3.1 Recognise and classify ordinary fractions  (Page 2/2)

 Page 2 / 2
 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) $\frac{7}{8}$

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!