Learning Goal
Part of: Apply and extend previous understandings of numbers to the system of rational numbers — 2 of 4 cluster items
Understand a rational number as a point on the number line
**6.NS.C.6**: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
**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 is the number itself, e.g., −(−3) = 3, and that 0 is its own opposite.
**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 signs, the locations of the points are related by reflections across one or both axes.
**c.** Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
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6.NS.C.6: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
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 is the number itself, e.g., −(−3) = 3, and that 0 is its own opposite.
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 signs, the locations of the points are related by reflections across one or both axes.
c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
What you'll learn
- Locate and label any rational number (integer, fraction, or decimal) as a specific point on a horizontal or vertical number line
- Recognize that opposite numbers are equidistant from 0 on opposite sides, and that the opposite of the opposite of a number is the number itself (−(−3) = 3); identify 0 as its own opposite
- Identify the quadrant of a point given its ordered pair based on the signs of the coordinates, and explain how two ordered pairs that differ only in sign are related by reflections across one or both axes
- Find and position integers and other rational numbers on both horizontal/vertical number line diagrams and in the coordinate plane
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises