## Wednesday, November 10, 2010

### Math Scavenger Hunt Station 1

What is a perfect square? How do you use a square root? When you answer these questions please include the definitions of perfect squares and square roots.

Suzie 8-14 said...

Station 1:

Question 17:
54
27 x 2
9 x 3 x 2
3 x 3 x 3 x2

3x3 3x2 doesn't balance, so 54 is not a perfect square.

Question 18:

The mat is a square so all sides are equal.

14 x 14=196
A=196m.

Marysa873 said...

Station 1:

17. 54
/ \
9 6
/ \ / \
3 33 2
3x3 x 3x2=54
54 is not a perfect square because there is not enough 2's and 3's to put in to each basket.

18. area = s squared
area = 14 squared
area = (14x14)
area = 196m squared

Definitions:

Perfect Square- A square that has a square root with no decimal.

Square Root- The number that when multiplied by itself equals the value

Emily873 said...

Definitions:
PERFECT SQUARE- a number that is the product of two identical factors.It has an even number of prime factors.

SQUARE ROOT- a number that when multiplied by itself equals a given value.

Question #17:
54 is not a perfect square.

54=54
54= 2x27
54= 2x3x9
54= 2x3x3x3 (prime factors)

Question #18:
side length of mat= 14m

14m squared= 196m squared or

14mx14m= 196m squared

The area of the mat is 196m squared.

AlecM873 said...

Station I

#17
54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3
2 x 3 x 3 x 3 =54
54 is not a square number because there are more 2's than 3's in the prime factorization.

#18
a= sxs
a= 14x14
a= 196m²
The area of the floor mat is 196 m².

anna8-73 said...

Station 1.

Question 17
a) No, 54mm2 is not a perfect square.
54
2 x 27
2 3 x 9
2 x3 x3x3
- Perfect squares are multiplying a number by itself without decimals. e.g. 8x8=64
64 square root is 8

Question 18.
Area= sxs
area= 14cm2
area=14x14
area= 196 cm2

The area of the floormat is 196cm2.

Marie17 said...
This comment has been removed by the author.
Marie17 said...

Station 1:

Question 17
54
6 x 9
3x2 x 3x3

54 is not a perfect square because the prime factors aren't even.

Question 18
a = s x s
a = 14 x 14
a = 196m²

The mat is 196m² and is a square because all sides are equal.

Definitions:
Perfect square - The product of a number that is multiplied by itself.
Square root - A number when multiplied by itself is given a value.

john873 said...

Station 1:

Question 17:
54
6x9
3x2x3x3

54 is not a perfect square because there should be equal numbers on each basket

Perfect square- a perfect square are numbers with 2 factors that are the same

Question 18:
A= sxs or s squared
A= 14x14 or 14 squared
A= 196m squared

Nils816 said...

Station 1:
#17
54
27x2
9x3x2
3x3x3x2
(3x3)x(3x2) isn't balanced so 54 is not a perfect square.

#18
The key word in the question is square. That means that all sides are equal.
side x side= a
14x14=a
a=196m2

kyle817 said...

station 1

54
/ \
9 x 6
/ \ / \
3x3x2x3
2x3 3x3
54 is not a perfect square, because they dont equal.

14x14=a
a=196m2

Jasmin873 said...

Station 1

#17
54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3 = 54

It's not a perfect square because when you put it in a "basket" it is not equal. ---> 2x3 3x3

#18
a= sxs
a= 14x14 or 14 squared
a= 196m2

Kristel816 said...

Definitions:

Perfect Square- the product of the same two numbers

Square Root- a number that is multiplied by itself and equals a certain value

Question 17:

54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3

(2 x 3)+( 3 x 3) = 54
It is not a perfect square because there are not enough factors to make a multiplication set equal.

Question 18:

A = S x S
A = 14 x 14
A = 196 m²

S.S - The area of the floor mat is 196 m²

Casey 8-17 said...

Station 1:

Question 17:
54
6 x 9
3x3 x 3x2
54 is not a perfect square. Because there isn't an equal balance of 2's and 3's

Question 18:
a=sxs
a=14x14
a=196m2

Yes. The mat is a square because all sides are equal.

Definitions:
Perfect Square: a number that is the product of two identical factors. it has an even number of prime factors
Square Root:A number that when multiplied by itself equals a given value

Kim8-14 said...

