Rational Numbers

Unit 3 - Whole numbers, counting numbers, rational numbers, irrational numbers, natural numbers.

• Identify an integer and its opposite and the directions they represent in real-world contexts. (6.NS.5)
• Use integers to represent quantities in real-world situations (above/ below sea level) (6.NS.5)
• Understand the meaning of 0 and where it fits into a situation(6.NS.5)
• Represent and explain the value of a rational number as a point on a number line
• (6.NS.6)
• Recognize that a number line can be both vertical and horizontal (6.NS.6)
• Represent a number and its opposite equidistant from zero on a number line. (6.NS.6)
• Identify that the opposite of the opposite of the number is itself. (6.NS.6)
• Incorporate opposites on the number line or plot opposite points on a coordinate grid where x and y intersect at zero. (6.NS.6)
• Represent signs of numbers in ordered pairs as locations in quadrants on the coordinate plane and explain the relationship between the location and the signs. (6.NS.6)
• Represent and explain reflections of ordered pairs on a coordinate plane (6.NS.6)
• Locate and position integers and other rational numbers on horizontal or vertical number lines (6.NS.6)
• Locate and position integers and other rational numbers on a coordinate plane. (6.NS.6)
• Identify the absolute value of a number as the distance from zero (6.NS.7)
• Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. (6.NS.7)
• Use inequalities to order integers relative to their position on the number line(6.NS.7)
• Write statements of order for rational numbers in real-world contexts. (6.NS.7)
• Interpret statements of order for rational numbers in real-world contexts. (6.NS.7)
• Explain statements of order for rational numbers in real-world contexts. (6.NS.7)
• Represent the absolute value of a rational number as the distance from zero and recognize the symbol │ x │.
• Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. (6.NS.7)
• Distinguish comparisons of absolute value from statements about order. (Compare rational numbers using absolute value in real-world situations. For negative numbers, as the absolute values increases, the value of the number decreases.) (6.NS.7)
• Solve real-world problems by graphing points in all four quadrants of the coordinate plane (6.NS.8)
• Use coordinates to find distances between points with the same first coordinate or the same second coordinate. (6.NS.8)
• Use absolute value to find distances between points with the same first coordinate or the same second coordinate. (6.NS.8)
• Draw polygons in the coordinate plane given the coordinates for the vertices (6.G.3)
• Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. (6.G.3)
• Solve real-world and mathematical problems involving polygons in the coordinate plane.