1
Making sense of numbers
Number 1
401-01
Activity 1.1
Making sense of numbers
|
Date:
2014
Writing numbers in figures
Write the numbers in words.
Whole Class
1.
One hundred and seventy six
2.
Two thousand and thirty three
3.
Four hundred and twenty four
4.
Seven thousand and fifty three
5.
Eight Thousand and seventy
6.
Seven hundred and forty five
Groups
7.
Eight hundred and forty eight
8.
9.
Thirty seven thousand, two hundred
and twenty nine
10. Nine thousand and three
11. Eight thousand, eight hundred and
forty one
Nine thousand, four hundred and
sixty
12. Three thousand, eight hundred and
thirty six
Pairs
13. Seven hundred and sixty five
14. Four thousand, eight hundred and
eighty three
15. Two thousand, eight hundred and
twenty one
16. Eight hundred and thirteen
17. Five hundred and sixty two
18. Sixty three thousand, one hundred
and forty six
Independent
19. Eight hundred and twenty nine
20. One thousand, five hundred and
thirty five
21. Sixty one thousand, four hundred
and seventy seven
22. Four thousand, one hundred and
ninety
23. Nine thousand, six hundred and
ninety four
24. Two thousand eight hundred and
twenty seven
25. Five hundred and eight
26. Eight hundred and forty four
27. Seventy one thousand, seven
hundred and sixty four
28. Three hundred and fifty one
29. Five thousand, three hundred and
forty nine
30. Nine thousand, thee hundred and six
31. Thirty five thousand, five hundred
and twenty three
32. One thousand and seven
www.openstarmaths.org
1
evanprinsloo2014
401-02
Activity 1.2
Making sense of numbers
|
Date:
2014
Writing numbers in words
Write the numbers in words.
Whole Class
1.
734
2.
2 904
3.
7 041
4.
52 713
5.
20 771
Groups
6.
391
7.
1 193
8.
5 202
9.
41 056
10. 66 827
Pairs
11. 402
12. 783
13. 6 163
14. 5 718
15. 72 350
Independent
16. 789
17. 430
18. 6 163
19. 5 718
20. 1 083
21. 19 411
22. 90 512
23. 47 006
www.openstarmaths.org
2
evanprinsloo2014
401-03
Activity 1.3
Making sense of numbers
|
Date:
Representing numbers with counters
2014
How many counters are there?
Group Investigation
1.
How many counters are there
in one column?
2.
How many counters are there
in two columns?
3.
How many counters are there
in five columns?
4.
How many counters are there
in nine columns?
5.
How many counters are there
in one layer?
6.
How many counters are there
in two layers?
7.
How many counters are there
in four layers?
8.
How many counters are there
in seven layers?
9.
How many counters are there
in one block?
10. How many counters are there
in two blocks?
11. How many counters are there
in five blocks?
12. How many counters are there
in eight blocks?
www.openstarmaths.org
3
evanprinsloo2014
401-04
Activity 1.4
Making sense of numbers
|
Date:
Representing numbers with counters
2014
How many counters are there? (One counter = one cube)
Group Investigation
Pairs
www.openstarmaths.org
4
evanprinsloo2014
401-05
Making sense of numbers
Date:
2014
Independent
www.openstarmaths.org
5
evanprinsloo2014
401-06
Activity 1.5
Making sense of numbers
|
Date:
Building numbers with number cards
2014
Here are some number cards.
1 0 0 0 1 0 0 1 0 1
2 0 0 0 2 0 0 2 0 2
3 0 0 0 3 0 0 3 0 3
4 0 0 0 4 0 0 4 0 4
5 0 0 0 5 0 0 5 0 5
6 0 0 0 6 0 0 6 0 6
7 0 0 0 7 0 0 7 0 7
8 0 0 0 8 0 0 8 0 8
9 0 0 0 9 0 0 9 0 9
Which cards make each number? Fill in the cards and cross out the cards that are not used.
Groups
1.
6 587
2.
5 380
3.
493
4.
9 200
Pairs
5.
2 419
6.
4 007
7.
69
8.
835
Independent
9.
1 417
10. 5 248
11. 3 216
12. 614
13. 702
14. 1 004
15. 9 060
16. 3 700
17. 29
18. 405
www.openstarmaths.org
6
evanprinsloo2014
401-07
Making sense of numbers
Activity 1.6
|
Date:
2014
Building numbers with number cards
Combine the cards to make one number. What number do you get? Fill in the number.
