Equivalent Ratios

📋 Course Outline

1. Equivalent Ratio Meaning
2. Finding Missing Ratio Numbers
3. Ratio Tables And Number Lines
4. Ratio Word Problems
5. Ratio Rules And Mistakes

📖 1. Equivalent Ratio Meaning

🔑 Key Concepts & Definitions

• Equivalent ratios : Different ratios that show the same comparison.

📝 Essential Points

★ Must-know

📌 An equivalent ratio is created by multiplying or dividing both numbers by the same non-zero number.

Further detail

• The ratios 2:3, 4:6, and 6:9 are equivalent because each ratio is formed by applying the same multiplier to both terms.

💡 Memory Hook

Same comparison, same multiplier

📖 2. Finding Missing Ratio Numbers

📝 Essential Points

★ Must-know

🧮 Formula — The multiplier equals the new number divided by the original number.

🔄 Process — To find a missing number in an equivalent ratio, match corresponding numbers, divide the new number by the original number to find the multiplier, and apply that multiplier to the other term.

• In 4:
  • 7 = 20:□
  • the multiplier is 20 ÷ 4 = 5
  • so the missing number is 7 × 5 = 35

💡 Memory Hook

Match, divide, repeat

📖 3. Ratio Tables And Number Lines

📝 Essential Points

★ Must-know