Fraction s/ I ntrod ucti on to Transformations and Geometry

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Choose 3 ofthese 5 pockoges to behonded in: (Check off when completed)

<Complete First

Adding Integers Usingthe Zero PrinciplePage

Complete thesetwo packagessecond !

6.1 Comparing Positiveand Negative Numbers

3 How Cold (Warm) areyoul

I Whats the difference?

Scramble to Compare

UnitTêst{ Srrr"tiveTask Parts 1,2,3,4

Final Assess

Wtt"t's the Difference? Subtracting integers

subtract. use your answers to break the code and answer the question'

(Hint: You will not need every answer to break the code')

I t oA. -2- -4 =

B . *3 - -5 =

C. -2 - -2 =

D. +5 _+!, =

E. -3 -*4 =

F - + g _ + { =

G . - 2 - * 6 =

H . - 3 - * 8 =

l . * 8 - - 6 =

J . - 8 - - 5 =

K. -5 - -4 =

L . *5 - -1 =

M. *2 --3 =

N . * 6 - - 1 =

O. *6 - -3 =

P. +5 -+$ =

R . - 5 - 0 =

S. *6 --7 =

T. -5- -3 =

U. -4 --7 =

V . + 3 _ + 9 =

W - 4 - * 5 =

X . - 5 - * 5 =

Y . + 5 - - 5 =

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Bingo Search Adding integers

Add. Shade in the box that contains your answer. Work until you find the BINGO.

A . * 3 + - 5 = - * 4 + + 6 = _ - 5 + * 7 = -

* 9 + - 3 = -

- 4 + - 6 =

- 6 + - 7 =

- 3 + - 4 =

- 7 + - 4 =

B . * 1 0 + - 5 = - - 1 6 + * 4 = -

- 1 + * 8 =

- 2 + * 6 = _ + 5 + - 6 = _ - 2 0 + - 3 =

E . * 8 + - 1 1 =

F. -19 +-3 =

-12 + +20 = *1S + -24 _ + 7 + + 9 =

ao+7 *20 +6 +1 - 1 3 -2

+9 0 * 1 2 -23 *23 -9

* 1 0 *22 +5 -5 -7 -8

*1 1 - 1 0 +3 +4 -6 -3

* 1 6 * 1 9 +2 * 1 5 -12 * 1 3

-4 -1 1 - 1 5 -1 -22 +8

@ Frank Schaffer Publications, Inc FS-30106 Math

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SCRAMBLETO COMPARE

(COMPARING AND ORDERING INTEGERS)

Using a number line, iirt the i"i;gt;s in ittt block below

from least to greatest; then place the corresponding letter

above each inleger to 'funscramble" the code'

R46

Sp0

G- 1 9

N-t3

C55

G- 1 0

tr- 1 1

E S p A1 9 2 2 1

s p I-17 11

E25

E60

E-8

P4

D-30

o-27

I-24

I- 1 5

CE50

o5

NI52

S-2

v1 s

T-r2

I1,4

X30

Sp-4

N-20

E39

P33

R-7-t

t

S-5

I-3

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I NTEG ER ADDITION PUZZLE

To solve the puzzle below, add the signed numbers horizontally andplace the results in the column marked A. Next, add the numbersvertically and place the results in the row marked B. Find the totalsfor row B and column A, placing the sums in tne cell at C. Thesesums should be the same.

, C

A

I

B

-

7 -3 -8 -3 0 -5 I -6 4 l l

4 2 -4 -6 -6 2 5-,J 7

-2 -l 3 -8 4 -9 4 1 5

-8 2 -t. J 7 -8 -)

J -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 -7 2 -7 -4

T)- tl"J- brn t

v,coofo.Eo\,,

Add¡tion and subtraction of integers ..,,.. i........,..,. '.

Exampte: A large mixture of Cubes and Spheres is at *10"C. A technician wishes

to tower the temperature to *6'C using a minimum of materials. She realizes she

can make the temperature go down 4'C in one of two ways:

Add 4 Arctic Cubes OR remove 4 Sizzling Spheres.She completes her task by writing a number sentence to represent each situation.( + l o ) + ( - 4 ) : * 6 ( + l o ) - ( + 4 ) : * 6

Each of the following describes the two ways a desired temperature can be reachedand includes the two related number sentences. Fill in the blanks to complete thetechnician's work and circle the correct shape. Use drawings to help you explain.

a) From +10"C to *15'C, add - (cubes/spheres) or remove (cubes/spheres).

( + 1 0 ) + ( - ) : + 1 5 ( + 1 0 ) - ( - ) : + 1 5

b) From -6'C to -2oC, add - (cubes/spheres) or remove (cubes/spheres)'

( - 6 ) + ( - ) = - 2 G 6 ) - ( - ) : - 2

c) From -2"C to -'12"C, add _ (cubes/spheres) or remove (cubes/spheres).

( - 2 ) + ( - ) : - 1 2 ( - 2 ) - ( - ) : - 1 2

d) From -6'C to *2"C, add _ (cubes/spheres) or remove (cubes/spheres).

( - 6 ) + ( - ) : + 2 ( - 6 ) - ( - ) : + 2

e) From -7"C to -8oC, add _ (cubes/spheres) or remove (cubes/spheres).

( - 7 ) + ( - ) : - 8 ( - 7 ) - ( - ) : - 8

f) From +8'C to *5oC, add - (cubes/spheres) or remove (cubes/spheres).

( + 8 ) + ( - ) : + 5 ( + 8 ) - ( - ) : + 5

g) From to -12"C, add 10 spheres or remove 10 cubes.

