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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

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
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
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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