MANNAM FOUNDATION CENTRE FOR EDUCATION TECHNOLOGY

INNOVATIVE

TEACHING MANUAL

INNOVATIVE TEACHING MANUAL

Name of the teacher : Soumya J Standard : IX

Name of the school : J J V H S S Division : A

Ambalathumbhagom Strength : 29/31

Subject : Mathematics Duration : 40min

Unit : A`n-¶ kw-JyIÄ Date : 20/09/2015

Topic : A`n-¶-kw-JyIÄ

A-SnØm-\ {In-bIÄ

Curricular Statement Pupils develop different dimensions of knowledge and attitude on the concept of basic operations o irrational numbers and its role I our life through lecture method, group discussion and evaluation by requesting participation in group activity reporting presentation

Content analysis Nil.

New Term Facts F®Â kw-Jy-IÄ¡pw `n-¶-kw-Jy-I-Ä¡pw A-h-bp-sS \yq-\-§Ä-¡p-saÃmw s]m-Xphm-b t]-cm-Wv `n-¶-kw-Jy-IÄ

`n-¶-I-§-fÃm-¯ kw-Jy-I-Ä-¡v A-`n-¶ kw-Jy-IÄ F-¶p ]-d-bp¶p

x y G-Xv c-v A-[n kw-Jy B-bm-epw =

x y G-Xv c-v A-[n kw-Jy B-bm-epw =

Concept A-`n-¶ kw-Jy-I-fp-sS A-SnØm-\ {In-b-IÄ (k-¦-e\w,hy-h-I-e\w,

Kp-W\w, lc-Ww) a-\-Ên-em-¡pI

Learning Outcome Enable the pupils to develop

1. Factual knowledge on the concept of basic operations of irrational numbers through a. Recalling the fact concept mentioned in the content analysisb. Recognize the basic operations of irrational numbers

2. Conceptual knowledge on the above concept of a. Recalling the concept of rational numbers , irrational numbersb. Recognize the method of addition, substraction, multiplication

and division of irrational numbers.3. Procedural knowledge on the above concept of

a. Executing the activity as per the instructionb. Finding the solution of given problem.

4. Metacognitive knowledge on the above concept of

a. Executing the activity as per the instruction5. Develop scientific and positive attitude towards mathematics

through the study of basic operations of irrational numbers

Pre requisites F®Â kw-Jy-IÄ, `n-¶-kw-JyIÄ, A-h-bp-sS \yq-\-§Ä

F-¶n-h-sb-¡p-dn-¨p-Å [mc-W

A-`n-¶ I-kw-JyI-sf Ip-dn-¨p-Å [mc-W

Teaching – Learning NmÀ-«v H-cp a-«-{Xn-tIm-W-¯n-sâ Nn-{X-a-S-§n-bXv

Resources NmÀ-«v A-`n-¶-I-kw-Jy-IÄ F-gp-XnbXv

B-În-hn-än ImÀ-Uv k-a-N-Xp-c-¯n-sâ h-i-¯n-sâ \o-fw I-p-]n-Sn-¡p-¶-Xn-\pÅ tNm-Zy-a-S-§nbXv.

Classroom interaction Procedure Pupils Response

INTRODUCTION

A[ym]n-I Ip-«n-I-fp-am-bn kulr-Z kw-`m-j-W-¯n-Â

GÀ-s¸-Sp-¶p

\n-§Ä-¡v I-Y-IÄ C-ãam-tWm? AsX

\n-§Ä I-Ym-]p-kv-X-I-§Ä hm-bn-¡m-dp-tm? D-vvvv

G-sXm-s¡ I-Ym-]p-kv-X-I-§Ä \n-§Ä

hm-bn-¨n-«p-v? ]-©X-{´ I-YIÄ.

_m-ey-Im-e-kJn, ]m-¯p-½-

bp-sS B-Sv F-¶n§-s\ Ip-«n-

IÄ ]-d-bp-¶p.

