6.NR.3Rational Numbers on Number Line

Expectations

• 6.NR.3.1

  Identify and compare integers and explain the meaning of zero based on multiple authentic situations.

• 6.NR.3.2

  Order and plot integers on a number line and use distance from zero to discover the connection between integers and their opposites.

• 6.NR.3.3

  Recognize and explain that opposite signs of integers indicate locations on opposite sides of zero on the number line; recognize and explain that the opposite of the opposite of a number is the number itself.

• 6.NR.3.4

  Write, interpret, and explain statements of order for rational numbers in authentic, mathematical situations. Compare rational numbers, including integers, using equality and inequality symbols.

• 6.NR.3.5

  Explain the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as distance for a positive or negative quantity in a relevant situation.

• 6.NR.3.6

  Distinguish comparisons of absolute value from statements about order.

Georgia Milestones coverage

• Mathematics Grade 6 (EOG) · Numerical Reasoning

  Solve a variety of problems involving whole numbers and their opposites; model rational numbers on a number line to describe problems presented in relevant, mathematical situations.

  about 12% of the test · 7 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Given a visual representation, compare integers in context. Given an integer plotted on a number line, identify the opposite of that integer. Given a visual representation, compare rational numbers using equality and inequality symbols. Given a number plotted on a number line, determine the absolute value of that number.

Developing

Compare integers in context. Plot an integer and its opposite on a number line. Show that the opposite of the opposite of a number is the number itself. Compare rational numbers using equality and inequality symbols. Given a number, determine the absolute value of that number.

Proficient

Explain the meaning of zero in the context of a realistic problem. Order integers on a number line. Explain that the opposite of the opposite of a number is the number itself. Explain statements of order for rational numbers in authentic contexts. Interpret absolute value as distance for a positive or negative quantity in a contextual situation. Explain a comparison of absolute value from an authentic context.

Distinguished

Solve realistic problems involving comparisons of rational numbers and statements of absolute value.

The same standard across grades

1. Kindergarten · K.NR.3

   Use place value understanding to compose and decompose numbers from 11–19.

2. Grade 2 · 2.NR.3

   Work with equal groups to gain foundations for multiplication through real-life, mathematical problems.

3. Grade 5 · 5.NR.3

   Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

4. Grade 6 · 6.NR.3 (this standard)

   Solve a variety of problems involving whole numbers and their opposites; model rational numbers on a number line to describe problems presented in relevant, mathematical situations.