LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes...

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1 LEARNING STANDARDS IN MATHEMATICS Mathematics is a compulsory core subject of study at school level. The position paper on mathematics (NCF 2005) has emphasized the main goal of mathematics education as “Mathematics of child’s thought processes”. The primary aim of mathematics education specifically relates to developing the child’s inner resources such as thinking capabilities. The kind of thinking the child learns in mathematics is an ability to handle abstractions and solve problems. In order to realize these goals and aims of mathematics education the recommendations made are: Shifting the focus of mathematics education from achieving primary goal to higher goal ie., a shift in focus from mathematical content to mathematical learning environment where mathematical processes are given importance. These mathematical processes are problem solving, estimation and approximation, use of patterns, visualization and mathematical communication. In order to cater to higher goal of teaching mathematic mathematics, the mathematics, focus should be on mathematical reasoning. The mathematical processes to be developed are inductive and deductive reasoning, process of generalization, mathematical investigations, verification and validation of mathematical statements, mathematical connections and relationships, reasoning with proofs, critical thinking and creative thinking. As per the vision of position paper on teaching mathematics “Excellent mathematics education is based on twin premises that all students can learn mathematics and that all students need to learn mathematics” Hence, the learning standards of mathematics outlines what is essential for students to learn during their time at school from first to tenth standard, ie., knowledge, skills and behaviors they are expected to develop and demonstrate at different levels of schooling. Learning standards provide a set of common standards which schools can use to plan students learning programs and assess students’ progress. Learning standards for mathematics are set at a challenging competency level.

Transcript of LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes...

Page 1: LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes Sub-themes 01. Number System 1.1 Numbers 1.2 Place value 1.3 Fractional numbers 02. Number

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LEARNING STANDARDS IN MATHEMATICS

Mathematics is a compulsory core subject of study at school level. The position paper on mathematics (NCF 2005) has emphasized the main goal of mathematics education as “Mathematics of child’s thought processes”. The primary aim of mathematics education specifically relates to developing the child’s inner resources such as thinking capabilities. The kind of thinking the child learns in mathematics is an ability to handle abstractions and solve problems. In order to realize these goals and aims of mathematics education the recommendations made are:

Shifting the focus of mathematics education from achieving primary goal to higher goal ie., a shift in focus from mathematical content to mathematical learning environment where mathematical processes are given importance. These mathematical processes are problem solving, estimation and approximation, use of patterns, visualization and mathematical communication.

In order to cater to higher goal of teaching mathematic mathematics, the mathematics, focus should be on mathematical reasoning. The mathematical processes to be developed are inductive and deductive reasoning, process of generalization, mathematical investigations, verification and validation of mathematical statements, mathematical connections and relationships, reasoning with proofs, critical thinking and creative thinking.

As per the vision of position paper on teaching mathematics “Excellent mathematics education is based on twin premises that all students can learn mathematics and that all students need to learn mathematics” Hence, the learning standards of mathematics outlines what is essential for students to learn during their time at school from first to tenth standard, ie., knowledge, skills and behaviors they are expected to develop and demonstrate at different levels of schooling. Learning standards provide a set of common standards which schools can use to plan students learning programs and assess students’ progress. Learning standards for mathematics are set at a challenging competency level.

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Themes and sub-themes

Standard I to V

Sl. No. Themes Sub-themes

01. Number System 1.1 Numbers 1.2 Place value 1.3 Fractional numbers

02. Number Operations

2.1 Addition 2.2 Subtraction 2.3 Multiplication 2.4 Division

03. Shapes and spatial understanding

3.1 Spatial relationship 3.2 Shapes of solids around us 3.3. 2-D and 3-D objects and shapes

04. Measurement 4.1 length 4.2 Weight and volume 4.3 Time

05. Money 06. Data handling 07. Patterns

Standard VI to VIII

01. Number system 1.1 knowing about numbers 1.2 playing with numbers 1.3 Fractions and Decimals

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1.4 Percentages 02. Powers and exponents 03. Ratio and Proportion

04. Algebra

4.1 Algebraic expressions 4.2 Factorization 4.3 Equations 4.4 Graphs

05. 2-D, 3-D and symmetry 06. Triangles and symmetry 07. Mensuration 08. Data handling

Standards IX and X

01. Number system

1.1 Squares and square roots 1.2 Real numbers 1.3 Euclid’s Lemma 1.4 Surds

02 Sets 03. Commercial mathematics

04. Permutation, combination and probability

05. Algebra 5.1 Multiplication and division of polynomials 5.2 Factorization 5.3 Equations – simultaneous , linear and quadratic

06. Geometry 6.1 Triangles 6.2 Quadrilaterals 6.3 Circles

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07. Mensuration 08. Statistics 08. Co-ordinate geometry 09. Trigonometry

LEARNING STANDARDS OF MATHEMATICS

STANDARD I TO V

Theme 1: Numbers

Sub – themes Standard I Standard II Standard III Standard IV Standard V 1.1 Numbers 1. Develop a sense of

numbers from 1 to 9 1. Count with understanding numbers from 10 to 99

1. Count with understanding numbers from 100 to 999

1. Count with understanding numbers from 1000 to 9999

1. Count with understanding numbers from 10,000 to 99,999

2. Count with understanding numbers from 1 to 9 and 10 to 20.

2. Read and writes numerals from 10 to 99

2. Read and writes numerals from 100 to 999

2. Read and writes numerals from 1000 to 9999

2. Read and writes numerals from 10,000 to 99,999

3. Understand ways of representing numbers – numerals from 1 to 9 and 10 to 20

3. Represent numbers on pre-number line

3. Count in various ways – skip counting and back counting.

3. Count in various ways – skip counting and back counting.

3. Count in various ways – skip counting and back counting.

4. Develop an understanding of the relative position and magnitude of numbers – ordinal

4. Understand the comparison of 2-digit numbers.

4. Understand the comparison of 3-digit numbers.

4. Understand the comparison of 4-digit numbers.

4. Understand the comparison of 5-digit numbers.

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and cardinal numbers.

5. Understand the connection between ordinal and cardinal numbers.

5. Count in various ways – group counting, skip counting.

6. Represent numbers in many ways – including relating, composing and decomposing.

7. Connect number words and numerals to the quantity they represent.

1.2 Place Value

1. Develop the sense of grouping objects in ten’s.

1. Understand the concept of place - value

1. Understand the concept of place – value structure of the base ten numbers system.

1. Understand the concept of place – value structure of base ten system

1. Understand the concept of place – value structure of base ten number system.

2. Develop the vocabulary of group of ten’s and ‘ones’.

2. Expand a number with respect to place – value of digits.

2. Expand 3-digit numerals using place value.

2. Expand 4-digit numerals using place value.

2. Expand 5-digit numerals using place value.

3. Represent the group of tens and ones by drawing.

3. Use the concept of place value in the comparison of numbers.

3. Represent the numbers in place – value chart.

3. Represent the numbers in place – value chart.

3. Represent the numbers in place – value chart.

4. Count and connect the number of tens

4. Represent the place value of

4. Compare numbers based on

4. Compare numbers based

4. Compare numbers based

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and ones in a given numeral.

digits on place value chart.

place – value of digits.

on place – value of digits.

on place – value of digits.

1.3 Fractional numbers

1. Understand the meaning of fractions as part of unit wholes.

1. Use models, pictures and objects to judge the size of fractions.

1. Understand the meaning of fractions as a part of a collection, as location on number line.

2. Understand and represent commonly used fractions such as ¼, ½. ¾.

2. Identify and generate equivalent forms of commonly used fractions 2/4. ½, 3/3, 4/4 etc.,

2. Identify and generate equivalent fractions.

3. Relate these fractions to real life situations.

3. Understand the meaning of decimal numbers such as 0.1, 0.2, 0.3 etc.,

3. Understand the comparison of fractions.

4. Represent these decimal numbers using pictures.

4. Estimate the

degree of

closeness of a

faction to known

fractions (1/2, ¼,

¾) using a

number line.

5. Relate the

fraction to

decimal form.

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Theme 2: Number Operations 2.1 Addition 2.2 Subtraction

1. Understand the

different meaning of

addition of whole

numbers.

1. Develop

understanding of

addition and

subtraction,

algorithm –

without

regrouping, -

regrouping.

1. Use standard

algorithm for

addition and

subtraction for

3-digit numerals

– without

regrouping, - with

regrouping.

1.Use standard algorithm for addition and subtraction for 4 -digit numerals – without regrouping, - with regrouping.

1.Use standard algorithm for addition and subtraction for 5-digit numerals – without regrouping, - with regrouping.

2. Add using real objects and pictures.

2. Understand the use of place value in standard algorithm of addition and subtraction.

2. Solve addition and subtraction problems in real life situations represented through pictures and stories.

2. Solve addition and subtraction problems in real life situations represented through pictures and stories.

2. Develop problem solving skills and solving addition and subtraction problems from real life situations.

3. Add numbers using the symbol ‘+’.

3. Understand the cumulative property of addition through patterns.

3. Frame simple addition and subtraction problems on their own.

3. Frame simple addition and subtraction facts.

3. Appreciate the role of place value in addition and subtraction of algorithm.

4. Understand the various meanings of subtraction of whole numbers.

4. Develop problem solving skill in solving real life problems involving addition

4. Develop and use strategies for adding and subtracting single digit numbers and

4. Develop and use strategies for adding and subtracting multiples of 10

4. Understand the estimating and appreciation process of sum and differences.

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and subtraction. two digit numbers mentally.

and 100 mentally.

5. Subtract using real objects, pictures and symbol ‘-‘

5. Create and solves problems of addition and subtraction.

5. Develop fluency in mental addition and subtraction.

5. Develop fluency in mental addition and subtraction.

5. Develop fluency in estimating and approximating sums and differences.

6. Understand the relation between addition and subtraction.

6. Develop and

use strategies for

adding and

subtracting single

digit numbers and

multiples of ten

mentally.

6. Develop and use strategies to estimate the sums and differences. 7. Select appropriate methods and tools for computing – mental work, estimation, calculations, paper and pencil.

7. Understand the effect of adding and subtracting whole numbers with zero.

7. Develop fluency in addition and subtraction of numbers mentally.

2.3 Multiplication 2.4 Division

1. Understand the situations involving repeated addition and

1. Understand the situations involving repeated addition and

1. Understand multiplication and division facts.

1. Multiply whole numbers using standard algorithm.

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multiplication. multiplication. 2. Represent

repeated addition

and subtraction

through objects

and pictures.

2. Use sign of

multiplication to

represent

multiplication

facts.

2. Understand

and use lattice

and standard

algorithm for

multiplication of

2 and 3 digit

numbers.

2. Develop and

use informal and

standard division

algorithms.

3. Develop multiplication tables.

3. Understand the

multiplication of

2-digit numbers

using – standard

algorithm, - lattice

multiplication

algorithm.

3. Understand the

process of

division using

- dots, - grouping,

-repeated

subtraction, -

multiplication of

facts.

3. Estimate

products and

quotients and

verifies using

approximation.

4. Understand the meaning of division as – equal grouping, - equal sharing, - repeated subtraction.

4. Frame word problems involving multiplication and division.

5. Relate division with multiplication.

5. Solve problems involving multiplication and division from real life situations.

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6. Use sign of division to represent facts.

6. Estimate products.

Theme 3. Shapes and Spatial Understanding

3.1 Spatial relationship

1.Develop and use vocabulary of spatial relationship – top and bottom, on and under, above and below, near and far, before and after, inside and outside.

3.2 Shapes of solids around us 3.3. 2-D and 3-D shapes and objects.

1. Identify, sort and describe the objects like pebbles, balls, pipes, cones etc.,

1. Develop and uses geometrical attributes such as roundness, face, edge, corner, vertex found in the objects.

1. Identify, compare and analyzes attributes of two and three - dimensional shapes.

1. Create shapes and tiles geometrical shapes

1. Explore intuitively as – the reflections, - the rotations, - symmetry of 2-Dnd 3-D shapes.

2. Sort 2-D shapes. 2. Identify and use the names of 3-D shapes such as, - sphere, cube, cuboid, cylinder and cone.

2. Develop vocabulary to describe the attributes of 2-D and 3-D shapes.

2. Investigate the result of rotating a coin, stacking up bangles etc.,

2. Draw intuitively plans, elevation and side view of 3-D objects.

3. Represent circles, triangles and rectangles through

3. Identify and use names of 2-D shapes such as

3. Describe the shapes using the attributes.

3. Explore the perimeter and area of 2-D

3. Understand the different types of angles, represent

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pictures and cut-outs.

triangle, rectangle, square, circle.

shapes. angles by – drawing, tracing paper folding.

4. Describe the way shapes affect the movements- rolling and sliding.

4. Describe the properties of 2-D shapes.

4. Relate 2-D and 3-D objects.

4. Draw circles and identify the centre, radius and diameter.

4. Represent angles by – drawing, tracing, paper folding.

5. Draw circle, triangles and rectangles(freehand)

5. Trace the 2-D outlines of 3-D objects by observing their shadows.

5. Investigate and

predict the result

of putting

together and

taking apart 2-D

and 3-D shapes.

5. Use various instruments to draw circles.

6. Draw freehand figures.

6. Create 2-D

shapes by various

methods – paper

folding, - paper

cutting.

6. Identify and describe the line and rotational symmetry in 2-Dand 3-D shapes.

7. Identify the shapes that tile and that do not tilt.

Theme 4: Measurement

4.1 Length 4.2 Weight and volume.

1. Develop and use the vocabulary – long and short, -thin and thick, -heavy and light.

1. Seriate objects by comparing their lengths.

1. Understand the need for measuring length with standard unit – meter and

1. Relate meter with centimeter and converts one unit to another.

1. Understand the meaning of perimeter and area of simple geometrical

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centimeter figures. 2. Identify the

attributes of length and weight and compares objects.

2. Estimate distances and lengths and verify using non-standard units.

2. Estimate the length and verify by measuring using a ruler.

2. Use the units to solve problems on lengths and distances.

2. Solve real life problems involving perimeter and area.

3. Understand the measurement of length using non-standard units.

3. Compare between heavy and light objects.

3. Estimate the weight of objects using non-standard units.

3. Determine weight of objects using a balance and standard units.

3. Relate

commonly used

larger and

smaller units of

length, weight

and volume.

4. Understand the concept of ‘volume’.

4. Measure the volume of given liquid with standard units.

4. Carry out the

conversion of

units and use

them in solving

real life problems.

5. Measure and

compare the

volume (capacity)

using non-

standard units.

5. Estimate the

weights and

volumes and

verify by

measuring.

6. Develop an understanding of conservation of weight and volume.

6. Determine the sums and differences of weights and volumes.

4.3 Time

1. Develop the sense

1. Understand the

1. Understand the

1. Read clock time

1. Use addition

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of long and short duration, earlier and later and sequence of events.

sequence of events and time duration.

method of reading time and calendar.

to nearest minutes.

and subtraction finding time intervals.

2. Familiarize with days and months.

2. Familiarize with 12 page calendar and month

2. Sequence the events chronologically.

2. Estimate the time duration.

3. Compute the number of days and weeks in a year and justifies the reason for leap year.

Theme 5. Money Money

1. Identify and

acquaint with

currency notes and

coins.

1. Acquaint with

the transaction of

amount using 3-

notes and coins.

1. Relate rupee to

paise and

converts.

1. Solve problems

involving

addition and

subtraction of

money.

1. Analyse and

solve problems

involving money

by applying the

four basic

operations.

2. Relate the cost of

material with

currency.

2. Add and

subtracts money

mentally

2. Add and

subtract amounts

using column

algorithm.

2. Understand

and describe rate

charts and bills.

2. Prepare rate

charts and bills.

3. Get familiar

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with rate charts and bills.

Theme 6: Data handling

6.1 Data handling

1. Pose questions and gather data about themselves and surrounding.

1. Collect data by observation

1. Collect data using observation and measurement.

1. Represent the data in the form of bar graph.

1. Collect and represent the data in the form of a table and graphs – pictograph and bar graph.

2. Represent the

data using objects,

pictures and

interpret it.

2. Sort and

classify the data

and represent it

through pictures,

objects.

2. Record the data

using tally marks.

2. Draw

conclusions

through

discussions.

2. Interpret the

graphs.

3. Draw

inferences from

the data.

3. Represent the

data pictorially

using a scale.

4. Draw

conclusions from

the data.

Theme 7. Patterns 7.1 Patterns

1. Observe and

identify simple

patterns found in

shapes in the

surrounding.

1. Identify the

number pattern

and extend it.

1. Identify

number patterns

in odd an even

numbers,

multiplication

1. Identify

patterns in

multiplication

tables and

multiples of 10’s,

1. Identify square

and triangular

numbers through

patterns.

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etc., 100’s etc.,

2. Identify, describe and extend the given sequence of pattern.

2. Create block patterns.

2. Identify symmetrical shapes and related patterns and makes the patterns.

2. Identify geometrical patterns based on symmetry.

2. Create border strip and tiling patterns.

STANDARD VI and VII

Theme 1: Number System

Sub themes Standard VI Standard VII 1.1Knowing about numbers

1. Sense the place value of a natural number

up to 10 digits

2.Identify the smaller and bigger numbers;

3.Use appropriate symbols like <, >, = etc.,

4.Solve simple word problems

5.Convert the unit of length and mass from

meter to centimeter and kilogram to grams

6.approximates large numbers to the nearest

tens, hundreds and thousands

7.Compare decimal system of numbers with

international system of numbers

8. Simplify by removing brackets

1.2 Playing with numbers

1. Identify the rules of divisibility of numbers

2.Comprehend the set of even, odd, prime and

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composite numbers

3.find the prime factors of a composite

number and express them as the product of

prime factors

4.find the Highest Common Factor(HCF) of

two natural numbers by factorization method

5.Find the LCM of numbers by prime

factorization method;

6.Establish relationship between HCF and

LCM of numbers using the property HCF x

LCM = product of given number.

7.Find the HCF or LCM using the above

property

1.3 Whole numbers

1.Perform arithmetic computations involving natural numbers and whole numbers 2. Represent addition, subtraction and multiplication of numbers on number line. 3.Explain commutative, associative and distributive property of natural numbers and whole numbers

1.4 Integers

1. Illustrate situations involving negative

numbers

2.Represent negative numbers on number

line

3.Generates patterns, identify and formulate

rules for addition and subtraction of integers

4.Perform simple operations on addition and

subtraction of integers and represent the

1. State the rule of multiplication and

division of integers through patterns

2.States the commutative and associative

properties of integers for addition and

multiplication

3.States the distributive property of integers

– multiplication over addition

4.Construcs counter examples related to the

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same on number line.

above properties

5.Generates counter examples like

subtraction is not commutative over whole

numbers;

6.Solve word problems on properties and

operations of integers

1.5 Fractions and Decimals

1 Represent fractions pictorially and on

number line

2. Understands the meaning of fraction as a

division

3.Explain the meaning of proper, improper

and mixed fractions with examples

4. Expresses given fractions as equivalent

fractions

5.Compare fractions and arrange them in

ascending and descending orders.

