Common Planner
K–12 Standards

Algebra I: High School

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MODULE 1—Operations and Linear Equations & Inequalities

  • A.

    ASSESSMENT ANCHOR: Operations with Real Numbers and ExpressionsA1.1.1

    1. 1.

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

      1. a.

        Compare and/or order any real numbers. Note: Rational and irrational may be mixed.A1.1.1.1.1 

      2. b.

        Simplify square roots (e.g., √24 = 2√6).A1.1.1.1.2

    2. 2.

      Anchor Descriptor: Apply number theory concepts to show relationships between real numbers in problemsolving settings.A1.1.1.2

      1. a.

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

    3. 3.

      Anchor Descriptor: Use exponents, roots, and/or absolute values to solve problems.A1.1.1.3

      1. a.

        Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Note: Exponents should be integers from –10 to 10.A1.1.1.3.1

    4. 4.

      Anchor Descriptor: Use estimation strategies in problem-solving situationsA1.1.1.4

      1. a.

        Use estimation to solve problems.A1.1.1.4.1

    5. 5.

      Anchor Descriptor: Simplify expressions involving polynomials.A1.1.1.5

      1. a.

        Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.A1.1.1.5.1

      2. b.

        Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2 + bx + c where a is equal to 1 after factoring. out all monomial factors.A1.1.1.5.2

      3. c.

        Simplify/reduce a rational algebraic expression.A1.1.1.5.3

  • B. 

    ASSESSMENT ANCHOR: Linear EquationsA1.1.2

    1. 1.

      Anchor Descriptor: Write, solve, and/or graph linear equations using various methods.A1.1.2.1

      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. Note: Linear equations onlyA1.1.2.1.2

      3. c.

        Interpret solutions to problems in the context of the problem situation. Note: Linear equations only. A1.1.2.1.3

    2. 2.

      Anchor Descriptor: Write, solve, and/or graph systems of linear equations using various methods. A1.1.2.2

      1. a.

        Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations.A1.1.2.2.1

      2. b.

        Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear equations.A1.1.2.2.2

  • C.

    ASSESSMENT ANCHOR: Linear InequalitiesA1.1.3

    1. 1.

      Anchor Descriptor: Write, solve, and/or graph linear inequalities using various methods. A1.1.3.1

      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. Note: Linear inequalities onlyA1.1.3.1.3

    2. 2.

      Anchor Descriptor: Write, solve, and/or graph systems of linear inequalities using various methods. A1.1.3.2

      1. a.

        Write and/or solve a system of linear inequalities using graphing. Note: Limit systems to two linear inequalities.A1.1.3.2.1

      2. b.

        Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear inequalities.A1.1.3.2.2

  • D.

    ASSESSMENT ANCHOR: FunctionsA1.2.1

    1. 1.

      Anchor Descriptor: Analyze and/or use patterns or relations.A1.2.1.1

      1. a.

        Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.A1.2.1.1.1

      2. b.

        Determine whether a relation is a function, given a set of points or a graph.A1.2.1.1.2

      3. c.

        Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).A1.2.1.1.3

    2. 2.

      Anchor Descriptor: Interpret and/or use linear functions and their equations, graphs, or tables.A1.2.1.2

      1. a.

        Create, interpret, and/or use the equation, graph, or table of a linear function.A1.2.1.2.1

      2. b.

        Translate from one representation of a linear function to another (i.e., graph, table, and equation).A1.2.1.2.2

  • E.

    ASSESSMENT ANCHOR: Coordinate GeometryA1.2.2

    1. 1.

      Anchor Descriptor: Describe, compute, and/or use the rate of change (slope) of a line.A1.2.2.1

      1. a.

        Identify, describe, and/or use constant rates of change.A1.2.2.1.1 

      2. b.

        Apply the concept of linear rate of change (slope) to solve problems.A1.2.2.1.2

      3. c.

        Write or identify a linear equation when given • the graph of the line, • two points on the line, or • the slope and a point on the line. Note: Linear equation may be in point-slope, standard, and/or slope-intercept form.A1.2.2.1.3

      4. d.

        Determine the slope and/or y-intercept represented by a linear equation or graph.A1.2.2.1.4

    2. 2.

      Anchor Descriptor: Analyze and/or interpret data on a scatter plot.A1.2.2.2

      1. a.

        Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.A1.2.2.2.1

  • F.

    ASSESSMENT ANCHOR: Data AnalysisA1.2.3

    1. 1.

      Anchor Descriptor: Use measures of dispersion to describe a set of data.A1.2.3.1

      1. a.

        Calculate and/or interpret the range, quartiles, and interquartile range of data.A1.2.3.1.1

    2. 2.

      Anchor Descriptor: Use data displays in problemsolving settings and/or to make predictions.A1.2.3.2

      1. a.

        Estimate or calculate to make predictions based on a circle, line, bar graph, measure of central tendency, or other representation.A1.2.3.2.1

      2. b.

        Analyze data, make predictions, and/or answer questions based on displayed data (box-andwhisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).A1.2.3.2.2

      3. c.

        Make predictions using the equations or graphs of best-fit lines of scatter plots.A1.2.3.2.3

    3. 3.

      Anchor Descriptor: Apply probability to practical situations.A1.2.3.3

      1. a.

        Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent.A1.2.3.3.1

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12
Where can I read the official document?
Pennsylvania Department of Education

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