Contents
AP DSC SA Maths (గణితం) Syllabus in Telugu PDF
AP DSC SA Maths Syllabus 2022: AP DSC Syllabus is available here. Candidates can get the complete information regarding AP DSC TET cum TRT Syllabus and Exam pattern on this page. AP DSC recently released the recruitment notification for AP DSC School Assistant Exam on its Official website. A huge number of Candidates are applying for the recruitment and the candidates are in Exam Preparation. so all the candidates who are preparing for AP DSC exams are requested to download the Exam syllabus PDF for Free. There is no need to pay for the Download.
AP DSC SA Maths 2022 Syllabus PDF
Name of the Organization  Commissioner of School Education, Government of Andhra Pradesh 
Post Name  School Assistants, Language Pandits, Secondary Grade Teachers, Physical Education Teachers 
Category  Syllabus 
Selection Process  Written Test 
Location  Andhra Pradesh 
Official Site  aptet.apcfss.in 
AP DSC SA Maths Exam Pattern PDF
Candidates can download the AP DSC Syllabus on this page. AP DSC examination to fill the vacancies, the government is going to conduct a written examination to select the Candidates for these posts. So here on this page, the candidates can get the AP DSC Written Examination Syllabus Completely. Candidates also refer to our website jobsbadi.com to get complete information about AP DSC’s latest Notification Updates.
Sl.no  Name of the Subject  Marks 
1  Gk and Current Affairs  10 Marks 
2  Perspectives of Education  05 Marks 
3  Classroom implications Educational Psychology  05 Marks 
4  Content  44 Marks 
5  Methodology  16 Marks 
6  Total  80 Marks 
AP DSC SA Maths Syllabus 2022 PDF Download Here

Arithmetic
Ratio and Proportion – Applications of Ratio Comparing Quantities using proportion – Direct and Inverse proportion
2. Number System
Knowing Our Numbers –rounding of numbers – Whole Numbers predecessor – successor
– number line Playing With Numbers – divisibility rules LCM & HCF Integers – Fractions – Decimals Rational Numbers Squares, cubes Square roots, Cube roots Real numbers Representing irrational numbers on Number line – representing real numbers on the number line through successive magnification – rationalisation –Real numbers operations on real numbers law of exponents for real numbers surds( exponential form & radical form ) Euclid’s division lemma & its application in finding HCF – fundamental theorem of Arithmetic & its application (HCF & LCM, decimal representation of rational numbers (terminating or nonterminating recurring and vice versa)) Nonterminating & non recurring decimals as irrationals – irrationality of√2, √3 etc. properties of irrational numbers Logarithm – exponential & logarithmic formsProperties & Laws of logarithmsstandard base of logarithm use of logarithms in daily life situation Sets –& its representation (Roster form& set builder form)examples classification of sets(empty, finite, infinite, subset& super set, universal set, disjoint sets, power set of a set, equality of sets) Venn diagram – operations on sets ( union, intersection, difference, cardinal number of a set
3. Geometry
Measures of Lines and Angles – Symmetry – Understanding 3D, 2D Shapes – Representing 3D in 2DLines and Angles Triangle and Its Properties Congruency of Triangles Quadrilaterals – Practical Geometry Construction of Triangles Construction of Quadrilaterals – Exploring Geometrical Figures The Elements of Geometry Area –Circles Similar Triangles & Tangents and secants to a circle Proofs in Mathematics
4. Mensuration
Perimeter and Area – Area of Plane Figures Surface areas and Volumes
5. Algebra
Introduction to Algebra Simple Equations Exponents – Algebraic Expressions Exponents & Powers – Linear Equations in one variable – Factorisation Polynomials & Factorisation – Linear Equations in Two Variables – Pair of Linear Equations in Two Variables – Quadratic Equations Progressions Arithmetic Progression properties of A.P. Arithmetic mean –Geometric Progression –nth term–properties of AP,G.P.
Functions :
 Ordered pair Cartesian product of sets – Relation – Function & its types – image & preimage –
 Inverse functions and
 Domain, Range, Inverse of real valued functions. Mathematical Induction
 Principle of Mathematical Induction &
 Applications of Mathematical
 Problems on Matrices:
 Types of matrices
 Scalar multiple of a matrix and multiplication of matrices
 Transpose of a matrix
 Determinants
 Adjoint and Inverse of a matrix
 Consistency and inconsistency of Equations Rank of a matrix
 Solution of simultaneous linear equations Complex Numbers:
 Complex number as an ordered pair of real numbers fundamental operations
 Representation of complex numbers in the form a +
 Modulus and amplitude of complex numbers –Illustrations.
