Transcript TwMM 4.1 Relating Body Measurements.pptx

Math CC7/8 – Be Prepared
On Desk:
Learning Log:
1. Pencil
2. Calculator
3. Math Journal
4. TwMM Learning Log
1. HW: p. 96, #1-3, 14 (ACE #3 WS)
2. Parent Signatures?
3. Quick Quiz
Tasks for Today
• Quick Quiz
• Warm Up – SBA Review
• Lesson 4.1 – Vitruvian Man
Warm Up
Suppose two sisters live 240 miles apart. One sister has three young
children who are planning to visit their aunt for a week. To prevent driving
so far, the sisters agree to leave at the same time, drive toward each
other, and meet somewhere along the route.
• The sister with the three children tends to drive carefully and obey the
speed limit. Her average rate of speed is 70 mph.
• The other sister drives too fast, and her average rate of speed is 80
mph.
• How long will it take the two sisters to meet each other to transfer the
children?
Warm Up
First, notice that two cars are traveling toward each other. Their average
rates of speed are given. The total distance is given, and, even though
we do not know the time the cars began to travel, we are told that the
two cars did leave home at the same time.
Therefore, it will take 1 hour and
36 minutes for them to meet.
There is a general
positive linear trend.
“How close is good
enough?”
s=h
The line passes through (57, 57), (60, 60), (62, 62)
and (67, 67).
Arm span and height are equal in the points.
Points above the line indicate arm span is greater
than height; points below the line indicate arm span
is less than height.
Robert Wadlow’s data point should lie
above the modeling line, indicating his
arm span was greater than his height.
His data point does not precisely support the claim, but
both of his measures are quite large for human beings!
• The model consistently
overestimates arm span from height.
• The residuals are small.
• You might argue that you can’t
predict arm span exactly from
height, but you can get close!
No! arm span and height
are not equal.
T. rex’s data point would
be below the s = h line.