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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.
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.
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
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.
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.
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
hr¯s¯ 360 Xpey `mK-§-fmbn amän-bm Hcp hr¯mw-i-¯nsâ tI{μ-tIm¬ 10 BsW¶pw AXn-m 
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
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
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

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Jisha joseph

  • 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-m hr¯mw-i-¯nsâ ]c-¸-fhv 2 1 ´ πr BsW¶pw Ip«n-IÄ Is−-¯p-¶p. CXn- 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