# To recognise, classify and represent fractions (positive numbers)  (Page 2/2)

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Did you know?

 $\frac{2}{5}$ is a proper fraction. The numerator is smaller than the denominator. $\frac{9}{4}$ is an improper fraction. The numerator is bigger than the denominator. $1\frac{2}{3}$ is a mixed number . A mixed number is always bigger than 1 and consists of a whole number (1) plus a fraction ( $\frac{2}{3}$ ).

## To calculate by means of computations that are suitable to be used in adding ordinary fractions [lo 1.8.3]

1. Can you still remember how to add fractions? Let us see. Work together with a friend. Take turns to say the answers. Choose any two fractions and add them. Give your answer first as an improper fraction and then as a mixed number.

 1.1 1.2

## To recognise and use equivalent forms [lo 1.5.1]

1. Look carefully at the following questions and then complete them as neatly as possible.

EQUIVALENT FRACTIONS

 1.1 Colour $\frac{1}{2}$ of the figure in blue: 1.2 Colour $\frac{2}{4}$ of the figure in green: 1.3 Colour $\frac{4}{8}$ of the figure in yellow: 1.4 Colour $\frac{8}{\text{16}}$ of the figure in red:
• What do you notice?
 1.6 Complete:
 1 2
=
 .... 4
=
 4 ....
=
 .... 16

Did you know?

We call fractions that are equal in size, equivalent fractions. The word equivalent means ‘the same as’ . Thus the fractions are equal.

Do you remember?

 1 unit $\frac{1}{2}$ $\frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{3}$ $\frac{1}{3}$ $\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{4}$ $\frac{1}{5}$ $\frac{1}{5}$ $\frac{1}{5}$ $\frac{1}{5}$ $\frac{1}{5}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{6}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{7}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{8}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{9}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{10}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{11}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$ $\frac{1}{\text{12}}$

2. The following activity will prepare you for the addition and subtraction of fractions. Use your knowledge of equivalent fractions and answer the following. Where you are in doubt, use the diagram above.

2.1: $\frac{1}{2}=\frac{\dots }{\text{10}}$

2.2: $\frac{2}{3}=\frac{\dots }{6}$

2.3: $\frac{\dots }{5}=\frac{8}{\text{10}}$

2.4: $\frac{1}{4}=\frac{\dots }{\text{12}}$

2.5: $\frac{5}{\dots }=\frac{\text{10}}{\text{12}}$

2.6: $\frac{4}{\text{10}}=\frac{\dots }{5}$

2.7: $\frac{1}{3}=\frac{3}{\dots }$

2.8: $\frac{\dots }{6}=\frac{1}{2}$

2.9: $\frac{3}{6}=\frac{\dots }{\text{12}}$

2.10: $\frac{4}{6}=\frac{\dots }{9}$

## Assessment

 Learning outcomes(LOs) LO 1 Numbers, Operations and RelationshipsThe learner is able to recognise, describe and represent numbers and their relationships, and counts, estimates, calculates and checks with competence and confidence in solving problems. Assessment standards(ASs) We know this when the learner: 1.1 counts forwards and backwards fractions; 1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history; 1.3 recognises and represents the following numbers in order to describe and compare them: common fractions to at least twelfths; 1.5 recognises and uses equivalent forms of the numbers listed above, including: 1.5.1 common fractions with denominators that are multiples of each other; 1.6 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: financial (including buying and selling, profit and loss, and simple budgets); LO 5 Data handlingThe 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. We know this when the learner: 5.3 organises and records data using tallies and tables; 5.5 draws a variety of graphs to display and interpret data (ungrouped) including: a pie graph.

## Memorandum

ACTIVITY 1

1.1 Equal parts of a whole

1.2 Nominator

1.3 

1.4 Say in how many equal parts the whole is divided

1.5 Smaller

1.6 Nominator

1.7 Equivalents

1.8 Larger

1.9 Say with how many equal parts I work / are coloured in

1.10 Divide the nominator and denominator by the same number

2. 2.1 b and c

• c and e
• a en b

2.4 Not equal parts

2.5 (i) $\frac{1}{4}$

(ii) $\frac{2}{8}$ / $\frac{1}{4}$

(iii) $\frac{4}{8}$ / $\frac{1}{2}$

(iv) $\frac{3}{8}$

(v) $\frac{1}{2}$

(vi) $\frac{1}{8}$

(vii) $\frac{2}{\text{10}}$ / $\frac{1}{5}$

(viii) $\frac{4}{\text{10}}$ / $\frac{2}{5}$

(ix) $\frac{3}{\text{10}}$

(x) $\frac{2}{5}$

(xi) $\frac{1}{5}$

ACTIVITY 2

1.

 B 8 1 $\frac{1}{8}$ 7 $\frac{7}{8}$ C 6 1 $\frac{1}{6}$ 5 $\frac{5}{6}$ D 8 1 $\frac{1}{8}$ 7 $\frac{7}{8}$ E 3 1 $\frac{1}{3}$ 2 $\frac{2}{3}$ F 12 6 $\frac{6}{\text{12}}$ / $\frac{1}{2}$ 6 $\frac{6}{\text{12}}$ / $\frac{1}{2}$ G 16 8 $\frac{8}{\text{16}}$ / $\frac{1}{2}$ 8 $\frac{8}{\text{16}}$ / $\frac{1}{2}$ H 16 4 $\frac{4}{\text{16}}$ / $\frac{1}{4}$ 12 $\frac{\text{12}}{\text{16}}$ / $\frac{3}{4}$ I 8 2 $\frac{2}{8}$ / $\frac{1}{4}$ 6 $\frac{6}{8}$ / $\frac{3}{4}$ J 12 6 $\frac{6}{\text{12}}$ / $\frac{1}{2}$ 6 $\frac{6}{\text{12}}$ / $\frac{1}{2}$ K 8 2 $\frac{2}{8}$ / $\frac{1}{4}$ 6 $\frac{6}{8}$ / $\frac{3}{4}$

ACTIVITY 4

1.5 Fractions all equal

1.6 $\frac{1}{2}$ = $\frac{2}{4}$ = $\frac{4}{8}$ = $\frac{8}{\text{16}}$

2. 2.1 $\frac{5}{\text{10}}$ 2.6 $\frac{2}{5}$

2.2 $\frac{4}{6}$ 2.7 $\frac{3}{9}$

2.3 $\frac{8}{\text{10}}$ 2.8 $\frac{1}{2}$

2.4 $\frac{3}{\text{12}}$ 2.9 $\frac{6}{\text{12}}$

2.5 $\frac{\text{10}}{\text{12}}$ 2.10 $\frac{6}{9}$

3. 3.1 $\frac{\text{12}}{21}$ 3.4 $\frac{15}{\text{18}}$

3.2 $\frac{\text{14}}{16}$ 3.5 $\frac{9}{\text{10}}$

3.3 $\frac{4}{5}$ 3.6 $\frac{21}{\text{27}}$

4. $\frac{\text{10}}{\text{12}}$ = $\frac{5}{6}$ $\frac{2}{3}$ = $\frac{6}{9}$ $\frac{2}{3}$ = $\frac{4}{6}$

$\frac{3}{4}$ = $\frac{6}{8}$ $\frac{8}{\text{10}}$ = $\frac{4}{5}$ $\frac{3}{\text{10}}$ = $\frac{6}{\text{20}}$

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
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
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
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?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
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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 ?
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?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
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