TABLE TABLE OF SPECIFICATION SPECIFICATION MATHEMATICS 7 (Quarter 3)
SY 2016 – 2017 Learning Competencies
Cod e
No. o !a" s
represents a point, line 1 an plane !sin" #on#rete an pi#torial $oels%
&7'E (IIIa(1
1
1
1
1
1
1
1
2
2
2
1
&7' E( III)(1
5
2
&7' E( III#(1
5
2
+
&7' E( III( e(1
6
7
1
+
&7' E( IIIe(2
2
2
2
&7' E(III*( 1
5
&7' E( III"(1
3
*+
2 +
ill!strates s!)sets o* a line% #lassies t-e i.erent /ins o* an"les%
eri erie ess rela relati tion onss-ips ips o* o* "eo$etri# "!res !sin" $eas!re$ents an ) in!#tie reasonin"3 s!pple$entar an"les, #o$pli$entar an"les, #on"r!ent an"les, erti#al an"les, a4a#ent an"les, linear pairs, perpeni#!lar lines an parallel lines% 5 eries relations-ips a$on" an"les *or$e ) parallel lines #!t ) a transersal !sin" $eas!re$ent an ) in!#tie reasonin"% 6 !ses !ses a #o$ #o$pa pass ss an an strai"-te"e to )ise#t line se"$ents an an"les an #onstr!#t perpeni#!lars an parallels% 7 ill!strates pol"ons8 9a: #one;it3 9): an"les3 an 9#: sies% eries in!#tiel t-e relations-ip o* e;terior an interior an"les o* a #one; pol"on% ill ill!s !str trat ates es a #ir#l #ir#le e an an t-e ter$s relate to it8 rai!s, ia$eter #-or, #enter, ar#, #-or, #entral an"le, an ins#ri)e an"le% 1 #ons #onstr tr!# !#ts ts tria trian" n"le les, s, s
&7' E( IIIa(2 &7' E( IIIa(+
&7' E( III-(i( 1 &7' E(III4( 1
No. o Item s
Cogniti#e !omains &no'%e dge
$rocess
nderstan ding
1
2
1
,+
Test $%aceme nt
+ , 17
1
,5, 7, , 2
, 10, 1, 1, 20
+
11, 21, 22, 2+, +1, +2, ++
1 2 , 1+
2
+
2, 25, +, +5, +6
1
2
6, 26, +7, +
2
2
27, 2, +, 0
1
1, 15, 16, +0
+
$erorma nce
,-
,-
=epart$ent o* E!#ation >e"ion ? =iision o* Lanao el Norte MATHEMATICS 7 THI! QATEL/ E0AMINATI1NS SY 2016 – 2017
Na$e8@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ 'rae Se#tion8@@@@@@@@@@ S#ore8@@@@@@@@ !irections2 >ea ea#- state$ent #are*!ll an rite t-e letter o* o!r #-oi#e in o!r anser
s-eet% 1% A "eo$etri# "!res represent a ot% A% Line C% Se"$ent B% Plane =% Point 2% -i#- o* t-e *olloin" is not a raD & L A A% >a & B% ra L
C% ra &L =% ra &A
+% An an"le t-at $eas!re )eteen 0 an 10% A% A#!te an"le C% O)t!se an"le B% >i"-t an"le =% Strai"-t an"le % An an"le -i#- -ae a #o$$on sies an a #o$$on erte; )!t no interior points #o$$on% A% S!pple$entar an"le C% A4a#ent an"le B% Co$ple$entar an"le =% Gerti#al 5% To non(a4a#ent an"les *or$e ) to interse#tin" lines% A% S!pple$entar C% A4a#ent B% Co$ple$entar =% Gerti#al 6% It is a #-or t-at passes t-ro!"- t-e #enter% A% =ia$eter C% Tan"ent line B% >ai!s =% Se#ant 7% -at is t-e $eas!re o* t-e #o$ple$ent o* 62D A% + C% 11 B% 2 =% 12 % I* an an"le $eas!res 5, -at is t-e $eas!re o* its s!pple$entD A% +6 C% 126 B% 5 =% +06 For items 9 -10, consider the given fgure
