Essential and guiding questions:
Whole Group Questions
Write the key understandings that students should come to in the discussion of this task and questions you can ask in the whole group setting to support arrival at these key understandings.
The Model:
- How did you model the class?
- Did anyone do it differently?
- Are these solutions correct?
- Which model seems easier to use to you?
The Fractions:
- What is ¼ of 20? What is ½ of 20?
- How did you decide that these were the answers?
- Did anyone decide differently?
- Do both of these processes work?
The Context:
- What would happen if the class had 15 students in it?
- What is ¼ of 13? One‐half of 13?
- Can we have fractions of people?
Multiplying a Whole Number Times a Fraction:
- Can anyone see a relationship between the numbers ¼ and 20 that gives us a clue how to solve this without models?
- Do you think the relationship a×(b / c) = (a × b) / c always works?
- Can you give me another example of this in the problem?
