABLES 3

Basic Addition and Subtraction 1; 3; 5; 6; 10; 16; 17; 4

Number Sequences 15; 58 5

Place value and Value(Th, H, T, U) 11 6

Expanded notation 12 7; 8

Writing Numbers 2; 4; 9 9

Multiples 59 10

Factors, Prime, Square; Even; Odd; =, <, > 11

Rounding off 12

Addition 13

Subtraction 14

Problem Solving using Addition/Subtraction 8 15

Money 50; 51; 54; 55; 56; 57; 16

SPACE AND SHAPE: Symmetry 17 - 20

Making and breaking up hundreds 7

Making 1 000 13

Making 1 000’s 14

TABLES TESTS 22- 24

MATHLETICS: NUMBERS ………. Pg 21

HOW TO GET ONTO THE BISHOPS HOMEPAGE TO REPRINT THESE SHEETS

Click “Bishops Prep Website” Go to “links” Go to Grade 4 Home page Go to Homework There you will find Maths syllabus Term 1

3

TABLES TO BE LEARNED

1-5

1x0= 0 2x0= 0 3x0= 0 4x0= 0 5x0= 0

1x1= 1 2x1= 2 3x1= 3 4x1= 4 5x1= 5

1x2= 2 2x2= 4 3x2= 6 4x2= 8 5x2= 10

1x3= 3 2x3= 6 3x3= 9 4x3= 12 5x3= 15

1x4= 4 2x4= 8 3x4= 12 4x4= 16 5x4= 20

1x5= 5 2x5= 10 3x5= 15 4x5= 20 5x5= 25

1x6= 6 2x6= 12 3x6= 18 4x6= 24 5x6= 30

1x7= 7 2x7= 14 3x7= 21 4x7= 28 5x7= 35

1x8= 8 2x8= 16 3x8= 24 4x8= 32 5x8= 40

1x9= 9 2x9= 18 3x9= 27 4x9= 36 5x9= 45

1x10= 10 2x10= 20 3x10= 30 4x10= 40 5x10= 50

1x11= 11 2x11= 22 3x11= 33 4x11= 44 5x11= 55

1x12= 12 2x12= 24 3x12= 36 4x12= 48 5x12= 60

6-9

6x0= 0 7x0= 0 8x0= 0 9x0= 0

6x1= 6 7x1= 7 8x1= 8 9x1= 9

6x2= 12 7x2= 14 8x2= 16 9x2= 18

6x3= 18 7x3= 21 8x3= 24 9x3= 27

6x4= 24 7x4= 28 8x4= 32 9x4= 36

6x5= 30 7x5= 35 8x5= 40 9x5= 45

6x6= 36 7x6= 42 8x6= 48 9x6= 54

6x7= 42 7x7= 49 8x7= 56 9x7= 63

6x8= 48 7x8= 56 8x8= 64 9x8= 72

6x9= 54 7x9= 63 8x9= 72 9x9= 81

6x10= 60 7x10= 70 8x10= 80 9x10= 90

6x11= 66 7x11= 77 8x11= 88 9x11= 99

6x12= 72 7x12= 84 8x12= 96 9x12= 108

10-12

10x0= 0 11x0= 0 12x0= 0

10x1= 10 11x1= 11 12x1= 12

10x2= 20 11x2= 22 12x2= 24

10x3= 30 11x3= 33 12x3= 36

10x4= 40 11x4= 44 12x4= 48

10x5= 50 11x5= 55 12x5= 60

10x6= 60 11x6= 66 12x6= 72

10x7= 70 11x7= 77 12x7= 84

10x8= 80 11x8= 88 12x8= 96

10x9= 90 11x9= 99 12x9= 108

10x10= 100 11x10= 110 12x10= 120

10x11= 110 11x11= 121 12x11= 132

10x12= 120 11x12= 132 12x12= 144

4

1. BASIC ADDITION and SUBTRACTION

Basic addition Instamaths 1 Total 20 Your mark:

