Fractions Lesson 3
Understanding equivalent
        fractions




MALT©2006 Maths/Fractions Slide Show : Lesson 3
These numbers are called

           fractions
1
2    3                                            12
     15                   2                       22
                          3
    5                               4
    6                               7
    MALT©2006 Maths/Fractions Slide Show : Lesson 3
Here are some

        mixed numbers
2   1
                                           5       4
                                                   9

                   3
    3                    2
                         5


1       6
        8
                                                 2        1
                                                          4


        MALT©2006 Maths/Fractions Slide Show : Lesson 3
Today’s lesson looks at

      Equivalent
       fractions


6           3
8           4
MALT©2006 Maths/Fractions Slide Show : Lesson 3
WALT : to understand equivalent
fractions and decide if fractions
           are equal




   6          3
   8          4
  MALT©2006 Maths/Fractions Slide Show : Lesson 3
In the word equivalent
     there is the root word
              equal




6           3
8           4
MALT©2006 Maths/Fractions Slide Show : Lesson 3
Fractions which are said to be
 equivalent are equal to each
            other.




 6           3
 8           4
 MALT©2006 Maths/Fractions Slide Show : Lesson 3
For example




2               1
4               2




MALT©2006 Maths/Fractions Slide Show : Lesson 3
So if you were given 2 quarters of
a cake and your friend was given
half a cake would you both have
        the same amount?
  2                1
  4                2




   MALT©2006 Maths/Fractions Slide Show : Lesson 3
Yes!
    These fractions are equal.

These are equivalent fractions.
2                1
4                2




 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Can you tell if the following
     fractions are equal?
Are they equivalent fractions?


      3                         1
      6                         2

 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Yes these fractions are equal.
They are equivalent fractions.




      3                         1
      6                         2

 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Are they equivalent fractions?




      4                         2
      6                         3

 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Yes they are
      equivalent fractions.


     4                         2
     6                         3

MALT©2006 Maths/Fractions Slide Show : Lesson 3
Are they equivalent fractions?




    3                           1
    12                          4

 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Yes they are
       equivalent fractions.


   3                           1
   12                          4

MALT©2006 Maths/Fractions Slide Show : Lesson 3
Are they equivalent fractions?




      2                         1
      5                         3

 MALT©2006 Maths/Fractions Slide Show : Lesson 3
No, they are not equal.
They are not equivalent fractions.


       2                         1
       5                         3

  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Here are some equivalent
           fractions.
 Can you work out a strategy for
deciding whether they are equal?




        2                        1
        8                        4
  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Here are some equivalent
           fractions.
 Can you work out a strategy for
deciding whether they are equal?




       4                         2
      10                         5
  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Here are some equivalent
           fractions.
 Can you work out a strategy for
deciding whether they are equal?




        3                        1
        9                        3
  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Use thinking time to discuss.




      1                     3
      4                     12
MALT©2006 Maths/Fractions Slide Show : Lesson 3
Use thinking time to discuss.




    5                         1
    10                        2
MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ideas have you come up
            with?




     5                         1
     10                        2
 MALT©2006 Maths/Fractions Slide Show : Lesson 3
Explain your
      strategy to the class.




    5                         1
    10                        2
MALT©2006 Maths/Fractions Slide Show : Lesson 3
There is a relationship between
the fractions using dividing and
           multiplying.




     5                         1
     20                        4
 MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the
top number . . You must
do to the bottom number.


        5                         1
        20                        4
    MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     divide by 5




            5                        1
            20                       5
                     divide by 5

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     divide by 2




              2                      1
              4                      2
                     divide by 2

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     divide by 3




            3                        1
            12                       4
                     divide by 3

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     divide by 4




            4                        1
            20                       5
                     divide by 4

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     divide by 2




              2                      1
              8                      4
                     divide by 2

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     multiply by 3




              3                      9
              5                     15
                     multiply by 3

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What ever you do to the top number . .
 You must do to the bottom number.

                     multiply by 2




              2                      4
              9                     18
                     multiply by 2

       MALT©2006 Maths/Fractions Slide Show : Lesson 3
What is the missing number?




         1
         5                     10

  MALT©2006 Maths/Fractions Slide Show : Lesson 3
What is the missing number?




         4
         8                       4

  MALT©2006 Maths/Fractions Slide Show : Lesson 3
What is the missing number?




