• # High School Mathematics Algebra I Part I Unit 3

Subject: Mathematics
Course: Algebra I Part I
Timeline: Days
Unit 3 Title: Compound 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 3, all students will be able to:
• write and solve compound inequalities;
• write and solve absolute value inequalities;
• graph the solution sets of compound and absolute value inequalities on a number line;
• interpret solutions to compound and absolute value inequalities in the context of the problem situation.
• manipulate and solve literal equations and formulas.

Focus Standards:

PA.CCSS.Math.Eligible Content.A1.1.3.1.1 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 to a linear inequality on a number line.
PA.CCSS.Math.Eligible Content.A1.1.3.1.3 Interpret solutions to the problem in the context of the problem situation (linear inequalities only).

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 within Lessons
• Unit 3 Assessment

Differentiation:

This unit has accommodation suggestions included throughout.