akhila ba

MANNAM FOUNDATION CENTRE FOR

EDUCATION TECHNOLOGY

EDAKKAD, KOLLAM

INNOVATIVE TEACHING MANUAL

Submitted to Submitted by,

Prof. N.K. Venugopal Akhila Babu

Mathematics

Candicate Code : 18014373002

Name of the Teacher : Akhila Babu Standard : VIII

Name of the School : M.S.G.H.S Division : B

Subject : Mathematics Strength : 𝟑𝟐𝟑𝟓 ⁄

Unit : kahm-Iy§Ä Duration : 40 mnts

Topic : kahm-Iy-§Ä D-]-tbm-Kn-¨n-«p-f-f Date : 7.10.15

{]iv-\ \nÀ-²mcWw

Curricular Statement : Pupils develops different dimensions of knowledge and attitude on the concept of equations

and its problems and its role in our life through lecture method, induction method, problem solving and discussion by

questioning, participation activity and group discussion.

Content Analysis

New Terms : Nil

Fact : kw-Jy-I-Ä¡v ]I-cw N-c-§Ä D-]-tbm-Kn-¡p-¶ co-Xn-bm-Wv _o-P-K-Wn-Xw coXn

kw-Jy-I-fp-sS Xp-eyX-sb kq-Nn-¸n-¡p-¶ _o-P-K-Wn-X-hm-N-I§Ä

Concept : kahm-Iy-§Ä D-]-tbm-Kn-¨p-f-f {]-iv-\-\nÀ-²mc-Ww F-¶ Bibw

Learning Outcomes

Enables the pupils to develop

1) Factual knowledge on problems solving based on equations through

a) Recalling the fact and concept mentioned in the content analysis.

b) Recognizing the equations.

2) Conceptual knowledge on the problem solving based on equations through

a) Recalling the equation.

3) Procedural knowledge on the problem solving on equations through

a) Executing the activity such as subtraction, multiplication and Division..

b) Explaining the equation.

4) Meta-cognitive knowledge in problem solving based on equations through

a) Executing the activity as per the instruction.

b) Recognizing the equation of different data from daily life.

5) The pupils develops scientific attitude towards mathematics through the study of equations.

Pre - requisites : kahm-Iy-§Ä F-¶ B-ibw, _o-P-K-Wn-X-hm-N-I§Ä

Teaching learning : NmÀ«v þ {]-iv-\w F-gp-XnbXv

CLASSROOM INTERACTION PROCEDURE

PUPIL’S RESPONSE

Introduction

A[ym]n-I Ip-«n-I-fp-sS ap-¶-dn-hv ]cn-tim-[n-¡p-¶-Xn-\m-bn

k-a-hm-Iy-§Ä F-´m-sW-¶v tNm-Zn-¡p¶p.

A-[ym]n-I ]-d-bp-¶p i-cn-bmWv

Presentation

k-a-hm-Iy-¯n-\v H-cp D-Zm-lc-Ww ]-d-bm³ A-[ym]n-I Ip-

«n-I-tfm-Sv B-h-iy-s¸-Sp¶p

kwJy-I-fp-sS Xp-eyX-sb kq-Nn-¸n-¡p-¶ _o-P-KWn-X

hm-N-I§-sf k-a-hm-Iy-§Ä F-¶v ]-d-bp-¶p F-¶v Ip-«n-IÄ

]-d-bp¶p.

A-[ym]n-I B-h-iy-s¸-« {]-Im-cw Ip-«n-IÄ k-a-hm-Iy-¯n-

\v D-Zm-l-cWw

2x + 2 = 3x + 2 F¶v ]-d-bp¶p

Activity - 1

A-[ym]n-I Ip-«nI-sf H-cp ]p-Xp-a-bmÀ-¶ co-Xn-bnÂ ]Tn-¸n-

¡m³ Xp-S-§p¶p. Ip-«n-IÄ-¡m-bn H-cp ]n-d-¶mÄ £-WI-¯v

Im-Wn-¡p¶p.

kahm-Iy-X-d-hm-«nÂ kw-LÀjw : I-f-ÎÀ C-S-s¸«p

_o-P-K-Wn-X-]p-cw: _o-P-K-Wn-X-]p-cw X-d-hm-«n-se kw-LÀ-

jm-h-Ø Xp-S-cp¶p. k-a-hm-Iy-X-d-hm-«n-se Aw-K-§Ä

X-½nÂ {]m-b-¯n-sâ t]-cn-em-Wv kw-LÀjw. X-d-hm-«n-se

Aw-K-§Ä {]m-bw Ipd-¨v ]d-ªp F-¶-Xm-Wv {]-iv\w.

