### Common Errors in Secondary Mathematics

Common Errors Committed  by the  Students  in Secondary Mathematics   Errors  that students often make in doing secondary mathematics  during their practice and during the examinations  and their remedial measures are well explained here stp by step.  Some Common Errors in Mathematics

### 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.

***************************************************************************
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.

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 (2023-24) 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 (2023-24) 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 (2023-24) 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

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 FunctionsChapter : 1  Sets                                                       [20]Chapter : 2  Relations and Functions                     [20]Chapter : 3  Trigonometric Functions                    [20] 60 23 II AlgebraChapter : 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 GeometryChapter : 10  Straight Lines                                      [15]Chapter : 11 Conic Sections                                      [25]Chapter : 12 Introduction to three dimensional geometry           [10] 50 12 IV CalculusChapter : 13  Limits and Derivatives                       [40] 40 8 V Mathematical Reasoning: DeletedChapter : 14 Mathematical Reasoning NADeleted VI Statistics and ProbabilityChapter : 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 FunctionsChapter :1 Relations and Functions     [15]Chapter : 2 Inverse Trigonometric Functions          [15] 30 08 II AlgebraChapter : 3 Matrices                              [25]Chapter : 4 Determinants                      [25] 50 10 III CalculusChapter : 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 GeometryChapter : 10 Vectors                                   [15]Chapter : 11 Three Dimensional Geometry                   [15] 30 14 V Linear ProgrammingChapter : 12  Linear Programming         [20] 20 05 VI ProbabilityChapter : 13 Probability                           [30] 30 8 Total 240 80