1.1 Number patterns

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Memorandum

3

a 135; 405; 1 215; 3 645

b. 120; 720; 5 040; 40 320

c. 72; 56; 42; 30

d. 4 374; 1 458; 486; 162

e.

f.

g. 20; 10; 5; 2.5

2. did you know?

Number patterns are also called SERIES . If you look around carefully, you will see patterns everywhere: on your clothes, in your house, on pieces of jewellery. You can also see patterns in nature, e.g. a spider's web, seashells or inside flowers. Even music has number patterns! (The pattern is in the length of the notes.)

a. Page through a magazine to look for examples and paste pictures of the things that have been discussed in this space.

b. Design your own pattern for kitchen floor tiles. For example:

3. Work with a friend and see if you can complete the following number patterns:

a) 5 ; 15 ; 45 ; ___________ ; ___________ ; ___________ ; _________

b) 1 ; 2 ; 6 ; 24 ; _________ ; _________ ; _________ ; _________

c) _________ ; _________ ; _________ ; _________ ; 20 ; 12 ; 6 ; 2

d) _________ ; _________ ; _________ ; _________ ; 54 ; 18 ; 6 ; 2

e) $\frac{1}{3}$ ; $\frac{3}{5}$ ; $\frac{5}{7}$ ; _________ ; _________ ; _________ ; _________

(f) _________ ; _________ ; _________ ; _________ ; $\frac{3}{4}$ ; $\frac{2}{3}$ ; $\frac{1}{2}$

(g) 160 ; 80 ; 40 ; _________ ; _________ ; _________ ; _________

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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