Basic subtraction Instamaths 3 Total 20 Your mark:

Addition/subtraction (1)

Instamaths 5 Total 20 Your mark

Addition/subtraction (2)

Instamaths 6 Total 20 Your mark:

Working with big numbers

Instamaths 10 Total 20 Your mark:

Adding a 2-digit number

Instamaths 16 Total 20 Your mark:

Addition in words Instamaths 17 Total 10 Your mark:

5

2. NUMBER SEQUENCE

Count around 1000 Instamaths 15 Total 20 Your mark:

Skip Counting Instamaths 58 Total 20 Your mark:

When working out a number sequence you must work out the difference between the numbers. In the following example the pattern is going up in ones – so therefore you have to add 1 to 47 which gives you 48. You then add on 1 to 48 and you get 49. Fill in the answers. (You may have to add, subtract or multiply!)

45 46 47 ? ? 50

Fill in the missing numbers:

23 26 29 35

33

32 31 30

18

14 10 -2

6

12 18 30

5

10 20 80

Look at the patterns below and fill in the missing gaps. The first one is done for you.

100 200 300 400 500 600

50

150 250

193

293 393

100

90 80

925

825 725

6

3. PLACE VALUE AND VALUE

PLACE VALUE

Place Value Instamaths 11 Total 20 Your mark:

PLACE VALUE is the idea that a figure has a different value when used in different places. In the number 7 853 The place value of the 7 = 7 Thousands 8 = 8 Hundreds 5 = 5 Tens 3 = 3 Units

What is the place value of the underlined digits? (Thousands, hundreds, tens, units) a) 330 ____________________ b) 3 621 __________________ c) d) 5 340 ______________ d) 4 489 __________________ e) 8 529 __________________ ……………………………………………………………………………………………………………… VALUE

VALUE is the actual number represented. In the number 7 853 The value of the 7 = 7 000 8 = 800 5 = 50 3 = 3

What is the value of the underlined digit? (8; 20; 300 etc)

a) 330______________ b) 3 621 __________________ c) 5 340 ____________________ d) 4 489 ______________ e) 8 529 ____________________

7

4. EXPANDED NOTATION : 1

Expanded notation Instamaths 12 Total 10 Your mark:

7 853 written in expanded notation is: 7 000 + 800 + 50 + 3 1. Write the following in expanded notation:

a) 1 582 = _________________________________________________

b) 6 300 = _________________________________________________

c) 5 024 = _________________________________________________

d) 7 801= _________________________________________________

e) 4 008 = ________________________________________________ 2. Write the answers:

a) 4 000 + 500 + 60 + 7 = ______________________

b) 9 000 + 60 + 3 = _____________________

c) 2 000 + 800 +3 = _______________________

d) 7 000 + 6 = ___________________

e) 800 + 40 + 3 000 + 2 = _________________ (Rearrange numbers from biggest to smallest)

3. Write these numbers in digits:

a) One hundred and fifty _______________________________ b) Four hundred and five ______________________________

c) Seven hundred and nineteen __________________________

d) Eight hundred and fifty seven _________________________

e) Two thousand five hundred and two ____________________

8

EXPANDED NOTATION: 2

4. Complete the table, the first one is done for you.

Hundreds Tens Units

386 3 8 6

526

98

360

407

5. Fill in the missing numbers. The first one is done for you.

472 = 400 + 70 + 2

386 = 300 + + 6

526 = 500 + 20 +

98 = 0 + + 8

Underline the biggest number. The first one has been done for you. a) 100 250 48 b) 626 386 360 c) 123 120 124 d) 999 45 874

9

5. WRITING NUMBERS

Addition in words Instamaths 2 Total 10 Your mark:

Subtraction in words Instamaths 4 Total 10 Your mark:

Writing big numbers Instamaths 9 Total 10 Your mark:

Write the numbers using digits, the first one is done for you.

