Wednesday, November 10, 2010

Math Scavenger Hunt Station 4

Question 1

Find all the whole numbers who have a square root between 6 and 7.  What do they all have in common?

Estimate the square roots using fractions for all of the whole numbers from the previous question.

Question 2

Using your perfect square chart estimate the square roots of the following numbers

10

30

112

350

28 comments:

  1. [6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=7 6/13
    43=7 7/13
    44=7 8/13
    45=7 9/13
    46=7 10/13
    47=7 11/13
    48=7 12/13

    [3 squared= 9 squared] 10=3.2 [4 squared=16 squared]
    [5 squared= 25 squared] 30=5.5 [6 squared=36 squared]
    [10 squared=100 squared ] 112=10.6 [11 squared= 121 squared]
    [18 squared=324 squared] 350=19.1 [19 squared=361 squared ]

    ReplyDelete
  2. Station 4:

    Question 1:
    The whole numbers between the square root of 6 and 7 are

    37 =6 (1/13)
    38 =6 (2/13)
    39 =6 (3/13)
    40 =6 (4/13)
    41 =6 (5/13)
    42 =7 (6/13)
    43 =7 (7/13)
    44 =7 (8/13)
    45 =7 (9/13)
    46 =7 (10/13)
    47 =7 (11/13)
    48 =7 (12/13)

    Question 2:
    10=3.1
    30=5.4
    112=10.7
    350=19.1

    Also done by Emily.

    ReplyDelete
  3. Question 1:

    37,38,39,40,41,42,43,44,45,46,47,48
    are the whole numbers with a square root between 6 and 7.

    square root of 37=6 1/13
    square root of 38=6 2/13
    square root of 39=6 3/13
    square root of 40=6 4/13
    square root of 41=6 5/13
    square root of 42=6 6/13
    square root of 43=6 7/13
    square root of 44=6 8/13
    square root of 45=6 9/13
    square root of 46=6 10/13
    square root of 47=6 11/13
    square root of 48=6 12/13

    Question 2:
    a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

    b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

    c)100 (10x10) 112 (10.5x10.5)
    121 (11x11)

    d)121 (11x11) 150 (12.2x12.2)
    144 (12x12)

    ReplyDelete
  4. Station 4:

    Question 1:
    The whole numbers between 6 and 7 are

    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=6 6/13
    43=6 7/13
    44=6 8/13
    45=6 9/13
    46=6 10/13
    47=6 11/13
    48=6 12/13

    Question 2:
    10= 3.1
    30= 5.4
    112= 10.7
    350= 19.1

    ReplyDelete
  5. Station 4:
    Question 1-
    6=Square Root of 36
    7=Square Root of 49

    So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

    Square Root of 37 is 6 1/13
    Square Root of 38 is 6 2/13
    Square Root of 39 is 6 3/13
    Square Root of 40 is 6 4/13
    Square Root of 41 is 6 5/13
    Square Root of 42 is 6 6/13
    Square Root of 43 is 6 7/13
    Square Root of 44 is 6 8/13
    Square Root of 45 is 6 9/13
    Square Root of 46 is 6 10/13
    Square Root of 47 is 6 11/13
    Square Root of 48 is 6 12/13

    Question 2-

    a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

    b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

    c) 100 (10x10) 112 (10.6x10.6)
    11 (121x121)

    d) 324 (18x18) 350 (18.7x18.7)
    361 (19x19)

    ReplyDelete
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    ReplyDelete
  7. Station 4
    1.
    [36](37,38,39,40,41,42,
    43,44,45,46,47,48)[48]

    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=6 6/13
    43=6 7/13
    44=6 8/13
    45=6 9/13
    46=6 10/13
    47=6 11/13
    48=6 12/13

    2.
    [9] 10 [16]
    3 3.2 4
    10=3.2

    [25] 30 [36]
    5 5.5 6
    30=5.5

    [100] 112 [121]
    10 10.6 11
    112=10.6

    [324] 350 [361]
    18 18.6 19
    350=18.7

    ReplyDelete
  8. Question 1:

    [6² = 36] 37, 38, 39, 40, 41, 42, 43, 44, 45, 46. 47, 48 [7² = 49]

