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View Evaluation Pattern of Maths V to XII
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Subject : Maths
STD: V
I TERM |
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OBJECTIVES:1)To learn operations on large numbers.,2) to
list the multiples and factors of given numbers and also to find the H.C.F& L.C.M of given numbers,3)Addition,subtraction,multiplication of
fractions, 4)To observe different bills & understand how to prepare
bills.5)to understand the decimal part and whole number part of a
decimal number,6) to able to calculate the average of given numbers. |
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MONTH |
TOPICS |
ACTIVITY |
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APRIL |
Numbers upto 99,99,999 |
To represent the salaries of VIPs of the world in Indian
and International Place value chart. Source -NIE,Times of India
Newspaper |
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APRIL/JUNE |
Operations on large numbers
Addition and Subtraction of large numbers
Word problems
Multiplication and Division of large numbers
Word problems
Operations on Large Numbers |
1. Cross word Puzzle
Take a squared paper, containing 16 sqs. Shade the squares as indicated
below.
Ask the students to fill in the squares indicated by the heading A, B,
C, row wise or column wise as instructed, filling one number in each
square.
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JUNE /JULY |
1) Factors and Multiples |
To colour the factors and circle the multiples of numbers
on factor board game |
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To verify experimentally a number is composite or prime
number. |
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JULY |
Fractional Numbers
Addition, Subtraction
Multiplication,
Division of fractional numbers
Word problems
Reciprocal fraction
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To collect the data about total number of girls and boys
of class V and express them as fractions & convert the fraction in the
lowest term. To add the like
fractions experimentally. To find the
multiplication of fractions experimentally, using white paper, sketch
pens, scissors etc.
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JULY |
Bills |
Collecting of at least 2 different bills ( electricity
bill, grocery bill) ,observe and paste them in the activity book. |
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AUGUST |
Decimals |
Introduction of the lesson representing a decimal Number
on an abacus |
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AUGUST |
Averages |
1.Collect data of the weight of 10 of your class mates
and find the average weight. ( in maths lab) |
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II TERM |
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OBJECTIVES:1)To know about multiplication and division of
decimal numbers,2)to apply DMAS rule and simplify the numerical
expressions,3) to convert the temperature into other scale,4) to know
more about the triangles and their properties., 5)to able to find out
the percentage of given numbers, 6) to understand how to calculate the
simple interest and know about the concept of amount,7) to understand
how to round off the numbers. |
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MONTH |
TOPICS |
ACTIVITY |
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AUGUST |
Addition and Subtraction of Decimals - addition,
subtraction, word problems |
1. Activity given in the form of worksheet |
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OCTOBER |
Multiplication and Division of Decimals multiplication,
division, properties , word problems |
To find the multiplication of decimals experimentally
using squared sheet of paper and sketch pens. (Refer page 25 of math in
lab) |
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OCTOBER |
Simplification of numerical expressions
Application of DMAS
Simplification of numerical expressions
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1. Introduction of chapter by giving example of order of
operation in the following case study :
Ajit has 3 packets each containing 4 marbles. His friend gives him 1
marble. Simplification of numerical expressions
Application of DMAS
Simplification of numerical expressions Find out the ratio of the
number of holidays to the number of working days in October . |
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NOVEMBER |
Temperature
Thermometers and scales
Conversions to other scale |
1. Introduction by showing thermometers.
2.From the newspaper find out the maximum and minimum temperature of the
day and change it into other scale. |
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NOVEMBER |
Triangles
Properties of Triangles
Classification of Triangles
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1. To verify experimentally that the sum of the angles of
a triangle is 180° using thick sheet of paper, scissors, sketch pens
etc.
2. To show that the sum of two sides of a triangle is greater than the
third side using plain sheet of paper, scale, pencil, sketch pens etc. |
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DECEMBER |
Profit and Loss
Concept of CP,SP, profit, loss
Calculating profit and loss
Determining SP,
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1. Enacting a scene from a whole sale market depicting
a buyer, seller, transporter etc. The students also get fake money
notes and some articles for selling, buying etc. The students will note
the profit, loss or no profit , no loss in different cases in the
activity book.
