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01
Teaching Teacher School
Algebra
Linear Equations
Vertical Alignment
TEKS:
| 5th | 5.4(E)5.4(F) |
| 6th | 6.7(A)6.7(B)6.7(C)6.7(D) |
Linked To
Downloads
- Download Visual
- Word wall visual
- Lesson Plan
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Lesson Materials
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Teacher Guide
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Leveled Reading Passages
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Google Drive
Structured Conversation Questions
Observational
What is order of operations?
The order of operations is...Relational
How is the order of operations related to an expression
The order of operations is related to an expression because...Inferential
(2x(3-4))²+6 has two sets of parentheses. How would you use the order of operations to simplify an expression like this?
I would use the order of operations to simplify an expression with two sets of parentheses by...
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Students might notice in this visual:
- There is one set of parentheses
- The result inside parentheses is raised to a power of 3
- There’s a negative number multiplied in front: −2
- There are multiple operations: addition, division, subtraction
- The steps are labeled with P, E, M, D, A, S
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.
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.
Students might wonder:
- What happens first, the parentheses or the exponent?
- Why is −2 outside the parentheses?
- Does the exponent apply to everything or just the number inside?
- Can I do addition before division?
- What does PEMDAS stand for?
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.
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.
Example student responses
To the observational question, What is order of operations?
LOW-LEVEL
The order of operations is the way you solve math problems step by step so you get the right answer.
HIGH-LEVEL
The order of operations is the set of rules that tells you which math operations to do first when solving a problem with parentheses, exponents, multiplication, division, addition, and subtraction.
RESPONDING TO RESPONSES
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
Emphasize and celebrate each student’s use of the key vocabulary to support a culture of “no wrong answers.”