    They are all 2 digit numbers
    All of them are non perfect squares

    37 = 6 1/13
    38 = 6 2/13
    39 = 6 3/13
    40 = 6 4/13
    41 = 6 5/13
    42 = 6 6/13
    43 = 6 7/13
    44 = 6 8/13
    45 = 6 9/13
    46 = 6 10/13
    47 = 6 11/13
    48 = 6 12/13

    Question 2:

    9-(3x3) [10]= 3.1 16-(4x4)

    25-(5x5) [30]= 5.5 36-(6x6)

    100-(10x10) [112]= 10.6 121-(11x11)

    324-(18x18) [350]= 18.7 361-(19x19)

    ReplyDelete
  9. Station 4:
    Question 1-
    6=Square Root of 36
    7=Square Root of 49

    So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

    Square Root of 37 is 6 1/13
    Square Root of 38 is 6 2/13
    Square Root of 39 is 6 3/13
    Square Root of 40 is 6 4/13
    Square Root of 41 is 6 5/13
    Square Root of 42 is 6 6/13
    Square Root of 43 is 6 7/13
    Square Root of 44 is 6 8/13
    Square Root of 45 is 6 9/13
    Square Root of 46 is 6 10/13
    Square Root of 47 is 6 11/13
    Square Root of 48 is 6 12/13

    Question 2-

    a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

    b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

    c) 100 (10x10) 112 (10.6x10.6)
    11 (121x121)

    d) 324 (18x18) 350 (18.7x18.7)
    361 (19x19)

    ReplyDelete
  10. [6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

    square root of 37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=6 6/13
    43=6 7/13
    44=6 8/13
    45=6 9/13
    46=6 10/13
    47=6 11/13
    48=6 12/13


    (3 squared= 9 squared) 10=3.2
    (4 squared=16 squared)
    (5 squared= 25 squared) 30=5.5
    (6 squared=36 squared)
    (10 squared=100 squared) 112=10.6 (11 squared= 121 squared)
    (18 squared=324 squared) 350=18.1 (19 squared=361 squared)

    ReplyDelete
  11. QUESTION 1
    (6²= 36) 37 38 39 40 41 42 3 45 46 47 48 (7²= 49)

    37=6 1/13,6.1
    38=6 2/13,6.2
    39=6 3/13,6.3
    40=6 4/13,6.4
    41=6 5/13,6.5
    42=6 6/13,6.6
    43=6 7/13,6.7
    44=6 8/13,6.8
    45=6 9/13,6.9
    46=6 10/13,6.10
    47=6 11/13,6.11
    48=6 12/13,6.12
    49=6 13/13,7

    QUESTION 2
    a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

    b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

    c) 100 (10x10) 112 (10.6x10.6)
    11 (121x121)

    d) 324 (18x18) 350 (18.7x18.7)
    361 (19x19)

    ReplyDelete
  12. Station 4
    The whole number between6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48
    They have a whole number with decimal for there square root.


    3x3=9 10=4.1/7 4x4=16
    5x5=25 30=5.5/11 6x6=36
    10x10=100 112=10.12/21 11x11=121
    18x18=324 350=18. 26/37

    ReplyDelete
  13. Station 4:

    Question 1:

    6x6=36 7x7=49
    37=6 1/13 43=6 7/13
    38=6 2/13 44=6 8/13
    39=6 3/13 45=6 9/13
    40=6 4/13 46=6 10/13
    41=6 5/13 47=6 11/13
    42=7 6/13 48=6 12/13

    They are all between 36 and 49. This are not all perfect squares.

    Question 2:

    10=3.2(3x3=9)(4x4=16)

    30=5.5(5x5=25)(6x6)=36

    112=10.6(10x10=100)(11x11=121)

    350=18.8(18x18=324)(19x19=361)

    ReplyDelete
  14. Station 4

    Question 1:
    (6² = 36) - (7² = 49)
    37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48

    36 = 6
    37 = 6 1/13
    38 = 6 2/13
    39 = 6 3/13
    40 = 6 4/13
    41 = 6 5/13
    42 = 6 6/13
    43 = 6 7/13
    44 = 6 8/13
    45 = 6 9/13
    46 = 6 10/13
    47 = 6 11/13
    48 = 6 12/13
    49 = 7