       32                        4
       40

  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Well done




     32                        4
     40                        5

MALT©2006 Maths/Fractions Slide Show : Lesson 3
Sometimes you might need to work out
       equivalent fractions in
            three steps.



48                6                        3
64                8                        4

     MALT©2006 Maths/Fractions Slide Show : Lesson 3
Follow up task
 H7 Textbook
   Page 38
Questions 1,2,3
  MALT©2006 Maths/Fractions Slide Show : Lesson 3
Answers




MALT©2006 Maths/Fractions Slide Show : Lesson 3
End of this lesson,
 any questions or
   comments?

   MALT©2006 Maths/Fractions Slide Show : Lesson 3

Fractions lesson3 4

  • 1.
    Fractions Lesson 3 Understandingequivalent fractions MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 2.
    These numbers arecalled fractions 1 2 3 12 15 2 22 3 5 4 6 7 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 3.
    Here are some mixed numbers 2 1 5 4 9 3 3 2 5 1 6 8 2 1 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 4.
    Today’s lesson looksat Equivalent fractions 6 3 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 5.
    WALT : tounderstand equivalent fractions and decide if fractions are equal 6 3 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 6.
    In the wordequivalent there is the root word equal 6 3 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 7.
    Fractions which aresaid to be equivalent are equal to each other. 6 3 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 8.
    For example 2 1 4 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 9.
    So if youwere given 2 quarters of a cake and your friend was given half a cake would you both have the same amount? 2 1 4 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 10.
    Yes! These fractions are equal. These are equivalent fractions. 2 1 4 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 11.
    Can you tellif the following fractions are equal? Are they equivalent fractions? 3 1 6 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 12.
    Yes these fractionsare equal. They are equivalent fractions. 3 1 6 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 13.
    Are they equivalentfractions? 4 2 6 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 14.
    Yes they are equivalent fractions. 4 2 6 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 15.
    Are they equivalentfractions? 3 1 12 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 16.
    Yes they are equivalent fractions. 3 1 12 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 17.
    Are they equivalentfractions? 2 1 5 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 18.
    No, they arenot equal. They are not equivalent fractions. 2 1 5 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 19.
    Here are someequivalent fractions. Can you work out a strategy for deciding whether they are equal? 2 1 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 20.
    Here are someequivalent fractions. Can you work out a strategy for deciding whether they are equal? 4 2 10 5 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 21.
    Here are someequivalent fractions. Can you work out a strategy for deciding whether they are equal? 3 1 9 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 22.
    Use thinking timeto discuss. 1 3 4 12 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 23.
    Use thinking timeto discuss. 5 1 10 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 24.
    What ideas haveyou come up with? 5 1 10 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 25.
    Explain your strategy to the class. 5 1 10 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 26.
    There is arelationship between the fractions using dividing and multiplying. 5 1 20 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 27.
    What ever youdo to the top number . . You must do to the bottom number. 5 1 20 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 28.
    What ever youdo to the top number . . You must do to the bottom number. divide by 5 5 1 20 5 divide by 5 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 29.
    What ever youdo to the top number . . You must do to the bottom number. divide by 2 2 1 4 2 divide by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 30.
    What ever youdo to the top number . . You must do to the bottom number. divide by 3 3 1 12 4 divide by 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 31.
    What ever youdo to the top number . . You must do to the bottom number. divide by 4 4 1 20 5 divide by 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 32.
    What ever youdo to the top number . . You must do to the bottom number. divide by 2 2 1 8 4 divide by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 33.
    What ever youdo to the top number . . You must do to the bottom number. multiply by 3 3 9 5 15 multiply by 3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 34.
    What ever youdo to the top number . . You must do to the bottom number. multiply by 2 2 4 9 18 multiply by 2 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 35.
    What is themissing number? 1 5 10 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 36.
    What is themissing number? 4 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 37.
    What is themissing number? 32 4 40 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 38.
    Well done 32 4 40 5 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 39.
    Sometimes you mightneed to work out equivalent fractions in three steps. 48 6 3 64 8 4 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 40.
    Follow up task H7 Textbook Page 38 Questions 1,2,3 MALT©2006 Maths/Fractions Slide Show : Lesson 3
  • 41.
  • 42.
    End of thislesson, any questions or comments? MALT©2006 Maths/Fractions Slide Show : Lesson 3