AP DSC 2026 SA Maths Syllabus, Official School Assistant Maths DSC 2026 Syllabus

AP DSC 2026 SA Maths Syllabus. The AP DSC 2026 School Assistant Mathematics Syllabus issued by the Government of Andhra Pradesh, Department of School Education and the State Council of Educational Research and Training (SCERT), provides the subject-wise topics for candidates preparing for the Andhra Pradesh DSC 2026 School Assistant Maths examination. The syllabus includes General Knowledge and Current Affairs, Perspectives in Education, Classroom Implications of Educational Psychology, Mathematics Content from Classes VI to Intermediate, and Mathematics Methodology. Important mathematics topics include arithmetic, number systems, geometry, mensuration, algebra, statistics, probability, coordinate geometry, trigonometry, vector algebra, calculus and differential equations.

AP DSC 2026 SA Maths Syllabus – Overview

According to the supplied syllabus document, the examination syllabus is divided into five sections carrying a total of 80 marks.

Part I: General Knowledge and Current Affairs (10 Marks)

General Knowledge and Current Affairs – 10 marks.

Part II: Perspectives in Education (5 Marks)

1. History of Education

• Education in Ancient India – Pre-Vedic and Post-Vedic period, Medieval Education.
• Education in Pre-Independent era – Woods Despatch (1854), Hunter Commission (1882), Hartog Committee (1929), Sargent Committee (1944).
• Education in Post-Independent era – Mudaliar Commission (1952–53), Kothari Commission (1964–66), Ishwarbhai Patel Committee (1977), NPE-1986, POA-1992.

2. Teacher Empowerment

Need and interventions for empowerment; professional code of conduct for teachers; teacher motivation; professional development of teachers and teacher organizations; national/state-level organizations for teacher education; maintenance of records and registers in schools.

3. Educational Concerns in Contemporary India

• Democracy and Education, Equality, Equity, Quality in Education, Equality of Educational opportunities.
• Economics of Education, Education as Human Capital, Education and Human Resource Development, Literacy – Saakshar Bharat Mission.
• Population Education; Gender – Equality, Equity and Empowerment of Women; Urbanization and migration; Life skills.
• Adolescence Education.
• Value Education – Moral Value and Professional Ethics in Education.
• Health and Physical Education.
• Inclusive Education – Classroom Management in Inclusive Education.
• Role of Education in view of Liberalization, Privatization and Globalization.
• Programmes and Projects – APPEP, DPEP, Sarva Shiksha Abhiyan, National Programme for Education of Girls at Elementary Level (NPEGEL), Rashtriya Madhyamika Shiksha Abhiyan (RMSA), Rashtriya Avishkar Abhiyan (RAA), KGBVs, Model Schools.
• Incentives and special provisions – Mid Day Meals, Free Books, Scholarships, Awards, Welfare Hostels, Transportation.
• Current Trends in Education.

4. Acts / Rights

• Right of Children to Free and Compulsory Education Act – 2009.
• Right to Information Act – 2005.
• Child Rights.
• Human Rights.

5. National Curriculum Framework – 2005

Perspectives, Guiding Principles, Learning and Knowledge, Teaching Learning Process, Assessments, Systemic Reforms.

6. National Education Policy – 2020

Part III: Classroom Implications of Educational Psychology (5 Marks)

1. Individual differences: Inter- and intra-individual differences; meaning, nature and theories of intelligence with special emphasis on multiple intelligence; IQ; assessment of intelligence; EQ; creativity; attitude, aptitude, interest and habit and their influence on intelligence – classroom implementation.
2. Learning: Theories and approaches of learning; learning curves; factors, phases and dimensions of learning; types of learning; transfer of learning; memory; forgetting; learning and assessment – classroom implementation.
3. Personality: Nature, characteristics and theories of personality; factors of personality; assessment of personality; mental health; adjustment; stress – nature, symptoms and management; emotional intelligence; management of emotions – classroom implementation.

Part IV: Mathematics Content (40 Marks) AP DSC 2026 SA Maths Syllabus

Mathematics Content covers the Class VI to Intermediate present syllabus.

1. Arithmetic

BODMAS rule; ratios and proportions (direct, inverse); comparing quantities using ratios; proportion; percentage and their applications; profit and loss; discount; sales tax/value added tax/goods and services tax; simple and compound interest and their applications.