 Geometrical and Polar Representation of complex numbers in Argand plane Argand
De Moivre’s Theorem:
 De Moivre’s theorem Integral and Rational
 n^{th} roots of unity Geometrical Interpretations – Quadratic Expressions:
 Quadratic expressions, equations in one variable
 Sign of quadratic expressions – Change in signs – Maximum and minimum values
 Quadratic inequations Theory of Equations:
 The relation between the roots and coefficients in an equation
 Solving the equations when two or more roots of it are connected by certain relation
 Equation with real coefficients, occurrence of complex roots in conjugate pairs and its consequences
 Transformation of equations – Reciprocal Permutations and Combinations:
 Fundamental Principle of counting – linear and circular permutations
 Permutations of ‘n’ dissimilar things taken ‘r’ at a time
 Permutations when repetitions allowed
 Circular permutations
 Permutations with constraint
 Combinationsdefinitions and certain theorems Binomial Theorem:
 Binomial theorem for positive integral index
 Binomial theorem for rational Index (without proof).
 Approximations using Binomial theorem Partial fractions:
 Partial fractions of f(x)/g(x) when g(x) contains non –repeated linear
 Partial fractions of f(x)/g(x) when g(x) contains repeated and/or nonrepeated linear factors.
 Partial fractions of f(x)/g(x) when g(x) contains irreducible
6. Statistics
DATA HANDLING – Frequency Distribution Tables and Graphs Grouped data ungrouped data – Measrues of Central Tendency Mean, median & mode of grouped and ungrouped data – ogive curves –MEASURES OF DISPERSION Range – Mean deviation
Variance and standard deviation of ungrouped/grouped data. Coefficient of variation and analysis of frequency distribution with equal means but different variances.
7. Probability
Probability – Random experiment and outcomes – Equally likely outcomes – Trail and Events – Linking the chance to Probability – uses of probability in real life
Probabilitya theoretical approach – probability & modelling –equally likely events – mutually exclusive events –finding probability – elementary event –exhaustive events – complementary events & probability – impossible & certain events – deck of cars & Probability –use & applications of probability – Probability
 Random experiments and events
 Classical definition of probability, Axiomatic approach and addition theorem of
 Independent and dependent events conditional probability multiplication theorem and Bayee’s
Random Variables and Probability Distributions:
 Random Variables
 Theoretical discrete distributions – Binomial and Poisson Distributions
8. Coordinate Geometry
Cartesian systemPlotting a point in a plane if its coordinates are given.
Distance between two points – Section formula (internal division of a line segment in the ratio m : n) – centroid of a triangle – trisectional points of a line segment Area of triangle on coordinate plane collinearity –straight lines Slope of a line joining two points
Locus :
 Definition of locus –
 To find equations of locus – Problems connected to Transformation of Axes :
 Transformation of axes – Rules, Derivations and
 Rotation of axes – Derivations – The Straight Line :
 Revision of fundamental
 Straight line – Normal form –
 Straight line – Symmetric
 Straight line – Reduction into various
 Intersection of two Straight
 Family of straight lines – Concurrent
 Condition for Concurrent
 Angle between two
 Length of perpendicular from a point to a
 Distance between two parallel
 Concurrent lines – properties related to a Pair of Straight lines:
 Equations of pair of lines passing through origin, angle between a pair of
 Condition for perpendicular and coincident lines, bisectors of
 Pair of bisectors of
 Pair of lines – second degree general
 Conditions for parallel lines – distance between them, Point of intersection of pair of
 Homogenizing a second degree equation with a first degree equation in X and Circle :
 Equation of circle standard formcentre and radius of a circle with a given line segment as diameter & equation of circle through three non collinear points – parametric equations of a
 Position of a point in the plane of a circle – power of a pointdefinition of tangent length of tangent
 Position of a straight line in the plane of circleconditions for a line to be tangent – chord joining two points on a circle – equation of the tangent at a point on the circle point of contactequation of
 Chord of contact – pole and polarconjugate points and conjugate lines – equation of chord with given middle
 Relative position of two circles circles touching each other externally, internally common tangentscentres of similitude equation of pair of tangents from an external point.
System of circles:
 Angle between two intersecting circles.
 Radical axis of two circles properties Common chord and common tangent of two circles – radical
 Intersection of a line and a
Parabola:
 Conic sections –Parabola equation of parabola in standard formdifferent forms of parabola parametric
 Equations of tangent and normal at a point on the parabola (Cartesian and parametric)
– conditions for straight line to be a tangent.
