# Linear vs. Nonlinear Relationships from Graphs

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This lesson is designed to help students look at a graph and classify the relationship as either linear or nonlinear. It is aligned to SE 8(5)(C) of the (new) Texas Essential Knowledge and Skills for Math 8, and it includes a PowerPoint presentation, a corresponding notes page, and a “snip and sort” activity.

The presentation was created in PowerPoint 2007, but has been packaged such that it *should* run well and retain its formatting in any version of PowerPoint (and, according to Microsoft, even on machines running Windows 2000 or later that do not have PowerPoint installed). The presentation is lightly animated (with appearance effects only) and contains 13 “teaching slides.” The slides present relevant vocabulary, two in-depth examples (one linear and one nonlinear), six guided practice problems, and three graphs for independent practice.

The complete PowerPoint (without animation) is included in the preview so you can get a sense of what the slide show covers. You're also welcome to view the video I created using a version of this slide show here. Please keep in mind that the PowerPoint available for download here is slightly different than the one I used for the video; I'm just sharing the link so you can see how the animations work and get a sense of how I'm using/narrating it for my (special ed inclusion) classes.

The corresponding double-sided notes page (see thumbnail images above) provides a graphic organizer for vocabulary, a section where students can follow along with the two examples, a section for students to do the guided practice, and a section for students to complete three independent practice problems.

The “snip and sort” activity instructs students to cut out the 8 provided graphs and classify each graph as either linear or nonlinear by placing it appropriately on a graphic organizer. After verifying that their work is correct, students glue the graphs onto the organizer. This creates a nice visual presentation that both reinforces the lesson and serves as a reminder throughout the school year when students refer back to it. My students keep their notes in a binder, so the file includes a T-chart organizer page, but those who use composition books could easily have kids glue their graphs directly into their interactive notebooks. I included the key as a thumbnail image so you can see what the completed activity looks like.

Required Materials:
- Computer and projector
- A copy of the notes for each student (double-sided)
- A copy of the Snip & Sort activity for each student
- Scissors
- Glue

Permissions and Restrictions:
This product carries a multiple license, which means that you can share it with colleagues within your school system (on a non-commercial basis) for no additional charge. I ask only that you do not place any part of this product (or any derivative works that you may create with it) on the Internet. For more information about that, please see the copyright page in the product preview.

Related Resources:
For a fun activity on relating linear relationships expressed as tables, graphs, and equations, check out my Multiple Representations Musical Chairs resource.

Thanks so much for dropping by my store, and I hope you and your students enjoy these activities. Your questions and feedback are welcome and appreciated! If you would like to receive a notification when I post new products (I list them for 50% during the first 48 hours), click the green star next to my name to follow me.

Texas Essential Knowledge and Skills:
8(5)(C) The student is expected to contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation.

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