Understanding Fractions: Introduction and Basic Operations

Objective:

Learn to identify, represent, compare, and perform basic operations with fractions.

Lesson Plan:

1. Introduction to Fractions

• Definition: A fraction represents a part of a whole.
• Examples: 12,34,58\frac{1}{2}, \frac{3}{4}, \frac{5}{8}21​,43​,85​
• Vocabulary: numerator, denominator

1. Types of Fractions

• Proper fractions (23\frac{2}{3}32​)
• Improper fractions (74\frac{7}{4}47​)
• Mixed numbers (1 12\frac{1}{2}21​)

1. Representation on a Number Line

• Place fractions on a number line.
• Compare and order fractions.

1. Basic Operations with Fractions

• Addition and subtraction with the same denominator
• Multiplication of fractions
• Simplifying fractions

Practice Exercises:

1. Write the following fractions: half of a pizza, three quarters of a cake.
2. Place 14,24,34\frac{1}{4}, \frac{2}{4}, \frac{3}{4}41​,42​,43​ on a number line.
3. Add 25+15\frac{2}{5} + \frac{1}{5}52​+51​ and simplify.

Conclusion:

Understanding fractions is essential for solving real-world problems and preparing for advanced math concepts.