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Mathematics Standards
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Algebra |
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Computational and Estimation |
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Conceptual Underpinnings of Calculus |
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Mathematical Connections |
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Mathematics as Problem Solving |
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Measurement |
Science Standards
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Physical Science |
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Science and Technology |
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Science as Inquiry |
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Unifying Concepts and Processes |
F=W+P=mae
Rewriting yields P=mae-mg=m(ae-
g).
If your mass is 60 kg and the elevator is accelerating upwards at 1 m/s2,
your apparent weight is
P=60 kg (+1 m/s2-(-9.8 m/s2))=+648 kg m/s2
while your weight remains
W=mg=(60 kg)(-9.8 m/s2)=-588 kg m/s2.
If the elevator aceelerates downwards at 0.5 m/s2, your apparent
weight is
P=60 kg (-0.5 m/s 2 -(-9.8 m/s 2 ))=+558 kg m/s2.
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Mathematics Standards
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Mathematics as Communications |
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Mathematics as Reasoning |
Science Standards
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Science as Inquiry |
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Science in Personal and Social Perspectives |
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Unifying Concepts and Processes |
1 micro-g or 1 µg = 1 x 10-6 g
Questions for Discussion
- What other common prefixes or abbreviations for powers of ten do you
know or can you find ?
- In what everyday places do you see these used ?
Grocery stores, farms, laboratories, sporting facilities, pharmacies,
machine shops.
Common prefixes for powers of ten:
| 10-9 |
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nano- |
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n |
| 10-3 |
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milli- |
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m |
| 10-2 |
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centi- |
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c |
| 103 |
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kilo- |
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k |
| 106 |
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mega- |
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M |
| 109 |
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giga- |
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G |
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Mathematics Standards
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Algebra |
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Computation and Estimation |
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Conceptual Underpinnings of Calculus |
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Discrete Mathematics |
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Mathematical Connections |
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Mathematics as Problem Solving |
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Mathematics as Reasoning |
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Number and Number Relationships |
Science Standards
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Unifying Concepts and Processes |
Calculate the times in these examples. Teachers can use these
examples at several different scholastic levels.
Provide the equation as:

Provide the equation as d=(1/2) as t2, and have the students
re-order the equation.
Making measurements and calculating results involve the concepts of accuracy
and precision, significant figures, and orders of magnitude. With these
concepts in mind, are the drop times given in the text "correct"?
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Mathematics Standards
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Algebra |
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Computation and Estimation |
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Mathematical Connections |
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Mathematics as Reasoning |
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Mathematics as Problem Solving |
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Measurement |
Science Standards
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Science and Technology |
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Science as Inquiry |
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Unifying Concepts and Processes |
Questions for Discussion
- How far away is the Mooon?
- How far away is the center of Earth from the center of the Moon?
- Why did we ask the previous question?
- How far away is the surface of Earth from the surface of the Moon
- What are the elevations of different features of Earth and the Moon?
- How are elevations measured?
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