Ways to Represent a Relation Foldable
After creating a frayer model over the word relation, we created a Ways to Represent a Relation Foldable to glue in our Algebra 1 interactive notebooks.
I focused on the four representations of a relation that my students will see on their end-of-year exam: ordered pairs, input/output table, coordinate plane, and mapping diagram. My students were convinced that an input/output table was the same as a stem and leaf plot. At least they have heard of a stem and leaf plot…
In 2014-2015, I did this same foldable, but I simplified the inside A LOT. I also made all of the examples represent the SAME relation.
In the future, I would definitely pre-print the coordinate plane!
You asked for advice on your card sort. I've learned that more isn't always better for card sorts. Perhaps you could have divided the cards into two sets of 10 cards. For the first set, you could have left the cards side by side and just let the students choose independent or dependent. With that skill built up, you could have given them the second half of the cards to pair up and then classify. Kids who catch on more easily could make their own pairs, have a few distractors added to their cards, or write about the correlation between the variables.
Thank you so much for the advice! This was the first card sort I ever created on my own. I've always stolen already created ones from others before. There's a definite learning curve. I love the idea of breaking them into sets! That's brilliant. And, having the students who catch on make their own pairs is something I didn't think about at all. I think I tried to make this one card sort accomplish too much.
Thanks so much for the feedback! It was immensely helpful!
Kathryn,
This is a great way to differentiate the activity. Thanks for the idea.
-Pamela
Love the question about whether a potluck is where people get together and smoke pot!
You can just never know what is going to come out of a student's mouth! 🙂
I teach independent and dependent as cause and effect. I make the kids say the phrases backwards and they see just how silly they sound. Love the INB! Always wanted to try one myself… never brave enough.
You should definitely just take the INB plunge. I did, and I haven't looked back since. If you need any help, I'd be happy to answer questions!
One of my students just suggested the idea of a table of contents for each unit, where we could put it, and why she feels it would be useful. I told her it was a great idea, and I think I know just the place to find a template! It's a perfect fit in our journals!! Thank you for sharing your documents. I'm finally integrating more typed foldables and lessons into my journals. I am such a hands on written person; it's hard for me to do. The kids love typed notes and I can tweek them when needed and not have to rewrite the whole thing! If I wanted to post what I have, what's your advice for the best method? Hope your second year is going great. Have a Merry Christmas!!
I'm saving this entire post! I'm a long term sub teaching remedial math and I've noticed this odd gap in the kids understanding that points right at this. They can do the mechanics but don't seem to get the point that one variable depends on the other so they are at a loss setting up problems. Spending some time working through this a second time might help them get it. Thanks, Merry Christmas
I agree! I noticed this gap last year with my students, so I've made it my goal this year to emphasize dependent/independent every single chance I get.
Thanks for reading my blog!
Hi Sarah,
I'm preparing for my unit on functions that I will start after break and going through your resources. I have not taught this lesson yet, but I don't think you should scrap your independent/dependent idea. I can see where the students became confused, because I tried pairing them up myself before looking at the key. For this type of activity, I think there may be a few too many examples. I teach 8th grade, so I will probably use 6 but I think 8 would be a good amount for high school. It is just a lot of reading, and kids tend to shut down when they see a lot of words.
I can see how the examples would have worked when they were presented in ixl.com, because there was only one independent and one dependent variable on each page. When they are compiled as a group, there are too many similarities in the bunch. There are a lot of examples about food, which made it confusing. For example, the number of people they are able to serve could depend on the number of cookies that were baked…
I plan on using the exact same activity with about 6 examples (since I teach Jr. High) and having them be a bit more concrete. One will pertain to weather, one to clothes, one to food, etc. Because the students are trying to decipher if the statement is independent or dependent, not which food group it belongs to. (I know that wasn't your intent)
Thank you for all of these resources!! Your students are lucky to have you!
Thank you so much for the feedback!
On the independent dependent sorting activity I labeled the events that go together with the same letter. Students still had to decide which was the independent variable and which was the dependent variable. It worked wonderfully!
I love this tweak! Thanks for sharing!
