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Mathematics

More geometry, data handling and probability

Educator section

Memorandum

16.2

16.3 (1,1) (1,2) (1,3) (1,4) (1,5) (2,5) (2,4) (2,3) (3,3) (3,4) (3,5) (3,6)

(3,7) (4,7) (5,7) (6,7) (6,6) (7,6) (8,6) (8,5) (8,4) (8,3) (8,2) (8,1)

(9,1) (9,2) (9,3) (9,4) (9,5) (9,6) (9,7) (9,8) (8,8) (7,8) (7,9) (8,9)

(9,9) (9,10)

17.2

(a) 50, 7N

(b) 10, 2S

(c) 30, 5S

(d) 70, 5N

(e) 4W, 1N

(f) 5W, 3S

(g) 3W, 6N

(h) 10, 2N

19.

(a) 343

(b) 200

(c) 270 000

(d) 1 600 000

(e) 100

(f) 164

(g) 83

(h) 0

(i) 90

(j) 150

(k) 30

(l) R148

(m) 13

(n) 81

(o) 28

Leaner section

Content

Activity: another type of data [lo 3.8, lo 5.9, lo 1.8]

16. ANOTHER TYPE OF DATA

16.1 Did you know?

We can collect data or find information by plotting given co-ordinates on a grid.

Look carefully at the example.

The dot (l) is at (4,7).

The 4 indicates the horizontal number and the 7 indicates the vertical number.

16.2 Plot the following on the island.

16.3 Write down the co-ordinates for the route that a group of learners followed during a recent fun-run.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

16.4 CHALLENGE!

  • Write your own secret message. Give the co-ordinates to a friend to decipher your message.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

  • Let your friend write your message here:

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

17. Did you know?

17.1 Sometimes co-ordinates are combined with compass directions to find a certain place

You find the airport at 3W; 3N. (W = West; N = North)

17.2 Where will you find the following places?

a) Zoo ___________________________________________________________

b) Library ________________________________________________________

c) Shopping centre _________________________________________________

d) Park __________________________________________________________

e) Bus stop _______________________________________________________

f) Public swimming pool ____________________________________________

g) Station _________________________________________________________

h) Golf course _____________________________________________________

18. Time for self-assessment

  • Tick the applicable block:
Yes Still Struggling
I was able to represent the information at 14.1 by means of a line graph.
I was able to draw the pie graph at 14.2.
I was able to correctly represent the number of votes in the election, in a pictogram.
I was able to draw a column graph at 14.4.
I was able to draw a double column graph at 14.5.
I was able to correctly answer the questions at 15.1 in connection with time.
I was able to interpret the given scale at 15.2 correctly and could answer the questions relating to it.
I was able to interpret the given co-ordinates on the map correctly and could carry out the instructions at 16.2.
I was able to correctly answer the questions referring to the combination of direction and co-ordinates (17.2).

19. Let us see if you can get full marks for your last mental! Try to answer all the questions in less than 2 minutes!

a) 7³ = __________________________

b) 5² x 2³ = __________________________

c) 3³ x 10 4 = __________________________

d) 2 4 x 10 5 = __________________________

e) (4 x 7) ÷ (8 x 9) = __________________________

f) (12 x 9) ÷ (7 x 8) = __________________________

g) 16 ÷ 6 x 8 ÷ 19 = __________________________

h) (2 x 8 x 5 x 4 x 7) x 0 = __________________________

i) = __________________________

j) of 200 = __________________________

k) 0,3 = __________________________%

l) 25% of R592 = __________________________

m) (72 ÷ 9) ÷ (45 ÷ 9) = __________________________

n) (63 ÷ 7) x (54 ÷ 6) = __________________________

o) 92 – 9 x 4 – 28 = __________________________

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 .

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 3.8: We know this when the learner locates positions on co-ordinate systems (ordered grids) and maps.

Learning Outcome 5: The learner will be able to collect, summarise, display and critically analyse data in order to draw conclusions and make predictions, and to interpret and determine chance variation.

Assessment Standard 5.9: We know this when the learner critically reads and interprets data presented in a variety of ways to draw conclusions and make predictions sensitive.

Questions & Answers

what are the products of Nano chemistry?
Maira Reply
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
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
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
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 ?
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
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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