2. Number System

Numbers; four fundamental operations (addition, subtraction, multiplication, division); knowing about numbers; Hindu-Arabic system of numeration (Indian system of numeration); international system of numeration (British system of numeration); place value and face value of a digit in a number; comparing and ordering numbers; whole numbers; factors and multiples; prime and composite numbers; even and odd numbers; tests for divisibility; common factors and common multiples; prime factorisation; highest common factor (G.C.D); lowest common multiple; integers, their properties and fundamental operations; fractions and decimals; types and comparison of fractions; applications of fractions in daily life; four fundamental operations on fractions and decimals; Euclid’s Division Lemma and its application; rational numbers and their properties; representation of rational numbers on the number line; rational numbers between two rational numbers; operations on rational numbers; rational numbers and their decimal expansions; non-terminating recurring decimals in rational numbers; product of reciprocals; squares and square roots (numbers and decimals); properties of square numbers; cubes and cube roots; playing with numbers; games with numbers; letters for digits; irrational numbers; real numbers and their decimal expansions; operations on real numbers; laws of exponents for real numbers; properties and laws of logarithms.

Sets: Sets and their representation (roster form and set-builder form); classification of sets (empty, universal, subset, finite and infinite, disjoint sets); difference of sets; equal sets; diagrams to represent sets; Venn diagrams and cardinality of sets; basic operations on sets (union, intersection).

3. Geometry

Basic geometrical concepts (point, line, line segment, ray, curves, polygons, angles); measuring lines; pairs of lines; intersecting and non-intersecting lines; lines parallel to the same line; elements and measurement of angles; types and pairs of angles; naming 2D figures including triangles, square and rectangle; triangles, types and properties; congruence and properties of triangles; criteria for congruence and similarity of triangles; areas of similar triangles; Pythagoras theorem; classification of polygons; angle-sum property; quadrilaterals (trapezium, kite, parallelogram); special parallelograms (rhombus, rectangle, square); constructing quadrilaterals; views of 3D shapes; edges, vertices and faces of 3D figures (Euler’s Rule); nets for building 3D shapes; Euclid’s geometry, definitions, axioms and postulates; angle subtended by a chord at a point; perpendicular from the centre to a chord; equal chords and their distances from the centre; angle subtended by an arc of a circle; cyclic quadrilaterals; tangents of a circle; number of tangents from any point; segment of a circle formed by a secant.

4. Mensuration

Measuring length, weight, capacity, time, seasons, calendar, money and area; line and rotational symmetry; perimeter of triangle, square, rectangle, rhombus, trapezium, parallelogram, circle and polygon; properties of a parallelogram; midpoint theorem; area of a quadrilateral; surface area and volume of cube, cuboid and cylinder; volume and capacity; surface area and volume of a sphere; volume of a right circular cone; surface area and volume of combinations of solids; conversion of a solid from one shape to another.

5. Algebra

Patterns and making rules; variables; formation of algebraic expressions; terms, factors and coefficients; linear equations in one variable and two variables; solutions of pairs of linear equations in two variables; algebraic methods of solving pairs of linear equations; equations reducible to pairs of linear equations in two variables; quadratic equations by factorisation and completing the square; nature of roots; terms and types of algebraic expressions; value of an expression; addition, subtraction and multiplication of algebraic expressions; multiplying monomials and polynomials; standard identities and applications; simple equations in practical situations; exponents and powers; negative exponents; laws of exponents; standard form of large numbers; factorisation; division of algebraic expressions (polynomial ÷ polynomial); linear graphs; polynomials in one variable, degree, value and zeroes; geometrical meaning of zeroes; graphical representation of linear, quadratic and cubic polynomials; factorisation of polynomials; algebraic identities; polynomial division algorithm; arithmetic progressions, their parameters, nth term and sum of first n terms; geometric progressions and nth term of a GP.

Functions: Ordered pair; Cartesian product of sets; relation; function and its types; image and pre-image; definitions; inverse functions and theorems; domain, range and inverse of real-valued functions.

Mathematical Induction: Principle of mathematical induction and theorems; applications of mathematical induction; problems on divisibility.

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 and fundamental operations; representation in the form a+ib; modulus and amplitude of complex numbers; geometrical and polar representation in the Argand plane and Argand diagram.

