In your time as a high school student, you've probably heard a few rumors flying around. Sometime the rumors are true, and sometimes they are not. Given the following rumors you might hear as a high school student, create informal proofs for the given conjectures or give counterexamples for the conjecture.
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Rumor: Students who attend class and thoroughly complete all classwork will pass their tests. Is this statement true? How can you prove or disprove it?
Rumor: Students who attend class and thoroughly complete all classwork will pass their tests. Is the rumor true? How would you construct an informal proof to show if this conjecture is true? Write down your ideas. Then click the button below to compare your answer to ours. By looking at 25 specific students' attendance and classwork, you separate them into two categories: those who attend class and complete all homework thoroughly and those who do not. You see that the students who attended and completed all homework pass their tests. This is an informal proof that the conjecture is true.
Rumor: You can easily get away with ditching class. Does this conjecture appear to be true? How can you prove or disprove it? Write down your ideas. Then click the button below to compare your answer to ours. You notice that your friend ditches class one day and gets caught and then suspended for a day. This counterexample shows that the conjecture is not true. |
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