NY Next Generation Math NY-6.NS.7.a
The Standard
Interpret statements of inequality as statements about the relative position of two numbers on a number line.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret an inequality by locating both rational numbers on an oriented number line. They connect the greater number with the point farther right or higher.
What Mastery Looks Like
- The student explains -3 > -7 because -3 lies to the right of -7. The student places fractions or decimals accurately before writing the comparison.
Common Misconceptions
- Students may compare only absolute values and claim -7 is greater than -3. They may reverse the inequality symbol after correctly placing the points.
How to Assess It
- Give -1.5 and -2/3. Ask students to plot both, write a true inequality, and explain it using relative position.
Lesson moves
Ways to Teach It
Place rational-number cards on a floor number line and stand at the greater value.
Ask students how moving right or upward changes the value on an oriented number line.
Play Inequality Match with number-line diagrams and symbolic comparisons.
Compare two below-zero temperatures and explain the warmer value through number-line position.
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Printable NY-6.NS.7.a Worksheet
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Related Standards
- NY-6.EE.8
Write an inequality of the form x > c, x ≥ c, x ≤ c, or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that ine...
- NY-3.NF.3.a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
- NY-6.NS.7.d
Distinguish comparisons of absolute value from statements about order.
- NY-6.NS.7.b
Write, interpret, and explain statements of order for rational numbers in real-world contexts.
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