MATHEMATICS SYLLABUS FOR 1-5 TEACHERS RECRUITMENT KARNATAKA

1-5 STANDARD TEACHER ‘S RECRUITMENT KARNATAKA 2015
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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

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