Division

							          Division

A way to introduce and practice
    division number stories
Lets review some key vocabulary
           to warm up.
  QUOTIENT
  The answer to a
  division problem
                                       REMAINDER

                       24 R 4          The number
                                       left over after
                                       a quotient is
                     5 124             found




                                DIVIDEND
DIVISOR
                                The number
The number you                  being divided
are dividing by
4 ways to represent division
         problems


12 246
                246    12

    246 / 12
                      246
                      12
  Let’s try some
problems together!
 Division Problems & Fact Families
      Friends     Cookies per friend   Cookies in all




Division Story:
    “I have 56 cookies and 8 friends, how many
    whole cookies can each friend have?”
Division Problems & Fact Families
     Friends   Cookies per friend   Cookies in all

       8                                 56

Think Aloud:
 “I have 56 cookies
 and 8 friends, how
 many whole
                               Whoa!
 cookies can each
 friend have?”          That looks like a fact
                                family!
 Division Problems & Fact Families
       Friends      Cookies per friend   Cookies in all

          8                                   56



If you know your fact
   families, small          Think Aloud:
   division problems like     “8 times ? equals 56.”
   this one can be easy.          8 x ? = 56
Division Problems & Fact Families
      Friends   Cookies per friend   Cookies in all

        8               7                 56

                        Think Aloud:
 ? x 8 = 56
                              8 x 7 = 56
 8 x ? = 56
                                      7
 56     8 = ?                    8   56

 56     ? = 8
Let’s try another
problem together!
 Division Problems & Fact Families
      Tables      Students per table   students in all




Division Story:
    “There are 33 students. Each table can seat
    6 students. How many tables are needed?”
 Division Problems & Fact Families
      Tables         Students per table    students in all

                             6                  33


Think Aloud:
  “There are 33                           6 33
  students. Each
  table can seat 6
  students. How                  This is similar to a
  many tables are                  fact family, but
  needed?”                         not exact.
 Division Problems & Fact Families
       Tables       Students per table    students in all

                            6                  33


Think Aloud:
  “I need to squish 6                    6 33
  into 3 (no fractions
  allowed). That
  won’t work so I’ll
  put a place holder
  on top.”
 Division Problems & Fact Families
       Tables         Students per table    students in all

                              6                  33


Think Aloud:                                    5
  “6 x 5 = 30.                             6 33
  That’s close to
  33!” I put the 5                           30
  next to the place
  holder. The 30
  goes below the
  33.
 Division Problems & Fact Families
      Tables    Students per table    students in all

                        6                  33


                                          5
Think Aloud:
                                     6 33
 “Now I subtract”
 33 – 30 = 3
                                      - 30
                                         3
 Division Problems & Fact Families
          Tables            Students per table            students in all

             6                         6                        33


                           This is not my final answer.        5 R3



REMEMBER, THE QUESTION ASKED:
                                                           5 tables with 3
“How many tables are needed?”                               students left
                                                                over!

I need 6 tables to fit all 33 students!
Ready for a
 challenge!
  How to Solve a Division Problem
                            Think Aloud:
      5 124                   “I have one hundred
                              twenty four cookies
                              and five friends, how
                              many whole cookies
                              can each friend
Whoa! Those are               have?”
 really large numbers,
 lets take it one step at
 a time.
How to Solve a Division Problem
                Think Aloud:
                  “I have one cookie
  5 124           and five friends, how
                  many whole cookies
                  can each friend
                  have?”

                Sadly, I don’t have
                  enough cookies.
How to Solve a Division Problem
                Because I don’t have
                  enough cookies to
  5 124           share I have to put
                  the cookie on the
                  shelf.

                The cookie becomes
                  my place holder.
How to Solve a Division Problem
                Think Aloud:
                  “I have twelve cookie
  5 124           and five friends, how
                  many whole cookies
                  can each friend
                  have?”

                Each friend can have 2
                  cookies ( 5 x 2 = 10)
How to Solve a Division Problem
      2                2 x 5 = 10
  5 124
                The 2 is placed above
    10            the 2 in the dividend.

                10 is written below the
                  12.

                 Neatness is important!
How to Solve a Division Problem
      2         Now subtract 12 – 10.
  5 124
                      12 – 10 = 2
   - 10
      2
How to Solve a Division Problem
      2         Bring down the 4 next to
                  the 2.
  5 124
   - 10
      24
How to Solve a Division Problem
      2         Now I have another
                   cookie story to ask
  5 124            myself.
   - 10         “I have twenty four
                   cookies and five
      24           friends, how many
                   whole cookies can
                   each friend have?”
                Each friend can have 4
                   cookies. ( 5 x 4 = 20)
How to Solve a Division Problem
      24               5 x 4 = 20
                The 4 is placed above
  5 124           the 4 in the dividend.
   - 10
                20 is written below the
      24          24.
      20
                 Neatness is important!
How to Solve a Division Problem
      24         Now subtract 24 – 20.
  5 124
                      24 – 20 = 4
   - 10
       24
     - 20
        4
How to Solve a Division Problem
      24    R4   Think Aloud:
                   “I have no more
  5 124            friends to share my
   - 10            five cookies with.”

       24          “I have 4 cookies left
     - 20          over.”

        4
How to Solve a Division Problem
      24    R4      My final answer is:
  5 124
                         24 R 4
   - 10
       24        When I share my 124
                   cookies with my five
     - 20          friends, each friend
                   will get 24 cookies. I
        4          will have 4 cookies
                   left over.
Try some of these
   on your own!
        Practice Problems
1.               4.
     2 18             7 50

2.               5.
     3 29             4 612

3.               6.
     5 430            6   200
     Practice Problem Answers
1.      9        4.      7 R1
     2 18             7 50

2.      9 R2     5.     153
     3 29             4 612

3.      86       6.        33 R 2
     5 430            6   200