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DECEMBER/
JANUARY |
`Percentage
- Conversions
- Finding a percent of a number.
- Word Problems.
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1. Introduction : The children are given 10 beads of 4
diiferent colours. They will find the percentage of red, blue, yellow,
green etc.
2. What percent is shaded and unshaded in the following figure?
1. Shaded = _____
2. Unshaded =____
3. Shade 27 % in the following figure?
4 . From newspapers and magazines, cut out any advertisements where
percentages appear and paste in activity book.
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JANUARY |
Simple Interest
-Calculating S.I.
-Concept of Amount |
1. Introduction to the chapter by
comparing money in a piggy bank and money in a Savings Bank Account in a
bank.
2. The students will find out the interest on the following question :
( refer to excel with mathematics laboratory manual by Dr.S.K. Mahajan)
A money lender gives following amount on loan to different clients.
Find his total earnings in the form of interest. |
JANUARY/
FEBRUARY |
Rounding Numbers
-Rounding of whole and Decimal Numbers. |
1.Introduction of the chapter by
means of a story. For eg: Once in a village there lived 2, 56, 788
people. An earthquake took place and many of them ran for their lives.
When reciting the facts, what number will you first approximate the
number as , you would describe as around 2,50,000. This is known as
rounding of a number . |
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Reference Books :1)
Mathematics as per N.C.E.R. T New syllabus |
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2) Composite Mathematics |
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3) Core Mathematic Holyfaith |
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4) Mathematics by R.S Aggarwal |
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5) Maths Ahead 6 by Orient
Longman |
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Subject : Maths
STD: VI |
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I TERM |
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OBJECTIVES:1)To know more about natural and whole numbers,2) to find the
H.C.F& L.C.M of given numbers,3)Addition,subtraction,multiplication of
integers, 4)whether a given pair of angles are supplementary or
complementary ,5)exterior and interior of a triangle, 6) distance
between two parallel lines is same everywhere and 7) to construct a line
segment by using compass and a scale.
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MONTH |
TOPICS |
ACTIVITY |
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APRIL |
1) Natural numbers and Whole numbers |
DISTRIBUTION OF MULTIPLICATION OVER ADDITION:
Take a graph paper of size 6 cm by 8 cm having squares of size 1
cm X 1 cm. How many squares do you have in all ?Is the number
equal to 6 X 8 ? Now cut the sheet into 2 pieces of sizes 6 cm
by 5 cm and 6 cm by 3 cm .Is the number 6 X 5 ? Is the number 6
X 3? |
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2) Basic Geometrical concepts |
To verify experimentally that : |
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a) Many lines can be drawn through a given points |
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b) Only one line can be drawn through 2 given points. activity
text book) |
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JUNE |
1) Factors and Multiples |
To verify experimentally that the prime factorization of number
is unique (4) |
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To find prime numbers from 1 to 100 by Eratosthenes Sieve's
method ( activity text book.) |
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To find the H.C.F. and L.C.M of given numbers experimentally .
( Activity Book ) |
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JULY |
2) Line segment |
Construction of line segments. |
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1) Integers |
To understand the concept of addition of integers
experimentally. |
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AUGUST |
1) Triangles |
1) To verify experimentally that the sum of three angles of a
triangle is 180Ί. |
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2) Angles |
To verify whether a given pair of angles are supplementary. |
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3)Pairs of Lines and Transversal |
To verify experimentally that the distance between two parallel
lines is same everywhere |
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II TERM |
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OBJECTIVES:1)To know about ratio, proportion and unitary
method,2)algebraic expression and operations on algebraic expressions,3)
to solve and check linear equation,4) to construct a circle using
compass and scale, 5)to represent a given data by using a bar graph,
tally mark and pictograph.