6. Develop strategies for computing addition

and subtraction with fractions

7. Understand the meaning of decimal

fractions and the place value of digits in it.

8.Convert fractions into decimal form and

vice-versa

9. Develop and analyse the strategies for

computing addition and subtraction of

decimal fractions up to 100th place.

10.Solve word problems involving addition

1.Perform multiplication of fractions

2.Understand the meaning of fraction as an

operator

3. Express the reciprocal of fraction

4. Develop and use strategies for division of

fractions

5. Uses appropriate estimates to evaluate

calculations involving mixed fractions

6.Solve word problems involving mixed

fractions

7. Understand the meaning of rational

numbers

8.Represent the rational numbers on

number line

9. Perform operations on rational numbers

(involving all operations)

10.Represent rational numbers as decimals

and computes to a required accuracy in

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and subtractions on decimals, related to two

operations together on money, mass, length,

temperature and time.

terms of decimal places and significant

figures

11.Perform multiplication and division of

decimal fractions

12.Solve word problems on rational numbers

(involving all operations)

13.Convert units of length and mass

14.Solve problems including all operations

on length and mass

1.6 Percentage

1. Understand the meaning of percentage as the fraction with 100 as the denominator 2. Convert fractions and decimals into percentage and vice-versa 3.Apply the concept of percentage in computing problems based on simple interest( time period in complete year)

Theme 2: Ratio and Proportion

2.1Ratio

1. Understand ratio as comparison of quantities of same kind 2.Understand that two quantities in ratio can be compared if they have the same units 3.Express day to day situation related to ratio 4.Understand the concept of proportion as equality of two ratios 5.Use unitary method for calculating unknown in equivalent ratio 6.Solve problems using unitary method

1. Explain the meaning of unitary method 2.Analyse and Solve higher order problems using unitary method

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Theme 3: Exponents

3.1 Exponents 1.Evaluate natural numbers given in exponent form 2.State the laws of exponents by observing patterns 3.Use the laws of exponents to simplify numerical expressions

Theme 4: Algebra 4.1 Introduction to Algebra

1 Develop the concept of variable using recognisable patterns 2.Recognise the patterns using the objects; 3.Approximate the numbers of objects required for forming a given number pattern 4.Frame expressions involving unknown terms (variables)for word problems and vice-versa

1.Identify constants, variables, coefficients and powers 2.Understand the meaning of algebraic expressions and degree of expressions 3.Distinguish between like and unlike terms 4.Perform addition and subtraction on algebraic expressions whose coefficients are integers 5.Find the product of two or more algebraic expressions with integral coefficients

4.2Linear equation 1.Understand the concept of simple linear

equation

2.Frame linear equation for given statements

3. Solve simple linear equations in one

variable (in contextual problems) with two

operations like addition and subtraction

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Theme 5:Geometry

5.1Basic geometrical ideas 5.2Triangles

1.Understand and describe the linkage of geometrical concepts in everyday experience 2.Understands the concept of open and closed figures; interior and exterior of closed figures 3.Develop conceptual understanding of angle, vertex, arm, interior and exterior angles 4.Develop conceptual understanding of triangle; it’s vertices, sides, angles, interior angle, exterior angle; altitude and medians of a triangle 5.Develop conceptual understanding of quadrilateral(only convex quadrilateral), its sides, vertices, angles, diagonals, adjacent sides and opposite sides 6.Develop conceptual understanding of circle; related terms such as centre, radius, diameter, chord, arc, semi circle, circumference; interior and exterior region of circle

1.Develop conceptual understanding of pair

of angles such as linear, supplementary,

complementary, adjacent, vertically opposite

angles

2.Practically verify the property related to

vertically opposite angles

3.Develop conceptual understanding of

angles related to parallel lines with

transversal – corresponding, alternate,

interior and exterior angles

4.Generalises and states the properties of

angles related to parallel lines with

transversal

5.Uses the properties to find the angles

1.State the angle sum property of triangle

and verify it practically, through paper

folding

2.State and verify the exterior angle

property of triangle

3. State and verify side sum property of

triangle

4.Apply the properties of triangle to analyse

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and solve problems

5.State and verify Pythagoras statement on

right angled triangle.

5.3Understanding elementary shapes (2-Dimensional and 3-Dimensional)

1.Measure line segments and angles using suitable instruments 2.Develop conceptual understanding of pair of lines such as intersecting lines, perpendicular lines and parallel lines 3.Identify types of angles – acute, obtuse and right angles, reflex angles, complete angle and zero angle 4.Classify triangles on the basis of sides and angles 5.Identify types of quadrilaterals – trapezium, parallelogram, rectangle, square and rhombus 6.Identify simple polygons up to octagons including regular as well as non regular polygons 7.Identify 3-dimensional shapes like cubes, cuboids, cylinder, sphere cone, prism and pyramids 8.Identify 3-D shape objects in the surrounding 9.Identify the elements of 3-D shapes – faces, edges and vertices.

5.4 Symmetry

1. Identify 2-D symmetrical objects for reflection symmetry; 2.Perform operation of reflection of simple 2-D objects by taking mirror images 3.Identifies reflection symmetry and its axis

1.Understand the idea of rotational

symmetry of 2-D objects ( 900, 1200, 1800)

2.Perform operation of rotation through

900and 1800 of simple figures

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3.Generate examples of figures with both

rotation and reflection symmetry;

4.Gives example of figures that have both

reflection and rotational symmetry and vice-

versa; (representing 3-D in 2-D)

5.Draw 2-D nets to construct simple three

dimensional objects such as prism, pyramid

etc.,

6.Identify the congruency of geometrical

shapes and objects through superimposition

7.Make tessellations from simple shapes

8.Identify and count the number of faces,

edges and vertices of 3-D shape objects

through 2-D pictures(nets of cubes, cuboids

etc. through pictures)

9.Match 2-D pictures with 3-D objects and

identify their names

1o.Understand the concept of congruency

through super imposition of objects/ things

available in day to day life

11. Extends the idea of congruency to simple

geometrical shapes like triangles, circles

12.Use co-ordinates to identify position of

objects/things in plane

5.5 Constructions – using scale, protractor and compasses

1.Understand the procedure of construction of line segment, circle, perpendicular bisector 2.Construct different angles using protractor 3.Construct angles 600 and 1200 y using

1.Understand and the procedure construct

perpendicular bisector, angle bisector –

making angles 200, 450, 900 etc. using

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compasses. compasses

2.Construct angles equal to a given angle by

using compass

3.Draw a line perpendicular to a given line

from a point on the line and outside the line

4.Construct a line parallel to a given line

from a point outside it

Theme 6: Mensuration

6.1 Concept of perimeter and area

1.Develop conceptual understanding of perimeter of different shapes 2.Identify different shapes having same perimeter 3.Deduce the formula of the perimeter of rectangle and then square through pattern recognition and generalisation 4.Develop conceptual understanding of the concept of area - area of rectangle and area of square

1.Finds the area of square, triangle, parallelogram and circle using basic unit area 2. Computes simple calculations related to the area of shapes like triangle, square, rectangle.

Theme 7: Data Handling

7.1Data handling

1.Select appropriate data to examine a hypothesis 2.Collect, Organise and represent the data in tally bars and table 3.Represent the data in pictograph 4.Discuss and appreciate the need for scaling while representing data through bar graph and pictograph

1.Understand the need for collection of data

for hypotheses testing

2.Understand the concept of mean, median

and mode for ungrouped data and make

simple inference based on this data.

3.Understand the representation of

uni-variate data in appropriate graphical

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Standard VIII

Theme 1: Number System

Sub themes Learning Standards 1.1 Rational numbers

1. Understand the meaning of rational number 2. Represent rational numbers and its properties on number line 3. Develop the skill of performing arithmetic operations on rational numbers 4.State and use the properties of addition and multiplication like closure, commutative, associative and distributive to simplify computations with rational numbers 5.Understand and use the existence of identity element and inverse element of addition and multiplication to simplify and solve problems 6. Estimate the results of computations on rational numbers and judge the reasonableness of results.

5.Construct the bar graphs using suitable scales 6.Interpret the data represented in tally bars and tables

forms including bar graph

4.Construct bar graphs

5.Develop conceptual understanding of the

concept of probability using data through

random experiments like tossing coins, dice

etc.

6.Tabulate and count occurrences of 1

through 6 in a number of throws of a dice

7.Represents outcome of random

experiments through bar graphs

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1.2 Squares, square roots, cubes and cube roots of perfect cubes only

1. Understand and use the squaring, cubing of numbers 2.Find square roots, cube roots by factor method 3.Estimate the square roots and cube roots

1.3 Playing with numbers

1. Create puzzles using numbers by applying the four operations like addition,

subtraction, multiplication and division

2.Solve number puzzles, number games and magic squares

3. Deduce the divisibility test rules of 2, 3, 5, 9, 10 and 11 for 2, 3 or 4 digit numbers

1.4 Percentages, Profit and Loss, Discount, commission, tax and simple interest

1.Develop and use the formula of percentages, profit and loss, discount and

commission to solve problems

2. Develop and use the formula of simple interest to solve advanced problems

3. Select and apply the suitable formula to solve problems on tax

Theme 2: Exponents

2.1 Exponents and laws of exponents

1.Develop conceptual understanding of the meaning of exponent and an

2.Generate the laws of exponent through pattern recognition and state in general form 3. Analyse, select and apply the suitable law of exponents to simplify problems

Theme 3: Algebra

3.1 Polynomials and operations on it

1. Understand the meaning of polynomial and types of polynomials 2. Select and apply the rule of addition, subtraction and multiplication of integers while simplifying the problems on algebraic expressions and polynomials 3.Find special products like (x+a)(x+b), (a+b)2 , (a-b)2 , (a+b)(a-b)

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4. Understand the meaning of identities 5. Use identity to expand the algebraic expressions

3.2 Factorization

1. Select and apply the suitable identity to factorise the algebraic expressions

3.3 Linear Equations

1.Express the linear equation in general form 2.Analyse and solve linear equations in one variable involving multiplication and division

3.4 Introduction to graph

1.Develop conceptual understanding of Cartesian plane, axes and coordinates of a point 2.Draw coordinate axes on graph sheet and locate points on it 3.Plot the graph for linear equation and also for different situations 4. Read, analyze and interpret the plotted graphs 5. Express the relationship between equations and graphs of lines

Theme 4: Geometry

4.1 Axioms, postulates and theorems

1. Understand the meaning of axioms, postulates, enunciations and theorems

2. State and verify axioms and postulates

3.State and verify the statements practically related to linear pair, vertically opposite

angles and parallel lines

4.State and verify the statement related to the theorem on alternate and interior

angles

5.Analyse and deduce the logical proof of the theorem

6.Solve numerical problems and prove riders based on the theorem

4.2Theorems on Triangles

1.State and verify the statement practically which is related to the theorem on angle sum property of triangle 2. Analyse and deduce the logical proof of the theorem on angle sum property of triangle

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3.Develop conceptual understanding of exterior angle of the triangle 4. State and verify the statement practically which is related to the theorem on exterior angle of the triangle 5.Analyse and deduce the logical proof of the theorem on exterior angle of the triangle 6.Analyse and solve riders based on the theorems

4.3 Congruency of triangles

1.Develop conceptual understanding of congruency of plane figures

2.Create and critique inductive and deductive arguments concerning geometrical

idea such as congruency of triangles and postulates based on it

3.State and verify practically the postulates on congruency of triangles (SAS, SSS,

ASA, RHS)

4.Analyse and solve riders based on these postulates

4.4 Base angles theorem and RHS theorem

1.State and verify practically the statement of base angle theorem 2.Analyse and prove the base angle theorem logically 3.State and prove the converse statement of the base angle theorem 4.Analyse and prove the riders based on base angle theorem and its converse 5.Analyse and deduce the logical proof for the RHS statement

4.5 Construction of triangles

1. Selects and uses appropriate geometrical instruments to construct different types

of triangles based on all criteria of data

2. Construct triangles accurately to given measurements with precision

4.6 Quadrilaterals

1. Use geometrical models to represent and explain the quadrilateral, properties and its types 2.Compare, classify and differentiate the different types of quadrilaterals 3.States and verify the properties of parallelograms by practical method 4. Analyse and solve problems based on properties of parallelogram

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Theme 5: Mensuration 5.1 Surface area and volume of cube and cuboids

1. Use geometrical models to represent and explain cube and cuboids

2. Develop strategies to determine the surface area and volume of cube and cuboids

and derive the formulae

3. Select and apply techniques and tools to find accurately surface area and volume

of cube and cuboids

4.Understand, select and use units appropriate to measure surface area and volume

of cube and cuboids

Theme 6: Data handling

6.1 Preparation of frequency distribution table and bar graph for grouped and ungrouped data.

1. Prepare, analyse and interpret the data in the form of tables and bar graph; 2. Discuss and understand the correspondence between data sets and their graphical representations especially bar graph

6.2 Calculation of measures of central tendency

1.Compute the mean, median and mode for ungrouped and grouped data 2.Analyse and interpret the results on mean, median and mode

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Standard IX and X

Theme 1: Numbers

Sub-theme Standard IX Standard X 1.1 Square root by division method

1.Realize the need for the division method of finding square root. 2.Understand and find the square root of the given number by division method

1.2Real Numbers

1.Verify the basic properties of real numbers 2.Compare and differentiate the rational and irrational numbers

1.3 Euclid’s Lemma, Fundamental theorem of arithmetic. Irrationality of

√�,√�,√�

1.Develop an understanding of Euclid’s lemma and fundamental theorem of arithmetic. 2.Apply the knowledge to prove various ideas of mathematics

3.Prove that √2,√3,√5 are irrational, by method of contradiction

Theme 2: Progressions

2.1 Arithmetic progression

1.Develop conceptual understanding of meaning of sequence, arithmetic sequence, series, common difference 2.Frame the formula for nth term and sum of arithmetic progression 3.Solve application problems on arithmetic progression

2.2Geometric progression

1.Develop conceptual understanding of meaning of geometric sequence, series,

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common ratio 2.Frame the formula for nth term and sum of geometric progression 3.Solve application problems on geometric progression

2.3Harmonic progression

1.Develop conceptual understanding of meaning of harmonic sequence and series 2.Frame the formula for nth term of harmonic progression 3.Solve problems on harmonic progression

2.4Arithmetic mean, geometric mean and harmonic mean – relation between A.M., G.M. and H.M.

1.Develop conceptual understanding of A.M., G.M. and H.M. 2.Understand the relationship between A.M., G.M. and H.M.

Theme 3: Sets

3.1 Set and Set operations

1.Develop an understanding of sets and set operations 2.Represnt sets and set operations using appropriate symbols and through Venn diagrams

3.2 Properties of set operations

1.Perform operations on sets 2.Compare the results and draw conclusions 3.State the properties of set operations 4.Communicate mathematical idea through set language.

Theme 4: Surds

4.1Surd and its types 1.Understands the meaning of surds and its types. 2.Convert surds into index form and vice versa.

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4.2 Representing

√�,√�,√� on number line.

1.Represent irrational numbers geometrically on a number line. 2.Apply the Pythagoras theorem to represent

√2,√3,√5 on number line.

43 Operations on surds

1.Classify the surds as like and unlike surds 2.Perform the basic operation on surds 3.Understand and perform the operation to rationalize the surd

Theme 5: Statistics and Probability

5.1 Measures of Central tendency Measures of Dispersion

1.Calculate the mean/median/mode for the given data. 2.Analyse and realize the need for measures of data. 3.Calculate the different measures of dispersion 4.Compare and draw conclusions about merits/demerits of each measure.

1.Calculate the standard deviation for the given data 2.Draws conclusion about the best measure of dispersion

5.2 Graphical representation

1.Represent data in the form of histogram, ogives and frequency polygons using appropriate scale. 2.Discuss and understand correspondence between data sets and their graphical representation. 3.Compare different representations of the same data and evaluate how they show different representations

1.Represent data in the form of a pie chart. 2.Read, analyze and interpret the data represented by pie-chart. 3.Construct pie-chart.

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5.3 Permutation and Combination

1.Develop an understanding of permutations and combinations as counting techniques. 2.Compare and contrast the concepts of permutation and combination. 3.Develop, analyze and use formula for computing number of permutations and combinations.

5.4Probability

1.Understands the meaning of a random experiment 2.Develop an understanding about chance of occurrence of an event

1.Understand the concept of sample space and construct sample spaces 2.Understand how to compute probability of an event

Theme 6: Commercial Mathematics

6.1Banking

1.Familiarize with passbook, challan, cheques and drafts 2.Calculate the interest on deposits in SB account using appropriate method

6.2 Compound Interest

1.Differentiate between simple and compound interest; 2.Calculate compound interest 3.Derive a formula to find compound interest and use it for computations

6.3Hire purchase

1.Differentiate between hire purchase and installment. 2.Calculate EMI, rate of interest in hire purchase.

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6.4Proportion 1.Understand the meaning of proportion and its types 2.Develop, analyze and explain the method of solving problems involving proportions

Theme 7: Operations on Algebraic Expressions

7.1Multiplication

1.Use appropriate identities to find the product of algebraic terms 2.Apply the knowledge to find the product of large numbers.

7.2 Factorisation

1.Factorise the expressions using appropriate methods.

7.3Division

1.Divide one algebraic expression by another to find the quotient and remainder; 2.Verify the result of division.

1.Divide one polynomial by another (synthetic division) 2.State the remainder theorem 2.Find the remainder by using the remainder theorem and verify by actual division.

7.4 GCF and LCM of algebraic expressions

1.List the factors and find the highest common factor. 2.Find the least common multiple of the given algebraic expressions.

Theme 8: Equations 8.1Simultaneous linear equations

1.Understand the meaning of simultaneous linear equations 2.Write equivalent forms of expressions, equations and relation; 3.Solve two simultaneous linear equations to find the solution

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4.Solve the linear equations graphically. 8.2 Quadratic Equations

1.Understand the meaning of quadratic equation and its types. 2.Solve the quadratic equations by various methods; 3.Judge the limitations of factorization method; 4.Derive a formula to find its roots; 5.Draw conclusions about the nature of roots based on the value of discrimininant. 6.Use a variety of symbolic representations of quadratic equations and explain the relationships.

