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Division
  A Quick Review!
Vocabulary
          Quotient: the
       answer to a division
            problem                     Dividend: the
                         4              number being
                                           divided
                      9 36
   Divisor: the
number that divides
   the dividend


   The problem shown above
   can also be written like this:   36 ÷ 9 = 4
48 ÷ 6 = 8

Which number is the dividend?

Which number is the quotient?
11
     12 132

Which number is the divisor?

Which number is the quotient?
Division


• When dividing, think sharing equally.
• Let’s try dividing by placing the same
  number of items in groups.
• Grab your goldfish crackers...
Let’s say you have 15 goldfish crackers. You want to share
 these crackers with 3 friends. Each friend needs to have
 the same number of crackers. How many will each get?




   Friend 1             Friend 2              Friend 3
Let’s say you have 15 goldfish crackers. You want to share
 these crackers with 3 friends. Each friend needs to have
 the same number of crackers. How many will each get?




    Friend 1             Friend 2               Friend 3




     Each friend gets 5 crackers with none leftover.
Let’s try another example

Jayne wants to share her 19 crackers with 4
friends. If each friend gets the same number
     of crackers, how many will each get?
Jayne wants to share her 19 crackers with 4 friends. If
 each friend gets the same number of crackers, how many
                       will each get?




Friend 1          Friend 2            Friend 3          Friend 4




                              4r3
                        4    19
  Each friend gets 4 crackers. In this case, there will be 3
    crackers left over. This number, 3, is the remainder.
Another Division Strategy

You probably remember that multiplication is repeated
                    addition.

          Division can also be thought of as
                 repeated subtraction!
18 ÷ 3
     1. Whatever the dividend is, keep
subtracting the divisor until you get to 0 or
  an answer that is less than your divisor.


2. The amount of times you subtracted is
  your quotient or your answer!! Yeah!!
18 ÷ 3

  1. Start with 18 goldfish crackers.


2. How many times did you subtract 3?
18
 Repeated                  -3    1
                                     To get the answer, count
                                     the number of times you

Subtraction                15              subtracted 3.

                           -3    2

                           12
                            -3   3
Keep subtracting 3 until
   you reach zero!          9
                           -3
                                 4
                            6
                           -3    5

                            3
                           -3    6
                                         18 ÷ 3 = 6
                           0
21 ÷ 4

  1. Start with 21 goldfish crackers.


2. How many times did you subtract 4?
Repeated                         21        To get the answer, count
                                            the number of times you
                                  -4
Subtraction                             1         subtracted 4.

                                  17
                                  -4    2


 Keep subtracting 3 until
                                  13
    you reach zero!                -4   3

                                   9
                                  -4
                                        4

Since you can’t subtract 4 from    5
 1, this number becomes your      -4    5
           remainder.
                                   1          21 ÷ 4 = 5 r 1
Use repeated subtraction to solve
the following division problems on
            your slates.


              28 ÷ 9


              72 ÷ 12
Closure

Answer the following question on your slate:

What are two strategies you can use to solve
            division problems?

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Division review

  • 1. Division A Quick Review!
  • 2. Vocabulary Quotient: the answer to a division problem Dividend: the 4 number being divided 9 36 Divisor: the number that divides the dividend The problem shown above can also be written like this: 36 ÷ 9 = 4
  • 3. 48 ÷ 6 = 8 Which number is the dividend? Which number is the quotient?
  • 4. 11 12 132 Which number is the divisor? Which number is the quotient?
  • 5. Division • When dividing, think sharing equally. • Let’s try dividing by placing the same number of items in groups. • Grab your goldfish crackers...
  • 6. Let’s say you have 15 goldfish crackers. You want to share these crackers with 3 friends. Each friend needs to have the same number of crackers. How many will each get? Friend 1 Friend 2 Friend 3
  • 7. Let’s say you have 15 goldfish crackers. You want to share these crackers with 3 friends. Each friend needs to have the same number of crackers. How many will each get? Friend 1 Friend 2 Friend 3 Each friend gets 5 crackers with none leftover.
  • 8. Let’s try another example Jayne wants to share her 19 crackers with 4 friends. If each friend gets the same number of crackers, how many will each get?
  • 9. Jayne wants to share her 19 crackers with 4 friends. If each friend gets the same number of crackers, how many will each get? Friend 1 Friend 2 Friend 3 Friend 4 4r3 4 19 Each friend gets 4 crackers. In this case, there will be 3 crackers left over. This number, 3, is the remainder.
  • 10. Another Division Strategy You probably remember that multiplication is repeated addition. Division can also be thought of as repeated subtraction!
  • 11. 18 ÷ 3 1. Whatever the dividend is, keep subtracting the divisor until you get to 0 or an answer that is less than your divisor. 2. The amount of times you subtracted is your quotient or your answer!! Yeah!!
  • 12. 18 ÷ 3 1. Start with 18 goldfish crackers. 2. How many times did you subtract 3?
  • 13. 18 Repeated -3 1 To get the answer, count the number of times you Subtraction 15 subtracted 3. -3 2 12 -3 3 Keep subtracting 3 until you reach zero! 9 -3 4 6 -3 5 3 -3 6 18 ÷ 3 = 6 0
  • 14. 21 ÷ 4 1. Start with 21 goldfish crackers. 2. How many times did you subtract 4?
  • 15. Repeated 21 To get the answer, count the number of times you -4 Subtraction 1 subtracted 4. 17 -4 2 Keep subtracting 3 until 13 you reach zero! -4 3 9 -4 4 Since you can’t subtract 4 from 5 1, this number becomes your -4 5 remainder. 1 21 ÷ 4 = 5 r 1
  • 16. Use repeated subtraction to solve the following division problems on your slates. 28 ÷ 9 72 ÷ 12
  • 17. Closure Answer the following question on your slate: What are two strategies you can use to solve division problems?