1. ii
ffird*r *f #pæs.æ€*æræs
Ycu hav* ade$eci, s*htri:cï*d, ma,;Ëtiplled, r:r d[l'ie{*d wif.h 'ovh*[e n*r"rtÈrerç.
Âdd, sq.;i:tra{t, n'}irlïip*y, *nd divide ar* *p*rati*ns.
in This l*sscl,ycl-l wilï g:erf*rn: e*le ul,:ti*srs e;*inel iTlrJr€ tharl one *peraii*n.
'k; v;in fr r*Onlesl, hl*rry'r eiad n'rilst âristlldei"thi: skiii-t*:;tinq questi*i"l:
,;+3)ri*--4.:
F. Ë-is:d th* answer in æs r"*any yûli {âil'
wæys ax
b Ë*cord the straTegy "y#u us* fnr each method'
F, Tf"ic ecrrect *i:sw*r is â3.
Which stratÊç'y çives this answer?
S$sæw ffi*xæræ
Shar* y'tur uvcrk r*r"lth an*tl"ler:tucf ent.
lliser:s: hr:w T* vers,'riï* th* qu*sti*n s* lh* *n!y pcsçiË;ïe ansvç'*r i5 23
Shen y*il sclv* e pr*trlern that u:*: rrr*r* than *ne *p*r*tion,
tlr* arrsirl{*}"d*per"ie{s *n ihe *i"c{*r in lorhiçh ycu p*rforrn the *:pnrati*ns'
S*l,ve th* expr*s:ion; 3 + 6 >i 4
lf yr:* ar{r.l first,Y** çet: I x 4 : 36
Ârr *xpressi*n is a
*"ralhsrnali*al statsn:*nT
lf yclr: multipTy{it"st,y*u E*i;3 - ?':i : 2l rrvitlr nun:h*rs a*d *p*rali**ll.
When we *alc*laT* thç an*w*t
we s*lve th* *xpre*cian.
T* av*id SâtIinç twû âilsnrer5, Ther* is a rui*
that n"rultipTicati*rr is d*n* bef*re adeliticn"
5*,3 *' 6 >< 4 '= 3 * ?4 : â7""nihieh is th* c*rr*rt an$ry*r
ffi& â-gsg*ru Ë*gu* i"i:e *e cô:-:^ec.i crd*'' *i *perc?i*n*

2. 1#e uç* br*ckets if we want centair: op*raticns carnied *ut first.
1"* *rake slire Ëv*ryûne çets the sanre ênstuver when sarlvinE
,:ri *xprsssicn, v*e usc this çrder *f erperatians:
. ilç the *peratior"rs in bræckets.
' Multipiy and divide, in order, frorn left to right.
' Then add ancl subtract, in *rder, fr*m left to right.
F T*lve: T6_T4
*}
t-
't6 * 14 î 2
i
!
-,
p Sclv*: 1S *',l*""r- 6
]8 'lû {- 6
1
+
x S+$
x14
P. 5*lve: 7"{q rQ!
1 ,,, lA
1. lT' +. 8l
à
* "7 -,' 1) Dr: ti re cp,+'rlirr
iii i:ri:çi.lei: |ir':'t,
*$4 L1 + ,1: 1,t'
'l"irei.i
nii:i'iis-rigr
i :{ i:1 : rjii
îh|: Of,,:lgt, a'i L-rl--rrrt,. i.l:ii,rl,r
lJr r r'- t-:11;
clc llivr,ir,:
M,-rii ipiq
Â.id.ti:rc $iilrirrct
Unit? LessonS ffiS

