Mathematics
Number patterns
Educator section
Memorandum
7.
a) 96
b) 61
c) 53
d) 13
e) 12
f) 54
g) 82
h) 24
i) 80
j) 178
k) 2 700
l) R90
m) R60,80
n) 24 000
o) 90
p) R237
q)
r)
s)
t) 34.25
- increases with one (+1)
- increases with 7 (+7)
- increases with 8 (+8)
8.4 increases with 6 (+6)
- 6; 27; 48
- 24; 27; 30
The total is different
- 27; 27
8.5.4 The total is the same
it is the same as above
Leaner section
Content
Activity 1: number patterns (mental calculations) [lo 2.2]
- Let us see how you cope with the following mental calculations. Try and complete the test in less than two minutes.
a) 12 × 8 = _________________
b) 23 + 38 = _________________
c) 48 + _________________ = 61
d) 132 ÷ _________________ = 11
e) 71 – 18 = _________________
f) _________________ ÷ 6 = 9
g) 63 + 19 = _________________
h) 39 + . _________________ = 63
i) 7 × _________________ = 560
j) Double 89: _________________
k) 90 × 30 = _________________
l) R4,50 × 20 = _________________
m) 400 × 60 = _________________
n) 2 700 ÷ . _________________ = 30
o) R6,08 × 10 = _________________
p) R2,37 × 100 = _________________
q) 3/8 of 64 = _________________
r) 4/5 of 45 = _________________
s) 6/7 of 42 = _________________
t) Halve 68,5: _________________
I have . ________________________________________. correct.
- Colour in the face that shows how you feel:
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8 . Look at the interesting pattern we can find on a calendar.
- Work with a friend and discuss:
a) What pattern can you see in each row? (horizontal)
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b) What pattern can be seen in each column? (vertical)
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c) What patterns do you see in the diagonal from left to right?
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d) What patterns do you see in the diagonal from right to left?
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e) Look at the block marked with a dark line on the calendar. Now determine:
f) The sum of each row: ________________________________________________
g) The sum of each column: _____________________________________________
- What do you notice? _______________________________________________________________
h) The sum of the diagonals: ____________________________________________
- What do you notice? _______________________________________________________________
i) Test now for other "blocks" of numbers on the calendar. What is your conclusion?
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Assessment
Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
Assessment Standard 2.2: We know this when the learner describes, explains and justifies observed relationships or rules in own words.