Solving One-Step Equations with Variables

Grade 6 Mathematics 30-minute lesson I can solve equations step by step!

I Can Statements & Success Criteria

I can understand what one-step equations are I can isolate variables using inverse operations I can solve addition and subtraction equations accurately I can explain my solving steps clearly Success: Solve 4 equations correctly and show my work

Real-Life Equation Detective

Scenario: You have some candies After getting 3 more, you have 7 total How many candies did you start with? This is an equation: x + 3 = 7

What is a One-Step Equation?

An equation with one operation to solve Examples: x + 3 = 7 and x - 5 = 10 The variable (x) represents an unknown number We use inverse operations to 'undo' and isolate x Think of it as keeping a balance scale equal

Step-by-Step Solution Process

Addition vs. Subtraction Equations

{"left":"Addition Equation: x + 3 = 7\nSolution: Subtract 3 from both sides\nx + 3 - 3 = 7 - 3\nAnswer: x = 4","right":"Subtraction Equation: x - 5 = 10\nSolution: Add 5 to both sides\nx - 5 + 5 = 10 + 5\nAnswer: x = 15"}

Guided Practice Time

Solve on your dry erase boards: 1. x + 4 = 9 2. x - 6 = 11 3. x + 8 = 15 Show your work and raise your board when done!

Exit Ticket Challenge

Solve these 3 equations: 1. x + 5 = 12 2. x - 7 = 4 3. x + 9 = 14 Write one sentence explaining how you solved equation #1