A-²ym]n-I H-cp I-Y ]-dªp-sIm-v ¢m-Êv

B-cw-`n-¡p¶p

Presentation

H-cp cm-Py-¯v hÃ-t`-{µ³ F-¶ H-cp cm-Pm-hv D- A²ym]n-I ]-dp-¶

I-Y

m-bn-cp¶p. A-t²-l-¯n-sâ ]-Xv-\n-bp-sS t]-cmbn- Ip-«n-IÄ {i-²-tbm-sS

cp-¶p D-jkv. A-hÀ-¡v A-Xn-kp-µ-cnbm-b H-cp a-I-fpw. {i-hn-¡p¶p.

A-h-cp-sS Po-h-\m-bn-cp-¶ Ah-sf Po-h´n-I F¶pw

hn-fn¨p. ]T-\-¯nepw I-em-Imbn-I{]-hÀ-¯-\-§-fnepw

ap³-\n-c-bn Ah-sf A-b cm-Py¡mÀ-t]mepwA-kq-

b-tbm-sS t\m-¡n-¡p. H-cp Znh-kw H«pw ap-¶-dn-bn-

¸p-Iq-Sm-sX X-s¶ A-b cm-Pyam-b In-jv-In-Ô hÃ-

t`-{µ a-lm-cmPyw Io-gv-s¸-Sp¯n. hÃ-t`-{µ-a-lm-cm-Pm-

hn-t\bpw ]-Xv-\n-tbbpw Kp-l-bn sIm--S-¨p. i-{Xp-

¡-fn \n¶pw F-§s\tbm c-£-s]-« Po-h´n-I X-

sâ am-Xm-]n-Xm-¡-sf A-t\z-jn-¨n-d§n. h-gn-at²y Po-

h´n-I H-cp k-\ym-kn-sb Ip, X-sâ am-Xm-]n-Xm¡-

sf sImp-t]m-b h-gn A-hÀ A-t²-l-t¯m-Sv B-cm

ªp. _p-²n-a-Xnbm-b Ah-sf ]-co-£n-¡m³ At²-

lw Xo-cp-am-\n¨p.

Activity 1

k-\ym-kn X-sâ I-¿n-ep-Å H-cp Nn-{Xw

2 CM

3 CM

Cu Nn-{X-¯n-sâ Np-äf-hv F-{X-bmWv?

{]-hÀ¯-\w sN-¿p-¶-Xn-\m-bn A-²ym]n-I Ip-«nI-sf Ip-«n-IÄ {Kq-¸n NÀ-¨

sN-bv-Xv

{Kq-¸p-I-fm-¡p-¶p. {Kq-¸n NÀ-¨ sN-bv-Xv D¯-cw D-¯-c-§Ä I s-¯p¶p

-

I-s-¯m³ B-h-iy-s¸-Sp¶p. {Xn-tIm-W-¯n-sâ Np-äf-hv

= AB +BC+ AC

BC =

Np-äf-hv = 2+3+

= 5+

= 5+3.6

= 8.6 cm

Ip-«n-I-fp-sS I-s-¯Â ¢m-Ên NÀ-¨ sN-¿p¶p.

A-²ym-]n-I I-Y Xp-SÀ¶p.

Po-h´n-I k-\ym-kn-¡v D¯-cw \Â-In-b-t¸mÄ A-t²-

lw ]d-ªp \o 10 mile \S-¶p sNÃp-t¼mÄ \q-ep

sX-dp-¡p-¶p H-cp ap-¯-Èn-sb Im-Wpw. A-hÀ \n-s¶

k-lm-bn-¡pw. A§-s\ cm-P-Ip-am-cn \-S¶p. h-gn a

t²y A-hÄ-¡v ITn-\-am-b Zm-lw A-\p-`-h-s¸«p. A-

t¸m-gm-Wv A-hÄ H-cp X-Sm-Iw I-Xv. X-Sm-Iw a-dn-I-S-

¶p-th-Ww A-h-Ä¡v bm-{X Xp-S-cm³ A-hÄ ]-Xp-s¡

\S-¶v X-Sm-I-¯n-\-Sp-s¯¯n. A-hn-sS Ft´m F-gp-

Xn h-¨n-cn-¡p¶-Xv A-hÄ Ip.

