📚 Practice With Worksheets
Reinforce equivalent ratios, proportional relationships, and double number lines with these printable worksheets.
▶️ Learn With Videos
Watch these lessons to learn how double number lines, ratios, rates, and proportions work together.
🛠️ How to Use This Tool
Use the Double Number Line Explorer to visualize equivalent ratios on two aligned number lines.
Generate a new ratio, choose how many tick marks to show, and decide whether to reveal the scale factors.
Use the missing value challenge to find the value that completes the equivalent ratio shown on the double number line.
🧠 Things to Think About
How do the numbers on the top and bottom number lines grow together?
What does each aligned pair of numbers represent?
How can scale factors help you generate equivalent ratios?
📘 Vocabulary
Ratio: A comparison of two quantities.
Equivalent Ratios: Ratios that describe the same relationship between two quantities.
Equivalency: A relationship showing that two ratios have the same value.
Double Number Line: Two number lines stacked together to compare related quantities.
Scale Factor: A number used to multiply both parts of a ratio to create an equivalent ratio.
Proportional: Describes quantities that have a constant multiplicative relationship.
Proportion: An equation showing that two ratios are equivalent.
Missing Value: An unknown number that completes an equivalent ratio or proportion.
Aligned Values: Numbers that line up vertically on a double number line and form a ratio pair.
📐 Double Number Line Rules
A double number line shows equivalent ratios by lining up related quantities vertically.
If the starting ratio is \(3:4\), then multiplying both numbers by the same scale factor creates equivalent ratios:
\(3:4 = 6:8 = 9:12 = 12:16\)
The numbers that line up vertically represent ratio pairs. Each pair keeps the same proportional relationship.
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