( - ) + ( + 1 0 ) : - 1 2 ( - ) - ( - 1 0 ) : - 1 2

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The TrueTemp Chemical Company produces Arctic Cubes and Sizzling Spheres. Each

Arctic Cube towers temperature l"C and each Sizzling Sphere raises temperature 1'C.

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a) (-6) + (-2) :

c) (+6) + (+2) :

e) (-3) + (-s) :

s) (+3) + (-s) :

¡) (-1) + 1-s¡ :

fr) (+3) + (-2) :

2. Evaluate each of the foflowing.

a) (-30) + (-ro) :

c) (+20) + (-s) :

e) (+20) + (-30) :

g) (-1000) + (+300) :

¡) (-s) + (-6) + (_3) :

k) ( - l ) + (+10) + (_2) :

3. Fill in the box with the correct integer to make a true statement.a ) ( + 4 ) * [ : * 6

c ) ( + + ) * [ - - 3

" ) f + ç 2 ) - - s

s ) f + ( + 6 ) + ( - 3 ) : * 5

r'-lspecffic Expectat

ø

A d d i n g i n t e g e r s e o c * o ô ' e o r . . ô ¡ o I o I o o . ' 3 o . , i . , . c . , . . e . r o . . o o , . o . . . o . o ,l' Evaluate each of the following. use the number line on the left when needed.

b) (-6) + (+2) :

d) (+6) + (-2) :

f) (-3) + (+s¡ :

h) (+3) + 1+s¡ :

¡) (+4) + (-6) :

f) (-8) + (+3¡ :

A calculator should not be needed for this exercise.

b ) ( + 3 0 ) + ( - 1 0 ) : - -

d) (+20) + (+5)

f) (-1000) + (_3OO) : _

h) (+1000) + (_300) :

¡) (_s) + (+2) + (_3) : _

t) (-8) + (+3) + (++¡:

b ) ( - s ) + [ - - 3

d ) ( - s ) * [ : * 3

f ) [ * ( - 5 ) : + 4

h) (-4) + (-s) * l-l: o

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degrees Celsius

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Name:

Tbe temperah¡re is 5"C-A- Tell what the final temperature is after

each temperature changeB- After each change in temperahre write

an integer to describe the change'

A drop of

A drop of

A drop of

A rise of

5. A drop of 6"

6. A drop of I l"

7- Show the f-rnal temPcraturc oo thc lhermometer-

What is the boiling temPerature of water?

Vfhat is lhe frcezing temPerahrrc of water?'-

'Whcre do you think this place coulô be?

TVhat time of year do you think it is?

What would a temperirh¡re be on a hot summer day?

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_- _2- - 4--- 4- - 8.-:_ -t0- -12_ _ ¡ 4_- -16- _ 1 8- -2O*_ _22_ _24- _26- -28.-._ _30_ -32_ _34_ -36_ -38- -40

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What would a temPeraturc be oo a cold winter day?

What would a good room temPeraturc bc?,

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28.1: Summative Task Part 1 ... Communication

Name:. Date:

r̂ I Write a letter aimed at an alien from Mars, named Red, showing him how to add two integers.' Assume the alien knows what integers are and can add wholê numbers- Include at least one ot

pictures of integer tiles, number lines or rules you have developed.

Dear Red;

e

c* i ^ r t t 4 Q ¡ ¡ t t 1 l

28.2: Summative Task Part 2 ,.. Knowing Facts and ProceduresName:Date:

I Use integer tíles OR a number line to illustrate each integer sentence. State your anèwer inthe space provided.

(+S) + (-2) = -3 - (-5) =

2. Use positive and negative integers to create a true mathematical statement. Use integertiles, if you wish.

+ - + 3

v

3. Circle the correct response toexamples or words to explain.

a) "A negative number plus a

each part below then iustify vour answer. Use drawings,

positive number.equals a positive number,"This statement is:

Always true

b) "A negatíve numberThis statement is:

Always true

Sometimes true Never true

subtract a positive number equals a positive number."

Sometimes true Never true

T} R1ath Success - ade 7/Term 3 Queen's Printer For ario,2004

, ^( ) 1. Modelthe following problem using the number line.below. Use arrows to help answer thequestion."The temperature at 10:00 a.m. was 20oC.lt rose 5Co by noon then dropped 8Co by 11:00p.m. and dropped a further 2Co in the next hour. What was the temperature at midnight?"

l l r t t t t t r t l l r t t t t t t t t t t t t l t l

2. When did these dinosaurs l ive?

Mesozoic EraTriassic Jurassk

28.3: Summative Task Part 3 ... Making Connections

Name:Date:

t-

Cretaceous

e a) The Tyrannosaurus Rex l ived 75 mil l íon years ago.

It lived in the period.

b) The Euskelosaurus lived 90 millions years before the end of the Jurassic period.

It lived in the period.

c) The Br-aehiosaurus iiveci in the Jurassic perioci, near its enci.

I t l ived about mil l ion years ago.

d) The Triassic period was mil l ion years long

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Today

Leading Math For Ontario. 2004

28,4: Summative Task Part 4,.. Reasoning and Proving

Name:Date:

Carefulty copy the data (the ne¡gnt Oata collected earlier today) into the box. Double check that youhave not made a copy enor. These integers represent the difierences of several volunteer studéntsheights from the average height of 12-year-otd students, 1S1 crn.

)

1. a) Calculate the mean of the numbers in the box

b) Add your answer in part (a) above to 151 . This represents the average (mean) height ofthe volunteers.

c) The average height of the volunteers might not be the same as the average height of12-year old students. Give reasons why this might be so.

2. Calculate the median of the numbers in the box.

3. Calculate the mode of the numbers in the box.

4- Which of the three "averages' would be affected the most if a very tall volunteer's differencein height data were to be added to the box?