Based on the Tenth Amendment and Article I, Section 10 of the U.S. Constitution, the response that would be constitutional is:
A state could require its public school students to learn about the causes of the war.
This is because states have the power to regulate education and can implement policies related to curriculum.
The other options would not be constitutional for the following reasons:
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A state could create its own military to defend itself against the other nation. This is unconstitutional because only the federal government has the power to raise and support an army.
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A state could make a treaty with the other nation ending hostilities between that state and the other country. This is unconstitutional as states are prohibited from making treaties with foreign nations.
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A state could create a new silver dollar coin to support the war effort. Only the federal government has the authority to coin money and regulate its value, making this unconstitutional.
Thus, the only constitutional policy among the given options is requiring students to learn about the causes of the war.