Theme 9: Variation

9.1 Variation - Types of variation

1.Understand and explain the meaning of variation and its types; 2.Analyse and solve problems involving direct inverse and compound variations.

Theme 10. Polygons 10.1 Polygons and its types

1.Understand the meaning of polygons and its types 2.Identify and classify polygons 3.Inscribe a polygon of given number of sides 4.Identify different types of quadrilaterals and their properties 5.Calculate the areas of quadrilaterals using appropriate formula 6.Construct quadrilaterals for the given measurement

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7Analyse and logically prove theorems based on parallelograms.

Theme 11: Concurrent lines in a triangle

11.1 Concurrent lines Medians Altitudes Perpendicular bisectors Angular bisectors

1.Understand the meaning of concurrent lines. 2.Analyse properties and determine the attributes of concurrent lines in triangles 3.Explore the properties and relationships and solve problems on them. 4.Construct various possible concurrent lines in a triangle; 5.Verify the properties of concurrent lines by construction.

Theme 12: Similar triangles

12.1 Basic proportionality theorem

1.State and prove the basic proportionality theorem logically 2.State the corollaries 3.Analyse and deduce logical proof for riders based on the theorem

12.2 Theorems based on similar triangles

1.Identify similar figures and their corresponding elements 2.State and prove the theorems based on similar triangles logically 3.Establish the validity of the statements using deduction 4.Analyse and deduce logical proof for riders based on the theorem

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12.3 Pythagoras theorem

1.Identify the relation between the sides of a right angled triangle 2.State and prove Pythagoras theorem logically 3.Analyse ad state the converse of the theorem 4.Analyse and deduce the logical proof for riders based on Pythagoras theorem

Theme 13: Circles

13.1 Terms related to a circle

1.Identify, define and give examples for the terms related to a circle.

13.2 Chord properties of a circle

1.State and prove the theorem based on chord properties logically.

1.Constructs and verifies the properties practically.

32.3 Angle properties of a circle

1.State and prove the theorem based on angle properties logically.

1.Verify the properties by construction.

13.4 Cyclic quadrilaterals

1.Understand the meaning and properties of a cyclic quadrilateral;

State and prove the theorem logically.

1.Verify the properties by construction.

13.5 Tangents to a circle

1.Understand the meaning of a tangent 2.Construct tangents to a given circle 3.Construct common tangents to two circles

13.6Touching circles

1.State the condition for two circles to touch each other 2.State and prove theorems logically

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Theme 14: Mensuration

14.1 Surface area and

volume of solids

* prism

* Pyramid

* Cylinder

* Cone

* Frustrum of a cone

* Objects made up a

two sides.

1.List out the properties of prism and pyramid 2.Compare and contrast their properties; 3.Calculate the surface areas and volume of prisms and pyramids 4.Apply the knowledge to calculate the surface area and volume of objects made up of two solids.

1.Identify properties of cylinder, cone, sphere 2.Calculate the surface area and volume; 3.Calculate the surface area and volume of combination of solids.

14.2 Scale drawing of figures of irregular shapes

1.Draw to scale the figures of irregular shapes 2.Judge the appropriate scale to which the figure is drawn

Theme 15. Polyhedra and networks

15.1Polyhedra

1.Identify the features of a polyhedron 2.Establish the relation between number of faces, vertices and edges of a polyhedral 3.Verify Euler’s formula for polyhedral

15.2Networks

1.Identify the regions, nodes and arcs 2.Verify Euler’s formula for graphs 3.State the condition for traversability of graphs

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Theme 16: Co-ordinate geometry

16.1 Slope of a liner equation

1.Understand the meaning of slope of a line and calculate the slope of the line 2.Judge the effect of variation of slope

16.2Equation of a line

1.Derive the equation of a line in slope intercept form. 2.Represent geometrical figures algebraically using co-ordinates.

16.3Distance formula

1.Derive relations to find the distance between two points in a Cartesian plan; 2.Calculates the lengths of the sides using the relation.

Theme 17: Trigonometry

17.1 Trigonometric ratios and identities

1.Define the trigonometric ratios for the acute angle in a right angles triangle; 2.List the values of trigonometric ratios for some standard angles 3.Establish the trigonometric identities ; 4.Define the trigonometric ratios of complementary angles.

17.2 Angle of elevation and depression

1.Identify the values of angle of elevation/depression in a given situation; 2.Calculate height/distance using the values of angle of elevation/depression.

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1.3 ¥ÀÆtð ¸ÀASÉåUÀ¼ÀÄ 1. ªÁ¸ÀÛ«PÀ ¸ÀASÉåUÀ¼ÀÄ ªÀÄvÀÄÛ ¥ÀÆtð¸ÀASÉåUÀ¼À ªÉÄïÉ

ªÀÄÆ® QæAiÉÄUÀ¼À£ÀÄß ¤ªÀð»¸ÀĪÀgÀÄ

2. ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄÃ¯É ¸ÀAPÀ®£À, ªÀåªÀPÀ®£À ªÀÄvÀÄÛ

UÀÄuÁPÁgÀ QæAiÉÄUÀ¼À£ÀÄß ¥Àæw¤¢ü¸ÀĪÀgÀÄ

3. ªÁ¸ÀÛ«PÀ ªÀÄvÀÄÛ ¥ÀÆtð ¸ÀASÉåUÀ½UÉ ¸ÀA§A¢ü¹zÀ

¥ÀjªÀvÀð¤ÃAiÀÄ, ¸ÀºÀªÀvÀð¤ÃAiÀÄ ªÀÄwÛ «¨sÁdPÀ

¤AiÀĪÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ.

1.4 ¥ÀÆuÁðAPÀUÀ¼ÀÄ 1. IÄt ¥ÀÆuÁðAPÀUÀ¼À£ÉÆß¼ÀUÉÆAqÀ ¸À¤ßªÉñÀUÀ¼À£ÀÄß

CjAiÀÄĪÀgÀÄ

2. IÄt ¥ÀÆuÁAPÀUÀ¼À£ÀÄß ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄïÉ

¥Àæw¤¢ü̧ ÀĪÀgÀÄ

3. ¥ÀÆuÁðAPÀUÀ¼À ªÉÄð£À ¸ÀAPÀ®£À ªÀÄvÀÄÛ

ªÀåªÀPÀ®£ÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¤AiÀĪÀÄUÀ¼À£ÀÄß

«£Áå¸ÀUÀ¼À ªÀÄÆ®PÀ ¤gÀƦ¸ÀĪÀgÀÄ

4. ¥ÀÆuÁðAPÀUÀ¼À ¸ÀAPÀ®£À ªÀÄvÀÄÛ ªÀåªÀPÀ®£À

ªÀiÁqÀĪÀgÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À£ÀÄß ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄïÉ

¥Àæw¤¢ü̧ ÀĪÀgÀÄ

1. ¥ÀÆuÁðAPÀUÀ¼À ªÉÄð£À UÀÄuÁPÁgÀ ªÀÄvÀÄÛ

¨sÁUÁPÁgÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¤AiÀĪÀÄUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ

2. ¸ÀAPÀ®£À ªÀÄvÀÄÛ UÀÄuÁPÁgÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ

¥ÀÆuÁðAPÀUÀ¼À ¥ÀjªÀvÀð£À ªÀÄvÀÄÛ ¸ÀºÀªÀvÀð£À

¤AiÀĪÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

3. ¥ÀÆuÁðAPÀUÀ¼À «¨sÁdPÀ ¤AiÀĪÀĪÀ£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ

4. ªÉÄð£À ¤AiÀĪÀÄUÀ½UÉ ¸ÀÆPÀÛªÁzÀ

GzÁºÀgÀuÉUÀ¼À£ÀÄß ¤«Äð¸ÀĪÀgÀÄ

5. ¥ÀÆuÁðAPÀUÀ¼À ªÉÄð£À ªÀåªÀPÀ®£À ¸ÀºÀªÀvÀð¤ÃAiÀÄ

DUÀĪÀÅ¢®èªÉA§ÄzÀPÉÌ GzÁºÀgÀuÉ ¤«Äð¸ÀĪÀgÀÄ

6. ¥ÀÆuÁðAPÀUÀ¼À ªÉÄð£À QæAiÉÄUÀ¼ÀÄ ªÀÄvÀÄÛ

®PÀëtUÀ¼À ªÉÄð£À ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ

1.5 ©ü£ÀßgÁ²UÀ¼ÀÄ ªÀÄvÀÄÛ 1. ©ü£ÀßgÁ²UÀ¼À£ÀÄß avÀæUÀ¼À ªÀÄÆ®PÀ ªÀÄvÀÄÛ 1. ©ü£ÀßgÁ²UÀ¼À£ÀÄß UÀÄuÁPÁgÀ ªÀiÁqÀĪÀgÀÄ

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zÀ±ÀªÀiÁA±ÀUÀ¼ÀÄ ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄÃ¯É ¸ÀÆa¸ÀĪÀgÀÄ

2. ©ü£ÀßgÁ²AiÀÄ£ÀÄß ¨sÁUÁPÁgÀªÁV ¥ÀjPÀ°à¹PÉƼÀÄîªÀgÀÄ

3. ©ü£ÀßgÁ²UÀ¼À «zsÀUÀ¼À£ÀÄß GzÁºÀgÀuÉUÀ¼ÉÆA¢UÉ

«ªÀj¸ÀĪÀgÀÄ

4. zÀvÀÛ ©ü£ÀßgÁ²UÀ¼À ¸ÀªÀiÁ£À ©ü£ÀßgÁ²UÀ¼À£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ

5. ©ü£ÀßgÁ²UÀ¼À£ÀÄß ºÉÆð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À£ÀÄß

KjPÉ ºÁUÀÆ E½PÉ PÀæªÀÄUÀ¼À°è eÉÆÃr¸ÀĪÀgÀÄ

6. ©ü£ÀßgÁ²UÀ¼À ¸ÀAPÀ®£À ªÀÄvÀÄÛ ªÀåªÀPÀ®£À ªÀiÁqÀĪÀ

vÀAvÀæUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

7. zÀ±ÀªÀiÁA±À ©ü£ÀßgÁ²AiÀÄ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß

CjvÀÄPÉƼÀÄîªÀgÀÄ

8. ©ü£ÀßgÁ²UÀ¼À£ÀÄß zÀ±ÀªÀiÁA±À ©ü£ÀßgÁ²UÀ¼ÁV ºÁUÀÆ

zÀ±ÀªÀiÁA±ÀUÀ¼À£ÀÄß ©ü£ÀßgÁ²UÀ¼ÁV ¥ÀjªÀwð¸ÀĪÀgÀÄ

9. zÀ±ÀªÀiÁA±À ©ü£ÀßgÁ²UÀ¼À ¸ÀAPÀ®£À ªÀÄvÀÄÛ ªÀåªÀPÀ®£À

ªÀiÁqÀĪÀ vÀAvÀæUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ (£ÀÆgÀ£ÉAiÀÄ

¸ÁÜ£ÀzÀªÀgÉUÉ)

10. ©ü£ÀßgÁ² ªÀÄvÀÄÛ zÀ±ÀªÀiÁA±À ©ü£ÀßgÁ²UÀ¼À£ÀÄß M¼ÀUÉÆAqÀ ¢£À¤vÀåzÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß (ºÀt, vÀÆPÀ,

GzÀÝ, PÁ® EvÁå¢UÀ¼À£ÉÆß¼ÀUÉÆAqÀ) ©r¸ÀĪÀgÀÄ.

2. ©ü£ÀßgÁ²AiÀÄ£ÀÄß MAzÀÄ ¥ÀQæAiÀÄPÁgÀªÁV

CxÉÊð¸ÀĪÀgÀÄ

3. ©ü£ÀßgÁ²AiÀÄ «¯ÉÆêÀĪÀ£ÀÄß ªÀåPÀÛ¥Àr¸ÀĪÀgÀÄ

4. ©ü£ÀßgÁ²UÀ¼À ¨sÁUÁPÁgÀ ªÀiÁqÀ®Ä vÀAvÀæUÀ¼À£ÀÄß

CjAiÀÄĪÀgÀÄ

5. «Ä±Àæ ©ü£ÀßgÁ²UÀ¼À£ÉÆß¼ÀUÉÆAqÀ ¯ÉPÀÌZÁgÀUÀ¼À°è

¨É¯ÉUÀ¼À£ÀÄß CAzÁf¸ÀĪÀgÀÄ

6. «Ä±Àæ ©ü£ÀßgÁ²UÀ¼À£ÉÆß¼ÀUÉÆAqÀ ºÉýPÉ

¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ

7. ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

8. ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À£ÀÄß ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄïÉ

¥Àæw¤¢ü̧ ÀĪÀgÀÄ

9. J¯Áè ªÀÄÆ®QæAiÉÄUÀ¼À£ÀÄß ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À

ªÉÄÃ¯É ªÀiÁqÀĪÀgÀÄ

10. ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À£ÀÄß zÀ±ÀªÀiÁA±ÀUÀ¼ÁV ¥Àæw¤¢ü̧ ÀĪÀgÀÄ

11. zÀ±ÀªÀiÁA±ÀUÀ¼À ªÉÄÃ¯É UÀÄuÁPÁgÀ ªÀÄvÀÄÛ ¨sÁUÁPÁgÀUÀ¼À£ÀÄß ªÀiÁqÀĪÀgÀÄ

12. ¨sÁUÀ®§Þ ¸ÀASÉåUÀ¼À£ÉÆß¼ÀUÉÆAqÀ ºÉýPÉ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ

13. GzÀÝ ªÀÄvÀÄÛ vÀÆPÀzÀ ªÀiÁ£ÀUÀ®£ÀÄß ¥ÀjªÀwð¸ÀĪÀgÀÄ

14. GzÀÝ ªÀÄvÀÄÛ vÀÆPÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¯ÉPÀÌUÀ¼À£ÀÄß

©r¸ÀĪÀgÀÄ

1.6 ±ÉÃPÀqÀ 1. ±ÉÃPÀqÁ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß bÉÃzÀ 100 EgÀĪÀ

©ü£ÀßgÁ² JAzÀÄ ¤gÀƦ¸ÀĪÀgÀÄ

2. ±ÉÃPÀqÁªÀ£ÀÄß ©ü£ÀßgÁ²UÀ¼ÀÄ ªÀÄvÀÄÛ zÀ±ÀªÀiÁA±ÀUÀ¼ÁV

¥ÀjªÀwð¸ÀĪÀgÀÄ

3. ¸ÀgÀ¼À §rØUÉ ¸ÀA§A¢ü¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ±ÉÃPÀqÀ

¥ÀjPÀ®à£É §¼À¹ ©r¸ÀĪÀgÀÄ

«µÀAiÀÄ 2: C£ÀÄ¥ÁvÀ ªÀÄvÀÄÛ ¸ÀªÀiÁ£ÀÄ¥ÁvÀ

2.1 C£ÀÄ¥ÁvÀ ªÀÄvÀÄÛ 1. ¸ÀeÁwÃAiÀÄ ¥ÀjªÀiÁtUÀ¼À ºÉÆðPÉAiÀÄ£ÀÄß 1. KPÀªÀiÁ£À ¥ÀzÀÞwAiÀÄ CxÀðªÀ£ÀÄß «ªÀj¸ÀĪÀgÀÄ

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¸ÀªÀiÁ£ÀÄ¥ÁvÀ C£ÀÄ¥ÁvÀªÉAzÀÄ ¥ÀjUÀ¤¸ÀÄ«gÉAzÀÄ CjAiÀÄĪÀgÀÄ

2. JgÀqÀÄ ¥ÀjªÀiÁtUÀ¼À£ÀÄß ºÉÆð¹ C£ÀÄ¥ÁgÀ

ªÀåPÀÛ¥Àr¨ÉÃPÁzÀgÉ CªÀÅUÀ¼À ¸ÀªÀiÁ£ÀªÁzÀ

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3. ¢£À¤vÀå ¸ÀAzÀ¨sÀðUÀ¼À°è C£ÀÄ¥ÁvÀ §¼À¸ÀĪÀ

GzÁºÀgÀuÉUÀ¼À£ÀÄß PÉÆqÀĪÀgÀÄ

4. JgÀqÀÄ ¸ÀªÀÄ£ÁzÀ C£ÀÄ¥ÁvÀUÀ¼ÀÄ ¸ÀªÀiÁ£ÀÄ¥ÁvÀªÉAzÀÄ

CjAiÀÄĪÀgÀÄ

5. ¸ÀªÀiÁ£ÀÄ¥ÁgÀUÀ¼À°è CªÀåPÀÛ ¥ÀzÀªÀ£ÀÄß KPÀªÀiÁ£À

¥ÀzÀÞwAiÀÄ°è PÀAqÀÄ »rAiÀÄĪÀgÀÄ

6. KPÀªÀiÁ£À ¥ÀzÀÞw §¼À¹ ºÉýPÉ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

©r¸ÀĪÀgÀÄ

2. G£ÀßvÀ ªÀÄlÖzÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¹, KPÀªÀiÁ£À

¥ÀzÀÞwAiÀÄ£ÀÄß §¼À¹ ©r¸ÀĪÀgÀÄ

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3.1 WÁvÁAPÀUÀ¼ÀÄ 1. WÁvÁAPÀ gÀÆ¥ÀzÀ°è PÉÆnÖgÀĪÀ ªÁ¸ÀÛ«PÀ ¸ÀASÉåUÀ®

¨É¯É PÀAqÀÄ»rAiÀÄĪÀgÀÄ

2. «£Áå¸ÀUÀ¼À ªÀÄÆ®PÀ WÁvÁAPÀUÀ¼À ¤AiÀĪÀÄUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ

3. ¸ÀASÁå ¥ÀzÉÆÃQÛUÀ¼À£ÀÄß WÁvÁAPÀ ¤AiÀĪÀÄ §¼À¹

©r¸ÀĪÀgÀÄ

«µÀAiÀÄ 4: ©ÃdUÀtÂvÀ

4.1 ©ÃdUÀtÂvÀPÉÌ ¦ÃpPÉ 1. «£Áå¸ÀUÀ¼À ªÀÄÆ®PÀ ZÀgÁA±ÀzÀ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß

