# 3.1 Recognise and classify ordinary fractions

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 ANumber BRounded off to the nearest whole number E.g. $2\frac{8}{\text{10}}$ → 3 1.1 $3\frac{1}{6}$ 5 1.2 $3\frac{5}{8}$ 2 1.3 $4\frac{7}{9}$ 7 1.4 $2\frac{2}{5}$ 3 1.5 $6\frac{1}{8}$ 4 1.6 $7\frac{1}{4}$ 6

Activity 5:

## To calculate through selection and use of suitable computations [lo 1.8.3]

1.1 Now answer the following questions:

a) $\frac{1}{5}+\frac{3}{5}$ = .........................

b) $1\frac{1}{5}+\frac{2}{5}$ = .........................

c) $\frac{2}{5}+\frac{4}{5}$ = .........................

d) $1\frac{1}{5}+\frac{1}{5}$ = .........................

e) Calculate:

$\frac{2}{3}+\frac{7}{9}$ ; $\frac{4}{5}+\frac{9}{\text{10}}$

$\frac{5}{6}+\frac{2}{3}$ ; $\frac{7}{8}+\frac{3}{4}$

$\frac{5}{8}+\frac{1}{2}$ ; $\frac{1}{4}+\frac{5}{8}$

## To write number sentences in order to describe a problem situation [lo 2.4]

1. Split up into groups of three. Work through the following problems and see if you can find solutions:

a) A farmer transports his fruit to the market by lorry. On arrival he discovers the following: one quarter of the bananas, one eighth of the apples and three eighths of the pears have become spoiled. Which fraction of the fruit could not be off-loaded to be sold at the market?

b) The learners of the Khayelitsha Primary School decided to add some colour to the informal settlement nearby. They painted two fifths of the shacks yellow. Later three tenths of the remaining shacks were painted blue.

i) What fraction of all the shacks was painted?

ii) What fraction still had to be painted?

iii) Which colour would you paint them and why?

c. Mrs Johnny decided to start a soup kitchen in her area.

i) If she gives 5 and seven ninths of the pea soup, and 3 and two thirds of the bean soup to less privileged people on a certain day, what fraction of the soup is eaten altogether on that specific day?

ii) What is your favourite kind of soup?

d. It takes 2 and a half hours to fly from Cape Town to Johannesburg. A flight from Johannesburg to London takes 9 and three quarters of an hour. How long will it take you altogether to fly to London if you depart from Cape Town? Give your answer as a mixed number.

e. Mrs Zuqa makes delicious fruit juices to give to the learners at school during break. She mixes 4 and three quarters of orange juice with 1 and a half litre of pineapple juice. What is the difference between these two quantities?

f. Mrs Sonn helps her friend to bake cakes for the learners. She buys 5 kg of sugar and uses 3 and a third of this quantity. How many kilograms of sugar are left?

2. Your teacher will now ask you to explain one of the above-mentioned problems to the rest of the class.

3. Compare your solutions to those of other groups in the class.

4. Discuss the differences and / or similarities between the different methods that were used.

## 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);

## Memorandum

ACTIVITY 1

1.

1.1<1.2>

1.3>1.4<

1.5 = 1.6<

1.7 = 1.8<

1.9>1.10 =

2. 2.1 $\frac{3}{4}$ 2.2 $\frac{2}{3}$

2.3 $\frac{9}{\text{10}}$ 2.4 $\frac{1}{2}$

2.5 $\frac{1}{2}$ 2.6 $\frac{4}{5}$

CLASS DISCUSSION

First make both nominators the same by finding the smallest common denominator

OR

First simplify the fraction, if you can

3. 3.1>

3.2>

3.3 =

3.4 =

4. 4.1<

4.2<

4.3>

4.4>

Another BRAIN-TEASER!

$\frac{5}{6}$ ; $\frac{7}{9}$ ; $\frac{2}{3}$ ; $\frac{1}{2}$

ACTIVITY 3

1.

 1.1 $\frac{5}{5}$ $\frac{8}{9}$ 1.2 $\frac{5}{5}$ $\frac{3}{5}$ 1.3 $\frac{4}{4}$ $\frac{3}{4}$ 1.4 $\frac{6}{6}$ $\frac{4}{5}$ 1.5 $\frac{6}{6}$ $\frac{8}{9}$

ACTIVITY 4

1.

• 3 $\frac{1}{6}$ $\to$ 3 1.2 3 $\frac{5}{8}$ $\to$ 4

1.3 4 $\frac{7}{9}$ $\to$ 5 1.4 2 $\frac{2}{5}$ $\to$ 2

1.5 6 $\frac{1}{8}$ $\to$ 6 1.6 7 $\frac{1}{4}$ $\to$ 7

BRAIN-TEASER!

9

ACTIVITY 5

1.1

a) $\frac{4}{5}$ ;

b) 1 $\frac{3}{5}$ ;

c) 1 $\frac{1}{5}$ ;