Using words Using digits

Eight hundred and twenty-four 824

Three hundred and sixty-five

Eighty-nine

Two hundred and forty three

Nine hundred and two

Using digits

Using words

824 Eight hundred and twenty-four

256

358

15

803

111

10

6. MULTIPLES 3; 6; 9; 12; 15; 18 are multiples of 3. They can all be divided exactly by 3. 4; 8; 12; 16; 20; 24 are multiples of 4. They can all be divided exactly by 4. Counting in 2’s

0 2 4

Which of these numbers are multiples of 2? Circle them.

6 11 4 10 5 8

3 7 1 2 9 12

MULTIPLES OF 2, 5, 10

Put a ring around the numbers which are multiples of 2

115 5 2 16 4 8

Put a ring around the numbers which are multiples of 5

10 12 23 5 8 16

Put a ring around the numbers which are multiples of 10

12 19 100 11 4 30

Put a ring around the numbers which are multiples of 2

5 8 22 31 60 53

Put a ring around the numbers which are multiples of 5

12 15 20 54 85 70

Put a ring around the numbers which are multiples of 10

14 40 16 70 100 22

INSTAMATHS

Multiples Instamaths 59 Total 40 Your mark:

11

7. FACTORS

Factors are the opposite of multiples. They are those numbers that will divide exactly into other numbers. Factors are the numbers which divide into a number. The factors of 12 are: 1, 2, 3, 4, 6 and 12. These can be shown as pairs of factors: 1 x 12; 2 x 6; 3 x 4. They all equal 12. The factors of 15 are: 1, 3, 5 and 15. These can be shown as pairs of factors: 1x 15; 3 x 5. They all equal 15.

Exercise:

a) List the factors of 9 ______________________________________________

b) List the factors of 16 _____________________________________________

c) List the factors of 25 _____________________________________________

d) List the factors of 24 _____________________________________________

8. PRIME NUMBERS

Prime numbers are special numbers than can only be divided by themselves and 1. 19 is a prime number it can only be divided by 1 and 19. 9 is not a prime number – it can be divided by 3 as well as by 1 and 9. PRIME NUMBERS UP TO 30: 2; 3; 5; 7; 11; 13; 17; 19; 23; 29 (Two = only even prime no)

9. SQUARE NUMBERS

To make a square number, multiply a number by itself. 2 x 2 = 4 which is a square number. 3 x 3 = 9 which is a square number.

10. ODD AND EVEN NUMBERS

Even numbers are divisible by 2. Odd numbers are numbers that are not divisible by 2.

11. GREATER AND LESS THAN; EQUAL TO

> = GREATER THAN < = LESS THAN = EQUAL TO

Fill in the correct symbols: > or < or =

3 4 67 32 34 52 17 2 6 6

12

12. ROUNDING OFF

Remember: 1; 2; 3 and 4 get rounded down 5; 6; 7; 8 and 9 get rounded up These rules work for all numbers whether you are using tens, hundreds or thousands. Examples: to the nearest 10

a) 6 rounded off to the nearest 10 is 10 because it is closer to 10 than 0. b) 43 rounded off to the nearest 10 is 40 because it is closer to 40 than 50. c) 155 rounded off to the nearest 10 is 160 because it is closer to 160 than 150.

Examples: to the nearest 100

a) 25 rounded off to the nearest 100 is 0 because it is closer to 0 than 100. b) 132 rounded off the nearest 100 is 100 because it is closer to 100 than 200. c) 250 rounded off to the nearest 100 is 300 because it is closer to 300 than 200.

Round off the following to the nearest 10.

58 63 45 3 99

321

189 249 2 162 1 345

Round off the following to the nearest 100.

26 87 132

278 350

1 369

2 521 3 001 2 500 49

List all the numbers that can be rounded off to 540 to the nearest 10. Look at the example before you go ahead.

320 315 316 317 318 319 320 321 322 323 324

540 540

How many multiples of 10 are there in 100? _____________ How many multiples of 100 are there in 1000? ___________

13

13. ADDITION

Make sure when setting out your sum that your numbers must go in the correct Thousands, Hundreds, Tens and Units columns.