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MONTH |
TOPICS |
ACTIVITY |
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OCT |
1) Ratio, Proportion and unitary method |
Find out the ratio of the number of holidays to
the number of working days in October . |
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OCT |
2) Circles |
To find the circumference of any circular object. |
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NOV |
1) Introduction to Algebra |
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DEC |
2) Linear Equations |
To solve a linear equation is one variable |
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DEC/JAN |
1) Percentage and its Applications |
To compare a given data by using percentage |
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2)Constructions |
To construct angles and perpendicular bisector
with compasses and ruler |
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3)Perimeter and Area |
Paper activity to derive the formula of perimeter |
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JANUARY/FEB |
1) Statistics |
To compare a given data by using percentage and
hence transform the numerical data into a visual data |
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Reference Books :1)
Mathematics as per N.C.E.R. T New syllabus |
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2) Composite Mathematics |
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3) Core Mathematic Holyfaith |
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4) Mathematics by R.S Aggarwal |
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5) Maths Ahead 6 by Orient
Longman |
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STD : VII |
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OBJECTIVES: |
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1.To know about rational numbers and their operations. |
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2. To understand exponents and their powers |
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3.To be able to construct triangles |
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4. To be able to classify triangles according to their properties. |
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To classify data and calculate mean, median and mode |
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MONTHS |
TOPIC |
ACTIVITY |
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I TERM |
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APRIL |
RATIONAL NUMBERS |
To draw a number line and represent rational numbers on a number line
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OPERATIONS ON RATIONAL NUMBERS
ADDITION |
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JUNE |
OPERATIONS ON RATIONAL NUMBERS
SUB, DIV, MULTIPLICATION |
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JUNE/JULY |
RATIONAL NO AS DECIMALS |
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JULY |
EXPONENTS AND POWERS |
To verify the law of exponents experimentally
when the base is same |
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AUG |
PERCENTAGES |
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II TERM |
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OCT |
SYMETTRY(5) ,CONSTRUCTIONS OF TRIANGLES (10 MARKS IN II TERM) |
To create symmetrical figures
( page 242 of text book),
To construct different types of triangles |
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OCT |
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NOV |
1) ALGEBRAIC EXPRESSIONS (12)
2) LINEAR EQUATIONS (14) |
Children form problems and
formulate an equation |
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NOV/DEC |
1)TRIANGLE AND ITS PROPERTIES (10)
2)CONGRUENT TRIANGLES (15) |
To locate the circumcentre by
construction ( refer page 160 of text book) |
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DEC/JAN |
DATA HANDLING |
To plot graphs and interpret a graph |
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VISUALIZING SOLIDS |
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AREA OF A CIRCLE |
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Subject : Maths
STD: VIII |
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I TERM |
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OBJECTIVES: 1) To enhance the thinking ability of
the students. |
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2) To acquire the ability to apply the mathematical
terms |
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3) To acquire the skill of plotting graph |
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4)To acquire the skill of data interpretation through
statistics. |
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5) application of mental ability in day to day life. |
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MONTH |
TOPICS |
ACTIVITY |
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APRIL |
SQUARE AND SQUARE ROOTS |
TO VERIFY PYTHAGOREAN TRIPLET |
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CUBE AND CUBE ROOTS |
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JUNE |
DIRECT AND INVERSE VARIATIONS |
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PROFIT AND LOSS AND DISCOUNT |
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JULY |
ALGEBRAIC IDENTITIES |
VERIFICATION OF IDENTITY |
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PARALLEL LINES |
VERIFY MIDPOINT THEOREM |
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AUGUST |
INTRODUCTION TO GRAPH |
PLOTTING POINTS ON GRAPH |
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STATISTICS AND PROBABILITY |
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II TERM |
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MONTH |
TOPICS |
ACTIVITY |
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SEPT |
EXPONENTS AND RADICALS |
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COMPOUND INTEREST |
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NOV |
POLYNOMIALS |
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LINEAR EQUATIONS IN ONE VARIABLE |
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DEC |
UNDERSTANDING THE QUADRILATERALS |
TO VERIFY THE PROPERTIES OF ALL TYPES OF QUADRILATERAL BY
PAPER FOLDING |
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CONSTRUCTION OF QUADRILATERALS |
