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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

where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
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 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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