1. Number Systems

    Content: Covers the different types of number systems, including natural numbers, whole numbers, integers, rational numbers, and real numbers. Topics also include operations with numbers and the concept of absolute value.

    Objective: To understand the classification of numbers, perform arithmetic operations on them, and use them in various mathematical contexts.

2. Algebra

    Content: Introduction to algebraic expressions, equations, and inequalities. Includes simplifying expressions, solving linear and quadratic equations, and understanding algebraic identities.

    Objective: To develop skills in manipulating algebraic expressions, solving equations, and applying algebraic techniques to solve problems.

3. Coordinate Geometry

    Content: Basics of the Cartesian coordinate system, plotting points on a plane, distance formula, section formula, and the concept of the midpoint of a line segment.

    Objective: To learn how to represent and analyze geometric shapes and relationships using coordinate systems.

4. Geometry

    Content: Fundamental concepts of geometry including angles, triangles, quadrilaterals, circles, and their properties. Also covers congruence and similarity of shapes.

    Objective: To understand geometric principles, prove geometric theorems, and apply these concepts to solve geometric problems.

5. Trigonometry

    Content: Introduction to trigonometric ratios (sine, cosine, tangent), and their applications in right angled triangles. Includes solving problems involving heights and distances.

    Objective: To understand trigonometric ratios and their practical applications in solving real life problems involving angles and distances.

6. Mensuration

    Content: Measurement of geometric figures including surface area and volume of solids like cubes, cuboids, cylinders, cones, and spheres. Also covers the perimeter and area of plane figures.

    Objective: To calculate dimensions, surface areas, and volumes of various geometric shapes and apply these calculations to practical problems.

7. Statistics and Probability

    Content: Basics of statistics including mean, median, mode, and range. Introduction to probability concepts, including experiments, sample spaces, and simple events.

    Objective: To analyze data using statistical measures and understand basic probability concepts to make predictions and assess likelihoods.

8. Commercial Mathematics

    Content: Application of mathematical principles to real world commercial problems, including percentages, profit and loss, discount, and simple interest.

    Objective: To apply mathematical concepts to solve problems related to business and finance.

9. Introduction to Calculus

    Content: Basic concepts of calculus, including limits and derivatives. Introduction to the notion of a function and its rate of change.

    Objective: To understand the foundational concepts of calculus and how they apply to changes in functions and rates.

10. Logical Reasoning

     Content: Development of reasoning skills through problems involving patterns, sequences, and logical deduction. Includes syllogisms, analogies, and logical puzzles.

     Objective: To enhance problem solving skills and logical thinking through structured reasoning and pattern recognition.

11. Sets

     Content: Introduction to the concept of sets, including types of sets (finite, infinite, subsets), set operations (union, intersection, difference), and Venn diagrams.

     Objective: To understand the basics of set theory and apply set operations to solve problems involving collections of objects.

12. Relations and Functions

     Content: Basics of relations and functions, including domain, range, and types of functions (one-to-one, onto, etc.). Introduction to function notation and graphing functions.

     Objective: To grasp the concepts of relations and functions, and understand how to use and interpret function notation and graphs.