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