X-d-hm-«n-se Aw-K-§fm-b A-P-b\pw hn-P-b\pw X-½n-em-Wv

kw-LÀjw. A-Pb-\v hn-P-b-t\-¡mÄ 10 h.Êv Iq-Sp-X-

em-sW¶pw hn-P-b\pw A-Sp-¯-hÀ-jw A-Pb-sâ {]m-bw

hn-Pb-sâ {]m-b-¯n-sâ c-p a-S-§mIpw F¶pw A-P-b\pw

]-c-kv]-cw B-tcm-]n-¡p¶p. H-Sp-hnÂ I-f-ÎÀ C-S-s]«p.

C-cp-h-cp-sSbpw {]m-bw I-s-¯m³ Xo-cp-am-\n¨p.

A[ym]n-I ]-d-bp-¶p C-hn-sS Im-Wn- -̈Xv H-cp ]-{X-hmÀ-¯-

bmWv. C-Xv hm-bn-¨n-«v F-s´-¦nepw a-\-Ênemtbm ?

C-hn-sS \-ap-¡v I-p-]n-Sn-t¡-Xv A-P-b-sâbpw hn-P-b-

sâbpw {]m-b-am-Wv i-cn A-tÃ ?

Ip«n-IÄ {i-²n-¡p¶p

A[ym]n-I Im-Wn-¡p-¶ ]-{X-hmÀ¯ Ip«n-IÄ

{i-²n-¡p¶p

Ip-«n-IÄ ]-{X-hmÀ-¯ {i-²n-¡p¶p.

AsX

C-hn-sS ]-d-ªn-«p-v A-Pb-\v hn-P-b-t\-¡mÄ 10 hb-Êv

Iq-Sp-X-emWv. A-Sp-¯-hÀ-jw A-Pb-sâ {]m-bw hn-Pb-sâ

{]m-b-¯n-sâ c-v a-S-§m-Wv F-s¶m-s¡-bmWv

Chn-sS hn-Pb-sâ {]mbw x F-s¶-Sp-¡mw. A-Pb-sâ

{]m-bw A-t¸mÄ F-{X-bm-Wv ? A-Sp-¯-hÀ-jw hn-Pb-sâ

{]mbw x+1. A-t¸mÄ A-Sp-¯ hÀ-jw A-Pb-sâ {]m-bw .

x+11 = 2 (x+1) F-s¶-gpXmtam ? A-Sp-¯-hÀ-jw A-Pb-sâ

{]m-bw hn-P-b-sâ {]m-b-¯n-sâ c-p a-S-§m-Wv F-¶p

]-d-ªn-«pv.

x + 11 = 2 (x+1)

x + 11 = 2x + 2

2x + 2 -- x ----= x--+11 -- x

x + 2 = 11

x = 11 – 2 = 9

t{Im-Uo-IcWw

A-t¸mÄ hn-Pb-sâ {]m-bw F-s¶-Sp¯-Xv sIm-v 9 B-

W-tÃm.

A-Pb-sâ {]m-bw F-{X-bm-Wv ?

A-t¸mÄ hn-P-b-\v 9 h-b-Êv. A-P-b-\v 19 hb-Êv i-cn-bm-

WtÃm

A-[ym]n-I ]-d-bp¶-Xv Ip-«n-IÄ kw-{i-²w {K-ln-¡p¶p.

x +10

x + 11 F-¶v Ip-«n-IÄ ]-d-bp-¶p

Ip-«n-IÄ kw-{i-²w {K-ln-¡p¶p

x + 11 = 2 (x+1)

x + 11 = 2x + 2

2x + 2 -- x ----= x--+11 -- x

x + 2 = 11

x = 11 – 2 = 9

A-Pb-sâ {]mbw x + 10

= 9 + 10 = 19

AsX

Activity - 2

A-[ym]n-I Ip-«n-IÄ-¡m-bn H-cp £-WI-¯v Im-Wn-

¡p¶p.

£WI-¯v

A-̧ p-hn-\v H-cm-bn-cw P-·Zn-\ B-iw-k-IÄ

{]n-bsc,

19.9.2015 sh-f-en-bmgv-N A-¸p-hn-sâ ]n-d-¶m-fmWv.

hf-sc sNdn-b co-Xn-bnÂ B-tLm-jn-¡m³ Xo-cp-am-\n-¨n-

cn-¡p¶p. Cu ]n-d-¶mÄ B-tLm-j-¯nÂ ]-s¦-Sp-¡p-¶-

hÀ-¡v H-cp aÕ-cw GÀ-s¸-Sp-¯n-bn-«p-v. þ A-¸p-hn-sâ

F-{Xm-a-s¯ ]n-d-¶m-fm-Wv B-tLm-jn-¡p¶-Xv F-¶v

]-d-bWw. A-Xn-\v Nn-e kq-N-\-IÄ C-hn-sS \Â-Ip¶p.

