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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 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
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
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
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Mueller 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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