1. SEPTEMBER 1, 2011 IOT POLY ENGINEERING I1-2 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.?

2. IOT POLY ENGINEERING I1-2 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.

3. IOT POLY ENGINEERING I1-2 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.

4. IOT POLY ENGINEERING I1-2 Another view of the problem solving process:

5. IOT POLY ENGINEERING I1-2 Sometimes we have a humorous opinion of problem solving …..

6. IOT POLY ENGINEERING I1-2 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.

7. X = X/4 + X/5 + X/3 + 13 60X = 15X + 12X + 20X + 780 60X = 47X + 780 13X = 780 X = 60 years IOT POLY ENGINEERING I1-2 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: Solve the equation:

8. IOT POLY ENGINEERING I1-2 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.

9. IOT POLY ENGINEERING I1-2 PROBLEM #4 MODEL SOLUTION: 8 blocks on level three 6 blocks on level two 9 blocks on level four 23 blocks were missing

10. IOT POLY ENGINEERING I1-2 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.

11. IOT POLY ENGINEERING I1-2 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.

12. SEPTEMBER 1, 2011 IOT POLY ENGINEERING I1-2 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.