Unit wise distribution of chapters and method of Internal Assessment
in Mathematics for CBSE Class XI and XII.
Scheme of evaluation in classes 11 and 12, method of compiling final result and internal assessment for class 11 and 12.
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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 XI
Unitwise distribution of chapters and unitwise marks are given below.
Course Structure Mathematics Class – XI , CBSE
Board Mathematics
Units

Unit Name with chapters and number
of periods

Number
of Periods

Marks

I

Sets and Functions
Chapter : 1 Sets
[15]
Chapter : 2 Relations and Functions [15]
Chapter : 3 Trigonometric Functions [30]

60

23

II

Algebra
Chapter : 4 Principal of
Mathematical Induction [8]
Chapter : 5 Complex Numbers [12]
Chapter : 6 Linear Inequality [15]
Chapter : 7 Permutations and Combinations [10]
Chapter : 8 Binomial Theorem [8]
Chapter : 9 Sequence and Series [17]

70

30

III

Coordinate Geometry
Chapter : 10 Straight Lines [15]
Chapter : 11 Conic Sections [15]
Chapter : 12
Introduction to three
dimensional geometry [10]

40

10

IV

Calculus
Chapter : 13 Limits and Derivatives [30]

30

5

V

Mathematical Reasoning
Chapter : 14 Mathematical
Reasoning [10]

10

2

VI

Statistics and Probability
Chapter : 15 Statistics [15]
Chapter : 16 Probability [15]

30

10



240

80

For class XII
Course Structure Mathematics Class – XII , CBSE
Board Mathematics
Units

Unit Name with chapters and number
of periods

Number
of Periods

Marks

I

Relations and Functions
Chapter
:1 Relations and Functions [15]
Chapter
: 2
Inverse Trigonometric Functions [10]

25

08

II

Algebra
Chapter
: 3 Matrices [25]
Chapter
: 4 Determinants [25]

50

10

III

Calculus
Chapter
: 5
Continuity and Differentiability [20]
Chapter
: 6 Applications of Derivatives [25]
Chapter
: 7 Integral [20]
Chapter
: 8 Applications of Integrals [10]
Chapter
: 9 Differential Equations [20]

95

35

IV

Vectors and Three Dimensional Geometry
Chapter
: 10 Vectors [15]
Chapter
: 11
Three Dimensional Geometry [15]

30

14

V

Linear Programming
Chapter
: 12 Linear Programming [10]

10

05

VI

Probability
Chapter
: 13 Probability [30]

30

8


Total

240

80

Part B
Internal Examination (MM = 20 Marks)
Internal Assessment of 20 Marks,
based on school based examinations will have following breakup:
Year – end assessment of activities

12 Marks

Assessment of project work /PPT

5 Marks

VivaVoice

3 marks

Total

20

Year End Assessment of Activity Work
(a) Each student will be asked to perform two given activities
during the allotted time.
(b) The assessment may be carried out by a team of two
Mathematics Teachers, including the teacher who is taking practical classes.
(c) The breakup of 12 marks of assessment for a single
activity may be as under :
Statement of objective of the activity

1 mark

Material Required

1 mark

Preparation for the activity

3 marks

Conduct of Activity

3 marks

Observation and analysis

3 marks

Result and conclusion

1 mark

Total

12 marks

d)
The marks for two activities may be added first and then marks calculated out
of 12.
e)
Full record of activities may be kept by each student.
Evaluation of project work [Specially for class 12]
a)
Every student will be asked to do at least one project based on the concepts
learnt in the classroom.
b)
Project may be carried out individually (or in a group of two or three
students).
c)
The weightage of 5 marks for the project may be as under :
Identification and statement of
the project

1 mark

Planning the project

1 mark

Procedure adopted

1 mark

Observations from data collected

1 mark

Interpretation and application of the result

1 mark

Total

5 Marks

During
this year (202021) every student should be asked to perform at least 10
activities in one academic year.
Sample sheet of compiling internal assessment
S. No.

Students Name

Marks obtained in two activities

Project work/PPT

VivaVoice

Total



[12]

[5]

[3]

[20]

1






2






3






Calculation of
the final result
Student should
get at least 33% marks in theory part as well as in internal assessment.
Total score of
the student is calculated out of 100 after adding the marks obtained in theory
examination as well as in internal Assessment.
A sample of Result sheet is shown below
S. No.

Students Name

Marks obtained in Theory Examination

Marks Obtained in Internal
Assessment

Total



[80]

[20]

[100]

1





2





3





Introduction of Applied Mathematics in 11 and 12 standard
Every student in class 11 and 12 (Commerce/Humanities/Medical) can apply for applied mathematics (code 241). Before this, this subject taught to the students as skill subject. Now it is an elective subject. All students who studied basic maths in class 10th can also apply for applied mathematics. Again I want to make it clear that subject mathematics (with code 041) in classes 11 and 12 is only for those students who studied standard mathematics in class 10.
Changes in Mathematics Syllabus (202021)
Class IX  No change
Class X  No change
Class XI  No change
Class XII  A topic "Binomial Probability Distribution has been included in unit 6 (Probability)
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