Maths syllabus of скачать в хорошем качестве

Maths syllabus of

​The CBSE Class 10 Maths syllabus is divided into seven units, covering a wide range of topics from number systems to statistics and probability. The total marks for the subject are 100, with 80 marks for the theory paper and 20 marks for internal assessment. The internal assessment includes components like periodic tests, portfolio work, and lab practicals. ​📚 Unit-Wise Syllabus and Marks Distribution ​Here is a detailed breakdown of the units, their chapters, and their respective weightage in the board examination. ​I. Number Systems (6 Marks) ​Real Numbers: This unit focuses on the Fundamental Theorem of Arithmetic and proving the irrationality of numbers like \sqrt{2}, \sqrt{3}, and \sqrt{5}. ​II. Algebra (20 Marks) 💰 (This unit has the highest weightage!) ​Polynomials: You'll study the zeros of a polynomial and the relationship between the zeros and coefficients of a quadratic polynomial. ​Pair of Linear Equations in Two Variables: Topics include graphical and algebraic methods of solving linear equations, conditions for a number of solutions, and situational problems. ​Quadratic Equations: This unit covers the standard form of a quadratic equation, solutions by factorization and the quadratic formula, and the relationship between the discriminant and the nature of roots. ​Arithmetic Progressions (AP): This involves understanding the concept of an AP, deriving the formulas for the n^{th} term and the sum of the first n terms. ​III. Coordinate Geometry (6 Marks) ​Coordinate Geometry: This unit revisits basic concepts and introduces the distance formula and the section formula for internal division. ​IV. Geometry (15 Marks) ​Triangles: Key topics include similar figures, the Basic Proportionality Theorem, and the criteria for the similarity of triangles. You'll also study theorems related to the areas of similar triangles and the Pythagoras Theorem. ​Circles: This unit focuses on the properties of a tangent to a circle and the number of tangents from a point on a circle. ​V. Trigonometry (12 Marks) ​Introduction to Trigonometry: You'll learn the trigonometric ratios of an acute angle in a right-angled triangle and the values of trigonometric ratios for specific angles (0°, 30°, 45°, 60°, and 90°). ​Trigonometric Identities: This section covers proofs and applications of the identity \sin^2\theta + \cos^2\theta = 1. ​Heights and Distances: This is the practical application of trigonometry to solve problems involving angles of elevation and depression. ​VI. Mensuration (10 Marks) ​Areas Related to Circles: This includes finding the areas of sectors and segments of a circle. ​Surface Areas and Volumes: This unit covers the surface areas and volumes of combinations of basic solid shapes like cubes, cuboids, spheres, hemispheres, and cylinders/cones. ​VII. Statistics and Probability (11 Marks) ​Statistics: You will learn how to find the mean, median, and mode of grouped data. ​Probability: The concept of probability as a measure of chance will be explored, along with the classical definition of probability. ‪@prepedgecbse‬ ‪@Ratnakarsinghmathematics‬ @cbse syllabus