# 1.3 Number patterns (mental calculations)

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## 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

## 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:

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)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

b) What pattern can be seen in each column? (vertical)

_____________________________________________________________________

_____________________________________________________________________

c) What patterns do you see in the diagonal from left to right?

_____________________________________________________________________

_____________________________________________________________________

d) What patterns do you see in the diagonal from right to left?

_____________________________________________________________________

_____________________________________________________________________

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?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

## 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.

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