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	LCM and GCF, adding and subtracting fractions etc
What length (min)	30
What age group	Year or Grade 4
Include homework
Include images descriptions
Any other preferences

Lesson Plan: Mathematics - LCM and GCF, Adding and Subtracting Fractions

Grade Level: Year/Grade 4
Duration: 30 minutes
Topic: Least Common Multiple (LCM), Greatest Common Factor (GCF), Adding and Subtracting Fractions

---

Objectives

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

1. Define and find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of numbers.
2. Add and subtract fractions with like denominators.
3. Solve simple word problems involving LCM, GCF, and fractions.

---

Materials Needed

• Whiteboard and markers
• Fraction strips or visual aids
• Worksheets for LCM, GCF, and added or subtracted fractions (with space for answers)

---

Lesson Outline

Introduction (5 minutes)

• Begin with a brief recap of what factors and multiples are.
• Ask students to share examples of factors and multiples they've learned.

Direct Instruction (10 minutes)

LCM and GCF

1. Greatest Common Factor (GCF):

   • Explain that the GCF is the largest number that divides two or more numbers.
   • Example: For numbers 12 and 15, the factors are:
     • 12: 1, 2, 3, 4, 6, 12
     • 15: 1, 3, 5, 15
     • GCF = 3.

2. Least Common Multiple (LCM):

   • Explain that the LCM is the smallest multiple that two or more numbers share.
   • Example: For numbers 4 and 6, the multiples are:
     • 4: 4, 8, 12, 16, 20
     • 6: 6, 12, 18, 24
     • LCM = 12.

Adding and Subtracting Fractions

• Discuss fractions with like denominators and demonstrate how to add and subtract:
  • Example:
    • ( \frac{1}{4} + \frac{2}{4} = \frac{3}{4} )
    • ( \frac{3}{5} - \frac{1}{5} = \frac{2}{5} )

---

Guided Practice (5 minutes)

• Solve problems together as a class:
  1. Find the GCF of 18 and 24.
  2. Find the LCM of 3 and 5.
  3. Add: ( \frac{2}{8} + \frac{3}{8} )
  4. Subtract: ( \frac{5}{6} - \frac{1}{6} )

Independent Practice (5 minutes)

• Allow students to work on problems in pairs, providing worksheets with the following tasks:

---

Homework (5 minutes)

Instructions: Complete these problems at home. Show all work for full credit.

Problems:

1. Find the GCF of 20 and 30.
2. Find the LCM of 7 and 14.
3. Add: ( \frac{1}{6} + \frac{4}{6} )
4. Subtract: ( \frac{3}{10} - \frac{1}{10} )

Answers:

1. GCF of 20 and 30 = 10.
2. LCM of 7 and 14 = 14.
3. ( \frac{1}{6} + \frac{4}{6} = \frac{5}{6} )
4. ( \frac{3}{10} - \frac{1}{10} = \frac{2}{10} = \frac{1}{5} )

---

Conclusion (2 minutes)

• Summarize the key points of LCM, GCF, and working with fractions.
• Encourage students to look for factors and multiples in everyday situations.

---

This lesson plan provides a structured approach to teaching important concepts in mathematics suitable for Year 4 students, ensuring active participation and comprehension through practice and reinforcement.