Overview
In this lesson, we focus on using the order of operations to evaluate multi-step expressions. The goal is not speed — it is accuracy, structure, and clear work.
Learning Targets
- Evaluate expressions using the correct order of operations
- Show clear, step-by-step work for multi-step problems
- Explain why each step comes next
Key Vocabulary
- Expression — A math statement with numbers and operations
- Order of Operations — The agreed-upon order for solving expressions
- Brackets / Grouping — Symbols that show what belongs together
- Evaluate — Find the value of an expression
- Multi-step — A problem that requires more than one operation
The Order of Operations
- Brackets (grouping)
- Multiply or Divide from left to right
- Add or Subtract from left to right
Following this order ensures everyone gets the same answer — and helps you avoid common mistakes.
Video: Order of Operations
Watch the video below and pay attention to how each step is written — not just the final answer.
If something is unclear, pause the video and write down the step that confused you.
Lesson Flow
Warm-Up
- Quick review expressions to activate prior learning
- Focus on structure, not speed
Teacher Examples
- We will work through a few examples together
- Each step will be written clearly on a new line
- We will discuss why each step comes next
Independent Practice
- Solve a variety of multi-step expressions
- Show all steps
- Ask questions early if something doesn’t make sense
Green • Blue • Black Practice
- Green — Core order of operations practice
- Blue — Includes brackets and negative numbers
- Black — Longer expressions that require careful structure
Everyone should complete the Green questions. Move on when you are ready — challenge is about thinking, not speed.
Showing Your Work
- One step per line
- Resolve brackets first
- Write neatly so your thinking is easy to follow
Clear work helps you catch mistakes and earns full credit.
Resources
Use solutions to check your understanding — not to copy answers.