The document is a lesson plan for teaching students about circles through three non-collinear points. The teacher introduces the concepts of circles, chords, and circumcircles. Students then practice constructing circles through three given points and drawing the circumcircle of a triangle. This allows students to understand the relationship between a triangle's sides and the radius of its circumcircle. The lesson concludes by discussing real-world applications of using three or more points to determine positions, track objects, and guide robot systems.

1. C.S.I.COLLEGE OF EDUCATION
L.M.S. COMPOUND, PARASSALA
Date :
CATIC
RECORD OF
INNOVATIVELESSON PLAN
Place: Parassala
Member of the faculty
SEMESTER IV
NAME OF STUDENT: NICIRS
2021 - 2023
OPTIONAL SUBJECT : MATHEMATICS
CANDIDATE CODE
CERTIFIED THAT THIS IS A BONAFIDE RECORD
18021351006
Principal
Place:Parassala
Date :

2. LESSON
PLAN
INNOVATIVE
Standord:
1X
teachr:
Nicg-
R:S.
Divisi
on
:A
school:
Samuel
LMs
HS,
Parassala
Name
f
the
Nome
of
the
:
48
:
Mathtmatcs
Duration
:45
minuks
Cicles
:
[Init
"
04-
08-2023
Date
:
Cireus
Fowugb
Tbe
Poirrts
Tepik
ot
a
tincu
paninq
of
OBJECTIVE:
8udients
will
undarstand
the
toneph
nd
aply
thtir
knpulkde|
rnt
non-t
linar
point
otbvity
hands
-on
a

3. MATERIALS
NEFDED!
"
Ruler
Closteo
equiprnrts
INTRODUCTION
(5
minutes)
?
Prerious
Kn
ewledqe
Chckin
Answers
Quesbons
Lint
seqment
oith
both
endpomh
on
fhe
tiYtle.
"
Defime
chorl
ot
a
tircle
equiclistamt
fom
al
Fixed
point
hat
is
point
on
the
ente.
.What
is
he
cent
of
a
cick
Diameio
ik
the
longest
pesiblk
chovd
that
tncle.
is
Con
be
cda
un
bih
ts
Hhe
tonast
thord
that
be
drawn
a
tixth

4. Line
r
ine
scqnent
that
cuh
ontHr
>
peu
pendi
talay
biack
.hat
a
hale
oh
lme
agnen
with
it.
Concept
Intoducho
mon-tolinear.
on
the
boarel
and
ogks
t
shudont
Teacher
manks
throe,
points
on
tnc
hs
con
b
draon
Knouan
man
how
theugn
SBudioh
spetulate
a
poinh
non-
tollear
thee
lother
ta
kes
two
pomt
from
the
thre
nd
o
hem
though
Tea
ches
ack
th
studenh
to
imagine
nb
too
equal
nunber
ot
tiYcles
hat
ton
be
drawn
Iie
segeot.
Tea
chey
achs
the

5. fu
tan
tind
the
tenter
of
a
cmcle.
un
asks
shudent
tongider
how
the
chord.
usi
ing
te
civce
pastes
Tepy
as
the
perpendiu
lay
thor
of
a
circl
Student
blsecoy
fo
a
a
hink
aacher
promph
hern
b
Ie
hree
nom-tollineoT
poimts.
DISCUSStoN
ON:
CRCLES
THROU
GH
THREE
POINTS
on
how
h
dn
Tencduy
acks
He
studnts
to
resnt
uin
hrough
ru
non-tollimta
pormt.
a
chord
such
hat
tu
fuo
point
rebrsenl
he
endpoint
of
a
chd
b
w
(to
minuts).

6. Studnh
prsent
thiy
icleas
on
chawinq
ne
non-
tollinan
point.
the
tonstvuchon
of
a
tirutntirte.
er
pendialar
bisecb%
of
Ihe
ine
leacher
eplains
studen
h
tiotrsechön
oi
Hae
hndling
A
Hhe
tmee
point
te
tonvnig

7. Now
be
fcachr
disu;
se;
fu
po
peshts
o
tintumirc.
Cireumuirele
of
triangl
is
calke
posing
inugh
al
the
ve
his
of
a
tiongb
+
hexe
is
a
uniqu
tirce
problem
b
solve.
EXAMPLE
PROBLEMS
(15
minut)
Teacher
qives
a
B6,
Draw
its
titumirle
)
Daauo
he
triamgle
oitb
ngths
f
too
sidy
4
Gmd
5
cenhatn
behwcen
theng
angl
Dnd
the

8. onatye
vnblp
qush
on
and:
problen
he
ciruntireu.
Sudents
Tead
te|it.
Thern
tonstructs
tu
tonstuchon
of
the
Thn
He
teachey
distusgs
Yu
step
,highlighing
the
pevpenditu
lav
bischors
o
the
tine
segnent
veghx.
as
tlu
riterschiro
point
ofpespendi
h
idencabon
ot
tunte
bisee
hort,
the
iden
bfirahin
tuloy
ot
adiu
as
dsta
nu
fom
untre
b
he

9. ITY
(10
minutes
)
ACTIVITY
Lag
Crenting
a
tmd
mstuct
,
thre
qyous
horpora
trs
.
"Teathex
divicles
the
clast
mho
paing
or
tnnall
hat
b
tome
up
toith
a
design
or
logo
each
Hue
studer%
uCe
uim
tmd
cornpares,
tonstuct
Prougb
tuin
Kra
chosen
poiot.
Enouraqe
mahn
hir
Lt
non-tolinav
points
tu
tirumtrcl
ave
tomplt,
let
tu
otudent
prstnt
tuir
dutq
os
Consruct
Hae
tivzuoik
tmd
Hu
signifanu
pag
pant
Drnd
entisht
exptsoon"
irlegraihow
eaqlainig
d
of
i
ten
chosen
porHts

10. tIrtUmtrle
uring
Tea
ted
Note
Hau
teather
shovt
a
simpl
logo
non-tollineor
point
Frze
CONCLUSIO
N
(5
mintuts)
Teacher
oncludes
the
circ
Fae
stuclenh
h
reflectan
eng
g
md
th
tomcupt
ot
tirtum
tircl.
The
4ppliea
hion
poink
Ihin
techr
shas
tirce
paIng
hough
fne
nDn-to
lina

11. Hoo
vq
panting
tizcle
hmviga
hon
systens
frre
non-
tollinzár
points,
by
tcing
ciqnals
om
at
least
Ie
Satellites
.
dirtvipler
Ar
hat
chnet.
tla
cbject
,
fuu
enigue
D
h
image
cegnihon
rnd
oijet
tracking,
by
ldenhying
ky
poins
DOn-to
li'neor
point
of as
a
tused
can
be
drawn
ancl
e
Dn
fhe
concpk
of
Ha
tittumcind
D
Robohe
orms
Ond
systums
oten
posihon
moveent
md
h
defemine
toimt
NMENT
HOME
ASSI
of
it
5
enbmmetys
Caltulat
he
lingth
t:
1u
equal
idu
o
on
isosus
riangu
are
6
cenBmefs
long
and
fhe
tivem
tiv
ce
is
5
vadius
cf
its
Khhd
sid.

12. 9.
Fnd
hu
rela
honbeoen
te
bngth
of
a
side
omdl
tar
tivurm
tadíus
ot
aquilateral
tianqe.
g.
(reate