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CBSE Chic 11 Maths Abridgement 2019-20 PDF is accessible actuality for download. Download articulation is accustomed at the end of this article. New CBSE Abridgement for Chic 11 Maths accountable has complete capacity about the advance anatomy of approach cardboard and centralized assessment. Major changes accept been empiric in the assay arrangement of CBSE Chic 11 Maths, acceptance are brash to thoroughly abstraction this abridgement and apprentice complete details.



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Important allocation of CBSE Chic 11 Maths Abridgement 2019-20 is accustomed below

Units



No. of Periods

Marks



I. Sets and Functions

60

23

II. Algebra

70

30

III. Alike Geometry

40

10

IV. Calculus

30

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05

V. Algebraic Reasoning

10

02

VI. Statistics and Probability

30

10

Total

240

80

Internal Assessment

 

20

No chapter/unit-wise weightage. Care to be taken to awning all the chapters.

Unit-I: Sets and Functions

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1. Sets (20 Periods)

Sets and their representations. Empty set. Apprenticed and Absolute sets. According sets. Subsets.Subsets of a set of absolute numbers abnormally intervals (with notations). Power set. Universal set. Venn diagrams.  Union and Amphitheater of sets. Aberration of sets. Complement of a set.  Properties of Complement.

2. Relations & Functions (20 Periods)

Ordered pairs. Cartesian artefact of sets. Cardinal of elements in the Cartesian artefact of two apprenticed sets.

Cartesian artefact of the set of reals with itself (upto R x R x R). Definition of relation, aesthetic diagrams, domain, co-domain and ambit of a relation.

Function as a appropriate blazon of relation. Aesthetic representation of a function, domain, co-domain and ambit of a function.

Real admired functions, area and ambit of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest accumulation functions, with their graphs. Sum, difference, artefact and quotients of functions.

NCERT Exemplar: CBSE Chic 11 Mathematics – All Chapters

3. Algebraic Functions (20 Periods)

Positive and abrogating angles. Measuring angles in radians and in degrees and about-face from one admeasurement to another. Definition of algebraic functions with the advice of assemblage circle. Truth of the character sin2x cos2x = 1, for all x. Signs of algebraic functions. Area and ambit of algebraic functions and their graphs. Expressing sin (x ± y) and cos (x ± y) in agreement of sin x, sin y, cos x & cos y and their simple applications. Deducing identities like the following:

Identities accompanying to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. Accepted band-aid of algebraic equations of the blazon sin y = sin a, cos y = cos a and tan y = tan a.

Unit-II: Algebra

1. Assumption of Algebraic Consecration (10 Periods)

Process of the affidavit by induction, affective the appliance of the adjustment by attractive at accustomed numbers as the atomic anterior subset of absolute numbers. The assumption of algebraic consecration and simple applications.

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2. Circuitous Numbers and Boxlike Equations (15 Periods)

Need for circuitous numbers, abnormally √−1, to be motivated by disability to break some of the quardratic equations. Algebraic backdrop of circuitous numbers. Argand even and arctic representation of circuitous numbers. Account of Fundamental Assumption of Algebra, band-aid of boxlike equations (with absolute coefficients) in the circuitous cardinal system. Square basis of a circuitous number.

3. Beeline Inequalities (15 Periods)

Linear inequalities. Algebraic solutions of beeline inequalities in one capricious and their representation on the cardinal line. Graphical band-aid of beeline inequalities in two variables. Graphical adjustment of award a band-aid of arrangement of beeline inequalities in two variables.

4. Permutations and Combinations (10 Periods)

Fundamental assumption of counting. Factorial n. (n!) Permutations and combinations, ancestry of Formulae forn nPr  and nCr and their connections, simple applications.

5. Binomial Assumption (10 Periods)

History, account and affidavit of the binomial assumption for absolute basic indices. Pascal’s triangle, Accepted and boilerplate appellation in binomial expansion, simple applications.

6. Sequence and Series (10 Periods)

Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Beggarly (A.M.) Geometric Progression (G.P.), accepted appellation of a G.P., sum of n agreement of a G.P., absolute G.P. and its sum, geometric beggarly (G.M.), affiliation amid A.M. and G.M. Formulae for the afterward appropriate sums.

Unit-III: Alike Geometry

1. Beeline Ambit (10 Periods)

Brief anamnesis of two dimensional geometry from beforehand classes. Shifting of origin. Slope of a band and bend amid two lines. Various forms of equations of a line: alongside to axis, point –slope form, slope-intercept form, two-point form, ambush anatomy and accustomed form. Accepted blueprint of a line. Blueprint of ancestors of ambit casual through the point of amphitheater of two lines.Distance of a point from a line.

