Learning Goal
Part of: Apply and extend previous understandings of arithmetic to algebraic expressions — 4 of 4 cluster items
Identify when two expressions are equivalent
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
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Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
What you'll learn
- State what it means for two expressions to be equivalent: they produce the same value for every substitution of the variable -- not just one specific value
- Use substitution of at least two values to test whether two expressions might be equivalent, and recognize that a single mismatch is sufficient to prove they are not equivalent
- Confirm equivalence algebraically by simplifying both expressions using properties of operations (distributive property, combining like terms) from 6.EE.A.3
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets