Standards Map

Mathematics > Grade 6 > The Number System
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Mathematics | Grade : 6

Domain - The Number System

Cluster - Compute fluently with multi-digit numbers and find common factors and multiples.

[6.NS.B.4] - Use prime factorization to 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 relatively prime numbers. For example, express 36 + 8 as 4(9 + 2).

Resources:


  • Prime factorization
    A number written as the product of all its prime factors.
  • Prime number
    A whole number greater than 1 whose only factors are 1 and itself.
  • Relatively Prime
    Two positive integers that share no common divisors greater than 1; that is, the only common positive factor of the two numbers is 1.
  • Whole numbers
    The numbers 0, 1, 2, 3,...

Predecessor Standards:

  • 4.OA.B.4
    Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
  • 5.OA.A.2
    Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 6.EE.A.3
    Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
  • 6.EE.A.4
    Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.