l 6 7
5
2
+
1
$ A
C
% - o an"les 1 an + -ae e
B% 50 e"rees
=% 1+0 e"rees
11% -i#- o* t-e *olloin" $eas!res )eteen 0 an 10D A% C%
B%
=%
12% =eter$ine t-e n!$)er o* ia"onals o* a oe#a"onD A% 50 C% 5 B% 52 =% 56 1+%-i#- o* t-e *olloin" ill!strates a pol"onD A% C% B%
=%
1% Ho $an sies are t-ere i* t-e s!$ o* $eas!res an"le is 100D A% sies C% 12 sies B% 10 sies =% 1 sies 15% In a penta"on -o $an trian"les #an )e *or$D A% + C% 5 B% =% 6 16%Ho $an ia"onals #an )e ran o* 1 siesD A% 77 C% 5 B% 0 =% 0 17% -i#- o* t-e *olloin" $eas!re s-os an o)t!se an"leD A% 57 C% 1+5 B% 5 =% 215 For ite$s n!$)er 1(20 re*er t-e "!re )elo%
1% -i#- o* t-e *olloin" pairs represents alternate e;terior an"lesD A% 1 an 2 C% an 5 B% 2 an + =% 1 an 6 1% -i#- o* t-e *olloin" pairs represents alternate interior an"lesD A% an 5 C% 2 an B% 6 an 7 =% 1 an 20% -at ter$ )est es#ri)es an"les 7 an 6D A% A#!te C% S#alene B% O)t!se =% Con"r!ent >e*er *ro$ t-e "!re )elo *or ite$s 21, 22, an 2+% J P
> S
'ien ra P> )ise#ts an"le JPS, $ >PJ K ; +, an $ >PS K 5; – 7% 21% Fin t-e al!e o* ;% A% 5 B% 10
C% 15 =% 20
22% -at is t-e $eas!re o* an"le SP>D A% 10 C% 0 B% +7 =% + 2+% Fin an"le JPS% A% 10 B% +
C% 6 =% 0 T
M
1 2 Y
P 5
+ 6>
7
2% -i#- o* t-e an"les is an e;terior an"le o* trian"leD A% 1 C% + B% 2 =% 25% T-e s!$ o* t-e $eas!re o* an"le 1 an an"le 2 is 100, n t-e $eas!re o* an"le +% A% 65 C% 0 B% 7 =% 5 26% I* t-e e"ree $eas!re o* a $inor ar# o* t-e #ir#le is 0, -at is t-e e"ree $eas!re o* its $a4or ar#D A% 10 C% +00 B% 220 =% +20 Msin" t-e trian"le ran )elo, anser ite$ 27 an 2% C
B
A
27% I* AK+0, n C% A% 60 B% 65
C% 70 =% 75 A 5 67
=
C
2% Fin t-e $eas!re o* an"le AC=% A% 125 C% 15 B% 1+5 =% 155
2% -at is t-e al!e o* ;, s-on )eloD
5;(10
B
60 A% 60 B% 26
C% 1 =% 10
+0% >e*er t-e "!re )elo, t-e $eas!re o* one a#!te an"le o* ri"-t trian"le PJ> is ++% -at is t-e $eas!re o* an"le P% P >
J
A% 2 B% 57
C% 65 =% 70
For items 31-36. Illustrate the ollowing.
+1% Se"$ent ?Y% +2% An"le ?Y% ++% A line perpeni#!lar to line L. +% A #one;
+7% In #ir#le B, $C K+6% Fin t-e $eas!re o* trian"le ABC% A =
B C
+% Fin t-e $eas!re o* an ar# A=C i* t-e $eas!re o* an ar# AC is 62%
+% Ill!strate to isos#eles trian"les it- a #o$$on sie%
0% Constr!#t an e
Mat4ematics 7 5 T4ird Quarter%" E6amination e Anser8
1% = 2% C +% C % C 5% = 6% A 7% B % C % C 10% = 11% C 12% C 1+% C 1% C 15% A 16% A 17% C 1% = 1% A 20% = 21% B 22% = 2+% C 2% = 25% C 26% = 27% A 2% A 2% C +0% B +1% ; ; +2%
Q
++% L +% +5% +6%
+7% 10 +% 2 +%
0%
;
