1-5 STANDARD TEACHER ‘S RECRUITMENT KARNATAKA 2015

Published by http://tet-online.blogspot.com/

SUBJECT : MATHEMATICS SYLLABUS

1 NUMBER SYSTEM

a) Place value

b) Expanded form

c) Basic operation

d) Simplification

e) Natural, whole, integer, rational,

irrational, and real numbers

f) Square and cubic numbers

g) Square and cube roots

h) Playing with numbers

i) HCF , LCM fundamental theorem of

arithmetic

2 SURDS

a) Definition

b) Basic operation

c) Simplification

d) Binomial surds

e) Rationalisation of surds

3 SETS

a) Properties

b) Types

c) Laws

d) Venn diagram

e) Cardinality of sets

4 PROGRESSIONS

a) Sequence and series

b) AP, GP and HP

c) Means

5 COMMERCIAL MATHEMATICS

a) Unitary method

b) Percentage

c) Profit and loss

d) Brokerage

e) Commission

f) Simple interest

g) Compound interest

h) Discount

i) Hire purchase and instalment

buying.

6 STATISTICS

a) Class interval and types

b) Graphical representation

c) Measurement of central tendency

d) Dispersion measures

e) Co - efficient of variation

7 PERMUTATION AND COMBINATION

a) Meaning

b) Formulae

c) Fundamental counting principle

d) Factorial notation

8 PROBABILITY

a) Meaning

b) Types

random experiments and events

c) Types of events

d) Addition rule

9 BASIC CONCEPTS OF ALGEBRA

a) Basic terms

b) Types of polynomials

c) Basic operations

d) Special products

e) Factorisation

f) Identities

g) Conditional identities

h) HCF and LCM

10 POLYNOMIALS

a) Meaning and types

b) Zeros of polynomials

c) Division algorithm

d) Remainder factor theorem

e) Synthetic division theorem

11 LINEAR EQUATIONS

a) Linear equations

b) Simultaneous linear equations

c) Different methods of solving

12 EXPONENTS

a) Laws

b) Problems

13 QUADRATIC EQUATION

a) Meaning and types

b) Different methods of solving

c) Descriminant

d) Sum and product of roots

e) Formation of quadratic equation

14

VARIATION

a) Meaning ant types

b) Problem based on variation

15 BASIC GEOMETRICAL IDEAS

a) Basic definitions

b) Axioms

c) Postulates

d) Statements

e) Theorems

16 TRIANGLES

a) Meaning

b) Types

c) Properties

d) Construction

e) Area and perimeter

f) Congruent and similar triangles

g) Concurrent lines(centroid, in centre,

circumcentre and ortho centre)

17 QUADRILATERALS

a) Meaning

b) Types

c) Properties

d) Construction

e) Area

f) Theorems

18 PLOYGONS

a) Meaning

b) Types

c) properties

d) Theorems

e) Constructions

f) Problems

19 CIRCLES

a) Definition

b) Terms and their meaning

c) Cyclic quadrilaterals

d) Chords and tangents

e) Theorems

f) Constructions

20 MENSURATION

a) Plane figures

b) Solid figures

c) LSA and TSA of solid figures

d) Volume of solid figures(cone, sphere,

cylinder, frustum of cone, prisms,

pyramids and combination of solids)

21 TRIGONOMETRY

a) Basic ratios

b) Identities

c) Standard angles

d) Complementary angles

e) Heights and distances

f) Problems

22 CO ORDINATE GEOMETRY

a) Ordered pair

b) Distance formula

c) Section formula

d) Slope

e) Equation of straight line

f) Slope intercept form

23 SYMMETERY

a) Definition

b) Line of symmetry

c) Point of symmetry

For more details click here or visit http://www.schooleducation.kar.nic.in/

Published by http://tet-online.blogspot.com/

SUBJECT : MATHEMATICS SYLLABUS

1 NUMBER SYSTEM

a) Place value

b) Expanded form

c) Basic operation

d) Simplification

e) Natural, whole, integer, rational,

irrational, and real numbers

f) Square and cubic numbers

g) Square and cube roots

h) Playing with numbers

i) HCF , LCM fundamental theorem of

arithmetic

2 SURDS

a) Definition

b) Basic operation

c) Simplification

d) Binomial surds

e) Rationalisation of surds

3 SETS

a) Properties

b) Types

c) Laws

d) Venn diagram

e) Cardinality of sets

4 PROGRESSIONS

a) Sequence and series

b) AP, GP and HP

c) Means

5 COMMERCIAL MATHEMATICS

a) Unitary method

b) Percentage

c) Profit and loss

d) Brokerage

e) Commission

f) Simple interest

g) Compound interest

h) Discount

i) Hire purchase and instalment

buying.

6 STATISTICS

a) Class interval and types

b) Graphical representation

c) Measurement of central tendency

d) Dispersion measures

e) Co - efficient of variation

7 PERMUTATION AND COMBINATION

a) Meaning

b) Formulae

c) Fundamental counting principle

d) Factorial notation

8 PROBABILITY

a) Meaning

b) Types

random experiments and events

c) Types of events

d) Addition rule

9 BASIC CONCEPTS OF ALGEBRA

a) Basic terms

b) Types of polynomials

c) Basic operations

d) Special products

e) Factorisation

f) Identities

g) Conditional identities

h) HCF and LCM

10 POLYNOMIALS

a) Meaning and types

b) Zeros of polynomials

c) Division algorithm

d) Remainder factor theorem

e) Synthetic division theorem

11 LINEAR EQUATIONS

a) Linear equations

b) Simultaneous linear equations

c) Different methods of solving

12 EXPONENTS

a) Laws

b) Problems

13 QUADRATIC EQUATION

a) Meaning and types

b) Different methods of solving

c) Descriminant

d) Sum and product of roots

e) Formation of quadratic equation

14

VARIATION

a) Meaning ant types

b) Problem based on variation

15 BASIC GEOMETRICAL IDEAS

a) Basic definitions

b) Axioms

c) Postulates

d) Statements

e) Theorems

16 TRIANGLES

a) Meaning

b) Types

c) Properties

d) Construction

e) Area and perimeter

f) Congruent and similar triangles

g) Concurrent lines(centroid, in centre,

circumcentre and ortho centre)

17 QUADRILATERALS

a) Meaning

b) Types

c) Properties

d) Construction

e) Area

f) Theorems

18 PLOYGONS

a) Meaning

b) Types

c) properties

d) Theorems

e) Constructions

f) Problems

19 CIRCLES

a) Definition

b) Terms and their meaning

c) Cyclic quadrilaterals

d) Chords and tangents

e) Theorems

f) Constructions

20 MENSURATION

a) Plane figures

b) Solid figures

c) LSA and TSA of solid figures

d) Volume of solid figures(cone, sphere,

cylinder, frustum of cone, prisms,

pyramids and combination of solids)

21 TRIGONOMETRY

a) Basic ratios

b) Identities

c) Standard angles

d) Complementary angles

e) Heights and distances

f) Problems

22 CO ORDINATE GEOMETRY

a) Ordered pair

b) Distance formula

c) Section formula

d) Slope

e) Equation of straight line

f) Slope intercept form

23 SYMMETERY

a) Definition

b) Line of symmetry

c) Point of symmetry

For more details click here or visit http://www.schooleducation.kar.nic.in/

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