# CBSE Class 9 Maths and Science Syllabus for 2019-20 Exams

CBSE Class 9 Syllabus For Maths And Science: CBSE students of Class 9 must have a clear idea about the CBSE Class 9 syllabus. In this article, we will provide you with the detailed CBSE Class 9 syllabus for Maths and ScienceUnit-wise distribution of marks and chapters and concepts under each unit will also be given. Maths and Science are important subjects especially for students who want to appear in exams like NTSE and Olympiads. Also, these subjects form the foundation for students who want to take Science stream in Class 11-12 and appear in engineering and medical entrance exams, like JEE, BITSAT, NEET, and AIIMS. Read on to find out the detailed CBSE Class 9 syllabus for Mathematics and Science.

Latest CBSE syllabus for class 9 Maths gives details of topics and lessons to be prepared throughout the year. It also mentions the unit-wise weightage and question paper design for the annual examinations. It is possible that schools follow the same pattern while preparing the question papers for mid –term examinations. With this article, students may read and download the CBSE Class 9 Maths Syllabus 2019-20.

## CBSE Class 9 Syllabus For Maths And Science

The CBSE Class 9 annual exam for Maths and Science is conducted for a total marks of 80 each. The other 20 marks is for Internal Assessment. Let us now see the unit-wise marks distribution and detailed CBSE Class 9 syllabus for Maths and Science.

### CBSE Class 9 Syllabus For Maths

Let us first look at the different units in the CBSE Class 9 syllabus for Maths:

 CBSE Class 9 Syllabus: Unit-wise Marks Distribution Units Marks Unit 1: Number Systems 08 Unit 2: Algebra 17 Unit 3: Coordinate Geometry 04 Unit 4: Geometry 28 Unit 5: Mensuration 13 Unit 6: Statistics & Probability 10 Total 80

#### Detailed CBSE Class 9 Syllabus For Maths

 CBSE Class 9 Syllabus Unit 1: Number Systems 1. Real Numbers  (18 Periods)1. Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers. 2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as  and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number. 3. Definition of nth root of a real number. 4. Existence of  for a given positive real number x and its representation on the number line with geometric proof. 5. Rationalization (with precise meaning) of real numbers of the type   (and their combinations) where x and y are natural number and a and b are integers. 6. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.) Unit 2: Algebra 1. Polynomials  (23 Periods)Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities: (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx (x ± y)3 = x3 ± y3 ± 3xy (x ± y) x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx) and their use in factorization of polynomials. 2. Linear Equations in Two Variables (14 Periods) Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c = 0. Prove that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line. Graph of linear equations in two variables. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously. Unit 3: Coordinate Geometry 1. Coordinate Geometry (6 Periods)The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane. Unit 4: Geometry 1. Introduction to Euclid’s Geometry (6 Periods)History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example: (Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem)  2. (Prove) Two distinct lines cannot have more than one point in common. 2. Lines and Angles (13 Periods) 1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180oand the converse. 2. (Prove) If two lines intersect, vertically opposite angles are equal. 3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines. 4. (Motivate) Lines which are parallel to a given line are parallel. 5. (Prove) The sum of the angles of a triangle is 180o. 6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. 3. Triangles (20 Periods) 1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle (RHS Congruence). 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal. 7. (Motivate) Triangle inequalities and relation between ‘angle and facing side’ inequalities in triangles. 4. Quadrilaterals (10 Periods) 1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram opposite sides are equal, and conversely. 3. (Motivate) In a parallelogram opposite angles are equal, and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse. 5. Area (7 Periods) Review concept of area, recall area of a rectangle. 1. (Prove) Parallelograms on the same base and between the same parallels have the same area. 2. (Motivate) Triangles on the same (or equal base) base and between the same parallels are equal in area. 6. Circles (15 Periods) Through examples, arrive at definition of circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle. 1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse. 2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) There is one and only one circle passing through three given non-collinear points. 4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely. 5. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. 6. (Motivate) Angles in the same segment of a circle are equal. 7. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 8. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180oand its converse. 7. Constructions (10 Periods) 1. Construction of bisectors of line segments and angles of measure 60o, 90o, 45o etc., equilateral triangles. 2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle. 3. Construction of a triangle of given perimeter and base angles. Unit 5: Mensuration 1. Areas (4 Periods)Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral. 2. Surface Areas and Volumes (12 Periods) Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and  right circular cylinders/cones. Unit 6: Statistics & Probability 1. Statistics (13 Periods)Introduction to Statistics: Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons. Mean, median and mode of ungrouped data. 2. Probability (9 Periods) History, repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real life situations, and from examples used in the chapter on statistics).

