Understand a rational number as a point on the number line

Start lessonBegins with Opposites and plotting on a number line · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

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.

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

Identify the opposite of a rational number as the point the same distance from 0 on the other side of the number line, and recognize that -(-a) = a and that 0 is its own opposite.
Plot integers, fractions, and decimals on a horizontal or vertical number line, including negative values.
Identify the quadrant (I, II, III, or IV) of an ordered pair from the signs of its coordinates.
Recognize that two ordered pairs differing only in the sign of one coordinate are reflections across an axis (sign of *y* flips -> reflection across the *x*-axis; sign of *x* flips -> reflection across the *y*-axis); a sign change in both coordinates is a reflection across the origin.
Plot ordered pairs of integers and rational numbers in all four quadrants of the coordinate plane, and recognize when a point sits on an axis rather than in a quadrant.

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