Lesson 2: One-Step Equations (Addition & Subtraction)

• What does it mean to "solve" an equation?
• How do we get the variable by itself?
• What operation "undoes" addition? Subtraction?
• How do we check our answer?

Equation, solution, inverse operation, balance, isolate, check

CCSS.MATH.6.EE.B.5, CCSS.MATH.6.EE.B.7

Description: Using the balance scale metaphor, students learn that equations must stay balanced. They use concrete manipulatives (blocks on both sides of a scale) to physically represent equations and solve them by removing equal amounts from both sides. Purpose: To develop conceptual understanding that solving means isolating the variable through inverse operations. DOK Level: 2-3 (Application and Strategic Thinking)

• Concrete to abstract: Start with manipulatives, move to drawings, then to symbols
• For struggling learners: Provide equations with smaller numbers (x + 2 = 5) and pre-drawn balance scales
• For advanced learners: Include equations requiring regrouping or larger numbers
• Scaffolding: Provide step-by-step solution cards with visuals

• Observation: Can students use manipulatives to solve equations?

• Worksheet: Solve 5 one-step equations with visual supports

• Think-aloud: Explain steps verbally or with visuals

• Check-your-work task: Verify solutions by substitution

• Balance scales or balance scale drawings

• Algebra tiles or counters

• One-step equation cards

• Solution verification worksheet

• Resource: Desmos "Equations with Algebra Tiles"