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SAMPLE COMPETENCY & CROSSWALK Algebra I Algebra I Competency Statement: Use properties of rational and irrational numbers. Common Core Competency Area N-RN The Real Number System Common Core State Standards CCSS.N-RN.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. PA Common Core Standards CC.2.1.HS.F.3 Apply properties of rational and irrational numbers to solve real world or mathematical problems Assessment Anchor A1.1.1 Operations with real numbers and Expressions Anchor Descriptor Eligible Content A1.1.1.1 A1.1.1.1.1: Compare Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percentages, square roots, and exponents). and/or order any real numbers. Note: Rational and irrational may be mixed. A1.1.1.2 A1.1.1.2.1 Find the Apply number theory concepts to show relationships between real numbers in problemsolving settings. Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. A1.1.1.3 Use exponents, roots, and/or absolute values to solve problems. A1.1.1.3.1 A1.1.1.1.2: Simplify square roots. Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Course Alg 1