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Mathematics

Geometry

Educator section

Memorandum

1.

1.1 Equally from centre

2.

2.1 180

2.2 1

2.3 360

Leaner section

Content

Activity: to investigate and compare 2-dimensional figures [lo 3.3.3]

Looking at circles:

1. Have a good look at the sketch and then answer the questions:

RQ = Diameter

SP = Radius

1.1 What is a circle?

_____________________________________________________________________

1.2 Where do we come across circles in our daily lives?

_____________________________________________________________________

_____________________________________________________________________

2. Answer the following questions:

2.1 How many diameters could a circle have? _____________________________

2.2 How many centre points could a circle have? __________________________

2.3 How many radii could a circle have? ________________________________

3. Use a pair of compasses and draw a circle with a:

3.1 radius of 30 mm:

3.2 diameter of 80 mm:

DID YOU KNOW?

We can draw lovely patterns based on circles! The pattern shown

below is known as a paisley design and is used on cloth or clothing.

4. Can you find out how the pattern is created? Try to do it yourself!

5. Follow the steps and use this method for drawing the patterns that follow. Your educator will provide the paper that you need.

Draw a circle Use the same radius for marking the circumference Connect the points (if necessary)

Draw a circle

Use the same radius for marking the circumference

Connect the points (if necessary)

5.1

5.2

5.3

5.4

6. Design your own pattern with circles. Colour it neatly:

Time for self-assessment

It is important to know how well you understand the work that we have done up to now. Read the following criteria. Evaluate yourself on a scale ranging from 1 to 4 by circling the appropriate number.

Criteria 1 = Not at all.2 = Just a little.3 = Well.4 = Very well.
I can explain the term "parallel". 1 2 3 4
I can explain the difference between a line and a line segment. 1 2 3 4
I can explain the following concepts:
* acute angle; 1 2 3 4
* obtuse angle; 1 2 3 4
* right angle. 1 2 3 4
I can use a protractor to:
* measure angles accurately; 1 2 3 4
* draw angles accurately. 1 2 3 4
I can name the similarities between a rectangle and a parallelogram 1 2 3 4
I can name the differences between a rectangle and a parallelogram. 1 2 3 4
I can explain the concept "symmetrical". 1 2 3 4
I can explain the concept "rotational symmetry". 1 2 3 4
I can explain the following concepts:
* radius; 1 2 3 4
* diameter. 1 2 3 4
I could enlarge and reduce the figures. 1 2 3 4
I can use circles to draw patterns. 1 2 3 4

Let's look at 3-dimensional figures.

You probably quite often play games that require a die. See if you can make one yourself. Trace the outlines of the following net exactly. Cut it out neatly and fold it to form a die. Then write the numbers 1 to 6 on the sides. Remember that the numbers of the following number pairs (1,6), (3,4) and (2,5) must be on opposite sides.

DID YOU KNOW?

The die that you have just made is an example of a cube.

Take a good look at the following:

Assessment

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.3: We know this when the learner investigates and compares (alone or as a member of a group or team) two-dimensional shapes and three-dimensional objects studied in this grade according to properties listed above by:

3.3.3: using a pair of compasses to draw circles, patterns in circles, and patterns with circles.

Questions & Answers

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
Do somebody tell me a best nano engineering book for beginners?
s. Reply
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
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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
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.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 6. OpenStax CNX. Sep 10, 2009 Download for free at http://cnx.org/content/col11030/1.1
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