Weaving is important because it helps with hand eye coordination, and helps build neural pathways in the brain that nothing else can quite make. I teach weaving in some form or fashion to just about every grade level most years. It is a great end of the year project. You can just bliss out with your classes making things out of yarn, everyone is usually pretty chill and quiet when weaving. Or you can make it an ongoing project for people to pick up at the end of projects all year.
Here are all of my weaving projects from K-5. Feel free to grade up or down as you see fit. If I do more at any point in the future I will be sure to put them (or link to them) here.
Kindergarten paper weaving
This is a great intro to weaving. You could also do this at the beginning of another weaving project if you were so inclined (in fact I do just that as a review often.)
And here is a lovely video on Youtube of someone making one from start to finish!
This can become so many different things, and become quite complex, it just depends on how you teach them.
The lovely Cassie Stevens whose blog you should really be reading made a great video series of the whole process. She uses yarn as the warp, so It is a little different. And here is a video of another way to do this all together.
Its Circular because of the shape of the weaving when it is done. You can use a square loom if you want, or make it into a circle, or use a plate.
Keep going until you are happy with it.
Another Cassie Stephens video series explaining how to do this, again it is a little different then mine.
I have every intention of putting process photos of this up. I just didn't have time to get to it. You can watch this video here to see how to do this type of weaving on the plastic loops. It is the same as on the tubes, just bigger and nicer. I think she makes casting off more complicated then she needs to, but over all it is a good video.
Cardboard loom weaving
You don't have to use cardboard! You can buy chipboard looms that are already notched. I happen to have a ton of cardboard in my life, and no space to store chip board looms.
See how the cartoon helps guide your weaving.
Here is a NEAT video that I just found and will be showing to all of my 4th graders before weaving from here on out. (Uses some vocabulary that doesn't match the standard, but very cool stop motion.)
There might be some disagreement about weather or not hemp jewelry/ macrame should be included in a weaving presentation, but personally I am always ending projects with 5th grade at weird times, and need something for the last few days right at the end. We don't always get there, but when we do it is so much fun. I did not take process photos when I made my samples, but here are some videos that would explain the whole thing better then me anyway.
Making a wish bracelet would be a good easy way to introduce this project, pretty much every 5th grader knows how to braid. Once you get into real macrame you have the spiral knot, the slightly more complicated square knot, and the much more complicated alternating square knot. Here is a text website with process photos of the first two, if you would prefer to not look at a video.
To finish the whole thing off you have a few ways to finish off a macrame jewelry piece, and a sliding clasp if you are feeling fancy.
For more resources you can also visit Susan's Wiki. She first taught me several of these techniques so you should check that out.
And here is a basket weaving I did once.