    Question 2:
    (9 = 3²) 10 = 3.1 (16 = 4²)
    (25 = 5²) 30 = 5.5 (36 = 6²)
    (100 = 10²) 112 = 10.6 (121 = 11²)
    (324 = 18²) 350 = 18.7 (361 = 19²)

    ReplyDelete
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    ReplyDelete
  16. Station 4:

    Question 1:

    (6²=36) 37,38,39,40,41,42,43,44,45, 46,47,48 (7²=49)

    37 = 6 1/13
    38 = 6 2/13
    39 = 6 3/13
    40 = 6 4/13
    41 = 6 5/13
    42 = 6 6/13
    43 = 6 7/13
    44 = 6 8/13
    45 = 6 9/13
    46 = 6 10/13
    47 = 6 11/13
    48 = 6 12/13

    Question 2:

    (9=3²) 10=3.1 (16=4²)
    (25=5²) 30=5.4 (36=6²)
    (100=10²) 112=10.5 (121=11²)
    (324=18²) 350=18.7 (361=19²)

    ReplyDelete
  17. #1
    6x6 = 36
    7x7 = 49
    ( 36 ) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 ( 49 )

    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=7 6/13
    43=7 7/13
    44=7 8/13
    45=7 9/13
    46=7 10/13
    47=7 11/13
    48=7 12/13

    All of them are not perfect squares, which means if you try to find it's square root, the answer would have a whole number and decimals.
    #2
    a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

    b) 25 (5x5) 30 (5.5x5.5) 36 (6x6)

    c) 100 (10x10) 112 (10.6x10.6)
    121 (11x11)

    d) 324 (18x18) 350 (18.7x18.7)
    361 (19x19)

    ReplyDelete
  18. Question 1

    between the square root of 6 and 7
    6x6 =36
    7x7=49

    = 37, 38,39, 40, 41, 42, 43, 44, 45,46,47,48=


    square root of 37=6 1/13
    square root of 38=6 2/13
    square root of 39=6 3/13
    square root of 40=6 4/13
    square root of 41=6 5/13
    square root of 42=6 6/13
    square root of 43=6 7/13
    square root of 44=6 8/13
    square root of 45=6 9/13
    square root of 46=6 10/13
    square root of 47=6 11/13
    square root of 48=6 12/13

    Question 2

    (9 = 3²) 10 = 3.1 (16 = 4²)
    (25 = 5²) 30 = 5.5 (36 = 6²)
    (100 = 10²) 112 = 10.6 (121 = 11²)
    (324 = 18²) 350 = 18.7 (361 = 19²)

    ReplyDelete
  19. Question 1:
    The whole numbers between 6 and 7 are:
    37 =6 1/13
    38 =6 2/13
    39 =6 3/13
    40 =6 4/13
    41 =6 5/13
    42 =7 6/13
    43 =7 7/13
    44 =7 8/13
    45 =7 9/13
    46 =7 10/13
    47 =7 11/13
    48 =7 12/13

    Question 2:
    (9) 10 (16)
    (3) 3.2 (4)
    10=3.2

    (25) 30 (36)
    (5) 5.5 (6)
    30=5.5

    (100) 112 (121)
    (10) 10.6 (11)
    112=10.6

    (324) 350 (361)
    (18) 18.6 (19)
    350=18.7

    ReplyDelete
  20. Question #1
    The whole numbers that have a square root between 6 and 7 are: 37,38,39,40,41,42,43,44,45,46,47,48

    √37=6 1/13
    √38=6 2/13
    √39=6 3/13
    √40=6 4/13
    √41=6 5/13
    √42=6 6/13
    √43=6 7/13
    √44=6 8/13
    √45=6 9/13
    √46=6 10/13
    √47=6 11/13
    √48=6 12/13

    Question #2
    9(3²) 10 16(4²)
    10 is closer to 9.
    My estimate would be:3.1

