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Mathematics

Space and shape

Educator section

Memorandum

  • (a) acute

(b) right

(c) obtuse

(d) straight

(e) reflex

(f) revolution

9.2

(a) 37°

(b) 128°

(c) 60°

(d) 90°

(e) 120°

(f) 87°

  • (a) equal in size

(b) The length of the lines has nothing to do with the size of the angles

.

  • NE : 048°

E : 090°

SE : 133°

S : 180°

12.3 C : 125° F : 070°

E : 250° K : 295°

W : 190°

12.4

Leaner section

Content

Activity: angels [lo 4.8, lo 4.9, lo 3.8]

9. LET US REVISE

When lines are joined, angles are formed.

9.1 Work in groups of three. See which group can state the kind of angle in each diagram!

.2 Estimate the sizes of the following angles. Then measure them carefully with your protractor and complete the table.

º

Angle Estimated Measured
a) 1 _____________ _____________
b) 2 _____________ _____________
c) 3 _____________ _____________
d) 4 _____________ _____________
e) 5 _____________ _____________
f) 6 _____________ _____________

9.3 Draw the following angles with the help of your protractor:

a) 49°

b) 97°

c) 196°

d) 216°

9.4 BRAIN-TEASER!

a) Which angle is the larger: a or b?

b)

_____________________________________________________________________

b) What have you realised? ___________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

9.5 REMEMBER!

The size of an angle is determined by the amount of rotation there is around the fulcrum.

λ POINT
A number of points together form a
LINE
Lines segments joined give
ANGLES
Angles joined together form
FIGURES

11. BRAIN-TEASER!

What is the smallest number of straight lines that can be used to join the dots below WITHOUT lifting up your pencil?

(Can you do it with three lines?)

12. ANGLES AND NAVIGATION

12.1 Did you know?

In navigation and aviation, direction is always determined in terms of the angle which is made by the route (clockwise) with the north line.

i.e. we measure in degrees, the amount of turning from north.

Line to the route in a clockwise direction.

The north line is 0˚.

A bearing is always indicated with three digits. A bearing of 26˚ is written as 026˚.

12.2 Look carefully at this magnetic compass. A compass needle always points to north. Now write down the following directions in degrees.

NE : ____________________

E : ____________________

SE : ____________________

S : ____________________

12.3 Study this radar screen which can be found on a boat. Write the direction of the following boats in degrees:

C : ____________________

E : ____________________

F : ____________________

K : ____________________

W : ____________________

Assessment

Learning Outcome 4: The learner will be able to use appropriate measuring units, instruments and formulae in a variety of contexts.

Assessment Standard 4.8: We know this when the learner classifies angles into acute, right, obtuse, straight, reflex or revolution;

Assessment Standard 4.9: We know this when the learner estimates, compares, measures and draws angles accurate to one degree using protractors.

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 3.8: We know this when the learner locates positions on co-ordinate systems (ordered grids) and maps.

Questions & Answers

what is the stm
Brian Reply
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?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
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
what is Nano technology ?
Bob Reply
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?
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
How can I make nanorobot?
Lily
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
how can I make nanorobot?
Lily
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
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Beverly Reply
in a comparison of the stages of meiosis to the stage of mitosis, which stages are unique to meiosis and which stages have the same event in botg meiosis and mitosis
Leah Reply
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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