Internal Assessment (Mathematics) for class 11 and lates syllabus of class 11 maths 2020-21

-

UNIT WISE DISTRIBUTION OF CHAPTERS AND METHOD OF INTERNAL  ASSESSMENT IN MATHEMATICS CLASS11

scheme of evaluation in classes 11 and 12 , method of compiling final result and internal assessment for class 11 and 12.

                                                                                                                                        
                                                                                                        *************************************************************

CBSE Board divided the whole syllabus into two parts , PART A (Theory part) and PART B  ( Internal assessment).

First of all we discuss about Theory Part A . This part is based upon the academic curriculum decided by the CBSE.

                                                           PART A

                                                                     Theory Examination (mm=80)

Whole of the syllabus is divided into sixteen chapters and all chapters are divided into six units. This syllabus is completed in 240 periods (each of 35 min). Total marks in this part is 80.

                                                                   For class 11

     CBSE Class 11 Maths Syllabus 2020-21
CBSE Class 11 Maths Syllabus 2020-21

Check CBSE Class 11 Maths Syllabus 2020-21 and download it in PDF format. The link to download CBSE Syllabus for Class 11 Maths 2020-21 is given at the end of this article. This latest CBSE Maths Syllabus for Class 11 contains complete details about units and chapters to be studied in the academic session 2020-21.

CBSE Class 11 Maths Syllabus: 2020-21

No.

Units

No. of Periods

Marks

I.

Sets and Functions

60

23

II.

Algebra

70

30

III.

Coordinate Geometry

40

10

IV.

Calculus

30

05

V.

Mathematical Reasoning

10

02

VI.

Statistics and Probability

30

10

 

Total

240

80

 

Internal Assessment

 

20


                      PART B INTERNAL ASSESSMENT          (MM -20)

internal assessment of 20 marks , based on school board examinations will have following break -up:

Year -end assessment of activities


12 Marks

Assessment of project work /PPT


5   Marks

Viva-voice


3   Marks

Total


20





Year End Assessment of Activity Work
a) Each students will be asked to perform two given activities during the alotted time.
b) The assessment may be carried out by a team of two Mathematics Teachers, including the teacher who is taking practical classess. 
c) The break -up of 12 marks of assessment for a single activity may be as under ;

Statement of objectives of the activity


1 Marks

Material Required


1  Marks

Preparation for the activity


3   Marks

conduct of the Activity



3 marks


observation & analysis

3 marks 

  Result and    Conclusion                 1 marks


d) The marks for activities may be added first and the marks calculated out of 12.
e) Full record of activities may be kept by each students.

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

NCERT Exemplar: CBSE Class 11 Mathematics – All Chapters

NCERT Solutions for CBSE Class 11 Mathematics: All Chapters

Unit-I: Sets and Functions

1. Sets  

Sets and  their representations.Empty set.Finite and  Infinite sets.Equal sets.Subsets.Subsets of a set  of real numbers especially intervals (with   notations). Power set. Universal set. Venn diagrams. Union and  Intersection of sets.Difference of sets. Complement of a set. Properties of Complement.

2. Relations & Functions

Ordered pairs.Cartesian product  of sets.Number of elements in the Cartesian product  of two finite sets.Cartesian product of the set of reals with itself (upto R x R x R).Definition of relation, pictorial diagrams, domain, co-domain and  range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and  range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product  and quotients of functions.

3. Trigonometric Functions

Positive  and negative  angles. Measuring  angles in radians  and in degrees and conversion  from one measure to another.Definition of trigonometric functions with the  help of unit circle. Truth of the identity sin 2x + cos 2x = 1, for all x. Signs of trigonometric functions. Domain and  range of trigonometric functions and their graphs.Expressing sin (x±y) and cos (x±y) in terms of sinx, siny,

cosx & cosy and their simple applications. Deducing identities like the following:

Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and  tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tany = tan a.

Unit-II: Algebra

1.Principle of Mathematical Induction               

Process of the  proof by induction, motivating the  application of the method by looking at natural numbers as the  least inductive subset of real numbers.The principle of mathematical  induction and simple applications.

2. Complex Numbers and Quadratic Equations

Need  for complex numbers, especially √−1, to  be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers.Argand plane and polar representation of complex numbers.Statement of Fundamental Theorem of Algebra, solution of quadratic  equations (with real coefficients) in the complex number system.Square root of a complex number.

3. Linear inequalities.

Algebraic  solutions of  linear inequalities   in one variable and    their representation on the number  line.Graphical solution of linear inequalities  in two variables.Graphical method of finding a solution of a system of linear inequalities in two variables.

