Fractions/ I ntrod ucti on to Transformationsand Geometry -
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to be Choose 3 ofthese5 pockoges hondedin:(Checkoff whencompleted) I Whats the difference?
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Scrambleto Compare
Completethese two packages ! second
6.1 ComparingPositive and NegativeNumbers
3 How Cold (Warm) are
AddingIntegersUsing the Zero Principle Page
youl
FinalAssess { Srrr"tiveTask Parts1,2,3,4
UnitTĂŞst
Wtt"t's the Difference?
integers Subtracting
engÂĄneer? What'sthe differencebetweena teacherand an answerthe question' subtract.use youranswersto breakthe codeand (Hint:You will not need everyanswerto breakthe code') J.
B. *3--5 =
K. -5--4 =
C. -2--2 =
L. *5--1 =
D. +5 _+!, =
M. *2 --3 =
E. -3 -*4 =
N. *6--1 =
F- +g_+{ =
O. *6--3 =
-2-*6 = G.
P. +5 -+$
H. -3-*8 =
R.
-11
-7
-5
z
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=
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-5-0 =
-2
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-7
5
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Y. +5--5 =
-7
-5
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14
-11
T. -5--3 =
S. *6 --7 =
l. *8--6 =
-2
Ito
-8--5 =
A. -2- -4 =
5
1
4
-11.
-5
14
13
-14 Math FS-30106
@ Frank Schaffer Publications,Inc,
Bingo Search
Addingintegers
Workuntilyoufindthe BINGO. Add.Shadein the boxthatcontainsyouranswer.
A.
*3+-5=-
*4++6=_
-5+*7=-
-6+-7=
B.
*10+-5=-
-16+*4=-
*9+-3=-
-3+-4=
- 1+ * 8 =
-4+-6=
-7+-4=
-2+*6=_
+5+-6=_
-20+-3=
-12 + +20=
*1S+ -24 _
+7++9 =
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SCRAMBLETO COMPARE )
(COMPARINGAND ORDERINGINTEGERS) Using a numberline, iirt thei"i;gt;s in ittt blockbelow letter from leastto greatest;thenplacethecorresponding 'funscramble" the code' aboveeachinlegerto
C
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t
R 46
E 1
S p A 9 2 2 1
Sp 0
E 25
P 4
E 50
E 60
o
s p I -17
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G -19
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INTEGER ADDITIONPUZZLE and To solvethepuzzlebelow,addthesignednumbershorizontally placethe resultsin the columnmarkedA. Next,addthe numbers verticallyandplacethe resultsin the rowmarkedB. Findthetotals for rowB andcolumnA, placingthesumsin tne cellat C. These sumsshouldbe thesame.
-
7
-3
-8
-3
0
-5
I
-6
4
2
-4
-6
-6
2
5
-, J
7
-2
-l
3
-8
4
-9
4
1
5
-8
2
.J
-t
7
-8
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-1
4
-5
5
2
-7
., J
8
-2
-9
5
0
-6
2
3
5
0
9
-8
1
-9
-1
0
6
-1
6
-3
-8
4
-9
0
-7
1
-8
-2
9
6
-5
7
9
5
0
1
1
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2
-7
-4
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AddÂĄtionand subtractionof integers..,,..i........,..,.'. TheTrueTempChemicalCompanyproducesArcticCubesand SizzlingSpheres.Each ArcticCubetowerstemperaturel"C and eachSizzlingSphereraisestemperature1'C. Exampte:A largemixtureof Cubesand Spheresis at *10"C. A technicianwishes to towerthe temperatureto *6'C usinga minimumof materials.Sherealizesshe can makethe temperaturego down 4'C in one of two ways: Add 4 ArcticCubes OR remove4 SizzlingSpheres. eachsituation. to represent hertaskby writinga numbersentence Shecompletes
