Mathematics
Level 1
- Number Systems: Integers, rational numbers, exponents, and powers.
- Algebra: Linear equations, polynomials, and algebraic expressions.
- Geometry: Lines, angles, triangles, quadrilaterals, and circles.
- Mensuration: Area and perimeter of 2D shapes, volume and surface area of 3D shapes.
Level 2
- Number Systems: Real numbers, rational and irrational numbers.
- Algebra: Polynomials, factorization, linear equations in two variables.
- Geometry: Lines, angles, triangles, quadrilaterals, circles, coordinate geometry.
- Mensuration: Area and perimeter of 2D shapes, volume and surface area of 3D shapes.
Level 3
- Real Numbers: rational and irrational numbers, Euclid’s division lemma, HCF and LCM.
- Algebra: polynomials, quadratic equations, arithmetic progressions.
- Geometry: triangles, coordinate geometry, circles.
- Trigonometry: trigonometric ratios, trigonometric identities.
- Mensuration: area of a triangle using Heron’s formula, surface area and volume of solids.
Level 4
- Sets and Functions: sets, relations, functions, and their properties.
- Algebra: complex numbers, quadratic equations, permutations and combinations, binomial theorem.
- Trigonometry: trigonometric functions, identities, equations.
- Calculus: limits, continuity, differentiation, integration.
- Coordinate Geometry: straight lines, conic sections.
Level 5
- Relations and Functions: inverse trigonometric functions, binary operations.
- Algebra: matrices, determinants, linear equations.
- Calculus: differentiation, integration, applications of derivatives and integrals.
- Vectors: vectors, scalar and vector products, applications.
- Three-Dimensional Geometry: planes, lines, distance between points and lines.