NCERT Solutions for Class 9 Maths

### CBSE Class 9 Syllabus For Science

The marks distribution for every unit in the CBSE Class 9 syllabus for Science are tabulated below:

 CBSE Class 9 Syllabus: Unit-wise Marks Distribution Units Marks Unit 1: Matter – Its Nature And Behavior 23 Unit 2: Organisation In The Living world 20 Unit 3: Motion, Force, And Work 27 Unit 4: Our Environment 06 Unit 5: Food Production 04 Total 80

#### Detailed CBSE Class 9 Syllabus For Science

 CBSE Class 9 Syllabus Unit 1: Matter – Its Nature And Behavior (50 Periods) Definition of matter; solid, liquid and gas; characteristics – shape, volume, density; change of state-melting (absorption of heat), freezing, evaporation (cooling by evaporation), condensation, sublimation.Nature of matter: Elements, compounds and mixtures. Heterogeneous and homogenous mixtures, colloids and suspensions. Particle nature, basic units: Atoms and molecules, Law of constant proportions, Atomic and molecular masses. Mole concept: Relationship of mole to mass of theparticles and numbers. Structure of atoms: Electrons, protons and neutrons, valency, chemical formula of common compounds. Isotopes and Isobars. Unit 2: Organisation In The Living World (45 Periods) Cell – Basic Unit of life: Cell as a basic unit of life; prokaryotic and eukaryotic cells, multicellular organisms; cell membrane and cell wall, cell organelles and cell inclusions; chloroplast, mitochondria, vacuoles, endoplasmic reticulum, Golgi apparatus; nucleus, chromosomes – basic structure, number.Tissues, Organs, Organ System, Organism: Structure and functions of animal and plant tissues (only four types of tissues in animals; Meristematic and Permanent tissues in plants). Biological Diversity: Diversity of plants and animals – basic issues in scientific naming, basis of classification. Hierarchy of categories / groups, Major groups of plants (salient features) (Bacteria, Thallophyta, Bryophyta, Pteridophyta, Gymnosperms and Angiosperms). Major groups of animals (salient features) (Nonchordates upto phyla and chordates upto classes). Health and Diseases: Health and its failure. Infectious and Non-infectious diseases, their causes and manifestation. Diseases caused by microbes (Virus, Bacteria and Protozoans) and their prevention; Principles of treatment and prevention. Pulse Polio programmes. Unit 3: Motion, Force, And Work (60 Periods) Motion: Distance and displacement, velocity; uniform and non-uniform motion along a staight line; acceleration, distance-time and velocity-time graphs for uniform motion and uniformly accelerated motion, derivation of equations of motion by graphical method; elementary idea of uniform circular motion.Force and Newton’s laws: Force and Motion, Newton’s Laws of Motion, Action and reaction forces, Inertia of a body, Inertia and mass, Momentum, Force and Acceleration. Elementary idea of conservation of Momentum. Gravitation: Gravitation; Universal Law of Gravitation, Force of Gravitation of the earth (gravity), Acceleration due to Gravity; Mass and Weight; Free fall. Floatation: Thrust and Pressure. Archimedes’ Principle; Buoyancy; ElementaryIdea of Relative Density. Work, energy and power: Work done by a Force, Energy, Power; Kinetic andPotential energy; Law of conservation of energy. Sound: Nature of sound and its propagation in various media, speed of sound, range of hearing in humans; ultrasound; reflection of sound; echo and SONAR. Structure of the Human Ear (Auditory aspect only). Unit 4: Our Environment (15 Periods) Physical resources: Air, Water, Soil. Air for respiration, for combustion, for moderating temperatures; movements of air and its role in bringing rains across India. Air, Water and Soil pollution (brief introduction). Holes in ozone layer and the probable damages.Bio-geo chemical cycles in nature: Water, Oxygen, Carbon and Nitrogen. Unit 5: Food Production (10 Periods) Plant and animal breeding and selection for quality improvement and management; Use of fertilizers and manures; Protection from pests and diseases; Organic farming.

