# 2.28 To recognise equivalent forms of numbers to recognise equivalent

 Page 1 / 1

## 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 $\frac{2}{3}$

1.2 $\frac{\text{13}}{\text{20}}$

1.3 $\frac{5}{8}$

1.4 $\frac{2}{3}$

## Activity: to recognise equivalent forms of numbers to recognise equivalent forms of numbers [lo 1.5.1]

If you know how to simplify and to apply it correctly, you will soon realise that it is a helpful aid when calculating with fractions. It can help you multiply, divide, add and subtract more easily (and quickly). You will also find it easier to fill in relationship signs. Let’s have a look at how you manage.

1. Simplify the following:

1.1 $\frac{\text{10}}{\text{15}}$

1.2 $\frac{\text{26}}{\text{40}}$

1.3 $\frac{\text{45}}{\text{72}}$

1.4 $\frac{\text{42}}{\text{63}}$

2. LET'S PLAY A GAME!

You'll need a partner and two dice.

• Roll both dice and write the numbers that are on top as a proper fraction.
• Simplify the fraction, if this is possible.
• Your friend has to do the same.
• Decide whose fraction is larger.
• The one with the larger fraction claims 2 points.
• The winner is the one who gains the most points!

## Do you remember this?

When we wish to do addition with fractions, the denominators have to be made similar.

Eg. $\frac{1}{3}$ + $\frac{3}{6}$

$\frac{1}{3}$ = $\frac{2}{6}$

$\left(\frac{2}{6}\right)$ $\frac{1}{3}$ + $\frac{3}{6}$ = $\frac{5}{6}$

What you know about determining equivalent fractions will be useful when you do this.

## Note the following!

When the sum of two fractions is calculated, only the numerators are added together. The denominator is retained as it is.

## Also remember!

If the answer is an improper fraction, you have to convert it to a mixed number.

## Assessment

Learning Outcome 1: Die leerder is in staat om getalle en die verwantskappe daarvan te herken, te beskryf en voor te stel, en om tydens probleemoplossing bevoeg en met selfvertroue te tel, te skat, te bereken en te kontroleer.

Assessment Standard 1.5: We know this when the learner recognises and uses equivalent forms of the numbers listed above, including:

1.5.1 common fractions with 1-digit or 2-digit denominators.

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
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
Sahil
how nano science is used for hydrophobicity
Santosh
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
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
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
hi
Loga
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
Got questions? Join the online conversation and get instant answers! By By Ellie Banfield By OpenStax By Tod McGrath By Stephen Voron By Szilárd Jankó By OpenStax By Savannah Parrish By OpenStax By Brooke Delaney