    25(5²) 30 36(6²)
    30 is closer to 25.
    My estimate:5.4

    100(10²) 112 121(11²)
    112 is closer to 121.
    My estimate:10.6

    324(18²) 350 361(19²)
    350 is closer to 361.
    My estimate:18.7

    ReplyDelete
  21. Question 1 .
    The whole numbers between 36(6x6)and 49(7x7) is 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48.
    √37=6 1/13
    √38=6 2/13
    √39=6 3/13
    √40=6 4/13
    √41=6 5/13
    √42=6 6/13
    √43=6 7/13
    √44=6 8/13
    √45=6 9/13
    √46=6 10/13
    √47=6 11/13
    √48=6 12/13

    Question 2 .
    (9 = 3²) 10 = 3.1 (16 = 4²)
    (25 = 5²) 30 = 5.5 (36 = 6²)
    (100 = 10²) 112 = 10.6 (121 = 11²)
    (324 = 18²) 350 = 18.7 (361 = 19²)

    ReplyDelete
  22. QUESTION 1
    (6²=36) 37 38 39 40 41 42 43 44 45 46 47 48 (7²=49)

    36=6
    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=6 6/13
    43=6 7/13
    44=6 8/13
    45=6 9/13
    46=6 10/13
    47=6 11/13
    48=6 12/13
    49=7 13/13

    QUESTION 2

    (3² = 9²) 3.__x3.__=10 (4² = 16²)

    (5² = 25²) 5.__x5.__=30 (6² = 36²)

    (10²=100²) 10.__x10.__=112 (11²=121²)

    (18²=324²) 18.__x18.__=350 (19² = 361²)

    ReplyDelete
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    ReplyDelete
  24. Question 1:
    (6² = 36) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 (7² = 49)

    36 = 6
    37 = 6 1/13
    38 = 6 2/13
    39 = 6 3/13
    40 = 6 4/13
    41 = 6 5/13
    42 = 6 6/13
    43 = 6 7/13
    44 = 6 8/13
    45 = 6 9/13
    46 = 6 10/13
    47 = 6 11/13
    48 = 6 12/13
    49 = 7

    Question 2:
    10;
    (9 = 3²) [10 = 3.1] (16 = 4²)
    30;
    (25 = 5²) [30 = 5.5] (36 = 6²)
    112;
    (100 = 10²) [112 = 10.6] (121 = 11²)
    350;
    (324 = 18²) [350 = 18.7] (361 = 19²)

    ReplyDelete
  25. the square root between 6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48

    37=1/13
    38=2/13
    39=3/13
    40=4/13
    41=5/13
    42=6/13
    43=7/13
    44=8/13
    45=9/13
    46=10/13
    47=11/13
    48=12/13
    49=13/13

    Question 2
    10=(9)3.1(16)
    30=(25)5.5(36)
    112=(100)10.6(121)
    350=(324)18.7(361)

    ReplyDelete
  26. Question 1:

    37
    38=6 1/13
    39=6 2/13
    40=6 3/13
    41=6 5/13
    42=7 6/13
    43=7 7/13
    44=7 8/13
    45=7 9/13
    46=7 10/13
    47=7 11/13
    48=7 12/13

    Question 2:
    10=3.1
    30=5.4
    112=10.7
    350=19.1

    ReplyDelete
  27. Question 1:

    37,38,39,40,41,42,43,44,45,46,47,48
    are the whole numbers with a square root between 6 and 7.

    square root of 37=6 1/13
    square root of 38=6 2/13
    square root of 39=6 3/13
    square root of 40=6 4/13
    square root of 41=6 5/13
    square root of 42=6 6/13
    square root of 43=6 7/13
    square root of 44=6 8/13
    square root of 45=6 9/13
    square root of 46=6 10/13
    square root of 47=6 11/13
    square root of 48=6 12/13

    Question 2:
    a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

    b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

    c)100 (10x10) 112 (10.5x10.5)
    121 (11x11)

    d)121 (11x11) 150 (12.2x12.2)
    144 (12x12)

    ReplyDelete
  28. Station 4

    1.
    37,38,39,40,41,42,43,44,45,46,47,48

    37=6 1/13
    38=6 2/13
    39=6 3/13
    40=6 4/13
    41=6 5/13
    42=6 6/13
    43=6 7/13
    44=6 8/13
    45=6 9/13
    46=6 10/13
    47=6 11/13
    48=6 12/13

    2.
    10=3.1
    30=5.4
    112= 10.7
    350= 19.1

    ReplyDelete

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