(+lo)-(+4):*6
(+lo)+(-4):*6
can be reached the two waysa desiredtemperature Eachof the followingdescribes Fillin the blanksto completethe and includesthe two relatednumbersentences. work and circlethe correctshape.Usedrawingsto helpyou explain. technician's (cubes/spheres). (cubes/spheres) or remove +15 + 1 5 ( + 1 0 -) ( - ) : (+10+ ) (-):
a) From+10"Cto *15'C, add-
b) From-6'C to -2oC,
add-
(cubes/spheres) or remove
(-6)+(-)=-2
G6)-(-):
(cubes/spheres)' -2
c) From-2"C to -'12"C, add_
(cubes/spheres). (cubes/spheres) or remove -12 -12 (-2)- (-): (-2)+ (-):
d) From-6'C to *2"C,
add_
e) From-7"C to -8oC,
add_
f) From+8'C to *5oC,
add-
G
â&#x201A;Ź
(cubes/spheres). (cubes/spheres) or remove +2 ( - 6 )- ( - ) : +2 ( - 6 )+ ( - ) : (cubes/spheres). (cubes/spheres) or remove -8 -8 ( - 7 )- ( - ) : ( - 7 )+ ( - ) :
U o o
No
= .2
(cubes/spheres). (cubes/spheres) or remove +5 ( + 8 )- ( - ) : +5 ( + 8 )+ ( - ) :
.;c
g) From
to -12"C, add 10 spheres
'tr c o U
( -)
or + ( + 1 0 ): - 1 2
remove10 cubes. - ( - 1 0 ): - 1 2 ( -)
Date
Adding
+18 ú7 ú6 f15 ,'14 .13 .12 .11 10 +9 +8 +7 t6 r5 t4 F3 12 -1 0 ,1
,2 3 4 5 6 7 I
inte
l' Evaluateeachof
o 3
line on the left when needed.
a) (-6) + (-2) :
I
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c) (+6) + (+2) : e) (-3) + (-s) :
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fr) (+3)+ (-2) :
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f) (-8) + (+3¡ :
2. Evaluateeach of the foflowing. A calculatorshouldnot be neededfor
a) (-30)+ (-ro) :
r
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this exercise.
íü ffi iË
b)(+30)+(-10):--
c) (+20)+ (-s) :
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d) (+20) + (+5)
e) (+20) + (-30) :
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f) (-1000) + (_3OO): _
g) (-1000) + (+300):
h) (+1000)+ (_300):
¡) (-s) + (-6) + (_3) :
¡) (_s)+ (+2)+ (_3): _
k ) ( - l ) + ( + 1 0 )+ ( _ 2 ) :
t) (-8) + (+3)+ (++¡:
3. Fill in the box with the correctinteger to makea true statement.
a)(+4)*[:*6
b)(-s)+[--3
c)(++)*[--3
d)(-s)*[:*3
")f +ç2)--s
a)
f) [*(-5):+4
(¡)
h)(-4)+ (-s)* l-l: o
3
f.
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l -,1: lj
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¡) (+4) + (-6) :
s)f+(+6)+(-3):*5
ñ;
it Å, '.1.
rli
h) (+3)+ 1+s¡:
¡) (-1) + 1-s¡:
t?
ii
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f) (-3) + (+s¡ :
s) (+3)+ (-s) :
ii
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d) (+6) + (-2) :
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b) (-6) + (+2) :
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õ gers eoc * oô' eor . . ô¡ oI oI oo . ' 3o . , i . , . c . , . . e. r o . . oo , . o . . . o . o , c o 3. the following. use the number
r'lspecffic Expectat
ø
t -rf
Name:
How Cold (Warm) Are You? l.ro v
degreesCelsius
- 3 0 -28 -26 -24 --22 20 l8
r6 l4 l2 l0 8 6 4 2 0 _2
_- - 4 --- 4 - - 8 .-:_ -t0 -12 _¡4 _ _- -16 _18 -2O *_ _22 _24 _ _26 -28 .-._ _30 -32 _ _34 _ -36 _ -38 _ -40 -
Tbe temperah¡reis 5"CA- Tell what the final temperatureis after each temperaturechange B- After eachchangein temperahre write an integerto describethe change'
t . A drop of 3 "
z. A drop of
80
3 . A drop of 9" 4_ A rise of
z"
