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Maths glossary
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Innovative teaching manual



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Innovative teaching manual

  1. 1. 1 INNOVATIVE TEACHING MANUAL NAME OF THE TEACHER : SANDHYA J DATE : STANDARD : IX – A DURATION : 45 Minutes SUBJECT : MATHEMATICS PERIOD : UNIT : STATISTICS TOPIC : FREQUENCY POLYGON CURRICULAR STATEMENT: CONTENT OUTLINE STATISTICS - FREQUENCY POLYGON The pupil understands the statistical idea of frequency and the way to construct a frequency polygon of a given data. LEARNING OUTCOMES: Enable the students in (i) comprehending about the preparation of a frequency table. (ii) constructing frequency polygon with the given data.
  2. 2. 2 CONTENT ANALYSIS: TERMS: FREQUENCY POLYGON FACTS: (i) Statistics is the branch of Mathematics which deals with the organized presentation and indepth analysis of such data and the methods of drawing logical conclusions from them. (ii) The presentation of numerical data can be done in the form of pictures and tables. (iii) Numbers used in studying some situation are called scores in Statistics. (iv) Frequency is the number of times a score is repeated. (v) The table prepared by using frequencies is called a frequency table. (vi) A histogram is a graphical representation of a frequency distribution in the form of rectangles with class intervals as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles. (vii) A frequency polygon is a graphic representation of a given frequency distribution; obtained by joining the midpoints of the classes of a histogram. CONCEPT: FREQUENCY POLYGON
  3. 3. 3 PRE-REQUISITES: The pupils have already learned about (i) Frequency distribution table (ii) Histogram TEACHING-LEARNING MATERIALS:  Computers  Smart phones REFERENCES: MATHEMATICS - STANDARD IX(PART 1), GOVT OF KERALA PUPIL ACTIVITY TEACHER RESPONSE INTRODUCTION Students are eager to get the topic Teacher suggests the topic “Frequency Polygon” and advice the students collect information about it.
  4. 4. 4 PUPIL ACTIVITY TEACHER RESPONSE Students grouped among themselves into two groups – A and B. Students browse about frequency polygons through smartphones. Group A collected details about the following: Teacher checked  FREQUENCY DISTRIBUTION the response of Group A.  HISTOGRAM  FREQUENCY POLYGON
  5. 5. 5 PUPIL ACTIVITY TEACHER RESPONSE Group B collected details about the following: PRESENTATION Akshay from Group A presented about frequency distribution table and the construction of frequency distribution table with the help of the following question: Teacher again checked the response of Group B. Teacher consolidated and asked students to present the details collected. FREQUENCY POLYGON WITH ILLUSTRATIVE EXAMPLES
  6. 6. 6 PUPIL ACTIVITY TEACHER RESPONSE All students started constructing frequency table Teacher assesses Akshay’s performance and checked whether the students are performing well. The marks that 42 students of class 9A got in the continuous evaluation for I.T are given below. Make a frequency table taking each marks separately. 9,8,10,7,6,10,8,7,9,8,5,6,9,4,7,6,9,8,5,4,9, 8,7,6,7,8,5,4,7,6,8,4,7,6,7,5,9,8,5,4,4,8
  7. 7. 7 Students constructed frequency distribution table Grade Students 4 6 5 5 6 6 7 8 8 9 9 6 10 2 TOTAL 42 Shanitha from group A about histogram to recall it. The following activity is given. Shanitha : Friends, now you can see that it is a rainy season, right? Students : Yes. Shanitha : Then, here is an interesting question regarding rain. Draw a Histogram of the rainfall during June to August. Rain(mm) 10-20 20-30 30-40 40-50 50-60 Days 8 10 14 20 15 Teacher appreciated the students for their performance.
  8. 8. 8 p P UPIL ACTIVITY TEACHER RESPONSE Students drawn Histogram correctly Dhanya from group B explained about frequency polygon with the help of the above illustrative example: Dhanya: Mark the midpoints of the top of each rectangle and connect these points using straight lines. A new class 0- 10 before the first one of the table and another new class 60-70 after the last class of the table are introduced with frequency 0 in each so that a frequency polygon can be attained. Teacher checked all answers. Teacher called another student for presenting about frequency polygon
  9. 9. 9 PUPIL ACTIVITY Students drawn correctly 25 20 15 10 5 FREQUENCY POLYGON Students among themselves prepared an algorithm for drawing frequency polygon and displayed. TEACHER RESPONSE Teacher checked the figure Teacher appreciated the students 0 0 20 40 60 80 DAYS Step I: Take a graph paper and draw x an y axes. mark them as OX and OY. step ii: Choose a suitable scale for X and Y axes to represent class limits and frequencies respectively. step iii: Mark the midpoints of each class. step iv: Join these points with a scale and pencil.
  10. 10. 10 GENERALIZATION APPLICATION Students searched and finally they got the answer. Teacher arised a doubt: If the data collected is very huge, what will you do for drawing a frequency polygon? A frequency polygon is a graphic representation obtained by joining the midpoints of the class interval.
  11. 11. 11 PUPIL ACTIVITY We can use any spreadsheet program to do this. In GNU/LINUX, some such programs are open office Calc and Gnumeric. Students further explained with the help of the projector TEACHER RESPONSE Teacher satisfied with the presentation
  12. 12. 12 One student presented as follows: Height No.of people 140-150 5 150-160 7 160-170 18 170-180 10 RECAPITULATION (i) What is frequency polygon? (ii) Write the steps in the construction of frequency polygon. Conduct a field study to get the data about any phenomena in our day to day life .
  13. 13. 13 Teacher advices the students to reflect on the class. FOLLOW-UP ACTIVITY Prepare a learning module for the “Frequency polygon”