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MODEL LESSON PLAN : Maths

                                        Model   LESSON PLAN
Name of the teacher     :                                    Subject   :  Mathematics                             Date:
School                           :                                     Topic       :  Menstruation                          Time:
Standard                       : IX                                 Sub Topic : Sector of a circle        Period:
Strength                        :
Instructional objectives: - The pupil
1.   acquires knowledge about the method of finding the area of the sector of a circle
2.   develops understanding of the method of finding the area of the sector of a circle
3.   applies the knowledge to solve some problems using the formula
4.   develops skill in a) drawing free hand sketch of the sector of a circle b) computation
5. develops interest by discussing the given problem
6. develops scientific attitude towards the sector of a circle
   and appreciation by making the sector of circles with different measures.
SPECIFICATIONS:-
The pupil
1.     recalls central angle and formulas for length of arc of the sector of a circle.
2.     recognizes the method of finding the area of the sector of a circle.
3.     identifies the shape of circle
4.     translates the verbal form of central angle to symbolic form,
5.     suggests alternate formula for finding the area of the sector of a circle
6.     analyses the given problem
7.     establishes the required relationship
8.     generalizes the area of the sector of a circle with length of arc ‘l’ and radius ‘r’
9.     does written calculations systematically
10. discusses the means to solve the problem
11. considers the given problem in all its aspects
12. makes models with the help of paper cuttings
Teaching Aids:-
Colour Papers for cutting sector of circles with different measures.

Specifications
Content analysis
Learning Experiences
Evaluation
The pupil
identifies



 recalls
It is circle in shape

Ring, ball, bangle etc.

Area of circle=πr2

Part of a circle within two radii and an arc is sector
What is the shape of this picture?

Can you give some examples of things that are circle in shape?
What is the formula to find the area of a circle whose radius is 'r'?
In the circle what is sector?

recognizes
To find the area of a sector of a circle with length l units and radius r units
Let us find the area of a sector of a circle whose length of arc ‘l’units and radius ‘r’ units

analyses


 recalls
Length of the arc l, radius of the circle r, and central angle.
If the vertex angle lies at the centre of a circle, then the angle is called central angle.
What are the measures needed to find the area of the sector of a circle?
What is central angle?
What are the different types of angles?




Specifications
Content analysis
Learning Experiences
Evaluation
makes models

In the paper cutting of circle with 'c' as centre draw two arcs at two different points and denotes it as 'A' and 'B'

translates
L ACB is the central angle
Now how can you write the central angle in the form of symbol?

draws neatly
How can you represent the above circle in a diagram?

recognizes








suggests


recalls
ACB is the sector of a circle


A=


D is the central angle


      


          

What can you say about the sector of a circle?
What is the area of a sector of a circle whose central angle is 'D' and radius 'r' units?

What is 'D'?

How can you rewrite the formula in some other form/?

What is the formula to find length of arc of a sector of a circle?
What is the value of π?










Specifications
Content analysis
Learning Experiences
Evaluation

recognizes
A=   lr
        2
Now what is the formula for finding the area of sector in terms of l?


generalizes
        Yes                  
Whether the formula for finding the area of sector in terms of ‘l’ and” ‘r’ is true for all measures of circle?
If radius is 5cm, and the length of the arc is 15 π what ‘D’ is?










Let us solve a problem. Find the length of arc and radius if the area of sector a circle is240 and whose central angle is 150.












analyses
Given. A=240 D= 150
What is given in the Problem?
What is the formula to find l?


Length of arc and radius
What is to be determined?



240 = x
Substituting the given details in the area of the sector of a circle, the length of the arc and radius can be found







does written calculations systematically

r=

  =

  = 24 cm
Now find tlie length of the arc?

A=
Is it true?
establishes relation ship
L=
  =

  = 20








Review
1. What is central angle?
2. How will you find the arc length and area of the sector of a circle?
3. What is the area of the sector of a circle?
Assignment
      1.  The length of arc and radius is 8 cm and 10cm. Find the area of the sector of a circle
    2.   Find the length of arc if the central angle of the sector of a circle is 135 and radius is 8 cm


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