CjAiÀÄĪÀgÀÄ

2. ªÀ¸ÀÄÛUÀ¼À£ÀÄß §¼À¹ «£Áå¸ÀUÀ¼À£ÀÄß ¥Àæw¤¢ü¸ÀĪÀgÀÄ

3. zÀvÀÛ ¸ÀASÁå «£Áå¸ÀªÀ£ÀÄß gÀƦ¸À®Ä CUÀvÀå«gÀĪÀ

ªÀ¸ÀÄÛUÀ¼À ¸ÀASÉåAiÀÄ£ÀÄß CAzÁf¸ÀĪÀgÀÄ

4. ZÀgÁA±ÀUÀ¼À£ÀÄß M¼ÀUÉÆAqÀ ºÉýPÉUÀ½UÉ

¥ÀzÉÆÃQÛUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ

1. ©ÃeÉÆÃQÛUÀ½UÉ ¸ÀA§A¢ü¹zÀ ZÀgÀ¥ÀzÀUÀ®Ä,

¹ÜgÁAPÀUÀ¼ÀÄ, ¸ÀºÀUÀÄtUÀ¼ÀÄ-EªÀÅUÀ¼À CxÀðªÀ£ÀÄß

CjAiÀÄĪÀgÀÄ

2. ©ÃeÉÆÃQÛUÀ¼ÀÄ, «zsÀUÀ¼ÀÄ ªÀÄvÀÄÛ ©ÃeÉÆÃQÛUÀ¼À

PÀæªÀĪÀ£ÀÄß CjAiÀÄĪÀgÀÄ

3. ¸ÀªÀÄ ªÀÄvÀÄÛ C¸ÀªÀÄ ¥ÀzÀUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

4. ¸ÀºÀUÀÄtPÀUÀ¼ÀÄ ¥ÀÆuÁðAPÀUÀ½gÀĪÀAvÉ ©ÃeÉÆÃQÛUÀ¼À

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5. JgÀqÀÄ CxÀªÁ ºÉZÀÄÑ ©ÃeÉÆÃQÛUÀ¼À UÀÄuÁPÁgÀ

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2. zÀvÀÛ ºÉýPÉUÀ½UÉ ¸ÀÆPÀÛªÁzÀ ¸ÀgÀ¼À

¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ

3. ¸ÀgÀ¼À ¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ (2 QæAiÉÄUÀ¼ÀÄ

EgÀĪÀ)

«µÀAiÀÄ 5: gÉÃSÁUÀtÂvÀ

5.1 ªÀÄÆ® gÉÃSÁPÀÈwUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼ÀÄ

1. ªÀÄÆ® gÉÃSÁUÀtÂvÀzÀ ¥ÀjPÀ®à£ÉUÀ¼À£ÀÄß CjAiÀÄĪÀgÀÄ

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PÀ°à¸ÀĪÀgÀÄ

2. DªÀÈvÀ ªÀÄvÀÄÛ C£ÁªÀÈvÀ gÉÃSÁPÀÈwUÀ¼ÀÄ, DªÀÈvÀ

gÉÃSÁPÀÈwUÀ¼À M¼À ªÀÄvÀÄÛ ºÉÆgÀ PÉëÃvÀæUÀ¼ÀÄ-EªÀÅUÀ¼À

CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

3. PÉÆãÀUÀ¼ÀÄ, ±ÀÈAUÀ ©AzÀÄ, ¨ÁºÀÄ, M¼À ªÀÄvÀÄÛ ºÉÆgÀ

PÉÆãÀUÀ¼ÀÄ-EªÀÅUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

4. wæ¨sÀÄdzÀ ¥ÀjPÀ®à£É-CzÀgÀ ¨ÁºÀÄUÀ¼ÀÄ, ±ÀÈAUÀ

©AzÀÄUÀ¼ÀÄ, PÉÆãÀUÀ¼ÀÄ, JvÀÛgÀ ªÀÄvÀÄÛ ªÀÄzsÀågÉÃSÉUÀ¼ÀÄ-

EªÀÅUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

5. ZÀvÀĨsÀÄðd, CzÀgÀ ¨ÁºÀÄ PÉÆãÀ ªÀÄvÀÄÛ PÀtðUÀ¼ÀÄ,

¥Á±Àéð ªÀÄvÀÄÛ C©üªÀÄÄR ¨ÁºÀÄ ªÀÄvÀÄÛ PÉÆãÀUÀ¼ÀÄ

EªÀÅUÀ¼À ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ

6. ªÀÈvÀÛzÀ ¥ÀjPÀ®à£É-CzÀPÉÌ ¸ÀA§A¢ü¹zÀ ¥ÀzÀUÀ¼ÀÄ-

PÉÃAzÀæ ©AzÀÄ, wædå, ªÁå¸À, eÁå, PÀA¸À, ¥Àj¢ü, CzsÀð

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CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

1. ««zsÀ PÉÆãÀUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ-CtÂvÀ,

AiÀÄÄUÀä, ¥ÀÆgÀPÀ, ¥Àj¥ÀÆgÀPÀ, ¥Á±Àéð ªÀÄvÀÄÛ

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¥ÁæAiÉÆÃVPÀªÁV vÁ¼É £ÉÆÃqÀĪÀgÀÄ

3. bÉÃzÀPÀ ¸ÀªÀiÁAvÀgÀ ¸ÀgÀ¼À gÉÃSÉUÀ¼À£ÀÄß PÀvÀÛj¹zÁUÀ

GAmÁUÀĪÀ ¥ÀAiÀiÁðAiÀÄ PÉÆãÀUÀ¼ÀÄ,

C£ÀÄgÀÆ¥ÀPÉÆãÀUÀ¼À ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ

4. ¸ÀªÀiÁAvÀgÀ gÉÃSÉUÀ¼À£ÀÄß bÉÃzÀPÀ PÀvÀÛj¹zÁUÀ

GAmÁUÀĪÀ PÉÆãÀUÀ¼À UÀÄt®PÀëtUÀ¼À£ÀÄß

¸ÁªÀiÁ¤åÃPÀj¹, ¤gÀƦ¸ÀĪÀgÀÄ.

5. F UÀÄt®PÀëtUÀ¼À£ÀÄß §¼À¹ PÉÆãÀUÀ¼À£ÀÄß PÀAqÀÄ

»rAiÀÄĪÀgÀÄ

5.2 wæ¨sÀÄdUÀ¼ÀÄ 1. wæ¨sÀÄdzÀ PÉÆãÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ UÀÄt®PÀëtªÀ£ÀÄß

¥ÁæAiÉÆÃVPÀªÁV, ºÁ¼É ªÀÄqÀZÀĪÀ ªÀÄÆ®PÀ

¥Àj²Ã°¹, ¤gÀƦ¸ÀĪÀÅzÀÄ

2. wæ¨sÀÄdzÀ ºÉÆgÀPÉÆãÀPÉÌ ¸ÀA§A¢ü¹zÀ

UÀÄt®PÀëtªÀ£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV ¥Àj²Ã°¹,

¤gÀƦ¸ÀĪÀgÀÄ

3. wæ¨sÀÄdzÀ ¨ÁºÀÄUÀ½UÉ ¸ÀA§A¢ü¹zÀ UÀÄt®PÀëtªÀ£ÀÄß

Page 61: LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes Sub-themes 01. Number System 1.1 Numbers 1.2 Place value 1.3 Fractional numbers 02. Number

¥ÁæAiÉÆÃVPÀªÁV ¥Àj²Ã°¹, ¤gÀƦ¸ÀĪÀgÀÄ.

4. wæ¨sÀÄdzÀ UÀÄt®PÀëtUÀ¼À£ÀÄß DzsÀj¹zÀ

¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¹, ¥ÀjºÁgÀ PÀAqÀÄ

»rAiÀÄĪÀgÀÄ

5. ®A§PÉÆãÀ wæ¨sÀÄdPÉÌ ¸ÀA§A¢ü¹zÀ ¥ÉÊxÁUÉÆgÀ¸ï£À

¥ÀæªÉÄÃAiÀÄzÀ ºÉýPÉAiÀÄ£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV

¥Àj²Ã°¹, ¤gÀƦ¸ÀĪÀgÀÄ

5.3 2- DAiÀiÁªÀÄ ªÀÄvÀÄÛ

3- DAiÀiÁªÀÄzÀ DPÀÈwUÀ¼ÀÄ

1. ¸ÀÆPÀÛ G¥ÀPÀgÀtUÀ¼À£ÀÄß §¼À¹ gÉÃSÁRAqÀUÀ¼À ªÀÄvÀÄÛ

PÉÆãÀUÀ¼À C¼ÀvÉ ªÀiÁqÀĪÀgÀÄ

2. bÉâ¸ÀĪÀ gÉÃSÉUÀ¼ÀÄ, ¸ÀªÀiÁAvÀgÀ gÉÃSÉUÀ¼ÀÄ ªÀÄvÀÄÛ ®A§

gÉÃSÉUÀ® ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ

3. ««zsÀ PÉÆãÀUÀ¼À ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ-

®WÀÄPÉÆãÀ, «±Á®PÉÆãÀ, ®A§PÉÆãÀ, «±Á®¢üPÀ

PÉÆãÀ, ¥ÀÆtð PÉÆãÀ

4. PÉÆãÀUÀ¼ÀÄ ªÀÄvÀÄÛ ¨ÁºÀÄUÀ¼À£ÀÄß DzsÀj¹ wæ¨sÀÄdUÀ¼À£ÀÄß

ªÀVðÃPÀj¸ÀĪÀgÀÄ.

5. ZÀvÀĨsÀÄðdzÀ «zsÀUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ ªÀÄvÀÄÛ

¥ÀvÉÛ ºÀZÀÄѪÀgÀÄ-¸ÀªÀiÁAvÀgÀ ZÀvÀÄð¨sÀÄd, vÁæ¦då, DAiÀÄvÀ

ZËPÀ, ªÀeÁæPÀÈw

6. §ºÀĨsÀÄeÁPÀÈw, ¤AiÀÄ«ÄvÀ ªÀÄvÀÄÛ C¤AiÀÄ«ÄvÀ

§ºÀĨsÀÄeÁPÀÈwUÀ¼À ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ

7. 3-DAiÀiÁªÀÄzÀ DPÀÈwUÀ¼ÁzÀ WÀ£À, DAiÀÄvÀ WÀ£À,

¹°AqÀgï, ±ÀASÁPÀÈw, UÉÆüÀ, ¥ÀlÖPÀ ªÀÄvÀÄÛ UÉÆÃ¥ÀÄgÀ-

EªÀÅUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ ªÀÄvÀÄÛ ¥ÀvÉÛºÀZÀÄѪÀgÀÄ

8. ¸ÀÄvÀÛªÀÄÄvÀÛ°£À°ègÀĪÀ 3-DAiÀiÁªÀÄzÀ ªÀ¸ÀÄÛUÀ¼À£ÀÄß

¥ÀvÉÛºÀZÀÄѪÀgÀÄ

9. 3-DAiÀiÁªÀÄzÀ DPÀÈwUÀ¼À CA±ÀUÀ¼ÁzÀ-ªÀÄÄR, CAZÀÄ

ªÀÄvÀÄÛ ±ÀÈAUÀUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ.

5.4 ¸ÀªÀÄ«Äw

1.¥Àæw¥sÀ®£À ¸ÀªÀÄ«ÄwAiÀÄ£ÀÄß ºÉÆA¢gÀĪÀ 2-DAiÀiÁªÀÄUÀ¼À

ªÀ¸ÀÄÛUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ.

2.¥Àæw¥sÀ®£À QæAiÉÄ ¤ªÀ𻹠2-DAiÀiÁªÀÄ ªÀ¸ÀÄÛUÀ¼À zÀ¥Àðt

¥Àæw©A§ªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ

1. 2-DAiÀiÁªÀÄzÀ ªÀ¸ÀÄÛUÀ¼À ¥Àj¨sÀæªÀÄt

¸ÀªÀÄ«ÄwAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ (900

, 1200

, 1800

).

2. ¸ÀgÀ¼À DPÀÈwUÀ¼À ªÉÄÃ¯É 900

ªÀÄvÀÄÛ 1800

ªÀÄÆ®PÀ

¥Àj¨sÀæªÀÄt ªÀiÁqÀĪÀgÀÄ

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3.¥Àæw¥sÀ®£À ¸ÀªÀÄ«Äw ªÀÄvÀÄÛ CzÀgÀ CPÀëªÀ£À£ÀÄ

¥ÀvÉÛºÀZÀÄѪÀgÀÄ.

3. ¥Àæw¥sÀ®£À ªÀÄvÀÄÛ ¥Àj¨sÀæªÀÄt ¸ÀªÀÄ«Äw

ºÉÆA¢gÀĪÀ ªÀ¸ÀÄÛUÀ¼ÀÄ/DPÀÈwUÀ¼À£ÀÄß ¥ÀvÉÛºÀaÑ,

GzÁºÀgÀuÉ PÉÆqÀĪÀgÀÄ.

4. 3-DAiÀiÁªÀÄ DPÀÈwUÀ¼À£ÀÄß 2-DAiÀiÁªÀÄ avÀæUÀ¼À

ªÀÄÆ®PÀ ¥Àæw¤¢ü¸ÀĪÀgÀÄ

5. 3-DAiÀiÁªÀÄ ºÉÆA¢gÀĪÀ ¸ÀgÀ¼À ªÀ¸ÀÄÛUÀ¼ÁzÀ

¥ÀlÖPÀ, UÉÆÃ¥ÀÄgÀ EvÁå¢UÀ¼À gÀZÀ£ÉUÁV

2-DAiÀiÁªÀÄzÀ eÁ¯ÁPÀÈwUÀ¼À£ÀÄß §gÉAiÀÄĪÀgÀÄ

6. MAzÀgÀ ªÉÄïÉÆAzÀ£ÀÄß LPÀåUÉƽ¸ÀĪÀ ªÀÄÆ®PÀ

gÉÃSÁPÀÈw ªÀÄvÀÄÛ ªÀ¸ÀÄÛUÀ¼À ¸ÀªÀð¸ÀªÀÄvÉAiÀÄ£ÀÄß

CjAiÀÄĪÀgÀÄ

7. ¸ÀgÀ¼À DPÀÈwUÀ¼À£ÀÄß §¼À¹ «£Áå¸ÀUÀ¼À£ÀÄß

gÀa¸ÀĪÀgÀÄ

8. 3-DAiÀiÁªÀÄzÀ ªÀ¸ÀÄÛUÀ¼À ªÀÄÄRUÀ¼ÀÄ, CAZÀÄUÀ¼ÀÄ

ªÀÄvÀÄÛ ±ÀÈAUÀUÀ¼À£ÀÄß, CªÀÅUÀ¼À ¸ÀASÉåAiÀÄ£ÀÄß

2-DAiÀiÁªÀÄ avÀæUÀ¼À ªÀÄÆ®PÀ ¥ÀvÉÛºÀZÀÄѪÀgÀÄ.

9. 3-DAiÀiÁªÀÄ ªÀ¸ÀÄÛUÀ¼À£ÀÄß 2-DAiÀĪÀÄ

avÀæUÀ¼ÉÆA¢UÉ ºÉÆA¢¸ÀĪÀgÀÄ, ¥ÀvÉÛºÀZÀÄѪÀgÀÄ

ªÀÄvÀÄÛ ºÉ¸Àj¸ÀĪÀgÀÄ

10. CªÀPÁ±ÀzÀ°è£À ªÀ¸ÀÄÛUÀ¼À ¸ÁÜ£ÀªÀ£ÀÄß ZÀvÀÄxÁðAPÀ CPÉëÃUÀ¼À£ÀÄß §¼À¹ ¥ÀvÉÛ ºÀZÀÄѪÀgÀÄ

5.5 gÉÃSÁPÀÈwUÀ¼À gÀZÀ£É –

(C¼ÀvÉ ¥ÀnÖ, PÉÆãÀªÀiÁ¥ÀPÀ,

PÉʪÁgÀ §¼À¹)

1. gÉÃSÁRAqÀ, ®A¨ÁzsÀðgÉÃSÉUÀ¼ÀÄ ªÀÄvÀÄÛ ªÀÈvÀÛUÀ¼À

gÀZÀ£ÉAiÀÄ «zsÁ£ÀªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

2. PÉÆãÀªÀiÁ¥ÀPÀ §¼À¹ ««zsÀ PÉÆãÀUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ

3. PÉʪÁgÀ §¼À¹ 600

ªÀÄvÀÄÛ 1200

PÉÆãÀUÀ¼À£ÀÄß

gÀa¸ÀĪÀgÀÄ

1. PÉʪÁgÀ §¼À¹ ®A¨ÁzsÀðgÉÃSÉ, PÉÆãÁzsÀð gÉÃSÉ,

200

, 450

, 900

PÉÆãÀUÀ¼À£ÀÄß gÀa¸ÀĪÀ «zsÁ£ÀªÀ£ÀÄß

CjAiÀÄĪÀgÀÄ.

2. zÀvÀÛ PÉÆãÀPÉÌ ¸ÀªÀÄ£ÁzÀ PÉÆãÀªÀ£ÀÄß PÉʪÁgÀ §¼À¹

gÀa¸ÀĪÀgÀÄ

3. zÀvÀÛ gÉÃSÉUÉ, CzÀgÀ ªÉÄð£À ºÁUÀÆ

ºÉÆgÀ©AzÀÄ«¤AzÀ ®A§gÉÃSÉUÀ¼À£ÀÄß J¼ÉAiÀÄĪÀgÀÄ

4. zÀvÀÛ gÉÃSÉUÉ, CzÀgÀ ºÉÆgÀ©AzÀÄ«¤AzÀ ¸ÀªÀiÁAvÀgÀ

gÉÃSÉAiÀÄ£ÀÄß gÀa¸ÀĪÀgÀÄ.

«µÀAiÀÄ 6: PÉëÃvÀæUÀtÂvÀ

Page 63: LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes Sub-themes 01. Number System 1.1 Numbers 1.2 Place value 1.3 Fractional numbers 02. Number

6.1 ¸ÀÄvÀÛ¼ÀvÉ ªÀÄvÀÄÛ «¹ÛÃtð 1) «ªÀzsÀ gÉÃSÁPÀÈwUÀ¼À ¸ÀÄvÀÛ¼ÀvÉAiÀÄ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß

CjAiÀÄĪÀgÀÄ.

2) ««zsÀ DPÁgÀ ºÉÆA¢gÀĪÀ ºÁUÀÆ MAzÉà ¸ÀÄvÀÛ¼ÀvÉ

ºÉÆA¢gÀĪÀ DPÀÈwUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ, ºÉÆð¸ÀĪÀgÀÄ.

