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More geometry, data handling and probability

Educator section



(a) 14

(b) 37

(c) 47

(d) 97

(e) 0,47

(f) 0,47

(g) 10 000

(h) 144

(i) 63

(j) 630

(k) 6 300

(l) 630 000

(m) 3

(n) 30

(o) 30

Leaner section


Activity: transformations [lo 3.5, lo 1.8]


6.1 Refer back to your tessellations at question 1(c). You could have completed the tessellations with a single triangle but then the triangle would have had to slide, turn or turn around.

6.2 NOTE

To move from the black tot the white triangle, we use the following transformations

Slide translation

Flip reflection

Rotation turn

6.3 Work together with a friend. Trace one of the triangles at question 1(c). Cut it out and match it up with your tessellations. See where you can slide, turn or turn the triangle around to complete the whole tessellation.

  • Discuss your findings with the rest of the class.

6.4 Draw any tessellation where you can make use of any of the three transformations. Explain your tessellation to the rest of the class.

7. Time for self-assessment

  • Tick the applicable block:
Yes No
I was able to help build a 3-dimensional mobile that balanced.
My face in 1(b) is symmetrical.
I was able to complete correctly the tessellations at 1(c).
I was able to determine correctly the breadth of the class in “el”.
I can enlarge correctly sketches according to scale.
I can reduce correctly sketches according to scale.
I can explain the following concepts:
  • rotation;
  • transformation.
I can determine how many times a given figure will rotate in a full revolution.
I can draw tessellations by means of transformations.

8. Complete the following mental test as quickly and accurately as possible:

a) 8 + 6 = _______________________

b) 28 + 9 = ______________________

c) 28 + 19 = _____________________

d) 58 + 39 = _____________________

e) 0,97 – 0,5 = ___________________

f) 1,97 – 1,5 = ___________________

g) 105 ÷ 10 = ____________________

h) 32 x 42= _______________________

i) 7 x 9 = ________________________

j) 70 x 9 = _______________________

k) 70 x 90 = ______________________

l) 700 x 900 = ____________________

m) 18 ÷ 6 = _______________________

n) 1 800 ÷ 60 = ___________________

o) 18 000 ÷ 600 = _________________


Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.5: We know this when the learner uses transformations (rotations, reflections and translations) and symmetry to investigate (alone and/or as a member of a group or team) properties of geometric figures;

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 de performs mental calculations involving squares of natural numbers to at least 10 ² and cubes of natural numbers to at least 5 ³ .

Questions & Answers

what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
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
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
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.
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
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
characteristics of micro business
for teaching engĺish at school how nano technology help us
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
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
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.
what is the actual application of fullerenes nowadays?
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.
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.
is Bucky paper clear?
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
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.
Do you know which machine is used to that process?
how to fabricate graphene ink ?
for screen printed electrodes ?
What is lattice structure?
s. Reply
of graphene you mean?
or in general
in general
Graphene has a hexagonal structure
On having this app for quite a bit time, Haven't realised there's a chat room in it.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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