4. Permutations and Combinations 

Fundamental principle of counting. Factorial n.  (n!) Permutations and combinations, derivation of Formulae form nPr  and nCr and their connections, simple applications.

5. Binomial Theorem

Historical perspective, statement and proof of the binomial theorem for positive integral indices.Pascal's triangle, General and middle term in binomial expansion, simple applications.

6. Sequence and Series 

Sequence  and Series.  Arithmetic Progression  (A. P.). Arithmetic Mean   (A.M.) Geometric Progression (G.P.),  general term of a G.P., sum of n terms of a G.P.,  infinite G.P. and its sum, geometric  mean (G.M.), relation between A.M. and  G.M. Formulae for the following special sums.

Unit-III: Coordinate Geometry

1. Straight Lines

Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line

and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope

form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line.Equation of family of lines passing through the point of intersection of two lines.Distance of a point from a line.

2. Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of

intersecting lines as a degenerated case of a conic section. Standard equations and simple

properties of parabola, ellipse and hyperbola.Standard equation of a circle.

3. Introduction to Three-dimensional Geometry

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance

between two points and section formula.

Unit-IV: Calculus

1. Limits and Derivatives

Derivative introduced as rate of change both as that of distance function and

geometrically.Intuitive idea of limit.Limits of polynomials and rational functions trigonometric,

exponential and logarithmic functions.Definition of derivative relate it to scope of tangent of the

curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial

and trigonometric functions.

Unit-V: Mathematical Reasoning

1. Mathematical Reasoning

Mathematically acceptable statements. Connecting words/ phrases - consolidating the

understanding of "if and only if (necessary and sufficient) condition", "implies", "and/or", "implied

by", "and", "or", "there exists" and their use through variety of examples related to real life and

Mathematics. Validating the statements involving the connecting words, difference among

contradiction, converse and contrapositive.

Unit-VI: Statistics and Probability

1. Statistics

Measures of Dispersion: Range, Mean deviation, variance and standard deviation of

ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

2. Probability

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

Mathematics Question Paper Design Class – XI (2020-21)

Time : 3 Hours,  Max. Marks: 80

S. No.

Typology of Questions

Total Marks

% Weight age

 

 

 

1

 

Remembering: Exhibit memory  of previously learned material by recalling facts, terms, basic concepts, and  answers.

 

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas

 

 

 

 

44

 

 

 

55

 

2

 

Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.

 

20

 

25

 

 

 

 

 

 

 

 

3

Analysing :

Examine  and break  information into  parts by identifying  motives or causes. Make inferences and find evidence to support generalizations

 

Evaluating:

Present and  defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

 

Creating:

Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions

 

 

 

 

 

 

 

 

16

 

 

 

 

 

 

 

 

20

 

Total

80

100

No chapter wise weightage. Care to be taken to cover all the chapters

Suitable internal variations may be made for generating various templates keeping the overall weightage to different forms of questions and typology of questions the same.

Choice(s):

- There will be no overall choice in the question paper.

- However, 33% internal choices will be given in all the sections

However, 33% internal choices will be given in all the sections

Internal Assessment: 20 Marks

Periodic Tests ( Best 2 out of 3 tests conducted) - 10 Marks

Mathematics Activities - 10 Marks

Download CBSE Class 11 Maths Syllabus 2020-21 in PDF format

NEXT STORY

DU JAT 2020 BBA/BBE/BMS Syllabus | Find out list of Important Topics to Prepare

By NIDHI GUPTA

MAY 5, 2020 18:17 IST
DU JAT BBA Syllabus
DU JAT BBA Syllabus

University of Delhi has a distinct Delhi University Joint Admission Test (DU JAT) entrance exam for admission to three major undergraduate-level management courses named Business Administration (BBA), Bachelor of Management Studies (BMS) and B.A. (Honours) in Economics/BBE. It is an online/computer-based test conducted by Nation Testing Agency (NTA) on behalf of DU for the aspirants willing to seek admission in any of the above mentioned courses.    

In this article, you will find out DUJAT exam syllabus, and important highlights of the DU JAT exam patter to understand the entrance exam structure. Carefully read detailed list of the topics expected in the exam this year:-

DU JAT 2020 Exam Pattern

  • DU JAT is an online/computer-based exam conducted in morning and afternoon session on the same day.
  • DU JAT is conducted for the duration of 120 minutes (2 hours), and carries 100 MCQ based questions with 4 options each.
  • There are 4 sections in the exam namely – Quantitative Aptitude, Verbal ability, Reasoning, and General Awareness.
  • Each question carries 4 marks and for choosing wrong option, there is a penalty of -1 mark per question.