3) «£Áå¸ÀUÀ¼ÀÄ ªÀÄvÀÄÛ ¸ÁªÀiÁ¤åÃPÀgÀtUÀ¼À ªÀÄÆ®PÀ DAiÀÄvÀzÀ

¸ÀÄvÀÛ¼ÀvÉAiÀÄ «¹ÛÃtðªÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀ ¸ÀÆvÀæUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀÅzÀÄ ªÀÄvÀÄÛ ¯ÉPÁÌZÁgÀ ªÀiÁqÀ®Ä §¼À¸ÀĪÀÅzÀÄ.

4) «¹ÛÃtð ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ- DAiÀÄvÀ ªÀÄvÀÄÛ

ªÀUÀðzÀ «¹ÛÃtðUÀ¼À£ÀÄß PÀAqÀÄ »rAiÀÄĪÀgÀÄ.

1) ªÀUÀð, wæ¨sÀÄd, ¸ÀªÀiÁAvÀgÀ ZÀvÀÄð¨sÀÄd ªÀÄvÀÄÛ ªÀÈvÀÛUÀ¼À

«¹ÛÃtðªÀ£ÀÄß KPÀªÀiÁ£À «¹ÛÃtðzÀ ªÀÄÆ®PÀ ¤gÀƦ¸ÀĪÀgÀÄ

ªÀÄvÀÄÛ PÀAqÀÄ»rAiÀÄĪÀgÀÄ.

2) zÉÊ£ÀA¢£À ¸ÀªÀĸÉåUÀ¼À£ÀÄß ¸ÀÄvÀÛ¼ÀvÉ ªÀÄvÀÄÛ «¹ÛÃtð

¥ÀjPÀ®à£ÉUÀ¼À£ÀÄß §¼À¹ «±Éèö¸ÀĪÀgÀÄ ºÁUÀÆ ©r¸ÀĪÀgÀÄ.

«µÀAiÀÄ 7: zÀvÁÛA±ÀUÀ¼À ¤ªÀðºÀuÉ

7.1 zÀvÁÛA±ÀUÀ¼À ¸ÀAUÀæºÀuÉ,

¤gÀÆ¥ÀuÉ

1) ¥ÁæPÀ®à£ÉAiÀÄ£ÀÄß ¥Àj²Ã°¸À®Ä ¸ÀÆPÀÛ zÀvÁÛA±ÀUÀ¼À£ÀÄß DAiÉÄÌ

ªÀiÁrPÉƼÀÄîªÀgÀÄ.

2) ««zsÀ ªÀÄÆ®UÀ½AzÀ zÀvÁÛA±ÀUÀ¼À£ÀÄß ¸ÀAUÀ滸ÀĪÀgÀÄ,

vÁ¼ÉUÀ¼À£ÀÄß §¼À¹ ¥ÀnÖAiÀÄ°è ¥Àæw¤¢ü¸ÀĪÀgÀÄ.

3) avÀæ £ÀPÉëAiÀÄ£ÀÄß gÀa¸ÀĪÀgÀÄ.

4) £ÀPÉëAiÀÄ gÀZÀ£ÉUÉ ¥ÀæªÀiÁtzÀ CªÀ±ÀåPÀvÉAiÀÄ£ÀÄß

wêÀiÁð¤¸ÀĪÀgÀÄ, ¥ÀæªÀiÁt§zÀÞªÁV £ÀPÉëAiÀÄ£ÀÄß gÀa¸ÀĪÀgÀÄ.

5) £ÀPÉëUÀ¼À£ÀÄß «±Éèö¸ÀĪÀgÀÄ, CxÉÊð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

wêÀiÁð£ÀUÀ¼À£ÀÄß PÉÊUÉƼÀÄîªÀgÀÄ.

6) zÀvÁÛA±ÀUÀ½AzÀ ¥Àæw¤¢ü¸À§ºÀÄzÁzÀ ¥Àæ±ÉßUÀ¼À£ÀÄß ªÀÄvÀÄÛ

¸À¤ßªÉñÀUÀ¼À£ÀÄß gÀƦ¸ÀĪÀgÀÄ ºÁUÀÆ ¸ÀÆPÀÛ zÀvÁÛA±ÀUÀ¼À£ÀÄß

¸ÀAUÀ滹 ¥Àæw¤¢ü¸ÀĪÀgÀÄ.

1) vÁvÁÌ°PÀ ¤zsÁðgÀUÀ¼À£ÀÄß ¥ÀjÃQë¸À®Ä zÀvÁÛA±ÀUÀ¼À£ÀÄß

¸ÀAUÀ滸ÀĪÀgÀÄ ªÀivÀÄÛ ««zsÀ jÃwUÀ¼À°è ¥Àæw¤¢ü̧ ÀĪÀgÀÄ;

2) DAiÀÄvÀ £ÀPÉëUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ, «±Éèö¸ÀĪÀgÀÄ,

CxÉÊð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ wêÀiÁð£ÀUÀ¼À£ÀÄß PÉÊUÉƼÀÄîªÀgÀÄ;

3) zÀvÁÛA±ÀUÀ¼À PÉÃA¢æÃPÀÈvÀ ¥ÀæªÀÈwÛAiÀÄ£ÀÄß ¸À¤ßªÉñÀUÀ¼À

ªÀÄÆ®PÀ CjAiÀÄĪÀgÀÄ;

4) PÉÃA¢æÃPÀÈvÀ ¥ÀæªÀÈwÛAiÀÄ£ÀÄß C¼ÉAiÀÄĪÀ ¸ÀgÁ¸Àj, ªÀÄzsÁåAPÀ

ªÀÄvÀÄÛ gÀÆrü¨É¯É ¥ÀjPÀ®à£ÉUÀ¼À£ÀÄß CjAiÀÄĪÀgÀÄ ªÀÄvÀÄÛ

C¼ÀvɼÀ£ÀÄß CxÉÊð¸ÀÄ«PÉUÉ §¼À¸ÀĪÀgÀÄ.

5) AiÀiÁzÀÈaÒPÀ ¥ÀæAiÉÆÃUÀUÀ¼À£ÀÄß ¢£À¤vÀåzÀ ¸À¤ßªÉñÀUÀ¼À°è

¥ÀvÉÛºÀZÀÄÑgÀÄ ªÀÄvÀÄÛ ¤gÀƦ¸ÀĪÀgÀÄ;

6) AiÀiÁzÀÈaÒPÀ ¥ÀæAiÉÆÃUÀUÀ¼À°è ¸ÀA¨sÀªÀ¤ÃAiÀÄ WÀl£ÉUÀ¼À£ÀÄß

ªÀÄvÀÄÛ ¸ÀA¨sÀªÀ¤ÃAiÀÄvÉAiÀÄ£ÀÄß CjAiÀÄĪÀgÀÄ;

7) ªÀ¸ÀÄÛUÀ¼À£ÀÄß (£Átå, zÁ¼À EvÁå¢) §¼À¹

¸ÀA¨sÀªÀ¤ÃAiÀÄvÉAiÀÄ ¥ÀæAiÉÆÃUÀUÀ¼À£ÀÄß ªÀiÁqÀĪÀgÀÄ;

zÀvÁÛA±ÀUÀ¼À£ÀÄß £ÀPÉëUÀ¼À ªÀÄÆ®PÀ ¥Àæw¤¢ü¸ÀĪÀgÀÄ.

Page 64: LEARNING STANDARDS IN MATHEMATICS - Kar Themes and sub-themes Standard I to V Sl. No. Themes Sub-themes 01. Number System 1.1 Numbers 1.2 Place value 1.3 Fractional numbers 02. Number

PÀ°PÁ ªÀiÁ£ÀPÀUÀ¼ÀÄ: 8£Éà vÀgÀUÀw

«µÀAiÀÄ 01. ¸ÀASÁå ¥ÀzÀÝw

G¥À«µÀAiÀÄ PÀ°PÁ ªÀiÁ£ÀPÀUÀ¼ÀÄ

1.1 ¨sÁdå ¸ÀASÉåUÀ¼ÀÄ 1.¨sÁdå ¸ÀASÉåUÀ¼À CxÀðªÀ£ÀÄß w½AiÀÄĪÀgÀÄ

2.¨sÁdå ¸ÀASÉåUÀ¼ÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À UÀÄtUÀ¼À£ÀÄß ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄÃ¯É ¸ÀÆa¸ÀĪÀgÀÄ;

3.¨sÁdå ¸ÀASÉåUÀ¼À ªÉÄÃ¯É CAPÀUÀtÂvÀ QæAiÉÄUÀ¼À£ÀÄß ¤ªÀð»¸ÀĪÀgÀÄ;

4.¸ÀAPÀ®£À ªÀÄvÀÄÛ UÀÄuÁPÁgÀ UÀÄt®PÀëtUÀ¼ÁzÀ DªÀÈvÀ UÀÄt, ¥ÀjªÀvÀð¤ÃAiÀÄ UÀÄt, ¸ÀºÀªÀvÀð¤ÃAiÀÄ

UÀÄt ªÀÄvÀÄÛ «vÀgÀuÁ ¤AiÀĪÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ;

5.¸ÀªÀĸÉåUÀ¼À£ÀÄß ¸ÀAPÉëæ¸À®Ä ªÀÄvÀÄÛ ¥ÀjºÀj¸À®Ä, ¸ÀAPÀ®£ÀzÀ ªÀÄvÀÄÛ UÀÄuÁPÁgÀzÀ°è C£À£ÀåvÁA±ÀzÀ

EgÀÄ«PÉ, «¯ÉÆêÀiÁA±ÀzÀ EgÀÄ«PÉ EªÀÅUÀ¼À£Àß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ;

6.¨sÁdå ¸ÀASÉåUÀ¼À ªÉÄð£À ¥sÀ°vÁA±ÀUÀ¼À£ÀÄß CAzÁf¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ¥sÀ°vÁA±ÀUÀ¼À

G¥ÀAiÀÄÄPÀÛvÉAiÀÄ£ÀÄß ¤zsÀðj¸ÀĪÀgÀÄ.

1.2 ªÀUÀðUÀ¼ÀÄ, ªÀUÀðªÀÄÆ®UÀ¼ÀÄ,

WÀ£ÀUÀ¼ÀÄ ªÀÄvÀÄÛ WÀ£ÀªÀÄÆ®UÀ¼ÀÄ

- ¥ÀÆtð WÀ£ÀUÀ½UÉ ªÀiÁvÀæ.

1.ªÀUÀðUÉƽ¸ÀĪÀÅzÀÄ, WÀ£ÀUÉƽ¸ÀĪÀÅzÀÄ ªÀÄvÀÄÛ ªÀUÀðªÀÄÆ® ªÀÄvÀÄÛ WÀ£ÀªÀÄÆ®UÀ¼À

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ

2. ªÀUÀðªÀÄÆ® ªÀÄvÀÄÛ WÀ£ÀªÀÄÆ®UÀ¼À£ÀÄß C¥ÀªÀvÀð£À PÀæªÀÄ¢AzÀ PÀAqÀÄ »rAiÀÄĪÀgÀÄ.

3. ªÀUÀðªÀÄÆ® ªÀÄvÀÄÛ WÀ£ÀªÀÄÆ®UÀ¼À£ÀÄß CAzÁf¸ÀĪÀgÀÄ.

1.3 ¸ÀASÉåUÀ¼ÉÆA¢UÉ Dl 1. ¸ÀAPÀ®£À, ªÀåªÀPÀ®£À, UÀÄuÁPÁgÀ ªÀÄvÀÄÛ ¨sÁUÁPÁgÀ QæAiÉÄUÀ¼À£ÀÄß G¥ÀAiÉÆÃV¹PÉÆAqÀÄ,

¸ÀASÉåUÀ¼ÀÄß §¼À¹ DlUÀ¼À£ÀÄß ¸ÀASÁå DlUÀ¼À£ÀÄß ¸ÀȶָÀĪÀgÀÄ;

2. ¸ÀASÁå MUÀlÄUÀ¼ÀÄ, ¸ÀASÁå DlUÀ¼ÀÄ ªÀÄvÀÄÛ ªÀiÁAwæPÀ ZËPÀUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ.

3. ¸ÁªÀiÁ£Àå gÀÆ¥ÀzÀ°è ªÀåPÀÛ¥Àr¸À¯ÁzÀ 4 CAPÉAiÀÄ ¸ÀASÉåUÀ½UÉ, 2, 3, 5, 9 10 ªÀÄvÀÄÛ 11 F

¸ÀASÉåUÀ¼À ¨sÁdåvÉAiÀÄ ¤AiÀĪÀÄUÀ¼À£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ

1.4 ±ÉÃPÀqÁ, ¯Á¨sÀ ªÀÄvÀÄÛ £ÀµÀÖ,

jAiÀiÁ¬Äw, zÀ¯Áè½, vÉjUÉ

ªÀÄvÀÄÛ ¸ÀgÀ¼À §rØ.

1. ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸À®Ä ±ÉÃPÀqÁ, ¯Á¨sÀ ªÀÄvÀÄÛ £ÀµÀÖ, zÀ¯Áè½ ªÀÄvÀÄÛ jAiÀiÁ¬Äw EªÀÅUÀ¼À

¸ÀÆvÀæUÀ¼À£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ ªÀÄvÀÄÛ G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ.

2. ¸ÀgÀ¼À §rØAiÀÄ ¸ÀÆvÀæªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ ªÀÄvÀÄÛ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ¥ÀjºÀj¸À®Ä CªÀÅUÀ¼À£ÀÄß

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§¼À¸ÀĪÀgÀÄ.

3. vÉjUÉAiÀÄ ªÉÄð£À ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸À®Ä ¸ÀÆPÀÛ ¸ÀÆvÀæUÀ¼À£ÀÄß DAiÉÄÌ ªÀiÁrPÉƼÀÄîªÀgÀÄ.

«µÀAiÀÄ 2: WÁvÁAPÀUÀ¼ÀÄ

2.1 WÁvÁAPÀUÀ¼ÀÄ ªÀÄvÀÄÛ

WÁvÁAPÀUÀ¼À ¤AiÀĪÀÄUÀ¼ÀÄ.

1. WÁvÁAPÀzÀ CxÀðªÀ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

2. WÁvÁAPÀ ¤AiÀĪÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

3. ¸ÀªÀĸÉåUÀ¼À£ÀÄß ¸ÀgÀ¼À gÀÆ¥ÀPÉÌ vÀgÀ®Ä ¸ÀÆPÀÛªÁzÀ WÁvÁAPÀUÀ¼À ¤AiÀĪÀÄUÀ¼À£ÀÄß «±Éèö¸ÀĪÀgÀÄ,

DAiÉÄÌ ªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ C£Àé¬Ä¸ÀĪÀgÀÄ.

«µÀAiÀÄ 3: ©ÃeÉÆÃQÛUÀ¼ÀÄ

3.1 §ºÀÄ¥ÀzÉÆÃQÛUÀ¼ÀÄ ªÀÄvÀÄÛ

CªÀÅUÀ¼À ªÉÄð£À QæAiÉÄUÀ¼ÀÄ

1. §ºÀÄ¥ÀzÉÆÃQÛUÀ¼ÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À «zsÀUÀ¼À£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ

2. ¥ÀÆuÁðAPÀUÀ¼À ¸ÀAPÀ®£À, ªÀåªÀPÀ®£À ªÀÄvÀÄÛ UÀÄuÁPÁgÀzÀ ¤AiÀĪÀÄUÀ¼À£ÀÄß, ©ÃeÉÆÃQÛUÀ¼ÀÄ ªÀÄvÀÄÛ

§ºÀÄ¥ÀzÉÆÃQÛUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÁUÀ DAiÉÄÌ ªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ

C£Àé¬Ä¸ÀĪÀgÀÄ

3. EªÀÅUÀ¼À UÀÄt®§ÝUÀ¼À£ÀÄß PÀAqÀÄ

»rAiÀÄĪÀgÀÄ.

4. ¤vÀå ¸À«ÄÃPÀgÀtUÀ¼À ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ.

5. ©ÃeÉÆÃQÛUÀ¼À£ÀÄß «¸ÀÛj¸À®Ä ¸ÀÆPÀÛªÁzÀ ¤vÀå ¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ

3.2 C¥ÀªÀwð¸ÀÄ«PÉ

1. ©ÃeÉÆÃQÛUÀ¼À£ÀÄß C¥ÀªÀwð¸À®Ä ¸ÀÆPÀÛªÁzÀ ¸ÀÆvÀæUÀ¼À£ÀÄß DAiÉÄÌ ªÀiÁrPÉÆAqÀÄ §¼À¸ÀĪÀgÀÄ.

3.3 ¸ÀgÀ¼À ¸À«ÄÃPÀgÀtUÀ¼ÀÄ

1. ¸ÀgÀ¼À ¸À«ÄÃPÀgÀtUÀ¼À ¸ÁªÀiÁ£Àå gÀÆ¥ÀªÀ£ÀÄß CxÀðªÀiÁrPÉƼÀÄîvÁÛgÉ ªÀÄvÀÄÛ G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ.

3.4 D¯ÉÃRUÀ¼ÀÄ ªÀÄvÀÄÛ

CªÀÅUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀÅzÀÄ.

1.D¯ÉÃRzÀ°è ZÀvÀÄxÁðPÀzÀ CPÀëUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ

2. UÁæ¥sï ºÁ¼ÉAiÀÄ ªÉÄÃ¯É CPÀëUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ©AzÀÄUÀ¼À£ÀÄß ¸ÀÆa¸ÀĪÀgÀÄ

3. ¸ÀgÀ¼À ¸À«ÄÃPÀgÀtUÀ½UÉ ªÀÄvÀÄÛ «©ü£Àß ¸ÀAzÀ¨sÀðUÀ½UÉ D¯ÉÃRUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

«±Éèö¸ÀĪÀgÀÄ.

4. UÀÄwð¹gÀĪÀ D¯ÉÃRUÀ¼À£ÀÄß NzÀĪÀgÀÄ, «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ CxÉÊð¸ÀĪÀgÀÄ.

5. ¸À«ÄÃPÀgÀtUÀ¼ÀÄ ªÀÄvÀÄÛ gÉÃSÉUÀ¼À D¯ÉÃRUÀ½UÉEgÀĪÀ ¸ÀA§AzsÀªÀ£ÀÄß ªÀåPÀÛ¥Àr¸ÀĪÀgÀÄ.