When starting to add, make sure you start with your unit column first.

Start your sum in the middle of the page and write one number per column.

Eg 3 437 + 1 242

3437 + 1242 4679

EXERCISE A

1. 348 + 258 2. 584 + 384 3. 680 + 258 4. 275 + 359 5. 342 + 598

EXERCISE B

1. 3 539 + 2 318 2. 2 589 + 1 539 3. 3 214 + 2 349 4. 5 112 + 3 211 5. 3 982 + 2 132

EXERCISE C

1. 3 582 + 389 2. 359 + 1 325 3. 453 + 62 4. 1 357 + 499 5. 6 211 + 98

EXERCISE D

1. 3 543 + 2 + 367 2. 24 + 236 + 2 543 3. 5 436 + 66 + 135 4. 3 678 + 9 + 245

5. 24 + 6 + 1 567

EXERCISE E 1. 4 654 + 3 + 564 + 25 2. 31 + 16 + 2 546 + 365 3. 342 + 5 654 + 22 + 248 4. 2 546 + 34 + 256 + 7 5. 7 + 24 + 235 + 1 458

COMPUTER ACTIVITY MATHS BLASTER: Number Patterns, Addition GENERAL MATHS GAMES: Place Value, Addition

14

14. SUBTRACTION

EXERCISE A

1. 643 – 531 2. 986 – 742 3. 537 – 326 4. 531 – 428

EXERCISE B

1. 835 – 768 2. 427 – 367 3. 742 – 567 4. 426 – 269

EXERCISE C

1. 5 902 – 3 893 2. 4 258 – 2 673 3. 5 356 – 3 567 4. 3 672 – 1 870

EXERCISE D

1. 4 300 – 3 788 2. 6 030 – 5 543 3. 3 254 – 1 987 4. 5 345 – 399 5. 4 009 – 3 876

EXERCISE E

1. 6 436 – 4 088 2. 4 330 – 2 972 3. 5 342 – 3 251 4. 2 400 – 897 5. 7 592 – 2 385

NUMBER WORK TEST TO BE DONE: REVISE PAGES 2 to 13

15. PROBLEM SOLVING USING ADDITION AND SUBTRACTION

1) John planted 249 plants on Monday, 387 plants on Tuesday, 267 plants on Wednesday and 421 plants on Thursday. How many plants were planted all together? 2) 2 064 boys are in a school. Flu strikes and 195 boys are sick. How many are present? 3) A farmer has 3 156 sheep. He buys 2 253 more in June and 489 in July. How many sheep does he have altogether? 4) Mr Black is collecting stamps. He needs 1 234 to fill his book. He already has 835. How many more does he need? 5) There are 1 465 boys in a school. A school down the road closes and 489 boys are added to the school. How many boys are at the school? 6) A farmer collects 3 407 eggs. Later he finds 2 597 eggs broken. How many eggs are not broken? 7) 1 786 cars travelled on the N2 on Friday afternoon. 112 were grey, 234 were red and 534 were yellow. How many cars were other colours?

15

16. MONEY

Before you start, set out the sum putting an R sign next to the top number.

Write down the amounts. The commas must go directly underneath each other with 2 numbers after each comma.

Put the R sign and the comma on the answer line – this is so you do not forget and therefore get the sum wrong.

If working in Rands and cents, do not put any “cents” in your answer… just the R sign.

Example: R 145,32 22,08 21,76 150,43

R 199,53

EXERCISE A

1. R 34,12 + R 6,09 + R157,34 + R0,55 2. R54,32 + R6,54 + R0,09 + R44,23 3. R16,54 + R0,46 + R457,43 + R0,66 4. R2,34 + R0,08 + R98 + R38,06

