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Standard Area - CC.2.1: Numbers and Operations
Grade Level - CC.2.1.6: GRADE 6

Standard - CC.2.1.6.E.3

Develop and/or apply number theory concepts to find common factors and multiples.

Eligible Content:
3 Total

Assessments

Materials & Resources

Assessment Anchor - A1.1.1
Operations with Real Numbers and Expressions
- Anchor Descriptor - A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).
  - Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
  - Eligible Content - A1.1.1.1.2
    Simplify square roots (e.g., √24 = 2√6).
- Anchor Descriptor - A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings.
  - Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
- Anchor Descriptor - A1.1.1.3 Use exponents, roots and/or absolute value to solve problems.
  - Eligible Content - A1.1.1.3.1 Simplify/evaluate expressions involving properties/laws of exponents, roots and/or absolute value to solve problems (exponents should be integers from -10 to 10).
- Anchor Descriptor - A1.1.1.4 Use estimation strategies in problem-solving situations.
  - Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
- Anchor Descriptor - A1.1.1.5 Simplify expressions involving polynomials.
  - Eligible Content - A1.1.1.5.1 Add, subtract and/or multiply polynomial expressions (express answers in simplest form – nothing larger than a binomial multiplied by a trinomial).
  - Eligible Content - A1.1.1.5.2
    Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax²+bx+c where a is equal to 1 after factoring out all monomial factors).
  - Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.

Assessment Anchor - M06.A-N.2 Compute with multi-digit numbers and find common factors and multiples.
- Anchor Descriptor - M06.A-N.2.1 Compute with multi-digit numbers using the four arithmetic operations with or without a calculator.
  - Eligible Content - M06.A-N.2.1.1 Solve problems involving operations (+, –, ×, and ÷) with whole numbers, decimals (through thousandths), straight computation, or word problems.
    
    Alternate Eligible Content - M06.A-N.2.1.1a Solve a problemusing up to 3-digit whole numbers and any of the four operations.
    Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
- Anchor Descriptor - M06.A-N.2.2 Apply number theory concepts (specifically, factors and multiples).
  - Eligible Content - M06.A-N.2.2.1 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.
    
    Alternate Eligible Content - M06.A-N.2.2.1a Identify multiplesfor numbers 5, 10, 25, or 100.
    Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
  - Eligible Content - M06.A-N.2.2.2 Apply the distributive property to express a sum of two whole numbers, 1 through 100, with a common factor as a multiple of a sum of two whole numbers with no common factor. Example: Express 36 + 8 as 4(9 + 2).

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