Lesson Plan, Class XI (Ch-11) | Conic Sections

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

Lesson plan for maths class XI (Chapter 11) conic section, cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 11, lesson plan for maths class XI, lesson plan for mathematics grade XI, lesson plan for maths teacher in B.Ed.

TEACHER'S NAME :    DINESH KUMAR	SCHOOL :   RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR
SUBJECT   :   MATHEMATICS	CLASS                  :   XI  STANDARD BOARD                 :  CBSE
LESSON TOPIC / TITLE   :  CHAPTER 11:   CONIC SECTIONS	ESTIMATED DURATION:  This chapter is divided into 10 modules and is completed in 20 class meetings.

PRE- REQUISITE KNOWLEDGE:-

Simple concept of algebra, addition , subtraction  and ability to solve the equations.

TEACHING AIDS:- 

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

METHODOLOGY:-   Lecture method  and Demonstration

OBJECTIVES:-

• Different sections of cone : Circle, Parabola, Ellipse, Hyperbola.

• A point, a straight line and a pair of intersecting lines as a degenerate case of a conic section.

• Standard equation of a Circle and their simple properties.

• Standard equation of a Parabola and their simple properties.

• Standard equation of a Ellipse and their simple properties.

• Standard equation of a Hyperbola and their simple properties.

PROCEDURE :-

Start the session from the plane figures and ask questions about different types of plane figures such as triangles, circles and rectangles. Now tell the students that there  is also  the possibility  of some other plane figures like parabola ellipse and hyperbola. Now introduce the topic step by step as follows.

S. No.	Topic [Conic Section Part- 1] [Conic section Part-2]
1	Introduction  The sections of the double napped right circular cone with the plane are called conic sections. eg:- circle, ellipse, parabola and hyperbola etc. all are the examples of conic sections. Teacher will introduce the topic conic section by giving some examples from the surroundings. Teacher may conduct an activity in the classroom of cutting the carrot in the class with different angles. The main sections of conic sections are circle,  parabola, ellipse and hyperbola. Teacher can demonstrate the concept of conic section by making sections  of double napped cone and then explain all the conic sections one by one. These curves have wide applications in the field of planetary motion, design of telescope, antennas, reflectors of flash light and automobile headlights.
2	Different types of conic sections There are mainly four types of conic sections, Circle, Parabola, Ellipse and Hyperbola. •        When b = 90o, then section is a Circle. •        When a < b < 90o, then the section is an Ellipse. •        When a = b, the section is a Parabola. When  0 ≤ b < a , the plane cuts through both the nappes , the curves are called Hyperbola GRAPHICAL REPRESENTATION OF CONIC SECTIONS Degenerated  cases of Conic Section When the plane cuts at the vertex of the cone, then following cases arises. •        When  a<b      90o , then the section is a point. •        When a = b, the plain contains a generator of the cone and the section is a straight line. When 0 ≤  b < a , then the section is the pair of intersecting lines.
3	CIRCLE A circle is the collection (or set) of all points in the plane which are at equidistant from the fixed point. General equation of the circle Let (x, y) is any point on the circle and (h, k) is the centre of the circle and r is the radius of the circle then equation of the circle is (x - h)2 + (y - k)2 = r2
4	PARABOLA A Parabola  is a set of all points in a plane  that are equidistant from a fixed line and  a fixed point in a plane. Fixed Line is called Directrix and fixed point is called Focus A line through the focus and perpendicular to the Directrix is called Axis of Parabola Different types of parabolas There are mainly four types of parabolas, Upward Parabola, Downward Parabola, Right Parabola, Left Parabola.
5	ELLIPSE An ellipse is the set of all points in a plane the sum of whose distances from two fixed points in the plane is a constant. Two fixed Points are called Foci Mid-point joining the foci is called the Centre The line segment through the foci is called the Major axis The line segment through the centre and perpendicular to major axis is called the Minor axis The end points of major axis are called the vertices
6	HYPERBOLA A Hyperbola is the set of all points in a plane, the difference of whose distances from two fixed points in the plane is a constant Two fixed points are called Foci The midpoint of line segment joining the foci is called the Centre The line through foci is called Transverse Axis The line through the centre and perpendicular to the Transverse axis is called Conjugate Axis The points to which the Hyperbola intersects the Transverse axis is called the Vertices of the Hyperbola
	PROJECTS ON CONIC SECTIONS Students can prepare an Art Integrated project on parabola as shown below Art Integrated project on Conic Section With the help of butterfly a project can be prepared which can explain all types of conic sections like Circle, Parabola, Ellipse and Hyperbola as shown in the figure given below. Art Integrated project on Conic Sections In this project students will download an application Geo-Gebra in their mobile or on their PC. Now with the help of equations of different conic sections a picture of SMILY can be prepared. This picture can explain all types of conic sections as shown in the picture below

EXPECTED OUTCOMES:-

After studying this lesson student should know  

• The different types of sections of cone i.e. circle parabola, ellipse and hyperbola, 
• Their shapes, their general equations, vertices, focuses, axis, eccentricity, major and minor axis, transverse and conjugate axis and the length of Latus rectum etc.
• Students should also know the applications of conic sections in different problems.

STUDENTS DELIVERABLES:-

• Review questions given by the teacher. 
• Students can prepare a presentation  as individual or in groups on the properties of conic sections.  
• Students can prepared Art Integrated Project as explained above.
• Solve NCERT problems with examples and some extra questions from refreshers.

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

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.

THANKS FOR YOUR VISIT

PLEASE COMMENT BELOW