DU JAT 2020 Syllabus – List of Important Topics

DU JAT entrance exam tests the aptitude of the candidates on their technical and managerial skills. Therefore, the questions are generally asked to test the calculation speed, time management skills, managerial skills to ensure that the candidate is apt for getting admission in the premier courses at DU. Find out the list of important topics expected from each section in the exam.  

DU JAT Quantitative Ability Syllabus

  • Numbers
  • Averages & Percentages,
  • Roots, Indices, Surds,
  • Simple & Compound Interest,
  • Profit & Loss,
  • Algebraic Formulae,
  • Linear & Quadratic Equations,
  • Ratio & Proportion,
  • Partnership,
  • Mixtures & Alligations,
  • Time, Speed & Distance,
  • Work Related Problems,
  • Pipes & Cisterns,
  • Geometry: Lines, Angles & Triangles, Polygons,
  • Circles & Mensuration,
  • Permutations & Combinations,
  • Probability,
  • Determinants,
  • Vectors,
  • Integration and Differentiation.

DU JAT Business & General Awareness Syllabus

  • Taglines,
  • Company/Business entities,
  • Days and Dates,
  • Government and Politics,
  • International Bodies/News,
  • Literature and Media,
  • Personalities,
  • Science & Technology,
  • Sports and Movies,
  • Arts & Music,
  • Indian History and World History,
  • Business and Economy,
  • Awards and Honors,
  • Brands,
  • Logos,
  • Trade/Business terminologies,
  • Personalities,
  • Books & authors

DU JAT General English Syllabus

  • Antonyms-Synonyms,
  • Foreign Words Noun & Pronoun Errors,
  • Subject-Verb Agreement,
  • Reading Comprehension,
  • Inference based passages Syllogisms,
  • Logical Consistency,
  • Deductive Reasoning
  • Idioms & Phrases,
  • Analogies,
  • Prepositions and Conjunctions,
  • Tenses, Modifiers & Parallelism

DU JAT Reasoning and Analytical Ability Syllabus

  • Groups & Conditionality,
  • Logical Series,
  • Selection Criteria,
  • Sequential O/P Tracing,
  • Analogies, Odd one out,
  • Logical Puzzles,
  • Calendar
  • Coding & Decoding,
  • Symbol Based Logic,
  • Family Tree & Directions,
  • Arrangements: Linear, Circular, Matrix Arrangements

For more information on DU JAT entrance exam and other BBA entrance exams, colleges and courses, keep visiting jagranjosh.com!

Location: Delhi, India

Popular posts from this blog

Compound Interest class 8 chapter6(notes) maths definition, formula

-
Image
Compound Interest Definition Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from the simple interest where interest is not added to the principal while calculating the interest during the next period. Compound interest finds its usage in most of the transactions in the banking and finance sectors and also in other areas as well. Some of its applications are: Increase or decrease in population. The growth of bacteria. Rise or depreciation in the value of an item. Compound Interest Formula The compound interest formula is given below: Compound Interest = Amount – Principal Where the  amount  is given by: Where, A= amount P= principal R= rate of interest n= number of times interest is compounded per year It is to be noted that the above formula is the general formula for the number of times the principal is compounded in an year. If the amount is compounded annually, the amount is given as-              
Read more

Revision notes for class 10 & 9 CIRCLES

-
Image
Revision Notes on Circle The equation of a   circle   with its center at C(x 0 , y 0 ) and radius r is: (x – x 0 ) 2  + (y – y 0 ) 2  = r 2     If x 0  = y 0  = 0 (i.e. the centre of the circle is at origin) then  equation of the circle   reduce to x 2  + y 2  = r 2 . If r = 0 then the circle represents a point or a point circle. The equation x 2  + y 2  + 2gx + 2fy + c = 0 is the general equation of a circle with centre (–g, –f) and radius √(g 2 +f 2 -c). Equation of the circle with points P(x 1 , y 1 ) and Q(x 2 , y 2 ) as extremities of a diameter is (x – x 1 ) (x – x 2 ) + (y – y 1 )(y – y 2 ) = 0.  For general circle, the equation of the chord is x 1 x + y 1 y + g(x 1  + x) + f(y 1  +y) + c = 0 For circle x 2  + y 2  = a 2 , the equation of the chord is x 1 x + y 1 y = a 2   The equation of the  chord  AB (A ≡ (R cos α, R sin α); B ≡ (R cos β, R sin β)) of the circle x 2  + y 2  = R 2  is given by x cos ((α + β )/2) + y sin ((α - β )/2) = a cos (
Read more