# Advanced Academic Class for 10th

### (Maths) 1hr

ScienceGenic is proud to offer the Advanced Academic Classroom Program, specifically designed to support students of grades 10th. This program delivers high-quality, in-depth education that prepares students for academic success and future opportunities. Here’s what makes our program exceptional.

Specialized Subject Teachers: Our program features highly qualified and specialized teachers for every subject area—Math, Science, Social Studies, and English. These educators bring expert knowledge and passion to the classroom, ensuring students receive exceptional instruction tailored to each subject.

Supervised and Supported Teaching: The Advanced Academic Classroom Program is supervised to maintain teaching quality and effectiveness. Teachers receive ongoing support from the syllabus manager and psychologist to ensure a well-rounded and holistic approach to education.

Integrated Communication Channels: We encourage seamless communication between the syllabus manager, psychologist, and teachers. This collaborative approach ensures a comprehensive learning experience that considers both academic and emotional well-being.

Deep Understanding of Subject Knowledge: Our curriculum goes beyond surface-level learning to provide students with an in-depth understanding of each subject. Through advanced concepts and challenging topics, students develop critical thinking and analytical skills.

Personalized Guidance and Support: Recognizing individual learning styles and needs, we offer personalized guidance to help students excel. Our collaborative team works closely with students to provide targeted support and address any areas for improvement.

Regular Assessments and Feedback: We believe in continuous improvement. Regular assessments help track student progress and provide valuable feedback. This information guides our teaching strategies, ensuring students stay on track and continue to grow.

Parental Engagement: We value open communication with parents and guardians. Through regular updates and feedback, we keep you informed about your child’s progress and involve you in their educational journey.

Empower your 10th grader with the Advanced Academic Classroom Program at ScienceGenic. Enroll today and give your child the opportunity to excel in their studies and develop the skills needed for future success.

### Mathematics Class 10 Syllabus CBSE

UNIT I: NUMBER SYSTEMS

REAL NUMBER

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of

UNIT II: ALGEBRA

POLYNOMIALS

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

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. Simple situational problems.

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 to be incorporated.

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

Coordinate Geometry

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

UNIT IV: 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.

CIRCLES

Tangent to a circle at, the 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.

UNIT V: TRIGONOMETRY

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 0o and 90o. 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.

HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods

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°.

UNIT VI: MENSURATION

AREAS RELATED TO CIRCLES

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

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

UNIT VII: STATISTICS AND PROBABILITY

STATISTICS

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

PROBABILITY

The classical definition of probability. Simple problems on finding the probability of an event.