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Mathematics

Common and decimal fractions

Common fractions

Educator section

Memorandum

INTRODUCTION

The learning programme for grade six consists of five modules:

1. Number concept, Addition and Subtraction

2. Multiplication and Division

3. Fractions and Decimal fractions

4. Measurement and Time

5. Geometry; Data handling and Probability

  • It is important that educators complete the modules in the above sequence, as the learners will require the knowledge and skills acquired through a previous module to be able to do the work in any subsequent module.

COMMON AND DECIMAL FRACTIONS (LO 1; 2 AND 5)

LEARNING UNIT 1 FOCUSES ON COMMON FRACTIONS

  • This module continues the work dealt with in grade 5. Addition and subtraction of fractions are extended and calculation of a fraction of a particular amount is revised.
  • Check whether the learners know the correct terminology and are able to use the correct strategies for doing the above correctly.
  • Critical outcome 5 (Communicating effectively by using visual, symbolic and /or language skills in a variety of ways) is addressed.
  • It should be possible to work through the module in 3 weeks.
  • ** Activity 17 is designed as a portfolio task. It is a very simple task, but learners should do it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.
  • LEARNING UNIT 2 FOCUSES ON DECIMAL FRACTIONS
  • This module extends the work that was done in grade 5. Learners should be able to do rounding of decimal fractions to the nearest tenth, hundredth and thousandth. Emphasise the use of the correct method (vertical) for addition and subtraction. Also spend sufficient time on the multiplication and division of decimal fractions.
  • As learners usually have difficulty with the latter, you could allow 3 to 4 weeks for this section of the work.
  • ** Activity 19 is a task for the portfolio. The assignment is fairly simple, but learners should complete it neatly and accurately. They must be informed in advance of how the educator will be assessing the work.

1.1 402

1.2 312

1.2 695

1.4 665

1.5 1,236

1.6 1,5

Brain teaser!

1.1

1.2 size 12{ { size 8{3} } wideslash { size 8{2} } } {} >1

2.

2.1 1 4 size 12{ { { size 8{1} } over { size 8{4} } } } {}

2.2 6 25 size 12{ { { size 8{6} } over { size 8{"25"} } } } {}

2.3 9 20 size 12{ { { size 8{9} } over { size 8{"20"} } } } {}

2.4 7 18 size 12{ { { size 8{7} } over { size 8{"18"} } } } {}

3.

3.1 6 12 size 12{ { { size 8{6} } over { size 8{"12"} } } } {}

3.2 4 12 size 12{ left ( { { size 8{4} } over { size 8{"12"} } } right )} {} 3.4 2 12 size 12{ left ( { { size 8{2} } over { size 8{"12"} } } right )} {}

3.3 size 12{ left ( { size 8{3} } wideslash { size 8{"12"} } right )} {}

Leaner section

Content

Activity: to find fractions of whole numbers [lo 1.8.6]

1. Calculate this on your own:

1.1 3 5 size 12{ { {3} over {5} } } {} of 670

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1.2 4 7 size 12{ { {4} over {7} } } {} of 526

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1.3 5 6 size 12{ { {5} over {6} } } {} of 834

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.......................................................................

.......................................................................

.......................................................................

1.4 5 8 size 12{ { {5} over {8} } } {} of 1 064

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.......................................................................

.......................................................................

.......................................................................

1.5 3 4 size 12{ { {3} over {4} } } {} of 1,648 m

.......................................................................

.......................................................................

.......................................................................

.......................................................................

1.6 5 9 size 12{ { {5} over {9} } } {} of 2,7kℓ

.......................................................................

.......................................................................

.......................................................................

.......................................................................

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 estimates and calculates by selecting and using operations appropriate to solving problems that involve:

1.8.6 finding fractions of whole numbers.

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Damian Reply
absolutely yes
Daniel
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Akash Reply
it is a goid question and i want to know the answer as well
Maciej
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Abigail
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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
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Yasmin
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Cesar
I'm interested in nanotube
Uday
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Jordan
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what chemical
Jordan
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 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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