Learning Goals
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- Represent addition and subtraction of integers on a horizontal number line
- Reason about addition and subtraction of integers in terms of number-locations
- Use logical necessity to reason that addition has the opposite effect as subtraction or that adding (or subtracting) a negative integer has the opposite effect as adding (or subtracting) a positive integer.
- Recognize and generate equivalence classes of integer sums and differences
- Show that a number and its additive inverse (opposite) have a sum of 0
- Using a net worth context, describe situations that have a positive sum or difference, negative sum or difference, and zero sum or difference
- View adding a negative as equivalent to subtracting a positive, and explain why this relationship makes sense in contexts such as net worth.
- View subtracting a negative as equivalent to adding a positive, and explain why this relationship makes sense in contexts such as net worth.
- Apply a number line model for addition and subtraction to new contexts.