This is a classroom blog hub for Grade 8 students at Sargent Park School.

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.

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 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

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.

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 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

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.

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

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

## 37 comments:

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.

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

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.

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.

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.

Station 1:

Question 1754

6 x 9

3x2 x 3x3

54 is

nota perfect square because the prime factors aren't even.Question 18a = 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.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

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

station 1

54

/ \

9 x 6

/ \ / \

3x3x2x3

2x3 3x3

54 is not a perfect square, because they dont equal.

14x14=a

a=196m2

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

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

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

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.

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:APerfect Squareis a square root of a number with no decimal or whole number.ASquare Rootis a number when multiplied by itself is given a value.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

|______|

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

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.

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

nota 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.

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

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

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.

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

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.

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

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

Definitions:

Perfect Square-The product of 2 whole numbers that are the same-A number that, when multiplied by itself, equals a given valueSquare RootsQuestion 17.54

9x6

3x3x6

3x3x3x2

54 is not a perfect square

Question 18sxs=a

14x14=196

a=196m²

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

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.

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 √.

Question 17:

54

9x6

3x3 3x2

No because 3x3 3x3 is not equal

Question 18

14x14= 196

A=196

Perfect Squaresa number that is the product of the same two numbers.

Square Rootsa number that when multiplied multiply by itself equals a given value.

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

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.

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

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

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