In this lesson, students solve percentage problems with less scaffolding and engage with all three kinds of questions that are commonly asked in situations where of is :

• What is of ?
• What is if of is ?
• What percentage of is ?

In the Warm-up, students reason about what percentage one whole number is of another whole number. (Most problems involve benchmark percentages.) In the main activity, an Info Gap, students practice identifying information that they need to solve percentage problems, asking for the information and solving the problems.

Unlike in earlier lessons, no blank representations or intermediate prompts are given, so students need to choose approaches that seem appropriate. They may opt to use a previously introduced representation or to reason more directly, by applying insights about the relationship between percentages and quantities from earlier work.