Real-World Expressions with Variables
Grade 6 Mathematics Lesson 3 of 4: Real-World Applications 30 minutes
Learning Goals - I Can Statements
Write algebraic expressions for real-world word problems Interpret expressions that represent real situations Explain how variables connect to real-life contexts Create my own word problems with expressions
What Are Variables in Real Life?
Variables represent unknown quantities They help us describe changing situations Example: You have 5 apples and buy x more Expression: 5 + x represents total apples
Practice Together: Joan's Job
Read the problem carefully Joan earns $7 per hour working She works h hours Write an expression for Joan's total earnings
Real-World Expression Examples
{"left":"Situation: Buying movie tickets for $12 each\nExpression: 12t (where t = number of tickets)\nSituation: Starting with $20, spending d dollars","right":"Expression: 20 - d (where d = dollars spent)\nSituation: Running 3 miles per day for w weeks\nExpression: 3w (where w = number of weeks)"}
Your Turn to Think
Create your own real-world situation Choose something from your daily life Write a word problem using a variable Share with a partner and write their expression
Gallery Walk: Student Problems
Post your word problems around the room Walk around and read others' problems Try to write expressions for 3 different problems Discuss: Which problems were easiest? Hardest?
Wrap Up and Reflection
Variables help us describe real situations mathematically Expressions show relationships between known and unknown quantities Next lesson: We'll substitute numbers for variables Exit ticket: Write an expression for saving $10 every week for w weeks