It is to be noted that out of 80 marks annual exam of Science, 68 marks are for theory and 12 marks for practicals. Let us now look at the CBSE Class 9 syllabus for Science practicals.

NCERT Solutions for Class 9 Science

#### CBSE Class 9 Syllabus For Science Practicals

 CBSE Class 9 Syllabus For Science Practicals List Of Experiments 1. Preparation of:(a) A true solution of common salt, sugar and alum (b) A suspension of soil, chalk powder and fine sand in water (c) A colloidal solution of starch in water and egg albumin/milk in water and distinction between these on the basis of:    i. Transparency    ii. Filtration criterion    iii. Stability 2. Preparation of (a) A mixture (b) A compound using iron filings and sulphur powder and distinction between these on the basis of:    i. Appearance, i.e., homogeneity and heterogeneity    ii. Behaviour towards a magnet    iii. Behaviour towards carbon disulphide as a solvent    iv. Effect of heat 3. Separation of the components of a mixture of sand, common salt and ammonium chloride (or camphor). 4. Performing the following reactions and classifying them as physical or chemical changes : (a) Iron with copper sulphate solution in water (b) Burning of magnesium ribbon in air (c) Zinc with dilute sulphuric acid (d) Heating of copper sulphate crystals (e) Sodium sulphate with barium chloride in the form of their solutions in water. 5. Preparation of stained temporary mounts of (a) onion peel, (b) human cheek cells & to record observations and draw their labeled diagrams. 6. Identification of Parenchyma, Collenchyma and Sclerenchyma tissues in plants, striped, smooth and cardiac muscle fibers and nerve cells in animals from prepared slides. Drawing of their labeled diagrams. 7. Determination of the melting point of ice and the boiling point of water. 8. Verification of the Laws of reflection of sound. 9. Determination of the density of solid (denser than water) by using a spring balance and a measuring cylinder. 10. Establishing the relation between the loss in weight of a solid when fully immersed in (a) Tap water (b) Strongly salty water, with the weight of water displaced by it by taking at least two different solids. 11. Determination of the speed of a pulse propagated through a stretched string /slinky. 12. Study of the characteristics of Spirogyra / Agaricus, Moss / Fern, Pinus (either with male or female cone) and an Angiospermic plant. Drawing and providing two identifying features of the groups they belong to. 13. Observing the given pictures / charts / models of earthworm, cockroach, bony fish and bird. For each organism, drawing of their picture and recording: (a) One specific feature of its phylum. (b) One adaptive feature with reference to its habitat. 14. Verification of the law of conservation of mass in a chemical reaction. 15. Study of the external features of root, stem, leaf and flower of monocot and dicot plants.

Internal Assessment will be conducted as per the following marks distribution:

 Internal Assessment 20 Marks Pen Paper Test and Multiple Assessment (5+5) 10 Marks Portfolio 05 Marks Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

PRESCRIBED BOOKS:

 1. Mathematics – Textbook for class IX – NCERT Publication 3. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication 4. Laboratory Manual – Mathematics, secondary stage – NCERT Publication 5. Mathematics exemplar problems for class IX, NCERT publication

Now that you have a detailed knowledge of all the chapters and concepts as well as the unit-wise marks distribution for CBSE Class 9 syllabus, your preparation will be easier.

We hope this article on CBSE Class 9 syllabus helps you. If you have any query regarding CBSE Class 9 syllabus for Maths and Science, drop a comment below and we will get back to you.