Essential and guiding questions:
Using the 5 as a scalar:
- Tell me what are trying to determine?
- What are some different strategies that we can use to help Sam decide?
- Who can help me write the repeated addition of $2.25 as a multiplication equation? What does the 5 represent?
Partitioning the five days:
- Someone took the cost for lunch and grouped them into 2, 2, and 1. How did this help? Can we group the money in different ways? Will that change the value?
- If we already have 5 x $2.25 for repeated addition, how can we write an expression if the money was grouped? How are those expressions related? Where is the 5 in this expression?
Partitioning the money:
- I noticed that some of you decided to take $2.25 and look at it as $2.00 and $0.25. How did this help you? How many groups of $2.00 did you have and how many quarters did you have?
- If we already have 5 x $2.25, how can we write an expression with multiplication for the dollars and quarters? How is this related to the other expressions that we have? Where is the $2.25 in this expression?
