lenny

PEMDAS: Math Magic

user image

Lesson Plan

PEMDAS: Math Magic Lesson Plan

Students will understand and apply the order of operations (PEMDAS) without exponents through guided practice and interactive activities.

Understanding the order of operations is crucial for solving math problems accurately and lays a foundation for future math learning.

Audience

5th Grade

Time

30 minutes

Approach

Engage with warm-up, guided practice, and reflective cool-down.

Materials

PEMDAS: Math Magic Lesson Plan

Prep

Preparation

5 minutes

  • Review the PEMDAS: Math Magic Lesson Plan to familiarize yourself with the activity flow.
  • Prepare manipulatives or visual aids to represent the order of operations.
  • Set up a board or digital slide to display examples and problems.

Step 1

Warm-Up Activity

5 minutes

  • Begin with a brief discussion on what PEMDAS stands for, focusing on the simplified version (excluding exponents).
  • Ask students to recall any previous experiences with math operations in a fun way.

Step 2

Guided Practice

15 minutes

  • Present several order of operations problems on the board.
  • Walk through each problem step-by-step, emphasizing the sequence of operations (Parentheses, Multiplication/Division, Addition/Subtraction).
  • Check for understanding by asking questions and prompting students to share their thought process.
  • Use visual aids to demonstrate how operations are prioritized.

Step 3

Cool-Down and Reflection

5 minutes

  • Encourage students to reflect on what they learned by summarizing the steps of PEMDAS without exponents.
  • Have students work with a partner to explain a solved problem in their own words.
  • Conclude with a quick recap of the key points.
lenny
0 educators
use Lenny to create lessons.

No credit card needed

Slide Deck

Welcome to PEMDAS: Math Magic!

Today we will learn the order of operations in math. Let's have some fun with numbers!

Introduce the lesson and set a positive tone. Explain that today we'll explore the simplified version of PEMDAS (without exponents) and why it's useful for solving problems.

What is PEMDAS?

P: Parentheses
M: Multiplication
D: Division
A: Addition
S: Subtraction

Remember: No exponents today!

Discuss each letter in PEMDAS and note that exponents are omitted in this lesson. Use visuals if available.

Warm-Up Activity

  • Brief discussion: What does each letter of PEMDAS mean?
  • Share a time when you used these operations in everyday life.

Start with the warm-up. Ask students questions to recall their experiences with math operations to engage them.

Guided Practice: Step-by-Step

Example Problem: (8 + 2) × 3 - 4

Steps:

  1. Solve inside Parentheses: 8 + 2 = 10
  2. Multiply: 10 × 3 = 30
  3. Subtract: 30 - 4 = 26

Guide the students through a sample problem. Emphasize the step-by-step order and write each step on a board or digital visual aid.

More Practice!

Example Problem: 12 - (3 + 1) × 2

Steps:

  1. Parentheses: 3 + 1 = 4
  2. Multiply: 4 × 2 = 8
  3. Subtract: 12 - 8 = 4

Present another problem to reinforce the process. Allow students to think and respond during the explanation.

Cool-Down & Reflection

Let's recap:

  • Remember the order: Parentheses, Multiplication/Division, Addition/Subtraction
  • How did following this order help solve our problems?

Discuss with a partner: Explain a solved problem in your own words.

Encourage reflection by asking students to summarize the steps. Pair students up to discuss the lesson.

lenny

Worksheet

PEMDAS Practice Worksheet

In this worksheet, you will practice solving math problems using the order of operations (PEMDAS) without exponents. Remember to work through the operations in order: Parentheses, Multiplication/Division, and Addition/Subtraction. Write your steps clearly in the space provided for each question.





