Students will be able to distinguish between proportional and non proportional relationships and determine a constant ratio between y and x, called the constant of proportionality.

The origin makes all the difference in this relationship.

10 minutes

**Opener: **As students enter the room, they will immediately pick up and begin working on the opener. Please see my instructional strategy clip for how openers work in my classroom(Instructional Strategy - Process for openers). This method of working and going over the opener lends itself to allow students to construct viable arguments and critique the reasoning of others, which is **mathematical practice 3**. **Learning Target: **After completion of the opener, I will address the day’s learning targets to the students. In today’s lesson, the intended target is, “I can distinguish between proportional and non-proportional relationships and identify a constant ratio between quantities.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day). **Note from Me! **This lesson requires that students display data in multiple ways - graph, equation, table, verbal. Students have to reason quantitatively and abstractly (**mathematical practice 2**) to develop these multiple representations. Problems require students to model real world scenarios (**mathematical practice 4**). By looking for patterns (**mathematical practice 7**), students will be able to determine whether relationships are proportional or not.

2 minutes

**Table Discussion: **As a summary to this lesson, I am going to ask that students have a table discussion on what distinguishes a proportional from a non-proportional relationship (see video - **Instructional Strategy – Table Discussion**). After students have time to discuss in their tables, I am going to ask each table to add one idea to the proportional/nonproportional table that I have drawn on the side board.

Homework: After the table discussion I will pass out the homework, which consists of more test prep questions on proportional relationships!