EXERCISE B

1. R 234,90 – R24,89 2. R 234,76 – R53,21 3. R 465,94 – R136,96 4. R54,36 – R 21,78

REVISION EXERCISE

1. R145,23 + R14,07 + R3,12 + R18 2. R34,66 + R0,09 + R347,25 3. R694,24 – R52,36

4. R426,21 – R56,35 5. R32,56 + R246,78 + R14 + R0,34 6. R35,26 – R27,34

INSTAMATHS EXERCISES TO DO WITH MONEY

Money: cents to rands

Instamaths 50 Total 20 Your mark:

Money: rands to cents

Instamaths 51 Total 20 Your mark:

Money and change Instamaths 54 Total 20 Your mark:

Change Instamaths 55 Total 20 Your mark:

Money: + and - Instamaths 56 Total 20 Your mark:

Money: more Instamaths 57 Total 20 Your mark:

16

17. PROBLEM SOLVING (MONEY)

ADDITION AND SUBTRACTION PROBLEMS

1. John had R 142,26 more than Jack who has R 123,98. How much money does John have?

2. Henry had R 31,29 and then bought ice creams for R 27,45. How much has he left?

3. Chris has R 73,26. He needs R 94,18 in total to buy felt tips. How much more money

does he need to buy them?

4. It costs Chris R 24,16 to post two parcels. One parcel costs R13,32 to post. How much does the other parcel cost to post?

5. Jack buys a book for R 131,26 and a magazine for R 22,09. How much does he spend

altogether?

6. Use a calculator to work out the following.

Tea : 55c Ice-cream: 75c Burger: R1,55

Scone: 35 c Coke: 45 c Crisps: 37c

1a) How much would I pay if I bought 1 tea, 1 scone and 1 ice cream? 1b) What change would I get if I paid with a R2,00 coin? 2a) How much would I pay if I bought a coke, burger, crisps and 1 ice cream?

2b) How much change would I get from a R10,00 note? (1)

17

SPACE AND SHAPE: SYMMETRY

18

19

20

INSTAMATHS EXERCISES ON SYMMETRY

Lines of Symmetry Instamaths 72 Total: 10 Your mark:

Repeating Patterns Instamaths 73 Total: 10 Your mark:

Position in Space - grids Instamaths 74 Total: 20 Your mark:

Different views Instamaths 69 Total: 10 Your mark:

COMPUTER GAME ON REFLECTIVE SYMMETRY Go to Maths folder Choose “Space Station Alert” Start Activity Choose Reflective Symmetry

21

TERM 1

GRADE 4 MATHLETICS: NUMBERS

NUMBERS

ARE YOU READY?

Ascending Order

Descending Order

ordering fractions 3rd

term

what fraction is shaded 3rd

term

copying decimals 4th

term

odd and even numbers

multiple

place value to thousands

Shaded equivalent fractions

nearest 10

nearest 100

nearest 1000

TEST

SOMETHING EASIER

Making big numbers count

Counting by fives

Counting by tens

Numbers in words

Number Lines

Fractions of a collection Later

Ordering Integers Later

SOMETHING HARDER

Greater than or less than

Expanding numbers

Place value to millions

Rounding numbers

Equivalent fractions 4th

term

More fraction problems 4th

term

22

TEST 1: 0-5 times tables to be done in 6 minutes (TOTAL 36)

9x3= 5x3= 2x6= 2x4= 3x10= 9x4= 5x4= 12x2=

4x4= 5x11= 3x5= 9x5=

3x4= 3x7= 7x5= 12x4=

8x4= 0x4= 8x3= 3x3= 9x2= 3x6= 12x3= 6x5=

4x7= 4x10= 11x4= 5x5=

5x0= 11x3= 2x7= 2x8=

5x8= 5x12= 4x6= 10x4=

TEST 2: 0-6 times tables to be done in 6 minutes (TOTAL 36)

3x3= 10x3= 2x12= 5x7=

4x11= 6x6= 9x6= 12x6=

9x4= 4x6= 3x6= 7x3=

4x3= 4x4= 5x8= 4x6= 3x5= 10x4= 8x4= 5x7=

11x3= 3x9= 6x0= 12x6=

2x9= 6x7= 3x8= 3x4=

8x6= 7x4= 12x4= 6x9= 5x6= 3x7= 7x3= 4x7=

TEST 3: 0-7 times tables to be done in 6 minutes (TOTAL 36)

