Making A Double Number Line

🔑 Key Concepts

  • A double number line shows two related quantities at the same time.
  • Percent means “out of 100,” so 100% represents the whole amount.
  • The whole quantity and 100% should line up at the end of the number lines.
  • Equal spaces on both number lines represent equivalent ratios.
  • Double number lines help students see proportional relationships visually.

✏️ Worked Example

🧠 Math Vocabulary

  • Double Number Line: A visual model that shows two related quantities increasing together.
  • Percent: A ratio that compares a number to 100.
  • Whole: The total amount, which represents 100%.
  • Equivalent Ratios: Ratios that represent the same relationship.
  • Proportional Relationship: A relationship where two quantities increase or decrease at the same rate.

💡 Main Idea

In this lesson, students learn how to use a double number line to find a percent of a number. The whole quantity lines up with 100%, and equal parts on both number lines show equivalent ratios. This helps students see percent as a proportional relationship instead of just a procedure.

📚 What You Should Already Know

Students should understand basic fractions, percents, equivalent ratios, and how to divide a quantity into equal parts. It also helps to know that 100% represents the whole amount.

🚀 What Comes Next

After using double number lines to find percents, students can connect this visual model to percent proportions, tape diagrams, equivalent rates out of 100, and real-world percent problems.

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