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 ( $\frac{2}{3}$ ).

Activity 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.

Ask your teacher’s help if you struggle.

1.1
1.2

Activity 4:

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 $\frac{8}{16}$ 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
$\frac{1}{2}$	$\frac{1}{2}$
$\frac{1}{3}$	$\frac{1}{3}$	$\frac{1}{3}$
$\frac{1}{4}$	$\frac{1}{4}$	$\frac{1}{4}$	$\frac{1}{4}$
$\frac{1}{5}$	$\frac{1}{5}$	$\frac{1}{5}$	$\frac{1}{5}$	$\frac{1}{5}$
$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$
$\frac{1}{7}$	$\frac{1}{7}$	$\frac{1}{7}$	$\frac{1}{7}$	$\frac{1}{7}$	$\frac{1}{7}$	$\frac{1}{7}$
$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$	$\frac{1}{8}$
$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$	$\frac{1}{9}$
$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{10}$
$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$	$\frac{1}{11}$
$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{12}$

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

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

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

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

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

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

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

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

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

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) $\frac{2}{10}$ / $\frac{1}{5}$

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

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

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

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

ACTIVITY 2

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	$\frac{6}{12}$ / $\frac{1}{2}$	6	$\frac{6}{12}$ / $\frac{1}{2}$
G	16	8	$\frac{8}{16}$ / $\frac{1}{2}$	8	$\frac{8}{16}$ / $\frac{1}{2}$
H	16	4	$\frac{4}{16}$ / $\frac{1}{4}$	12	$\frac{12}{16}$ / $\frac{3}{4}$
I	8	2	$\frac{2}{8}$ / $\frac{1}{4}$	6	$\frac{6}{8}$ / $\frac{3}{4}$
J	12	6	$\frac{6}{12}$ / $\frac{1}{2}$	6	$\frac{6}{12}$ / $\frac{1}{2}$
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 $\frac{1}{2}$ = $\frac{2}{4}$ = $\frac{4}{8}$ = $\frac{8}{16}$

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

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

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

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

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

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

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

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

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

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

Questions & Answers

how does Neisseria cause meningitis

Nyibol Reply

what is microbiologist

Muhammad Reply

what is errata

Muhammad

is the branch of biology that deals with the study of microorganisms.

Ntefuni Reply

What is microbiology

Mercy Reply

studies of microbes

Louisiaste

when we takee the specimen which lumbar,spin,

Ziyad Reply

How bacteria create energy to survive?

Muhamad Reply

Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments

_Adnan

But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?

Muhamad

they make spores

Louisiaste

what is sporadic nd endemic, epidemic

Aminu Reply

the significance of food webs for disease transmission

Abreham

food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.

Mark

explain assimilatory nitrate reduction

Esinniobiwa Reply

Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).

Elkana

This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products

Elkana

Examples of thermophilic organisms

Shu Reply

Give Examples of thermophilic organisms

Shu

advantages of normal Flora to the host

Micheal Reply

Prevent foreign microbes to the host

Abubakar

they provide healthier benefits to their hosts

ayesha

They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!

Mark

what is cell

faisal Reply

cell is the smallest unit of life

Fauziya

cell is the smallest unit of life

Akanni

Innocent

cell is the structural and functional unit of life

Hasan

is the fundamental units of Life

Musa

what are emergency diseases

Micheal Reply

There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️

_Adnan

define infection ,prevention and control

Innocent

I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life

Lubega

Heyy Lubega hussein where are u from?

_Adnan

en français

Adama

which site have a normal flora

ESTHER Reply

Many sites of the body have it Skin Nasal cavity Oral cavity Gastro intestinal tract

Safaa

skin

Asiina

skin,Oral,Nasal,GIt

Sadik

How can Commensal can Bacteria change into pathogen?

Sadik

How can Commensal Bacteria change into pathogen?

Sadik

all

Tesfaye

by fussion

Asiina

what are the advantages of normal Flora to the host

Micheal

what are the ways of control and prevention of nosocomial infection in the hospital

Micheal

what is inflammation

Shelly Reply

part of a tissue or an organ being wounded or bruised.

Wilfred

what term is used to name and classify microorganisms?

Micheal Reply

Binomial nomenclature

adeolu

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Source: OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3

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