Proportions Lesson 5 Episode 1 (Teachers)

Making Sense

Download Math TaskLink to Geogebra applet

Kate and Christopher compare two different ways of reasoning – multiplicative reasoning and additive reasoning.

Episode Supports

Focus Questions

For use in a classroom, pause the video and ask these questions:

1. [Pause video at 1:56] Christopher says, “It is just adding 6.” 6 what? What is the 6 being added to?

2. [Pause video at 2:45] Kate said “hoping.” Christopher says he heard 4 miles for every 3 minutes. How would you revoice Kate’s observation?

Supporting Dialogue

When engaging in the tasks in class, invite your students to attend to and critique the strategies of others:

1. Pause the video at 3:19. Kate and Christopher just said that both solutions might work. Talk with your neighbor about that. Can both solutions work?

2. Resume watching the video through 4:03. Work with a neighbor to create an argument to explain why one way worked and one way did not work. Prepare to share your thinking with the class.