Unlock the Magic of Ratio Tables: 

Dive deep into ratio tables with this comprehensive resource designed to make learning ratios simple and effective. Ratio tables are a powerful tool for understanding proportional relationships, and this guide is packed with examples to help you master them.

• How to Complete Ratio Tables: Learn to find missing values and create equivalent ratios using whole numbers.
• Explore Patterns in Ratios: Discover the connections between different quantities in ratio tables.
• Practice, Practice, Practice: Work through multiple examples to build confidence and accuracy.

Example 1: Basic Ratio Table

• Fill in the missing values:
  

  A	B
  2	4
  4	?
  ?	16

  The ratio A:B=2:4, or  1:2.

  To find B when A=4:

  B=4×2=8

  To find A when B=16:

  A=16÷2=8

  Completed Table:

  A	B
  2	4
  4	8
  8	16

Example 2: Multiply to Complete the Table

• Use multiplication to find missing values:
  

  X	Y
  3	9
  6	?
  12	?

  Solution:

  The ratio X:Y=3:9, or 1:3.

  To find Y when X=6:

  Y=6×3=18

  To find Y when

  X=12:  Y=12×3=36

  Completed Table:

  X	Y
  3	9
  6	18
  12	36

Example 3: Divide to Find the Pattern

• Reverse the process by using division:
  

  M	N
  20	5
  40	?
  ?	25

  Solution:

  The ratio

  M:N=20:5, or 4:1.

  To find N when M=40:

  N=40÷5=8

  To find M when N=25:

  M=25×5=125

  Completed Table:

  M	N
  20	5
  40	8
  125	25

Example 4: Comparing Two Ratio Tables

• Are the ratios in these tables equivalent?
  Table 1:

  A	B
  1	2
  2	4
  3	6

  Table 2:

  A	B
  2	4
  4	8
  5	10

  For Table 1, the ratio B:A is: 2:1, 4:2=2:1, 6:3=2:1.

  The ratio is consistent as 1:2.

  For Table 2, the ratio B:A is: 4:2=2:1, 8:4=2:1, 10:5=2:1.

  The ratio is also consistent as 1:2.

  Conclusion: The ratios in both tables are equivalent.

This focused guide on ratio tables is perfect for students, teachers, and anyone looking to understand ratios in a structured, hands-on way. With plenty of examples and clear instructions, you’ll master ratio tables in no time!

Let’s explore the world of ratios and uncover their amazing patterns!"