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Mathematics

Number patterns

Educator section

Memorandum

4.

4; 8; 12: 28; 40; 48

5. Row is faulty: must be 0; 1; 1; 2; 3; 5; 8; etc.

a) 0 + 1 = 1; 1 + 1 = 2; 2 + 1 = 3; 3 + 2 = 5; 5 + 3 = 8; 8 + 5 = 13; 13 + 8 = 21;

21 + 13 = 34

b) It follows the Fibonacci sequence

c) 55; 89; 144

d) 1 7 - 21 - 35 - 35 - 21 - 7 - 1

1 - 8 - 28 - 56 - 70 - 56 - 28 - 8 - 1

1 - 9 - 36 - 84 - 126v126 - 84 - 36 - 9 - 1

Leaner section

Content

Activity: number patterns (terms) [lo 2.2, lo 2.3.3]

For the next activity you will need a box of matches. Place the matches as shown in the diagram.

4.

  • Complete the table. If necessary, use your matches.
Number of squares 1 2 3 7 10 12
Number of matches

5. did you know?

Leonardo Fibonacci was an Italian mathematician who lived during the 12th century. Because he lived in the town of Pisa, he was also called Leonardo of Pisa. Fibonacci looked at patterns in plants and arrived at the well-known idea of the Fibonacci sequence or series:

0 ; 1 ; 1 ; 2 ; 3 ; 5 ; 8 ; 13 ; 21 ; 34

  • Take a look at the heads of sunflowers and the spirals of pine cones to see if you can observe the Fibonacci pattern.

a) Are you able to explain the pattern? ____________________________________

b) Work in groups of four. Look around in the school garden (or at home) and count the petals of different flowers.

What do you observe? __________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

c) Add three more numbers to the Fibonacci series:

5 ; 8 ; 13 ; 21 ; 34 ; ________________________________________________

d) Ask your educator for graph paper and try and draw the Fibonacci spiral.

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 2.2: We know this when the learner describes, explains and justifies observed relationships or rules in own words;

Assessment Standard 2.3: We know this when the learner represents and uses relationships between variables in order to determine input and/or output values in a variety of ways using;

2.3.3: tables.

Questions & Answers

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 to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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Cied
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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