Lesson Plan Math Class X (Ch- 11) | Area Related to Circle

LESSON PLAN   SUBJECT MATHEMATICS (10)
CHAPTER 11 : AREA RELATED TO CIRCLE

lesson plan for math class X chapter 11 Area related to the plane figures, Method to write lesson plan for math class 10,  lesson plan for math teacher in B.Ed.

Rmb dav centnary public school Nawanshahr
NAME OF THE TEACHER				DINESH KUMAR
CLASS	X	CHAPTER	11	SUBJECT	MATHEMATICS
TOPIC	AREA RELATED TO CIRCLE			DURATION : 7 CLASS MEETINGS

PRE- REQUISITE KNOWLEDGE:

• Basic knowledge of plane figures like circle triangle and quadrilateral class VIII and IX .

• Properties of circle and cyclic quadrilateral.

TEACHING AIDS:

Green Board, Chalk,  Duster, Charts and model of circle etc.

METHODOLOGY:

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

LEARNING  OBJECTIVES:

• Introduction and definitions related to the circle, radius, diameter, chord, segment, sector, circumference etc.

• Circumference and perimeter of the circle, semi-circle, quadrant and length of arc.

• Area of circle, minor-sector, major-sector, minor- segment, major-segment etc.

• In calculating area of segment of a circle, problems should be restricted to central angle of  60^o, 90^o, 120^o.

• Area related to the other plane figures like triangles and quadrilaterals should be taken.

• Problems based on the combinations of plane figures: circle, triangle and quadrilateral should taken and discussed thoroughly.

LEARNING  OUTCOMES:

After studying this lesson students should know 

• Identify the radius, diameter, circumference, sector, segment, and arc of a circle.

• Calculate the circumference and area of a circle using appropriate formulas.

• Calculate the length of an arc of a circle.

• Calculate the area of a sector of a circle.

• Determine the area of minor and major sectors.

• Calculate the area of minor and major segments of a circle.

• Find the perimeter and area of a semicircle and a quadrant.

• Calculate the area of shaded regions in geometrical figures.

• Apply mathematical formulas to solve real-life problems involving circular objects.

RESOURCES

• NCERT Text book of Mathematics

• NCERT Exemplar Text Book

• RESOURCE CENTRE at cbsemathematics.com

• DAV Resource Material for class 10

KEY WORDS :

Circle, Radius, Diameter, Circumference, Chord, Arc, Sector, Minor Sector, Major Sector, Segment, Minor Segment, Major Segment, Central Angle, Semicircle, Quadrant, Perimeter, Area of Circle, Area of Sector

LEARNING ACTIVITIES:

• INTRODUCTORY ACTIVITY :  Click Here

• EXPERIENTIAL ACTIVITY :

• ART INTEGRATED ACTIVITY 

PROCEDURE :  

[Complete Explanation of the topic : Click Here]

Start the session by checking the  previous knowledge of the students, by asking the questions about radius, diameter, chord, segment, sector etc. After this introduce the topic area related to the circle(plane figures) step by step as follows. 

Introduction

Circle, triangle quadrilateral and other polygons are two dimensional figures. So these figures are called plane figures. In this chapter we will discuss the area related the plane figures and combinations of plane figures. 

First of all teacher will define all the terms which are related with the circle, like definitions of  Circle, centre of the circle, radius, diameter, chord, segment, sector, minor segment, major segment, minor sector, major sector, semicircle, quadrant and circumference of the circle.

Circumference and perimeter

Now teacher will explain different properties of circle to the students and explain the difference between the circumference and perimeter of the circle.

Length of curved surface is called circumference and length of the boundary is called perimeter.

In case of circle circumference and perimeter both are same. But in semi-circle both are different.

Now teacher will explain the formula and method of finding the circumference and perimeter of the circle, semi-circle and quadrant.

Circumference of semi-circle = 𝞹r

Perimeter of semi-circle = 𝞹r + 2r

Perimeter of quadrant of circle = (1/2)𝞹r + 2r

Area of Segment and Sector

Now teacher will explain the formula and method of finding the area of the circle, semi-circle, quadrant, minor segment, major segment, minor sector, major sector all with central angle 60^o, 90^o, 120^o

Also help the students in the implementations of all these formulas.

Area of circle  

Area of minor sector  

Area of major sector = 

Area of minor segment =  

Area of major segment =  

Area of Quadrant =  

Now explain the area related to different types of triangles and their implementations in different problems.

Area of triangle,  right angled triangle,  equilateral triangle and scalene triangle. 

Area of triangle = 

Area of equilateral triangle = 

Area of Quadrilaterals

Now teacher will explain the area related to different types of quadrilaterals  and their implementations in different problems.

Area of trapezium, parallelogram, rectangle, rhombus and square.

Area of quadrilateral = 

Area of parallelogram = 

Area of rectangle = 

Area of rhombus = 

Area of square = 

Now teacher will introduce the topic combination of different plane figures and explain the topic by taking different examples.

Angle made by minute and hour hand of the watch.

Here teacher will explain the  angle made by minute hand in one minute = 6^o  and angle made by hour hand in one minute = ( ½)^o

Teacher will also explain the topic by taking some examples

Regular Hexagon

Teacher will explain the concept of regular hexagon and method of finding its area.

A regular hexagon can be divided into six equilateral triangles. So 

Area of regular hexagon = 6 X Area of equilateral triangle.

CREATION 

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

MIND MAP / CONCEPT MAP : Click Here

MIND MAP

STUDENTS DELIVERABLES:-

• Review questions given by the teacher. 

• Students can prepare a Presentation on the topic  “prove that given number is irrational number”. 

• Solve N.C.E.R.T. problems with examples, 

• Solve assignment of Multiple Choice Questions (MCQ) 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

Students can also extend their leaning by watching this topic on video.

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.