NY Next Generation Math NY-7.NS.1.b
The Standard
Understand addition of rational numbers; p + q is the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret p + q as moving a distance equal to the absolute value of q from p, with direction determined by q's sign. They show that opposites sum to zero and describe rational-number sums in context.
What Mastery Looks Like
- A student represents -3 + 5 by starting at -3 and moving 5 units right to 2. The student also shows -4 + 4 = 0 and explains the opposite quantities in a context.
Common Misconceptions
- Students may move according to the sign of the starting number instead of the addend. They may treat absolute value as a direction or assume adding always increases a value.
How to Assess It
- Ask students to model -2.5 + (-3) and 6 + (-6) on number lines. Have them explain each direction, distance, sum, and a matching context.
Lesson moves
Ways to Teach It
Walk a floor number line from a rational starting point, using the addend's sign for direction and absolute value for distance.
Ask students why adding a negative number moves left even when the starting number is positive.
Play rational-sum match with equations, number-line movements, solutions, and contextual descriptions.
Model gains and losses, temperature changes, or elevation changes as sums of rational numbers.
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Printable NY-7.NS.1.b Worksheet
A ready-to-print activity worksheet aligned to NY-7.NS.1.b, with an answer key for the teacher on its own page. No account needed.
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