√2 sâ hÀ-¤w h-cp-¶ IÃn am{Xw N-hn-«p-I.

A-sÃ-¦n \n-§Ä ap-Xe-¡v C-c-bm-tI-n h-cpw.

A-t¸m-gm-Wv cm-P-Ip-am-cn {i-²n¨-Xv X-Sm-I-¯n Ip-sd

IÃp-IÄ In-S-¡p¶p. A-h-bn Hmtcm kw-Jybpw

F-gp-Xn h-¨n-cn-¡p-¶p. Ip-«n-IÄ {Kq-¸n NÀ-¨

sN-bv-Xv

D-¯-c-§Ä I-s-¯p¶p

Activity 2

Ip-«n-IÄ {Kq-¸n NÀ-¨ sN-¿m³ B-h-iy-s¸-Sp-¶p

Ip-«n-bp-sS D-¯-c-§Ä ¢m-Ên NÀ-¨ sN-¿p¶p. ti-jw A²ym]n-I ]-dp-¶ I-Y

A-²ym]n-I I-Y Xp-S-cp¶p. cm-P-Ip-am-cn X-Sm-Ihpw IS- Ip-«n-IÄ {i-²-

tbm-sS

¶v ap-¯-Èn-bp-sS A-Sp-¯v F-¯p¶p. ap¯-Èn Kp-l-bn- {i-hn-¡p¶p.

te-¡p-Å h-gn cm-P-Ip-am-cn-¡v ]-dªp-sIm-Sp-¡p¶p. ]-

t£ Kp-l-bp-sS hm-Xn-en-\v ap³-]n 4 ]q-«p-I-fpv, A-

Xn-sâ A-Sp-¯m-bn X-s¶ Xm-t¡mepw H-cp tNm-Zyhpw Ip-«n-IÄ {Kq-¸nÂ

NÀ-¨ sN-bv-Xv

Dvv tNm-Zy-¯n-\v D¯-cw h-cp-¶ ]q-«p-Xp-d-¶m-te Kp-l D-¯-c-§Ä I-s-¯p¶p

Xp-d-¡p-I-bpÅq. cm-P-Ip-am-cn \-S-¶v Kp-l-bp-sS hm-XnÂ-

¡-se-¯n ap¯-Èn ]-dª t]m-se cm-P-Ip-am-cn H-cp

tNmZyw I-p.x

1 2 8 10

3 9

4 5 4 7 16

hn-IÀ-W-¯n-sâ \o-fw 1 m B-b k-a-N-Xp-c-¯n-sâ

H-cp h-i-¯n-sâ \ofw cm h-sc Ir-Xy-am-bn

I-W-¡m¡pI x

hiw = x

cm-P-Ip-am-cn-sb k-lm-bn-¡m³ A-²ym]n-I Ip-«n-I-tfm-Sv

B-h-iy-s¸-Sp¶p.

Ip-«n-I-fp-sS D-¯-c-§Ä ¢m-Ên NÀ-¨ sN-¿-s¸-Sp¶p.\

ti-jw A-²ym]n-I Xp-S-cp-¶p. cm-P-Ip-am-cn ]q-«p Xp-d-¶

cm-Pm-hn-t\bpw cm-Ún-tbbpw c-£n¨p. X³-sc a-I-sf

k-lm-bn-¨ FÃm-hÀ¡pw A-t²-lw ]mcn-tXm-jn-I-§Ä

\Â-In F-¶p ]-dªp. A-²ym]n-I ¢m-Ên-se FÃm

Ip-«n-IÄ¡pw a-[p-cw \Â-In ¢m-Êv A-h-km-\n-¸n-¡p¶p.

Review

hi§-fp-sS \o-fw 5 CM B-b k-a-N-Xp-c-¯n-sâ hn-IÀ-®-¯n-sâ \o-fw skân-ao-äÀ h-sc Ir-Xy-am-bn I-W-¡m¡pI?

Follow Up Activity

A,B,C aq-¶p _n-Ôp-¡-fm-Wv C-h H-cp t\À-h-c-bnemtWm?