Hari ni merupakan kelas terakhir bersama En Azrul. Hari ni kami sambung tengok yang mana kawan-kawan tak buat presentation lagi. Lepas habis je presentation semua, kami ada sesi bergambar. Terima kasih banyak-banyak kepada En Azrul sebab ajar kami ilmu yang sangat bernilai.
Kami teruja juga tengok Second Life tu. Sebelum ni tak pernah tengok. Sekali lagi, ucapan terima kasih banyak kat En Azrul sebab tunjuk ajar yang diberikan.
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Labels
- ALGEBRA (2)
- ARITHMETICS (1)
- EXERCISE (1)
- GEOMETRY (1)
- MEASUREMENT (1)
- REFLEKSI (5)
- TRIGONOMETRY (1)
Friday, 22 June 2012
DAY 4
Hari ni kami kena bentangkan topik slide show kami di dalam kelas. Kami memilih tajuk Lines and Types of Angles. Bertungkus lumus juga buat slide show mengikut kriteria yang dikehendaki. Lebih kurang 7 kumpulan yang membuat pembentangan pada hari ni.
Selepas habis semua kumpulan, kami membetulkan semula mana yang rasa kurang. Selepas itu, barulah boleh kami hantar kepada En. Azrul.
Selepas habis semua kumpulan, kami membetulkan semula mana yang rasa kurang. Selepas itu, barulah boleh kami hantar kepada En. Azrul.
TRIGONOMETRY
TRIGONOMETRIC RATIOS
The sides of a right triangles are
name the opposite side, adjacent side and hypotenuse. The position of the opposite and adjacent
sides depends on the reference angle.
Hypotenuse : is the longest side of right angle triangles and always the side opposite to the right angle.
Similarly, the ratios can be defined for any angles.The sum of angles of any right triangle is 1800.
INVERSE TRIGONOMETRIC FUNCTIONS
The
expression
is
known as inverse trigonometric functions.
The
values of the sin inverse trigonometric functions can also be easily obtained
using scientific calculators.
Example: To evaluate inverse trigonometric functions
a) sin-1
0.3241 = 18.910
b)
cos-1 0.7582 = 40.690
SOLVING TRIGONOMETRY WORD PROBLEM.
MEASUREMENT
INTRODUCTION
Measurement is fundamental to most fields of science,
including physics, chemistry and biology. Measurement is also essential to a
diverse range of industries and commercial applications such as in engineering,
construction, automotive, mechatronics and electronics.
Measurement is the process of estimating the ratio of a
magnitude of a quantity to a unit of the same type. An example is 9 metres,
which is an estimate of an object's length relative to a unit of length, one
metre.
Units of measurement were among the earliest tools invented
by humans. Primitive societies needed rudimentary measures for many tasks such
as constructing dwellings of an appropriate size and shape, fashioning
clothing, or bartering food or raw materials.
In this unit, we will learn the two prevalent systems of unit
exists, that is, the British or Imperial system and SI or Metric system.
SYSTEM OF UNITS
There are 2 main system introduced:
1) British System
2) Metric System
BRITISH OR IMPERIAL SYSTEM
Length is the measurement between 2 point.
|
Imperial or British
System
|
|
1 mile =
1760 yards (yd)
|
|
1 yard (yd) = 3 feet (ft)
|
|
1 foot (ft) = 12 inches (in)
|
Mass is the measurement of amount of matter in an object.
|
Imperial or British
System
|
|
1
ton = 2000
pounds (lb)
|
|
1 pound (lb) = 16 ounces (oz)
|
Capacity is the measurement of space occupied by a liquid.
|
Imperial or British
System
|
|
1 gallon (gal) = 4 quarts
(qt)
|
|
1 quart (qt)
= 2 pints (pt)
|
Temperature is the measurement of the level of environment.
