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Mathematics: Number Line: Operations

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Topics

    • Operations
    • Number Line
    • Integers

Learning Goals

    • 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.