Syllabus. Class - IX ( ) MATHEMATICS SYLLABUS PLAN ( )

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1 Syllabus Class - IX ( ) MATHEMATICS SYLLABUS PLAN ( ) U NI T I NANE OF UNIT NUMBER SYSTEM NAME OF THE CHAPTER 1 REAL NUMBE RS CONTENTS OF THE CHAPTER 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. Examples of non-recurring / non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as 2, 3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number.existence of x for a given positive real number x (visual proof to be emphasized).definition of nth root of a real number. 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.)rationalization (with precise meaning) of real numbers of the type 1/(a+b x) and 1/( x+ y) (and their combinations) where x and y are natural number and a and b are integers. N0. OF PERIOD REQUIRED 20 APRIL MAY TIME OF COMPLETION II ALGEBRA 1 POLYN OMIAL S 2 LINEAR EQUATI ONS IN 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 ax 2 + 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. Further verification of identities of the type (x + y + z) 2 = x 2 + y 2 + z 2 + 2xy + 2yz + 2zx, (x ± y) 3 = x 3 ± y 3 ± 3xy (x ± y), x³ ± y³ = (x ± y) (x² ± xy + y²), x 3 + y 3 + z 3-3xyz = (x + y + z) (x 2 + y 2 + z 2 - xy - yz - zx) and their use in factorization of polynomials. Simple expressions reducible to these polynomials. 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 25 15

2 III COORDINA TE GEOMETRY TWO VARIA BLES 1 COOR DINATE GEOM ETRY IV GEOMETRY 1 INTROD UCTIO N TO EUCLID S GEOM ETRY 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 seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously. The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane. 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 LINES AND ANGLE S (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180 and the converse.(prove) If two lines intersect, vertically opposite angles are equal.(motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.(motivate) Lines which are parallel to a given line are parallel.(prove) The sum of the angles of a triangle is 180.(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. 15 JULY 3 TRIANG LES (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).(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).(Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).(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.(prove) The angles opposite to equal sides of a triangle are equal.(motivate) The sides opposite to equal angles of a triangle are equal.(motivate) Triangle inequalities and relation between 'angle and facing side' inequalities in triangles. 25 AUGUST

3 4 QUADR ILATER ALS (Prove) The diagonal divides a parallelogram into two congruent triangles.(motivate) In a parallelogram opposite sides are equal, and conversely.(motivate) In a parallelogram opposite angles are equal, and conversely.(motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.(motivate) In a parallelogram, the diagonals bisect each other and conversely.(motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse. 15 SEPTEMBER 5 AREA OF TRIANG LES AND PARALL ALOGR AMS 6 CIRCLE S Review concept of area, recall area of a rectangle.(prove) Parallelograms on the same base and between the same parallels have the same area.(motivate) Triangles on the same (or equal base) base and between the same parallels are equal in area. Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, secant, sector, segment subtended angle.(prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.(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.(motivate) There is one and only one circle passing through three given noncollinear points.(motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.(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.(motivate) Angles in the same segment of a circle are equal.(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.(motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180 and its converse OCTOBER 7 CONST RUCTIO NS Construction of bisectors of line segments and angles of measure 60, 90, 45 etc., equilateral triangles.construction of a triangle given its base, sum/difference of the other two sides and one base angle.construction of a triangle of given perimeter and base angles. 15 V MENSURATI ON 1 AREAS OF TRIANG Area of a triangle using Heron's formula (without proof) and its application in finding the area of a quadrilateral. 10

4 LES USING HRRON S FORMU LA 2 SURFA CE AREA AND VOLUM E VI STATISTICS 1 STATISTI CS VII PROBABILIT Y PROBA BILITY Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones. Introduction to Statistics: Collection of data, presentation of data - tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data 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). 20 NOVEMBER& DECEMBER JANUARU Political Science Class 9 Term 1 Chapter 1: Democracy in the contemporary world Chapter 2: What is Democracy? Why Democracy Chapter 3: Constitutional Design Term 2 Chapter 4: Electoral Politics Chapter 5: Working of Institutions Chapter 6: Democratic Rights SOCIAL STUDIES CLASSIX

5 TERM I ( HISTORY ) TERM II ( HISTORY ) 1. The French Revolution 1. Forest Society and Colonialism Activities: Activities: Drama/ Role play Find out about 5 tribes of the world and 5 Indian tribes and make a PPT presentation Playing the role of a reporter How would our planet look if forests disappear? Paint to emphasise. Newsletter Draw a cartoon strip on the given topic: Painting Imagine you are Mowgli you overhear a conversation between two British Officials to cut the trees. What would you do to save the forest you so dearly love. Find out about the Chipko Movement. Find out about the tribe in Rajasthan which plays a vital role in conservation of the environment. 2. The Rise Of Nazism 2. Cricket Activities: Activities: Hitlers background Does IPL unite or divide the country Positive side of Hitler Find out about the prevalence of caste discrimination in Cricket Berlin Olympics Does gender discrimination exist in this game? Collect examples to emphasise this point.

