SEPTEMBER 1, 2011

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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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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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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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Another view of the problem solving process:

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Sometimes we have a humorous opinion of problem solving …..

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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.

X = X/4 + X/5 + X/3 + 13

60X = 15X + 12X + 20X + 78060X = 47X + 78013X = 780

X = 60 yearsIOT

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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 manWrite an equation:

Solve the equation:

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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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PROBLEM #4 MODEL SOLUTION:

8 blocks on level three6 blocks on level two

9 blocks on level four

23 blocks were missing

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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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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.

SEPTEMBER 1, 2011

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POLY ENGINEERING

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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.