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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 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.
yes that's correct
I think
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
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
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 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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