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					         Decimals


How to Write Decimals through a
Conceptual Understanding of What
         Decimals Are
What is a decimal?
         Turn to your partner
         and explain what
         you know about
         decimals.
           What is a decimal?
   Definition of decimal (link)
When do we use decimals?

 Take a few seconds to think about
 when you have seen decimals.
   When do we use decimals?
               Temperatures



Percentages
                    Racing Times




Measurements            Money
           Writing Decimals
       There are different ways to
        represent these numbers.
   Flat   one whole    1   1.0
        Writing Decimals
    There are different ways to
     represent these numbers.
 Flat   one whole   1    1.0
                      1
 Rod    one-tenth   10   0.1
        Writing Decimals
    There are different ways to
     represent these numbers.
 Flat   one whole       1     1.0
                          1
 Rod    one-tenth       10    0.1
                          1
 Unit   one-hundredth   100   0.01
On your place mat, show
       one-tenth.
            Units   Tenths Hundredths
     On your place mat, show
            one-tenth.
How many blocks are in   Units   Tenths Hundredths
the units column?
     On your place mat, show
            one-tenth.
How many blocks are in   Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
      On your place mat, show
             one-tenth.
How many blocks are in        Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
Can you think of another
way to represent one-tenth?
      On your place mat, show
             one-tenth.
How many blocks are in        Units   Tenths Hundredths
the units column?
How many tenths are in
the tenths column?
Can you think of another
way to represent one-tenth?
Now show two-tenths on your
     place value mats.
              Units   Tenths Hundredths
Now show two-tenths on your
     place value mats.
              Units   Tenths Hundredths
      Now show two-tenths on your
           place value mats.
   How do you write        Units   Tenths Hundredths
    two-tenths as a
    decimal? Write it.
   Turn to your partner
    and explain to her or
    him how you know
    that what you wrote
    means two-tenths.
      Now show two-tenths on your
           place value mats.
   How do you write     Units   Tenths Hundredths
    two-tenths as a
    decimal? Write it.
   0.2
         What does seven-tenths
               look like?
   Represent seven-tenths
    with the blocks and as
    a decimal.
         What does seven-tenths
               look like?
   Represent seven-tenths
    with the blocks and as 0.7
    a decimal.
          Writing Decimals
    Represent one-hundredth with
     your blocks and write it as a
              decimal.
   Flat   one whole       1     1.0

                            1
   Rod    one-tenth       10    0.1
                            1
   Unit   one-hundredth   100
          Writing Decimals
    Represent one-hundredth with
     your blocks and write it as a
              decimal.
   Flat   one whole       1     1.0

                            1
   Rod    one-tenth       10    0.1
                            1
   Unit   one-hundredth   100   0.01
 Turn to your partner and
explain why the decimal you
      wrote represents
       one-hundredth.
         Review of the values of the
                  places.
2,        3        4      6
thousands hundreds tens   ones
         Review of the values of the
                  places.
2,        3        4      6.     ___ ___              ___
thousands hundreds tens   ones   tenths   hundredths thousandths
         Review of the values of the
                  places.
2,        3        4      6.     ___ ___              ___
thousands hundreds tens   ones   tenths   hundredths thousandths


The decimals follow the same pattern as whole
numbers in that each time we move to the right
the place is ten times smaller.
        Review of the values of the
                 places.
 2,         3          4      6.     ___ ___               ___
                              ones
                       tens          tenths
            hundreds                          hundredths
thousands                                                  thousandths




Some people see the pattern better when
they see it this way.
Remember each place has a name.
Review of the values of the
         places.
This can also be organized into a chart.
       Think back to fractions…
   Remember how thirteen-hundredths
    can be represented as
     13
    100
       Think back to fractions…
   Remember how thirteen-hundredths can be
    represented as
     13   1   3
           
    100 10 100
       Think back to fractions…
   Remember how thirteen-hundredths can be
    represented as
     13   1   3
               0.13
    100 10 100

Who can explain why this decimal is correct?
                     0.10
   What does this decimal represent?

Turn and share with your partner.
Who can tell what your partner said?
Do you agree with your partner?
                       0.20
   What does this decimal represent?

    Write your explanation in your math
    notebook. Be prepared to share with the
    whole class.
          Writing Decimals
      There are different ways to
        represent this number.
                             1
   Rod     one-tenth       10
                                  0.1 0.10

Show as many ways as you can to represent
this number with the blocks.
Find as many ways as you can to
represent each of these numbers
  as fractions and as decimals.
Six-hundredths       Nine-tenths


Fifteen-hundredths   Thirty-five-hundredths


Four-tenths          Fifty-hundredths
        A Decimal Game to Enjoy!

Builder Ted needs you to put decimals in order to
  save his dog
Beat the clock to write the decimal
Play against the computer or a partner to make the
  largest decimal
    More Advanced Decimal Games
   Add decimals but don't go over 2.0
   Play tug-of-war by comparing decimals
   Race around a track using multiplication, addition,
    and subtraction
   See how decimals and fractions are related
      Interactive Place Value Mat


http://www.arcytech.org/java/b10blocks/b10blocks.html
That little point is
 very important!
          Remember that little
          dot can mean the
          difference between
          a penny and a
          dollar or more.
          $0.01  $1.00

				
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posted:3/31/2013
language:English
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