3 New Desmos Activities: Talkers & Drawers

Goals of the activity:

Students will:
  • Begin to recognize characteristics of linear, quadratic, or periodic functions.
  • Generate a need to use proper vocabulary around linear, quadratic, or periodic functions.

Specific recommendations:

  • The “talker” cannot use their hands and should keep them behind his/her back. This will help the student be careful and direct the language they choose to describe the graph.
  • The “drawer” cannot talk.
  • Set a time limit. Possibly 3-4 minutes for the “talker” to describe the graph to the “drawer” with the goal to reproduce the graph.
  • Consider having all the “drawers” reveal the graphs at the same time for dramatic effect.
There are three different versions of the activity based on topic
Links to the three activities:

What the student experiences:

Once students choose a role tell them “Talkers, your goal is describe the graph perfectly to the drawer. Drawers, your goal is to listen carefully and without talking try to match the talkers graph. You will have 3 to 4 minutes for each graph.
When the time is up, tell all the drawers to click the REVEAL button at the same time to see how close your sketch was.
 

What the teacher experiences:

While students are describing and sketching take time to listen to the words they use. Store these words for later in the class so you can link them to the proper names.
Example: 
You heard Jose Adem Chain say, “The pattern starts at 2 and goes up…” If most students are using the phrase “starts at..” We can introduce the term y-intercept.
Or on the periodic function version:
A student might say, “…it does that and then repeats 4 units later” You now have a gateway into introducing the period of the function.
After each round use the Teacher View to showcase some student graphs to the class.
Consider restricting the students to the current sketch and move from sketch to sketch as a class.
Last question.

The words generated on this slide will most likely be informal. As a class discuss the informal use of the word and then introduce the more formal words relating to the topic.
Inspired by Brian McBain and also the team at Desmos

Being Picky – Ignite Session OAME 2017

Giving an Ignite talk can be a rewarding but also super terrifying experience. For me it was both. Session participants create exactly 20 slides which will auto-advance every 15 seconds giving a total time of 5 minutes. This year, for the second time OAME invited me to participate in their Ignite session at the 2017 conference in Kingston, ON (my home town).

I wanted to share with you my talk:  Being Picky: How we choose lessons and tools for our classroom.

You can read the transcript with slides below.

I was inspired for this talk by fellow teacher Andrew Stadel and it begins with coffee makers. Here is the super deluxe coffee maker that I was looking to buy for a long while! It has all the bells and whistles, timer, auto shut off, and even a grinder.
and then this baby slides in which is arguably the easiest coffee maker to use in the world, it has only three buttons. I had to make a decision. I wonder? Which would you choose? Why? The why is most important part of the conversation it’s what dictates your choice. That’s because we humans are picky. We’ve got lots of reasons to like what we like. We create a set of criteria based on our wants, needs, beliefs, values. I could swap out coffee makers here for
tv shows or computer choices or hair styles and you’d have lots of opinions, conversations, disagreements, maybe even regrets. How many of you had those haircuts……come on….don’t be shy! I knew you did!

We could also swap those out for our lessons and activities. It’s important that we think about what we want in our lessons to create good student learning opportunities. We need to think critically how lessons we get from others fit into our core beliefs of good learning. For me, I have four criteria I use to evaluate all of my lessons
I want ALL my students to show me their thinking and understanding in interesting ways. I want them to show me what they think first instead of just telling them what to think! I want to open up the questioning that goes on in my room. So I look and create lessons that allow for this.
I want my students to discuss, collaborate, argue, defend, and justify with each other. I believe this helps clarify their learning and understanding so I must make sure that discussion and collaboration happen in my best lessons.
I am always assessing! I’m constantly looking to see who gets what we are doing and who needs help. I need to be able to assess quickly the abilities in my room so I can use that on the fly to decide where to go next. Assessing easily must be apart of my lessons.
Every lesson or activity must have a ratio between the cost of set up and the payoff where the payoff heavily out weighs the set up. Nothing is worse than spending a huge chunk of time, making, cutting, designing and then when you run it the learning outcome wasn’t worth it. The payoff must out weigh the set up.
These are things I value in my lessons so naturally I must select lessons and tools that allow me to meet this criteria! One tool that I use regularly and meets all of these criteria is

A whiteboard. Students can easily show off their learning. They are quicker to get to writing on a whiteboard than on paper. Especially when the boards on the wall. Students get to defend, argue, justify their thinking with each other. I can easily see if students are understanding and the set up ratio is a no brainer. Here’s a whiteboard, marker….Go!
As technology advances it becomes a bit more difficult to choose what we want to use. There are literally thousands of apps, websites programs that are in ED tech and globally it’s an $150 billion dollar industry!! And I know that all of those companies out there didn’t create their software with my criteria in mind. I only want tools that fit my criteria!! So I throw away programs/apps/websites/tools that don’t meet it and keep the ones that do meet it. I want to share two tech tools that meet my criteria and one that doesn’t. First up…

The activities on teacher.desmos.com are amazing and meet my first two check points. Through carefully set up prompts my students can easily show me their thinking in a variety of ways. Their new conversation tools make it easier for us to consolidate and class discussions have never been more interesting.


