Unit 2a
Rational Explorations
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IN THIS UNIT, STUDENTS WILL BE EXPECTED TO:
 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.  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.  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.  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.  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.  Understand ordering and absolute value of rational numbers.  Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.  Write, interpret, and explain statements of order for rational numbers in realworld contexts.  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 quantity in a realworld situation.  Distinguish comparisons of absolute value from statements about order.  Solve realworld and mathematical problems by graphing points in all four quadrants of the coordinate plane.  Tell how coordinates are used to find the distances between points. Students may use the attached documents to monitor their learning progress:
