1. Real Numbers

 Content: Fundamental theorem of arithmetic, Euclid’s division lemma, rational and irrational numbers, and decimal expansions.

 Objective: To understand the properties of real numbers and apply these concepts in problem solving.

 2. Polynomials

 Content: Polynomials in one variable, degree of a polynomial, the relationship between zeros and coefficients of quadratic polynomials, and division algorithm for polynomials.

 Objective: To learn about polynomials, their operations, and the significance of their zeros.

 3. Pair of Linear Equations in Two Variables

 Content: Graphical and algebraic methods (substitution, elimination, cross multiplication) of solving a pair of linear equations, and conditions for consistency.

 Objective: To develop skills in solving linear equations and understanding their graphical interpretations.

 4. Quadratic Equations

 Content: Standard form of quadratic equations, methods of solving quadratic equations (factorization, completing the square, quadratic formula), and the nature of roots.

 Objective: To solve quadratic equations and analyze their solutions.

 5. Arithmetic Progressions

 Content: Definition of arithmetic progression (AP), the nth term, and the sum of the first n terms of an AP.

 Objective: To explore sequences and series and solve related problems using arithmetic progressions.

 6. Triangles

 Content: Similarity of triangles, criteria for similarity (AAA, SSS, SAS), Pythagoras theorem, and properties of triangles.

 Objective: To understand the concept of similarity in geometry and apply it to solve problems related to triangles.

 7. Coordinate Geometry

 Content: Concepts of the coordinate plane, distance formula, section formula, and the area of a triangle using coordinates.

 Objective: To analyze geometric figures using algebraic methods in the coordinate plane.

 8. Introduction to Trigonometry

 Content: Trigonometric ratios, identities, and the relationship between the sides and angles of a right triangle.

 Objective: To grasp the basics of trigonometry and its application in solving problems involving right triangles.

 9. Some Applications of Trigonometry

 Content: Applications of trigonometry in reallife situations like heights and distances (angle of elevation and depression).

 Objective: To apply trigonometric concepts to solve practical problems related to heights and distances.

 10. Circles

 Content: Tangents to a circle, properties of tangents, and theorems related to tangents and circles.

 Objective: To study the properties of circles and tangents and their applications in geometric problems.

 11. Areas Related to Circles

 Content: Area and perimeter of a circle, area of sectors and segments, and areas of combinations of plane figures.

 Objective: To calculate areas of circular shapes and understand their real world applications.

 12. Surface Areas and Volumes

 Content: Surface areas and volumes of 3D shapes like cubes, cuboids, spheres, cylinders, cones, and frustums.

 Objective: To solve problems related to the surface areas and volumes of various solid shapes.

 13. Statistics

 Content: Mean, median, mode of grouped data, and the graphical representation of data (histograms, cumulative frequency graphs).

 Objective: To collect, represent, and analyze data using statistical methods.

 14. Probability

 Content: Theoretical probability, empirical probability, and experiments involving coins, dice, and cards.

 Objective: To understand the basic concepts of probability and apply them to realworld scenarios.