1. Rational and Irrational Numbers

 Content: Introduction to rational numbers (fractions, terminating and repeating decimals) and irrational numbers (nonterminating, nonrepeating decimals).

 Objective: To understand the difference between rational and irrational numbers and their properties.

 2. Parallel Lines and Transversals

 Content: Exploration of parallel lines cut by a transversal, angle relationships (alternate interior, corresponding angles, etc.).

 Objective: To identify and apply properties of angles formed when parallel lines are intersected by a transversal.

 3. Indices and Cube Root

 Content: Laws of indices and cube roots, including how to simplify expressions using these concepts.

 Objective: To develop skills in working with exponents and understanding the cube root operation.

 4. Altitudes and Medians of a Triangle

 Content: Definitions and properties of altitudes and medians, including construction techniques.

 Objective: To understand the significance of altitudes and medians in triangles and how to calculate them.

 5. Expansion Formulae

 Content: Introduction to algebraic identities and expansion formulae (e.g., (a + b)², (a  b)²).

 Objective: To learn how to expand algebraic expressions using formulae.

 6. Factorisation of Algebraic Expressions

 Content: Techniques for factorizing algebraic expressions, including common factors and special products.

 Objective: To develop skills in simplifying expressions through factorization.

 7. Variation

 Content: Concept of direct and inverse variation, with applications in real world scenarios.

 Objective: To understand how quantities vary in relation to one another and apply these concepts to solve problems.

 8. Quadrilateral: Constructions and Types

 Content: Classification of quadrilaterals (parallelograms, rectangles, squares, etc.) and construction techniques.

 Objective: To identify and construct different types of quadrilaterals and understand their properties.

 9. Discount and Commission

 Content: Calculating discounts, commissions, and their applications in financial contexts.

 Objective: To understand and apply the concepts of discount and commission in reallife situations.

 10. Division of Polynomials

 Content: Methods for dividing polynomials, including long division and synthetic division.

 Objective: To gain proficiency in dividing polynomials and understanding polynomial functions.

 11. Statistics

 Content: Introduction to statistics, including collection, organization, and interpretation of data; measures of central tendency (mean, median, mode).

 Objective: To analyze data and derive meaningful insights using statistical methods.

 12. Equations in One Variable

 Content: Solving linear equations in one variable, including applications and word problems.

 Objective: To develop problem solving skills through the formulation and solving of equations.

 13. Congruence of Triangles

 Content: Criteria for triangle congruence (SSS, SAS, ASA, AAS) and applications.

 Objective: To understand triangle congruence and its significance in geometry.

 14. Compound Interest

 Content: Calculating compound interest using formulas and understanding its applications.

 Objective: To learn how to compute compound interest and apply it in financial calculations.

 15. Area

 Content: Calculating the area of various geometric shapes (triangles, rectangles, circles, etc.).

 Objective: To develop skills in determining area for different shapes and their applications.

 16. Surface Area and Volume

 Content: Formulas for calculating the surface area and volume of 3D shapes (cubes, cylinders, cones, spheres).

 Objective: To understand and calculate the surface area and volume of various threedimensional figures.

 17. Circle: Chord and Arc

 Content: Concepts of chords, arcs, and their properties within a circle.

 Objective: To explore the relationships between chords, arcs, and angles in circles.