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«µÀAiÀÄ 4: gÉÃSÁUÀtÂvÀ

4.1¸ÀéAiÀÄA ¹zÀÞUÀ¼ÀÄ, DzsÁgÀ

PÀ®à£ÉUÀ¼ÀÄ ªÀÄvÀÄÛ ¥ÀæªÉÄÃAiÀÄUÀ¼ÀÄ

1.¸ÀéAiÀÄA ¹zÀÞUÀ¼ÀÄ, DzsÁgÀ PÀ®à£ÉUÀ¼ÀÄ ªÀÄvÀÄÛ ¥ÀæªÉÄÃAiÀÄUÀ¼À CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

2. ¸ÀéAiÀÄA ¹zÀÞUÀ¼ÀÄ ªÀÄvÀÄÛ DzsÁgÀ PÀ®à£ÉUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É £ÉÆÃqÀĪÀgÀÄ

3.CtÂvÀ AiÀÄÄUÀä, ±ÀÈAUÁ©üªÀÄÄR PÉÆãÀUÀ¼ÀÄ ªÀÄvÀÄÛ ¸ÀªÀiÁAvÀgÀ gÉÃSÉUÀ½UÉ ¸ÀA§A¢ü¹zÀ ºÉýPÉUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É£ÉÆÃqÀĪÀgÀÄ

4.¥ÀAiÀiÁðAiÀÄ PÉÆãÀUÀ¼ÀÄ ªÀÄvÀÄÛ CAvÀgï PÉÆãÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¥ÀæªÉÄÃAiÀÄzÀ ºÉýPÉUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É £ÉÆÃqÀĪÀgÀÄ

5.¥ÀæªÉÄÃAiÀÄzÀ vÁQðPÀ ¸ÁzsÀ£ÉAiÀÄ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ¤UÀªÀÄ£À ¥ÀzÀÞwAiÀÄ°è ¸ÀA±Éèö¸ÀĪÀgÀÄ

6.¥ÀæªÉÄÃAiÀĪÀ£ÀÄß DzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ºÉýPÉUÀ¼À£ÀÄß ¸Á¢ü¸ÀĪÀgÀÄ.

4.2wæ¨sÀÄdUÀ¼À ªÉÄð£À

¥ÀæªÉÄÃAiÀÄUÀ¼ÀÄ

1.wæ¨sÀÄdzÀ PÉÆãÀ ªÉÆvÀÛ UÀÄt®PÀëtPÉÌ ¸ÀA§A¢ü¹zÀ ºÉýPÉAiÀÄ£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV ¤gÀƦ¸ÀĪÀgÀÄ

ªÀÄvÀÄÛ vÁ¼É£ÉÆÃqÀĪÀgÀÄ.

2.wæ¨sÀÄdzÀ PÉÆãÀ ªÉÆvÀÛ UÀÄt®PÀëtPÉÌ ¸ÀA§A¢ü¹zÀ ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ

3.wæ¨sÀÄdzÀ ºÉÆgÀPÉÆãÀzÀ CxÀðªÀ£ÀÄß CjvÀÄPÉƼÀÄîªÀgÀÄ

4.wæ¨sÀÄdzÀ ºÉÆgÀPÉÆãÀPÉÌ ¸ÀA§A¢ü¹zÀ ºÉýPÉAiÀÄ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É £ÉÆÃqÀĪÀgÀÄ

5.wæ¨sÀÄdzÀ ºÉÆgÀPÉÆãÀPÉÌ ¸ÀA§A¢ü¹zÀ ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV

¸Á¢ü¸ÀĪÀgÀÄ

6.¥ÀæªÉÄÃAiÀĪÀ£ÀÄß DzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ

4.3wæ¨sÀÄdUÀ¼À ¸ÀªÀð¸ÀªÀÄvÉ

1.¸ÀªÀÄvÀ¯ÁPÀÈwUÀ¼À ¸ÀªÀð¸ÀªÀÄvÉAiÀÄ CxÀðªÀ£ÀÄß CjAiÀÄĪÀgÀÄ

2.wæ¨sÀÄdUÀ¼À ¸ÀªÀð¸ÀªÀÄvÉ ªÀÄvÀÄÛ CªÀÅUÀ¼À ¹éÃPÀÈvÀ ¹zÁÞAvÀUÀ½UÉ ¸ÀA§A¢ü¹zÀAvÉ C£ÀÄUÀªÀÄ£À ªÀÄvÀÄÛ

¤UÀªÀÄ£À ªÁzÀUÀ¼À£ÀÄß ¸ÀȶָÀĪÀgÀÄ ªÀÄvÀÄÛ «±Éèö¸ÀĪÀgÀÄ

3.wæ¨sÀÄdUÀ¼À ¸ÀªÀð¸ÀªÀÄvÉUÉ ¸ÀA§A¢ü¹zÀ ¹éÃPÀÈvÀ ¹zÁÞAvÀUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

¥ÁæAiÉÆÃVPÀªÁV vÁ¼É£ÉÆÃqÀĪÀgÀÄ

4.¹éÃPÀÈvÀ ¹zÁÞAvÀUÀ½UÉ ¸ÀA§A¢ü¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ

4.4¥ÁzÀ PÉÆãÀUÀ¼À ¥ÀæªÉÄÃAiÀÄ

ªÀÄvÀÄÛ ®A§PÉÆÃ-PÀtð-¨ÁºÀÄ

¥ÀæªÉÄÃAiÀÄ

1.¥ÁzÀ PÉÆãÀUÀ¼À ºÉýPÉAiÀÄ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É£ÉÆÃqÀĪÀgÀÄ

2.¥ÁzÀ PÉÆãÀUÀ¼À ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ

3.¥ÁzÀ PÉÆãÀUÀ¼À ¥ÀæªÉÄÃAiÀÄzÀ «¯ÉÆêÀÄ ºÉýPÉAiÀÄ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV

¸Á¢ü¸ÀĪÀgÀÄ

4.¥ÁzÀ PÉÆãÀUÀ¼À ¥ÀæªÉÄÃAiÀÄ ªÀÄvÀÄÛ CzÀgÀ «¯ÉÆêÀÄ ºÉýPÉAiÀÄ£ÀÄß DzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

«±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ

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5.®A§PÉÆãÀ-PÀtð-¨ÁºÀÄ ºÉýPÉAiÀÄ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

4.5wæ¨sÀÄdUÀ¼À gÀZÀ£É

1.««zsÀ zÀvÁÛA±ÀUÀ¼À£ÀÄß DzsÀj¹zÀ ««zsÀ wæ¨sÀÄdUÀ¼À£ÀÄß gÀa¸À®Ä ¸ÀÆPÀÛªÁzÀ G¥ÀPÀgÀtUÀ¼À£ÀÄß

DAiÉÄ̪ÀiÁr §¼À¸ÀĪÀgÀÄ

2.zÀvÀÛ C¼ÀvÉUÀ½UÉ ¸ÀÆPÀÛªÁzÀ wæ¨sÀÄdUÀ¼À£ÀÄß ¤RgÀªÁV gÀa¸ÀĪÀgÀÄ

4.6ZÀvÀĨsÀÄðUÀ¼ÀÄ

1.ZÀvÀĨsÀÄðd, CzÀgÀ ®PÀëtUÀ¼ÀÄ ªÀÄvÀÄÛ «zsÀUÀ¼À£ÀÄß «ªÀj¸À®Ä ªÀÄvÀÄÛ ¸ÀÆa¸À®Ä gÉÃSÁUÀtÂwÃAiÀÄ

ªÀiÁzÀjUÀ¼À£ÀÄß §¼À¸ÀĪÀgÀÄ

2.ZÀvÀĨsÀÄðdzÀ «zsÀUÀ¼À£ÀÄß ºÉÆð¸ÀĪÀgÀÄ, ªÀVðÃPÀj¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ªÀåvÁå¸À PÀAqÀÄ »rAiÀÄĪÀgÀÄ

3.¸ÀªÀiÁAvÀgÀ ZÀvÀĨsÀÄðdzÀ UÀÄt®PÀëtUÀ¼À£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁ¼É

£ÉÆÃqÀĪÀgÀÄ

4.F UÀÄt®PÀëtUÀ¼À£ÀÄß DzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ©r¸ÀĪÀgÀÄ

«µÀAiÀÄ 5: PÉëÃvÀæUÀtÂvÀ

5.1 WÀ£À ªÀÄvÀÄÛ DAiÀÄvÀWÀ£ÀzÀ

ªÉÄïÉäöÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ

Wˣ˴s˨

1. WÀ£À ªÀÄvÀÄÛ DAiÀÄvÀWÀ£ÀªÀ£ÀÄß ¸ÀÆa¸À®Ä ªÀÄvÀÄÛ «ªÀj¸À®Ä gÉÃSÁUÀtÂvÀzÀ ªÀiÁzÀjUÀ¼À£ÀÄß

§¼À¸ÀĪÀgÀÄ;

2. WÀ£À ªÀÄvÀÄÛ DAiÀÄvÀWÀ£ÀzÀ PÉëÃvÀæ¥sÀ®, ºÉÆgÀªÉÄÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®ªÀ£ÀÄß CxÀð

ªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À£ÀÄß C¼ÀvÉ ªÀiÁqÀ®Ä ¸ÀÆPÀÛªÁzÀ ªÀÄÆ®ªÀiÁ£ÀªÀ£ÀÄß DAiÉÄÌ

ªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ §¼À¸ÀĪÀgÀÄ.

3. WÀ£À ªÀÄvÀÄÛ DAiÀÄvÀWÀ£ÀzÀ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®ªÀ£ÀÄß ¤zsÀðj¸À®Ä ªÀiÁUÉÆÃð¥ÁAiÀÄUÀ¼À£ÀÄß

¸ÀÆa¸ÀĪÀgÀÄ.

4. WÀ£À ªÀÄvÀÄÛ DAiÀÄvÀWÀ£ÀzÀ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®UÀ¼À£ÀÄß PÀAqÀÄ»rAiÀÄ®Ä ¸ÀÆPÀÛªÁzÀ ¸ÁzsÀ£À

ªÀÄvÀÄÛ vÀAvÀæUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ DAiÉÄ̪ÀiÁrPÉƼÀÄîªÀgÀÄ;

«µÀAiÀÄ 6: zÀvÁÛA±ÀUÀ¼À ¤ªÀðºÀuÉ

6.1 ªÀVÃðPÀÈvÀ ªÀÄvÀÄÛ

CªÀVÃðPÀÈvÀ zÀvÁÛA±ÀUÀ½UÉ

DªÀÈwÛ «vÀgÀuÁ ¥ÀnÖAiÀÄ£ÀÄß

vÀAiÀiÁj¸ÀĪÀÅzÀÄ ªÀÄvÀÄÛ ¸ÀÛA¨sÀ

1. PÉÆnÖgÀĪÀ zÀvÁÛA±ÀUÀ¼À£ÀÄß ¥ÀnÖUÀ¼ÀÄ ªÀÄvÀÄÛ ¸ÀÛA¨sÀ D¯ÉÃRUÀ¼À gÀÆ¥ÀzÀ°è ªÀåPÀÛ¥Àr¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

«±Éèö¸ÀĪÀgÀÄ;

2. zÀvÁÛA±ÀUÀ¼À UÀt ªÀÄvÀÄÛ CªÀÅUÀ¼À£ÀÄß C¯ÉÃRUÀ¼À ªÀÄÆ®PÀ ªÀåPÀÛ¥Àr¸ÀĪÀ°è£À ªÀÄÄRåªÁV

¸ÀÛA¨sÀgÉÃSÉUÀ¼À£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ ZÀað¸ÀĪÀgÀÄ.

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vÀgÀUÀw 9 ªÀÄvÀÄÛ 10

«µÀAiÀÄ 1. ¸ÀASÉåUÀ¼ÀÄ

G¥À-«µÀAiÀÄ 9£Éà vÀgÀUÀw 10£Éà vÀgÀUÀw

1.1¨sÁUÁPÁgÀ PÀæªÀÄ¢AzÀ

ªÀUÀðªÀÄÆ®

1.ªÀUÀðªÀÄÆ®ªÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀÅzÀ°è ¨sÁUÁPÁgÀ PÀæªÀÄzÀ

CUÀvÀåvÉAiÀÄ£ÀÄß ªÀÄ£ÀUÁtĪÀgÀÄ;

2.zÀvÀÛ ¸ÀASÉåAiÀÄ ªÀUÀðªÀÄÆ®ªÀ£ÀÄß CxÀð ªÀiÁrPÉƼÀÄîªÀgÀÄ

ªÀÄvÀÄÛ PÀAqÀÄ»rAiÀÄĪÀgÀÄ.

1.2ªÁ¸ÀÛªÀ ¸ÀASÉåUÀ¼ÀÄ

1.ªÁ¸ÀÛªÀ ¸ÀASÉåUÀ¼À ªÀÄÆ® UÀÄtUÀ¼À£ÀÄß ¥Àj²Ã°¸ÀĪÀgÀÄ;

2.¨sÁdå ªÀÄvÀÄÛ C«¨sÁdå ¸ÀASÉåUÀ¼À£ÀÄß ºÉÆð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

ªÀåvÁå¸ÀUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ.

1.3AiÀÄÆQèqï£À ¹zÁÞAvÀ ¥ÀæweÉÕ

CAPÀUÀtÂvÀzÀ ªÀÄÆ® ¥ÀæªÉÄÃAiÀÄ.

gÀ C«¨sÁdåvÉ.

1.AiÀÄÆQèqï£À ¹zÁÞAvÀ ¥ÀæweÉÕ ªÀÄvÀÄÛ CAPÀUÀtÂvÀzÀ ªÀÄÆ®

¥ÀæªÉÄÃAiÀÄzÀ §UÉÎ w½ªÀ½PÉAiÀÄ£ÀÄß ¨É¼É¹PÉƼÀÄîªÀgÀÄ;

2.UÀtÂvÀzÀ ««zsÀ PÀ®à£ÉUÀ¼À£ÀÄß ¸Á¢ü¸À®Ä eÁÕ£ÀªÀ£ÀÄß

§¼À¸ÀĪÀgÀÄ;

UÀ¼ÀÄ C«¨sÁdå ¸ÀASÉåUÀ¼ÀÄ JA§ÄzÀ£ÀÄß ¸Á¢ü¸ÀĪÀgÀÄ(¤gÁPÀgÀuÉ/¥ÀæwµÉÃzsÀ «zsÁ£À¢AzÀ)

«µÀAiÀÄ 2: ±ÉæÃtÂUÀ¼ÀÄ

2.1 ¸ÀªÀiÁAvÀgÀ ±ÉæÃtÂUÀ¼ÀÄ 1. ±ÉæÃr, ¸ÀªÀiÁAvÀgÀ ±ÉæÃr, ±ÉæÃt ªÀÄvÀÄÛ ¸ÀªÀiÁAvÀgÀ ±ÉæÃtÂ

ºÁUÀÆ ¸ÁªÀiÁ£Àå ªÀåvÁå¸ÀUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼À CxÀðªÀ£ÀÄß

CjAiÀÄĪÀgÀÄ.

2. ¸ÀªÀiÁAvÀgÀ ±ÉæÃtÂAiÀÄ ‘n’ ¥ÀzÀzÀ ªÀÄvÀÄÛ ªÉÆvÀÛzÀ

gÉÃSÁ £ÀPÉëAiÀÄ£ÀÄß gÀa¸ÀĪÀÅzÀÄ.

6.2 CªÀVÃðPÀÈvÀ ªÀÄvÀÄÛ

ªÀVÃðPÀÈvÀ zÀvÁÛA±ÀUÀ½UÉ ¸ÀgÁ¸Àj,

ªÀÄzsÁåAPÀ ªÀÄvÀÄÛ §ºÀÄ®PÀUÀ¼À£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀÅzÀÄ.

1. PÉÃA¢æÃAiÀÄ ¥ÀæªÀÈwÛ C¼ÀvÉUÀ¼ÁzÀ ¸ÀgÁ¸Àj, ªÀÄzsÁåAPÀ ªÀÄvÀÄÛ §ºÀÄ®PÀ EªÀÅUÀ¼À£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ, §¼À¸ÀĪÀgÀÄ ªÀÄvÀÄÛ «±Éèö¸ÀĪÀgÀÄ;

2. ªÀVÃðPÀÈvÀ ªÀÄvÀÄÛ CªÀVÃðPÀÈvÀ zÀvÁÛA±ÀUÀ½UÉ ¸ÀgÁ¸Àj, ªÀÄzsÁåAPÀ ªÀÄvÀÄÛ §ºÀÄ®PÀUÀ¼À£ÀÄß

¯ÉPÁÌZÁgÀ ªÀiÁqÀĪÀgÀÄ.

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¸ÀÆvÀæUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

3. ¸ÀªÀiÁAvÀgÀ ±ÉæÃtÂAiÀÄ£ÀÄß DzsÀj¹zÀ C£ÀéAiÀÄ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

©r¸ÀĪÀgÀÄ

2.2 UÀÄuÉÆÃvÀÛgÀ ±ÉæÃtÂUÀ¼ÀÄ 1. UÀÄuÉÆÃvÀÛgÀ ±ÉæÃr ªÀÄvÀÄÛ UÀÄuÉÆÃvÀÛgÀ ±ÉæÃt ºÁUÀÆ

¸ÁªÀiÁ£Àå C£ÀÄ¥ÁvÀUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼À CxÀðªÀ£ÀÄß

CjAiÀÄĪÀgÀÄ.

2. UÀÄuÉÆÃvÀÛgÀ ±ÉæÃtÂAiÀÄ ‘n’ ¥ÀzÀzÀ ªÀÄvÀÄÛ ªÉÆvÀÛzÀ

¸ÀÆvÀæUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

3. UÀÄuÉÆÃvÀÛgÀ ±ÉæÃtÂAiÀÄ£ÀÄß DzsÀj¹zÀ C£ÀéAiÀÄ

¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ

2.3 ºÀgÁvÀäPÀ ±ÉæÃtÂUÀ¼ÀÄ 1. ºÀgÁvÀäPÀ ±ÉæÃr ªÀÄvÀÄÛ ºÀgÁvÀäPÀ ±ÉæÃt ºÁUÀÆ

¸ÁªÀiÁ£Àå C£ÀÄ¥ÁvÀUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼À CxÀðªÀ£ÀÄß

CjAiÀÄĪÀgÀÄ.

