# 1.9 Multiples  (Page 3/4)

 Page 3 / 4

Remember, if you prefer not to do solution directly after the completion, you are free to alter the sequence of the work sheets to suit yourself.

(i) Various triangles: the isosceles; equilateral and rectangular and any other types of triangle.

(ii) Various rectangles and squares.

(iii) Protractors and rulers, enough for everyone in the group.

First establish what the learners already know about the sides and angles of triangles, rectangles and squares.

Measuring angles :

Explain what a right angle is (angle equal to 90°) if they do not know it. Show the learners the protractor and how to measure an angle with it. Make sure that they know exactly how to measure angles.

Let them measure the angles of the various forms on the mat. They must say what they have discovered about the angles of the triangles, rectangles and squares.

All the angles of the rectangles and the squares are right angles . Give them the opportunity to discover other right angles in the classroom.

Have they discovered that a triangle never has more than one right angle? A triangle with a right angle is called a rectangular triangle .

Measuring sides:

Give the learners rulers to measure the sides. Make very sure that all the learners know how to measure using a ruler.

They must discover their own:

There are triangles of which the 3 sides are of the same length. That is an equilateral triangle.

There are triangles of which 2 sides are the same length. That is an isosceles triangle.

There are triangles of which the sides are all different.

The 4 sides of a square are of equal length.

The 2 opposite sides of a rectangle are the same length.

This work will probably not all be done in one mat session, and the time needed will vary depending on the group involved. It is advisable to complete measuring angles in one session and measuring sides in another.

If the learners have already mastered halving of unequal numbers, it is only necessary to explain how to write ½ That means 1 of the 2 parts into which it has been divided:

 1 is numerator 2 is denominator

This is about halving 3,5,7 or 9 groups of ten. There is always 1 ten that must be solved. Encourage the learners to regroup before they halve. They must first do it concretely on the mat.

Every time the numbers 6 to 9 are doubled, a ten is completed.

The learners must indicate it on the work sheet by drawing a circle around the ten.

If there is no calculator available, the educator or one of the learners can write the answers on the blackboard after completing the work sheet. However, the learners who are able to do the calculations on their own, must be allowed to do it.

Encourage the learners to persevere until they find the right “path”. They may require an extra sheet of paper on which to write the numbers while trying to find the correct ones.7

## Activity: multiples [lo 1.1, lo 1.6, lo 1.8, lo 1.9, lo 1.10]

• Multiples: Count up to the 10th multiple and back.

Bonny and Tommy used the above chart to count in multiples of 2, 3, 4, 5 and 10. Use it to complete the worksheet.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
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?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
Got questions? Join the online conversation and get instant answers!
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Source:  OpenStax, Mathematics grade 3. OpenStax CNX. Oct 14, 2009 Download for free at http://cnx.org/content/col11128/1.1
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