DepedK12.blogspot.com
CALAYOG CI!Y NA!IONAL "IG" School SC"OOL # SENIOR "IG" SC"OOL DEPAR!$EN! PRECALCULUS
DAILY LESSON LOG
I. OBJECTIVES A. Co*te*t St&*d&%ds . Pe%8o%m&*ce St&*d&%ds C. Le&%*+*g Compete*c+es3 Ob:ect+'es ;5%+te the LC Code 8o% e&ch<
!e&che% ENGR. ENGR. CESAR CESAR $. DEL ROSAR ROSARIO IO )R. )R. SEP!E$ER 2,(-/ 21,/ -0-(0- !e&ch+*g D&tes &*d P$ !+me $o*d&3!4esd&35ed*esd&3!h4%sd &
$ONDAY
!UESDAY
64&%t 4&%te% e% 7IRS 7IRS! !
!"URSDAY
!he le&%*e%s sh&ll be &ble to 9ee*l obse%'e &*d +*'est+g&te p&tte%*s/ &*d 8o%m4l&te &pp%op%+&te m&them&t+c&l st&teme*ts &*d At the e*d o8 the lesso*/ the le&%*e%s =+ll sol'e p%oblems 4s+*g m&them&t+c&l +*d4ct+o* &*d the +*om+&l !heo%em.
At the e*d o8 the lesso*/ the st4de*t +s &ble to0 ;1< +ll4st%&te the 4*+t c+%cle &*d the %el&t+o*sh+p bet=ee* the l+*e&% &*d &*g4l&% me&s4%es o8 &%cs +* & 4*+t c+%cle/ &*d ;2< co*'e%t deg%ee me&s4%e to %&d+&* me&s4%e/ &*d '+ce 'e%s&. S!E$>PC11!(II&(1 &*d II&(2
Se%+es &*d $&them&t+c&l I*d4ct+o*
A*gles +* & U*+t C+%cle
III. LEARNING RESOURCES A. Re8e%e*ces 1. Teacher’s Guide pages
Le&%*+*g PRECALCULUS # 21S! CEN!URY $ A%e&
!he le&%*e%s demo*st%&te &* 4*de%st&*d+*g o8 9e co*cepts o8 se%+es &*d m&them&t+c&l +*d4ct+o* &*d the +*om+&l !heo%em.
S!E$>PC11S$I(I:(2
II. CONTENT
5EDNESDAY
G%&de G%&de le'el le'el GRADE GRADE 11 ( S!E$ S!E$ A
Precalculus, Teacher’s Guide, paes !!" # !$! !$!
Precalculus, Teacher’s Guide, paes !$% & !$
DepedK12.blogspot.com 2. Learner’s Materials pages 3. Textbook pages 4. Additional Materials fro Learning !esource "L!# portal . Othe% Le&%*+*g Reso4%ces
Precalculus, Lear'er’s (a)erial, paes !!*#!$!
Precalculus, Lear'er’s (a)erial, paes !$% # !$
+++. a'al-ea)h.c/ +++.ale0ra.c/
+++. a'al-ea)h.c/ +++.ale0ra.c/
IV. PROCE1URES A. Re'+e=+*g p%e'+o4s lesso* o% p%ese*t+*g the *e= lesso* . Est&bl+sh+*g & p4%pose 8o% the lesso*
!e$ie% the concepts discussed last eeting &'ind the nth ter of "x()#*n’
C. P%ese*t+*g e?&mples3 +*st&*ces
&'ind the linear and angular easure of arcs+ &,on$ert degree easure to radian- and $ice $ersa+ Co*'e%t deg/ m+*/ sec to deg0
Co*'e%t deg to deg/ m+*/ sec.0
D. D+sc4ss+*g *e= co*cepts &*d p%&ct+c+*g
Co*cept0
Co*cept0
DepedK12.blogspot.com *e= s9+lls @1
The ascal’s Triangle does not allo% us to %rite the general expansion of the nth po%er of a binoial. /e need a %a) of expressing the coe0cients in algebraic s)bols. /e can obtain the forula for expansion using cobinations. 'or exaple- %e can get the forula for "x()#* b) using the forula for the r cobination of n obects. 1* ( x*4 ) ( 1x*3 )*2 ( 1x*2 )*3 ( x)*4 ( 1 )*
Angles in trigonoetr) di5er fro angles in 6uclidean geoetr) in the sense of otion. An angle in geoetr) is dened as a union of ra)s "that is- static# and has easure bet%een and 17. An angle in trigonoetr) is a rotation of a ra)and- therefore- has no liit. 8t has positi$e and negati$e directions and easures.