2. ºÀgÁvÀäPÀ ±ÉæÃtÂAiÀÄ ‘n’ ¥ÀzÀzÀ ªÀÄvÀÄÛ ªÉÆvÀÛzÀ

¸ÀÆvÀæUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ

3. ºÀgÁvÀäPÀ ±ÉæÃtÂAiÀÄ£ÀÄß DzsÀj¹zÀ C£ÀéAiÀÄ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

©r¸ÀĪÀgÀÄ

2.4 ¸ÀªÀiÁAvÀgÀ ªÀiÁzsÀå,

UÀÄuÉÆÃvÀÛgÀ ªÀiÁzsÀå ªÀÄvÀÄÛ

ºÀgÁvÀäPÀ ªÀiÁzsÀåUÀ¼ÀÄ

1. ¸ÀªÀiÁAvÀgÀ ªÀiÁzsÀå, UÀÄuÉÆÃvÀÛgÀ ªÀiÁzsÀå ªÀÄvÀÄÛ

ºÀgÁvÀäPÀ ªÀiÁzsÀåUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼À£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ.

2. CªÀÅUÀ¼À £ÀqÀÄ«£À ¸ÀA§AzsÀªÀ£ÀÄß CjAiÀÄĪÀgÀÄ.

«µÀAiÀÄ 3: UÀtUÀ¼ÀÄ

3.1UÀt ªÀÄvÀÄÛ UÀt QæAiÉÄUÀ¼ÀÄ

1.UÀtUÀ¼À §UÉÎ w½ªÀ½PÉAiÀÄ£ÀÄß ¨É¼É¹PÉƼÀÄîªÀgÀÄ;

2.¸ÀAPÉÃvÀUÀ¼À£ÀÄß §¼À¹ UÀtQæAiÉÄUÀ¼À£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ;

3.ªÉ£ï £ÀPÉëUÀ¼À ªÀÄÆ®PÀ UÀtUÀ¼ÀÄ ªÀÄvÀÄÛ UÀtQæAiÉÄUÀ¼À£ÀÄß

¸ÀÆa¸ÀĪÀ P˱À®ªÀ£ÀÄß ¨É¼É¹PÉƼÀÄîªÀgÀÄ.

3.2UÀt QæAiÉÄUÀ¼À ®PÀëtUÀ¼ÀÄ

1.UÀt QæAiÉÄUÀ¼À£ÀÄß ¤ªÀð»¸ÀĪÀgÀÄ;

2.¥sÀ°vÁA±ÀUÀ¼À£ÀÄß ºÉÆð¹ ¤zsÁðgÀUÀ¼À£ÀÄß PÉÊUÉƼÀÄîªÀgÀÄ;

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3.UÀtUÀ¼À ¨sÁµÉAiÀÄ ªÀÄÆ®PÀ UÀtÂvÀzÀ PÀ®à£ÉUÀ¼À£ÀÄß

¸ÀAªÀ»¸ÀĪÀgÀÄ.

«µÀAiÀÄ 4: PÀgÀtÂUÀ¼ÀÄ

4.1PÀgÀt ªÀÄvÀÄÛ CzÀgÀ «zsÀUÀ¼ÀÄ

1.PÀgÀtÂUÀ¼ÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À «zsÀUÀ¼À£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ;

2.PÀgÀtÂUÀ¼À£ÀÄß MAzÀÄ gÀÆ¥À¢AzÀ ªÀÄvÉÆÛAzÀPÉÌ

¥ÀjªÀwð¸ÀĪÀgÀÄ.

4.2¸ÀASÁå gÉÃSÉAiÀÄ ªÉÄïÉ

UÀ¼À£ÀÄß ¸ÀÆa¸ÀĪÀÅzÀÄ.

1.C«¨sÁdå ¸ÀASÉåUÀ¼À£ÀÄß gÉÃSÁUÀtÂwÃAiÀĪÁV ¸ÀASÁågÉÃSÉAiÀÄ

ªÉÄÃ¯É ¸ÀÆa¸ÀĪÀgÀÄ;

¸ÀASÉåUÀ¼À£ÀÄß ¸ÀASÁågÉÃSÉAiÀÄ ªÉÄÃ¯É ¸ÀÆa¸À®Ä ¥ÉÊxÁUÉÆgÀ¸ï ¥ÀæªÉÄêÀ£ÀÄß §¼À¸ÀĪÀgÀÄ.

4.3PÀgÀtÂUÀ¼À ªÉÄð£À QæAiÉÄUÀ¼ÀÄ

1.PÀgÀtÂUÀ¼À£ÀÄß ¸ÀªÀÄgÀÆ¥ÀzÀ ªÀÄvÀÄÛ C¸ÀªÀÄgÀÆ¥ÀzÀ

PÀgÀtÂUÀ¼ÁV ªÀVÃðPÀj¸ÀĪÀgÀÄ;

2.PÀgÀtÂUÀ¼À ªÀÄÆ®QæAiÉÄUÀ¼À£ÀÄß ¤ªÀð»¸ÀĪÀgÀÄ;

3.PÀgÀtÂUÀ¼À£ÀÄß CPÀgÀtÂÃUÉƽ¸ÀĪÀÅzÀ£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ CPÀgÀtÂÃUÉƽ¸ÀĪÀgÀÄ.

«µÀAiÀÄ 5. ¸ÀASÁå±Á¸ÀÛç

5.1ºÀgÀ«£À C¼ÀvÉUÀ¼ÀÄ

1.PÉÆnÖgÀĪÀ zÀvÁÛA±ÀUÀ½UÉ ¸ÀgÁ¸Àj/ªÀÄzsÁåAPÀ/§ºÀÄ®PÀªÀ£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

2.zÀvÁÛA±ÀUÀ¼À C¼ÀvÉUÀ¼À CUÀvÀåvÉAiÀÄ£ÀÄß ªÀÄ£ÀUÁtĪÀgÀÄ

ªÀÄvÀÄÛ «±Éèö¸ÀĪÀgÀÄ;

3.ºÀgÀ«£À ««zsÀ C¼ÀvÉUÀ¼À£ÀÄß ¯ÉPÁÌZÁgÀ ªÀiÁqÀĪÀgÀÄ;

4.ºÀgÀ«£À ¥Àæw C¼ÀvÉAiÀÄ£ÀÄß ºÉÆð¹ ¥ÀæwAiÉÆAzÀgÀ UÀÄt

ªÀÄvÀÄÛ CªÀUÀÄtUÀ¼À §UÉÎ wêÀiÁð£ÀUÀ¼À£ÀÄß PÉÊUÉƼÀÄîªÀgÀÄ.

1.PÉÆnÖgÀĪÀ zÀvÁA±ÀUÀ½UÉ ªÀiÁ£ÀPÀ «ZÀ®£ÉAiÀÄ£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

2.ºÀgÀ«£À CvÀÄåvÀÛªÀÄ C¼ÀvÉAiÀÄ §UÉUÉ wêÀiÁð£ÀªÀ£ÀÄß

PÉÊUÉƼÀÄîªÀgÀÄ;

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5.2D¯ÉÃRUÀ¼À°è ¸ÀÆa¸ÀĪÀÅzÀÄ 1.¸ÀÆPÀÛ ¥ÀæªÀiÁtUÀ¼À£ÀÄß §¼À¹, PÉÆnÖgÀĪÀ zÀvÁÛA±ÀUÀ¼À£ÀÄß

DAiÀÄvÀ avÀæ, ss¸ÀAavÀ DªÀÈwÛ ªÀPÀægÉÃSÉ ªÀÄvÀÄÛ DªÀÈwÛ

§ºÀĨsÀÄeÁPÀÈwUÀ¼À°è ¸ÀÆa¸ÀĪÀgÀÄ

2.zÀvÁÛA±ÀUÀ¼À UÀt ªÀÄvÀÄÛ CªÀÅUÀ¼À D¯ÉÃRUÀ¼À ¸ÀA§AzsÀªÀ£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ ªÀÄvÀÄÛ ZÀað¸ÀĪÀgÀÄ

3.MAzÉà zÀvÁÛA±ÀªÀ£ÀÄß ¸ÀÆa¸ÀĪÀ ««zsÀ D¯ÉÃRUÀ¼À£ÀÄß

ºÉÆð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ CªÀÅ ºÉÃUÉ «©ü£ÀߪÁVzÉ JA§ÄzÀ£ÀÄß

ªÀiÁ¥À£À ªÀiÁqÀĪÀgÀÄ.

1.zÀvÁÛA±ÀUÀ¼À£ÀÄß ¥ÉÊ-£ÀPÉëAiÀÄ gÀÆ¥ÀzÀ°è ¸ÀÆa¸ÀĪÀgÀÄ.

5.3PÀæªÀÄ AiÉÆÃd£É ªÀÄvÀÄÛ «PÀ®à

1.JtÂPÉAiÀÄ vÀAvÀæªÁV PÀæªÀÄAiÉÆÃd£É ªÀÄvÀÄÛ «PÀ®àUÀ¼À §UÉÎ

w½ªÀ½PÉAiÀÄ£ÀÄß ¨É¼É¹PÉƼÀÄîªÀgÀÄ;

2.PÀæªÀÄAiÉÆÃd£É ªÀÄvÀÄÛ «PÀ®àUÀ¼À ¥ÀjPÀ®à£ÉUÀ¼À£ÀÄß

ºÉÆð¹ ªÀåvÁå¸ÀUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ.

5.4¸ÀA¨sÀªÀ¤ÃAiÀÄvÉ

1. AiÀiÁzÀÈaÒPÀ ¥ÀæAiÉÆÃUÀzÀ CxÀðªÀ£ÀÄß w½zÀÄPÉƼÀÄîªÀgÀÄ.

2. MAzÀÄ WÀl£ÉAiÀÄÄ ¸ÀA¨sÀ«¸ÀĪÀ ¸ÁzsÀåvÉAiÀÄ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß

CjAiÀÄĪÀgÀÄ.

1) ¥ÀjºÁgÀ UÀtzÀ ¥ÀjPÀ®à£ÉAiÀÄ£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ

ªÀÄvÀÄÛ CªÀÅUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ;

2) MAzÀÄ WÀl£ÉAiÀÄ ¸ÀA¨sÀªÀ¤ÃAiÀÄvÉAiÀÄ£ÀÄß ºÉÃUÉ ¯ÉPÁÌZÁgÀ

ªÀiÁqÀ¨ÉÃPÀÄ JA§ÄzÀ£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ.

«µÀAiÀÄ 6. ªÁtÂdå UÀtÂvÀ

6.1¨ÁåAPï ªÀåªÀ¸ÉÜ

1.¥Á¸ï§ÄPï, ZÀ®£ï, ZÉPïUÀ¼ÀÄ ªÀÄvÀÄÛ ¨ÁåAPï qÁæ¥sïÖUÀ¼À

§UÉÎ ¥ÀjZÀAiÀÄ ªÀiÁrPÉƼÀÄîªÀgÀÄ;

2.¸ÀÆPÀÛªÁzÀ «zsÁ£ÀªÀ£ÀÄß §¼À¹, G½vÁAiÀÄ SÁvÉAiÀÄ°è£À

oÉêÀtÂUÉ §rØAiÀÄ£ÀÄß ¯ÉPÀÌ ªÀiÁqÀĪÀgÀÄ.

6.2ZÀPÀæ§rØ

1.¸ÀgÀ¼À §rØ ªÀÄvÀÄÛ ZÀPÀæ §rØUÀ¼À ªÀåvÁå¸ÀªÀ£ÀÄß

UÀÄwð¸ÀĪÀgÀÄ;

2.ZÀPÀæ§rØAiÀÄÄ ¯ÉPÁÌZÁgÀ ªÀiÁqÀĪÀgÀÄ;

3.ZÀPÀæ§rØAiÀÄ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀ ¸ÀÆvÀæªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ

6.3PÀAvÀÄ Rjâ

1.PÀAvÀÄ Rjâ ªÀÄvÀÄÛ PÀAvÀÄUÀ¼À ªÀåvÁå¸ÀªÀ£ÀÄß UÀÄwð¸ÀĪÀgÀÄ;

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2.PÀAvÀÄ RjâAiÀÄ°è ¸ÀªÀiÁ£À ªÀiÁ¹PÀ PÀAvÀÄ ªÀÄvÀÄÛ §rØAiÀÄ

zÀgÀªÀ£ÀÄß ¯ÉPÁÌZÁgÀ ªÀiÁqÀĪÀgÀÄ

6.4 ¸ÀªÀiÁ£ÀÄ¥ÁvÀ

1.C£ÀÄ¥ÁvÀzÀ CxÀð ªÀÄvÀÄÛ CzÀgÀ «zsÀUÀ¼À£ÀÄß w½AiÀÄĪÀgÀÄ;

2.C£ÀÄ¥ÁvÀªÀ£ÉÆß¼ÀUÉÆAqÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß ©r À̧ĪÀ «zsÁ£ÀªÀ£ÀÄß

«ªÀj¸ÀĪÀgÀÄ;

«µÀAiÀÄ 7. ©ÃeÉÆÃQÛUÀ¼À ªÉÄð£À QæAiÉÄUÀ¼ÀÄ

7.1UÀÄuÁPÁgÀ

1.©Ãd¥ÀzÀUÀ¼À UÀÄt®§ÞªÀ£ÀÄß PÀAqÀÄ»rAiÀÄ®Ä ¸ÀÆPÀÛªÁzÀ

¸ÀÆvÀæUÀ¼À£ÀÄß G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ;

2.zÉÆqÀØ ¸ÀASÉåUÀ¼À UÀÄt®§ÞªÀ£ÀÄß PÀAqÀÄ»rAiÀÄ®Ä vÀªÀÄä

eÁÕ£ÀªÀ£ÀÄß G¥ÀAiÉÆÃV¸ÀĪÀgÀÄ.

7.2C¥ÀªÀwð¸ÀÄ«PÉ

1.¸ÀÆPÀÛ «zsÁ£ÀUÀ¼À£ÀÄß §¼À¹ ©ÃeÉÆÃQÛUÀ¼À£ÀÄß

C¥ÀªÀwð¸ÀĪÀgÀÄ.

7.3 ¨sÁUÁPÁgÀ

1.MAzÀÄ ©ÃeÉÆÃQÛ¬ÄAzÀ ªÀÄvÉÆÛAzÀ£ÀÄß ¨sÁV¹ ¨sÁUÀ®§Þ

ªÀÄvÀÄÛ ±ÉõÀªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ;

2.¨sÁUÁPÁgÀzÀ ¥sÀ°vÁA±ÀUÀ¼À£ÀÄß vÁ¼É £ÉÆÃqÀĪÀgÀÄ.

1.MAzÀÄ §ºÀÄ¥ÀzÉÆÃQÛAiÀÄ£Àß ªÀÄvÉÆÛAzÀÄ

§ºÀÄ¥ÀzÉÆÃQÛ¬ÄAzÀ ¨sÁV¸ÀĪÀgÀÄ(¹AxÀnPï r«±À£ï)

2.¨sÁUÁPÁgÀ¢AzÀ ±ÉõÀªÀ£ÀÄß ¥ÀqÉzÀÄ, £ÉÊd ¨sÁPÁPÁgÀ

PÀæªÀÄ¢AzÀ ¥Àj²Ã°¸ÀĪÀgÀÄ.

7.4©ÃeÉÆÃQÛUÀ¼À ªÀĺÀvÀÛªÀÄ

¸ÁªÀiÁ£Àå C¥ÀªÀvÀð£À ªÀÄvÀÄÛ

®WÀÄvÀÛªÀÄ ¸ÁªÀiÁ£Àå C¥ÀªÀvÀð£À

1.C¥ÀªÀvÀð£ÀUÀ¼À£ÀÄß ¥ÀnÖªÀiÁr, ªÀĺÀvÀÛªÀÄ ¸ÁªÀiÁ£Àå

C¥ÀªÀvÀð£ÀªÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

2. zÀvÀÛ ©ÃeÉÆÃQÛUÀ½UÉ ®WÀÄvÀÛªÀÄ ¸ÁªÀiÁ£Àå

C¥ÀªÀvÀð£ÀªÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ.

«µÀAiÀÄ 8. ¸À«ÄÃPÀgÀtUÀ¼ÀÄ

8.1 KPÀPÁ°PÀ ¸ÀgÀ¼À

¸À«ÄÃPÀgÀtUÀ¼ÀÄ.

1.JgÀqÀÄ KPÀPÁ°PÀ ¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß ©r¹, ¥ÀjºÁgÀ

PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

2.D¯ÉÃRUÀ¼À ªÀÄÆ®PÀ ¸ÀgÀ¼À ¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ.

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8.2 ªÀUÀð¸À«ÄÃPÀgÀtUÀ¼ÀÄ 1.ªÀUÀð¸À«ÄÃPÀgÀtzÀ CxÀð ªÀÄvÀÄÛ CªÀÅUÀ¼À «zsÀUÀ¼À£ÀÄß

CxÀð w½AiÀÄĪÀgÀÄ;

2.««zsÀ «zsÁ£ÀUÀ½AzÀ ªÀUÀð¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß ©r¸ÀĪÀgÀÄ;

3.C¥ÀªÀvÀð£À «zsÁ£ÀzÀ «ÄwUÀ¼À£ÀÄß ¤zsÀðj¸ÀĪÀgÀÄ;

4.ªÀUÀð¸À«ÄÃPÀgÀtzÀ ªÀÄÆ®UÀ¼À£ÀÄß PÀAqÀÄ»rAiÀÄĪÀ

¸ÀÆvÀæªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ;

5.±ÉÆÃzsÀPÀzÀ ªÀiË®å¢AzÀ ªÀÄÆ®UÀ¼À ¸Àé¨sÁªÀzÀ §UÉÎ

wêÀiÁð£ÀUÀ¼À£ÀÄß PÉÊUÉƼÀÄîªÀgÀÄ.

«µÀAiÀÄ 9: ªÀiÁ¥ÀÄð

9.1 ªÀiÁ¥ÀÄð – ªÀiÁ¦ð£À

«zsÀUÀ¼ÀÄ.

1.ªÀiÁ¦ð£À CxÀð, CzÀgÀ «zsÀUÀ¼À£ÀÄß CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ

ªÀÄvÀÄÛ «ªÀj¸ÀĪÀgÀÄ;

2.£ÉÃgÀ ªÀÄvÀÄÛ ¸ÀAAiÀÄÄPÀÛ ªÀiÁ¥ÀÄðUÀ¼À£ÀÄß M¼ÀUÉÆAqÀ

¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¹ ©r¸ÀĪÀgÀÄ.

«µÀAiÀÄ 10: §ºÀĨsÀÄeÁPÀÈwUÀ¼ÀÄ

10.1 §ºÀĨsÀÄeÁPÀÈwUÀ¼ÀÄ

ªÀÄvÀÄÛ CªÀÅUÀ¼À «zsÀUÀ¼ÀÄ.

