P :=r-..=:=-=-:==::-=-t=.,-

? * '? (. -ors ?

(!/Direc+ions= Solve each pro-blem below. The Ie++ers in each problem represen+ +he number of hear+s l9)*aa l rIll 1.1 l M 1./% l ts.ii iiiiii i ir- ** lllall I l'lrlVQ I'?T TTlmT l'irlrTlf'l Ilrlr rrslrThr rrsh bvrs?nlw if srrsi i )'srisrw / ruvsl.z lhwr-iv'-'tc'- 'l shiksi?e? lqrstq+%r- wvsA % #you have of +ha+ par+icular color. For example, if you have 2 pink hear+s, 'l whi+e hear+s. and s

green hear+s +hen "P + W" should be read as "2 + 'l" and "WGP" should be read as "'152."

OV . GG = GW - Y =

VW . OP = YVW-O=%z

ml

YO . GP = GVW - WW =

Q'Jt

OY . GOG = VYY - GY =

gV'

PYV . YYO = PGWP - VO =

OWO . YGP = YGYO - PV =

VOYG . PPWW = PYWW - OVG =

GGWO . YWYP = YOPG - WPW =

YYOOPP . OYG = POYGV - WVGY =TEXT@t ONLY

* POYGVW . GYOP= GOGPW - OOPO =YOU

'€fiChoose one of +he problems wi+h +he le++er P in i+. Wri+e i+ here=

py53! P,

'<How would +he answer +o +ha+ problem change if you had four more pink hear+s?

(

P :=r-..=:=-=-:==::-=-t=.,-How would +he answer +o +ha+ problem change if you had +en more viole+ hecir+s?

Wri+e i+ here?(l s

(!'l?-? '? '? e !

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Color Pink (P) Orange (O) Yellow (Y) Green (G) Viole+ (V) Whi+e (W)

Nur

*@ (. -o/'% /?% r's1Q

k

x== MultiplicafionArrays ::s$(?How many arrays can you make using only your green

* hear+s ? Drow +hern below and +hen wri+e +he

mul+iplica+ion equa+ions.

,2,*,

',t6 ),*i*

How many arroys can you make by combining yourorange and whi+e hear+s? Draw +hern below and +henwri+e +he mul+iplica+ion equo+ions.

How mony arrays oon you make by combining yourpink and viole+ hear+s? Draw +hern below and +henwri'4re +he mul+iplica+ion eq,ua+ions.

How many arrays can you moke by combining youryellow, whi+e, and pink hear+s? Draw +hern below and+hen wri+e +he mul+iplico+ion equa+ions.

*

*

'Aff

)

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Color Pink (P) Orange (O) Yellow (Y) Green (G) Viole+ (V) Whi+e (w)

Nurnber

n a 'a @h

g!)Diredons= Solve each problem below. The Ie++ers tri each problem represeri+ +he number of hear+s J0

* you have of +ho+ par+icular color. For example, if you have 2 pink hear+s, 'l whi+e hear+s, and s iii*

green hear+s +hen "P x W" should be read as "2 x 'l" cind "WGP" should be read CIS ?152."

PxO= VW - P =

G x W = GY - O =BE

MINE

YO x V = WP - V =

LOVE

GG x P = PWG - Y =

PVW x O =Ek>wy

GYW - O =

Y x OGP o PYYG - P =

GOGO x W = YOOW - G =

P x YOPY '- OPV - WY = LOVE

CAtt%t

'< GW x OP = GGVV - YP =

VPOG - VO =YY x WW = *i*iil

(l pklt( WJ

'4 1

P :r-.-=:::-::r==;:::::::.::,-.::.::,:.How would +he answer +o +ha+ problem change if you had +hree +imes as many whi+e hear+s?

(ls

'? ?Jtb J*

*

11@ @@

Choose one of +he problems wi+h +he le++er G in i+. Wri+e i+ here=How woula +he ariswer +o +ho+ problem change if you had +wice as many green hear+s?

O 2015 Bumtir Fiao, w)lVw.GAMES4GAI NS.C OM

Color Pink (P) Orange (O) Yellow (Y) Greeri (G) Viole+ (V) Whi+e (W)

Nurnber

n a 'a @0r

(:;),'j

@ 0%

k

Factors arid JMultiplesCoun+ how many of each color of heor+s you have and fill in +he +able below.

J

lCl

!m

I='!

q/) oire-aions: Solve +he following problems. The Ie++ers in each problem represen+ +he number of l!)iii hear+s you have of +ha+ par+icular color. For example, if you have 2 pink hear+s, +hen a it.

problem +ha+ reads "Lis+ 'l mul+iples of P" should be read os "Lis+ 'l mul+iples of 2." If youhave 3 orange hear+s arid s green hear+s, +hen "Lis+ +he fac+ors of OG" should be reod as "Lis++he fac+ors of 35."

