Mathematics, Physics and Chemistry for Class 9th (9th+Foundation)

Math:

 

Number Systems: This unit introduces the concepts of real numbers, rational and irrational numbers, decimal expansion of rational
numbers, terminating and non-terminating recurring decimals, representation of rational numbers on a number line, operations on real numbers, laws of
exponents, rationalization of real numbers, and comparison of surds.

 

Algebra: This unit deals with the algebraic expressions and equations, and their properties. It covers the topics such as
polynomials, zeros of a polynomial, remainder theorem, factor theorem, algebraic identities, factorization of polynomials, linear equations in two
variables, solution of a pair of linear equations by graphical method, substitution method, elimination method, and cross-multiplication method.

 

Coordinate Geometry: This unit explores the geometry of curves and lines in two dimensions. It covers the topics such as Cartesian
system of rectangular coordinates, plotting of points in the plane, distance formula, section formula, area of a triangle, and collinearity of three points.

 

Geometry: This unit studies the properties of angles, triangles, quadrilaterals, circles, and constructions. It covers the topics
such as lines and angles, parallel lines and transversal, angle sum property of a triangle, exterior angle property of a triangle, congruence of triangles,
criteria for congruence of triangles, properties of congruent triangles, inequalities in a triangle, quadrilaterals, angle sum property of a
quadrilateral, types of quadrilaterals and their properties, circles, angle subtended by a chord at a point, perpendicular from the center to a chord,
circle through three points, equal chords and their distances from the center, angle subtended by an arc of a circle, cyclic quadrilaterals, and basic
constructions.

 

Mensuration: This unit deals with the measurement of area and volume of various plane and solid figures. It covers the topics such
as area of a triangle using Heron’s formula, area of a quadrilateral, area of a polygon, surface area and volume of a cuboid, a cube, a right circular
cylinder, a right circular cone, and a sphere.

 

Statistics and Probability: This unit deals with the concepts of statistics and probability, and their applications. It covers the
topics such as collection and presentation of data, graphical representation of data, measures of central tendency, mean, median and mode of ungrouped and grouped data, cumulative frequency, cumulative frequency distribution, and cumulative frequency curves (ogives), probability of an event, empirical probability, classical definition of probability, and complementary events.

 

Physics:

 

Motion: This topic deals with the concepts of motion, distance, displacement, speed, velocity, acceleration, equations of motion,
graphical representation of motion, and uniform circular motion.

 

Force and Laws of Motion: This topic deals with the concepts of force, balanced and unbalanced forces, inertia, Newton’s laws of
motion, momentum, conservation of momentum, and applications of Newton’s laws of motion.

 

Gravitation: This topic deals with the concepts of gravitation, universal law of gravitation, free fall, acceleration due to
gravity, mass and weight, thrust and pressure, Archimedes’ principle, buoyancy, relative density, and applications of Archimedes’ principle.

 

Work and Energy: This topic deals with the concepts of work, energy, kinetic energy, potential energy, power, conservation of energy,
and commercial unit of energy.

 

Sound: This topic deals with the concepts of sound, production and propagation of sound, characteristics of sound, reflection of sound, echo, reverberation, applications of multiple reflections of sound, range of hearing, ultrasound, and applications of ultrasound.

 

Chemistry:

Matter in Our Surroundings: This chapter explores the characteristics of particles of matter, the different states of matter, and the
process of evaporation.

 

Is Matter Around Us Pure?: It delves into the composition of mixtures, solutions, and the methods used to separate the
components of a mixture. It also covers the distinction between physical and
chemical changes.

 

Atoms and Molecules: This section introduces the laws of chemical combination, the concept of atoms and molecules, and the mole
concept, which is pivotal in understanding the quantitative aspects of chemical
composition.

 

Structure of the Atom: The chapter discusses various atomic models including Thomson’s, Rutherford’s, and Bohr’s models. It also
explains concepts such as valency, atomic number, mass number, and isotopes.