September 21, 2010 IOT POLY ENGINEERING I1-13 DRILL B: Orange & Blue Of 100 Poly students participating in a telephone survey, 75 said they were wearing orange, 95 said they were wearing blue, and 50 said they were wearing both blue and orange. Was the survey accurate? (Is this DRILL A: Army Ants – A group of ants from separate colonies meet head-on in a very narrow underground tunnel. There is a small space at the edge of the tunnel, but it can only hold one ant. How can the ants pass each other? Small space
September 21, 2010 IOT POLY ENGINEERING I1-13 DRILL B: Orange & Blue Of 100 Poly students participating in a telephone survey, 75 said they were wearing.
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September 21, 2010
IOT
POLY ENGINEERING
I1-13
DRILL B: Orange & Blue
Of 100 Poly students participating in a telephone survey, 75 said they were wearing orange, 95 said they were wearing blue, and 50 said they were wearing both blue and orange.
Was the survey accurate? (Is this possible?)
DRILL A: Army Ants – A group of ants from separate colonies meet head-on in a very narrow underground tunnel. There is a small space at the edge of the tunnel, but it can only hold one ant. How can the ants pass each other?
Small space
IOT
POLY ENGINEERING
I1-13
DRILL A: ARMY ANTS – SOLUTIONA group of ants from separate colonies meet head-on in a very narrow underground tunnel. There is a small space at the edge of the tunnel, but it can only hold one ant. How can the ants pass each other?
IOT
POLY ENGINEERING
I1-13
DRILL B: Orange & Blue – Diagram Solution
100 Poly students: 75 said they were wearing orange, 95 said they were wearing blue, and 50 said they were wearing both blue and orange.
2545 5095 75
45 + 50 + 25 = 120 students, not 100, so there is something wrong with the survey.
IOT
POLY ENGINEERING
I1-13
CLASSWORK PROBLEM #1 : Cutting The Rug
A rug was purchased to fit into a hallway 2 feet wide by 18 feet long. The rug company goofed and delivered a rug 3 feet wide and 12 feet long. Show how the rug can be cut into two sections and taped back together to form the desired dimensions. Write down your answer.
IOT
POLY ENGINEERING
I1-13
CLASSWORK PROBLEM #1 : Cutting The Rug Solution
IOT
POLY ENGINEERING
I1-13
CLASSWORK PROBLEM #2 : Plus Sign
Show how the following shapes can be assembled to form a “plus” sign (+).
Write down your answer.
IOT
POLY ENGINEERING
I1-13
PROBLEM #1 : Plus Sign Solution
IOT
POLY ENGINEERING
I1-12
Describe three entirely different (but practical) ways for determining the area of the darkened region to within 0.1%.
IOT
POLY ENGINEERING
I1-12
HOMEWORK PROBLEM #1 : SPIDER & FLY
Given: A spider and a fly are in a room whose dimensions are 25 feet wide by 15 feet deep by 8 feet high. The spider is on the CEILING and the fly is on the FLOOR. If one corner of the room represents the origin (0,0,0) of an x-y-z coordinate system, then the spider is located at (20,8,-11 ) and the fly is located at (5,0,-7 ). See the given diagram.
Problem: What is the MINIMUM DISTANCE that the spider must travel to reach the fly?
IOT
POLY ENGINEERING
I1-12
HOMEWORK PROBLEM #2 : SPIDER & FLY
Given: A spider and a fly are in a room whose dimensions are 25 feet wide by 15 feet deep by 8 feet high. The spider is on the FLOOR and the fly is on the CEILING. If one corner of the room represents the origin (0,0,0) of an x-y-z coordinate system, then the spider is located at (5,0,-7) and the fly is located at (20,8,-11 ). See the given diagram.
Problem: What is the MINIMUM DISTANCE that the spider must travel to reach the fly?
September 21, 2010
IOT
POLY ENGINEERING
I1-12
HOMEWORK: (Problem Solving)
1. Complete any problems from today’s lesson that you didn’t finish.
2. Complete the Spider & Fly problems from the printed sheet.
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