Mathematics Standards
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Mathematical Connections |
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Mathematics as Reasoning |
Science Standards
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History and Nature of Science |
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Science as Inquiry |
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Unifying Concepts and Processes |
Newton's discovery of the universal nature of the force of gravity
was remarkable. To take the familiar force that makes an apple fall
to Earth and be able to recognize it as the same force that keeps the
planets on their quiet and predictable paths represents one of the major
achievements of human intellectual endeavor. This ability to see beyond
the obvious and familiar is the mark of a true visionary. Sir Issac Newton's
pioneering work epitomizes this quality.
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Mathematics Standards
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Algebra |
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Computation and Estimation |
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Functions |
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Mathematics as Communication |
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Number and Number Relationships |
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Patterns and Functions |
Science Standards
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Unifying Concepts and Processes |
indicates proportionality
indicates equality
is an expression
is an equation
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Mathematics Standards
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Algebra |
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Mathematical Connections |
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Mathematics as Communication |
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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 |
The internationally recognized Systeme International (Sl) is a system
of measurement units. The Sl units for length (meter) and mass (kg)
are taken from the metric system. Many dictionaries and mathematics and
science textbooks provide conversion tables between the metric system
and other systems of measurement. Units conversion is very important in
all areas of life. For example in currency exchange, airplane navigation,
and scientific research.
Units Conversion Examples
| 1 kg ~= 2.2lb |
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1 in = 2.54cm |
| 1 liter ~= 1 qt |
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1 yd ~= 0.9 m |
Questions for Discussion
- What common objects have a mass of about 1 kg?
- What are the dimensions of this sheet of paper in cm and inches?
- How many liters are there in a gallon?
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Mathematics Standards
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Computation and Estimation |
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Mathematics as Communication |
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Number and Number Relationships |
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Number Systems and Number Theory |
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 |
Scientific notation makes it easier to read, write, and manipulate
numbers with many digits. This is especially useful for making quick estimates
and for indicating the number of significant figures.
Examples:
0.001 = 10 -3
10 = 10 1
1000 = 10 3
Which is bigger, 6 x 10 -3 or 8 x 10 -4? 6 x 10
3 or 8 x 104 ? How much bigger?
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Mathematics Standards
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Mathematical Connections |
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Mathematics as Reasoning |
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 does a scale work ?
- What does a scale measure?
- How many different kinds of scales can you list?
- Do they need gravity for them to work?
- Would you get different results on the Moon or Mars?
- How can you measure the mass of an object in microgravity?
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