Algebra 1 - Module 1

Operations with Real Numbers and Expressions

  • A1.1.1.1

    A1.1.1.1 Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).

    1. A

       Compare and/or order any real numbers.A1.1.1.1.1

    2. B

      Simplify square rootsA1.1.1.1.2 

  • A1.1.1.2 

    Apply number theory concepts to show relationships between real numbers in problem- solving settings.

    1. A

      Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.A1.1.1.2.1 

  • A1.1.1.3 

    Use exponents, roots, and/or absolute values to solve problems.

    1. A

      Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.A1.1.1.3.1

  • A1.1.1.4 

    Use estimation strategies in problem-solving situations.

    1. A

      Use estimation to solve problems.A1.1.1.4.1 

  • A1.1.1.5

    Simplify expressions involving polynomials.

    1. A

       Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).A1.1.1.5.1 

    2. B

      Factor algebraic expressions, including difference of squares and trinomials.A1.1.1.5.2 

    3. C

       Simplify/reduce a rational algebraic expression.A1.1.1.5.3 

Linear Equations

  • A1.1.2.1 

    Write, solve, and/or graph linear equations using various methods.

    1. A

       Write, solve, and/or apply a linear equation (including problem situations).A1.1.2.1.1

    2. B

      Use and/or identify an algebraic property to justify any step in an equation-solving process.A1.1.2.1.2

    3. C

      Interpret solutions to problems in the context of the problem situation.A1.1.2.1.3

  • A1.1.2.2 

    Write, solve, and/or graph systems of linear equations using various methods.

    1. A

       Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination.A1.1.2.2.1

    2. B

       Interpret solutions to problems in the context of the problem situation.A1.1.2.2.2

Linear Inequalities

  • A1.1.3.1 

    Write, solve, and/or graph linear inequalities using various methods.

    1. A

       Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).A1.1.3.1.1 

    2. B

      Identify or graph the solution set to a linear inequality on a number line.A1.1.3.1.2

    3. C

      Interpret solutions to problems in the context of the problem situation.A1.1.3.1.3 

  • A1.1.3.2 

     Write, solve, and/or graph systems of linear inequalities using various methods.

    1. A

      Write and/or solve a system of linear inequalities using graphing.A1.1.3.2.1

    2. B

       Interpret solutions to problems in the context of the problem situation.A1.1.3.2.2 

Frequently asked questions

What grade levels do these standards cover?
Grade 8, Grade 9, and Grade 10
Where can I read the official document?
Pennsylvania Assessment Achors - Module 1

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