(easuree')s 2c/'3ersi/'45 A central angle of a circle easures one degree%ritten 19- if it intercepts 1:3; of the circuference of the circle. radian 1 radian = ?.39
E. D+sc4ss+*g *e= co*cepts &*d p%&ct+c+*g
Co*cept0 Using the formula of
Co*cept0
DepedK12.blogspot.com *e= s9+lls @2
combination C(n, r) where n=5 because we have 5,4,3,2,1 ,"-# = 1 ,"-2# = 1 ,"-4# = ,"-1# =
n angle is said to be !ositive if the ra" (terminal side) rotates in a countercloc#wise direction from the initial side, and the angle is negative if it rotates in a cloc#wise direction$ a)
,"-3# = 1 ,"-# = 1
7o%m4l&0 C ;*/ %< *B 3 % B ;*(%
b)
c)
7. De'elop+*g m&ste% ;Le&ds to 7o%m&t+'e Assessme*t 2<
P%oblem0 'ind the fourth ter of "2x@)#*;. 2 "2x#*3 "@)#*3 = = 2 "7x*3# "@)*3# = @1; x*3 )*3 "A*s=e%<
P%oblem0
8n the follo%ing Bgureidentif) the terinal side of an angle in standard position %ith gi$en easure.
DepedK12.blogspot.com
G. 7+*d+*g p%&ct+c&l &ppl+c&t+o*s o8 co*cepts &*d s9+lls +* d&+l l+'+*g ". $&9+*g ge*e%&l+&t+o*s &*d &bst%&ct+o*s &bo4t the lesso* I. E'&l4&t+*g le&%*+*g ). Add+t+o*&l &ct+'+t+es 8o% &ppl+c&t+o*
V. RE(AR6S VI. RE7LECTION A. No. o8 le&%*e%s =ho e&%*ed +* the e'&l4&t+o*. . No. o8 le&%*e%s =ho %eH4+%e &dd+t+o*&l &ct+'+t+es 8o% %emed+&t+o* =ho sco%ed belo= C. D+d the %emed+&l lesso*s =o%9 No. o8 le&%*e%s =ho h&'e c&4ght 4p =+th the lesso*. D. No. o8 le&%*e%s =ho co*t+*4e to %eH4+%e %emed+&t+o*.
%im!lif" the discussed conce!ts
Se&t=o%9 &t pp. 11 to 12
%im!lif" the discussed conce!ts
Se&t=o%9 &t pp. 12 to 12
INDUC!ION
INDUC!ION3$A!" 6UIF
INDUC!IO
DepedK12.blogspot.com E. 5h+ch o8 m te&ch+*g st%&teg+es =o%9ed =ell 5h d+d these =o%9 7. 5h&t d+Jc4lt+es d+d I e*co4*te% =h+ch m p%+*c+p&l o% s4pe%'+so% c&* help me sol'e G. 5h&t +**o'&t+o* o% loc&l+ed m&te%+&ls d+d I 4se3d+sco'e% =h+ch I =+sh to sh&%e =+th othe% te&che%s
repared b)C
Ces&% $. del Ros&%+o/ CE %&% '1
,hecked b)C
C&l+c9 D. A%%+et&/ PhD %chool rinci!al *