Classifying Ratios Using a Decision Tree

This lesson teaches how to classify ratios using a decision tree. It covers part-to-part, part-to-total ratios, and rates, highlighting common mistakes students make when confusing these types. The lesson provides a decision tree method to identify the type of ratio by asking if the units are the same type and if one unit is part of the other. Examples are given to illustrate each type: a rate (3 blocks every 2 minutes), a part-to-part ratio (3 boys for every 2 girls), and a part-to-total ratio (3 boys for every 5 students).

What is the definition of a ratio?

What mistake do students often make when dealing with ratios?

How can you determine if a ratio is a part-to-part ratio or a part-to-total ratio?

Provide an example of a part-to-total ratio.

What are the three types of ratios discussed in the lesson?