NY Next Generation Math NY-6.NS.7.d

Math6th GradeUnderstand ordering and absolute value of rational numbers.

The Standard

Distinguish comparisons of absolute value from statements about order.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students distinguish comparisons of rational numbers from comparisons of their absolute values. They explain whether a statement concerns order or magnitude.
What Mastery Looks Like: The student states -8 < -3 but |-8| > |-3| and explains both comparisons. The student uses number-line position for order and distance from zero for magnitude.
Common Misconceptions: Students may assume the number with greater absolute value is always the greater number. They may use the same comparison symbol for values and magnitudes automatically.
How to Assess It: Ask students to compare -6 and 2, then compare their absolute values. Require separate explanations using position and distance.

Lesson moves

Place signed-number cards on a number line and use strings to compare their distances from zero.
Ask students why -10 is less than -4 although its magnitude is greater.
Play Value or Magnitude by sorting comparison statements into the correct category.
Compare debts and savings, distinguishing the larger balance from the larger amount owed.

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