ࡱ > { z R bjbj 4 x x + + + + + ? ? ? ? [ ? r 9 + + + Q + + )* ? v g 0 s v F s s + F s : Activity: Solving equations with variables on both sides
Standard: 5.0 Students will be able to solve multistep problems, including word problems, involving linear equations and inequalities in one variable and provide justification for each step.Objective: Students will be able to solve equations with variables on both sides.Essential question: Solve 5x + 3 = 8 7xKey vocabulary: Addition, subtraction, multiplication, and division properties of equations, equation, solve, simplify, solutionMaterials: Index cards, one for each student with a first degree algebraic expression with a minimum of two terms written on each index card, Graphic organizer, at end of this activity.
Activity: Provide each student with one index card. At your instruction, students are to get up from their seat and find a partner. Once they have found their partner, the two sit down to complete the graphic organizer. On the next available problem number, enter your partners name, then enter the equation that can be made using your two index cards. Solve the equation together, each student must have the worked out solution on his/her paper. Get up and find another partner and repeat the process. Continue until time is called.
ATLERNATIVE: If you dont want to let students move from their seats, try this adaptation. Put several of the expressions in an envelope and allow students in a pair or group to choose two expressions and create their equation from that. It still allows for the randomness of the problems, but without the confusion of students moving about the room. Differentiation can occur by selecting different expressions to be included in the envelopes.
Differentiation strategies: Selectively assign algebraic expressions to your students. For example, a special ed student would get an index card with 2x + 5, while an advanced student might receive -3( 6 4x). By doing this a special ed, strategic, or intensive student would have one side of the equation with a simplified expression using easier numbers and signs. To monitor the distribution of the expressions, use colored index cards, helps to quickly assign expressions to students.
Extension: Can repeat the process with inequalities. See attached worksheet for adaptation for inequalities.
Activity: Equations with variables on both sides Name ________________________
Date _______________ Period ___
My expression ________________________________
Partner nameEquation/workSolution1.2.3.4.5.6.7.8.9.10.
Summary:
Activity: Inequalities with variables on both sides Name ________________________
Date _______________ Period ___
My expression ________________________________
Partner nameInequality/workSolution1. d" 2 . > 3 . < 4 . e" 5 . d" 6 . > 7 . < 8 . e" 9 . d" 1 0 . >
S u m m a r y :
D i r e c t i o n s : C o p y t h i s s h e e t o n o n e c o l o r o f p a p e r a n d t h e s e c o n d s h e e t o n a n o t h e r . M a t c h i n g t w o d i f f e r e n 9 : ;
