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Lesson Plan Maths Class X (Ch5)  Arithmetic Progression
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DURATION:
PRE REQUISITE KNOWLEDGE:
TEACHING AIDS:
METHODOLOGY:
OBJECTIVES:
 Knowledge of sequence and series.
 Motivation for studying Arithmetic Progression (AP).
 Derivation of nth term of an AP.
 Derivation of the formula to find the nth term from the end of the sequence.
 Derivation of sum to n terms of an AP.
 Application of the formulas of AP to solve the daily life problems.
S.No. 
TOPICS [FOR COMPLETE EXPLANATION OF THE TOPIC] 
1 
Introduction : Start the session by explaining the terms
sequence and series. Sequence If different terms are separated
by commas then it is called sequence Example : 2, 5, 7, 9, 11, 12, ….. Series : If different terms are separated
by “+” or ““ then it is called series. Example : 2 + 5 + 7 + 9 + 11 + 12 + ….. 
2 
Arithmetic Progression: Now
teacher will introduce the concept of Arithmetic Progression(AP), to the
students. Teacher may write few sequences on the board and explain the
difference between the A.P. and the other sequences. 
3 
General or n^{th}
Term of an AP Now teacher will write general
A.P. on the board and explain its term and common difference. a, a + d, a + 2d, a + 3d, …….. a + (n  1)d With the help of these terms find
the formula for general term of an A.P. a_{n} or t_{n} = a + (n
 1)d Where : a is the first term, n is the number of terms d is the common difference. Teacher will also help the
students in the implementation of this formula in different problems.

4 
General Term from the end of the AP
sequence Now teacher will explain the
method of finding the general terms of an AP from the end of the sequence.
The formula derived is given below a_{n} or t_{n} =
l  (n1)d Where: l is the last term of the sequence n is the number of terms d is the common difference Students should be given
sufficient number of problems for practice and implementation of the formula. 
5 
Sum to n terms of an AP Now teacher will introduce the
formula for finding sum to n terms of an AP and explain its components and
the derivation.
Where : a is the first term n is the number of terms d is the common difference l is the last term Teacher
will assign sufficient number of problems to the students for practice. 
6 
Sum to n terms from the
end of an AP Now teacher will introduce the
formula for finding sum to n terms from the end of an AP and explain its
components and the derivation. Where: l is the last term of the sequence. Teacher
will assign some problems based on the implementation of this formula. 
7 
Taking 3, 4, 5 terms in AP Teacher will also provide the knowledge to the students,
of taking three, four and five terms in an AP. Three terms in an AP can be taken as a  d, a, a + d Four terms in an AP can be taken as a  3d, a  d, a + d, a + 3d Five terms in an AP can be taken as a  2d, a  d, a, a + d, a + 2d 
8 
Applications: Now teacher will assign some word problems based on our
daily life situations and help the students in the implementations of the
above formulas in these problems. 
 Sequence, Series and Arithmetic Progression.
 All formulas and all important concepts related to the Arithmetic progression.
 Students should be able to find the nth term of the AP from the starting and from the end of the sequences.
 Students should also be able to find the sum to n terms of the AP from the starting and from the end of the sequences.
 Review questions given by the teacher.
 Students should prepare the presentation on the derivation of the formula for finding the nth term of the sequence and the formula for finding the sum to n terms from the starting and end of the sequence.
 Solve N.C.E.R.T. problems with examples.
 Solve assignment on Multiple Choice Questions (MCQ) given by the teacher.
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Very helpful document
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