Dictionary Rank of a Word | Permutations & Combinations

 PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

Internal Assessment For Class IX , X Mathematics

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 2021-22


Calculation of Internal Assessment For Session 2020-21
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.

Unit-wise distribution of  chapters and unit-wise 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.

Unit-wise distribution of  chapters and unit-wise 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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