6.NS

The Number System

6.NS.1Compute and represent quotients of positive fractions using a variety of procedures (e.g., visual models, equations, and real-world situations).6.NS.2Fluently divide multi-digit whole numbers using a standard algorithmic approach.6.NS.3Fluently add, subtract, multiply and divide multi-digit decimal numbers using a standard algorithmic approach.6.NS.4Find common factors and multiples using two whole numbers.6.NS.4aCompute the greatest common factor (GCF) of two numbers both less than or equal to 100.6.NS.4bCompute the least common multiple (LCM) of two numbers both less than or equal to 12.6.NS.4cExpress sums of two whole numbers, each less than or equal to 100, using the distributive property to factor out a common factor of the original addends.6.NS.5Understand that the positive and negative representations of a number are opposites in direction and value. Use integers to represent quantities in real-world situations and explain the meaning of zero in each situation.6.NS.6Extend the understanding of the number line to include all rational numbers and apply this concept to the coordinate plane.6.NS.6aUnderstand the concept of opposite numbers, including zero, and their relative locations on the number line.6.NS.6bUnderstand that the signs of the coordinates in ordered pairs indicate their location on an axis or in a quadrant on the coordinate plane.6.NS.6cRecognize when ordered pairs are reflections of each other on the coordinate plane across one axis, both axes, or the origin.6.NS.6dPlot rational numbers on number lines and ordered pairs on coordinate planes.6.NS.7Understand and apply the concepts of comparing, ordering, and finding absolute value to rational numbers.6.NS.7aInterpret statements using equal to (=) and not equal to (≠).6.NS.7bInterpret statements using less than (<), greater than (>), and equal to (=) as relative locations on the number line.6.NS.7cUse concepts of equality and inequality to write and to explain real-world and mathematical situations.6.NS.7dUnderstand that absolute value represents a number’s distance from zero on the number line and use the absolute value of a rational number to represent real-world situations.6.NS.7eRecognize the difference between comparing absolute values and ordering rational numbers. For negative rational numbers, understand that as the absolute value increases, the value of the negative number decreases.6.NS.8Extend knowledge of the coordinate plane to solve real-world and mathematical problems involving rational numbers.6.NS.8aPlot points in all four quadrants to represent the problem.6.NS.8bFind the distance between two points when ordered pairs have the same x-coordinates or same y-coordinates.6.NS.8cRelate finding the distance between two points in a coordinate plane to absolute value using a number line.6.NS.9Investigate and translate among multiple representations of rational numbers (fractions, decimal numbers, and percentages). Fractions should be limited to those with denominators of 2, 3, 4, 5, 8, 10, and 100.
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