🎨 Fraction Models & Number Lines

📖 What the Section Is About

In this section, students learn how to represent fractions using visual models (like shapes and fraction bars) and number lines. These tools help students see how fractions work, compare their sizes, and understand their place between whole numbers. By connecting pictures to numbers, students gain a stronger, more intuitive grasp of fractions.

🎯 Learning Objectives

✅ Identify fractions using shapes divided into equal parts
✅ Represent fractions with fraction bars, circles, and area models
✅ Place fractions correctly on a number line
✅ Compare fractions by looking at their position on a number line

🧮 Examples

Example 1: Fraction Models
• A rectangle divided into 4 equal parts, with 3 shaded = 3/4
• A pizza divided into 8 slices, with 5 eaten = 5/8

Example 2: Number Lines
• To plot 1/2 on a number line from 0 to 1, divide the space into 2 equal parts and mark the first division.
• On a 0–2 number line, 3/4 is three marks past 0 when divided into fourths.

🔢 Understanding Fraction Models & Number Lines
1️⃣ Models: Fractions can be shown with shapes (like circles, rectangles, or bars) divided into equal parts
2️⃣ Number Lines: Fractions live between whole numbers. The denominator tells how many equal spaces to divide the line into, and the numerator tells how many spaces to count from zero
3️⃣ Why Use Both?: Models help you visualize parts of a whole, while number lines show fractions in order and help compare sizes

📘 Key Vocabulary and Definitions

• Fraction model – A picture or diagram that shows a fraction
• Number line – A line with numbers in order, used to plot fractions
• Interval – The space between two points on a number line
• Equal parts – Sections of the whole that are the same size

🎲 Fun Practice Activities

🎲 Color Your Fractions – Shade in models to match given fractions
🎲 Hop Along the Line – Move along a number line to land on different fractions
🎲 Fraction Match Game – Match fraction models to their number line positions

🏡 Offline Homework Idea: “Fraction Map”

Draw your own number line from 0 to 2. Choose 5 fractions and plot them accurately. Then, draw a shape model for each fraction to match your number line.