ONLY

YOtl k A. .ll=.-l?.. vixiMul+iples MECALk

ME

Lis+ 3 mul+iples of Y.Lis+ s mul+iples of V.Lis+ 'I mul+iples of PLis+ 2 mul+iples of G.Lis+ 'l mul+iples of W.Lis+ 3 mul+iples of O.

Is 15 a mul+iple of ciny of +he colors? If so, which one(s)?Is 27 a mul+iple of any of +he colors? If so, which one(s)?Is 32 a mul+iple of any of +he colors? If so, which one(s)?Is 60 a mul+iple of any of +he colors? If so, which one(s)?Is 72 a mul+iple of any of +he colors? If so, which one(s)?

Fac+ors BE

MINELOVE

Lis+ +he fac+ors of V.

Lis+ +he fac+ors of P

(11 Lis+ +he fac+ors of G.Lis+ +he fac+ors of GV.

'4Lis+ +he fac+ors of WY.

Lis+ +he fac+ors of RW.

o t))Does any color (single-digi+ number) have 3 as a fac+or ? If so, which one(s)?Usirig your hear+s, can you make any double-digi+ numbers +hci+ have 12 as a fac*or? If so, which

(leone(s)?

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Color Pirik (P) Orange (O) Yellow (Y) Greeri (G) Viole+ (V) Whi+e (w)

Number

*@ c;:s "['s /';'% r;'S

(**

:g!))

:,:it **

k

LOVE

Coun+ how many of each color of hear+s you have and fill in +he +able below.

GCF arid LCM@h *

J

ONLY

YOU

(l

]!')*

(P} Diredions: Solve +he following problems. The le++ers tri each problem represen+ +he riumber of Whear+s you have of +ha+ par+icular color. For example, if you have 3 orange hear+s, s green i+

i*

**

hear+s, and 2 viole+ hear+s, +heri "Wha+ is +he GCF of VO cind G?" should be read as "Wha+ is+he GCF of 23 cind 5?"

Grea+es+ Common Fac+or (GCF)

Whci+ is +he GCF of Y and W')

Wha+ is +he GCF of O and GV?

Wha+ is +he GCF of PO and Y'.

Wha+ is +he GCF of WP and OY?

Wha+ is +he GCF of GG and PR?

Do any +wo colors (single-digi+ numbers) have a GCF +ha+ is grea+er +han I? If so, which one(s)?

Can you find any combina+ions of colors +ho+ have a GCF of g? If so, which one(s)?

Can you find any combina+ions of colors +ha+ have a GCF of 127' If so, which one(s)?

%r

'/%7

l)-(7Leas+ Common Mul+iple (LCM)

Wha+ is +he LCM of P and G?

Wha+ is +he LCM of Y and O? *i01

%l Wha+ is +he LCM of o and V? M)Wha+ is +he LCM of Y, G, and O?

'< Wha+ is +he LCM of P, W and V?

Wha+ is +he LCM of O, R, and W?

1

oDDo any +wo colors (single-cligi+ numbers) have ci LCM of 'l? If so, which one(s)?Do any +hree colors (single-digi+ numbers) have a LCM of 6? If so, which one(s)?

F . '? ,!"'sJ?

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Number

*@ ?"/'%? r;'+

iil

),% -ii

k

Mean, Median, Mode, and RangeJl!

*

{'ls 9 V @ W J9 * @ * s 9 V @ 11 s R sr @ * s 5t s 61-?a?l

G, 0, Y, Y, P, W

Wha+ is +he meari?

ffl Wha+ is +he median?

t hll?@?'ap !Who+ is +he mode?

ho+ is +he range?

o? ora?ty?o'?o'?or?elCALI

rit:

. o? eb? o? o?o? o

P, G, 0, V, O

.@-sJygME

'mi' . @@? @ m J 9 % @ w % R ! @ w s 9 9 @ * s 9 9 @ w s 9 3L@

0, Y, W, 0, G, V i@

ONLY

YOU

0i .'

Wha+ is +he mean?'4 @i'

Wha+ is +he mean?

i,] Wha+ is +he median?

Wha+ is +he mocle'?

! Wha+ is +he range?

l'l

g'6T ff ff W W W fl

l@

1%

t

LOVE ! Wha+ is +he median?

Wha+ is +he mode?

2 Who+ is +he range? '14

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Can you find a comb:no+ion of five hear+s +ha+ have a mean o'F 3?

Can you find o combina+ion of five heor+s +ha+ have a median of 3?