" # R V b ŽŮśŽuduUuUuU h= h CJ( OJ QJ aJ( h= h CJ OJ QJ ^J aJ h= h OJ QJ h CJ OJ QJ aJ h= h CJ OJ QJ aJ hW OJ QJ h= h{*x OJ QJ h= h{*x CJ OJ QJ aJ h OJ QJ h{*x OJ QJ h OJ QJ hEr OJ QJ hl OJ QJ h= h
OJ QJ h e OJ QJ h
OJ QJ ! : ; P h kd $$If l * +
t 0 6 4 4
l a yt= $If P Q | } ) h kd $$If l * +
t 0 6 4 4
l a yt= $If h kd} $$If l * +
t 0 6 4 4
l a yt=
) ' h kd $$If l * +
t 0 6 4 4
l a yt= $If h kdw $$If l * +
t 0 6 4 4
l a yt=
Q { $$If a$gd= $a$gd{*x \ S S S S $If gd{*x kdq $$If l 4 \ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd3 $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd| $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd? $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kd $$If l p\ 2 $*
t 0 6 4 4
l a yt=
\ S S S S $If gd{*x kd $$If l p\ 2 $*
t 0 6 4 4
l a yt= \ S S S S $If gd{*x kdK $$If l p\ 2 $*
t 0 6 4 4
l a yt= # x \ W U P P H H $a$gd gd gd{*x kd
$$If l p\ 2 $*
t 0 6 4 4
l a yt= P G G G $If gd kd
$$If l 4 \ 1 $*
t 0 6 4 4
l a yt= $$If a$gd= V X S kd $$If l p\ 1 $*
t 0 6 4 4
l a yt= $If gd X Z ` b \ S S S S $If gd kdV $$If l p\ 1 $*
t 0 6 4 4
l a yt= \ S S S S $If gd kd
$$If l p\ 1 $*
t 0 6 4 4
l a yt= $ & \ S S S S $If gd kd
$$If l p\ 1 $*
t 0 6 4 4
l a yt= " J L & ( * , P qP Q Q Q _Q kQ mQ vQ wQ Q Q Q Q Q Q Q ºxiZiZiZiZiZiZ h= hD6 CJ4 OJ QJ aJ4 h= hb CJ4 OJ QJ aJ4 h hb CJ4 OJ QJ aJ4 hb CJ4 OJ QJ aJ4 h= h CJ4 OJ QJ aJ4 Uh= h OJ QJ h
h OJ QJ h OJ QJ h
h OJ QJ h OJ QJ h= h CJ( OJ QJ aJ( h= h CJ OJ QJ ^J aJ h= h OJ QJ #& ( . 0 \ S S S S $If gd kd $$If l p\ 1 $*
t 0 6 4 4
l a yt= \ S S S S $If gd kdb $$If l p\ 1 $*
t 0 6 4 4
l a yt= N P \ S S S S $If gd kd% $$If l p\ 1 $*
t 0 6 4 4
l a yt= P R X Z \ S S S S $If gd kd $$If l p\ 1 $*
t 0 6 4 4
l a yt= \ S S S S $If gd kd $$If l p\ 1 $*
t 0 6 4 4
l a yt= ( , pP \ W W U O $If gd kdn $$If l p\ 1 $*
t 0 6 4 4
l a yt= t colors will result in an equation that can be solved. Also the first page has simpler expressions to be use.2x + 72x 32x + 152x 108 2x13 2x3x 13x 93x + 58 3x17 3x-3x 9-3x 24x 79 4x-1 4x-5 2x21 2x
5x 118x + 38 7x12 7x6x + 56x 158x (3x + 4)7x (2x 1)3x + (9 8x)6x (x + 3)3(5 3x)2(3x 5)-3(2x 4)-5(7 x)12x 139x 2(x 4)2x 3(4x + 1)12x 3(2x 4)
Easier ones
5x 118x + 38 7x12 7x6x + 56x 158x 3x + 47x 2x 13x + 9 8x6x x + 33(5 3x)2(3x 5)-3x 4 -3x-35 5x12x 139x 2x 42x 12x - 112x 6x + 4
pP qP xP P $$If a$gd= h kd1 $$If l * +
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd= $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd[ $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kdy $$If l 0 *
t 0 6 4 4
l a yt= P P P P v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= P P P Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q Q Q t t $$If a$gd= } kd& $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q #Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= #Q $Q +Q 3Q v v $$If a$gd= } kdD $$If l 0 *
t 0 6 4 4
