NY Next Generation Math NY-6.NS.7

NY-6.NS.7 is a cluster heading. These are the individual standards under it.

• NY-6.NS.7.a

  Interpret statements of inequality as statements about the relative position of two numbers on a number line.

• NY-6.NS.7.b

  Write, interpret, and explain statements of order for rational numbers in real-world contexts.

• NY-6.NS.7.c

  Understand the absolute value of a rational number as its distance from 0 on the number line. Interpret absolute value as magnitude for a positive or negative q...

• NY-6.NS.7.d

  Distinguish comparisons of absolute value from statements about order.

01

What Students Need to Do

Students order rational numbers and interpret inequalities through number-line position. They use real contexts, absolute value as distance from zero, and distinguish magnitude comparisons from number order.

02

What Mastery Looks Like

The student orders positive and negative fractions, explains an inequality in context, and finds each absolute value. The student recognizes that greater absolute value does not always mean greater number.

03

Common Misconceptions

Students may believe a negative number with greater magnitude is greater. They may treat absolute value as simply removing a sign without connecting it to distance.

04

How to Assess It

Ask students to order -5/2, -1, and 3/4, explain -1 > -5/2, and compare both their values and absolute values.

1. 01

   Place rational-number cards on a floor number line, then measure each distance from zero.

2. 02

   Ask students why -8 is less than -3 while its absolute value is greater.

3. 03

   Play Order and Magnitude Sort with inequalities and absolute-value statements.

4. 04

   Compare temperatures and account balances, stating both order and distance from zero.

• NY-8.NS.2

  Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value ...