Nurnkxr

@@ @@

0t? Wha+ is +he +o+cll number of hear+s +ha+ you have in your bag?

),kTEXT

ME FractiorisJ

MINE

ml

LOVE (l

(!==')i

(l If you were +o wri+e wha+ frac+ion of +he bag each color hecir+ makes up, would you use +he 22+o+al number of hear+s as +he numerci+or or +he denomina+or?

',4 ); id >1kr*

If you were +o wri+e wha+ frac+ion of +he bag each color hear+ makes up, would you use +henumber of hear+s of a specific color as +he numera+or or +he denomiria+or?

a?Which frac+ion above is +he grea+es+? Which frac+ion above is +he Ieas+?

'<Pu+ +he froc+ions above in order from Ieas+ +o grea+es+.

o bPlo+ +he frac+ions in +he char+ above on +he number lirie below.< h i

O

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Color Wri+e +he

fradon

Wri+e +he frac+ion

in sirnples+ formi+e +hree rnore eq,uivalen+ fradions

Pink

(P)

Orange(O)

Yellow

(Y)

Green

(G)

Viole+

(V)

Whi+e

(W)

n r % /;'% "['% /';'% r;s

((

d

G

'< %Twfj

s **

k

Fractioris ProblernsWri+e +he frac+ion of each color hear+ you have in +he +able below.

@@ l}

J

CALL

ME

(l

(!%1,,2

a',Diredions: Solve each problem below. 'i/'*i+e your ariswers in simples+ form.

ld >>m/

Look a+ your hear+s in +he +able above. Carlos gives you 2 more pink hear+s.

Wha+ frac+ion of pink hear+s do you have now?

Wha+ frac+ion of yellow hear+s CIO you hcive now?

Wha+ frac+ion of your hear+s are ei+her pink or whi+e now?

Look a+ your hear+s in +he +61e a?e. Ann gives you lrnore viole+ hear+ and 3 more ormge hew+s.Wha+ frac+ion of orange hear+s CIO you have n>? .{

i

Wha+ frac+ion of viole+ hear+s CIO you have now?T

Who+ frac+ion of your hear+s are ei+her viole+ or orange n>?

Wha+ frac+ion of your hear+s are riei+her viole+ nor orange now?

@Hi!f Whci+ frac+ion of your hear+s are ei+her orange or green now?vol)

Look a+ your hear+s in The +able a?e. Max doubles +he number of' green hear+s you have.

Wha+ frac+ion of green hear+s do you have now?

Wha+ frac+ion of your hear+s are ei+her whi+e or geeri now?

a)I Wha+ frac+ion of your hear+s are nei+her green nor pink nc?? t)

0D

LOVE

Wha+ frac+ion of yellow hear+s do you have now?

Wha+ frac+ion of green hear+s do you have nm?

(lsWha+ frac+ion of green or yellow hear+s do you have n>?

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BE

MINE

LOVE

Color Pink (P) Orange (O)

l

Yellow (Y) ' Green (G) Viole+ (V) Whi+e (w)

Fradion

of Totol

4*

@@

* iiii

:t Decirrthals?. @@

? j(!l

k:-::-.:::::::-:)::.:?:-=.:1::=:=:,.-:l:::,:.=;:.:::-:-=::l:.1:m::.:-::::-J+hen +he value of green hear+s in your bog is O.'l since each green hear+ has a value of O.1.

Wha+ is +he +o+al value of +he hear+s in your bag? Wri+e +he +o+al value in s+aridcird form.

4 0 9t

it.

(@(l

.,- dt%Wri+e +he +o+al value in expanded form.

Wri+e +he +o+al value in word form.

lm*&(Mtel-IJVRound +he +o+al value +o +he neares+ +en.

Round +he +o+al value +o +he neares+ hundred+h.

Round +he +o+al value +o +he neares+ one

Round +he +o+al vcilue +o +he neares+ hundred.

Round +he +o+al value +o +he rieares+ +en+h.yEXTsAk11111

*

Solve +he following problems. Tt?ie le++er represen+s +he +o+al value of +ha+ color in your bag. Fora

*

(lexample, if you had s pink hear+s, +hen P = 500. iil

M)

'< 1

oD (U sP-V=

0 . '?

s x (O - V) =

?? !*

@ii @@

P - (G . Y) =o+e+v=

3xV=P.W.Y=

BE

MINE W x 7 =O-W=

a) 2015 Bp?n Fiao, wllw.GAMES4GAI NS.C OM

Color Pink (P) Orange (0) Yellow (Y) Green (G) Viole+(V)

l Whi+e (W)

) Value 100 10 l 0.1 001 O 001

Number

To+al Value

of Color

P :=r-..=:=-=-:==::-=-t=.,-

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