Lesson Plan, Class XI (Ch-14) | Probability

LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

Lesson plan for maths class XI  probability, cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 11, lesson plan for maths teacher in B.Ed.

RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR
NAME OF THE TEACHER				DINESH KUMAR
CLASS	XI	CHAPTER	14	SUBJECT	MATHEMATICS
TOPIC	Probability			DURATION : 10 Class Meetings

PRE- REQUISITE KNOWLEDGE:-

• Knowledge of Probability class IX & X

• Knowledge of set theory, permutation and combination class XI.

TEACHING AIDS:- 

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

METHODOLOGY:

Lecture method, Demonstration and scaffolding method of teaching.

LEARNING OBJECTIVES:

•  Introduction probability, theoretical and practical probability.

• Different types of events like Sure event, impossible event, equally likely event, and occurrence of events.

• Random experiment, outcomes, sample space (set representation including one coin, two coin, three coin, four coin, one die, two die, playing cards etc.)

• Mutually exclusive events, exhaustive events.

• Probability of the events with the special word:  ‘not’ , ‘or’, ‘and’ , ‘at least’ , ‘at most’.

• Axiomatic probability, connections with other theories of earlier classes.

LEARNING  OUTCOMES:-

After studying this lesson student should know 

• The term probability, outcomes, events, sample space, equally likely events, mutually exclusive events, exhaustive events and random experiment. 

• Sample space related to the one coin, two coins, three coins and four coins and also probabilities related to these sample space.

• Sample space related to the one die and two dice and also probabilities related to these sample space.

• The outcomes and probabilities related to the playing cards.

• Students should understand the use of set theory and permutations and combinations while finding the probabilities.

PROCEDURE :

Start the session by asking the question related to the probability of simple problems, sample space with one coin or one die and other questions which explain the word probability. Now  introduce the topic Probability step by step as follows.

Complete Explanation Topic

[Probability Part 1]

[Probability Part 2]

Introduction

In our daily lives, we often come across situations where the outcome is uncertain. For example, we cannot predict with certainty whether it will rain tomorrow, whether a tossed coin will land on heads or tails, or what number will appear when a die is rolled. 

Probability is the branch of mathematics that helps us measure and analyze such uncertainty. It provides a numerical value, ranging from 0 to 1, that represents how likely an event is to occur. The study of probability plays an important role in decision-making and is widely used in fields such as science, economics, medicine, sports, engineering, and data analysis.

Definition

Probability is defined as the ratio of number of favourable outcomes to the number of possible outcomes.

Explain the experimental probability  and theoretical probability and the difference between these two probabilities.

PROBABILITY WITH  TOSSING OF COINS

Now explain the term outcomes and write the sample space related to the one coin, two coins, three coins and four coins and probabiliries related to these sample space.

When one coin is tossed then sample space

S = {H, T} ⇒ n(S) = 2

When two coins are tossed then sample space
S = {HH, HT, TH, TT} ⇒ n(S) = 4 = {1, 2, 1}

When three coins are tossed then sample space
S = {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}
⇒ n(S) = 8 = {1, 3, 3, 1}

When three coins are tossed then sample space
S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, THHT, THTH, TTHH, HTTH, HTTT, THTT, TTHT, TTTH, TTTT}
⇒ n(S) = 16 = {1, 4, 6, 4, 1}

PROBABILITY WITH TOSSING OF DICE

Now explain the term outcomes and write the sample space related to the one die, two die and probabilities related to these sample space. 

When a die is thrown then sample space

S = {1, 2, 3, 4, 5, 6} ⇒ n(S) = 6

When two dice are thrown then sample space

S = {(1,1), (1,2), 1,3), 1,4), 1,5), 1,6), 
       (2,1), (2,2), 2,3), 2,4), 2,5), 2,6), 

      (3,1), 3,2), (3,3), 3,4), 3,5), 3,6),
      (4,1), (4,2), 4,3), 4,4), 4,5), 4,6), 

       (5,1), 5,2), 5,3), 5, 4), 5, 5), 5, 6),
        (6,1), (6,2), 6,3), (6,4), 6,5), 6,6)} 
⇒ n(S) = 36

Playing cards

Now explain the sample space with the playing cards and give complete knowledge of all the terms related with the playing cards like face card, ace card, red card, black card, spade, club, diamond and heart and discuss the probabilities related to the playing cards.

Now explain and define the terms sure event, impossible event, equally likely events and explain the range of probability.




Explain the meaning and use of the special terms in the probability like



Help the students in implementing all these terms in the problems

Now give explanation of the relation



Also help the students in the implementations of all these results in the problems.

STUDENTS DELIVERABLES:-

• Review questions given by the teacher. 

• Students should prepare the presentation individually or in groups on the definitions, sample space and  formulas of probability.  

• Solve NCERT problems with examples.

EXTENDED LEARNING:-

Students can extend their learning in   through the Resource Centre Mathematics . Students can also find many interesting topics on mathematics at the site:   cbsemathematics.com

DIFFERENTIAL LEARNING

For Below Average Students

• Mind/ Concept maps
• Charts , Models and activity
• Simple questions

For Average Students

• Learning situations through watching video, creating collage, completing puzzles, assignment.

For Above Average Students:

• Group Discussion
• Higher Order Thinking  Skill questions

SKILLS ENHANCED

Observation  skill,  analytical skill,  critical thinking, team work, constructive approach, interpersonal skill,  engagement  in learning process etc.

ASSESSMENT TECHNIQUES:

• Assignment sheet (Home Assignment) 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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