Order of Operations

Overview

This lesson plan focuses on the Order of Operations, specifically designed for 12th Grade students. The lesson involves understanding and applying the order of operations, as detailed in the Common Core State Standards for Mathematics (CCSS.Math.Content.HSN-Q.A.2). The lesson will exclude exponents and concentrate on practical and engaging activities that enhance understanding through interactive learning.

Objective

• Students will understand and correctly apply the order of operations (PEMDAS: Parentheses, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)) in mathematical expressions excluding exponents.

Materials Needed

• Whiteboard and markers
• Printed handouts with practice problems
• Puzzle cards with expressions
• Stopwatch or timer
• Small rewards (stickers, praise cards)

Lesson Structure

Introduction (5 minutes)

1. Engage with a Question:

   • Write this problem on the board: 15 - 3 + 2 * 5.
   • Ask students individually: "What is the answer?"
   • Quickly discuss their initial responses without revealing the correct answer.

2. State the Objective:

   • Explain the goal of the lesson: understanding and applying the correct order of operations to solve mathematical expressions without using exponents.

Instruction (10 minutes)

1. Direct Instruction:

   • Briefly explain PEMDAS, emphasizing the sequence excluding exponents: Parentheses, then Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).
   • Write a corrected version of the initial expression on the board:

     Step 1: 15 - 3 + (2 * 5)
     Step 2: 15 - 3 + 10
     Step 3: 12 + 10
     Step 4: 22
     

2. Interactive Example:

   • Present the expression 7 + (6 * 5) - 9, and solve it step-by-step with class participation, asking students to suggest the next step.

Guided Practice (10 minutes)

1. Puzzle Activity:

   • Distribute puzzle cards with mixed operations to each pair of students.
   • Challenge them to solve each card correctly using PEMDAS. Cards feature various combinations such as (10 + 2) * 3 - 5 or 18 / (3 + 3) + 4.
   • Students must complete the puzzles within 5 minutes, and the pairs with correct answers receive a small reward.

2. Group Discussion:

   • Quickly review answers as a class, reinforcing the reasoning behind each step.

Conclusion and Assessment (5 minutes)

1. Quick Practice:

   • Hand out a short quiz with 3-4 expressions that students complete individually, such as:
     • (4 + 6) * 2 - 8
     • 20 / 4 + 3 * 2
   • Collect the quizzes for assessment.

2. Closing Remarks:

   • Highlight the importance of the order of operations in avoiding mathematical errors.
   • Encourage students to practice with different expressions at home.

Extensions

• For students who quickly grasp the concept, provide more challenging problems involving more steps and mixed operations without exponents.

• Encourage them to create their own complex expressions and challenge a peer to solve it.

Teacher Reflection

After the lesson, consider:

• How engaged were the students during the interactive sections?
• Did the students demonstrate understanding in their practice quiz?
• Were there any concepts that seemed unclear or confusing that may require revisiting?

This structure should effectively guide students through the order of operations while keeping them engaged and active in their learning process.