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What to createLesson plan
Which subjectMathematics
What topicOrder of operations
What length (min)30
What age groupDoesn't matter
Include homework
Include images descriptions
Any other preferences

Lesson Plan: Order of Operations

Subject: Mathematics

Topic: Order of Operations

Duration: 30 Minutes

Grade Level: Middle School

Objective

Students will understand and apply the order of operations to evaluate mathematical expressions accurately.

Materials Needed

Introduction (5 minutes)

  1. Engage the Class
    Begin with a brief review of basic operations: addition, subtraction, multiplication, and division. Ask students if they have ever encountered confusion when solving an expression with multiple operations.

  2. Introduce the Topic
    Explain the importance of the order of operations in mathematics to ensure consistency and accuracy when evaluating expressions.

  3. Motivational Phrase
    Introduce the phrase "Please Excuse My Dear Aunt Sally" to help students remember the order:

    • P: Parentheses
    • E: Exponents
    • MD: Multiplication and Division (from left to right)
    • AS: Addition and Subtraction (from left to right)

Direct Instruction (10 minutes)

  1. Ordering Operations
    Use the whiteboard to demonstrate the order of operations with examples. Start with a simple expression and show the steps clearly.

    Example:
    Evaluate ( 6 + 2 \times 3 )

    • Step 1: Multiply first: ( 2 \times 3 = 6 )
    • Step 2: Then add: ( 6 + 6 = 12 )
      Therefore, ( 6 + 2 \times 3 = 12 ).

  2. Practice Together
    Together, solve the following expression as a class:
    Evaluate ( (3 + 5) \times 2^2 - 4 )

    • Step 1: Parentheses: ( 3 + 5 = 8)
    • Step 2: Exponents: ( 2^2 = 4)
    • Step 3: Multiply: ( 8 \times 4 = 32)
    • Step 4: Subtract: ( 32 - 4 = 28)

Guided Practice (10 minutes)

Distribute handouts with a series of problems to solve in pairs. Monitor student discussions and provide guidance as needed.

Problems:

  1. ( 5 + 3 \times (12 - 9) )
  2. ( 7 \times (6 - 2) + 4 \div 2 )
  3. ( (2 + 3)^2 \div 5 )
  4. ( 10 - 4 + 3 \times 2 )

Allow students 5 minutes to work on these.

Independent Practice (5 minutes)

Conclude the lesson by giving students a set of problems to complete on their own that will also serve as their homework.

Homework Assignment

Complete the following problems and bring them for review in the next class.

  1. ( (8 + 2) \times 3 - 5 )
  2. ( 4 + 2 \times (3 + 5) )
  3. ( 12 - (6 \div 2) + 3^2 )
  4. ( 9 \div 3 + 4 \times 2 - 1 )

Answers:

  1. ( (8 + 2) \times 3 - 5 = 30 - 5 = 25 )
  2. ( 4 + 2 \times (3 + 5) = 4 + 2 \times 8 = 4 + 16 = 20 )
  3. ( 12 - (6 \div 2) + 3^2 = 12 - 3 + 9 = 18 )
  4. ( 9 \div 3 + 4 \times 2 - 1 = 3 + 8 - 1 = 10 )

Conclusion (Optional)

Wrap up the lesson by reinforcing the importance of the order of operations in ensuring accuracy in mathematics. Encourage students to practice more problems at home for better understanding and mastery of the topic.

Assessment

Evaluate students’ understanding through their participation in class discussions, their ability to work through guided practice problems, and the homework submitted for review.