This document contains an innovative lesson plan about finding the area of a sector of a circle. It begins with an introduction to the topic and key terms. Then, the teacher engages students in an activity where they determine the sector of a circle for different examples. The teacher explains the relationship between the central angle and sector area, demonstrating formulas and concepts through multiple examples. Students practice applying the formula to find the area of sectors for different circle radii and central angles. By the end of the lesson, students understand how to calculate the area of a sector of a circle using the given formula.

1. INNOVATIVE LESSON PLAN
Name of the Teacher : Jisha Joseph Standard : IX
Name of the School : New H.S.S. Nellimoodu Division :
Subject : Mathematics Strength :
Unit : hr¯-¯nsâ Af-hp-IÄ Duration : 45’
Sub Unit : hr¯mwi-¯nsâ ]c-¸-fhv Date :
CURRICULAR STATEMENT
x ´ F¶p ImWp-¶p.
‘r’ x’ 2
Bchpw 'tI{μ-tIm-Wp-apÅ Hcp hr¯mw-i-¯nsâ ]c-¸-fhv πr
360
CONTENT ANALYSIS
Terms : hr¯mw-iw, hr¯mw-i-¯nsâ tI{μ-tIm¬, hr¯mw-i-¯nsâ ]c-¸-f-hv.
Fact : (i) tI{μ-tIm-Wnsâ Afhv IqSp-t´mdpw hr¯mwi¯nsâ ]c-¸-fhpw IqSpw.
(ii) hr¯mwi¯nsâ tI{μ-tIm-Wpw ]c-¸-fhpw tÀ Ap-]m-X-¯n-em-Wv.
(iii) Hcp hr¯s¯ 4 ka-`m-K-§-fm-¡n-bm tI{μ-tIm-¬ 90o bpÅ mev hr¯mw-i-§Ä In«pw.
Concept : (i) hr¯mwiw F¶ Bibw.
(ii) hr¯mwi¯nsâ ]c-¸-fhv F¶ Bibw.
Principle : hr¯mwi¯nsâ ]c-¸-fhv F¶Xv B hr¯-¯nsâ ]c-¸-f-hns tI{μ-tIm¬ sIm−v KpWn¨v 360 sIm−p
`mKn-¡p-¶-Xnp Xpey-am-Wv.

2. Definition : Hcp hr¯¯nse GsX-¦nepw Hcp Nm]-¯nsâ A{K-_n-μp-¡sf hr¯-tI-{μ-hp-ambn tbmPn-¸n-¡p-t¼mÄ In«p¶ hr¯-`m-K-¯ns hr¯mwiw F¶p
]d-bp-¶p.
Process : hr¯mw-i-¯nsâ ]c-¸-fhv I−p-]n-Sn-¡p¶ {]{Inb.
x Formulae : 2
hr¯mw-i-¯nsâ ]c-¸-fhv = ´
πr
360
x - hr¯mw-i-¯nsâ tI{μ-tIm¬
r - hr¯¯nsâ Bcw
Learning Outcomes :
Pupil,
1. Remembering informations of a sector of a circle.
2. Develops, understanding to finding the sector of a circle.
3. Applying the above information in familiar situations.
4. Analysing the information to explore understandings and relationships.
5. Justifying the above concepts and formulae.
6. Creating new ideas related to the above facts and concepts.
7. Develops skill in finding the Area of a sector of a circle.
8. Develops interest in finding the Area of a sector of a circle.

3. Pre - requisites : hr¯w, hr¯-¯nsâ ]c-¸-f-hv, Nm]w, tI{μ-tIm¬
Learning aids : Iw]yq-«À
Classroom Interaction Procedure Pupils Response
Preparation
A²ym-]nI Ip«n-I-fpsS ap¶-dnhv ]cn-tim-[n-¡p-¶-Xn-mbn hr¯-cq-]-§-sf-¡p-dn¨v
tNmZn-¡p-¶p.
hr¯-¯nsâ ]c-¸-fhv ImWp-¶-sX-§-s-sb¶v- tNmZn-¡p-¶p.
Nm]-s¯-¡p-dn¨v And-bmtam F¶p tNmZn-¡p-¶p.
Nm]-¯nsâ tI{μ-tIm¬ F´m-sW¶v tNmZn-¡p-¶p.
Development
Activity
A²ym-]nI Ip«n-Isf hnhn[ {Kq¸p-I-fmbn Xncn-¡p-¶p. Hmtcm {Kq¸n-tmSpw
hyXykvX Bc-apÅ hr¯-§Ä hc-bv¡m³ Bh-iy-s¸-Sp-¶p. AXn Hcp Nm]w

4. ASbmf-s¸-Sp-¯p-hm³ Bh-iy-s¸-Sp-¶p. Nm]-¯nsâ A{K-_n-μp-¡sf hr¯-tI{μ
hpambn _Ôn-¸n-¡m³ Bh-iy-s¸-Sp-¶p.
O
A B
Ct¸mÄ e`n¨ hr¯-¯nsâ AOB F¶ `mKs¯ hr¯mwiw F¶p ]d-bp-sa¶v
A²ym-]n-I-bpsS klm-b-t¯msS Ip«n-IÄ a-Ên-em-¡p-¶p. I¼yq-«-dnsâ klmb
t¯msS A[ym-]nI hr¯mwiw F¶ Bibw Ip«n-IÄ¡v hyà-am-¡n- sIm-Sp-¡p-¶p.
Slide 1
O
O hr¯mwiw A B
A B Hcp hr¯¯nsâ GsX-¦n-ep-samcp Nm]-¯nsâ A{K-_nμp¡sf
hr¯-tI-{μhpambn tbmPn-¸n-¡p-t¼mÄ In«p¶ hr¯-`m-K-¯ns hr¯mwiw F¶p ]d-bp-¶p.

