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	factors and greatest common factors
What length (min)	30
What age group	Year or Grade 7
Include homework
Include images descriptions
Any other preferences	examples

Lesson Plan: Factors and Greatest Common Factors (GCF)

Subject: Mathematics

Grade Level: 7

Duration: 30 Minutes

Lesson Objectives

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

1. Define factors and identify factors of given numbers.
2. Determine the greatest common factor (GCF) of two or more numbers.
3. Apply the concept of GCF in solving problems.

Materials Needed

• Whiteboard and markers
• Worksheets with practice problems
• Pencils
• Calculators (optional)

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Introduction (5 minutes)

Begin the lesson by asking students to share what they know about factors. Highlight the definition of factors:

• Factors are the numbers that can be multiplied together to get another number.

Write some examples on the board:

• Factors of 12: 1, 2, 3, 4, 6, 12
• Factors of 15: 1, 3, 5, 15

Direct Instruction (10 minutes)

Understanding Factors

• Explain how to find the factors of a number, using 24 as an example:
  1. Start from 1 up to 24, dividing 24 by each number to see if it divides evenly.

Introducing Greatest Common Factor (GCF)

• Define GCF:
  The Greatest Common Factor of two or more numbers is the largest factor that all the numbers share.

• Example:
  Find the GCF of 16 and 24.

  • Factors of 16: 1, 2, 4, 8, 16
  • Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
  • Common Factors: 1, 2, 4, 8
  • GCF: 8

Guided Practice (5 minutes)

Have students work in pairs to find the GCF of the following pairs of numbers:

1. 30 and 45
2. 56 and 98

Ask students to share their answers with the class and discuss the methods used to find the GCF.

Independent Practice (5 minutes)

Distribute worksheets with a set of problems for students to complete individually. The worksheet should include:

1. Find the GCF of 18 and 27.
2. Find the GCF of 60 and 72.
3. Find the GCF of 45, 90, and 135.

Homework Assignment (5 minutes)

Assign the following tasks for homework to reinforce the day's lesson:

Homework Tasks:

1. Find the GCF of the following pairs of numbers:
   a) 24 and 36
   b) 32 and 48
   c) 42 and 56

2. Explain in a few sentences why knowing how to find the GCF might be useful in real life.

Answers to Homework

1. a) GCF of 24 and 36 = 12
   b) GCF of 32 and 48 = 16
   c) GCF of 42 and 56 = 14

2. Students' explanations will vary, but they should mention aspects such as simplifying fractions, solving problems with shared resources, etc.

Conclusion (2 minutes)

Wrap up the lesson by reviewing the key concepts of factors and GCF. Reinforce the importance of understanding these concepts for mathematical problem-solving.

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Assessment

• Observe student participation during guided practice.
• Review homework for understanding and correctness.
• Prepare a short quiz on factors and GCF for next class.

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Additional Resources

• Khan Academy videos on factors and GCF
• Interactive online quizzes to practice finding GCF

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This lesson plan provides a structured approach to teaching factors and the greatest common factor for seventh-grade students, incorporating a variety of teaching methods to engage students effectively.