8x7= 8x3= 12x3= 6x11=

7x5= 6x11= 8x4= 9x7=

3x4= 4x8= 9x6= 5x11= 5x5= 7x6= 8x3= 6x6=

4x6= 7x7= 4x12= 8x5=

5x12= 12x2= 2x8= 6x8=

4x4= 10x7= 6x6= 12x7= 9x3= 6x9= 7x11 4x9=

3x3= 3x6= 4x7= 7x0=

23

TEST 4: 0-8 times tables to be done in 6 minutes. (TOTAL 36)

11x8= 8x3= 8x7= 7x3= 6x9= 8x8= 6x6= 11x7=

7x4= 7x12= 10x5= 4x3=

3x12= 6x7= 4x12= 5x5=

8x6= 8x12= 3x8= 4x8= 11x6= 9x7= 4x4= 5x4=

7x7= 5x8= 3x6= 10x7=

7x9= 6x4= 2x9= 3x3=

5x12= 9x8= 12x6= 12x8=

TEST 5: 0-9 times tables to be done in 6 minutes (TOTAL 36)

12x9= 7x8= 6x12= 8x8=

4x9= 9x9= 8x7= 5x12=

9x7= 12x7= 7x7= 6x6=

3x11= 9x9= 8x3= 8x5= 4x8= 6x8= 5x5= 4x7=

9x10= 7x9= 9x4= 6x7=

12x9= 8x8= 12x8= 11x9=

11x8= 3x6= 3x9= 4x4= 8x9= 8x4= 4x12= 9x8=

TEST 6: 0-10 times tables to be done in 6 minutes (TOTAL 36)

7x8= 5x7= 11x10= 7x4=

12x7= 12x6= 12x5= 5x3=

9x11= 4x9= 10x10= 9x5= 12x8= 5x5= 8x8= 8x4=

5x8= 10x12= 6x6= 9x6=

0x5= 3x8= 11x8= 6x5=

8x6= 6x7= 7x7= 5x9= 6x3= 2x9= 4x11= 8x3=

9x7= 3x7= 10x8= 4x5=

24

TEST 7: 0-11 times tables to be done in 6 minutes (TOTAL 36)

6x12= 8x12= 3x7= 8x8= 8x9= 3x12= 4x9= 6x7=

5x2= 12x11= 8x6= 4x4=

6x9= 7x10= 3x5= 6x5=

7x7= 8x9= 8x4= 11x11= 8x7= 4x5= 4x7= 8x3=

7x6= 11x12= 6x6= 4x6=

5x9= 7x7= 5x8= 10x10=

9x7= 6x3= 3x9= 3x3=

TEST 8 :0 - 12: to be done in 6 minutes

3x7= 9x9= 6x7= 3x3x5=

2x9x5= 8x5= 9x3= 8x6=

12x6x2= 4x6x3= 5x6= 5x5= 2x2x2= 3x6= 3x2x7= 7x8=

5x3= 5x9= 11x11= 11x10=

7x3x2= 3x2x4= 5x2x5= 11x3x4=

3x2x2= 6x6= 8x6= 10x4x3= 7x3x0= 11x5= 8x2x2 8x5=

10x10= 4x9= 7x8= 9x4x3=

REVISION TEST (TOTAL 36): to be done in 6 mins

3x3x3= 11x10= 5x4x0= 3x2x4=

11x10= 4x2x7= 2x2x2= 3x6x4= 2x6x4= 3x2x2= 4x2x7= 2x5x3=

9x0x2= 6x4x2= 12x6= 4x7x2=

6x6x2= 3x9x4= 3x4x3= 11x3x3

7x4x3= 3x12x4= 3x3x5= 4x8x3= 3x2x7= 3x4x3= 3x3x6= 2x3x4=

11x11= 3x3x4= 5x2x5= 2x2x7=