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.