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2.
a) 12 321
1 234 321
123 454 321
b) 12 345 654 321
3. a)
i) 9 109
ii) 18 218
iii) 27 327
iv) 36 436
b)
i) 633 763
ii) 81 981
4. a)
i) 111
ii) 222
iii) 333
b) Increases with111
c)
i) 12
ii) 15
d) 888
5. a)
i) 37 037
ii) 37 037
iii) 37 037
b)
i) 444 444 ÷ 12
ii) 555 555 ÷ 15
6. a)
i) 111 111
ii) 222 222
iii) 333 333
b)
i) 555 555
ii) 777 777
7.
i) 1 089
ii) 2 178
iii) 3 267
iv) 4 356
b) First 2 numbers increases with one at a time.
Last 2 numbers decreases with one at a time
c)
i) 99 x 55 = 5 445
ii) 99 x 66 = 6 534
2. Use your pocket calculator and investigate the following patterns:
a) 1 × 1 = 1
11 × 11 = 121
111 × 111 = ________________________
1 111 × 1 111 = _____________________
11 111 × 11 111 = ___________________
b) Now predict: 111 111 × 111 111 = _________________
c) Validate your answer with your pocket calculator.
3 . Complete the following patterns:
a) i) 9 109 × 1 = __________________
ii) 9 109 × 2 = __________________
iii) 9 109 × 3 = __________________
iv) 9 109 × 4 = __________________
b) What will be the answer to:
i) 9 109 × 7? __________________
ii) 9 109 × 9? __________________
c) Now explain the pattern to a friend.
4 . a) Here is another interesting pattern to investigate.
i) 37 × 3 = __________________
ii) 37 × 6 = __________________
iii) 37 × 9 = __________________
b) What have you noticed? _________________________________________
_____________________________________________________________
c) Fill in the missing answers:
i) 37 × ________________ = 444
ii) 37 × ________________ = 555
d) What will the product of 37 and 24 be? ______________________
e) Check your answer with the help of your pocket calculator.
5 . a) Calculate the following:
i) 111 111 ÷ 3 = ________________
ii) 222 222 ÷ 6 = ________________
iii) 333 333 ÷ 9 = . ________________
b) Write down 2 similar sums which will give the same answer.
i) __________________________________________________________
ii) __________________________________________________________
6 . a) Also investigate the following pattern:
i) 1 × 15 873 × 7 = ______________________________
ii) 2 × 15 873 × 7 = ______________________________
iii) 3 × 15 873 × 7 = ______________________________
b) Without using your pocket calculator, predict:
i) 5 × 15 873 × 7 = ______________________________
ii) 7 × 15 873 × 7 = ______________________________
7 . a) With the help of your pocket calculator write down the following answers:
i) 99 × 11 = ______________________________
ii) 99 × 22 = ______________________________
iii) 99 × 33 = ______________________________
iv) 99 × 44 = ______________________________
b) Examine the pattern carefully. Explain it to a friend.
c) Write down the following two sums in the series, with their answers:
i) _______________ × _______________ = _______________
ii) _______________ × _______________ = _______________
Complete the following by colouring the appropriate blocks: | yes | no | ||
I can complete number patterns with the help of my pocket calculator | ||||
I can predict patterns without the help of my pocket calculator | ||||
I still need help to really understand this particular learning unit |
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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