Linear Equations: Variables, Constants, Coefficients
Algebra 1 Ms. Graves
Real-World Connection: Concert Tickets
"If tickets for a school play cost the same and you buy 3 for $ 15, how much is one ticket?"
Solving Linear Equations: Step by Step
Goal: Isolate the variable on one side Step 1: Identify the variable and its coefficient Step 2: Use inverse operations to isolate Step 3: Check your solution by substituting back
Components of Linear Equations
"If tickets for a school play cost the same and you buy 3 for $ 15, how much is one ticket?"
Color-Coded Card Matching
Match equation parts with colored cards Orange cards = Variables (x, y) Yellow cards = Coefficients Green cards = Constants Work with equations: 2x + 8 = 16 and 3y - 5 = 10
Equation Puzzle Challenge
Work in groups of 3 students Assemble complete linear equations from puzzle pieces Solve your equations collaboratively Present solutions to the class Explain your reasoning and methods
Quick Check: Can You Identify the Parts?
Look at this equation: 4x - 8 = 12 What is the variable? What is the coefficient? What are the constants? How would you solve this equation?
Summary and Next Steps
Variables represent unknown values we solve for Coefficients are numbers multiplying variables Constants are standalone numbers Linear equations follow the pattern ax + b = c Next lesson: Exploring inequalities and their connections to equations