Hoppe Ninja Math – Teacher Blog

Algebra Ideas

Linear Graphing Project

on January 11, 2013

I haven’t posted in awhile.  I thought the longer you were a teacher, the easier it would be.  This is my eighteenth year and it seems like I am working harder than ever.

I love this project and I hate it.  I have been doing it for the past several years, each time tweaking it a little bit more.  The project forces the students to really understand linear graphing, but it is a pain in the butt to grade because all of the students have different answers.  This year, I tried having the students turn it in after each section was filled out so I could make sure they were doing it correct at each step.  I’m not sure it helped.  I still ended up only checking some of the linear equations.

1.  Students make a picture on a large coordinate grid, using only straight lines (beginning and end points at intersections are preferable, but some kids just insist on half points…argh!  Yet more difficult to grade.)

2.  Students choose 10 lines (at least one horizontal and one perpendicular) and write their coordinate endpoints.

3.  Students use the coordinates to write the domain and range for each of the 10 lines.

4.  Students use the coordinates and/or the drawing to the determine the slope of each line.

5.  Students use the coordinates and/or drawing to determine the y-intercept.

6.  Students write the equation of the line.

7.  Students write the equations of two parallel lines and explain algebraically why they are parallel.

8.  Students write the equations of two perpendicular lines and explain algebraically why they are perpendicular.

There are so many other things that could be added on like writing the equation in standard form, also, or even include systems, and inequalities for the coloring.

I really wanted to have my students try to use desmos.com to recreate their pictures, but most of the time they end up so intricate it wouldn’t look right if they only did the 10 lines, or even 20, but I am sure some of them would have done all of the lines.  I will suggest in the future.

In the past I have done this as a final project for our linear graphing unit, however, this year, I thought we would work on it throughout the unit.  Still not sure if that was better.

I prefer to only use projects that are individual for each student, so no one can copy.  I also allow the students to keep turning it in and revising until it is perfect.  The kids are so happy when they finally see it posted on the board, because that means it is perfect.

Linear Designs Wkst

Graph paper:   http://www.math-aids.com/cgi/pdf_viewer.cgi?script_name=graphing_coordinate_plane.pl&size=1&numbered=1&memo=&x=73&y=28

Examples I have made:

8 Responses to “Linear Graphing Project”

  1. I like this idea a lot! I have done something similar to this with my advanced algebra classes after we do conic sections so they have a plethora of different types of equations under their belt. I might use this just for my lower level algebra II students. I really like the worksheet!

  2. Amy B. says:

    I was planning something like this for the first time this year, but ran out of time. My thoughts to make the grading easier was to make a spread sheet with formulas, so all I would need to do is to input the students’ coordinates and the spreadsheet would do the math for me to figure the slope and y-intercept. I could then double check the work for answers that didn’t match up with the computer.

  3. Ashley says:

    I just came across this site. Thanks for sharing all your great ideas! To grade this use http://www.wolframalpha.com Just enter your two coordinates and it will tell you the equation 🙂

  4. Janette Zurliene says:

    I have done a very similar project for years. However, I have the kids type their points into a spreadsheet which will then print out an answer sheet to grade against their calculated equations. It makes it very easy to grade.

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