Lesson Plan Math Class 12 Ch-13 | Probability

E-LESSON PLAN MATHEMATICS
CLASS - XII
CHapter - 13 : PROBABILITY

Lesson Plan, Class XII Subject Mathematics, chapter 13, Probability , for Mathematics Teacher. Effective way of Teaching Mathematics. Top planning by the teacher for effective teaching in the class. 

Rmb dav centnary public school Nawanshahr
NAME OF THE TEACHER				DINESH KUMAR
CLASS	10+2	CHAPTER	13	SUBJECT	MATHEMATICS
TOPIC	PROBABILITY			DURATION : 25 CLASS MEETINGS

PRE- REQUISITE KNOWLEDGE:

• Knowledge of probability class IX & X

• Knowledge of probability class XI

TEACHING AIDS:

Green Board, Chalk,  Duster, Charts, smart board, projector, laptop etc.

METHODOLOGY:

Lecture cum demonstration method.

LEARNING OBJECTIVES :

• Conditional probability.

• Multiplication Theorem on probability.

• Independent events, mutually exclusive events and exhaustive events.

• Total probability , and Bayes theorem.

• Random variable and its probability distribution.

• Mean and variance of random variable.

LEARNING OUTCOMES:

After studying this lesson students should know the 

• Experimental, Theoretical and conditional probability. 

• Students should know the multiplication theorem, independent events, total probability 

• Students should know the Baye’s theorem. 

• Students should know the random variable and  its probability distribution , 

• Students should know the mean and variance of random variable.

RESOURCES

• NCERT Text Book,

• NCERT Exemplar Book of mathematics,

RESOURCE MATERIAL : 

• Worksheets , E-content, Basics and formulas from  (cbsemathematics.com)

KEY WORDS:

Random Experiment, Sample Space (S), Event (E), Equally Likely Outcomes, Favourable Outcomes, Mutually Exclusive Events, Non-Mutually Exclusive Events, Exhaustive Events, Equally Likely Events , Independent Events , Dependent Events, Complementary Events, Conditional Probability.

PROCEDURE

[Click Here for Complete Explanation]

Start the session by asking the questions related to the sample space, experimental and theoretical probability. Now introduce the topic conditional probability step by step as follows.

Explain the Conditional Probability :

If E and F are two events associated with the same sample space of a random experiment, the conditional probability of the event E given that F has occurred,  is given by

 

Explain the multiplication theorem on probability and help the students in implementing these results in the problems.

If A and B are two events associated with a random experiment, then

 

Now explain the terms Independent events, Mutually Exclusive events and the difference between these two.
Now explain the concept of total probability and implement these results is different problems.

Let S be a sample space and let E₁, E₂, E₃, ………, E_n be n mutually exclusive and exhaustive events

If A is any event then :

 

Explain the Baye’s Theorem and help the students in implementing this theorem in different problems.

Let S be a sample space and let E₁, E₂, E₃, ………, E_n be n mutually exclusive and exhaustive events associated with a random experiment.

If A is any even which occurs with E₁ or E₂ or E₃ or ……or E_n

 

Define random variable : It is a real valued function whose domain is the sample space of a random experiment.
Now explain the probability distribution of a random variable.
Now explain the Mean and Variance of a random variable and use these results to solve the problems.

 

STUDENTS DELIVERABLES:

• Review questions given by the teacher. 

• Students can prepare the presentation on basic concepts of probability.  

• Solve NCERT problems with examples.

EXTENDED LEARNING:

Students can extend their learning in Application of Integrals through the  RESOURCE CENTRE 
students can also find many interesting topics on mathematics at cbsemathematics.com

ASSESSMENT TECHNIQUES:

• Assignment sheet will be given as home work at the end of the topic. 

• Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.

• Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.

• Re-test(s) will be conducted on the basis of the performance of the students in the test.

Competency based assessment can be taken so as to ensure if the learning outcomes have been achieved or not. e.g.

• Puzzle

• Quiz

• Misconception check

• Peer check

• Students discussion

• Competency Based Assessment link: M C Q

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