# 3.19 Tesselations

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## Memorandum

24.2 No, pentagons do not tesselate

26

(a) 50

(b) 105

(c) 993

(d) 995

(e) 12

(f) 12

(g) 12

(h) 7

(i) 100

(j) 100 000

(k) 5 r. 3

(l) 9 r. 5

(m) 8 r. 6

(n) 9 r. 5

(o) 7 r. 4

## Activity: tesselations [lo 1.8]

24. TESSELLATIONS

24.1 Did you know?

When a surface is covered by tiles so that there are no gaps left between the tiles, and no tiles overlap, the pattern that is made is called a tessellation, e.g.

We say the form tessellates.

24.2 Do you think ALL polygons will tessellate? __________ Motivate your answer.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

24.3 Use a combination of polygons, e.g. a triangle and a square and design a floor covering for a kitchen or bathroom. It must tessellate! Colour it in neatly.

25. Time for self-assessment

 Colour in the face that shows your ability: I was able to group different triangles according to their characteristics. I can explain the following concepts: acute-angled triangle equilateral triangle obtuse-angled triangle isosceles triangle right-angles triangle scalene triangle symmetry tessellations I can indicate the axes of symmetry of figures. I can draw a pattern with shapes that tessellate.

26. Can you improve the mark you got in the previous mental test? Try to complete this one in 2 minutes.

a) 16 + 19 + 15 = ____________

b) 28 + 36 + 41 = ____________

c) 1 009 – 16 = ____________

d) 1 012 – 17 = ____________

e) ____________ x 8 = 96

f) 9 x ____________ = 108

g) 84 ÷ 7 = ____________

h) 63 ÷ ____________= 9

i) 10 5 ÷ 103 = ____________

j) 10³ x 102 = ____________

k) 43 ÷ 8 = ____________

l) 59 ÷ 6 = ____________

m) 78 ÷ 9 = ____________

n) 86 ÷ 9 = ____________

o) 53 ÷ 7 = ____________

27. CHALLENGE!

• See if you can get the following correct

27.1 Arrange 20 toothpicks to form seven squares (see sketch). Move three toothpicks so that only five squares of the same size are left.

27.2 Arrange your toothpicks as shown in the example below. Move only two so that you form a parallelogram and three rhombuses.

27.3 Trace the following pieces of a tangram onto a folio sheet and cut them out neatly. (You may use a tangram if you have one in the class.)

Use all the pieces and build a cat in as many different ways as possible!

## Assessment

Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.

Assessment Standard 1.8: We know this when the learner performs mental calculations involving squares of natural numbers to at least 10 2 and cubes of natural numbers to at least 5 3 .

are nano particles real
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
what is variations in raman spectra for nanomaterials
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
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
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Rafiq
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Damian
How we are making nano material?
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What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
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Rafiq
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Mahi
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Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
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
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
how did you get the value of 2000N.What calculations are needed to arrive at it
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