Lesson Plan
Crack the PEMDAS Code Lesson Plan
Students will understand the order of operations using PEMDAS (excluding exponents) and apply it to solve simple math problems confidently, with differentiated support for students on IEPs.
Learning the simplified PEMDAS strengthens students' math problem-solving skills and builds a strong foundation, while ensuring that all learners, including those on IEPs, can succeed.
Audience
5th Grade (including students on IEPs)
Time
30 minutes
Approach
Interactive, step-by-step guidance with hands-on activities and differentiated supports.
Prep
Preparation Steps
10 minutes
- Review all linked materials to ensure familiarity with the content.
- Check that the interactive presentation loads correctly.
- Prepare enough copies of the PEMDAS Practice Worksheets and include differentiated versions or additional guidance sheets for students on IEPs.
- Set up necessary technology for the PEMDAS Game Activity.
- Plan for additional support and one-on-one assistance during activities to support students on IEPs.
Step 1
Warm-Up
5 minutes
- Start with a quick review of basic math operations to prime students.
- Ask questions to gauge their current understanding of order of operations, emphasizing simpler operations without exponents.
- Provide visual aids and extra explanations as needed for students on IEPs.
Step 2
Main Activity
20 minutes
- Use the Interactive PEMDAS Presentation to introduce each component of PEMDAS focusing on Parentheses, Multiplication, Division, Addition, and Subtraction.
- Distribute and work through the PEMDAS Practice Worksheets in small groups; offer adapted worksheets or extra support for students on IEPs.
- Guide students through solving sample problems together as a class, incorporating visual cues and step-by-step breakdowns for those who need them.
- Engage students with the PEMDAS Game Activity to reinforce learned concepts. Allow peer tutoring and provide additional time or modified problems for students on IEPs.
Step 3
Cool-Down
5 minutes
- Recap the main points of the lesson.
- Allow students to share one thing they learned about the order of operations (excluding exponents), encouraging students on IEPs to contribute using their preferred methods.
- Address any final questions and provide one-on-one clarification as needed.
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Slide Deck
Crack the PEMDAS Code!
Welcome to our interactive lesson on PEMDAS!
Today we'll learn how to solve math problems by following a secret code. Get ready to become a math detective!
Introduce the lesson with an energetic welcome. Use a vibrant slide with cheerful diagrams representing each component of PEMDAS (excluding exponents). Emphasize that each letter represents a type of math operation to be performed in sequence. Include pictures/icons for Parentheses, Multiplication, Division, Addition, and Subtraction to support visual learning.
What is PEMDAS?
PEMDAS stands for:
• Parentheses
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)
Remember: Operations inside Parentheses come first!
Explain what PEMDAS stands for, excluding exponents. Use visual icons to represent Parentheses, Multiplication, Division, Addition, and Subtraction. This will support students on IEPs by making abstract concepts more concrete.
Step 1: Parentheses
• Parentheses: Solve operations inside parentheses first.
Example: In (2 + 3) × 4, first add 2+3 to get 5, then multiply 5×4 = 20.
Focus on the first part of PEMDAS: Parentheses. Incorporate diagrams that visually walk through an example, such as highlighting text within parentheses first.
Step 2: Multiplication & Division
• Perform Multiplication and Division as they appear from left to right.
Example: In 8 ÷ 4 × 2, first calculate 8 ÷ 4 = 2, then 2 × 2 = 4.
Discuss the next operations: Multiplication and Division, focusing on the left-to-right rule. Include a diagram that uses arrows to show the sequence.
Step 3: Addition & Subtraction
• Finally, perform Addition and Subtraction from left to right.
Example: In 10 - 2 + 3, calculate 10 - 2 = 8, then 8 + 3 = 11.
Conclude with Addition and Subtraction. Display a simple diagram that steps through the process, highlighting the sequential calculation for clarity.
Let's Practice!
Interactive Example:
Solve: (3 + 2) × (4 - 1) + 2
Steps:
- Calculate inside parentheses: 3+2 and 4-1
- Perform multiplication
- Add the results
Work in small groups and share your answer with the class.
Engage students with an interactive activity. Ask them to solve a problem together using PEMDAS (without exponents) and then share their answers. Encourage discussion and provide additional visuals as needed.
Worksheet
PEMDAS Practice Worksheets
In this worksheet, you'll solve new problems using PEMDAS (Parentheses, Multiplication and Division, Addition and Subtraction) without the use of exponents. Remember: solve inside Parentheses first, then do Multiplication and Division from left to right, and finally Addition and Subtraction from left to right.
Exercise 1
(7 + 2) × 3
Answer:
Exercise 2
9 - 2 × (5 - 3)
Answer:
Exercise 3
(15 ÷ 3) + 4
Answer:
Exercise 4
(8 - 3) × 2 + 5
Answer:
Exercise 5
4 + 6 ÷ 2
Answer:
Exercise 6
18 - (6 - 2)
Answer:
Exercise 7
24 ÷ 4 + 3
Answer:
Exercise 8
20 - 3 × 2
Answer:
Exercise 9
(9 + 1) - 4
Answer:
Exercise 10
(10 ÷ 2) + 5
Answer:
Remember to show all your work. If you need extra help, review the Interactive PEMDAS Presentation for visual step-by-step instructions.
Game
PEMDAS Game Activity
Welcome to the PEMDAS Game Activity!
Overview
In this game, you'll be competing in teams to solve math problems that challenge your understanding of the order of operations (excluding exponents). Each team will work together to solve problems by following the correct order: Parentheses, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The team that solves the problems correctly and the fastest wins!
