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This Warm-up prompts students to carefully analyze and compare features of expressions. In making comparisons, students have a reason to use language precisely. The activity also enables the teacher to gain insight into students’ understanding of properties of operations and how they talk about them. This activity prepares students to reason flexibly and to use multiple strategies (including writing different expressions) to solve word problems later in the lesson.
Which 3 go together?
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Going on a Field Trip Cards
In this activity, students encounter a multiplication problem that can be reasoned in a number of ways. After finding a solution, they analyze several other strategies. As they make sense of alternative solution paths and representations, students practice reasoning abstractly and quantitatively (MP2).
There are 45 students going on a field trip to a museum. Tickets for the museum are \$18 each. Teachers have \$900 to buy tickets for the trip. Will this be enough money to buy a ticket for every student?
If yes, will there be any leftover money? How much?
If no, how much more money is needed?
Your teacher will show 5 strategies for answering the first question. Analyze the strategies.
Consider offering students an option to create and stand by their own poster. During the Activity Synthesis, ask the class if they see any connections between the new poster and the strategy they selected.
Students begin the activity by looking at the problem displayed, rather than in their books. At the end of the Launch, students work on the problem. This activity prompts students to use what they know about multiplication, division, factors, and multiples to solve problems. The problem does not have a question, so students will need to make sense of the context and generate potential questions that might be answered (MP2). Students are encouraged in the task to attend to the details of the situation and to engage in genuine curiosity about the mathematics that is embedded within it.
This activity uses MLR5 Co-craft Questions. Advances: writing, reading, representing
MLR5 Co-Craft Questions
Movie tickets are \$9 each. The theater sells the same number of tickets 2 days in a row.
The theater made \$3,132 from ticket sales on the first day.
Record and answer one question of your choice from the list the class generated. Discuss your strategy with your partner.
Use the given information about movie tickets to complete the following statement:
__________ tickets were sold on the first and second days.
“Today we encountered problems with more than one step that can each be solved using different strategies. For instance, we saw at least five ways to think about the product of 45 and 18. Some of the strategies involve using multiplication and division equations, or multiplying and dividing mentally.”
Display the five strategies from the first activity and students’ reasoning from the second activity.
“Look back at your work today. Can you find an example in which you solved a problem by using more than one step?”
Record strategies and discuss how strategies were used to address different steps in the multi-step problem.