Lesson 1: Algebraic Equations

What does a solution to an equation mean?

Equal; Algebraic Expression; Solution

2A. Interpret the structure of expressions. (CCSS HSA.SSE.A)

Lesson Description
In this introductory look at Algebraic Equations, students will learn to distinguish between an algebraic expression and an equation. The lesson covers the fundamental concept of a solution—the specific value for a variable that satisfies the equation. Students will practice verifying solutions through substitution and begin exploring the Addition and Subtraction Properties of Equality to isolate variables in one-step linear equations.

Purpose
The goal of this section is to shift the student's mindset from "calculation" to "balance." By understanding that an equation is a balanced scale, students build the conceptual framework necessary for the more complex multi-step equations and real-world modeling they will encounter throughout MAT 095. Mastering the ability to manipulate both sides of an equation equally is the "golden rule" that prevents common errors in later algebraic operations.

Depth of Knowledge (DOK) Level
DOK Level 1 & 2

Level 1 (Recall): Students will identify equations versus expressions and use substitution to check if a given number is a solution.

Level 2 (Skill/Concept): Students will apply basic properties of equality to solve one-step equations, requiring them to make decisions about which inverse operation (addition or subtraction) is needed to isolate the variable.

Class and online work

Use practice problems 1-4, page 89 to assess students' understanding of the lesson concepts