Station 1:

17. 54
27 x 2
9 x 3 x 2
3 x 3 x 3 x 2
54= 3 x 3 x 3 x 2
54 is not a perfect square because the prime factors are not shared equally.

18. Side length of square mat is 14m.
Area= 14²
Area= 14m x 14m
Area= 196m²

Definitions
Perfect Square- the product of the same two numbers and has and equal number of prime factors.

Square Root- a number that when multiplied by itself equals a certain number.

kathryn8-17 said...
This comment has been removed by the author.
kathryn8-17 said...

Station 1

#17
54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3
2 x 3 x 3 x 3 =54
54 is not a square number because the 2's and the 3's aren't equal.

#18
a= sxs
a= 14x14
a= 196m²
The area of the floor mat is 196 m²

DEFINITIONS:
A Perfect Square is a square root of a number with no decimal or whole number.

A Square Root is a number when multiplied by itself is given a value.

Jomer873 said...

Station 1:
A)
54mm² is not a perfect square
54
2x27
2x3x9
2x3x3x3
Definition:
Perfect squares are multiplying a number by itself without decimals.

B)
*suppose to be a box*
_______
|196cm²| 14m the area of the floormat is 196cm²
|______|

Hazel873 said...

Perfect square- the product of the same two numbers. For example, 3x3=9, so 9 would be a perfect square.

Square roots- what number times itself equals the value. Square root is the inverse of squaring. For example, √25 would be 5, so 5 is the square root.

Question #17.
54
18 x 3
9 x 2 x 3
3 x 3 x 2 x3

54 is not a perfect square because 3x3 and 2x3 are not equal.

Question #18.
area=S x S
area=14m x 14m
area= 196m²

Melanie 16 said...

A perfect square is the product you get from multiplying the same number by itself once.

A square root is a number that when multiplied by itself equals a given value.

Question 17:
54
27 x 2
9 x 3 x 2
3 x 3 x 3 x2
(3x3) x (3x2) = 54

There aren't an equal amount of numbers to go equally into each "basket" therefore it is not a perfect square.

Question 18:
a= s x s
a= 14 x 14
a= 196m²

The area of the floor mat is 196m².

bennette8-17 said...

Station 1:

Definitions:
Perfect Square - is the product of the same 2 numbers. The answer should not have decimals.

Square Root - a number that when multiplied by itself equals a given number.

QUESTION 17:
54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3

(2 x 3)+(3 x 3) = 54
54 is not a perfect square because if you multiply the numbers in each basket, the product is not equal.

QUESTION 18:
a= sxs
a= 14x14
a= 196m²
The area of the floor mat in square metres is 196 m².

Jayvee816 said...
This comment has been removed by the author.
Jayvee816 said...

Station 1:

Perfect Square - the product of 2 same numbers that does not have decimals.

Square Roots - a number that when multiplied by itself equals a given value.

#17:
54
27x2
9x3x2
3x3x3x2

54 is not a perfect square because 3x3 and 3x2 is not balance.

#18:
A=SxS
A=14x14
A=196m squared

Alec 8-16 said...

Station 1:

Perfect Square has a square root of only whole number.

Square Root is a number multiplied by itself

54
6x9
2x3 3x3

This is not a perfect square because 2x3 does not equal 3x3

14x14=196 square meter is the area

Glenesse814 said...

Station 1:

17)
54
2x27
2x3x9
2x3x3x3

54 cannot be balanced so it is not a perfect square.

18)
14x14=196m(squared)

The area of the mat is 196m(squared).

Definitions:

Perfect Square - a number that is the product of two identical factors. It has an even number of prime factors.

Square Roots - A number that when multiplied by itself equals a given value.

Trish8-17 said...

Station 1

17)

54
/\
9 6
/\ /\
3x3x3x2

It is not a perfect square because the numbers are not equal,there are more 3's than 2's.

18)
a= s x s
a= 14 x 14
a= 196 m squared

The area of the mat is 196 m squared.

DEFINITIONS :
Perfect Square- A square that has a square root with no decimal.

Square Root- The number that when multiplied by itself equals the value

marilen17 said...

Perfect square - The product of a number that is multiplied by itself.
Square root - A number multiplied by itself that equals a whole number.

