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Hypotheses, Theories, and Laws Assignment
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Terms in this set (8)
Use the drop-down menus to complete the statements.
A is a factual statement about how something will behave.
A is a well-tested explanation of a set of observations.
A is a possible explanation of a scientific question that is testable.
1. law
2. theory
3. hypothesis
For which of these questions could a testable hypothesis be developed? Check all that apply.
Does the width of a rubber band affect how far it will stretch?
How does the thickness of a material affect insulation?
Do all objects fall to the ground at the same speed?
Which statements describe a good hypothesis? Check all that apply.
A good hypothesis can be tested.
A good hypothesis leads to a test with measureable results.
A good hypothesis provides a possible explanation to answer a scientific question.
Identify the variables in this hypothesis.
If an object's mass is increased, then the object's acceleration will decrease because the object will be more resistant to change in motion.
The independent variable is.
The dependent variable is
1. mass
2. acceleration
Yosef is playing with different kinds of rubber bands. Some are very narrow and some are quite wide. Yosef is curious about the rubber bands, and develops this scientific question: Does the width of a rubber band affect how easily it can be stretched?
He decides to develop a hypothesis to test this scientific question. What could Yosef's hypothesis be?
If the width of a rubber band is increased, then it will be more difficult to stretch because more force will be needed to stretch it.
Explain why and how theories may be changed or replaced over time.
Theories may be changed over time as new information is discovered or new technologies are developed. New developments lead to changes in experimental methods, which provide information that may or may not support the existing theory. If the theory is still supported, it may be updated. If it is not supported but the results are true and relevant, the theory may be replaced.
What happens when new information from an experiment produces results that partially support a theory?
The theory is revised or updated.
Explain why a law is accepted as fact, but a theory is not.
Theories are not accepted as fact because new information or technology can show that the theory is incomplete or incorrect. A law is accepted as fact because it is a statement of what will happen and no exceptions have ever been found.
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Use Euler's theorem to establish the following: (a) For any integer $a, a^{37} \equiv a(\bmod 1729) .$ [Hint: $1729=7 \cdot 13 \cdot 19.1$ (b) For any integer $a, a^{13} \equiv a(\bmod 2730)$ [Hint: $2730=2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.1$ (c) For any odd integer $a, a^{33} \equiv a(\bmod 4080)$ [Hint: $4080=15 \cdot 16 \cdot 17 . ]$