• High School Mathematics Algebra I Part I Unit 2


    Subject: Mathematics
    Course: Algebra I Part I
    Timeline: 9-14 Days
    Unit 2 Title: Linear Equations and Inequalities

    Unit Overview:
     
    This unit will require students to evaluate patterns to write equations, and write and solve one-step and multi-step equations and inequalities given a problem context or a model.  Inequalities will be graphed on a number line.  

    This unit will also require students to determine if an equation is always, sometimes, or never true.  The concept of solving multi-step equations is expanded to include literal equations and formulas, many of which are based on science topics.  Students are expected to compare and contrast solution methods for a variety of different problem types and communicate their mathematical thinking verbally and in writing.

    Unit Objectives:
     
    By the end of Unit 2, all students will be able to:
    • model linear equations using multiple representations and patterns;
    • write and solve one-step equations given a problem context, justifying steps using properties;
    • classify equations based on whether they are always, sometimes, or never true;
    • write and solve multi-step equations and inequalities given a problem context, justifying steps using properties;
    • manipulate and solve literal equations and formulas.

    Focus Standards:
     

    PA.CCSS.Math.Eligible Content.A1.1.2.1.1 Write, solve, and/or apply a linear equation (including problem situations.

    PA.CCSS.Math.Eligible Content.A1.1.3.1.2 Identify or graph the solution set of a linear inequality on a number line.
    PA.CCSS.Math.Eligible Content.A1.1.2.1.2 Use and/ or identify an algebraic property to justify any step in the equation solving process.
    PA.CCSS.Math.Eligible Content.A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation.

    Mathematical Practice Standards:
     
    #2 Reason abstractly and quantitatively.
    #3 Construct viable arguments and critique the reasoning of others.
    #4 Model with mathematics.
    #6 Attend to precision.
    #7 Look for and make use of structure.

    Assessments:
    • Formative assessments are included for each lesson.
    • There is a final unit exam, with Honors and retake versions included.

    Differentiation:
     
    This unit has accommodation suggestions included throughout.