De Moivre’s Theorem: De Moivre’s theorem; integral and rational indices; nth roots of unity; geometrical interpretations and illustrations.

Quadratic Expressions: Quadratic expressions and equations in one variable; sign of quadratic expressions; change in signs; maximum and minimum values; quadratic inequalities.

Theory of Equations: Relation between roots and coefficients; solving equations when two or more roots are connected by a relation; equations with real coefficients and occurrence of complex roots in conjugate pairs and consequences; transformation of equations; reciprocal equations.

Permutations and Combinations: Fundamental principle of counting; linear and circular permutations; permutations of n dissimilar things taken r at a time; permutations when repetitions are allowed; circular permutations; permutations with constraint repetitions; combinations, definitions and certain theorems.

Binomial Theorem: Binomial theorem for positive integral index; binomial theorem for rational index (without proof); approximations using the binomial theorem.

Partial Fractions: Partial fractions of f(x)/g(x) when g(x) contains non-repeated linear factors; repeated and/or non-repeated linear factors; and irreducible factors.

6. Statistics

Data Handling: Frequency distribution tables and graphs; grouped and ungrouped data; measures of central tendency – mean, median and mode of grouped and ungrouped data; ogive curves.

Measures of Dispersion: Range; mean deviation; variance and standard deviation of grouped/ungrouped data; coefficient of variation and analysis of frequency distributions with equal means but different variances.

7. Probability

Probability; linking chances to probability; chance and probability related to real life; theoretical approach; mutually exclusive events; finding probability; complementary events and probability; impossible and certain events; deck of cards and probability; uses and applications of probability; random experiments and events; classical definition of probability; axiomatic approach and addition theorem of probability; independent and dependent events; conditional probability; multiplication theorem and Bayes’ theorem.

Random Variables and Probability Distributions: Random variables; theoretical discrete distributions – binomial and Poisson distributions.

8. Coordinate Geometry

Cartesian system; distance between two points, including points on a line parallel to a coordinate axis and any two points in the x-y plane; section formula; centroid of a triangle; trisectional points of a line; area of a triangle; Heron’s formula; collinearity; straight lines; slope of a straight line and slope of a line joining two points.

Locus: Definition and illustrations; finding equations of locus and related problems.

Transformation of Axes: Rules, derivations and illustrations; rotation of axes, derivations and illustrations.

The Straight Line: Revision of fundamental results; normal form; symmetric form; reduction into various forms; intersection of two straight lines; family of straight lines; concurrent lines and conditions; angle between two lines; length of perpendicular from a point to a line; distance between parallel lines; properties of concurrent lines related to a triangle.

Pair of Straight Lines: Equations of pairs of lines passing through the origin; angle between a pair of lines; conditions for perpendicular and coincident lines; bisectors of angles; pair of bisectors; general second-degree equation; conditions for parallel lines and distance between them; point of intersection of a pair of lines; homogenizing a second-degree equation with a first-degree equation in X and Y.

Circle: Equation in standard form; centre and radius of a circle with a given line segment as diameter; equation of a circle through three non-collinear points; parametric equations; position of a point in the plane of a circle; power of a point; tangent and tangent length; position of a straight line relative to a circle; conditions for a line to be tangent; chord joining two points; equation of tangent at a point; point of contact and equation of normal; chord of contact; pole and polar; conjugate points and lines; equation of chord with given midpoint; relative position of two circles; external and internal touching; common tangents; centres of similitude; pair of tangents from an external point.

System of Circles: Angle between intersecting circles; radical axis and its properties; common chord and common tangent; radical centre; intersection of a line and a circle.

Parabola: Conic sections; parabola in standard and different forms; parametric equations; tangent and normal at a point in Cartesian and parametric forms; conditions for a straight line to be tangent.

Ellipse: Standard-form and parametric equations; tangent and normal at a point in Cartesian and parametric forms; condition for a straight line to be tangent.

Hyperbola: Standard-form and parametric equations; tangent and normal in Cartesian and parametric forms; conditions for a straight line to be tangent; asymptotes.

Three-Dimensional Coordinates: Coordinates; section formulae; centroid of a triangle and tetrahedron.

Direction Cosines and Direction Ratios: Direction cosines and direction ratios.