5. AOB F¶ cq]-amWv hr¯mwiw F¶v A[ym-]nI Ip«n-IÄ¡v hyà-am-¡n- sIm-Sp-¡p-¶p.
AOB F¶ hr¯mwi¯nsâ tI{μ-tIm¬ F´m-sW¶p ]d-bp-hm³ A[ym-]nI Bh-iy-s¸-Sp-¶p.
XpSÀ¶v A[ym-]nI I¼yq-«-dnsâ klm-b-t¯msS tI{μ-tImWpw hr¯mw-i-¯nsâ ]c-¸-fhpw
X½n-epÅ _Ôw hyà-am-¡n-s¡m-Sp-¡p-¶p.
Slide 2
tI{μ-tImWpw ]c-¸-fhpw
tI{μ-¯nsâ Afhv IqSp-¶-Xn--p-k-cn¨v hr¯mw-i-¯nsâ ]c-¸-fhpw hÀ²n¡p-¶p.
tI{μ-tImWpw hr¯mw-i-¯nsâ ]c-¸-fhpw X½n-epÅ _Ôw F´m-sW¶p tNmZn-¡p-¶p.
AXm-bXv hr¯mw-i-¯nsâ tI{μ-tImWpw AXnsâ ]c-¸-fhpw kam-p-]m-X-¯n-em-Wv. XpSÀ¶v
A[ym-]nI ASp¯ ssÉUv {]ZÀin¸n-¡p-¶p.

6. Slide 3
mev ka`mK-§-fm-¡n-bm tI{μ-tIm¬
D
< AOB=< BOC =< COD =< DOA = 90o
4 ka`mK§fm¡pt¼mÄ Hcp hr¯mw-i-¯nsâ tI{μ-tIm¬
A O C
360
4
90o
=
=
1 = ´
2
B hr¯mwi-¯nsâ ]c-¸-fhv πr
4
2
πr
90 = ´
360
XpSÀ¶v hr¯s¯ 8 Xpey `mK-§-fm¡n amän-bm Hcp hr¯mw-i-¯nsâ ]c-¸-fhv ImWp-¶
-sX-§-s-sb¶p I¼yq-«-dnsâ klm-b-t¯msS hyà-am-¡ns¡mSp¡p¶p.
Slide 4
8 ka-`m-K-§-fm-¡n-bm ]c-¸-fhv
B C D 8 ka-`m-K-§-fm-¡-nbm Hcp hr¯mw-i-¯nsâ tI{μ-tIm¬
360 = =
A E 45o
8
1 = ´
2
H G F hr¯mw-i-¯nsâ ]c-¸-fhv πr
8
2
45
= ´pr
360

7. hr¯s¯ 360 Xpey `mK-§-fmbn amän-bm Hcp hr¯mw-i-¯nsâ tI{μ-tIm¬ 10 BsW¶pw AXn-mÂ
hr¯mw-i-¯nsâ ]c-¸-fhv 2
1 ´ πr
BsW¶pw Ip«n-IÄ Is−-¯p-¶p. CXn-Â n¶pw tI{μ-tIm¬ xo
360
x ´ BsW¶ nKa¯n Ip«nIÄ F¯nt¨cp¶p. XpSÀ¶v
2
Bbm hr¯mw-i-¯nsâ ]c-¸-fhv πr
360
hr¯mwi¯nsâ ]c-¸-fhv F¶ Bibw I¼yq-«-dnsâ klm-b-t¯msS A²ym-]nI hyà-am-¡n-s¡m-Sp-¡p-¶p.
Slide 5
hr¯mw-i-¯nsâ ]c-¸-fhv
A
Bcw ‘r’ Bb Hcp hr¯mwi¯nsâ tI{μ-tIm¬ xo
BsW-¦n B hr¯mw-i-¯nsâ
= ´ x
2
A B ]c-¸-fhv πr
360
BWv.
O
xo

8. Application:- Ip«n-IÄ¡v Bibw hyà-amtbm F¶-dn-bm³ A²ym-]nI Hcp {]ivw ÂIp-¶p.
hr¯-¯nsâ Bcw 7 cm Dw Npä-fhv 25 cm Dw Bbm AXnsâ ]c-¸-f-hv F{X ?
r = 7 cm
Npä-fhv = 25 cm
´ =
´ =
2π 7 5
x
x
x
180
πr 25
180
2πr 25
360
´ ´ =
x = ´
25 180
7π
πr2
hr¯mw-i-¯nsâ ]c-¸-fhv = x
360
´
=
2 ´ ´ ´
25 180
7π
π 7
360
=
72
25´
14
= 87.5cm2

9. Review : hr¯mw-i-¯nsâ ]c-¸-fhv ImWp-¶-Xn-pÅ kq{X-hmIyw F´v ?
Follow -Up Activity : ‘O’ tI{μ-am¡n hc¨ Nm]-§-fmWv AB, CD Ch. OC=12cm, OB=8cm
Bbm sjbvUv sNbvX `mK-¯nsâ ]c-¸-fhv I−p-]n-Sn-¡p-I.
O
A B
C D