Problem 1

Solve the following problem step-by-step:

(4 + 6) × 2 - 5

Write your steps below:










Problem 2

Solve the following problem:

15 - (3 + 2) × 2

Write your steps below:










Problem 3

Solve the following problem:

(9 + 1) - 2 × 3

Write your steps below:










Problem 4

Solve the following problem:

18 - (4 + 1) × 2

Write your steps below:










Problem 5

Solve the following problem:

(3 + 7) × 3 - 6

Write your steps below:










Problem 6

Solve the following problem:

20 - (5 + 3) × 2

Write your steps below:










Problem 7

Solve the following problem:

(8 + 2) - 4 × 2

Write your steps below:










Problem 8

Solve the following problem:

(6 + 4) × 2 - 7

Write your steps below:










Problem 9

Solve the following problem:

16 - (2 + 6) × 2

Write your steps below:










Problem 10

Solve the following problem:

(5 + 5) - 3 × 2

Write your steps below:










Good luck and do your best!

lenny
lenny

Answer Key

PEMDAS Practice Answer Key

This answer key provides detailed, step-by-step solutions that match the problems provided on the worksheet. Remember to work through the operations in the order: Parentheses, Multiplication/Division, and Addition/Subtraction. Use these solutions to check your work and reinforce your understanding of PEMDAS.

Problem 1

Problem: (4 + 6) × 2 - 5

Step-by-Step Solution:

  1. Parentheses: Calculate 4 + 6 = 10
  2. Multiplication: Multiply by 2: 10 × 2 = 20
  3. Subtraction: Subtract 5: 20 - 5 = 15

Answer: 15












Problem 2

Problem: 15 - (3 + 2) × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 3 + 2 = 5
  2. Multiplication: Multiply by 2: 5 × 2 = 10
  3. Subtraction: Subtract 10 from 15: 15 - 10 = 5

Answer: 5












Problem 3

Problem: (9 + 1) - 2 × 3

Step-by-Step Solution:

  1. Parentheses: Calculate 9 + 1 = 10
  2. Multiplication: Multiply 2 × 3 = 6
  3. Subtraction: Subtract 6 from 10: 10 - 6 = 4

Answer: 4












Problem 4

Problem: 18 - (4 + 1) × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 4 + 1 = 5
  2. Multiplication: Multiply by 2: 5 × 2 = 10
  3. Subtraction: Subtract 10 from 18: 18 - 10 = 8

Answer: 8












Problem 5

Problem: (3 + 7) × 3 - 6

Step-by-Step Solution:

  1. Parentheses: Calculate 3 + 7 = 10
  2. Multiplication: Multiply by 3: 10 × 3 = 30
  3. Subtraction: Subtract 6 from 30: 30 - 6 = 24

Answer: 24












Problem 6

Problem: 20 - (5 + 3) × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 5 + 3 = 8
  2. Multiplication: Multiply by 2: 8 × 2 = 16
  3. Subtraction: Subtract 16 from 20: 20 - 16 = 4

Answer: 4












Problem 7

Problem: (8 + 2) - 4 × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 8 + 2 = 10
  2. Multiplication: Multiply by 4: 4 × 2 = 8
  3. Subtraction: Subtract 8 from 10: 10 - 8 = 2

Answer: 2












Problem 8

Problem: (6 + 4) × 2 - 7

Step-by-Step Solution:

  1. Parentheses: Calculate 6 + 4 = 10
  2. Multiplication: Multiply by 2: 10 × 2 = 20
  3. Subtraction: Subtract 7 from 20: 20 - 7 = 13

Answer: 13












Problem 9

Problem: 16 - (2 + 6) × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 2 + 6 = 8
  2. Multiplication: Multiply by 2: 8 × 2 = 16
  3. Subtraction: Subtract 16 from 16: 16 - 16 = 0

Answer: 0












Problem 10

Problem: (5 + 5) - 3 × 2

Step-by-Step Solution:

  1. Parentheses: Calculate 5 + 5 = 10
  2. Multiplication: Multiply by 3: 3 × 2 = 6
  3. Subtraction: Subtract 6 from 10: 10 - 6 = 4

Answer: 4












Use this answer key to practice solving order of operations problems. Always remember to follow PEMDAS: Parentheses, Multiplication/Division, and Addition/Subtraction.

lenny
lenny