Whole Class
1.
3 9 0 0
2.
3 0 0 0 4 0
TH
H
7 0 0 0
3.
8 8 0 0
Tens Units
TH
H
7 0 0 4
2 0 0 0 1 0
Tens Units
TH
H
8 0 0 0
4.
3 0 4 0 0
Tens Units
TH
H
Tens Units
Groups
5.
6 0
6.
6 1 0 0 0
TH
H
1 2 0 0 0
7.
9 0 5 0 0
Tens Units
TH
H
6 0 0 2 0
9 0 0 0 2
Tens Units
TH
H
3 0 0
8.
4 6 0 0 0
Tens Units
TH
H
Tens Units
Pairs
9.
8 0 0 0
10.
2 0 0 5 0
TH
H
9 8 0
11.
2 0 0 0
Tens Units
TH
H
7 0 0 0 1
12.
1 0 4 0 0
Tens Units
TH
H
9 0 0 0
4 0
Tens Units
TH
H
Tens Units
Independent
13.
6 0 0 0 6
14.
3 0
TH
17.
H
Tens Units
TH
18.
8 0 5 0 0
21.
H
7 6 0 0
H
Tens Units
www.openstarmaths.org
H
Tens Units
TH
4 0 0 5 0
TH
22.
H
19.
Tens Units
H
7 0 2 0 0
5
Tens Units
2
TH
23.
2 0 9 0 0
H
16.
TH
20.
2 0 8 0 0
3 2 0 0 0
TH
2 7 0 0
5 0 0 0 9 0
4 0 0 0 8
Tens Units
5 0 0 0 1 0
TH
15.
5 4 0 0 0
2 2 0 0 0
TH
6 0 1 0 0
H
6 0 0 0 1
Tens Units
TH
7
H
Tens Units
Tens Units
9 3 0 0
3 0 0 0
Tens Units
4 0 2 0 0
H
TH
24.
H
Tens Units
1 0 0 0 7 0
6 0 0 7
TH
H
Tens Units
evanprinsloo2014
401-08
Activity 1.7
Making sense of numbers
|
Date:
2014
Breaking down / partitioning / expanding numbers
Write each given number as the sum of its place values.
Whole Class
1.
5 356 =
3.
939 =
5.
4 839 =
+
+
+
+
+
+
+
+
2.
8 753 =
4.
7 950 =
6.
1 344 =
+
+
+
+
+
+
+
+
+
Groups
7.
1 043 =
9.
319 =
11.
+
+
+
2 590 =
+
+
+
+
+
8.
9 911 =
10.
6 748 =
12.
2 942 =
+
+
+
+
+
+
+
+
+
Pairs
13.
1 052 =
15.
719 =
17.
3 679 =
+
+
+
+
+
+
+
+
+
14.
6 154 =
16.
805 =
18.
8 217 =
+
+
+
+
+
+
+
+
Independent
19.
2 817 =
+
+
+
20.
4 385 =
+
+
21.
7 106 =
+
+
+
22.
7 270 =
+
+
23.
107 =
24.
7 130 =
+
25.
4 051 =
27.
9 442 =
+
29.
1 058 =
+
31.
2 525 =
33.
4 256 =
35.
5 268 =
+
+
+
+
+
+
www.openstarmaths.org
+
26.
3 616 =
+
+
+
+
28.
37 =
+
+
30.
6 357 =
+
32.
8 649 =
+
+
34.
993 =
+
36.
651 =
+
+
+
+
+
8
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
evanprinsloo2014
401-09
Activity 1.8
Making sense of numbers
|
Date:
2014
The place value name of each digit in a number
Write the place value name for the underlined digit.
Whole Class
1.
17 620
2.
3 342
3.
47 053
4.
8 670
5.
74 584
6.
94 602
9.
7 836
Groups
7. 29 900
8.
38 841
10. 8 256
11. 54 883
12. 28 218
Pairs
13. 13 815
14.
6 282
15. 23 304
16. 61 535
17.
6 147
18. 78 824
Independent
9 190
20. 96 942
21. 82 771
22. 7 643
23. 49 930
24. 63 552
19.
25.
5 153
26.
3 119
27. 32 024
28.
1 056
29. 66 827
30. 23 506
Activity 9
|
The place value name of each digit in a number
Write the value represented by the underlined digit.
Whole Class
1.
