6.NS.4: Determining Common Factors, Least Multiples and Using the Distributive Property

Grade: 6th Grade

Domain: NS: The Number System

Standard Description

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).

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