d) 1 $\frac{2}{5}$

e) (i) 1 $\frac{4}{9}$

(ii) 1 $\frac{7}{\text{10}}$

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

(iv) 1 $\frac{5}{8}$

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

(vi) $\frac{7}{8}$

suppose you are at a dinner party with your friend.The fork, spoon, knife and glasses all produce noisy sounds.What psychological factors influence the discussion between you and your friend?
It may give me an impression to the other person that the person who makes the noise is nervous or either ill-mannered.
Indefatigable
I would think that people at the table are not comfortable which could be because of the environment or the topic of discussion or the thoughts working in their minds.
Ritu
depending how loud and frequently the sound are made the discussion can change
David
why functinalism?
which question is important in this chapter
what is the difference between retention and application and what can be done to improve the connection between the two
Clues should be developed and associations be formed
philip
what is the study of personality?
psychology
Racheal
individual traits
Utkarsh
Personality psychology
Riya
personality psychology is a branch of psychology that studies personality and its variation among individuals
Swapnil
what are the basic statistical concepts in psychological research ?
mean ,median ,NPC ,t ,z test
Soumyashree
what is the NPC?
Maen median mood stander daviation
Janat
Percentile also
Janat
NPC stans for normal probability curve
Janat
Normal probability curve (NPC)
Janat
yez
Soumyashree
Yhn koi b questione kr skta h?
Janat
is there any scale for measuring post COVID Anxiety?
I'd like to know if there's any?
Zino
I've heard about Coronavirus Anxiety Scale (CAS). It works as a mental health screener but I'm not sure anyone can do the test except psychologist
divani
Thanks !
Zino
no
Hausa
Thanks Divani zahra
Mohd
explain the function how intelligence and learning function together
Learning comes before intelligence Learning could be the process of acquiring knowledge. Or the ability to gain knowledge Whereas intelligence is the display of acquired knowledge.
Felix
I love it
Teena
Jade Baccus, this is kind of hard "to me" it is the root of living altogether, without both how can we live in a world like this? how can we make new discoveries?
intelligence: can be nourisht and remain indipendent from how much knowledge we aquire. But can be displayed thru use and application of knowledge itself
fabio
Hey, is there any classes by psychology grp
Smitha
Hlw Every0ne
Khalilur
learning can be work together with intelligence like a partner with the thinking of life
James
schools of psychology
hi
giri
hi
Swapnil
hi
Munir
hello
Imsekar
hai
Tu
Hi
piya
hello
kajal
Hello
Mohamed
hii
grace
hi
george
hi
Anuja
hi
kajal
gud night
grace
Good night everyone
Anuja
good night 😴🌃
Swapnil
hello
Ananya
What's the point of this chat section?
Mohamed
to say hello and to feel solidarity.
Tu
the early childhood can reference the emotions?
Our early childhood experiences are important in the development of our personalities. It kind of shapes our behaviour and mannerism.
Debarpita
Especially in choosing career
Felix
😅Well that's complicated. It differs from person to person.
Debarpita
The early childhood or let's say your upbringing plays a vital role in driving your emotions. If one did not have a pleasant childhood it's highly likely they are more vulnerable to depression or some other psychological condition.
Indefatigable
how to change the emotion?
change the thought at hand .
Shawnte
Then I'm assuming the mind will begin to let go of the prior emotion.
Shawnte
Yes right. Think about something else, then emotion will follow.
Annie
then join life
Munir
Munir
Emotions run hand in hand with the mind and environment. A person can be sad or angry on a certain things going on in their mind then something can happen in the environment around them that m adds keys them happy.
Douglas
how has the new legalization of marijuana effected the anti drug programs
how to change the emotional ?
Sammi
I am wrilly interisting about big problems psihycil nature between famillys/like parents bully some childe physically , even hall life and show some kinde of heath and \$inaid
same
Gaea
Never give minor issues space. Time creates space, more time more space therefore if u give a small issue more time it gets more space in your mind hence breeding stress
yes yes yes so true
Gaea
hi..my brother gets angry Everytime I say no to him for anything he ask for he don't talk to me after that.. Everytime I only have to say sorry so this time I decided not to say sorry he haven't talked to me for two weeks I am so stressed what should I do
Nush
give him so time. I think you should let him figure out his own feelings. plus, you did the right thing. he needs to know that not everyone will give him what he wants.
Gaea
Don't be stressed out . You did right thing. but remember one thing don't show angry gestures to him or don't try to make him realize by teasing or scolding. If you try to be humble and patient, he may understand his mistake on his own.
PARUL
yeah
Gaea
Hi everyone! So i'm gonna be a college freshman soon and i'm gonna major in Psychology😬 but lately i've been worrying about what job i'm gonna have after getting my Bachelor's degree. Any tips or advice?
I think minimum of a masters degree is needed in order to get a job once you do mphil and phd u gonna get licence to work as a clinical psychologist and a lot more options 😊best wishes
kitty
hi...my brother gets angry with me anytime I say no to him for anything he ask for and stop talking to me every time I only have to say sorry..so I decided this time not to say sorry he haven't talked to me at all what should I do please help me
Nush
I think it's just a matter of ego and pride.they may have a kind of feeling like if they apologize it hurts their integrity and pride. Some people never admit they are wrong and it creates stress in the other person. .some people are not empathetic and they always want to feel cared n lovedbyother
kitty
so what can we do..if you are a person who always says sorry it's a good indicator that you have such a broad mind where you are ready to solve problems n you love them even though they are bad at you..basically everyone in this whole world is selfish..humans are selfish but there are some people
kitty
like you whom God created just to solve problems and lead other people in a better way..what you should do is create a beautiful bonding bw your bro ask him softly about his problems..love him more..and eventually he may become softer and lovable
kitty
if your bro is an introvert there could be chances where he has got several problems he haven't discussed with anybody which brings out their egoistic behr and blunt nature...ask him to say about his problems..make him understand the importance of apologies and empathetic behr..and try not to end up
kitty
in a fight discussing these things...u should softly deal with it..even if other people let you down or didn't say sorry to you doesn't mean that you r wrong..u are saying sorry everytime because u have a good heart..
kitty
hope this helps🐒have a good day..good life!!😊
kitty
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