1 635
2.
71 878
3.
98 449
4.
53 812
5.
64 819
6.
11 712
9.
61 775
Pairs
7.
5 432
10. 89 290
8.
3 016
11. 20 671
12. 6 823
Independent
13. 10 219
14.
4 115
15. 35 658
16. 75 380
17.
4 939
18. 57 951
19. 91 347
20.
2 410
21. 64 392
22.
51 119
23.
5 748
24. 90 294
25.
2 105
26. 61 545
www.openstarmaths.org
27.
9
3 667
evanprinsloo2014
401-10
Making sense of numbers
Activity 1.10
|
Date:
2014
The number line
Here is an example of a number line.
-12 -11 -10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
This missing number is halfway between the other two numbers. What is the missing number?
Whole Class
1.
4.
0
2
8
12
2.
5.
0
10
3
5
3.
6.
2
3
5
11
2
10
4
14
8
12
2
4
1
7
0
12
2
12
4
12
3
7
2
3
9
10
Groups
7.
10.
13.
16.
19.
0
6
2
6
1
2
3
5
3
11
8.
11.
14.
17.
20.
0
14
4
8
6
10
5
9
4
20
9.
12.
15.
18.
21.
Pairs / independent
22.
25.
28.
31.
34.
37.
0
4
2
4
4
6
1
3
6
12
3
9
www.openstarmaths.org
23.
26.
29.
32.
35.
38.
0
8
2
8
4
10
1
5
5
11
4
10
10
24.
27.
30.
33.
36.
39.
evanprinsloo2014
401-11
Making sense of numbers
Activity 1.11
|
Date:
2014
Estimating
Estimate the number that the arrow is pointing at.
Group investigation
1.
2.
0
100
0
100
a) The number is less than 50. Explain how you know this.
a) The number is more than 50. Explain how you know this.
b) The number is closer to 0 than it is to 50. Explain how
you know this.
b) The number is closer to 50 than it is to 100. Explain how
you know this.
c) Complete the sentence:
c) Complete the sentence:
The missing number is approximately
The missing number is approximately
3.
4.
0
60
0
100
a) The number is more than 30. Explain how you know this.
a) The number is less than 50. Explain how you know this.
b) The number is closer to 60 than it is to 30. Explain how
you know this.
b) The number is closer to 0 than it is to 50. Explain how
you know this.
c) Complete the sentence:
c) Complete the sentence:
The missing number is approximately
The missing number is approximately
5.
6.
0
100
0
50
a) The number is close to 50. Explain how you know this.
a) The number is close 25. Explain how you know this.
b) The number is closer to 100 than it is to 0. Explain how
you know this.
b) The number is closer to 0 than it is to 50. Explain how
you know this.
c) Complete the sentence:
c) Complete the sentence:
The missing number is approximately
www.openstarmaths.org
The missing number is approximately
11
evanprinsloo2014
401-12
Making sense of numbers
Activity 1.12
|
Date:
2014
Estimating
Estimate the number that the arrow is pointing at.
Investigation with a partner
1.
2.
0
100
a) The number in the middle is
0
.
a) The number in the middle is
left or right
b) The number is to the
.
left or right
of the middle.
c) The number is closest to
200
b) The number is to the
.
of the middle.
c) The number is closest to
d) The arrow is pointing approximately at
.
.
d) The arrow is pointing approximately at
3.
.
4.
0
50
a) The number in the middle is
0
.
a) The number in the middle is
left or right
b) The number is to the
.
left or right
of the middle.
c) The number is closest to
500
b) The number is to the
.
of the middle.
c) The number is closest to
d) The arrow is pointing approximately at
.
.
d) The arrow is pointing approximately at
5.
.
6.
0
120
a) The number in the middle is
0
.
a) The number in the middle is
left or right
b) The number is to the
.
left or right
of the middle.
c) The number is closest to
40
b) The number is to the
.
of the middle.
c) The number is closest to
d) The arrow is pointing approximately at
.
.
d) The arrow is pointing approximately at
7.
.
8.
0
80
a) The number in the middle is
0
.
a) The number in the middle is
left or right
b) The number is to the
b) The number is to the
.
d) The arrow is pointing approximately at
.
left or right
of the middle.
c) The number is closest to
50
c) The number is closest to
.
d) The arrow is pointing approximately at
of the middle.
.
.
