# Numeric patterns

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ACTIVITY 1

## Multiples; number patterns; flow diagrams

1. Multiples of 6
• Oral
• Missing multiples of 6
 1 2 3 4 5 6 7 8 9 10 11 12 x 6 36 42 48 54 72
• Oral
• Own answers e.g. they’re all even numbers; they’re all also multiples of 3; some are multiples of 9; some are multiples of 12; they are no prime numbers etc.
• Flow diagram: Output numbers are: 12; 18; 24; 30; 36; 42; 48; 54; 60
• Using the calculator to count in 6’s: press clear; 6 + = = = or 6 + + = = =
• 6; 12; 18; 24; 30; 36; 42; 48; 54; 60; 66; 72; 78; 84; 90; 96; 102
• clear; 102 – 6 = = = or clear; 6 － － 102 = = =

2. Multiples of 7

2.1 Flow diagram – output numbers: 14; 21; 28; 35; 42; 49; 56; 63; 70

• Missing multiples of 7
 1 2 3 4 5 6 7 8 9 10 11 12 x 7 28 35 42 49 56 63 84
• Yes
• Own ideas

2.3 105; 98; 91; 84; 77; 70; 63; 56; 49; 42; 35; 28; 21; 14; 7; 0

2.4 Missing multiples of 6 and of 7

 1 2 3 4 5 6 7 8 9 10 11 12 x 6 30 36 42 48 54 60 66 72 x 7 35 42 49 56 63 70 77 84

2.5 The difference between the multiples of 6 and of 7: 1; 2; 3; …

i.e. 1 x 6 = 6 ; 1 x 7 = 7 the difference between the answers is 1;

2 x 6 = 12 ; 2 x 7 = 14 the difference between the answers is 2;

3 x 6 = 18 ; 3 x 7 = 21 the difference between the answers is 3, etc.

Missing numbers:

1; 5 ; 9

2; 6; 10

3; 7; 11

4; 8; 12

1. Multiples of 8 missing numbers:

32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

3.2 Flow diagram: missing output numbers: 16; 24; 32; 40; 48; 56; 64; 72; 80

3.3 Missing multiples of 8:

 1 2 3 4 5 6 7 8 9 10 11 12 x 8 24 32 40 48 56 64 72 96

3.4 Oral

3.5 Oral

4. Multiples of 9

4.1 Flow diagram – missing output numbers: 18; 27; 36; 45; 54; 63; 72; 81; 90

• Missing multiples of 9
 1 2 3 4 5 6 7 8 9 10 11 12 x 9 36 45 54 63 72 81 108
• Oral

## For fun – oral

1. (a) 28, 48, 72, 16

(b) 72, 21, 7, 54

(c) 42, 56, 30, 56

(d) 10, 27, 63, 25

(e) 100, 16, 81, 24

(f) 18, 40, 0, 72

(g) 8, 40, 21, 70

(h) 30, 36, 64, 24

(j) 16, 0, 36, 35

(k) 45, 32, 35, 28

2. Own

ACTIVITY 2

1. Flow diagram – multiples of 8, mixed up

Missing output numbers: 16; 72; 32; 48; 64; 56; 40; 24; 80

2. Own

3. Own

4. Own methods of solving multiplication of single digit x single digit.

1. Flow diagram – missing output numbers: 50; 57; 64; 71; 78; 85

2. Flow diagram – missing output numbers: 6; 7; 8; …;11

– missing output numbers: …; 86; 95

3. Flow diagram – missing output numbers: …; 8

– missing output numbers: 28; 40; 46; …; 58; 76

4. Flow diagram – missing output numbers: …; 6; 7

• missing output numbers: 240; 300; …; 480; 540

5. Flow diagram – missing output numbers: …; 6; 7

missing output numbers: 240; 300; …; 480; 540

6. x 60 ≈ x 6 x 10

(a) 120 (b) 490 (c) 150 (d) 630 (e) 240

(f) 800 (g) 3 600 (h) 4 000 (j) 420 (k) 4 500

ACTIVITY 3 – estimations and calculations

1.1 126; 7 x 20 = 140 or 10 x 18 = 180

1.2 144 20 x 6 = 120 or 24 x 10 = 240 or 20 x 10 = 200

1.3 1 944 40 x 50 = 2 000

2. Word sums

2.1 6 Smarties

2.2 7 vehicles

2.3 17 trays and 4 apples left over

3.

3.1 2 000 kg: 2 000 + 500

3.2 20 bags: 25 x 20 = 500

3.3 715 km: rounding off: 60 x 10 = 600 (various methods of checking)

3.4 605 km; rounding off: 60 x 10 = 600

3.5 307 km 899 km + 307 km = 762 km + 444 km

3.6 17 rondavels; 17 x 8 = 80 + 56 = 136

3.7 R39: 39 x 7 = 210 + 63 = 273

3.8 I – I – I – I – I – I : 51 m

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yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
no can't
Lohitha
where we get a research paper on Nano chemistry....?
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
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ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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Damian
yes that's correct
Professor
I think
Professor
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Alexandre
nanocopper obvius
Alexandre
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Rafiq
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Damian
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LITNING
scanning tunneling microscope
Sahil
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Santosh
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Mahi
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Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
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Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
how did you get the value of 2000N.What calculations are needed to arrive at it
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