OPPOSITE ANGELS OF CYCLIC QUADRILATERAL ARE SUPPLEMENTARY |
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JAN |
MENSURATION |
TO DERIVE FORMULAE FR AREA AND VOLUME OF CYLINDER AND
CONE |
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ROTATIONAL SYMMETRY |
PAPER ACTIVITY TO VERIFY ROTATIONAL SYMMETRY |
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FEB |
REVISION |
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Reference Books :1) Mathematics as per N.C.E.R. T New
syllabus |
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2) Composite Mathematics |
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3) Core Mathematic Holyfaith |
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4) Mathematics by R.D. Sharma |
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5) Together with maths |
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Std -IX Sub- Mathematics |
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Objectives - |
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1) To get a Very thorough knowledge and indepth understanding of every
topic |
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2) To relate the application of the topics in other subjects and day to
day life. |
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I Term |
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Month |
Topic |
Activity |
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April |
Real Numbers
Polynomials |
Square root of rational number
Factorise a polynomial with the help of graph |
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June |
Euclid Geometry
Lines and angles |
Sum of angles of a ∆ is 180Ί |
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July |
Triangles
Co-ordinate geometry
Heron' s formula |
. Mid point theorem
. Plotting points on Cartesian plane
4 |
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August |
Linear equation in two variables
Quadrilateral
Circles |
1.Side and diagonal property of a
parallelogram
2. Quadrilateral formed by joining the mid points of a quadrilateral
forms a parallelogram
3. Angle made at the center of a circle is twice angle subtended at the
alternate segment |
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September |
SA 1 |
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II Term |
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October |
Circles (contd) Construction |
Opposite angles of a cyclic quadrilateral are supplementary |
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November |
Area of Triangles and parallelogram |
Parallelogram on same base and and between same parallels are equal in
area |
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December |
Surface area and volume |
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January |
Statistics and probability |
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Std -X Sub- Mathematics |
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Objectives - |
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1) To get a thorough knowledge of the subject. |
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2) To know the applications of the topics in other fields
, day to day life |
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Month |
Topic |
Activity |
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April |
Real numbers
Linear Equation in two variables |
To Frame a pair of equations which are Inconsistent /
Consistent and check the same graphically. |
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June |
Polynomials
Triangles |
Activity on basic proportionality theorem
Activity on Pythagoras Theorem
Activity are areas of similar Triangle |
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July |
Trigonometry Ratios and Identities |
Derivation of Trigonometric ratios for angles 0°
to 90° |
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Aug |
Statistics |
Cumulative frequency curve |
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Oct |
Quadratic equation
Arithmetic progression |
Sum of n natural numbers
sum of n terms of A. P.
Sum of odd members |
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Nov |
Circles
Constructions
Height and distances |
Tangents from are external
point are equal
Areas of sector formed at vertices of triangle
Clinometers
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Dec |
Co-ordinate - Geometry
Probability |
Dice activity |
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Jan |
Area related to circles Surface area
and Volume |
Area of sector , Surface area of cone , Volume of
cylinder and cone , comparison of volume of cylinder ,cone and sphere |
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GENERAL OBJECTIVES: |
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1] To acquire knowledge and critical understanding particularly by way
of visualization of basic concepts, terms, |
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principles, symbols and skills. |
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2] To apply the knowledge and skills acquired to solve problems and
wherever possible by more than one method. |
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3] To develop positive attitude to think, analyse and articulate
logically. |
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4] To acquaint students with different aspects of mathematics used in
daily life. |
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5] To develop interest in the subject by participating in related
competition. |
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MONTH |
TOPIC/UNIT |
ACTIVITY |
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JUNE |
* SETS |
-Differentiate sets from collection |
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JULY |
* RELATIONS AND FUNCTIONS
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-Identify functions from a set of relations |
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*TRIGONOMETRIC FUNCTIONS |
Derive trigonometric identities |
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AUGUST |
*MATHEMATICAL INDUCTION |
-Identify steps of induction |
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* COMPLEX NUMBERS |
Argand plane |
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* LINEAR EQUALITIES |
