• # 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.