🟣 Equivalent Fractions

📖 What the Section Is About

In this section, students explore how different fractions can represent the same value. By using fraction models, number lines, and multiplication or division, they discover that fractions can look different but be equal in size. This skill is essential for comparing fractions, simplifying them, and working with more complex fraction problems.

🎯 Learning Objectives

✅ Identify fractions that are equivalent
✅ Use fraction models and number lines to find equivalent fractions
✅ Create equivalent fractions by multiplying or dividing numerator and denominator by the same number
✅ Simplify fractions to their lowest terms

🧮 Examples in Action

Example 1: Visual Model
• A rectangle split into 2 equal parts, with 1 shaded = 1/2
• The same rectangle split into 4 equal parts, with 2 shaded = 2/4 (same amount shaded)

Example 2: Number Line
• On a number line from 0 to 1, 1/2 is at the same point as 2/4 or 3/6

Example 3: Multiplication/Division Method
• Multiply top and bottom by the same number: 3/5 × 2/2 = 6/10
• Divide top and bottom by the same number: 8/12 ÷ 4/4 = 2/3

🔢 Understanding Equivalent Fractions
1️⃣ Same Value, Different Look – Equivalent fractions have different numerators and denominators but represent the same portion of a whole
2️⃣ Models Help – Shading the same area of differently divided shapes shows equality visually
3️⃣ Multiply or Divide – You can make equivalent fractions by multiplying or dividing both numerator and denominator by the same number
4️⃣ Simplify – Reducing fractions makes them easier to work with and compare

📘 Key Vocabulary and Definitions

• Equivalent fractions – Fractions that represent the same value
• Simplify – To reduce a fraction to its smallest form
• Numerator – The top number in a fraction (parts taken)
• Denominator – The bottom number in a fraction (total parts)

🎲 Fun Practice Activities

🎲 Fraction Twins – Match pairs of fractions that are equivalent
🎲 Number Line Match-Up – Plot fractions on a number line to find matches
🎲 Multiply or Divide Challenge – Make as many equivalent fractions as possible in one minute

🏡 Offline Homework Idea: “Fraction Detective”

Find 5 fractions in your homework or textbook and write two equivalent fractions for each. Show your work using both multiplication and division.