8/18/2019 Lesson Exemplar Pythagorean Theorem
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LESSON EXEMPLAR IN GEOMETRY
Topic: Pythagorean Theorem Time Frame: 1
hor!ate: Fe"rary #$ %&1'Re(erence:
ng))*ma*+*G*%*,*pythagoreantheorem*)earch*com
I* Otcome)
-ontent Stan.ar. The /earner) can:
1* )ho0 the re/ation)hip o( the )i.e) o( the triang/e to
.ee/opPythagorean Theorem 2
%* )tate an. e3p/ain Pythagorean Theorem2#* 4n. mi))ing )i.e) o(
right triang/e) )ing Pythagorean
Theorem*Per(ormance Stan.ar.
The )t.ent) can )o/e rea/ /i(e pro"/em) )ing Pythagorean
Theorem*E))entia/ 5e)tion)
1* 6hat are the app/ication) o( Pythagorean Theorem7
%* 6hat i) the re/ation)hip among the /ength) o( the )i.e) o( a
righttriang/e7
#* 8o0 can Pythagorean Theorem "e )e. to )o/e pro"/em in
/i(e7II* A))e))ment
Ei.ence o( 9n.er)tan.ingE3p/anation
I//)trate the re/ation)hip) o( the )i.e) o( right
triang/e)*Interpretation
The /earner) can i.enti(y the area o( the gien 4gre)
an..emon)trate the Pythagorean Theorem*App/ication
The /earner) can )o/e rea/ /i(e pro"/em) )ing
Pythagorean Theorem*
III* Learning P/anA* E3p/ore
Grop actiity The c/a)) 0i// "e .ii.e. into ' grop)* Each
grop 0i// hae +
mem"er)* The grop 0i// 0or together to comp/ete the actiity*
!irection:!ra0 a triang/e 0ith gien )i.e) ;a$ "$ c< in a "on.
paper an. )pp/y
the ta"/e a(ter mea)ring it) ang/e* 9)e r/er an. protractor to
mea)re it)/ength an. ang/e) re)pectie/y*Si.e) o( triang/e ;a$ "$
c< in
centimeter)S=are o( it) )i.e !oe) it (orm a
right triang/e7a " c a% "% c% YES NO% % >+# , ', ' ?'
1% 1&@ @ ?@ + 1&
8/18/2019 Lesson Exemplar Pythagorean Theorem
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+ +># 1@
A(ter comp/eting the ta"/e$ the )t.ent) 0i// "e a)e. "y the
(o//o0ing=e)tion):1* !o the gien )i.e) (orm a triang/e7%* 6hat
re/ation)hip .i. yo o")ere. on the )i.e) o( a right triang/e
a(ter)=aring it7
a* Fo//o0 p =e)tion* 6hat .oe) c% B a% C
"% mean)7#* !o yo thin Pythagorean Theorem a/)o 0or) on a
triang/e 0hich i) notright7 6hy or 6hy not7,* Re(er to the right
triang/e) on the ta"/e* !o they proe that Pythagorean Theorem
i) tre7 6hy or 6hy not7'* -an 0e )e thi) metho. to proe that the
theorem i) tre7 6hy or 6hynot7
C
D* Firm 9p
The )t.ent) 0i// "e a)e. "y the (o//o0ing =e)tion):
1* 8o0 the .iagram) i//)trate the Pythagorean Theorem7%* 6hat i)
the area o( the t0o "ig )=are)7 !oe) thi) he/p to proe the
theorem7 A B ; a C "