Plane: Cartesian equation of a plane; simple illustrations.

9. Trigonometry

Naming the sides in a right triangle; trigonometric ratios and their definitions; ratios of specific and complementary angles; trigonometric identities; applications of trigonometry; drawing figures to solve problems; solutions for two triangles.

Trigonometric Ratios up to Transformations: Graphs and periodicity of trigonometric functions; compound angles; multiple and sub-multiple angles; transformations – sum and product rules.

Trigonometric Equations: General solution and solutions of simple trigonometric equations.

Inverse Trigonometric Functions: Reducing a trigonometric function into a bijection; graphs and properties of inverse trigonometric functions.

Hyperbolic Functions: Definition and graphs of hyperbolic and inverse hyperbolic functions; addition formulae of hyperbolic functions.

Properties of Triangles: Relation between sides and angles; sine, cosine, tangent and projection rules; half-angle formulae and areas of a triangle; in-circle and ex-circle of a triangle.

10. Vector Algebra

Addition of Vectors: Vectors as a triad of real numbers; classification and addition of vectors; scalar multiplication; angle between two non-zero vectors; linear combination; component of a vector in three dimensions; vector equations of line and plane including Cartesian equivalent forms.

Product of Vectors: Scalar product and geometrical interpretations; orthogonal projections; properties of dot product; dot product in i, j, k system; angle between vectors; geometrical vector methods; vector equations of plane in normal form; angle between two planes; vector product and its properties; vector product in i, j, k system; vector areas; scalar triple product; vector equations of planes in different forms; skew lines and shortest distance and Cartesian equivalents; plane through the line of intersection of two planes; coplanarity of two lines; perpendicular distance of a point from a plane; angle between a line and a plane; vector triple product results.

11. Calculus

Limits and Continuity: Intervals and neighbourhoods; limits; standard limits; continuity.

Differentiation: Derivative of a function; elementary properties; derivatives of trigonometric, inverse trigonometric, hyperbolic and inverse hyperbolic functions; methods of differentiation; second-order derivatives.

Applications of Derivatives: Errors and approximations; geometrical interpretation of a derivative; equations of tangents and normals; lengths of tangent, normal, subtangent and subnormal; angles between curves and condition for orthogonality; derivative as rate of change; Rolle’s theorem and Lagrange’s mean value theorem without proofs and their geometrical interpretation; increasing and decreasing functions; maxima and minima.

Integration: Integration as the inverse process of differentiation; standard forms and properties of integrals; substitution method; integration of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions; integration by parts; partial fractions method; reduction formulae.

Definite Integrals: Definite integral as the limit of a sum; interpretation as area; fundamental theorem of integral calculus; properties; reduction formulae; application to areas.

Differential Equations: Formation of differential equations; degree and order of an ordinary differential equation; solving differential equations by (a) variables separable method, (b) homogeneous differential equation, (c) non-homogeneous differential equation and (d) linear differential equations.

Part V: Mathematics Methodology (20 Marks)

1. Meaning and Nature of Mathematics; History of Mathematics.
2. Contributions of great mathematicians – Aryabhatta, Bhaskaracharya, Srinivasa Ramanujan, Euclid, Pythagoras, George Cantor.
3. Aims and values of teaching Mathematics; instructional objectives (Bloom’s taxonomy).
4. Mathematics curriculum: principles and approaches of curriculum construction – logical and psychological, topical and concentric, spiral approaches; qualities of a good Mathematics textbook.
5. Methods of teaching Mathematics – heuristic method, laboratory method, inductive and deductive methods, analytic and synthetic methods, project method and problem-solving method.
6. Unit Plan, Year Plan and Lesson Planning in Mathematics.
7. Instructional materials; Edgar Dale’s Cone of Experience.
8. Evolving strategies for gifted students and slow learners.
9. Techniques of teaching Mathematics such as oral work, written work, drilling, assignment, project, speed and accuracy.
10. Mathematics club, Mathematics structure, Mathematics order and pattern sequence.
11. Evaluation – types, tools and techniques of evaluation; preparation of standard assessment tools; analysis; characteristics of a good test.

Apply Online for AP DSC 2026 SA Maths Syllabus

Candidates can use the official AP DSC 2026 application portal when applications are open. Check the official notification for eligibility, important dates, application instructions and any updates before submitting the form.