CBSE Syllabus 2022 for Class 10 Maths Download PDF: The subject of mathematics is considered a core subject even after being part of the CBSE 10 Syllabus. it is quite obvious that the subject needs special attention and effort from the student.
The students are advised to make sure that they prepare themselves for the examination specifically and strictly based upon the official CBSE 10th Maths Syllabus. The students must also make sure that they must practice the portion that contains the highest numbers of marks in the examination.
In this article, we have derived for you every unit and the total marks that are allocated to each unit. which will be helpful for the students to take an overview and also make the base for the preparations of the exams.
Click Here to download CBSE Question Paper for better preparation.
|Name of The Unit||Name of The Chapter|
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Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples,
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.
Standard form of a quadratic equation ax²+ bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots.
|ARITHMETIC PROGRESSIONS |
Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.
|UNIT III: COORDINATE GEOMETRY|
LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.
|UNIT IV: GEOMETRY|
Definitions, examples, counter examples of similar triangles.
Tangent to a circle at, point of contact
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the
1. Division of a line segment in a given ratio (internally).
|UNIT V: TRIGONOMETRY|
1. INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0° and 90° . Values of the trigonometric ratios of 30° , 45° and 60°
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin²A + cos²A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression.
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.
|UNIT VI: MENSURATION|
1. AREAS RELATED TO CIRCLES
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should
2. SURFACE AREAS AND VOLUMES
1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
|UNIT VII: STATISTICS AND PROBABILITY||1. STATISTICS|
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.2. PROBABILITYClassical definition of probability. Simple problems on finding the probability of an
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