Link Sheets and New Groups

Link sheets are my favorite way to help students connect the four representations of a function. This day I used them to help students find new groups. In my honors classes they had seen Link sheets before, so they knew what they were supposed to look like, but my merit classes hadn’t yet done link sheets, so this activity worked great as an intro to them for link sheets.

The Activity

I cut up the sheets below into quarters. Notice that every link sheet portrays a different function. I pass these quarters out randomly to the class and they have to find “the rest of their link sheet”. Or as I explained in merit (since they hadn’t done link sheets yet) “find the graph that matches your table, or the equation that matches your graph, etc.”.

The students then answered the questions on each link sheet (same answers on each sheet but different questions!), and then glued the four parts together on a blank paper.

I used this to have them randomly find their new groups and seats, though they wouldn’t have to be permanent. Once everyone finished, we did a gallery walk.

Link to documents in case the iframe is broken.

Link to presentation of instruction in case iframe is broken.

The Result

Most of the students found their groups after some struggle (yay!). I wasn’t prepared for some students getting it wrong; there was one group in each of my merit classes who sat down with the wrong group, so of course there were people walking around looking for their group when their group had sat down already! A quick remedy of this is to simply check in with every group as they sit down. It took me longer than it should have because I was ready for students to be confused, but wasn’t ready for students to be confident in the wrong answer. Don’t assume that students will check each other’s work!


Here’s a completed link sheet.


They should have labeled the point on the graph, too.


One great thing about this lesson is that I got another day out of the materials, while having the students dig deeper! Because every group only saw one link sheet (their own), I gave them a blank link sheet (last page of the document above) and one slice or quarter[1] of another group’s link sheet. They had to fill out the other three parts with their group.

Once they completed it having started with the description quarter, then I gave them a different quarter as a starting point. With each of the non-description quarters, they had to write a description of a situation that matched the function, which many of them enjoyed! I even motivated one student by talking him through his interests and pointing out that he can write a linear function based on how many youtube videos he creates of his bottle-flipping.

I printed the blank link sheet front and back on two sheets so that they would have four link sheets, one starting from each quarter, by the time they were finished.

This whole lesson and extension took two 47 minute periods in honors, who had taken notes about link sheets previously. Homework the second day was “finish the link last link sheet” but most of the students finished it in class already.

In merit, we did notes as well, so over the two days they were only able to fill out two link sheets in their groups (starting with 2 of the 4 quarters).

Checking Their Work



Another good thing about this is I taped up the completed link sheets from the first activity (that had been glued together) and students were able to check their work as they completed each link sheet by walking around the room and finding the same link sheet.


[1] For merit I modified it to begin with two slices or quarters.


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