Add and subtract signed numbers and explain the meaning of the sign changes.
Model signed changes in context
Problem
A temperature starts at \(-3^{\circ}\text{C}\) and rises \(8^{\circ}\text{C}\). Write the signed expression, and calculate the final temperature.
Big Picture
What this problem is really about
Keep the two roles separate: negative three is the starting temperature, while a rise of eight is a positive change. Add the signed change to the signed start, and picture the movement passing through zero if necessary. The result represents a final temperature, so report it with degrees Celsius rather than as an amount of change.
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