aidemia--modules-lessonplan_request	Titles of parts of the lesson must be formatted as headings
What to create	Lesson plan
Which subject	Mathematics
What topic	PENDAS
What length (min)	30
What age group	Year or Grade 8
Include homework
Include images descriptions
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Lesson Plan: Introduction to PENDAS

Subject: Mathematics

Grade: 8

Duration: 30 minutes

Objectives

By the end of the lesson, students will be able to:

1. Understand what PENDAS stands for.
2. Apply PENDAS to correctly solve mathematical expressions involving various operations.
3. Demonstrate their understanding through practice problems.

Materials Needed

• Whiteboard and markers
• Printed handouts of practice problems
• Graphing calculator (optional)

Lesson Outline

1. Introduction to PENDAS (5 minutes)

• Definition: PENDAS stands for Parentheses, Exponents, Negatives, Division, Addition, and Subtraction.
• Importance: It is essential to remember the order of operations when solving mathematical expressions to ensure accuracy in results.

2. Breaking Down PENDAS (10 minutes)

• Parentheses: Always solve expressions within parentheses first.

  • Example: ( (4 + 2) \times 3 = 6 \times 3 = 18 )

• Exponents: After parentheses, solve exponents.

  • Example: ( 3^2 + 5 = 9 + 5 = 14 )

• Negatives: Handle any negative signs in the expression.

  • Example: ( -2 + 3 = 1 )

• Division and Multiplication: Next, solve division and multiplication from left to right.

  • Example: ( 12 \div 3 \times 2 = 4 \times 2 = 8 )

• Addition and Subtraction: Finally, perform addition and subtraction from left to right.

  • Example: ( 3 + 4 - 2 = 5 )

3. Guided Practice (10 minutes)

• Work through example problems as a class using PENDAS:
  1. ( (7 + 3) \times 2 - 5 )
  2. ( 6 + 2^3 \div 2 )
  3. ( (2 \times 3) + (4 - 1) )

Encourage students to raise their hands and explain their thought process while solving each problem.

4. Independent Practice (3 minutes)

• Distribute handouts with practice problems for students to complete individually.

Homework Assignment

Students will complete the following problems at home. They are to show all work for full credit.

1. Evaluate: ( 5 + (3 \times 4) - 2^2 )
2. Simplify: ( (8 - 5) \times 3 + 10 \div 2 )
3. Calculate: ( (12 \div 4) + 6 - (2^2) + 5 )

Correct Answers to Homework

1. ( 5 + (3 \times 4) - 2^2 = 5 + 12 - 4 = 13 )
2. ( (8 - 5) \times 3 + 10 \div 2 = 3 \times 3 + 5 = 9 + 5 = 14 )
3. ( (12 \div 4) + 6 - (2^2) + 5 = 3 + 6 - 4 + 5 = 10 )

Closing (2 minutes)

• Recap the importance of using PENDAS in solving mathematical expressions.
• Remind students to practice at home and prepare questions for the next class.

Additional Notes

• Encourage students to use a calculator to check their work after solving expressions manually.
• Consider a follow-up lesson on more complex expressions involving each of the operations in PENDAS.