1.§ºÀĨsÀÄeÁPÀÈwUÀ¼ÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À «zsÀUÀ¼À£ÀÄß

CxÀðªÀiÁrPÉƼÀÄîªÀgÀÄ;

2.§ºÀĨsÀÄeÁPÀÈwUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ ªÀÄvÀÄÛ

ªÀVÃðPÀj¸ÀĪÀgÀÄ;

3.zÀvÀÛ ¨ÁºÀÄUÀ¼À §ºÀĨsÀÄeÁPÀÈwUÀ¼À£ÀÄß CAvÀgÀæa¸ÀĪÀgÀÄ;

4.««zsÀ jÃwAiÀÄ ZÀvÀĨsÀÄðdUÀ¼À£ÀÄß ªÀÄvÀÄÛ CªÀÅUÀ¼À

®PÀëtUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ;

5.¸ÀÆPÀÛªÁzÀ ¸ÀÆvÀæªÀ£ÀÄß G¥ÀAiÉÆÃV¹PÉÆAqÀÄ ZÀvÀĨsÀÄðdUÀ¼À

PÉëÃvÀæ¥sÀ®UÀ¼À£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

6.zÀvÀÛ C¼ÀvÉUÀ£ÀÄUÀÄtªÁV ZÀvÀĨsÀÄðdUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ;

7.¸ÀªÀiÁ£ÁAvÀgÀ ZÀvÀĨsÀÄðdUÀ½UÉ ¸ÀA§A¢ü¹zÀ

¥ÀæªÉÄÃAiÀÄUÀ¼À£ÀÄß «±Éèö¹, vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

«µÀAiÀÄ 11: wæ¨sÀÄdzÀ°è KPÁ©üªÀÄÄRªÁV ¸ÀA¢ü¸ÀĪÀ gÉÃSÉUÀ¼ÀÄ

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ªÀÄzsÀågÉÃSÉUÀ¼ÀÄ,

JvÀÛgÀUÀ¼ÀÄ,

®A¨ÁzsÀðPÀUÀ¼ÀÄ

PÉÆãÁzsÀðPÀUÀ¼ÀÄ

1.KPÁ©üªÀÄÄR gÉÃSÉUÀ¼À CxÀðªÀ£ÀÄß w½AiÀÄĪÀgÀÄ;

2.MAzÀÄ wæ¨sÀÄdzÀ°è ¸ÁzsÀåªÁUÀĪÀ ««zsÀ KPÁ©üªÀÄÄRªÁV

¸ÀA¢ü¸ÀĪÀ gÉÃSÉUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ;

3.gÀZÀ£ÉUÀ¼À ªÀÄÆ®PÀ KPÁ©üªÀÄÄRªÁV ¸ÀA¢ü¸ÀĪÀ gÉÃSÉUÀ¼À

UÀÄt®PÀëtUÀ¼À£ÀÄß ¥Àj²Ã°¸ÀĪÀgÀÄ.

4. wæ¨sÀÄdzÀ°è KQ¨sÀªÀ£À gÉÃSÉUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ

5. KQ¨sÀªÀ£À gÉÃSÉUÀ¼À UÀÄt®PÀëtUÀ¼À£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV

vÁ¼É £ÉÆÃqÀĪÀgÀÄ.

«µÀAiÀÄ 12: ¸ÀªÀÄgÀÆ¥À wæ¨sÀÄdUÀ¼ÀÄ

12.1ªÀÄÆ® ¸ÀªÀiÁ£ÀÄ¥ÁvÀvÉAiÀÄ

¥ÀæªÉÄÃAiÀÄ

1. ªÀÄÆ® ¸ÀªÀiÁ£ÀÄ¥ÁvÀvÉÃAiÀÄ ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß ¤gÀƦ¹

vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ;

2. G¥À¹zÁÞAvÀUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ.

3. ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß CzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß «±Éèö¸ÀĪÀgÀÄ

ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

12.2wæ¨sÀÄdUÀ¼À

¸ÀªÀÄgÀÆ¥ÀvÉAiÀÄ£ÁßzsÀj¹zÀ

¥ÀæªÉÄÃAiÀÄUÀ¼ÀÄ.

1.¸ÀªÀÄgÀÆ¥À avÀæUÀ¼ÀÄ ªÀÄvÀÄÛ CªÀÅUÀ¼À ¸ÀA§A¢ü¹zÀ

CA±ÀUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ;

2. ¸ÀªÀÄgÀÆ¥À wæ¨sÀÄdUÀ¼À ¥ÀæAiÉÄêÀÄAiÀÄUÀ¼À£ÀÄß ¤gÀƦ¹

vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

3. ¥ÀæªÉÄÃAiÀÄUÀ¼À£ÀÄß CzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

«±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

12.3¥ÉÊxÁUÉÆgÀ¸ï£À ¥ÀæªÉÄÃAiÀÄ

1.MAzÀÄ ®A§PÉÆãÀ wæ¨sÀÄdzÀ°è£À ¨ÁºÀÄUÀ¼À

¸ÀA§AzsÀªÀ£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ.

2. ¥ÉÊxÁUÉÆgÀ¸ï£À ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ. 3. ¥ÀæªÉÄÃAiÀÄzÀ «¯ÉÆêÀĪÀ£ÀÄß «±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

¤gÀƦ¸ÀĪÀgÀÄ.

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4. ¥ÉÊxÁUÉÆgÀ¸ï ¥ÀæªÉÄÃAiÀĪÀ£ÀÄß DzsÀj¹zÀ ¸ÀªÀĸÉåUÀ¼À£ÀÄß

«±Éèö¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

«µÀAiÀÄ 13. ªÀÈvÀÛUÀ¼ÀÄ

13.1 ªÀÈvÀÛPÉÌ ¸ÀA§A¢ü¹zÀ

¥ÀzÀUÀ¼ÀÄ

1.ªÀÈvÀÛPÉÌ ¸ÀA§A¢ü¹zÀ ¥ÀzÀUÀ¼À£ÀÄß UÀÄwð¸ÀĪÀgÀÄ,

¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ GzÁºÀgÀuÉUÀ¼À£ÀÄß ¤ÃqÀĪÀgÀÄ.

13.2 ªÀÈvÀÛzÀ eÁåzÀ UÀÄtUÀ¼ÀÄ

1.eÁåzÀ UÀÄt®PÀëtUÀ¼À£ÀÄß DzsÀj¹zÀ ¥ÀæªÉÄÃAiÀÄUÀ¼À£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV ¸Á¢ü¸ÀĪÀgÀÄ.

1.eÁåzÀ UÀÄt®PÀëtUÀ¼À£ÀÄß ¥Àj²Ã°¸ÀĪÀgÀÄ ªÀÄvÀÄÛ

gÀa¸ÀĪÀgÀÄ.

13.3 ªÀÈvÀÛzÀ°è£À PÉÆãÀzÀ

UÀÄtUÀ¼ÀÄ

1.ªÀÈvÀÛzÀ°è£À PÉÆãÀzÀ UÀÄtUÀ½UÉ ¸ÀA§A¢ü¹zÀ

¥ÀæªÉÄÃAiÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV

¸Á¢ü¸ÀĪÀgÀÄ.

1.gÀZÀ£ÉAiÀÄ ªÀÄÆ®PÀ UÀÄt®PÀëtUÀ¼À£ÀÄß ¥Àj²Ã°¸ÀĪÀgÀÄ.

13.4 ZÀQæÃAiÀÄ ZÀvÀĨsÀÄðUÀ¼ÀÄ

1.ZÀQæÃAiÀÄ ZÀvÀĨsÀÄðdzÀ CxÀð ªÀÄvÀÄÛ ®PÀëtUÀ¼À£ÀÄß

w½AiÀÄĪÀgÀÄ;

2.¥ÀæªÉÄÃAiÀĪÀ£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV

¸Á¢ü¸ÀĪÀgÀÄ.

13.5 ªÀÈvÀÛzÀ ¸Àà±ÀðPÀUÀ¼ÀÄ

1.¸Àà±ÀðPÀzÀ CxÀðªÀ£ÀÄß w½AiÀÄĪÀgÀÄ;

2.zÀvÀÛ ªÀÈvÀÛPÉÌ ¸ÀàµÀðPÀUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ;

3.JgÀqÀÄ ªÀÈvÀÛUÀ½UÉ ¸ÁªÀiÁ£Àå ¸Àà±ÀðPÀUÀ¼À£ÀÄß gÀa¸ÀĪÀgÀÄ.

13.6 ¸Àà²ð¸ÀĪÀ ªÀÈvÀÛUÀ¼ÀÄ

1.JgÀqÀÄ ªÀÈvÀÛUÀ¼ÀÄ ¸Àà²ð¸À®Ä CUÀvÀåªÁzÀ ¤§AzsÀ£ÉAiÀÄ£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ;

2.¥ÀæªÉÄÃAiÀÄUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ ªÀÄvÀÄÛ vÁQðPÀªÁV

¸Á¢ü¸ÀĪÀgÀÄ.

«µÀAiÀÄ 14. PÉëÃvÀæUÀtÂvÀ

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14.1 WÀ£ÀUÀ¼À ªÉÄïÉäöÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®

* ¥ÀlÖPÀ

* ¦gÀ«Äqï

* ¸ÀÛA¨sÁPÀÈw

* ±ÀARÄ

* ±ÀARÄ«£À c£ÀßPÀ

* JgÀqÀÄ ªÀÄÄRUÀ½AzÀ

ªÀiÁqÀ®ànÖgÀĪÀ ªÀ¸ÀÄÛUÀ¼ÀÄ

1.¥ÀlÖPÀ ªÀÄvÀÄÛ ¦gÀ«ÄqÀÄØUÀ¼À UÀÄt®PÀëtUÀ¼À£ÀÄß

¥ÀnÖªÀiÁqÀĪÀgÀÄ;

2.CªÀÅUÀ¼À UÀÄtUÀ¼À£ÀÄß ºÉÆð¸ÀĪÀgÀÄ ªÀÄvÀÄÛ ªÀåvÁå¸ÀUÀ¼À£ÀÄß

UÀÄwð¸ÀĪÀgÀÄ;

3.¥ÀlÖPÀ ªÀÄvÀÄÛ ¦gÀ«ÄqÀÄØUÀ¼À ªÉÄïÉäöÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ

WÀ£À¥sÀ®UÀ¼À£ÀÄß ¯ÉPÀÌ ªÀiÁqÀĪÀgÀÄ;

4.JgÀqÀÄ WÀ£ÀUÀ½AzÀ ªÀiÁqÀ®ànÖgÀĪÀ DPÀÈwUÀ¼À ªÉÄïÉäöÊ

PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®ªÀ£ÀÄß PÀAqÀÄ»rAiÀÄ®Ä eÁÕ£ÀªÀ£ÀÄß

C£Àé¬Ä¸ÀĪÀgÀÄ.

1.¸ÀÛA¨sÁPÀÈw, ±ÀARÄ ªÀÄvÀÄÛ UÉÆîUÀ¼À UÀÄt®PÀëtUÀ¼À£ÀÄß

¥ÀvÉÛºÀZÀÄѪÀgÀÄ;

2.ªÉÄïÉäöÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ WÀ£À¥sÀ®UÀ¼À£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

3.WÀ£ÀUÀ¼À ¸ÀAAiÉÆÃUÀUÀ½UÉ ªÉÄïÉäöÊ PÉëÃvÀæ¥sÀ® ªÀÄvÀÄÛ

WÀ£À¥sÀ®UÀ¼À£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ.

14.2 C¤AiÀÄ«ÄvÀ DPÁgÀUÀ¼À

¥ÀæªÀiÁt £ÀPÉë.

1.C¤AiÀÄvÀ DPÁgÀUÀ¼À ¥ÀæªÀiÁt avÀæUÀ¼À£ÀÄß J¼ÉAiÀÄĪÀgÀÄ;

2.avÀæªÀ£ÀÄß gÀa¹gÀĪÀ ¥ÀæªÀiÁtPÉÌ ¸ÀÆPÀÛªÁzÀ C¼ÀvÉAiÀÄ£ÀÄß

¤zsÀðj¸ÀĪÀgÀÄ.

«µÀAiÀÄ 15: WÀ£ÁPÀÈw ªÀÄvÀÄÛ eÁ®UÀ¼ÀÄ

15.1 WÀ£ÁPÀÈwUÀ¼ÀÄ

1.§ºÀĨsÀÄeÁPÀÈwUÀ¼À ®PÀëtUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ;

2.§ºÀĨsÀÄeÁPÀÈwUÀ¼À ªÀÄÄRUÀ¼ÀÄ, ±ÀÈAUÀUÀ¼ÀÄ ªÀÄvÀÄÛ

CAZÀÄUÀ¼À ¸ÀASÉåUÀ¼À ¸ÀA§AzsÀªÀ£ÀÄß ¸Áܦ¸ÀĪÀgÀÄ;

3.§ºÀĨsÀÄeÁPÀÈwUÀ½UÉ DAiÀÄègÀ£À ¸ÀÆvÀæªÀ£ÀÄß

¥Àj²Ã°¸ÀĪÀgÀÄ.

15.2 eÁ®UÀ¼ÀÄ

1.ªÀ®AiÀÄUÀ¼ÀÄ, ¸ÀA¥ÁvÀ ©AzÀÄUÀ¼ÀÄ ªÀÄvÀÄÛ eÁ®zÀ

PÀA¸ÀUÀ¼À£ÀÄß ¥ÀvÉÛºÀZÀÄѪÀgÀÄ;

2.eÁ®UÀ½UÉ DAiÀÄègÀ£À ¸ÀÆvÀæªÀ£ÀÄß ¥Àj²Ã°¸ÀĪÀgÀÄ;

3.¥ÁgÀªÁºÀPÀ eÁ®UÀ½UÉ CUÀvÀåªÁzÀ ¤§AzsÀ£ÉAiÀÄ£ÀÄß

¤gÀƦ¸ÀĪÀgÀÄ.

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«µÀAiÀÄ 16: ¤zÉÃð±ÁAPÀ/ZÀvÀÄxÁðAPÀ gÉÃSÁUÀtÂvÀ

16.1 gÉÃTÃAiÀÄ ¸À«ÄÃPÀgÀtUÀ¼À ¸Àà±ÀðPÀ

1) ‘MAzÀÄ gÉÃSÉAiÀÄ E½eÁgÀÄ’«£À CxÀðªÀ£ÀÄß w½AiÀÄĪÀgÀÄ

ªÀÄvÀÄÛ CzÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ;

2) E½eÁgÀÄ«£À°è DUÀĪÀ §zÀ¯ÁªÀuÉUÀ¼À£ÀÄß

¤zsÀðj¸ÀĪÀgÀÄ.

16.2gÉÃSÁ ¸À«ÄÃPÀgÀt

1.¸Àà±ÀðPÀ – CAvÀBbÉÃzÀ gÀÆ¥ÀzÀ°è£À gÉÃSÉAiÀÄ

¸À«ÄÃPÀgÀtªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ;

2.gÉÃSÁUÀtÂvÀzÀ avÀæUÀ¼À£ÀÄß ©ÃdUÀtÂwÃAiÀĪÁV CPÀëUÀ¼À£ÀÄß

§¼À¹ ¸ÀÆa¸ÀĪÀgÀÄ.

16.3zÀÆgÀzÀ ¸ÀÆvÀæ

1.PÁnÃð¶AiÀÄ£ï ¸ÀªÀÄvÀ®zÀ°è JgÀqÀÄ ©AzÀÄUÀ¼À £ÀqÀÄ«£À

zÀÆgÀªÀ£ÀÄß PÀAqÀÄ»rAiÀÄĪÀ ¸ÀÆvÀæªÀ£ÀÄß ¥ÀqÉAiÀÄĪÀgÀÄ;

2.F ¸ÀA§AzsÀªÀ£ÀÄß G¥ÀAiÉÆÃV¹PÉÆAqÀÄ, ¨ÁºÀÄUÀ¼À

GzÀÝUÀ¼À£ÀÄß PÀAqÀÄ»rAiÀÄĪÀgÀÄ.

«µÀAiÀÄ 17: wæPÉÆãÀ«Äw±Á¸ÀÛç

17.1 wæPÉÆãÀ«ÄwAiÀÄ

C£ÀÄ¥ÁvÀUÀ¼ÀÄ ªÀÄvÀÄÛ ¸ÀÆvÀæUÀ¼ÀÄ

1. MAzÀÄ ®A§PÉÆãÀ wæ¨sÀÄdzÀ°è£À ®WÀÄPÉÆãÀPÉÌ

wæPÉÆãÀ«ÄwAiÀÄ C£ÀÄ¥ÁvÀUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ.

2. wæPÉÆãÀ«ÄwAiÀÄ C£ÀÄ¥ÁvÀzÀ ¨É¯ÉUÀ¼À£ÀÄß PÉ®ªÀÅ

¥ÀæªÀiÁtPÀ PÉÆãÀUÀ½UÉ ¸ÀA§A¢ü¹zÀªÀÄvÉ ¥ÀnÖªÀiÁqÀĪÀgÀÄ.

3. wæPÉÆãÀ«ÄwAiÀÄ ¤vÀå ¸À«ÄÃPÀgÀtUÀ¼À£ÀÄß ¤gÀƦ¸ÀĪÀgÀÄ.

4. ¥ÀÆgÀPÀ PÉÆãÀUÀ½UÉ wæPÉÆãÀ«Äw C£ÀÄ¥ÁvÀUÀ¼À£ÀÄß

¥ÀqÉAiÀÄĪÀgÀÄ.

17.2 G£ÀßvÀ PÉÆãÀ ªÀÄvÀÄÛ

CªÀ£Àw PÉÆãÀ

1.zÀvÀÛ ¸À£ÀߪÉñÀzÀ°è G£ÀßvÀ PÉÆãÀ ªÀÄvÀÄÛ CªÀ£Àw

PÉÆãÀªÀ£ÀÄß UÀÄwð¸ÀĪÀgÀÄ;

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2.G£ÀßvÀ PÉÆãÀ ªÀÄvÀÄÛ CªÀ£Àw PÉÆãÀzÀ ¨É¯ÉUÀ¼À£ÀÄß

G¥ÀAiÉÆÃV¹PÉÆAqÀÄ JvÀÛgÀ/zÀÆgÀUÀ¼À£ÀÄß

PÀAqÀÄ»rAiÀÄĪÀgÀÄ.