NY Next Generation Math NY-6.NS.6

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

• NY-6.NS.6.a

  Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. Recognize that the opposite of the opposite of a number i...

• NY-6.NS.6.b

  Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane. Recognize that when two ordered pairs differ only by ...

• NY-6.NS.6.c

  Find and position integers and other rational numbers on a horizontal or vertical number line. Find and position pairs of integers and other rational numbers on...

01

What Students Need to Do

Students represent rational numbers as points on horizontal and vertical number lines. They identify opposites across zero and use coordinate signs to locate points and recognize reflections across one or both axes.

02

What Mastery Looks Like

The student places -1.5 and 3/4 accurately and explains that opposites lie equally far from zero, including zero as its own opposite. The student plots (-2.5, 1), identifies its sign-change reflections, and explains each position relative to the axes.

03

Common Misconceptions

Students may place negative numbers in reverse order or count tick marks instead of intervals. They may swap coordinates or ignore a negative sign when plotting a point.

04

How to Assess It

Ask students to plot -3/2 and 3/4, identify each opposite and the opposite of each opposite, then plot (-2, 3/2) and its reflections across both axes.

1. 01

   Place rational-number cards on a floor number line, then transfer ordered pairs to a four-quadrant grid.

2. 02

   Ask students to explain why -1/2 lies to the right of -3/2.

3. 03

   Play coordinate locate with signed rational ordered pairs and matching plotted points.

4. 04

   Map locations above and below ground or east and west of a reference point using rational coordinates.

• NY-7.NS.1

  Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers. Represent addition and subtraction on a horizontal or...

• NY-3.NF.2

  Understand a fraction as a number on the number line; represent fractions on a number line.

• 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...