Alg1.2 Linear Equations, Inequalities, and Systems
In this unit, students expand and deepen their prior understanding of expressions, equations, and inequalities. Students reason about equations, inequalities, and systems of equations and inequalities as ways to represent constraints, and they reason about the process of solving equations and inequalities in terms of finding values that satisfy those constraints. The process of finding solutions may involve rewriting and manipulating equations. Students learn to explain and validate the steps to do so. Throughout the unit, students practice reasoning about situations and mathematical representations, interpreting expressions and numbers in context, and using mathematical tools to model quantities and relationships.
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Lessons
Writing and Modeling with Equations
Manipulating Equations and Understanding Their Structure
Systems of Linear Equations in Two Variables
Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
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This unit is all about linear topics, which is a major focus of Common Core Algebra I. We develop general methods for solving linear equations using properties of equality and inverse operations. Thorough review is given to review of equation solving from Common Core 8th Grade Math. Solutions to equations and inequalities are defined in terms of making statements true. This theme is emphasized throughout the unit. Modeling with both linear equations and inequalities is stressed.
Unit #2 Review – Linear Equations and Inequalities
Unit #2 Assessment Form A
Unit #2 Assessment Form B
Unit #2 Assessment Form C
Unit #2 Assessment Form D
Unit #2 Mid-Unit Quiz (Through Lesson #6) – Form A
Unit #2 Mid-Unit Quiz (Through Lesson #6) – Form B
Unit #2 Mid-Unit Quiz (Through Lesson #6) – Form C
U02.AO.01 – Basic Equation Solving
U02.AO.02 – More Work with Linear Word Problems (After Lesson #7)
U02.AO.03 – Inequality Warm-Up Set (Prior to Lesson #8)
U02.AO.04 – Equation and Inequality Practice
U02.AO.05 – Using Structure to Understand Solutions to Equations (Enrichment)
U02.AO.06 – Solving Linear Equations – Extra Practice
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