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Mathematics

Number patterns

Educator section

Memorandum

1.

a) Yes

b) 25 + 26 + 27 + 28 + 29 + 30 = 31 + 32 + 33 + 34 + 35

36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 + 48

2.

a) 10

20

30

40

b) 120

It is actually 10 x 12

3.

a) 1

11

111

b) 1 111

c) 1 111 111

Leaner section

Content

Activity: number patterns (mental calculations) [lo 2.1]

Work with a friend and see how many of the following are true (do not use a pocket calculator):

1 + 2 = 3

4 + 5 + 6 = 7 + 8

9 + 10 + 11 + 12 = 13 + 14 + 15

16 + 17 + 18 + 19 + 20 = 21 + 22 + 23 + 24

a) Are the above correct? _______________________________________________

b) Are you able to extend the pattern? _____________________________________

_________________________________ = ________________________________

_________________________________ = ________________________________

2. a) Now look at the following pattern and write down the answers:

  • 9 x 1 + 1 ______________________________________________________
  • 9 x 2 + 2 ______________________________________________________
  • 9 x 3 + 3 ______________________________________________________
  • 9 x 4 + 4 ______________________________________________________

b) Can you predict what 9 × 12 + 12 will be? _______________________________

c) Explain to a friend how you arrived at the answer.

3. a) Write down the answers to the following

  • 9 x 0 + 1 ______________________________________________________
  • 9 x 1 + 2 ______________________________________________________
  • 9 x 2 + 3 ______________________________________________________
  • 9 x 12 + 3 _____________________________________________________

b) Predict the answers of.

  • 9 x 123 + 4 ____________________________________________________
  • 9 x 123456 + 7 _________________________________________________

c) Check your answers with the help of a pocket calculator

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 2.1: We know this when the learner investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns.

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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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