$\"\"$

Observe the figures:

Make a table represents figure number and number of toothpicks.

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$

Write an verbal expression.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Let $\"\"$ be the number of tooth picks.

The two different rules are $\"\"$ and $\"\"$ .

Explaination for rule:

The first expression $\"\"$ represents the top multiplied by two to give the top and bottom, then add $\"\"$ for the sloped sides.

The second expression $\"\"$ represents half of the figure, then multiplied by two to get the whole figure.

$\"\"$

The number of toothpicks is represent the two expressions are $\"\"$ and $\"\"$ .