Ellipse:
 Equation of ellipse in standard form Parametric
 Equation of tangent and normal at a point on the ellipse (Cartesian and parametric) – condition for a straight line to be a
Hyperbola:
 Equation of hyperbola in standard form Parametric
 Equations of tangent and normal at a point on the hyperbola (Cartesian and parametric) – conditions for a straight line to be a tangent
Three Dimensional Coordinates :
 Section formulas – Centroid of a triangle and Direction Cosines and Direction Ratios :
 Direction
 Direction Ratios. Plane :
 Cartesian equation of Plane – Simple
9. Trigonometry
Trigonometry – Naming the side in a right triangletrigonometric ratios – defining trigonometric ratios –trigonometric ratios of some specific angles ( 45^{0},30^{0} &60^{0}, 0^{0} &90^{0} )
–trigonometric ratios of complementary angles – trigonometric identities – Applications of Trigonometry – Line of sight & horizontal Angle of elevation & depression Drawing figures to solve problems – solution for two triangles
Trigonometric Ratios up to Transformations:
 Graphs and Periodicity of Trigonometric
 Trigonometric ratios and Compound
 Trigonometric ratios of multiple and sub multiple
 Transformations – Sum and Product rules. Trigonometric Equations:
 General Solution of Trigonometric
 Simple Trigonometric Equations – Inverse Trigonometric Functions:
 To reduce a Trigonometric Function into a
 Graphs of Inverse Trigonometric
 Properties of Inverse Trigonometric Hyperbolic Functions:
 Definition of Hyperbolic Function –
 Definition of Inverse Hyperbolic Functions –
 Addition formulas of Hyperbolic Properties of Triangles:
 Relation between sides and angles of a Triangle
 Sine, Cosine, Tangent and Projection
 Half angle formulae and areas of a triangle
 Incircle and Excircle of a
10. Vector Algebra
Addition of Vectors:
 Vectors as a triad of real
 Classification of
 Addition of
 Scalar
 Angle between two nonzero vectors.
 Linear combination of
 Component of a vector in three dimensions.
 Vector equations of line and plane including their Cartesian equivalent forms. Product of Vectors:
 Scalar Product – Geometrical Interpretations – orthogonal
 Properties of dot
 Expression of dot product in i, j, k system – Angle between two
 Geometrical Vector
 Vector equations of plane in normal
 Angle between two
 Vector product of two vectors and
 Vector product in i, j, k
 Vector
 Scalar Triple
 Vector equations of plane in different forms, skew lines, shortest distance and their Cartesian equivalents. Plane through the line of intersection of two planes, condition for coplanarity of two lines, perpendicular distance of a point from a plane, Angle between line and a plane. Cartesian equivalents of all these results
 Vector Triple Product – Results
11. Calculus
Limits and Continuity:
 Intervals and
 Standard
 Differentiation:
 Derivative of a
 Elementary
 Trigonometric, Inverse Trigonometric, Hyperbolic, Inverse Hyperbolic Function – Derivatives.
 Methods of
 Second Order Applications of Derivatives:
 Errors and
 Geometrical Interpretation of a
 Equations of tangents and normal’s.
 Lengths of tangent, normal, sub tangent and sub
 Angles between two curves and condition for orthogonality of
 Derivative as Rate of
 Rolle’s Theorem and Lagrange’s Mean value theorem without proofs and their geometrical
 Increasing and decreasing
 Maxima and
Integration:
 Integration as the inverse process of differentiation Standard forms –properties of integrals.
 Method of substitution integration of Algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. Integration by
 Integration Partial fractions
 Reduction Definite Integrals:
 Definite Integral as the limit of sum
 Interpretation of Definite Integral as an
 Fundamental theorem of Integral
 Reduction
 Application of Definite integral to Differential equations:
 Formation of differential equationDegree and order of an ordinary differential equation.
 Solving differential equation by
 Variables separable
 Homogeneous differential
 Non – Homogeneous differential
 Linear differential
V. Methodology (Present B.Ed. syllabus) (16 Marks)
 Meaning and Nature of Mathematics, History of
 Contributions of Great Mathematicians – Aryabhatta, Bhaskaracharya, Srinivasa Ramanujan, Euclid, Pythagoras, George
 Aims and Values of teaching Mathematics, Instructional objectives (Blooms taxonomy)
 Mathematics curriculum: Principles, approaches of curriculum construction, Logical and Psychological, Topical and Concentric, Spiral approaches. Qualities of a good Mathematics text
 Methods of teaching mathematics Heuristic method, Laboratory method, Inductive and Deductive methods, Analytic and Synthetic methods, Project method and Problem Solving
 Unit Plan, Year Plan, Lesson Planning in
 Instructional materials, Edgar Dale’s Cone of
 Evolving strategies for the gifted students and slow learners,
 Techniques of teaching mathematics like Oral work, Written work, Drilling, Assignment, Project, Speed and
 Mathematics club, Mathematics structure, Mathematics order and pattern
 Evaluation – Types, Tools and Techniques of Evaluation, Preparation of SAT Analysis, Characteristics of a good.