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order of operations: 5th Grade 🌐 Ver en Español

Algebra
Linear Equations
Vertical Alignment

TEKS:

5th5.4(E), 5.4(F)
6th6.7(A), 6.7(B), 6.7(C), 6.7(D)
Linked To
Structured Conversation Questions
Observational

What is order of operations?

Order of operations means...
Relational

How is order of operations related to parentheses?

Order of operations is related to parentheses because...
Inferential

What would happen if there were no rules for the order of operations in mathematics?

If there were no rules for the order of operations in math, I think...
Vocab Visual
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Students might notice in this visual:
  • Numbers are grouped in different ways using parentheses
  • Multiplication appears before addition in the problems
  • The operations are performed in a specific sequence
  • The expression on the left is solved without parentheses
  • The visual uses arrows to show the step-by-step process
EXTENDING THE DISCUSSION
After the observational question, randomly call on one or more students to share what they or their partner answered. Then ask the class, “Did anyone notice…?” using the suggestions above or anything else you’ve noticed.
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Students might wonder:
  • Why do we need a specific order of operations?
  • What happens if I solve the steps out of order?
  • Why do parentheses come first?
  • Are there situations where the order changes?
  • How can different looking problems have the same answer?
EXTENDING THE DISCUSSION
After students have shared what they notice, ask the class, “Did anyone wonder…?” using the suggestions above or anything else you might think is interesting or relevant to the lesson.
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Example student responses

To the observational question, What is order of operations?

LOW-LEVEL

Order of operations means the steps I follow to solve math problems.

HIGH-LEVEL

Order of operations means the specific rules I use to simplify expressions so everyone gets the same answer, like solving inside parentheses first.

RESPONDING TO RESPONSES
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
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