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Mathematics

More geometry, data handling and probability

Educator section

Memorandum

14.1 – 14.5 Check learner’s efforts

14.4 Fanta

14.5 R25,00

15.1 (a) half past eight

(b) 1 hour 40 min

(c) 53 min

(d) half past six

(e) 55 min

(f) 18 hours

15.2 (a) 14 000 km

(b) 14,7 hours

(c) approximately 7 200 km

(d) 600 km/h

(e) approximately 49 and a half

(f) 12 hours 47 min

(g) 08:05

(h) 07:05

(i) “Daylight saving” –use as much sun as possible.

(j) USA

Leaner section

Content

Activity: own representation of data [lo 5.5, lo 5.8, lo 5.9, lo 4.1]

14. OWN REPRESENTATION OF DATA:

14.1 Vusi, a learner in Grade 7, was seriously sick and had to go to hospital. The nurse took his temperature regularly

08:00 37,8º

10:00 38,2º

12:00 38,4º

14:00 37,6º

16:00 38º

18:00 39,2º

20:00 38,8º

  • Represent the information on a line graph.

14.2 In a certain town water is consumed as follows:

gardening 32%

laundry and dishes 15%

toilets 28%

bathing 20%

cooking and drinking 5%

  • Represent the information by means of a pie graph

14.3 During the election of prefects at Sunshine Primary School, Stephanie received 80 votes, Tamara received 120 votes, Buck 60 votes and Sean 140 votes.

  • Draw a pictogram to indicate the position of the votes.

14.4 Draw a column/bar graph to represent the sales of cool drink during the year:

Lemonade 22 000 litres

Fanta 38 000 litres

Coke 45 500 litres

Cream soda 20 500 litres

Tab 43 250 litres

  • The sales of which cool drink are the closest to the average sales of all the cool drinks?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

14.5 BRAIN-TEASER!

  • Can you show the following information on the same graph?

Jan Feb Mar Apr May

Jan Feb Mar Apr May
Price of Cheddar cheese per kg R12.50 R15.00 R12.50 R17.50 R22.50
Price of Sweet milk cheese per kg R17.50 R22.50 R12.50 R20.00 R25.00

(Hint: draw up a double column graph!)

  • Why, do you think, does the price vary from month to month?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

  • How much more would you have paid for Sweet milk cheese in February than in January?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

15. INTERPRETATION OF DATA

15.1 Look at the TV guide and answer the following questions.

a) At what time can you look at the aerobic exercises? _____________________

b) How long is the drama “Deep in my Heart”? ___________________________

c) How long is the program “Once and Again”?___________________________

d) At what time can you watch Big Brother II____________________________

e) How long must you wait after “What women want” before you can watch KTV _______________________________________________________________

f) How long is the whole broadcast on this particular day? __________________

g) How much time do YOU spend every day, on average, watching TV? ______

15.2 Study the world map and the given scale and determine:

a) What is the distance from Cape Town to New York? ____________________

b) If an aeroplane flies at 950 km/h, how long is it going to take for you to fly form Cape Town to New York? ___________________________________________

c) How far is it form Perth to Los Angeles? ______________________________

d) At what speed are you travelling if it takes you 12 hours to cover the distance at c? _________________________________________________________________

e) If you could walk at a speed of 8 km/h from Tokyo to London, then about how many days will it take you to complete the distance? __________________________

f) If you leave Cape Town at 20:18 and arrive in London the following morning at 09:05 (S.A. time), how long does your journey last?_________________________

g) What time will it be in England (March to September)?___________________

h) What time will it be in England (September to March)?___________________

i) Why does England adapt her time in this way? _________________________

_______________________________________________________________

j) Where else in the world is time also adapted in this way? ________________

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.1: We know this when the learner solves problems involving time, including relating time, distance and speed;

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 5.5: We know this when the learner organises (including grouping where appropriate) and records data using tallies, tables and stem-and-leaf displays;

Assessment Standard 5.8: We know this when the learner draws a variety of graphs by hand/technology to display and interpret data (grouped and ungrouped);

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 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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