Back to Use variables to represent numbers and write expressions — Problem 1 · Task Set 33

6.EE.B.6 Tutor Intake -- Variables and Expression Writing

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Grade 6·9 problems·~10 min·Common Core Math - Grade 6·standard·6-ee-b-6

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Concepts

A rope of unknown length is cut into two pieces. One piece is 3
feet long, and the other piece is $r$ feet long. The two pieces
together were 15 feet before cutting. Is $r$ here an unknown
number or a ranging number?

Ranging — $r$ could be any number depending on how the rope happens to be cut.

Unknown — $r$ stands for one specific value that makes $r + 3 = 15$ true.

Unknown — but only because the problem uses the word "unknown number."

Ranging — because the total length, 15, is also unknown.