-Plot graph and identify region |
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SEPT |
Revision and Term Test |
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OCT |
* PERMUTATIONS AND COMBINATIONS |
Doing practical problems |
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* BINOMIAL THEOREM |
Pascals triangle and binomial coefficients |
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OCT |
* SEQUENCES AND SERIES |
-differentiate A.P and G.P |
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SPECIFIC OBJECTIVES: |
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1To know about sets & differentiate sets from collection |
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2To know about functions and identify functions from a set of
relation. |
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3To study linear inequalities,plot graph and identify region. |
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4To apply the concept of Permutation and combination to practical
problems. |
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5 To learn about AP , GP,conics and identify. |
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6.To locate a point in space and find distance between two points in
space. |
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II TERM(XI) |
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MONTH |
TOPIC/UNIT |
ACTIVITY |
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NOV |
* STRAIGHT LINES |
-list different equations of straight lines |
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* CONIC SECTION |
conic section models |
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DEC |
*INTRODUCTION TO THREE DIMENSIONAL GEOMETRY |
-introducing three coordinate axis ,understand 3D figures |
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* LIMITS AND DERIVATIVES |
-introducing limits through graphical method |
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JAN |
*MATHEMATICAL REASONING |
-identifying statements |
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* STATISTICS |
-problem solving |
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* PROBABILITY |
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PRESCRIBED TEXT : NCERT TEXT BOOK |
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REFERNCE BOOKS : MATHEMATICS XI BY R.D SHARMA |
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QUESTION
BANK XI BY MANOJ DUBEY |
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DINESH
KHATTAR , |
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QUESTION
BANK TATA McGraw HILL |
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SUB:MATHEMATICS CLASS: XII |
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GENERAL OBJECTIVES: |
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1] To acquire knowledge and critical understanding particularly by way
of visualization of basic concepts, terms, |
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principles, symbols and skills. |
|
|
2] To apply the knowledge and skills acquired to solve problems and
wherever possible by more than one method. |
|
3] To develop positive attitude to think, analyses and articulate
logically. |
|
|
4] To acquaint students with different aspects of mathematics used in
daily life. |
|
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5] To develop interest in the subject by participating in related
competition. |
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I TERM |
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MONTH |
TOPIC/UNIT |
ACTIVITY |
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April |
* Relations and functions |
-Identifying reflexive, symmetric and transitive relation from a set of
given relations |
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* Inverse trigonometric functions |
- showing graphs of inverse trigonometric functions |
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June |
*Matrices |
-Matrix operations-addition, subtraction multiplication |
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*Determinants |
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July |
*Continuity and differentiability |
-Derivative of inverse trigonometric functions using first principle |
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*Application of derivatives |
-Applying derivative to solve practical problems |
August
SEPT |
*Integrals
*Application of Integrals
* Differential equations
Revision and term exam |
problem solving
Sketching curves and identifying region whose area has to be found
identifying different differential equations like variable separable
form, homogeneous linear DE |
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OCT |
* Vectors |
-Problem solving |
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* Three dimensional geometry |
-Understanding concepts of drs and dcs. |
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SPECIFIC OBJECTIVES: |
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1To learn about relations, functions,matricesand determinants and solve
problems |
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2To study about differentiation, integration apply to solve practical
problems |
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3To formulate diet problem, transportation problem by linear programming |
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II TERM(XII) |
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MONTH |
NUMBER OF PERIODS |
TOPIC/UNIT |
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NOV |
*Linear programming |
--Formulating diet problem, transportation problem and solving them |
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*Probability |
- Writing probability distribution, problem solving |
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PRESCRIBED TEXT : NCERT TEXT BOOK |
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Together WITH MATHS |
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Comprehensive question BANK (tata mc-graw hill) |
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MATHEMATICS XII BY
R.D SHARMA |
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CBSE sample paper |
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u-like sample paper, Rohit sample paper |
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