Compare your estimations with other groups.
www.openstarmaths.org
12
evanprinsloo2014
401-13
Making sense of numbers
Activity 1.13
|
Date:
2014
Estimations and comparisons
Estimate the position of the given numbers and mark and write them on the number line.
Whole Class
1.
90
10
0
3.
100
60
75
100
6.
200
50
100
6
100
10
75
125
130
150
110
150
100
8.
140
0
2
50
70
0
7.
4.
100
120
4
0
95
50
5.
2.
30
150
500
200
250
900
0
1000
Groups
9.
80
20
0
11.
100
110
190
8
182
14.
10
19
www.openstarmaths.org
190
110
200
90
125
19
150
1
7
0
16.
34
0
25
50
4
0
15.
12.
200
3
50
0
180
100
13.
10.
40
200
632
0
13
20
205
921
1000
evanprinsloo2014
401-14
Making sense of numbers
Date:
2014
Pairs
17.
30
70
0
19.
60
20
70
191
20.
15
100
25
22.
15
200
45
82
110
100
90
75
0
24.
132
100
140
0
40
150
60
0
95
0
23.
100
100
50
21.
18.
80
200
600
200
531
906
500
1000
Independent
25.
90
7
0
27.
130
100
170
85
125
30.
100
18
www.openstarmaths.org
172
40
200
30
45
250
50
215
295
200
32.
62
0
36
0
60
50
31.
28.
200
75
50
0
150
100
29.
26.
30
200
450
0
14
300
78
321
500
evanprinsloo2014
401-15
Making sense of numbers
Activity 1.14
|
Date:
2014
Rounding numbers
Round each number. Estimate its position and mark it on the number line. Complete the number sentence.
Whole Class
1.
2.
Round 3 276 to the nearest ten.
3 270
3 280
Round 3 276 to the nearest hundred.
3 200
3 276 ≈
3.
3 276 ≈
4.
Round 3 276 to the nearest thousand.
3 000
3 300
4 000
Round 7 153 to the nearest hundred.
7 100
3 276 ≈
7 200
7 153 ≈
Groups
5.
6.
Round 526 to the nearest ten.
520
530
Round 526 to the nearest hundred.
500
526 ≈
7.
9.
526 ≈
8.
Round 9 172 to the nearest ten.
9 170
600
9 180
Round 9 172 to the nearest hundred.
9 100
9 200
9 172 ≈
9 172 ≈
Round 6 054 to the nearest ten.
10. Round 6 054 to the nearest hundred.
6 050
6 060
6 000
6 100
6 054 ≈
6 054 ≈
11. Round 1 837 to the nearest thousand.
12. Round 1 837 to the nearest hundred.
1 000
2 000
1 800
1 837 ≈
1 837 ≈
13. Round 2 109 to the nearest ten.
2 100
1 900
14. Round 2 109 to the nearest hundred.
2 110
2 100
2 200
2 109 ≈
2 109 ≈
15. Round 8 423 to the nearest thousand.
16. Round 8 423 to the nearest hundred.
8 000
9 000
8 400
8 423 ≈
www.openstarmaths.org
8 500
8 423 ≈
15
evanprinsloo2014
401-16
Making sense of numbers
Activity 1.15
|
Date:
2014
Rounding numbers
Round each number. First write in the two extremes on the number line.
Estimate the position of the number and mark it on the number line. Complete the number sentence.
Group exploration
1.
2.
Round 52 368 to the nearest ten.
52 368 ≈
3.
52 368 ≈
4.
Round 52 368 to the nearest thousand.
52 368 ≈
5.
Round 52 368 to the nearest ten-thousand.
52 368 ≈
6.
Round 4 551 to the nearest ten.
4 551 ≈
7.
Round 52 368 to the nearest hundred.
Round 4 551 to the nearest hundred.
4 551 ≈
8.
Round 4 551 to the nearest thousand.
4 551 ≈
Round 637 to the nearest hundred.
637 ≈
Groups
9.
Round 2 608 to the nearest ten.
