High School Mathematics Algebra I Part I Unit 2Subject: MathematicsCourse: Algebra I Part I
Timeline: 9-14 Days
Unit 2 Title: Linear Equations and InequalitiesUnit 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.
PA.CCSS.Math.Eligible Content.A18.104.22.168.1 Write, solve, and/or apply a linear equation (including problem situations.PA.CCSS.Math.Eligible Content.A22.214.171.124.2 Identify or graph the solution set of a linear inequality on a number line.PA.CCSS.Math.Eligible Content.A126.96.36.199.2 Use and/ or identify an algebraic property to justify any step in the equation solving process.PA.CCSS.Math.Eligible Content.A188.8.131.52.3 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.