There are 2 units measure temperature, Celcius (C) and Fahrenheit (F).
|
Celsius(ºC) to Fahrenheit (ºF)
|
Fahrenheit (ºF) to Celsius (ºC)
|
|
ºF= (1.8 x ºC) + 32
|
ºC = (ºF - 32)/1.8
|
SI AND METRIC SYSTEM
Length
|
SI or Metric System
|
|
1 kilometre (km) =
1000 metres (m)
|
|
1 metre
(m) = 100 centimetres
(cm)
|
|
1 centimetre (cm) = 10
millmetres (mm)
|
Mass
|
SI or Metric System
|
|
1 tonne = 1000 kilogrammes (kg)
|
|
1 kilogramme (kg) = 1000 grammes (g)
|
|
1 gramme (g) = 1000 milligrammes (mg)
|
Capacity
|
SI or Metric System
|
|
1
pint = 0.473
litre
|
|
1 quart = 0.946 litre
|
Time is a measurement of interval between 2 events.
|
SI or Metric System
|
|
|
1 millennium = 1000 years
|
1 week = 7 days
|
|
1 century = 100 years
|
1 day = 24 hours (hr)
|
|
1
year = 12 months
|
1 hour = 60 minutes (min)
|
|
1 month = 4 weeks
|
1 minute = 60
seconds (sec)
|
PREFIXES IN SI UNITS
The metric system is system of measurement based upon the powers of ten. For
different types of measurements, a base unit is designated. For length, the
base unit is metres, for weight it is grammes, and
for capacity is litres.
For
each of these types of measurements, different sized units are designated by
adding a prefix to the base units.
For
example:
kilometre = 1000
metres
decimetre = 1/10
of a metre
centimetre = 1/100
of a metre
millimetre = 1/1000
of a metre
|
Prefix
|
Symbol
|
Factor
|
|
|
|
mega
|
M
|
1 000 000
|
= 10 6
|
(e+6)
|
|
Kilo
|
k
|
1 000
|
= 10 3
|
(e+3)
|
|
hecto
|
h
|
100
|
= 10 2
|
(e+2)
|
|
deca
|
da
|
10
|
= 10 1
|
(e+1)
|
|
|
|
1
|
|
|
|
deci
|
d
|
0.1
|
= 10 -1
|
(e-1)
|
|
centi
|
c
|
0.01
|
= 10 -2
|
(e-2)
|
|
mili
|
m
|
0.001
|
= 10 -3
|
(e-3)
|
|
micro
|
µ
|
0.000 001
|
= 10 -6
|
(e-6)
|
GEOMETRY
STRAIGHT LINES AND ANGLES
STRAIGHT LINES
A straight line is a line that joins two points with the shortest distance .
For example the line that joins point A to point B is called line AB
PARALLEL LINES
Parallel lines consist of two or more lines on a plane that are always the same distance apart and they never meet.
The symbol ‘ ¤¤ ’ is used to represent ‘ is parallel to ’.
PERPENDICULAR LINES
Perpendicular lines are two lines that are at right angles to each other.
The symbol ‘ ^ ’ is used to represent ‘ is perpendicular to ’.
For example ,
STRAIGHT LINES
A straight line is a line that joins two points with the shortest distance .
For example the line that joins point A to point B is called line AB
| STRAIGHT LINE. |
PARALLEL LINES
Parallel lines consist of two or more lines on a plane that are always the same distance apart and they never meet.
The symbol ‘ ¤¤ ’ is used to represent ‘ is parallel to ’.
For example,
C
|
D
|
M
|
N
|
O
|
P
|
PERPENDICULAR LINES
Perpendicular lines are two lines that are at right angles to each other.
The symbol ‘ ^ ’ is used to represent ‘ is perpendicular to ’.
For example ,
ANGLES
An angle
is formed when two straight lines meet at a point.
| THE STRUCTURE OF VERTEX. |
The symbol ‘ Ð ’ is
used to represent an angle.
The unit of measurement of an angle is degree ( °
) or radian.
Angles are named according to the names of the lines that
form the
angles .
TYPES
OF ANGLE
|
Angles are
classified according to their sizes.
Example :
Name
the following angles and state their characteristics
Size of angles
|
Name of angles
|
Characteristics
|
148°
|
||
56°
|
||
214°
|
||
90°
|
Solution :
Size of angles
|
Name of angles
|
Characteristics
|
148°
|
Obtuse angle
|
An
obtuse angle is greater than 90°
but less than 180°.
|
56°
|
Acute angle
|
Acute
angle is greater than 0° but less that 90°.
|
214°
|
Reflex angle
|
A
reflex angle is greater than 180° but less than 360°.
|
90°
|
Right angle
|
A
right angle = 90°.
|
PROPERTIES OF ANGLES
|
The sum of angles on straight line is 180 |
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