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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.1: Numbers and Operations
  • Grade Level - CC.2.1.8: GRADE 8
Standard - CC.2.1.8.E.1

Distinguish between rational and irrational numbers using their properties.

Eligible Content:
7 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Standard Area - CC.2.1: Numbers and Operations
  • Assessment Anchor - A1.1.1:

    Operations with Real Numbers and Expressions

    • 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).
      • Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
        • 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).
          • Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
            • 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.
              • Anchor Descriptor - M08.A-N.1.1 Apply concepts of rational and irrational numbers.
                • Eligible Content - M08.A-N.1.1.1 Determine whether a number is rational or irrational. For rational numbers, show that the decimal expansion terminates or repeats (limit repeating decimals to thousandths).
                • Eligible Content - M08.A-N.1.1.2 Convert a terminating or repeating decimal to a rational number (limit repeating decimals to thousandths).
                  • Alternate Eligible Content - M08.A-N.1.1.2a Convert a fraction to a decimalup to the hundredths place.
                    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 - M08.A-N.1.1.3 Estimate the value of irrational numbers without a calculator (limit whole number radicand to less than 144). Example: √5 is between 2 and 3 but closer to 2.
                • Eligible Content - M08.A-N.1.1.4 Use rational approximations of irrational numbers to compare and order irrational numbers.
                • Eligible Content - M08.A-N.1.1.5 Locate/identify rational and irrational numbers at their approximate locations on a number line.
                  • Alternate Eligible Content - M08.A-N.1.1.5a Locate a non-terminating decimal at its approximate location on thenumber line.
                    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.
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