This lesson plan introduces students to calculating the area of a sector of a circle. The teacher begins by reviewing key terms like circle, radius, sector and central angle. Students work in groups to identify sectors in paper circles. The teacher demonstrates calculating the area of a sector by relating the central angle proportionally to 360 degrees. Later, students derive the formula for calculating sector area - πr^2 x (central angle/360) - and practice applying it in examples. By the end of the lesson, students understand how to determine the area of a sector using its radius and central angle.

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’ Bchpw 'x’ tI{μ-tIm-Wp-apÅ Hcp hr¯mw-i-¯nsâ ]c-¸-fhv πr2
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¬ sIm­v
KpWn¨v 360 sIm­p
`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 I­p-]
n-Sn-¡p¶ {]{Inb.
x 
Formulae : hr¯mw-i-¯nsâ ]c-¸-fhv = πr2
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 
B hr¯mwi-¯nsâ ]c-¸-fhv πr2
4
πr2
 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¬
A E  360 
45o
8
 1 
H G F hr¯mw-i-¯nsâ ]c-¸-fhv πr2
8
2
 45 r
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 πr2
1  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
Bbm hr¯mw-i-¯nsâ ]c-¸-fhv πr2
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’ B b Hcp hr¯mwi¯nsâ tI{μ-tIm¬ xo
BsW-¦n B hr¯mw-i-¯nsâ
 x 
A B ]c-¸-fhv πr2
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

=
π 72 
25 180
7π
360


25 
= 72
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 I­p-]
n-Sn-¡p-I.
O
A B
C D