Solving Ratio Problems Using Double Number Lines

This video tutorial teaches how to solve ratio problems using double number lines. It reviews solving with tables using addition and multiplication, highlights common mistakes, and introduces double number lines as a new strategy. The tutorial emphasizes maintaining the ratio relationship and provides examples to illustrate the methods, ensuring consistent results across different approaches.

What is the correct amount of grape juice needed if you have 12 cups of apple juice, using the ratio method?

• 6 cups

• 8 cups

• 10 cups

• 12 cups

What mistake might students make when using ratio tables?

• Ignoring the ratio completely

• Using subtraction instead of addition

• Adding the same number to both rows

• Multiplying both rows by the same number

What is the first point marked on a double number line for solving the ratio problem?

• 12 cups of grape juice and 8 cups of apple juice

• 2 cups of grape juice and 3 cups of apple juice

• 0 cups of grape juice and 0 cups of apple juice

• 4 cups of grape juice and 6 cups of apple juice

How do you determine the next point on a double number line after marking the initial ratio?

• Subtract 1 cup of apple juice and 1 cup of grape juice

• Multiply both by 2

• Add 3 cups of apple juice and 2 cups of grape juice

• Add 1 cup of grape juice for every 2 cups of apple juice

What is the benefit of using different methods like tables and double number lines for solving ratio problems?

• They are faster than using a calculator

• They provide different answers for comparison

• They help in understanding the problem from different perspectives

• They are only useful for complex problems