Equivalent Expressions
Grade 6 Math Understanding when expressions have the same value
What Does 'Equivalent' Mean?
Equivalent means 'same value' Expressions can look different but be equal Like 3 + 2 and 5 - they both equal 5 We can prove this using counters or drawings
Build It with Counters
Use counters to build: 4 + 1 Use counters to build: 5 Count both groups Are they equivalent? Give thumbs up or down!
Introducing Variables
A variable is a letter that stands for a number x is a common variable When x = 3, we can substitute 3 for x x + 2 becomes 3 + 2 = 5
Test Your Understanding
If x = 4, are these expressions equivalent? x + 1 5 Work it out: 4 + 1 = ?
Comparing Two Expressions
{"left":"Expression 1: x + 3\nExpression 2: 3 + x\nWhen x = 2: 2 + 3 = 5","right":"When x = 2: 3 + 2 = 5\nBoth equal 5!\nThese expressions are equivalent"}
Real-World Equivalent Expressions
You buy 2 snacks at $3 each Expression 1: 2 × 3 Expression 2: $6 Both expressions show you spend the same amount! Find the equivalent expressions in your daily life
Remember This!
"Equivalent expressions may look different, but they always equal the same value when we substitute the same number for the variable."