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Converse, Inverse, and Contrapositive

Conditional statements drawn from an if-then statement.

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Converse Inverse Contrapositive - Alice in Wonderland Activity
Teacher Contributed

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 \begin{align*}a\rightarrow b\end{align*}

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Identify the:

hypothesis as \begin{align*}a\end{align*}

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conclusion as \begin{align*}b\end{align*}

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Step 2

Write the

Conditional statement \begin{align*}a\rightarrow b\end{align*}

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Determine the truth value and explain

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Write the

Converse statement \begin{align*}b\rightarrow a\end{align*}

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Determine the truth value and explain

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Step 3

Write the

Inverse statement \begin{align*}\sim a \rightarrow \sim b\end{align*}

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Determine the truth value and explain

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\begin{align*}\# 2\end{align*} Write the

Contrapositive statement \begin{align*}\sim b \rightarrow \sim a\end{align*}

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Write the

Biconditional statement \begin{align*}a \leftarrow \rightarrow b\end{align*}

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Determine the truth value and explain

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