Lesson Plan Math Class X (Ch-13) | Statistics

LESSON PLAN, math. CLASS-10 
Chapter-13, Statistics

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Rmb dav centnary public school Nawanshahr
NAME OF THE TEACHER				DINESH KUMAR
CLASS	X	CHAPTERS	13	SUBJECT	MATHEMATICS
TOPIC	STATISTICS			DURATION : 10 CLASS MEETINGS

PRE- REQUISITE KNOWLEDGE:-

Chapter statistics class 7th & 8th,  mean, mode, median of ungrouped frequency.

TEACHING AIDS:-  

Green Board, Chalk,  Duster, Charts, PPT, Worksheet, Assignments  etc.

METHODOLOGY:-  

Lecture method, Demonstration method , Learning by doing, and Scaffolding method of teaching.

LEARNING OBJECTIVES:

• Introduction and method of finding mean of grouped frequency with three methods.

• Method of finding mode of grouped frequency.

• Method of finding median of grouped frequency.

EXPECTED OUTCOMES:-

After studying this lesson students should know 

• All formulas of finding mean of the given data.

• All formulas of finding mode of the given data.

• All formulas of finding median of the given data.

• The relation between mean, mode median (Empirical formula)  

• Students should also know the method of implementation of these formulas in simple and complex problems.

RESOURCES

• NCERT Text book of Mathematics

• NCERT Exemplar Text Book

• RESOURCE CENTRE at cbsemathematics.com
  

• DAV Resource Material for class 10

KEY WORDS :

Statistics, Data, Grouped Data, Frequency Distribution, Class Interval, Class Size / Class Width, Lower Class Limit, Upper Class Limit, Class Mark, Cumulative Frequency, Mean, Median, Mode, Direct Method, Assumed Mean Method, Step-Deviation Method, Modal Class, Median Class, Empirical Relationship, Less-than Cumulative Frequency, More-than Cumulative Frequency.

CONTENT & PRESENTATION

• Method of finding mean by direct method, assumed mean method and step deviation method.

• Method of finding the mode for grouped frequency.

• Method of finding median for grouped frequency.

• Relation between mean, mode, median by using emperical formula.

LEARNING ACTIVITIES:

• INTRODUCTORY ACTIVITY : 

• EXPERIENTIAL ACTIVITY

• ART INTEGRATED ACTIVITY 

PROCEDURE

Complete Explanation

Start the session by checking their previous knowledge, by asking the questions of mean , mode, median of ungrouped frequency. After this explain the topic to the students. 

Introduction

In this chapter students will learn the method of finding the mean, mode and median of grouped and ungrouped data. Also students will work on the frequency ogive or curve.

Calculation of Mean

Now teacher will explain different methods of calculating mean with grouped and ungrouped frequency.

Mean of ungrouped data

Mean of grouped data

There are three methods of finding the mean of grouped data

(1) Direct method

(2) Assumed mean method

(3) Step Deviation method

For simple data with less calculation Direct method can be used easily. But for the data with larger terms assumed mean method or step deviation method can be use.

Explanation of finding the Missing frequency

Now teacher will explain the method of finding one or two missing frequencies in grouped and ungrouped data. Students should be given sufficient number of problems for practice.

Method of finding mode 

Here teacher will explain  the method of finding the mode with ungrouped data and with grouped data.

Median Class: Class corresponding to the highest frequency is called Model Class.

f₁ is the frequency of the model class

f₀ is the frequency of the class proceeding the median class

f₂ is the frequency of the class succeeding the median class.

Calculation of Median

Now teacher will introduce the topic Median. First of all teacher will explain the Median class and all the abbreviations which are linked with the formula.

Median class : A class corresponding to the cumulative frequency ≥ n/2 is called median class.

l is the lower limit of median class.

 C_f is the cumulative frequency of class preceding the median class

f is the frequency of median class

Ogive: Ogives are of two types (Deleted)

Less than Ogive: This graph can be made by taking upper limits towards the x - axis and cumulative frequency(less than type) towards the y-axis.

More than Ogive: This graph can be made by taking lower limits towards the y - axis and cumulative frequency(more than type) towards the y-axis.

Finding Median From the Ogive (Deleted)

Here teacher will explain the complete method of finding the median by plotting less than ogive and more than ogive on the same graph paper.

Value on the x - axis corresponding to the point of intersection of less then ogive and more than ogive is called the median .

Teacher will also explain the method of finding the median for single curve.

In a single curve, Median is the value on the x-axis corresponding to the value = n/2 on the y-axis.

CREATION (e.g. MIND-MAP, COLLAGE, GRAPH, MAP etc.)

MIND MAP / CONCEPT MAP : Click Here

STUDENTS DELIVERABLE:-

• Review questions given by the teacher. 

• Students should prepare the presentation on the basic concepts and formulas on statistics. 

• Solve NCERT problems with examples.

• solve assignment given by the teacher.

EXTENDED LEARNING:-

Students can extend their learning through the RESOURCE CENTRE and can find more valuable and interesting concepts on mathematics at  cbsemathematics.com

SKILLS ENHANCED

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

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

FEEDBACK:

All those students who performed well will be appreciated positively, and all those who can not perform up to the mark will again be given some important tips, guidance and  positive motivation to go through the topic again and then re-evaluated again. 

If possible then provision of remedial classes can be made for batter results.

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