Solving Proportions - Writing Equations From Cross Products

🔑 Key Concepts

  • A proportion shows that two ratios or fractions are equal.
  • Cross products can help solve proportions with variables.
  • Multiply diagonally across the equal sign.
  • After cross multiplying, solve the equation for the variable.
  • You can sometimes simplify first to make the numbers easier.

💡 Main Idea

To solve a proportion, use cross products to create an equation. Then divide both sides to isolate the variable.

✏️ Worked Examples

🧠 Math Vocabulary

  • Proportion: an equation showing that two ratios or fractions are equal.
  • Ratio: a comparison of two quantities.
  • Cross Products: the products found by multiplying diagonally in a proportion.
  • Equivalent Ratios: ratios that have the same value.
  • Variable: a letter used to represent an unknown value.

📚 What You Should Already Know

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

🚀 What Comes Next

This lesson prepares students to solve proportion word problems, scale problems, percent problems, and equations involving proportional relationships.

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