Question 17.
54
2x27
2x3x9
2x3x3x3
2x3x3x3=54
It is not a perfect square because it has an odd number of factors for 3. 2,3,3,3, can not be divided into 2 equal groups.

Question 18.
area = sxs
area = 14x14
area = 196cm squared
The area of the floor mat is 196cm squared.

meldrick73 said...

Station 1:

Number 17
54
/ \
9 6
/\ /\
3 3 3 2
3x3 x 3x2 = 54
3x3 and 3x2 aren't equal, so 54 is not a perfect square.

Number 18
A=s²
A=14²
A=(14x14)
A=196 m²

Definitions
Perfect square- a product of the same two factors
Square root- a number that when multiplied by itself equals a given value

Demvry8-17 said...

Station 1:

Perfect Square: Any rational number that is the square of another rational number. As in the square root of a perfect square is a whole number, for example, 0, 1, 4, 9, 16, 25, etc. are all perfect squares.

Square Root: A number that when it is multiplied by itself equals a given number.

Question 17:
54
/ \
6 x 9 = 54
/ \ / \
2 x 3 3x 3 = 54

Question 18: The floor mat is a square because:
14x14=196
√ = square root
√196 = 14

Hanna816 said...

Definitions:
Perfect Square-The product of 2 whole numbers that are the same

Square Roots-A number that, when multiplied by itself, equals a given value

Question 17.
54
9x6
3x3x6
3x3x3x2

54 is not a perfect square

Question 18
sxs=a
14x14=196
a=196m²

nicholasi said...

Question 17.
54
2x27
2x3x9
2x3x3x3
2x3x3x3
=54
54 is not a perfect square because 3x3 and 2x3 are not equal.
Question 18
#18
a= sxs
a= 14x14
a= 196m sqaured
The area of the floor mat is
196m squared

Sandra8-14 said...

Station 1:
Question 17:
54
27 x 2
9 x 3 x 2

three times three and three times two aren't balanced, so 54 isn't a perfect square.

Definition of a perfect square: a number when multiplied by itslef equals the value of a whole number.

Question 18:

All the sides are equal to fourteen because it is a square, so 14X14=196, so the area of the square is 196m2.

Paul M. 8-14 said...

STATION 1
Question 17

54
6x9
2x3x3x3
The fridge magnet, 54 is not a perfect square because its factors aren't shared equally.3x3 2x3

Question 18

Area
=14²
=14x14
=196m²
The area of the floor mat is 196m², therefore it is a perfect square because the square root of 196 is 14².

PERFECT SQUARE- is the answer to the same two numbers being multiplied by itself.

SQUARE ROOT- A number that when given by itself equals a given value.The symbol for square root is √.

Karen 8-17 said...

Question 17:
54
9x6
3x3 3x2
No because 3x3 3x3 is not equal

Question 18
14x14= 196
A=196

Perfect Squares
a number that is the product of the same two numbers.
Square Roots
a number that when multiplied multiply by itself equals a given value.

Karen816 said...

A perfect square is the product of the same two numbers.

A square root is a number that you multiply by itself and it equals a given value.

Question 17:
54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3
(2x3) + (3x3)
6 x 9 = 54
It's not a perfect square because the products will not be even if you multiply the numbers in each "basket."

Question 18:
a = s x s
a = 14 x 14
a = 196 m^2
The area is 196m^2

Breanna873 said...

Station 1.

Question 17
a) No, 54mm2 is not a perfect square.
54
2 x 27
2 3 x 9
2 x3 x3x3
- Perfect squares are multiplying a number by itself without decimals. e.g. 8x8=64
64 square root is 8

Question 18.
Area= sxs
area= 14cm2
area=14x14
area= 196 cm2

The area of the floormat is 196cm2.

Josell816 said...

Station 1:
54
/ \
27 x 2
/ \ /
9x3x2
/ \ /\
3x3x3x2

54 is not a perfect square because there isn't a even amount of 2's and 3's.

Question 18:
The area of the floor mat is 196m².
14m x 14m=196m²

Shenna 8-14 said...

Station 1:

17.

54
2 x 27
2 x 3 x 9
2 x 3 x 3 x 3

54 isn't a perfect square.

18.

A=sxs
A=14x14
A=196m squared