6.NS.5: Understanding and Applying Positive and Negative Numbers in Real-World Contexts
Grade: 6th Grade
Domain: NS: The Number System
Standard Description
Domain Description
Understand and solve fraction division problems, such as (2/3) ÷ (3/4), by creating a story context and using visual fraction models. Troubleshoot real-life problems with multi-digit division, including dividing decimals. Identify the greatest common factor and least common multiple of certain whole numbers. Recognize how positive and negative numbers describe opposite values, and how 0 fits into this system.
Recognize opposite signs as indications of number positions on opposite sides of 0 on a number line. Understand the numerals in ordered pairs as number positions in quadrants on a coordinate plane. Comprehend statements of inequality as indicators of relative positions on number line diagrams (e.g. –3 > –7 indicates –3 is to the right of –7). Write, interpret, and explain real-world contexts of rational number order (e.g., –3 oC > –7 oC means –3 oC is warmer).
Understand absolute value based on distance from 0 on a number line and interpret it as size for real-world situations (e.g. write |–30| = 30 to reflect a financial debt). Differentiate between absolute value comparisons and order statements. Solve real-world and mathematical problems