KWAZULU-NATAL DEPARTMENT OF EDUCATION
MATHEMATICS
GRADE 6
TERM 1 SUPPORT WORKSHOP
1
Place value, digit value, number names and comparison of numbers
ACTIVITY 1.
Write down your responses in the spaces provided.
1.1 Write down the place value of each underlined digit:
(a) 89 876
_______________________
(b) 32 761
_______________________
(c) 304 567
_______________________
(d) 12 364,7
_______________________
(e) 5 433 675,28
_______________________
(f) 9 789 456
_______________________
(g) 789 876 675
_______________________
1.2 Write down the value of each underlined digit:
(a) 89 876
_______________________
(b) 32 761
_______________________
(c) 304 567
_______________________
(d) 12 364,7
_______________________
(e) 5 433 675,28
_______________________
(f) 9 789 456
_______________________
(g) 789 876 675
_______________________
2
1.3 Write each number in words
(a) 67 452
_____________________________________________________________
_____________________________________________________________
(b) 598 432
_____________________________________________________________
_____________________________________________________________
(c) 1 000 000
_____________________________________________________________
_____________________________________________________________
(d) 34 598 432
_____________________________________________________________
_____________________________________________________________
(e) 74 123,4
_____________________________________________________________
_____________________________________________________________
(f) 411 567,89
_____________________________________________________________
_____________________________________________________________
1,4 Write each number in symbols:
(a) Eighty-nine thousand, seven hundred and forty.
____________________________
(b) Five hundred and seventy thousand, one hundred and ninety.
____________________________
(c) Ninety thousand, nine hundred and nine.
____________________________
(d) Two hundred thousand and five tenths.
____________________________
(e) Seventy thousand and four, and twenty-three hundredths.
____________________________
3
1.4 Put <, > or = in the space between the numbers.
(a) 90 999 _____ 100 000
(b) 69 899,9 _____ 6 899,99
(c) 27 945,6 _____ 27 946
(d) 300 000 + 90 000 + 500 _____ 309 500
(e) 20 000 + 5000 + 200 + 7 _____ 25 270
1.5
Arrange the numbers in the indicated order:
(a)
1 567; 1 756; 1 675; 1 657; 1 765 from the smallest to the biggest.
___________________________________________________________
(b)
343 926; 334 926; 334 269; 343 269 in ascending order.
___________________________________________________________
(c)
789 231; 798 231; 798 312; 789 312 from the biggest to the smallest.
____________________________________________________________
(d)
5 550 540; 5 540 550; 5 055 045; 5 405 550 in descending order.
____________________________________________________________
(e)
97 361; 97 613; 96 731; 96 713; 96 613 from the least to the greatest.
_____________________________________________________________
Workbook activities [Grade 6, Book 1 (Third Edition 2013)]
o
Activity 2, 19, 33, 34 and 35 – expanding numbers and rounding off to the
nearest 5, 10, 100 or 1 000.
o
Activity 3 (No. 3), 23 (No. 2 – 4) and 24 (No. 2 – 4) – completing to the
next/previous 10, 100, 1 00 or 10 000.
o
Activity 3b, 23b, 24b, 25 and 25b – Addition and subtraction
strategies/techniques.
o
Activity 6, 21 and 22 – properties of numbers
Refer to CAPS pp 213 – 225
4
Number Patterns.
ACTIVITY 2
Write your answers in the spaces provided.
2.1 Complete the following pattern by writing the next three terms :
(a)
(i)
413 200; 413 250; 413 300; _______; _______; ________
(ii)
885 921; 885 914; 885 907; _____; ______; ______
(iii)
32 000; 16 000; 8 000; _____; ______; ______
(b) Describe the rules for each of the above pattern.
2.2
a.
________________________________________________________
b.
________________________________________________________
c.
________________________________________________________
Use the pattern below to answer the next questions.
Fig 1
Fig 2
Fig 3
Draw Fig 6.
Describe in your own words how to create the next picture.
__________________________________________________________________
__________________________________________________________________
5
2.3 Brick wall:
Study the “growing” brick wall.
Wall 3
Wall 2
Wall 1
Describe in words how you continue the brick wall
__________________________________________________________________
__________________________________________________________________
How many bricks will be necessary for
(a) Brick wall 4?
______________________________________________________________
(b) Brick wall 5?
_____________________________________________________________
(c) Brick wall 10?
______________________________________________________________
2.4 Study the following pattern:
ROW 1
1
ROW 2
ROW 3
ROW 4
2
3
4
6
7
8
9
10 11 12 13
14
15
5
6
16
Complete the following table:
Row
number
1
2
3
1
3
5
8
15
50
Number of
numbers
7
79
Write down the rule for finding ‘the number of numbers in a row’ if one knows the row
number.
___________________________________________________________________
___________________________________________________________________
Use the rule to find the ‘number of numbers’ in row 21.
2.5
________________________
A packet of chips is sold for R2. The diagram below shows number of packets
bought as the input, and the price paid as the output Calculate numbers with
letters as placeholders.
1
2
5
m
n
40
m = ________________
n = _________________
2.6
Using your own context, create a question similar to 2.5 above.
7
2.7
Complete the following flow diagrams:
(b)
(a)
p
4
13
314
9 172
+8
q
r
2.8
21
-8
322
t
(a)
j
12
9 180
(b)
p = __________
j = __________
q = __________
k = __________
r = __________
m = __________
t = __________
n = __________
Create your own flow diagrams that are related as (a) and (b) in 2.7 above are.
8
k
m
n
2.9
Complete the following flow diagrams:
(b)
(a)
w
4
13

314
2 172
v
y
39

942
z
(a)
a
12
6 516
(b)
2.10
w = __________
a = __________
v = __________
b = __________
y = __________
c = __________
z = __________
d = __________
Create your own flow diagrams that are related as (a) and (b) in 2.9 above are.
Workbook activities [Grade 6, Book 1 (Third Edition 2013)]
o
Activity 3 (No. 1 and 2), 23 (No. 1) and 24 (No. 1)– using addition and subtraction
to extend number patterns.
o
Activity 5 (No. 2) – Factors
o
Activity 37
o
Activity 60 (No. 1)
Refer to CAPS pp 235 – 238
9
b
c
d