3. i
ii
ri
T. Solve ca*T: *xpe'*sti*n.
U:* tt"l* *rrj*r *f *p*rati*n:.
*3 13 -i 4 x: h3:5- 'i:"1 3 *l 2zl -r 35 -r *
d) 'l3 ^ * - li *F 5iï * ?)'iS 'trË 7 x i2 -t- SJ
s! $1 + !] *-s h3 :5 -i- t** 4i g3 '!3- *, t'8
â" 5*rne e*icul'*Tr:rs f*l!*v'r the *rdsr *f *ç:erati*ns"
tlth*rc d* *q:t.
il'rcs.,t; P i:' I g Fl g i:i
***s y**r r-alcr"rlat*r f*$l*r,,r Th,: *rder *f erp*i"atielr:s?
ilxplain hcw y*u knçw.
s" ffiiai-rca*erieied s: i-:t # [.n ] 1'-' j in her cekul*[*n.
Shr: ç*t fi:e ansv'r*r I ?*"
{ri u;hal- *r"c.jcr dici Sianca'ç c*ic-*l*îcr perf*r*: lh* *pcraïi*ns?
$-4or'ç da'iiû{-} kn*ÂJ?
4- l".jse sn*ntal n:;*th t* snirra.
*3 âr'lt** - 4*S* ).. ;l tu) 6 -t- 125 -:- 25
c3 {1**Û +'6*':}{}i }l 3 {*}SÛx3:t
*? 5 ){ {4 l- ]i} éï 5*-i5*+5*
ff} {5* - 5#} :- 5* tu} i? x Iil) ^ {3* + 3*:
*3 16-:2xç g3 2*Û * i?Û* ': "?il)
ffi. {".}5* mcnlôl maTl'l t* **lvE"
æ)4X7*:-+-1 h)4)'((T*:") f"1
*1 4 >i7 - {l * 'tl d3 4 >1 i?-* : +" li
e! i4:'l 7*:) r-'1 f3 4 )( T * i: | 1i
lqihich €xi:r#:çiûT'i çiv*l ih* ç r*at * :T r* i'lsçvc rl'
Th,: i*æsT an*lci*i?
d4
fr i-J:* t?-le nun-lb*rs 3,3, *rici 4 ar:d âr1: sp*t*ti*ns *r braek*Ts.
l,Vrite ân *xpr-#ssi*n thal *çu*1* *ô{f} nuffibçir.
#* '3
æ3* e3Ê 1* *l 1,+ d3;* *36
Try T* d* ehiç n:*r* th;n *n* wêy.
i'l*w nr:any different afisiryeis {i3fi "t*t.t ç*i by ir":sertir:r}
#n* pâir *f L:r*ck*t:: ir: thi* *xpressit*?
jû r- 6 __ 4 + 2 Y. 3
ffrite *;:ch *xpreisi*r1,1-h*n s*lve !t.
S& &sExçsmg*sr $<)*g:$ | Gueçti+r: S ljrit 2 l-*srr:,ri f;

4. A[*xi b*xçht 5 T-:hirTç fçr 5] ? each
fr*,ru
and 3 pairs of sccks f*r $J e pair"
Whieh expressi*n Ehr:v-'s h*w rnuclr Al*xi rp*nt in dsilar*?
HNplain"
a! 5x1:X3x2
k3 5.r: 12 r- 3;{ 2
*l {5 + 3i :{ {1} + 2i
Ch*os* mr: ntal math, a calcuiat*r, *r paper and
tç sç{v*.
F*r *ach questi*n, h*w did you deeie** çvlrieh methtd to usel
e3 ?38 '- {: x. 73} h$ 47 r. i1S r. 1S)
*! {3S {" 14} + "T*
*335x{4ExSi
elS*Xi.4+?: s3 {2** + 5û} )'{ iû + 3)
fu1r. firadshaur hcuEl-rt ? b*xes çf frr.;it b'*rs f*r his 3 ehildren.
[ach: box has 6 frr.rit bars.
The ehlidren shar*d tire fruit bars equaiTy.
Holv rnany fruit b*r-q dtel *aef'r *hilei çet?
Writ* a numi:er s*ilten{e tc shcw th* *rder *f *pcrati*ns yr.:u used.
{cpy *ach r:urnber sentenÇe.
LJse brackeTs t* r*ak* each nurnber sentenee true.
a3 3S-i,4x3.=3
b!?*+5){}-i 3
*l i* - 4 + ?-* 'l * i:.
Ntlmhsr Strnt*gi*s
Write each nurnber in
expandcd frrm, and in worcls.
. 2S 4û8 5lg
A/hy d* we need rules for the order in which we ' 10Ë 5$S Sû4
perform operations?
. 4ilt t17
fiiv* examples T* suppsrt ytur a*swer"
. I 87? û*3
* 89 {}tS 2û0
Unii? Less*ng SY