C-Xv hm-bn-¨n-«v D¯-cw ]-d-bm³ {i-an-¡Ww. FÃm-

h-scbpw Cu ]n-d-¶mÄ B-tLm-j-¯n-te-¡v £-Wn-

¡p¶p.

F¶v

cm-ap

kqN-\IÄ

A-¸p-hn-sâ A-½-bp-sS {]m-bw A-¸p-hn-sâ {]m-b-¯n-

sâ H³]-Xp a-S-§mWv.

Ip-«n-IÄ A-[ym]n-I Im-Wn-¡p-¶

£-WI-¯v hm-bn-¡p¶p.

H³-]-Xp-hÀ-jw I-gn-ªmÂ C-Xv aq-¶v a-S-§m-bn

amdpw

A[ym]n-I ]-d-bp-¶p C-hn-sS A-¸p-hn-sâ {]m-bw B-Wv

I-p-]n-Sn-t¡-Xv. i-cn A-tÃ ?

A-¸p-hn-sâ C-t¸mg-s¯ {]mbw 'x' F-s¶-Sp-¡mw.

A-t¸mÄ A-½-bp-sS {]mbw '9x' F-¶mWv. i-cnbm-tWm.

C-\n 9 hÀ-jw I-gnªm-tem

A-¸p-hn-sâ {]mbw

A-½-bp-sS {]mbw

A-¸p-hn-sâ {]m-b-¯n-sâ aq-¶v a-S-§m-Wv A-½-bp-sS

{]m-bw

A-t¸mÄ A-¸p-hn-sâ {]m-bw 3

t{Im-Uo-IcWw

A-[ym]n-I D-¯-c-§Ä t{Im-Uo-I-cn-¨p ]-d-bp¶p.

Activity - 3

A-[ym]n-I Ip-«n-IÄ-¡m-bn H-cp t\m-«o-kv Im-Wn-¡p¶p.

t\m-«okv

Im¬-am-\nÃ

kw-Jym-Ip-Spw-_-¯n-se H-cwK-s¯ Im¬-am-\nÃ.

C¶-se ssh-In-«v ap-XÂ Im¬-am-\nÃ. I-p-In-«p-¶-hÀ

A-Sp¯ t]m-eo-kvkv-tä-j-\nÂ hnh-cw A-dn-bn-¡p-Itbm

Cu \-¼-cnÂ _-Ô-s¸-Sp-Itbm sN-¿pI. Ph . 900040000

ImWmXm-b Aw-K-¯n-sâ kq-N-\IÄ

Im-WmXm-b kw-Jy-bp-sS A-©v aS-§v B kw-Jy-

bp-sS 4 Iq-Sp-Xem-b a-säm-cp kw-Jy-bp-sS aq-¶p

a-S-§n-\v Xp-ey-amWv

AsX

AsX

3x + 27 = 9x + 9

9 x + 9 – 3 x = 6x + 9

6 x + 9 = 27

6 x = 18

x = = 186⁄ = 3

Ip-«n-IÄ A[ym]n-I Im-Wn-¡p¶

t\m-«o-kv {i-²n-¡p¶p.

A[ym]n-I ]-d-bp¶p

C-hn-sS kw-Jy-bm-Wv I-p-]n-Sn-t¡-Xv B-WtÃm ?

AXmb-Xv Im-WmXm-b kw-Jy-bp-sS 5 aS-§v kw-Jy-sb-

¡mÄ 4 Iq-Sp-Xem-b a-säm-cp kw-Jy-bp-sS aq-¶v a-S-§n-\v

Xp-ey-amWv. C-{Xbpw B-Wv C-hn-sS \Â-In-bn-cn-¡p-¶Xv.

kw-Jy I-p-]n-Sn-¡m³ kw-Jy 'x' F-s¶-Sp-¡mw.

A-t¸mÄ kw-Jy-bp-sS 5 aS-§v F-{X-bm-Wv ?

kw-Jy-sb-¡mÄ 4 Iq-Sp-Xem-b a-säm-cp kw-Jy-bp-sS

3 a-S-§n-\v Xp-ey-amWv. F-{X-bm-Wv C-\nkw-Jy

I-s¯mtam ?

t{Im-Uo-IcWw

A-[ym]n-I Ip-«n-IÄ I-s¯n-b D¯-cw t{Im-Uo-I-cn-

¡p¶p.

Review

H-cp kw-Jy-bp-sS 4 a-S§n-t\m-Sv 20 Iq-«n-b-t¸mÄ 60 In-

«n kw-Jy G-XmWv ?

Follow Up Activity

Hcp kwJy-tbm-Sv A-Xn-sâ ]-Ip-Xn Iq-«n-b-t¸mÄ 75 In-«n

. kw-Jy GXv

AsX

5x

5 x = 3 (x +4)

Ip-«n-IÄ I-s¯mw F-¶p ]-d-bp-¶p

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 122 ⁄ = 6

akhila ba

Education