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.


37 comments:

  1. 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.

    ReplyDelete
  2. 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

    ReplyDelete
  3. 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.

    ReplyDelete
  4. 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.

    ReplyDelete
  5. 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.

    ReplyDelete
  6. This comment has been removed by the author.

    ReplyDelete
  7. 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.

    ReplyDelete
  8. 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

    ReplyDelete
  9. 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

    ReplyDelete
  10. station 1

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

    14x14=a
    a=196m2

    ReplyDelete
  11. 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

    ReplyDelete
  12. 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

    ReplyDelete
  13. 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

    ReplyDelete
  14. 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.

    ReplyDelete
  15. This comment has been removed by the author.

    ReplyDelete
  16. 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.

    ReplyDelete
  17. 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
    |______|

    ReplyDelete
  18. 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

    ReplyDelete
  19. 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.

    ReplyDelete
  20. 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.

    ReplyDelete
  21. This comment has been removed by the author.

    ReplyDelete
  22. 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

    ReplyDelete
  23. 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

    ReplyDelete
  24. 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.

    ReplyDelete
  25. 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

    ReplyDelete
  26. 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.

    ReplyDelete
  27. 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

    ReplyDelete
  28. 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

    ReplyDelete
  29. 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

    ReplyDelete
  30. 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

    ReplyDelete
  31. 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.

    ReplyDelete
  32. 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 √.

    ReplyDelete
  33. 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.

    ReplyDelete
  34. 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

    ReplyDelete
  35. 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.

    ReplyDelete
  36. 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

    ReplyDelete
  37. 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

    ReplyDelete

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