Solving a Proportion by Reducing First

🔑 Key Concepts

  • A proportion shows that two ratios or fractions are equal.
  • Sometimes reducing a fraction first makes the pattern much easier to see.
  • A scale factor does not always have to be a whole number.
  • Cross products can always be used when the scale factor is not obvious.
  • Different strategies can solve the same proportion correctly.

💡 Main Idea

When solving proportions, look for friendly relationships between the numbers. Reducing a fraction first can make the missing value easier to find, but cross multiplication is always a reliable backup strategy.

✏️ Worked Examples

🧠 Math Vocabulary

  • Proportion: an equation showing that two ratios or fractions are equal.
  • Equivalent Ratios: ratios that have the same value.
  • Scale Factor: the number used to multiply one quantity to get another quantity.
  • Cross Products: the products found by multiplying diagonally in a proportion.
  • Simplify: to rewrite a fraction or expression in an easier equivalent form.

📚 What You Should Already Know

Students should already know how to simplify fractions, identify equivalent ratios, multiply fractions, and solve one-step equations.

🚀 What Comes Next

This lesson prepares students to solve proportions using multiple strategies, including reducing first, using scale factors, and using cross products when the relationship is less obvious.

🧩 Embed This Video in Your LMS

Teachers can embed this YouTube Short directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.