Mathematics. Competent Level. Age 14-15. .10th Grade / Sophomore year / SS2

Grade 10 Mathematics is designed to provide students with a comprehensive understanding of fundamental mathematical concepts. The syllabus covers various topics including:

1. Real Numbers: Properties of integers, rational numbers, and irrational numbers.
2. Polynomials: Factorization, Remainder and Factor Theorems.
3. Linear Equations: In two variables, graphical representation.
4. Quadratic Equations: Solutions, nature of roots, and discriminant.
5. Arithmetic Progressions: Finding nth term and sum of n terms.
6. Triangles: Properties, congruence, similarity, and Pythagoras theorem.
7. Circles: Tangents, chords, and theorems related to circles.
8. Coordinate Geometry: Distance formula, section formula, and slope of a line.
9. Trigonometry: Ratios, trigonometric identities, and heights and distances.
10. Statistics: Mean, median, mode, and graphical representation of data.
11. Probability: Basic concepts and problems based on theoretical probability.

Throughout the course, emphasis is placed on problem-solving, reasoning, and understanding the applications of mathematical concepts in everyday life. The aim is to provide students with a strong foundation in mathematics to prepare them for higher studies and practical applications in various fields.