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  • GETSenPhaseMaths display tagshide tags

    This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

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Number Patterns (Mental calculations)

Module by: Siyavula Uploaders. E-mail the author

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:
Table 1
graphics1.png graphics2.png graphics3.png

8. Look at the interesting pattern we can find on a calendar.

  • Work with a friend and discuss:
Figure 1
Figure 1 (graphics4.png)

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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Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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