l a yt= 3Q 4Q BQ PQ v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= PQ QQ _Q lQ v v $$If a$gd= } kdb $$If l 0 *
t 0 6 4 4
l a yt= lQ mQ wQ Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q Q Q Q R R R %R 'R 2R 3R 8R TR XR [R _R `R cR fR gR jR kR sR yR R R R R R R Ǹָָָָָָָָָָָָ h h CJ4 OJ QJ aJ4 h= h CJ4 OJ QJ aJ4 h h CJ4 OJ QJ aJ4 h CJ4 OJ QJ aJ4 h= hD6 CJ4 OJ QJ aJ4 h= hb CJ4 OJ QJ aJ4 Q Q Q Q v v $$If a$gd= } kd $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q Q Q t t $$If a$gdnDO } kd- $$If l 0 *
t 0 6 4 4
l a yt= Q Q Q Q v v $$If a$gdnDO } kd $$If l 0 *
t 0 6 4 4
l a ytnDO Q Q R
R v v $$If a$gdnDO } kdK $$If l 0 *
t 0 6 4 4
l a ytnDO
R R R &R v v $$If a$gdnDO } kd $$If l 0 *
t 0 6 4 4
l a ytnDO &R 'R 3R >R v v $$If a$gdnDO } kdi $$If l 0 *
t 0 6 4 4
l a ytnDO >R ?R IR SR v v $$If a$gdnDO } kd $$If l 0 *
t 0 6 4 4
l a ytnDO SR TR `R iR v v $$If a$gdnDO } kd $$If l 0 *
t 0 6 4 4
l a ytnDO iR jR sR R v v $$If a$gdnDO } kd! $$If l 0 *
t 0 6 4 4
l a ytnDO R R R R v v $$If a$gdnDO } kd! $$If l 0 *
t 0 6 4 4
l a ytnDO R R R } kd4" $$If l 0 *
t 0 6 4 4
l a ytnDO 2 1h:p
/ =!"#$% { $$If !v h5 +#v +:V l
t 0 65 +yt= { $$If !v h5 +#v +:V l
t 0 65 +yt= { $$If !v h5 +#v +:V l
t 0 65 +yt= { $$If !v h5 +#v +:V l
t 0 65 +yt= { $$If !v h5 +#v +:V l
t 0 65 +yt= $$If !v h5 5 55#v #v #v#v:V l 4
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l 4
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= $$If !v h5 5 55#v #v #v#v:V l p
t 0 65 5 55yt= { $$If !v h5 +#v +:V l
t 0 65 +yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 yt= $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO $$If !v h5 5#v :V l
t 0 6, 5 ytnDO ^ 2 0 @ P ` p 2 ( 0 @ P ` p 0 @ P ` p 0 @ P ` p 0 @ P ` p 0 @ P ` p 0 @ P ` p 8 X V ~ _HmH nH sH tH @ ` @ N o r m a l CJ _HaJ mH sH tH D A D D e f a u l t P a r a g r a p h F o n t R i@ R T a b l e N o r m a l 4
l 4 a ( k ( N o L i s t j j
T a b l e G r i d 7 :V 0 PK ! [Content_Types].xmlj0Eжr(Iw},-j4 wP-t#bΙ{UTU^hd}㨫)*1P' ^W0)T9<l#$yi} ;~@(Hu* Dנz/0ǰ $ X3aZ,D0j~3߶b~i>3\`?/[G\!-Rk.sԻ..a濭? PK ! ֧ 6 _rels/.relsj0 }Q%v/C/} (h"O
= C?hv=Ʌ%[xp{۵_Pѣ<1H0ORBdJE4b$q_ 6LR7`0̞O,En7Lib/Se е PK ! ky theme/theme/themeManager.xml M
@}w7c(Ebˮ CAǠҟ7՛K
Y,
e.|,H ,lxɴIsQ}#Ր ֵ+!,^$j=GW)E+&
8 PK ! P theme/theme/theme1.xmlYOo6w toc'vuر-Mn iP@I}úama[إ4:l ЯGRX^6؊>$ !)O^rC$y@ /yH*)UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSe bORD۫qu gZo~ٺlAplxpT0+[}`j zA V2Fi@qv֬5\|ʜ̭NleXd sjcs7f
W+Ն7` g ȘJj|h(KD-
dXiJ؇(x$( :;˹! I_TS 1?E ??ZBΪmU/ ?~xY'y5g&/ɋ>GMGeD3Vq%'#q$8K )fw 9:ĵ
x}rxwr:\TZaG*y8IjbRc|XŻǿI
u3KGnD 1NIBs
RuK>V.E L+M2#'fi ~V vl{u8z H
* :( W ☕
~JTe\O*tHGHY }KNP*ݾ˦ TѼ9/#A7qZ $*c?qUnwN%Oi4 =3ڗP
1Pm \\9Mؓ2aD];Yt\[x]}Wr|]g-
eW
)6-rC Sj
id DЇAΜIqbJ#x꺃 6k#ASh&ʌt(Q% p%m&]caS l=X\P1Mh9MVdDAaVB[݈fJíP|8 քAV^f
Hn- "d>znNJ ة>b&2vKyϼD:,AGm\nziÙ .uχYC6OMf3or$5N HT[XF64T,ќM0E)`#5XY`פ ;%1U٥m;R>QD DcpU'&LE/pm%]8firS4d 7y\`JnίI R 3U~7+#m qBiDi*L69mY&iHE=(K&N!V.KeLDĕ{D vEꦚdeNƟe(MN9ߜR6&3(a/DUz<{ˊYȳV)9Z[4^n5!J?Q3eBoCM m<.vp IYfZY_p[=al-Y}Nc͙ŋ4vfavl'SA8|*u{-ߟ0%M07% < ҍ PK !
