10th CBSE MATHAMETICS

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About Course

 Class 9 is a crucial stage of the academic career of a student. In this stage, various new subjects and topics are introduced that students need to prepare for. The preparation of these subjects will need the proper attention from the students along with the complete study material.

What Will You Learn?

  • Focus on every subject and other extracurricular activities like English, Physics, Maths, Volleyball, Debate and Elocution, etc. This will give you a better footing while you are choosing your course.

Course Content

REAL NUMBER (15 CLASSES)
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples

POLYNOMIALS (8 CLASSES)
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15 CLASSES)
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. Simple situational problems.

QUADRATIC EQUATIONS (15 CLASSES)
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. Situational problems based on quadratic equations related to day to day activities to be incorporated.

ARITHMETIC PROGRESSIONS (10 CLASSES)
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.

COORDINATE GEOMETRY ( 15 CLASSES)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

TRIANGLES ( 15 CLASSES)
Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

Circles (10 CLASSES)
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 point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

INTRODUCTION TO TRIGONOMETRY ( 10 CLASSES)
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 DEGREE and 90 DEGREE. Values of the trigonometric ratios of 30 DEGREE, 45 DEGREE and 60 DEGREE. Relationships between the ratios.

TRIGONOMETRIC IDENTITIES (15 CLASSES)
Proof and applications of the identity sin(SQUARE)A + cos(SQUARE)A = 1. Only simple identities to be given.

HEIGHTS AND DISTANCES (10 CLASSES)
Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

AREA REALATED TO CIRCLES (12 CLASSES)
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.

SURFACE AREAS AND VOLUMES (12 CLASSES)
Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

STATISTICS (18 CLASSES)
Mean, median and mode of grouped data (bimodal situation to be avoided).

PROBABILITY (10 CLASSES)
Classical definition of probability. Simple problems on finding the probability of an event.

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