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Fraction Number Lines_ by hedongchenchen

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									Locating Numbers on a Number Line
     with our BBES 3rd Graders
          The top number in a
          fraction is called the

         numerator.
1
3           The bottom number in a
             fraction is called the

           denominator.
     “Denominator” starts with a “D” so
    look Down at the bottom of the fraction.
                      
    numerator
5
8   denominator
 The BIG number next a


                             1
                         8
     fraction is the
WHOLE NUMBER.

                             3

                         fraction
     What is the top
     number called?

3   The   numerator!

4    What is the bottom
      number called?
    The   denominator!
2   Name the denominator
       in this fraction.

9          9!
1   Name the numerator
      in this fraction.

5          1!
                    6
                1
  Name the
whole number.

                    9
         1!
2   Name the numerator
      in this fraction.

3          2!
                    2
                6
  Name the
whole number.

                    9
         6!
 7   Name the denominator
        in this fraction.

12         12!
0                                1




      1       2      3 4
Count the spaces between the WHOLE
   numbers on the number line.
0                                 1




       1      2         3 4
    Now add ONE to that number…
             4+1=   5
0                               1




    1        2         3 4
    That is your denominator!
           4+1=    5
   0                                              1



            1           2        3       4        5
            5           5        5       5        5
 So now just starting counting by 1s, starting with 1.
Your WHOLE number will have the same number as
          the numerator and denominator.
0                                        1



    Count the spaces between the WHOLE
       numbers on the number line.
    What is your denominator?
0    1    2    3   4    5   6    7   8   9   1
     9    9    9   9    9   9    9   9   9
         Is your denominator 9? Let’s see!

    What’s wrong with this?
    9/9 should be the second whole number!
         We forgot to add 1 to our count!
0    1   2    3 4     5    6 7     8    9    10
    10   10   10 10   10   10 10   10   10   10


         That’s better! 

 0                   1




What is the DENOMINATOR
     of your fraction?
0                                   1




           1            2
Count the spaces between the WHOLE
numbers on the number line and add 1!
 0                            1




          1         2
So the denominator is 2 + 1 = 3!
 0                                    1

                                      3
                                      3
              1           2
              3           3
Let’s write in the correct fractions now…
 0                   1




What is the DENOMINATOR
     of your fraction?
0 1 2 3 4 5 6 7 8 9   10 11 12 13 14 15   1




First count the spaces in
between, and then add 1!
0 1 2 3 4 5 6 7 8 9   10 11 12 13 14 15   1




     So 15 + 1 = 16!
 Your denominator is 16!
0                             1




    Now fill in the correct
          fractions!
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
0    16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
                                                    1
 0                                                  16
16                                                  16




     Nice work!                             
 0                   1




What is the DENOMINATOR
     of your fraction?
  0     1      2       3           1

Count up the spaces in between the
        whole numbers…

Now add 1!         So 3 + 1 = 4!
0       1     2     3        1
0
4
        4     4     4        4
                             4




    Fill in the fractions!
 2                         3


It doesn’t matter if the WHOLE
    NUMBERS are 0 and 1….
     They might be 2 & 3!
  2                              3




            1          2
You still count the spaces and add 1…
2                             3




         1          2
(2 + 1 = 3 is the denominator!)
 2     2
           1
           3     2   2
                     3
                            3




But you add the WHOLE NUMBER in
        front of the fractions!
  7                 8




The whole numbers might
       be 7 & 8!
  7                         8

       1      2      3
You still count the spaces
         and add 1!
  3 + 1 = 4 is the denominator!
       1      2       3
7      4      4       4    8



    Is this correct?
      What did I forget?
          1       2       3
7     7   4   7   4   7   4   8



I forget the WHOLE NUMBERS!
    Let’s fix it together!
      1     2   3     4   5     6    7




First find the denominator of your fractions.
Count the spaces and add 1!
     7 + 1 = 8 is your denominator!
      1   2   3   4   5   6   7
      8   8   8   8   8   8   8
0                                 8
8                                 8




    Now fill in your fractions!
    1       2   3   4       5   6       7
    8       8   8   8       8   8       8
0                                           8
        5       7       1           3       8
8
        8       8       8           8




Next, correctly fill in the answers
   for the fractions at which
  A, B, C, and D are marked.
          1       2       3       4




First find the denominator of your fractions.
Count the spaces and add 1!
     4 + 1 = 5 is your denominator!
        1     2     3     4
        5     5     5     5
0                                 5
5                                 5




    Now fill in your fractions!
          1       2   3   4
          5       5   5   5
0                                5
5     2       4       3   1      5
      5       5       5   5




   Finally, correctly fill in the
answers for the fractions at which
   A, B, C, and D are marked.
     1   2   3   4   5   6   7   8   9   10   11




First find the denominator of your fractions.
Count the spaces and add 1!
    11 + 1 = 12 is your denominator!
       1    2   3    4     5    6    7    8    9   10 11
      12   12   12   12   12   12   12   12   12   12 12
 0                                                         12
12                                                         12




     Now fill in your fractions!
      1    2   3    4      5    6    7    8    9        10 11
     12   12   12   12    12   12   12   12   12        12 12
 0         5             11         10              9           12
12        12             12         12             12           12



 Finally, correctly fill in the answers
      for the fractions at which
     A, B, C, and D are marked.
A quiz will be handed out to you. Do
  your best, and TAKE YOUR TIME!
Remember to use the strategies we
         learned as a class.

           Good luck! 

								
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