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September 1, 2011
DRILL A: BOWLING PINS
Ten bowling pins form a triangular
arrangement. Move 3 pins so that
the resulting triangle points in the
opposite direction.
DRILL B: CROSSING CLOCK HANDS
On a regular clock, how many times
will the minute hand and hour hand
cross each other between the hours
of 10 a.m. and 2 p.m.?
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POLY ENGINEERING
DRILL A: BOWLING PINS – DIAGRAM SOLUTION
Ten bowling pins form a triangular arrangement.
Move 3 pins so that the resulting triangle points in
the opposite direction.
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POLY ENGINEERING
DRILL B: CROSSING CLOCK HANDS – DIAGRAM SOLUTION
On a regular clock, how many times will the minute hand
and hour hand cross each other between the hours of 10
a.m. and 2 p.m.?
1. Between 10:54 and 10:55 a.m.
2. At 12:00 noon
3. Between 1:05 and 1:06 p.m.
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POLY ENGINEERING
Problem solving is an activity performed
routinely by scientists and engineers.
Problem solving can be seen as a process:
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POLY ENGINEERING
Another view of the problem solving process:
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POLY ENGINEERING
… from a 1947 arithmetic book …
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POLY ENGINEERING
Sometimes we have a humorous
opinion of problem solving …..
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POLY ENGINEERING
Sometimes we have a humorous
opinion of problem solving …..
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POLY ENGINEERING
Sometimes we have a humorous
opinion of problem solving …..
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POLY ENGINEERING
PROBLEM #3 :
A man lived one-fourth of his life as a boy in
Baltimore, one-fifth of his life as a young man in
Youngstown, one-third of his life as a man in
Manitoba, and the last thirteen years of his life in
Thurmont. How old was the man when he died?
Write down your answer.
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POLY ENGINEERING
PROBLEM #3 ALGEBRAIC SOLUTION:
Define the unknowns:
X = man’s total age.
X/4 = years as a boy
X/5 = years as a youth
X/3 = years as a man
Write an equation:
X = X/4 + X/5 + X/3 + 13
Solve the equation:
60X = 15X + 12X + 20X + 780
60X = 47X + 780
13X = 780
X = 60 years
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POLY ENGINEERING
PROBLEM #4 :
Given a stack of individual blocks as shown. How
many more blocks are needed to fill the empty
spaces and form a large cube? Write down your
answer.
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POLY ENGINEERING
PROBLEM #4 MODEL SOLUTION:
9 blocks on level four
8 blocks on level three
6 blocks on level two
23 blocks were missing
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POLY ENGINEERING
PROBLEM #5 : HOMEWORK
Given a stack of individual blocks as shown. If all of
the visible blocks were to disappear suddenly, how
many blocks would remain? Write down your answer.
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POLY ENGINEERING
PROBLEM #6 : HOMEWORK
Draw the following figure in one continuous action
without lifting your pencil off the paper and without
crossing any lines. You may begin at any point.
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POLY ENGINEERING
September 1, 2011
HOMEWORK: (Problem Solving)
1. Complete any problems from today’s lesson that
you didn’t already finish.
2. Answer problems # 5 - 6 on the previous slides.
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