Greetings I teach math and I am from Puerto Rico and discovered your site and it has helped me a lot, has great ideas and I'm using in my classroom. In my case it was so hard to take some of the issues but was unable to explain their activities better. Thank you very much for your ideas. Excuse my English but I'm not very good at that language, my language is Spanish.
How awesome! I'm sure your students are enjoying the activities you are creating and modifying for them!
This is awesome! I a excited to try out some of these ideas! Thank you!
Glad I could be of assistance!
We have a theatre company that works with different classes in our high school, teaching concepts kinesthetically. One day Ryan did an activity w/ independent/dependent. At one point he had the students pair up & one followed the other around the room. From that came the discussion of ind/dep. There was much more to it but my memory fails me. Another idea I stole from an 8th gr teacher is X walks, y jumps. It helps w/ graphing but also in that children become independent when they learn to walk. I thoroughly enjoy your creativity & wish I was gifted with half of it! Keep up the good work!
I love this entire post. I enjoy reading your posts and seeing all of your great ideas. I am interested to know how you post the Box with all of the document downloads. Is that an app? I would like to offer materials on my site, but I do not know how to do that. I use Box, so I would love to learn how to do it too. Thanks again!
Hey Denise! Thanks for reading my blog. It means a lot to me. Box probably has an app, but I've never used it. I used the web version of box.com. After I upload my files to the site, it gives me the option to "share my files." I choose the "embed" option which gives me html code to copy and paste in my blog post to make the files appear. Hope this helps!
I'm introducing functions, relations, domain, range, etc. to a very intelligent group of sixth graders and have been reading and reading and reading, looking for the best way to do it. THANK YOU for all the materials you have posted and shared! What an awesome resource you have provided! Due to the age of my students, I doubt I'll use anything else from your blog, but wow…I'm speechless about the help this will give me.
Thanks! I hope your lessons went well!
Thank you so much for sharing the resources you made – they're a big help!
You're welcome!
So, I didn't read all of the comments people posted, so if this is a repeat I apologize. First, I love your creativity and I've borrowed several of your ideas for my own classroom. Second, I found that to get around students not understanding certain lingo I used a few scenarios from things they liked. For example, The number of the Doctor would be paired with how many regenerations he's went through. (assuming you know about Doctor Who 🙂 ) So the IV would be the regenerations since that's what inflicts the change in the number that he is (DV) i.e. the 12th Doctor has went through 12 regenerations. I've used sports points or record sales as well. Anything that they're into that you can put in this type of scenario. Just a thought. Thanks for your helpful blogs!
Thanks!
Sarah, I have saved your blog to my favorites bar. I am new to teaching Algebra this year and you have seriously been a life-saver. Thank you for your amazing work! Keep it coming!!!
Thanks, Laura! Have fun teaching algebra this year!
I love your blog…absolutely love it. I feel like your ideas for INB are so applicable to my classroom teaching. While I no longer teach algebra, I do teach 8th grade math and I feel like I can pre-teach students for algebra with this year's material using many of your ideas. Thank you!
Thanks for reading!
Hey Sarah !! this is so nicely organized and easy to teach. I would love to have these functions cutouts and foldable cutouts in email if you can email me on kparikh@theburlingtonschool.org. I can not save and print it in color. thanks a lot
E-mail sent!
Thank you so much for all your hard work and then sharing it with us! I plan on using this unit as my pre-teaching/review for my 8th grade Algebra 1 students.
I hope it goes well for you!
I love your ideas! I used the independent and dependent cards as an opener for my lesson. I gave each student one of the statements and had them try to find the corresponding statement. Then the pair decided which one depended on the other. This made a great introduction to independent and dependent variables. My students love to move around and collaborate, so this was the perfect way to get them moving and thinking.
AWESOME! I love this idea!
how long does this unite 5 take? i mean how many 45 min period? is there any lesson here that u did not mention, like homework checking, solving problems, test, quiz etc. and i didnt see the page 44(ordered pairs) and 45(part of the coordinate plane), it wasn't posted?
PS: i can download the pdf files, however .pub spurred files cant.
thanks two millions
I'm not sure how many periods this took. I would say we spent 5 days on notes. Then, add in time for quizzes, etc. But, that's just a guess. It's going to depend on your students, their maturity levels, and their previous math backgrounds.
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