5. A dropof 6" 6. A drop of I l" 7- Show the f-rnaltemPcraturcoo thc lhermometer-
8. What is the boiling temPeratureof water? 9. Vfhat is lhe frcezingtemPerahrrcof water?'10.
'Whcre do you think this place coulô be?
I l . TVhattime of year do you think it is? t2. What would a temperirh¡rebe on a hot summer day? l 3 - What would a temPeraturcbe oo a cold winter day? t 4 . What would a good room temPeraturcbc?,
o TÀtrr ßLn ]0
28.1:SummativeTaskPart1 ... Communication Name: Date:
. r^ '
I
Write a letteraimedat an alienfrom Mars,namedRed,showinghim how to add two integers. Assumethe alienknowswhat integersare and can add wholênumbers-Includeat leastone ot picturesof integertiles,numberlinesor rulesyou havedeveloped. DearRed;
e
c
*i^r
tt4
Q¡¡tt
1l
28.2:SummativeTask Part 2 ,.. KnowingFactsand Procedures Name: Date: I
Use integertílesOR a numberlineto illustrateeachintegersentence.Stateyour anèwerin the spaceprovided.
(+S)+ (-2) =
-3 - (-5) =
2. Use positiveand negativeintegersto createa true mathematicalstatement.Use integer tiles, if you wish.
+
-+3
3. Circle the correct responseto each part belowthen iustifyvour answer.Use drawings, examplesor words to explain. a) "A negativenumberplus a positivenumber.equalsa positivenumber," This statementis: Always true
Sometimes true
Nevertrue
b) "A negatívenumbersubtracta positivenumberequalsa positivenumber." Thisstatementis: Alwaystrue
ath Success -
Sometimes true
ade 7/Term 3
Nevertrue
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28.3:SummativeTaskPart3 ... MakingConnections Name: Date:
t-
(, ^ ) 1. Modelthefollowingproblemusingthe numberline.below. Use arrowsto helpanswerthe question. "Thetemperature at 10:00a.m.was 20oC.ltrose5Coby noonthendropped8Coby 11:00 p.m.anddroppeda further2Coin the nexthour.Whatwasthe temperature at midnight?" l
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t
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2. When did thesedinosaurslive?
MesozoicEra Triassic
e
Jurassk
Cretaceous
Today
a) The TyrannosaurusRex lived75 millíonyearsago. It livedin the
period.
b) The Euskelosaurus lived90 millionsyears beforethe end of the Jurassicperiod. It livedin the
period.
c) The Br-aehiosaurus iiveciin theJurassicperioci, nearits enci. It livedabout
d) The Triassic period was
millionyearsago.
millionyearslong
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28,4:SummativeTaskPart4,.. Reasoningand Proving Name: Date: Carefulty copythedata(theneÂĄgntOatacollected earliertoday)intothe box.Doublecheckthatyou havenot madea copyenor.Theseintegersrepresentthe difierencesof severalvolunteerstudĂŠnts heightsfromtheaverageheightof 12-year-otd students,1S1crn.
1. a) Calculatethe meanof the numbersin the box
b) Add youranswerin part(a) aboveto 151. This represents the average(mean)heightof the volunteers.
c) The averageheightof the volunteersmight not be the same as the averageheightof 12-yearold students.Give reasonswhy this mightbe so.
2. Calculatethe medianof the numbersin the box.
3. Calculatethe mode of the numbersin the box.
4- Which of the three "averages'would be affectedthe most if a very tall volunteer'sdifference in height data were to be addedto the box?
)