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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.2: Algebraic Concepts
- Grade Level - CC.2.2.HS: GRADE High School
Standard - CC.2.2.HS.D.2
Write expressions in equivalent forms to solve problems.
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Assessment Anchor - A1.1.1
Operations with Real Numbers and Expressions
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Anchor Descriptor - A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).
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Eligible Content - A1.1.1.1.1 Compare and/or order any real numbers (rational and irrational may be mixed).
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Eligible Content - A1.1.1.1.2
Simplify square roots (e.g., √24 = 2√6).
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Anchor Descriptor - A1.1.1.2 Apply number theory concepts to show relationships between real numbers in problem solving settings.
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Eligible Content - A1.1.1.2.1 Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
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Anchor Descriptor - A1.1.1.3 Use exponents, roots and/or absolute value to solve problems.
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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).
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Anchor Descriptor - A1.1.1.4 Use estimation strategies in problem-solving situations.
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Eligible Content - A1.1.1.4.1 Use estimation to solve problems.
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Anchor Descriptor - A1.1.1.5 Simplify expressions involving polynomials.
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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).
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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).
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Eligible Content - A1.1.1.5.3 Simplify/reduce a rational algebraic expression.
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Assessment Anchor - A2.1.2
Non-Linear Expressions
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Anchor Descriptor - A2.1.2.1 Use exponents, roots and/or absolute values to represent equivalent forms or to solve problems.
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Eligible Content - A2.1.2.1.1 Use exponential expressions to represent rational numbers.
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Eligible Content - A2.1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers - exponents should not exceed power of 10).
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Eligible Content - A2.1.2.1.3
Simplify/evaluate expressions involving multiplying with exponents (e.g. x6 * x7 = x13), powers of powers (e.g., (x6)7=x42) and powers of products (2x2)3=8x6 (limit to rational exponents).
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Eligible Content - A2.1.2.1.4
Simplify or evaluate expressions involving logarithms and exponents (e.g. log28 = 3 or log42 = ½).
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Anchor Descriptor - A2.1.2.2 Simplify expressions involving polynomials.
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Eligible Content - A2.1.2.2.1
Factor algebraic expressions, including difference of squares and trinomials (trinomials limited to the form ax2+bx+c where a is not equal to 0).
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Eligible Content - A2.1.2.2.2 Simplify rational algebraic expressions.
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