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Number concept

Educator section


Leaner section


Activity: to solve problems in context [lo 1.6.1/2]

To use a range of techniques to perform calculations [lo 1.10.1/5]

To use a range of strategies to check solutions [lo 1.11]

In the previous activity you practised your mental skills. On the other hand it is also important to be able to calculate correctly by using pencil and paper. Form groups of three. Your teacher will provide the paper you need. Then execute the following assignments neatly and accurately.

1. Solve the following problems:

1.1 Mr Dlamini has won a competition and would like to buy each of his three sons a house. He sees the following advertisements:

House A: R895 000

House B: R795 799

House C: R799 495

What will the three houses cost Mr Dlamini?

1.2 Nancy sees an exhibition of dinosaurs in a museum. The weights of the three dinosaurs are given as follows:

A: 45 875 kg

B: 9 324 kg

C: 26 879 kg

What is the combined weight of the dinosaurs?

1.3 The registration figures for the “Long-winded Marathon” are as follows:

2002: 24 513

2003: 31 687

2004: 42 196

How many entries have there been in the marathon up to now?

2. Check you answers using your pocket calculator.

3. Explain to the class how your group has arrived at the answers.

4. Compare your methods with those of the other groups. How do they differ?

Time for group assessment

Assess your work on a scale of 1 – 4 and circle the appropriate number

1 = needs more attention

2 = fairly good

3 = very good

4 = excellent

Criteria: Needs attention Fairly good Very good Ex-cellent
All group members participated in the activity. 1 2 3 4
Group members listened to each other. 1 2 3 4
Group members helped and encouraged each other. 1 2 3 4
Group members adhered to the instructions. 1 2 3 4
Each one had a chance to speak. 1 2 3 4
The group’s work was neatly done. 1 2 3 4
The answers were calculated correctly. 1 2 3 4


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 1.6: We know this when the learner solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues such as:

1.6.1: financial (including buying and selling, profit and loss, simple budgets, reading and interpreting accounts, and discount);

1.6.2: measurements in Natural Sciences and Technology contexts.

Assessment Standard 1.10: We know this when the learner uses a range of techniques to perform written and mental calculations with whole numbers including:

1.10.1: adding, subtracting and multiplying in columns;

1.10.5: using a calculator.

Assessment Standard 1.11: We know this when the learner uses a range of strategies to check solutions and judge the reasonableness of solutions.

Questions & Answers

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.
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
many many of nanotubes
what is the k.e before it land
what is the function of carbon nanotubes?
I'm interested in nanotube
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
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Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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