Method of Internal Assessment in Mathematics for CBSE Classes IX and X
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Internal Assessment For Classes IX and X
Term  1 Session 202122
Calculation of Internal Assessment For Session 202021
CBSE Board divided the Whole Syllabus into two parts, Part A and Part B.
Part A is based on the Academic syllabus and part B based on the continuous comprehensive evaluation (Internal Assessment) throughout the year.
First of all we discuss about Academic Part A. This part is different for both the classes (IX and X)
Part A For class 9th [mm = 80]
Whole of the syllabus is divided into fifteen chapters and all chapters are divided into six units. This syllabus is completed in 178 working days. Total marks in this part is 80.
Unitwise distribution of chapters and unitwise marks are given below.
Course Structure Mathematics Class – IX , CBSE Board
Mathematics
Units

Unit
Name with chapters and number of periods

Number of Periods

Marks

I

Number Systems
Chapter
1 : Real Numbers [16]

16

08

II

Algebra
Chapters
2 : Polynomials [23]
Chapter 4 :
Linear equations in two
variables. [14]

37

17

III

Coordinate Geometry
Chapter
3 : Coordinate Geometry [6]

6

04

IV

Geometry
Chapter
5 :
Introduction to Euclid’s Geometry [6]
Chapter
6 : Lines and Angles [13]
Chapter
7 : Triangles [16]
Chapter
8 : Quadrilaterals
[10]
Chapter
9 : Area related Quadrilaterals [10]
Chapter
10 : Circles [15]
Chapter
11 : Constructions [7]

77

28

V

Mensuration
Chapter
12 : Heron’s Formula [8]
Chapter
13 : Surface area and volumes [16]

24

13

VI

Statistics & Probability
Chapter
14 : Statistics [13]
Chapter
15 : Probability [5]

18

10


Total

178

80

Part A For class X [mm = 80]
Whole of the syllabus is divided into fifteen chapters and all chapters are divided into seven units. This syllabus is completed in 190 working days. Total marks in this part is 80.
Unitwise distribution of chapters and unitwise marks are given below.
Course Structure Mathematics Class – X , CBSE
Board Mathematics
Units

Unit Name with chapters and number
of periods

Number
of Periods

Marks

I

Number Systems
Chapter 1 : Real Numbers
[15]

15

06

II

Algebra
Chapters 2 : Polynomials
[07]
Chapter 3 :
Pair of linear equations in two
variables [15]
Chapter 4 : Quadratic Equations [15]
Chapter 5 : Arithmetic Progression [08]

45

20

III

Coordinate Geometry
Chapter 7 : Coordinate Geometry [14]
Lines in two dimensions

14

06

IV

Geometry
Chapter 6 : Triangles [15]
Chapter 10 : Circles [08]
Chapter 11 : Constructions [08]

31

15

V

Trigonometry
Chapter
8 : Introduction to Trigonometry [10]
Chapter
8 : Trigonometric Identities [15]
Chapter
9 : Heights and Distances
[08]

33

12

VI

Mensuration
Chapter 12 : Area Related to
Circles [12]
Chapter 13 : Surface area and
volumes [12]

24

10

VII

Statistics &
Probability
Chapter 14 : Statistics
[18]
Chapter 15 : Probability
[10]

28

11


Total

190

80

Part B (Internal Assessment) [mm = 20]
Method of calculating internal assessment for both the classes (IX, X) is same. This part is divided into three part Unit test Record, Portfolio and Subject Enrichment. Explanation of complete process is given below.
S. No.

Internal
Assessment

Marks

1

Unit test record
[Pen Paper Test and Multiple Assessment]

10

2

Portfolio

05

3

Lab Practical

05


Total Marks

20

1.) Unit 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.
Class ........

Record
of Unit Test

Subject : Mathematics

I

II

III

Best
of two unit test

Total

Out
of 10

Roll
No.

Students
Name

[20]

[20]

[20]

[20]

[20]

[40]

Total/4

1









2









3









2. Record of Portfolio:
Teacher should prepare portfolio of the student's work throughout the year. This may include Note books of class work and home work , Regular Home Assignment, worksheets, Holiday Home Assignments, PPT, Charts, Performance in oral tests/quiz etc. Teacher may select 3, 4 best practices and make the evaluation record. Maximum marks for portfolio is 5.
Sample assessment technique of Portfolio sheet is shown below.
Class ........

Portfolio

Subject : Mathematics

Note
Books

Home
Assignment

Oral/Quiz

Total

Out
of 5

Roll
No.

Students Name

[10]

[10]

[10]

[30]

Total/6

1







2







3







3. Subject Enrichment :
This topic based on the depth of knowledge gained by the students throughout the year. This may include Maths Activities on the prescribed note books, models etc. Maximum marks for it is 5.
Sample assessment technique of Subject Enrichment sheet is shown below.
Class ......

SUBJECT ENRICHMENT [PRACTICAL
NOTEBOOKS AND ACTIVITIES

Subject : Mathematics

Regularities

Neat
& Clean

Completeness

Correctness

Total

Out
of 5

Roll
No.

Students Name

[2]

[2]

[3]

[3]

[10]

Total/2

1








2








3








Final Internal Assessment
Final assessment is made by compiling all the above three reports i.e. Unit test record, Portfolio and subject enrichment.
Sample of final assessment sheet is shown below.
Class .......

Internal
Assessment Mathematics

Subject : Mathematics

Unit
Test

Portfolio

Subject
Enrichment

Total

Roll
No.

Students
Name

[10]

[5]

[5]

[20]

1






2






3






Compilation of Final Result
Part A = 80 Marks, Part B = 20 Marks ⇒ Total Marks = 100
For all the students, teacher should combine the marks obtained by the students in Part A and in Part B. If students got ≥ 33% marks after combining part A and Part B then students qualified for the next class.
Sample of final result sheet is shown below
Class ………

Final Result

Subject : Mathematics

Marks in Part A (Academic)

Marks in Part B
( Internal Assessment)

Total

Roll
No.

Students
Name

[80]

[20]

[100]

1





2





3





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