1. Number Systems

 Content: Introduces various types of numbers (natural, whole, integers, rational, and irrational) and their properties.

 Objective: Understand the concept of number systems and their representations on the number line.

 2. Polynomials

 Content: Covers the definition and types of polynomials, operations on polynomials, and the concept of zeroes of a polynomial.

 Objective: Learn how to perform operations on polynomials and understand their graphical representation.

 3. Coordinate Geometry

 Content: Introduces the Cartesian plane, plotting points, and the distance formula.

 Objective: Understand the basics of coordinate geometry and how to plot points in a two dimensional space.

 4. Linear Equations in Two Variables

 Content: Discusses linear equations, their graphical representation, and methods to solve them.

 Objective: Learn to represent and solve linear equations in two variables both algebraically and graphically.

 5. Introduction to Euclid’s Geometry

 Content: Introduces basic concepts of Euclidean geometry, including definitions, axioms, and postulates.

 Objective: Understand fundamental principles of Euclidean geometry and their application in proofs.

 6. Lines and Angles

 Content: Covers types of angles, relationships between angles, and properties of parallel lines cut by a transversal.

 Objective: Learn to identify and calculate angles and apply their properties in geometric problems.

 7. Triangles

 Content: Discusses the properties of triangles, congruence criteria, and the various types of triangles based on sides and angles.

 Objective: Understand triangle properties, congruence criteria, and apply them in solving problems.

 8. Quadrilaterals

 Content: Covers properties of quadrilaterals, types of quadrilaterals, and the relationship between their angles.

 Objective: Learn the characteristics of various quadrilaterals and how to calculate their properties.

 9. Circles

 Content: Introduces the basic elements of circles, properties, and theorems related to angles and chords.

 Objective: Understand the properties of circles and apply them to solve problems involving circles.

 10. Heron’s Formula

 Content: Explains Heron's formula for calculating the area of a triangle when the lengths of all three sides are known.

 Objective: Learn to apply Heron’s formula to find the area of triangles in various contexts.

 11. Surface Areas and Volumes

 Content: Covers the calculation of surface areas and volumes of various 3D shapes (cubes, cuboids, cylinders, cones, and spheres).

 Objective: Understand how to calculate surface areas and volumes of solid shapes and their applications.

 12. Statistics

 Content: Introduces statistical data representation, measures of central tendency (mean, median, mode), and their interpretations.

 Objective: Learn to organize and analyze data using statistical methods and draw meaningful conclusions.