m2 ps strategies

7/31/2019 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



another

Arrangements cannot



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Arranging 4 Tiles



another

Arrangements cannot



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Pentominoes: Arranging 5 Tiles



another

Arrangements cannot



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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

m2 ps strategies

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