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Memorandum

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

Test your skills

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.

Test your skills

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

7. Missing answers

(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

Questions & Answers

what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
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
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Read about ancient clocks like_ hour glass, water clock and sun dial for a quiz and hand on Activity in the class
Neha Reply

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Source:  OpenStax, Mathematics grade 4. OpenStax CNX. Sep 18, 2009 Download for free at http://cnx.org/content/col11101/1.1
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