6.NR.3 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.

• 6.NR.3.1  Identify and compare integers and explain the meaning of zero based on multiple authentic situations.

  • K1: I can define and identify an integer and its opposite. 

  • R1: I can explain the meaning of zero in authentic  situations. 

  • R2: I can explain where zero fits into a situation represented by integers. 

• 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. 

  • R1: I can plot integers and their opposites accurately on a vertical and horizontal number line. 

  • R2: I can explain the position of an integer as a point on the number line. 

  • R3: I can recognize that -a is the same distance from zero as a, and therefore, are opposites of each other. 

6.NR.3 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.

• 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.

  • K1: I can identify an integer and its opposite. 

  • K2: I can explain that zero is its own opposite.

  • K1: I can identify the location of zero on a number line in relation to positive and negative numbers. 

  • R1: I can show and explain why – (–a) = a. Which is read as, “The opposite of the opposite of a is the same as a.” 

  • R2: I can explain that the sign of an integer represents its position relative to zero on a number line.

• 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. 

  • K1: I can define a rational number. 

  • R1: I can plot and order rational numbers accurately on a horizontal and vertical number line. 

  • R2: I can explain the position of a rational number as a point on the number line. 

  • R3: I can use numerical reasoning to interpret and explain the meaning of numerical statements of inequality as the relative position of two integers positioned on a number line. 

6.NR.3 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.

• 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.

  • R1: I can explain absolute value is a number’s distance from zero (0) on a number line. 

  • R2: I can explain absolute value and distance are always expressed as a positive value.

  • R3: I can interpret absolute value in a relevant situation. 

• 6.NR.3.6 Distinguish comparisons of absolute value from statements about order.

  • R1: I can reason, compare, and order absolute values in relation to its distance from zero.

  • R2: I can distinguish comparisons of absolute value from statements about order and apply to problems in everyday life.

6.NR.3 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.

• 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.

  • R1: I can explain absolute value is a number’s distance from zero (0) on a number line. 

  • R2: I can explain absolute value and distance are always expressed as a positive value.

  • R3: I can interpret absolute value in a relevant situation. 

• 6.NR.3.6 Distinguish comparisons of absolute value from statements about order.

  • R1: I can reason, compare, and order absolute values in relation to its distance from zero.

  • R2: I can distinguish comparisons of absolute value from statements about order and apply to problems in everyday life.