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Converse, Inverse, and Contrapositive

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Converse Inverse Contrapositive - Alice in Wonderland Activity
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Converse Inverse Contrapositive - Alice in Wonderland Activity

Lewis Carroll was a mathematician who wrote a popular children’s story. Like a Lewis Carroll, you can combine story telling with mathematics. Write a story about anything you like in the space below. Please check with your teacher to find out how long your story should be.

Step 1

Choose one sentence from your story.

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Rewrite your sentence as a

conditional statement a\rightarrow b

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Identify the:

hypothesis as a

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conclusion as b

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Step 2

Write the

Conditional statement a\rightarrow b

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Determine the truth value and explain

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Write the

Converse statement b\rightarrow a

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Determine the truth value and explain

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Step 3

Write the

Inverse statement \sim a \rightarrow \sim b

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Determine the truth value and explain

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\# 2 Write the

Contrapositive statement \sim b \rightarrow \sim a

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Write the

Biconditional statement a \leftarrow \rightarrow b

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Determine the truth value and explain

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