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erimeter
1. Square
2. Rectangle
1. P = 4a
2. P = 2(l+b)
Circumference
1. Circle
1. C = 2 (pi) r
Area
1. Square
2. Rectangle
3. Triangle
4. Trapezoid
5. Circle
1. A = a
2
2. A = l x b
3. A = ½(b x h)
4. A = ((b
1
+b
2
) x h) / 2
5. A = π x r
2
Surface Area
1. Cube
2. Cylinder
3. Cone
4. Sphere
1. S = 6l
2
2. CSA = 2 x π x r x h
3. CSA = π x r x l
4. S = 4 x π x r
2
Volume
1. Cylinder
2. Cone
3. Sphere
1. V = πr
2
h
2. V =1/3 πr
2
h
3. V = 4/3 x π x r
3
Pythagoras
Theorem
a
2
+ b
2
= c
2
Distance Formula
d = √[(x
2
– x
1
)
2
+(y
2
– y
1
)
2
]
Slope of a line
m = y
2
– y
1
/ x
2
– x
1
Mid- Point
Formula
M = [(x
1
+ x
2
)/ 2 , (y
1
+ y
2
)/ 2]
Algebraic Formula
1. Pythagorean theorem
2. Slope-intercept form of the
equation of a line
3. Distance formula
4. Total cost
5. Quadratic formula
6. Laws of Exponents
7. Fractional Exponents
1. a
2
+ b
2
= c
2
2. y = mx + c
3. d = rt
4. total cost = (number of units)
× (price per unit)
5. X = [-b ± √(b
2
– 4ac)] /2a
6. a
m
x b
m
= (a x b)
m
; a
m
x a
n
=
(a)
m+n
7. a
1/2
= √a
Trigonometric
Formulas
1. Sine Function
2. Cosine Function
3. Tangent Function
1. Sin x = Opposite Side/
Hypotenuse
2. Cos X = Adjacent Side/
Hypotenuse
3. Tan x = Opposite Side/
Adjacent Side
What are the basic Maths formulas?
The basic Maths formulas include arithmetic operations, where we learn to add, subtract, multiply
and divide. Also, algebraic identities help to solve equations. Some of the formulas are:
(a + b)
2
= a
2
+ b
2
+ 2ab
(a – b)
2
= a
2
+ b
2
– 2ab
a
2
– b
2
= (a + b) (a – b)
What are the fundamental topics for formulas in Maths?
The fundamental concepts we learn for maths formulas are:
Area and perimeter of shapes
Surface areas and Volumes
Algebra
Powers and exponents
Fractions
Percentage, etc.
What are the important Maths formulas?
The important formulas are related to algebra, Pythagoras theorem, series and sequence,
mensuration, calculus, probability and statistics, trigonometry, matrices, etc.
What are the area and perimeter formula?
The area of a shape defines the region covered by it whereas perimeter gives the total length of the
outer boundary of the shape. Area is measure in square units but the perimeter is denoted by the unit
of the dimension. Suppose, the formula for the area of a square is side
2
squnits. and perimeter of a
square is 4(side) units.
What is a
3
– b
3
formula?
The formula for a
3
– b
3
is given by:
a
3
– b
3
= (a – b) (a
2
+ ab + b
2
)
Answer the Questions.
QUESTIONS
1
What forms of formula do you know?
2
What are they?
3
Can you distinguish them each other?
4
What is perimeter formula?
The method of “Zig-zug”
Students must write all words according to the theme in different figures. The students
translate the words and make up sentences.
Control work. Consolidation
(Nazorat ishi. Mustahkamlash)
Working on the text
Text: “ PERSONAL BACKGROUND”
(Alfred Nobel)
This article needs additional citations for verification.please help improve this
article by adding reliable references. Unsourced material may be chalanged and
removed.(November 2010)
Alfred Nabel was the third son of Immanuel Nobel (1801-1872)and Andriette
Ahlsell(1805-1889).Born in Stockholm on October 1883, he went with his family to
Saint Peterburg in 1842,where his father (who had invented modern plywood)
started a “torpedo”works. Alfred studied chemistry with professor Nikolay
Nikolaevich Zinin. When Alfred was 19 he went to the United States to study
chemistry for four years and worked for a shot period under John Ericson, who
designed the American Civil War ironclad USS Monitor. In 1859,the factory was
left to the care of the second son,Ludvig Nobel (1831-1888),who greatly improved
the business. Alfred returning to Sweden with father bankruptcy of their family
business, devoted himself to the study of explosives, and especially to the safe
manufacture and use of nitroglycerine (discovered in1847by Ascanio Sobrero, one
of his fellow students under Theophile-jules Pelouze at the university of
Torino).Abig explosion occurred on the 3 September 1864 at their factory in
Math formula
Heleneborg inStockholmkilling five people. Among them was Alfred’s younger
brother Emil.Though Nobel remained unmarried, his biographers note that he had at
least three loves. Nobel’s first love was in Russia with a girl named Alexandra, who
rejected his proposal. In 1876 Austro- Buhermian Countress Bertha Kinsky became
Alfred’s secretary. But after only a breaf stae she left him to marry her previous
lover, Baron Arthur Gundaccar von Suttner. Though her personal contact with
Alfred Nobel had been brief,she corresponded with him until his death in 1896,and
it is believed that she was a major influencein his decision to include a peace prize
among those prizes provided in his will. Baron Arthur Gundaccar von Suttner was
awarded in 1905 Nobel Peace Prize, for her sincere piece activities.Nobel’s third and
long –lasting love was with a flower girl named Sofie hess from Vienna.This liaison
lasted for 18 years and in many of the exchanged letters, Nobel addressed his love
as “Madame Sofie Nobel”.After his deth, according to his biographers –Evlanoff
and Fluor, and –Nobel’s letters were locked within the Nobel Institude in Stockholm
and became the best kept secret of the time. They were releasedonly in 1955, to be
included with the biographicaldata of Nobel.
Answer the Questions.
QUESTIONS
1
What about is this article?
2
What was Alfre Nobel?
3
When and where was he born?
4
What do know about his creative activity?
Warm up activity “Yes or no”
Work on warm-up activity.
Draw
different figures and write some words or numbers
according to them inside these figures. Others must ask him in general questions and find their
meanings. Student answers only “Yes” or “No”.
Questions
:
–Doyou know about Nobel Prize?
–Did he know chemistry well?
-Is this article about Nobel’ background?
-… …. ….. ….. …. …. …. … … .. …..?
Work on Cluster.
During filling the cluster students must write all words according to the text in different
figures. They do not discuss the words which they write in the cluster.
Working on the text
verificati
on
Nobel
Prize
period
backgrou
nd
chemistr
y
Personal
backgrou
nd
Read, translate and retell. English in topics, From Internet.
“True or False”
Write
“T”
for true and
“F”
for False. Correct the false sentences.
1.---- Alfred Nobel was the third son in his family.
2----He was born in Saint Peterburg.
3----Alfred studied chemistry with Professor Zinin.
4---- …. …. … … … … … … .. …….. ….. …..
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