2. Cone-shaped Sections (20 Periods)

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Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a beeline band and a brace of intersecting ambit as a breakable case of a cone-shaped section. Accepted equations and simple backdrop of parabola, ambit and hyperbola. Accepted blueprint of a circle.

3. Introduction to Three-dimensional Geometry (10 Periods)

Coordinate axes and alike planes in three dimensions. Coordinates of a point. Ambit amid two credibility and area formula.

Unit-IV: Calculus

1. Limits and Derivatives (30 Periods)

Derivative alien as amount of change both as that of ambit action and

geometrically.Intuitive abstraction of limit.Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.Definition of acquired chronicle it to ambit of departure of the curve, acquired of sum, difference, artefact and caliber of functions. Derivatives of polynomial and algebraic functions.

Unit-V: Algebraic Reasoning

1. Algebraic Reasoning (10 Periods)

Mathematically adequate statements. Abutting words/ phrases – accumulation the compassionate of “if and alone if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through array of examples accompanying to absolute action and Mathematics. Validating the statements involving the abutting words, aberration amid contradiction, antipodal and contrapositive.

Unit-VI: Statistics and Probability

1. Statistics (15 Periods)

Measures of Dispersion: Range, Beggarly deviation, about-face and accepted aberration of ungrouped/grouped data. Assay of abundance distributions with according agency but altered variances.

2. Anticipation (15 Periods)

Random experiments; outcomes, sample spaces (set representation). Events; accident of events, ‘not’, ‘and’ and ‘or’ events, all-embracing events, mutually absolute events, Axiomatic (set theoretic) probability, access with added theories of beforehand classes. Anticipation of an event, anticipation of ‘not’, ‘and’ and ‘or’ events.

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Internal Assessment

20 Marks

Periodic Tests ( Best 2 out of 3 tests conducted)

10

Mathematics Activities

10

Note: For activities NCERT Lab Manual may be referred

Conduct of Alternate Tests:

Periodic Assay is a Pen and Cardboard appraisal which is to be conducted by the accountable teacher. The

format of alternate assay charge accept questions items with a antithesis mix, such as, actual abbreviate answer

(VSA), abbreviate acknowledgment (SA) and continued acknowledgment (LA) to finer appraise the knowledge, understanding, application, skills, analysis, appraisal and synthesis. The accountable abecedary will accept the alternative of accumulation any added types of questions too. The modalities of the PT are as follows:

(a) Mode: The alternate assay is to be taken in the anatomy of pen-papertest.

(b) Schedule: In the absolute Academic Year, three Alternate Tests in anniversary accountable may be conducted as follows:

Test

Pre Mid-term (PT-I)

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Mid-Term (PT-II)

Post Mid-Term (PT-III)

Tentative Month

July-August

November

December-January

  This is alone a evocative agenda and schools may conduct alternate tests as per their convenience. The winter apprenticed schools would advance their own agenda with agnate time gaps amid two after tests.

(c) Boilerplate of Marks: Once schools complete the conduct of all the three alternate tests, they will catechumen the weightage of anniversary of the three tests into ten marks anniversary for anecdotic best two tests. The best two will be taken into application and the boilerplate of the two shall be taken as the final marks for PT.

(d) The academy will ensure simple affidavit to accumulate a almanac of performance

(e) Administration of Feedback/Performance: The students’ accomplishment in anniversary assay charge be aggregate with the acceptance and their parents to accord them an overview of the akin of acquirements that has taken abode during altered periods. Acknowledgment will advice parents codify interventions (conducive ambience, abutment materials, action and assurance boosting) to added enhance learning. A teacher, while administration the acknowledgment with apprentice or parent, should be empathetic, non- judgmental and motivating. It is recommended that the abecedary allotment best examples/performances with the chic to actuate all learners.

Assessment of Action Work:

Throughout the year any 10 activities shall be performed by the apprentice from the activities accustomed in the NCERT Laboratory Manual for the corresponding chic ( XI or XII) which is accessible on the articulation : http://www.ncert.nic.in/exemplar/labmanuals.html A almanac of the aforementioned may be kept by the student. An year end assay on the action may be conducted at the Academy Level.

The weightage are as under:• The activities performed by the apprentice through out the year and almanac befitting : 5 marks• Appraisal of the action performed during the year end test: 3 marks• Viva-voce : 2 marks

More capacity are accessible in the PDF of the syllabus

Download CBSE Chic 11 Maths Abridgement 2019-20 in PDF format

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