Game Setup
- Divide into Teams: Split the class into small groups of 3-4 students.
- Materials Needed: Each team will need a whiteboard or paper to work on, a marker or pencil, and a timer.
- Game Area: Ensure everyone has enough space to work in their groups.
Game Rules
-
Problem Presentation: The teacher will present a simple PEMDAS problem (without exponents) to the class.
-
Team Discussion: Teams will have 2-3 minutes to discuss and write down their solution, making sure they follow the order: Parentheses, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
-
Answer Reveal: When time is up, all teams will reveal their answers at the same time.
-
Scoring:
- Correct Answer: Each team that answers correctly receives 1 point.
- Speed Bonus: The team that submits the correct answer first can earn an extra bonus point.
- Correct Answer: Each team that answers correctly receives 1 point.
-
Discussion: After each round, the teacher will explain the correct method and answer, ensuring everyone understands the process.
Sample Problems
Here are some sample problems you might encounter during the game:
Round 1:
Problem: (4 + 2) × 3
Expected Process: Solve the parentheses first (4 + 2 = 6) then multiply (6 × 3 = 18).
Round 2:
Problem: 8 + 2 × (5 - 3)
Expected Process: First, solve the parentheses (5 - 3 = 2), then perform the multiplication (2 × 2 = 4), and finally add (8 + 4 = 12).
Round 3 (Challenge Round):
Problem: (3 + 2) × (6 - 2) + 2
Expected Process: Solve the parentheses: 3 + 2 = 5 and 6 - 2 = 4. Multiply the results: 5 × 4 = 20. Finally, add: 20 + 2 = 22.
Follow-Up Discussion
After the game, gather the class for a quick discussion:
- Strategy Sharing: Ask a few teams to share how they solved the problems and what strategies they used to remember the order of operations.
- Clarifications: Address any common mistakes or questions that arose during the game.
- Reflection: Encourage students to reflect on how following the order of operations helped them solve the problems and why it's important to follow the steps correctly.
Enjoy the game and become a PEMDAS master!
Answer Key
PEMDAS Practice Worksheets Answer Key
This answer key provides step-by-step solutions for each exercise on the updated PEMDAS Practice Worksheets. Follow along to see how each problem is solved using the correct order of operations.
Exercise 1
Problem: (7 + 2) × 3
Steps:
- Parentheses: Calculate 7 + 2 = 9
- Multiplication: Multiply the result by 3: 9 × 3 = 27
Answer: 27
Exercise 2
Problem: 9 - 2 × (5 - 3)
Steps:
- Parentheses: Calculate 5 - 3 = 2
- Multiplication: Multiply 2 × 2 = 4
- Subtraction: Subtract from 9: 9 - 4 = 5
Answer: 5
Exercise 3
Problem: (15 ÷ 3) + 4
Steps:
- Division (within parentheses): Calculate 15 ÷ 3 = 5
- Addition: Add 4 to the result: 5 + 4 = 9
Answer: 9
Exercise 4
Problem: (8 - 3) × 2 + 5
Steps:
- Parentheses: Calculate 8 - 3 = 5
- Multiplication: Multiply 5 × 2 = 10
- Addition: Add 5: 10 + 5 = 15
Answer: 15
Exercise 5
Problem: 4 + 6 ÷ 2
Steps:
- Division: Calculate 6 ÷ 2 = 3
- Addition: Add 4: 4 + 3 = 7
Answer: 7
Exercise 6
Problem: 18 - (6 - 2)
Steps:
- Parentheses: Calculate 6 - 2 = 4
- Subtraction: Subtract: 18 - 4 = 14
Answer: 14
Exercise 7
Problem: 24 ÷ 4 + 3
Steps:
- Division: Calculate 24 ÷ 4 = 6
- Addition: Add 3: 6 + 3 = 9
Answer: 9
Exercise 8
Problem: 20 - 3 × 2
Steps:
- Multiplication: Calculate 3 × 2 = 6
- Subtraction: Subtract: 20 - 6 = 14
Answer: 14
Exercise 9
Problem: (9 + 1) - 4
Steps:
- Parentheses: Calculate 9 + 1 = 10
- Subtraction: Subtract 4: 10 - 4 = 6
Answer: 6
Exercise 10
Problem: (10 ÷ 2) + 5
Steps:
- Division: Calculate 10 ÷ 2 = 5
- Addition: Add 5: 5 + 5 = 10
Answer: 10
Use this key to verify your work and understand each step in the process. If you need extra help, review the Interactive PEMDAS Presentation for visual support.
Worksheet
Additional PEMDAS Practice Worksheets
In this worksheet, you'll solve new problems using PEMDAS (Parentheses, Multiplication and Division, Addition and Subtraction) without using exponents. Remember to work inside the Parentheses first, then do Multiplication and Division from left to right, and finally, perform Addition and Subtraction from left to right.
Show all your work!
Exercise 1
Solve: (5 + 7) ÷ 3
Answer:
Exercise 2
Solve: 12 - (4 - 1)
Answer:
Exercise 3
Solve: (6 - 2) × 4
Answer:
Exercise 4
Solve: 3 + (8 ÷ 2)
Answer:
Exercise 5
Solve: (9 + 1) - 3
Answer:
Exercise 6
Solve: (10 - 4) × 2 + 1
Answer:
Exercise 7
Solve: 18 ÷ 3 + 2
Answer:
Exercise 8
Solve: (14 ÷ 2) - 5
Answer:
Exercise 9
Solve: 7 + 8 ÷ 4
Answer:
Exercise 10
Solve: (5 + 2) × (3 - 1)
Answer:
Good luck, and remember to check your work using the correct order of operations!