Download - M2 PS Strategies
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PROBLEM SOLVING STRATEGIES
Suggested strategies for primary schools are:
Experimenting
Guess and Check
Look for a pattern
Draw a diagram Make a table
Simplify a problem
Actouta situation
Work backwards
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Who are we?
We are two numbersless than 100.When we are divided
by 2, 4 or 5 we leavea remainder of 1.If you divided us by 3,there is no remainder.
Who are we?
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Use a diagram to represent
a problem
Guide the students to solve
the problem
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Arranging Tiles
How many differentarrangements canyou make?
The rules are: Sides must touch one
another
Arrangements cannot
be images / rotationsof one another
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Arranging 3 Tiles
How many differentarrangements canyou make?
The rules are: Sides must touch one
another
Arrangements cannot
be images / rotationsof one another
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Arranging 4 Tiles
How many differentarrangements canyou make?
The rules are: Sides must touch one
another
Arrangements cannot
be images / rotationsof one another
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Pentominoes: Arranging 5 Tiles
How many differentarrangements canyou make?
The rules are: Sides must touch one
another
Arrangements cannot
be images / rotationsof one another
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Pentominoes: Arranging 5 Tiles
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Pentominoes: Arranging 5 Tiles
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Shaking Hands
Four friends meet oneanother after a longtime. Each person
shakes every otherpersons hand but no
two persons shakehands twice. How
many handshakeswere there?
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Working Backwards
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Money. Money, Money!
Salwa went to the mall tobuy supplies for her mathproject. She spent half ofwhat she had plus $2.00in the first store; half of
what she had left plus$1.00 in the second store;half of what she had leftplus $1.00 in the thirdstore; and in the laststore, half of all she had.Three dollars were leftover. How much moneydid she start with?
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How many squares are there in
a 6x6 grid?
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The Three Moons
The planet Mathemativa,has three beautifulmoons! The 1st moon is
full every 3 days, the 2nd
moon every 4 days whilethe 3rd is full every 5days. Tonight, all the
moons are full. When willthey all be full again?
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A magic square haseach row, diagonaland column adding to
the same total.Construct a 3 x 3magic square usingthe numbers from
1 to 9.
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A magic square haseach row, diagonaland column adding to
the same total.Construct a 3 x 3magic square usingthe numbers from
1 to 9.
4 9 2
3 5 7
8 1 6
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MIND OVER MATTER
Crack the mysterycode to discover themissing letter.
Hint: A=1, Z=26
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Towers of Brahma
Towers of Brahma is more commonly called 'Towersof Hanoi' and rarely 'The End of the World Puzzle'
(the legend explains the second name). It wasinvented in 1883 by a French mathematician namedEdouard Lucas, based on an ancient Hindu
legend.
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Towers of Brahma
The legend tells that Brahma placed 64 golddisks on a pillar of Benares Temple stacked inorder of size (as shown). The monks there areasked to move the disks from the first pillar to
the third pillar with these conditions:-1. Only one disk can be moved at a time
2. No disk may be placed on a smaller disk atany time.
How long does it take to move the disks if thetime taken to move one disk is one second?
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Strategies used
Use objects
Identify sub goal
Experimentation/Simulation Identify pattern
Make table
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Identify pattern and making table
No. of disk No. of steps
1 12 3
3 7
4 15
5 31
n
Identify pattern
2-1 = 21 - 14-1 = 22 - 1
8-1 = 23 -1
16-1 = 24 - 1
32-1= 25
- 1
2n - 1
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RACING TO 36
Rules of the Game
Take turns to pick anumber between 1 and 6
Add the numbers at eachturn
Whoever reaches 36 firstis the winner