Expressions & Equations Unlocked
Grade 6 Mathematics Understanding the Building Blocks of Algebra
What Do You Already Know?
Look at these examples: 3 + 4 2x + 5 x + 3 = 7 What differences do you notice?
What is an Expression?
A mathematical phrase that contains numbers, variables, and operations Does NOT have an equal sign Examples: 5 + x, 3y - 2, 10 + 4 Like a phrase in English - it describes but doesn't make a complete statement
Expressions vs. Equations
{"left":"EXPRESSIONS\n3 + x\n2y - 5\n10 + 4\nNo equal sign\nLike a phrase","right":"EQUATIONS\n3 + x = 8\n2y - 5 = 7\n10 + 4 = 14\nHas an equal sign\nLike a complete sentence"}
Parts of an Expression Detective
Work with a partner to identify the parts: Expression: 4x + 7 - 2y Find the: • Coefficient (number in front of variable) • Variable (letter) • Constant (number by itself) • Operations (+, -, ×, ÷)
Translating Words to Expressions
Turn word phrases into algebraic expressions: "Five more than a number x" → x + 5 "Twice a number y" → 2y "A number decreased by 3" → n - 3 "The sum of a number and 8" → x + 8
Quick Check: True or False?
1. 5x + 3 is an expression 2. 2y = 10 is an expression 3. Expressions always have an equal sign 4. The number 7 in '7x + 2' is called a coefficient
Today's Learning Unlocked!
✓ I can identify parts of expressions: coefficients, variables, constants, operations ✓ I can explain the difference between expressions and equations ✓ I can write algebraic expressions from word phrases Next lesson: We'll learn to solve equations!