Syllabus

Shapes and space, numbers name (1-50), addition, subtraction (two digits), data handling, time, measurement, patterns, calendar, grouping, how many, odd one out, spatial understanding, money, lengths, weights, and comparison. They also engage in higher-order thinking skills (HOTS) questions. 

Numbers name (1-100), addition, subtraction (two digits), counting in group, multiplication, division, data handling, geometrical shapes, measurement, patterns, grouping, how many, odd one out, spatial understanding, money, time & calendar, temperature, pictographs, lengths, weights and comparison, capacity, and HOTS questions.

Geometrical shapes, numerals, number names and number sense (4-digit numbers), computation operations – addition, subtraction, multiplication and division (3 digits), fractions, length, weight, capacity, temperature, time, money, calendar, geometry, data handling, and HOTS questions.

Numerals and number names, number sense (more than 4-digit numbers), computation operations, fractions, length, weight, capacity, time operation , money, geometry, perimeter of various shapes, area of triangle, rectangle and square, symmetry, conversions, data handling, and HOTS questions.

Numerals, number names and number sense (7 and 8digit numbers), computation operations, fractions and decimals, measurement of length, weight, capacity, time, temperature and money, conversions, geometrical shapes and solids, angles, perimeter of various shapes, area of rectangle, square , rhombus, trapezium, calendar symmetry, data handling, coding and decoding reasoning and HOTS questions.

Knowing our numbers, whole numbers, HCF and LCM, Parallel lines, Angles (Supplementary/Complementary, Linear Pair), under-standing elementary shapes, integers, fractions, decimals, data handling, conjecture – Brocard, Collatz Numbers – Kaprekar number, Kaprekar constant, Self Number, Triangular to Hexagonal number, Virhanka Number, mensuration, algebra, ratio and proportion, symmetry, practical geometry, and HOTS questions. Indian mathematician – D R Kaprekar , Ramanujan

Integers, fractions and decimals, exponents and powers, algebraic expressions, arithmetic expression, Palindrome and Ramanujan – Hardy Number, simple linear equations, lines and angles, Polygons, Triangle and quadrilateral property, triangle inequality, comparing quantities, the triangle and its properties, symmetry, congruence of triangles, rational numbers, perimeter and area, data handling, Polygon, visualising solid shapes, Prime and Composite numbers, SI and CI and practical geometry. Indian Mathematician – Aryabhata, Brahmagupta, Manjul Bhargava, Akshay Venkatesh.

Rational numbers, squares and square roots, cubes and cube roots, exponents and powers, comparing quantities, algebraic expressions and identities, linear equations in one variable, Factorization, understanding quadrilaterals, constructions, mensuration, visualising solid shapes, Races and Games, Alphametics or Cryptarithmetics, data handling, direct and inverse variations, factorisation, introduction to graphs, and Three dimension geometry – Cube, Cuboid, Cylinder, Sphere, Cone, Time and distance, Divisibility rule- Wilson and Fermat Little heorem, Time and Work, Indian Mathematician – P C Mahalnobis, S S Abhyankar , C R Rao, Samrendra Nath Banarjee.

Real numbers, polynomials, linear equations in two variables, Factorization, Cyclic Factorization,
Remainder and Factor Theorem, coordinate geometry, geometry, lines and angles, triangles, quadrilaterals, circles, area, surface area and volumes, statistics, and probability. Apollonius and Stewart Theorem, Circle Theorem, Brahmagupta’s cyclic quadrilateral theorem, Mid point theorem, Butterfly theorem Centroid, Orthocentre and Circumcentre etc. Indian mathematician – Neelkantha, Subash Kak, Vashishtha Narayan Singh, Mangla Narlikar.

Real numbers, polynomials, pair of linear equations in two variables, quadratic equation, arithmetic progressions, coordinate geometry, geometry, triangles, Principle of inclusion and exclusion, Pigeon hole principle, Greatest integer and least integer functions, introduction to trigonometry, trigonometric identities, height and distances (angle of elevation,
angle of depression), area related to circles, surface area and volumes of 3D figure including Pyramid and Prism statistics, and probability, Alternate Segment Theorem, Tangent Theorem, Inequation, Ceva Theorem, Internal and External bisector theorem. Indian Mathematician – Neena Gupta, Satyendra Nath Bose, C K Raju, S C Shrikhande.

Sets, relations and functions, trigonometric functions, principle of mathematical induction, complex numbers and quadratic equations, linear inequalities, permutations and combinations, binomial theorem, sequences and series, straight lines and Pair of straight line, conic sections, introduction to three-dimensional geometry, limits and derivatives, mathematical reasoning, statistics, and probability. Piegon Hole principle, Logarithm, Diophantus Equation, Indian Mathematician- Ramanujan, C S Seshadri, Raman Parimala.

Relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, application of integrals, differential equations, vector triple product and dot product, three-dimensional geometry, linear programming, and probability, Counting techniques, Theorem and Paradox. Indian Mathematician – Mahavira, Brahmagupta, Bhaskaracharya, Sujata Ramdurai, Madhavacharya and Nilkantha.