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Mathematics Curriculum Overview (Class 2–10)
Explore our structured and comprehensive math syllabus designed for students from Class 2 to Class 10. Each level builds on key mathematical concepts with a focus on real-world application, problem-solving, and competitive exam preparation.
Class 2 to 4 – [Foundational Math Skills for Kids]
1. Basic Mathematical Operations
Learn addition, subtraction, multiplication, and division using real-life examples to build core numeracy skills.
2. Introduction to Number Systems
Understand whole numbers, place value, and how to read/write numbers correctly up to thousands.
3. Understanding Integers
Introduction to positive and negative numbers, their representation on number lines, and basic operations.
4. Introduction to Algebra
Learn about patterns, variables, and simple expressions using fun, relatable problems.
5. Simple Equations using Integers
Solve one-step equations involving addition, subtraction, and multiplication with integers.
6. Fractions and Rational Numbers
Identify fractions, understand numerator and denominator, and perform basic operations like addition and subtraction of like fractions.
Class 5 to 6 – [Intermediate Arithmetic & Geometry Concepts]
7. Decimals and Introduction to Irrational Numbers
Understand decimal notation, place value in decimals, and a basic idea of non-terminating, non-repeating numbers.
8. Squares and Square Roots
Learn to find the square of numbers, and the concept of square roots using multiplication and division.
9. Cubes and Cube Roots
Understand how numbers multiply by themselves three times and how to find cube roots.
10. Real Numbers and Their Properties
Learn the classification of numbers: natural, whole, integers, rational, irrational, and real numbers.
11. Simple Equations with Real Numbers
Solve linear equations involving variables and real number coefficients.
12. Exponents (Level 1)
Introduction to powers and exponents, laws of exponents, and scientific notation.
13. Arithmetic Applications (Level 1)
Apply arithmetic in real-life scenarios: profit & loss, discounts, and unitary method.
14. Plane Geometry (Level 1)
Study basic shapes, angles, lines, triangles, and quadrilaterals.
15. Mensuration (Level 1)
Measure and calculate perimeter and area of squares, rectangles, and triangles.
Class 7 to 8 – [Advanced Arithmetic, Algebra & Geometry]
16. Algebraic Expressions and Their Uses
Understand terms, coefficients, like/unlike terms, and how to form and simplify expressions.
17. Algebraic Identities
Learn standard identities and apply them in simplification.
18. Linear Equations in One Variable
Solve equations involving variables on both sides using transposition and balancing methods.
19. Solving Linear Equations in Two Variables
Introduction to simultaneous equations and graphical representation of solutions.
20. Changing the Subject of a Formula
Learn to isolate variables and rearrange formulas used in science and mathematics.
21. Factorization Techniques
Factor polynomials using common factors, grouping, identities, and middle-term splitting.
22. Exponents and Powers (Level 2)
Work with higher exponents, negative powers, and exponential expressions.
23. Rationalization and Surds
Simplify irrational numbers using rationalization and understand the concept of surds.
24. Understanding Polynomials and Their Properties
Learn about degrees, coefficients, zeroes of polynomials, and perform basic operations.
Class 9 – [High School Algebra & Geometry Foundations]
25. Arithmetic Applications (Level 2)
Advanced problems on percentages, simple and compound interest, and time-speed-distance.
26. Plane Geometry (Level 2)
Deep dive into theorems, properties of triangles, circles, and geometric constructions.
27. Mensuration (Level 2)
Surface area and volume of 3D shapes like cubes, cuboids, cylinders, cones, and spheres.
28. Introduction to Coordinate Geometry
Plot points on the Cartesian plane, find distances between points, and understand quadrants.
29. Trigonometric Ratios and Applications
Define sine, cosine, tangent; apply ratios to right-angled triangles and height-distance problems.
30. Logarithms – Concepts and Computation
Learn properties of logarithms and apply them to simplify exponential expressions.
31. Arithmetic and Geometric Progressions
Identify and solve problems related to sequences, nth terms, and sum of terms.
Class 10 – [Board-Level & Competitive Math Topics]
32. Mathematical Induction
Understand and apply the principle of induction for proving mathematical statements.
33. Quadratic Equations and Roots
Solve quadratic equations by factorization, completing square, and quadratic formula.
34. Sets and Relations
Learn about sets, subsets, operations on sets, and basic relations using Venn diagrams.
35. Intervals and Inequalities
Represent inequalities and intervals on the number line and solve linear inequalities.
36. Functions and Graphs
Understand types of functions (linear, quadratic), their domain, range, and graphical representation.
37. Advanced Trigonometry
Study trigonometric identities, transformations, and applications in real-world problems.
38. Introduction to Matrices
Learn matrix notation, types of matrices, and perform basic matrix operations.
39. Coordinate Geometry – Straight Lines
Understand slopes, equations of lines, and applications in solving geometry problems.