Internal Assessment (Mathematics) For Classes XI and XII

Internal Assessment (Mathematics) For Classes 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

Unit-wise distribution of  chapters and unit-wise 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                                                       [20] Chapter : 2  Relations and Functions                     [20] Chapter : 3  Trigonometric Functions                    [20]	60	23
II	Algebra Chapter : 4 P. M. I                                               [Deleted] Chapter : 5  Complex Numbers                              [10] Chapter : 6  Linear Inequality                                [10] Chapter : 7  Permutations and Combinations       [10] Chapter : 8  Binomial Theorem                               [10] Chapter : 9  Sequence and Series                            [10]	50	25
III	Coordinate Geometry Chapter : 10  Straight Lines                                      [15] Chapter : 11 Conic Sections                                      [25] Chapter : 12  Introduction to three dimensional geometry           [10]	50	12
IV	Calculus Chapter : 13  Limits and Derivatives                       [40]	40	8
V	Mathematical Reasoning: Deleted Chapter : 14 Mathematical Reasoning		NA Deleted
VI	Statistics and Probability Chapter : 15  Statistics                                              [20] Chapter : 16  Probability                                          [20]	40	12
	Total	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          [15]	30	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    [10] Chapter : 7 Integral                                     [20] Chapter : 8 Applications of Integrals         [15] Chapter : 9 Differential Equations             [15]	80	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         [20]	20	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 break-up:

	For Classes XI and XII
1	Periodic Test: School will conduct three unit test in a year and will calculate the average of any best 2 out of three unit test Test PT-1 PT-2 PT-3 Month July August November December - January	10
2	Mathematics Lab Activity: Any 10 lab activities shall be performed by each student and is recorded in their practical file. The weightage are as under: The activities performed by the student throughout the year and record keeping: 5 Marks Assessment of the activity performed during the year end test: 3 marks Viva-voce: 2 marks	10

Periodic Test	10 Marks
Mathematics Lab Activities	10 Marks
Total	20

1.) Periodic Test Record : 

A school should conduct three unit test throughout the year and at the year end select best two unit test out of three and find the average marks out of 10. Sample of compiling unit test record is shown below.

Internal Assessment (2022-23)		Periodic Test [10 marks] MATHEMATICS(Average)
R. No.	Students Name	PT-1	PT-2	PT-3	Best 2 out of 3		Total	Out of 10
........	Class =	[30]	[30]	[30]	[30]	[30]	[60]	Av [H/6]

PT-1 : Periodic Test 1

PT-2 : Periodic Test 2

PT-3 : Periodic Test 3

2. Lab Activities and Records :

Any 10 lab activities shall be performed by each student throughout the year and is recorded in their practical file. At the end of the year the activities are assessed and the record is maintained. A viva is also conducted and recorded.

Sample of conducting  the assessment of lab activities is shown below

Internal Assessment (2022-23)		Record of Lab Activities					Year End Assessment of activities	Viva- Voce	G. Total
R. No.	Students Name	N/B	Neat & Clean	Complete	Correct.	Total
........	Class =	1	1	1	2	5	3	2	10

N/B : Record of Note Book Checking

Final Calculation of the Internal Assessment

Internal Assessment (2022-23)		Final Internal Assessment
R. No.	Students Name	PT	LA	Total
	Class =	10	10	20

PT : Periodic Test

LA : Lab Activities

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 10 marks for the project may be as under :

Identification and statement of the project	1 mark
Planning the project	1 mark
Procedure adopted	3 mark
Observations from data collected	3 mark
Interpretation and application of the result	2 mark
Total	10 Marks

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

PDF: Internal Ass. (XI & XII)

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