6 GEOGRAPHY CLASS 9 TH MONTH WISE / TERM WISE SYLLABUS 1 st TERM : APRIL SEPTEMBER APRIL + MAY: Chapter 1: India : Size and Location JUNE + JULY : Chapter 2: Physical Features of India JULY: Chapter 3: Drainage of India AUGUST : Chapter 4: India: Climate SEPTEMBER: Revision work and Half yearly Exams 2 nd TERM : OCTOBER MARCH OCTOBER : Chapter 4 : India: Climate ( continued ) NOVEMBER : Chapter 4 : India : Climate + Chapter 5 : Natural Vegetation DECEMBER: Chapter 5 : Natural Vegetation + Chapter 6 : Polulation JANUARY: Chapter 6 : Population (continued) FEBRUARY: Revision work and Final Examination MARCH: Final examination ( continued) Art Class 9,A,B,C,D,. 1. Introduced colours with practice with marbling. Primary colours Secondary colours Tertiary colours Analogous colour scheme Complementary colour scheme Hot and cold colours. 1.marbling with analysis of each colour and its personality

7 2. Study of Negative space 3. Animal kingdom in abstract style 4. Human figures, painting along with collage. 5. Caricature of public figures 6. Folk art of Africa. 7. Land scape in pen and ink Science Term 1 Chemistry March-May Matter In Our Surroundings July-August Is Matter Around Us Pure Physics April-May Motion July Force and laws of Motion August Gravitation Biology April, May, July

8 Improvement in food resources The fundamental unit of life August Tissues Term 2 Chemistry October-November Atoms and molecules December -January Structure of atom Physics October - November Flotation Work and energy December- January Sound Biology October - November Diversity in living organisms December- January

9 Why do we fall ill Natural resources Hindi f{kfrt& x &[k.m Okkf"kZdikB~;Øe fgunh&d{kk izfke l= & 1&nks csyksa dh dfkk&eqa khizsepan 2&Ygklk dh vksj&jkgqy lkald`r;k;u 3&miHkksDrkokn dh lald`fr& ;kek pj.k nqcs 4&lkaoys liuksa dh ;kn&tkfcj gqlsu f{kfrt&dko;&[k.m 5&lkf[k;k,oa lcn&dchjnkl 6&ok[k &yy n 7&loS;s&jl[kku 8&dSnhvkSj dksfdyk&ek[ku yky prqosznh 9&xzkeJh&lqfe=k uanu iar d`frdkhkkx 1&iwjdiqLrd&

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12 O;kdj.k& vifbrxn~;ka k ] vifbr in~;ka k kcnfuekz.k&milxz ]izr;; ] lekl vyadkj& kcnkyadkj ] vfkkzyadkj English English Syllabus ( ) Class IX MARCH Literature: How I Taught My Grandmother to Read [prose] AWS : Creative Writing [Every month] APRIL Literature: The Brook [poem] A Dog Named Duke [prose] Grammar: Determiners, Conjunctions AWS : Diary Entry, Notice, MCB : People NOVEL : CHAPTER 1 MAY Literature: The Road not taken [poem] Grammar: Tenses AWS : E mail, Story Writing MCB : Adventure NOVEL : CHAPTER 2 JULY Literature: The Solitary Reaper [poem] The Man Who Knew Too Much [prose]

13 Grammar: Subject Verb Concord [Agreement] AWS : Formal and Informal Letters MCB : Environment NOVEL : CHAPTERS- 3, 4, 5 AUGUST Literature: Lord Ullin s Daughter [poem] Villa for Sale [drama] Grammar: Active and Passive Voice AWS : Bio Sketch, Article Writing [School Magazine and Newspaper] MCB : Radio and Video Show NOVEL : CHAPTERS-6, 7, 8 SEPTEMBER REVISION [HALF YEARLY EXAMS] OCTOBER Literature: The Man Who Knew Too Much [prose] The Seven Ages [poem] Grammar: Prepositions, Direct and Indirect Speech AWS : Report Writing [School Magazine and Newspaper] MCB : Mystery NOVEL : CHAPTERS 12, 13, 14 NOVEMBER Literature: Oh, I Wish I d Looked After Me Teeth [poem] Keeping it from Harold [prose] Grammar: Modals AWS : Dialogue Writing, Debate Writing MCB : Children NOVEL : CHAPTERS 15, 16, 17 DECEMBER Literature: Song of the Rain [poem] Best Seller [prose] Grammar: Adjectives [Degree of Comparison] AWS : Speech Writing MCB : Sports and Games NOVEL : CHAPTERS 18, 19

14 JANUARY READING COMPREHENSION 1. Factual Passage 2. Literary Passage 3. Discursive Passage INTEGRATED GRAMMAR 1. Gap Filling 2. Editing Task 3. Omission exercises 4. Sentence Reordering 5. Sentence Transformation FEBRUARY REVISION [FINAL EXAMS] ********************************************************** Computers Month Topic Chapter no April Computer system 2 May Input output devices 3 July Communication Technology 5 August September Microsoft Word 2007-I Microsoft Word 2007-II Microsoft Word 2007-III October Basics of Computer system 4 November Operating system 6 December Microsoft PowerPoint 2007-I Microsoft PowerPoint 2007-II January February Microsoft Excel 2007-I Microsoft Excel 2007-II 12 13

15 Economics Syllabus Term I Chapter 1- The Story of Village Palampur Chapter 2- People as a Resource Term II Chapter 3- Poverty as a Challenge Chapter 4- Food Security in India

CBSE Class IX Syllabus. Mathematics Class 9 Syllabus

CBSE Class IX Syllabus. Mathematics Class 9 Syllabus Mathematics Class 9 Syllabus Course Structure First Term Units Unit Marks I Number System 17 II Algebra 25 III Geometry 37 IV Co-ordinate Geometry 6 V Mensuration 5 Total 90 Second Term Units Unit Marks