Online Math CBSE and Olympiad Classes Syllabus for Grade 10

Olympiads are the stepping stones to achieve better results in the competitive world that lies ahead in the life of the child. Math Olympiad examinations help students to improve their mathematical skills along with their analytical and problem solving abilities. Along with that CBSE syllabus also plays a crucial role in the same.

Hence, Olympiad Success Live has designed a long-term course for Mathematics preparation which includes both CBSE syllabus and Olympiad for class 10. This long-term course will help in building the foundation of the child. For this, we have done great efforts in finding the tutor for class 10 Math CBSE and Olympiad preparation with relevant background and experience.

If you are interested in purchasing this course, then please Enrol Now. You will be redirected to the batch detail page, wherein you can see all the details like batch start and demo dates, fess and the registration link related to Math CBSE and Olympiad for class 10 course.

The curriculum of grade 10 CBSE Mathematics aims at enhancing the capacity of students to employ Mathematics in solving day-to-day life problems. It also inculcates interest in the students to study the grade 10 Maths subject as a separate discipline.

The students of grade 10, after the completion of this course,

  • acquire the ability to solve problems using algebraic methods
  • apply the knowledge of simple trigonometry to solve problems of height and distances
  • carry out experiments with numbers and forms of geometry, framing hypothesis and verifying these with further observations

The proposed curriculum for grade 10 CBSE can be checked below. For Olympiads preparation, you can check the syllabus here!

The objectives of the grade 10 Maths CBSE course is to help students to : 

  • consolidate the Mathematical knowledge and skills acquired at the upper primary stage
  • acquire knowledge and understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles and symbols and underlying processes and skills
  • develop mastery of basic algebraic skills
  • develop drawing skills
  • feel the flow of reason while proving a result or solving a problem
  • apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method
  • develop the ability to think, analyze and articulate logically
  • develop an awareness of the need for national integration, protection of the environment, observance of small family norms, removal of social barriers, elimination of gender biases
  • develop necessary skills to work with modern technological devices and mathematical software
  • develop an interest in mathematics as a problem-solving tool in various fields for its beautiful structures and patterns, etc.
  • develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics
  • develop interest in the subject by participating in related competitions
  • acquaint students with different aspects of Mathematics used in daily life
  • develop an interest in students to study Mathematics as a discipline

We understand that the teaching of Mathematics should be imparted through activities that may involve the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles and experiments. Hence, keeping in mind the curricular expectations, Olympiad Success Live has designed a course for CBSE and Olympiads Maths preparation for class 10 students. And for this, we have the right set of tutors with relevant backgrounds and experience for class 10 Maths CBSE and Olympiads preparation.

If you are interested in enrolling in this grade 10 CBSE and Olympiads Math course, then you can pay the fees here. After payment, kindly WhatsApp us your name, class and subject at +91 95607 64447. 

Syllabus

FIRST TERM

UNIT-NUMBER SYSTEMS

  • REAL NUMBER
    • Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples.
    • Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

UNIT-ALGEBRA

  • POLYNOMIALS
    • Zeroes of a polynomial.
    • Relationship between zeroes and coefficients of quadratic polynomials only.
  • 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 and by elimination.
    • Simple situational problems.
    • Simple problems on equations reducible to linear equations.

UNIT-COORDINATE GEOMETRY

  • COORDINATE GEOMETRY
    • LINES (In two-dimensions)
      • Concepts of coordinate geometry, graphs of linear equations.
      • Distance formula.
      • Section formula (internal division)

UNIT-GEOMETRY

  • TRIANGLES
    • Definitions, examples, counter examples of similar triangles.
    • (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.
    • (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
    • (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
    • (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
    • (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.
    • (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
    • (Motivate) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
    • (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
    • (Motivate) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle.

UNIT- TRIGONOMETRY

  • INTRODUCTION TO TRIGONOMETRY
    • Trigonometric ratios of an acute angle of a right-angled triangle.
    • Proof of their existence (well defined).
    • Values of the trigonometric ratios of 300, 450 and 600.
    • Relationships between the ratios.
  • TRIGONOMETRIC IDENTITIES
    • Proof and applications of the identity sin2A + cos2A = 1.
    • Only simple identities to be given

UNIT-MENSURATION

  • 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. 

UNIT- STATISTICS & PROBABILITY

  • PROBABILITY
    • Classical definition of probability.
    • Simple problems on finding the probability of an event.

SECOND TERM

UNIT-ALGEBRA

  • QUADRATIC 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.
    • Situational problems based on quadratic equations related to day to day activities
  • 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- GEOMETRY

  • CIRCLES
    • Tangent to a circle at, point of contact
    • (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
    • (Prove) The lengths of tangents drawn from an external point to a circle are equal.
  • CONSTRUCTIONS
    • Division of a line segment in a given ratio (internally).
    • Tangents to a circle from a point outside it.

UNIT-TRIGONOMETRY

  • SOME APPLICATIONS OF TRIGONOMETRY
  • HEIGHTS AND DISTANCES
    • Angle of elevation
    • Angle of Depression
    • Simple problems on heights and distances.

UNIT-MENSURATION

  • SURFACE AREAS AND VOLUMES
    • Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
    • Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).

UNIT-STATISTICS & PROBABILITY

  • STATISTICS
    • Mean, median and mode of grouped data 
    • Mean by Direct Method and Assumed Mean Method only

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