The students consider a proportional reasoning problem by first anticipating how many groups of a one car’s journey fit into another car’s journey.
For use in a classroom, pause the video and ask these questions:
1. [Pause video at 0:58] Kate said, “There is 10 in both of them.” Ten what? The teacher said, “How many groups?” Groups of what?
2. [Pause video at 1:51] What are the units for each number in the two equations?
When engaging in the tasks in class, invite your students to attend the quantities in a problem by asking them:
1. In this problem, 4 is a number that enumerates a quantity, the time it takes for the blue car to finish a 10-mile journey. Work with your neighbor to make a list of all the different quantities in this problem.
2. Ask students to share a quantity that they noticed. Ask who else has this quantity on their list. Ask if a student has another different quantity to add to the class list. Continue this process until there are no more new student contributions.