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Problem-solving
Examine the problem carefully:

 What  does it tell me?
 What does it ask me to do?
 Have I all the information I
  need?
 Is there any information that is
  not helpful?
How will I solve it?
I could:
 Use concrete materials
 Draw diagram/picture
 Make a chart/table of information
 See if there are any patterns to spot?
 Try to guess and test (trial and error)
 Break it down and solve each part
Have I done what I was asked?
 Have I arrived at a solution/solutions?
 Have I shown this answer clearly?
 Have I expressed my answer in the
  correct units?
 Have I shown clearly how I arrived at
  this answer?
Summary: Problem-solving

   Examine the problem carefully:

   How will I solve it?

   Have I done what I was asked?
Problems to solve
 Mary’s age is a multiple of 2;        A furniture store sold 16 tables,
  next year it will be a multiple of     some with 3 legs and some with
  3. What age will she be when           4.
  this happens again? How often          The tables had 52 legs in total;
  does it happen?                        how many of each did they sell?
 How many times from midnight          My 9 coins look identical but
  to noon does a digital clock           one is lighter than the rest. How
  show 3 or 4 consecutive                can I use a balance twice to find
  numbers. Remember, zeros are           the counterfeit coin?
  not shown before a 3-digit time.      Cut a pizza with 4 straight cuts.
  Record your answers carefully
  to help you look for a pattern.         What is the fewest possible
                                         number of pieces?
  How long is it between these
  times?                                  What is the most possible?
Problem-solving
I am sitting in company at a round
table. I want to share out my 25
sweets, one at a time around the table,
so that I get the first and the last sweet.
How many are sitting at the table?
Problem-solving

   A farmer rears free-range pigs in a large
    walled field; she wants to keep them in
    a pen some of the time, but she has just
    24 fence panels, each 1 metre long.
    Investigate possible arrangements to
    give the pigs as much space as
    possible?

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Problem solving presentation for pupils 3rd-6th

  • 2. Examine the problem carefully:  What does it tell me?  What does it ask me to do?  Have I all the information I need?  Is there any information that is not helpful?
  • 3. How will I solve it? I could:  Use concrete materials  Draw diagram/picture  Make a chart/table of information  See if there are any patterns to spot?  Try to guess and test (trial and error)  Break it down and solve each part
  • 4. Have I done what I was asked?  Have I arrived at a solution/solutions?  Have I shown this answer clearly?  Have I expressed my answer in the correct units?  Have I shown clearly how I arrived at this answer?
  • 5. Summary: Problem-solving  Examine the problem carefully:  How will I solve it?  Have I done what I was asked?
  • 6. Problems to solve  Mary’s age is a multiple of 2;  A furniture store sold 16 tables, next year it will be a multiple of some with 3 legs and some with 3. What age will she be when 4. this happens again? How often The tables had 52 legs in total; does it happen? how many of each did they sell?  How many times from midnight  My 9 coins look identical but to noon does a digital clock one is lighter than the rest. How show 3 or 4 consecutive can I use a balance twice to find numbers. Remember, zeros are the counterfeit coin? not shown before a 3-digit time.  Cut a pizza with 4 straight cuts. Record your answers carefully to help you look for a pattern. What is the fewest possible number of pieces? How long is it between these times? What is the most possible?
  • 7. Problem-solving I am sitting in company at a round table. I want to share out my 25 sweets, one at a time around the table, so that I get the first and the last sweet. How many are sitting at the table?
  • 8. Problem-solving  A farmer rears free-range pigs in a large walled field; she wants to keep them in a pen some of the time, but she has just 24 fence panels, each 1 metre long. Investigate possible arrangements to give the pigs as much space as possible?