ѐ ' theme/theme/_rels/themeManager.xml.relsM
0wooӺ&݈Э5
6?$Q
,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{ P8g/ ]QAsم(#L[ PK- ! [Content_Types].xmlPK- ! ֧ 6 + _rels/.relsPK- ! ky theme/theme/themeManager.xmlPK- ! P theme/theme/theme1.xmlPK- !
ѐ ' theme/theme/_rels/themeManager.xml.relsPK ]
Q R ! ; P
X & P pP P P P P P P P P Q Q #Q 3Q PQ lQ Q Q Q Q Q Q
R &R >R SR iR R R R
" # $ % & ' * + , - . / 0 1 2 3 4 5 6 7 8 9 : < = > ? @ A B C D E F 8 @ 0 (
B
S ? F S k n o x ~
3 3 3 3 3 3 3 3 Z #
i r V $ L] D6 wJ v ^
{ Dq u
JW
,k
r # d% + Qh H KM 0 ] q e s 5 ze r! x! v$ <% x% & ( - (G-
1 g1 h[2 ?3 K]3 %4 5 <8 59 @< = )=
> d> S}> 6? =E `E |FF (G "I RI DL !M DM nDO e Q 0=S U #bU vnU ZW HX U\ 0R] )^ l+^ XJ^ '^^ n^ SK_ zb JEc -pc xf
zf 4zh Bi Pj pk fl 92n to , p r D~s `u .1w Jw aw ) x {*x z z "Az u} 4q~ l fh m Z ?B x r ~ Kb V # #b l ; S- f UC l b Er j ? "f UM X 1< K x T m [ Y W
` B F$ A| g * > L : Q* # L vr 1 6: n h7 7 \v Q7 n# @V = t $ * = QX Rc hF ? Q Q @4
h @ h h h @ U n k n o w n G * T i m e s N e w R o m a n 5 S y m b o l 3. * A r i a l CN C o m i c S a n s M S 5. * a T a h o m a A B C a m b r i a M a t h " h fgg Y c
Y c
Y 24 d 3 KX ?
2 ! x x 9 A c t i v i t y : S o l v i n g e q u a t i o n s w i t h v a r i a b l e s o n b o t h s i d e s
m y z a g u i r r e M a t t V a u d r e y Oh +'0 , D P
p |
< Activity: Solving equations with variables on both sides myzaguirre Normal Matt Vaudrey 3 Microsoft Office Word @ G @ 8@ 1jb@ 8 Y c
՜. +,0 $ h p
MVUSD : Activity: Solving equations with variables on both sides Title
! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G I J K L M N O P Q R S T U V W X Y [ \ ] ^ _ ` a b c d e f g h i k l m n o p q s t u v w x y | } ~ R o o t E n t r y F . @ D a t a
H " 1 T a b l e Z s W o r d D o c u m e n t
4 S u m m a r y I n f o r m a t i o n ( j D o c u m e n t S u m m a r y I n f o r m a t i o n 8 r M s o D a t a S t o r e n% )* 0 E T H A E W T K K S A = = 2
n% )* I t e m
P r o p e r t i e s 7 m U 5 W Q 0 G Y 2 R U = = 2 n% )* I t e m
E P r o p e r t i e s I O C o m p O b j O y
! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 8 9 : ; < = > ? @ A B C D F G H J K L M N P
This value indicates the number of saves or revisions. The application is responsible for updating this value after each revision.
DocumentLibraryFormDocumentLibraryFormDocumentLibraryForm
F' Microsoft Office Word 97-2003 Document
MSWordDoc Word.Document.8 9q