10. Round 2 608 to the nearest hundred.
2 608 ≈
2 608 ≈
11. Round 4 853 to the nearest thousand.
12. Round 4 853 to the nearest ten.
4 853 ≈
4 853 ≈
13. Round 3 159 to the nearest ten.
14. Round 3 159 to the nearest thousand.
3 159 ≈
3 159 ≈
15. Round 71 628 to the nearest thousand.
16. Round 71 628 to the nearest ten-thousand.
71 628 ≈
www.openstarmaths.org
71 628 ≈
16
evanprinsloo2014
401-17
Making sense of numbers
Date:
2014
Pairs
17. Round 852 to the nearest ten.
18. Round 852 to the nearest hundred.
852 ≈
852 ≈
19. Round 7 426 to the nearest thousand.
20. Round 7 426 to the nearest ten.
7 426 ≈
7 426 ≈
21. Round 9 026 to the nearest ten.
22. Round 9 026 to the nearest hundred.
9 026 ≈
9 026 ≈
23. Round 9 026 to the nearest thousand.
24. Round 872 to the nearest thousand.
9 026 ≈
872 ≈
Independent
25. Round 692 to the nearest ten.
26. Round 692 to the nearest hundred.
692 ≈
692 ≈
27. Round 2 165 to the nearest thousand.
28. Round 2 165 to the nearest hundred.
2 165 ≈
2 165 ≈
29. Round 3 827 to the nearest ten.
30. Round 3 827 to the nearest hundred.
3 827 ≈
3 827 ≈
31. Round 46 009 to the nearest ten-thousand.
32. Round 46 009 to the nearest thousand.
46 009 ≈
www.openstarmaths.org
46 009 ≈
17
evanprinsloo2014
401-18
Making sense of numbers
Activity 1.16
|
Date:
Multiplying by base-ten
|
2014
Writing numbers
Complete the number spirals. Use a calculator to do number 1 & 2.
Pairs
х10
2.
1.
х10
9
х10
х10
х10
5
х10
х10
х10
х10
х10
3.
х10
х10
х10
х10
6
х10
х10
4.
х10
х10
х10
х10
8
х10
х10
х10
5.
х10
х10
х10
6.
х10
х10
х10
24
17
х10
х10
х10
х10
х10
х10
х10
Write the number that is described.
Independent
7. Four in the hundreds place.
Seven in the thousands place.
Three in the units place.
Zeros in all other places
8. Three in the tens place.
One in the thousands place.
Zeros in all other places
9. Nine units.
One in the tens place.
Two in the ten-thousands place.
Zeros in all other places
10. Five in the thousands place.
Six in the tens place.
Eight in the units place.
Zeros in all other places
11. Two in the ten-thousands place.
Seven in the hundreds place.
Nine in the tens place.
Zeros in all other places
12. Three in the tens place.
Five in the hundreds place.
Eight in the ten-thousands place.
Zeros in all other places
www.openstarmaths.org
18
evanprinsloo2014
401-19
Making sense of numbers
Activity 1.17
|
2014
Rand and cent
Answer the questions.
Group Exploration
1.
How many cents do you need to make one rand?
2.
How many cents will make half a rand?
3.
How many cents have the same value as two rand?
4.
How many rand do you have if you have 500 cents?
5.
What is the rand-amount for 400 cents?
6.
How many rand do you have if you have 100 cents?
7.
How many rand do you have if you have 90 cents?
8.
What is the amount in rand of 50 cents?
9.
Write the value of 450 cents in rand.
10.
How many rand do you have if you have 345 cents?
Complete the table.
Groups
rand
Pairs / Independent
rand and cent
R4 and 50c
cents
11.
a
12.
a
b
13.
a
b
c
14.
a
b
c
15.
a
b
c
16.
a
b
17.
a
18.
a
19.
a
20.
450c
rand
rand and cent
cents
26.
a
27.
a
28.
a
29.
a
30.
a
b
c
31.
a
b
c
c
32.
a
b
c
c
33.
a
b
c
b
c
34.
a
b
a
b
c
1685c
35.
a
b
21.
a
b
c
105c
36.
a
b
22.
a
b
c
37.
a
23.
a
b
c
38.
24.
a
b
c
25.
a
b
R4,50
R6,10
R7,65
b
R30,15
R12 and 30c
b
b
R4,05
R8 and 20c
www.openstarmaths.org
R22 and 25c
R8 and 75c
R40 and 5c
c
c
100c
215c
905c
c
19
b
R50,50
R19,55
R34,05
R1 and 80c
c
b
c
b
c
b
c
R24 and 40c
R18 and 15c
c
c
a
b
c
39.
a
b
40.
a
R60,05
b
R90 and 5c
1595c
2199c
c
b
R55,05
2660c
c
c
R35 and 5c
290c
1205c
c
c
evanprinsloo2014