It also meets my second two criteria. I can see in live time what the students are working on. It gives me the feedback I need to decide to go further. The set up can’t be easier. There are hundreds of pre-made activities ready to just click and run. Just grab a device.


Freshgrade is online portfolio tool that meets my criteria. Showing thinking through pictures is the beauty! Discussions can occur easily and assessment is a snap…which drives where we go next.


Kahoot has been pretty popular lately. Students answer multiple choice questions in a game like format competing against the rest of the class. However, It doesn’t allow my students to show their learning in interesting ways…..just a right/wrong selection. We can have discussion about the ideas but the questions are timed putting a rush on my students thinking and I don’t think that helps good learning.


Assessment is tied in but I see class scores not individual achievement. But hey, its super easy to set up!!! Since it doesn’t meet most of my criteria I decide not to spend time creating on it.


These are my four criteria for lessons and tool selection. If a tool doesn’t meet the criteria then I don’t use it. Our time is valuable. I don’t want to spend time on learning something if it doesn’t fit into they way I think good learning happens.

Going forward you have homework. You need to decide: What kind of lessons do you want in your room? And then create the criteria that will help you evaluate the lessons, activities, tools you get from co-workers, friends, online, or at conferences like this. Be picky! We trust you!

End of transcript

I’d like to thank Andrew Stadel for this post on his Tech Tool Criteria and also Kyle Pearce for feedback and  suggestions and listening to me rehearse!

What are your criteria for activities and tools? Feel free to share them with me through email, twitter, or here in the comments.

Fav & Fix – Dec 1

For the Favourite & Fix series I’m posting one idea from my lessons that week that was my favourite and one topic that I need help on. Something I hope to fix. I’m hoping that in the comments or on Twitter (#Fav&Fix) you amazing readers can help me out with some hints, tips, and suggestions.

Favourite: The Cheating Quiz

This week I gave a quiz to my grade 9 applied students. It consisted of 4 questions – Two on linear relations and two on reading distance-time graphs. After the quiz was over I said “It’s time to do a little cheating.” Each student is to find another student they were comfortable sharing their work with. I said, “For question 2 only, share your work with each other. Discuss what you notice about each other’s solution. Do you have the same? If you have different solutions who is more right? After you discussion go back and adjust your solution if you need to. Hand in after.

I really enjoyed listening to them share. It was interesting to see how they defended (or didn’t defend) their answers. After reviewing their new work on that question it not only gave me insight into that one students thinking, it gave me some insight into what their partner was thinking too. For the student below I can see some really good thinking about how the linear relation changes. But now I know for both of these students we need to have a discussion how the increase of 100 every 5 people affects the equation. Looking at each students paper in the room now tells me a lot more about my class’ understanding compared to not having a “cheating quiz”

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Fix (just a comment)

My MEL3E class is coming off a two week themed activity where we designed, built and launched rockets. Today we were completing the Sugar sugar Desmos Activity and a student says to me: “When are we going to do something fun?” I relply, “Fun?”….he says, “yeah, like watch a movie.”

I’m not one to show movies in class. 

Why do students always equate fun in class with movie watching? How does the student who just smiled through two weeks of math class, built and launched rockets, helped me fix the launcher numerous times, and today, yes today, defended his choice on which sugary cereal was the best choice not know he was having fun?

I guess enjoying class does not equal “having fun”.

Math class doesn’t have to be fun…just worth it. 

MEL3E Day 24 – Shortest Routes with Desmos

Warm Up: Estimation 180

Since last week we did the 1/4 cup of candy corn today we looked at estimating how many would be in the big bag.

We remembered that there was 19 candies in the 1/4 cup. For their too high and too low today I also had them find how many scoops of candy that would be. For example, Joey said too high might be 1000. So I had them determine how many scoops of 19 that would be. I then asked if this now still seems too high?

After all students had voiced their best guess and how many scoops it would be I showed the answer:

I asked them how Mr. Stadel determined the answer of 893 if he didn’t count. I let them study the info shown. Shanice piped up, “there was 47 scoops….so 19 x 47 = 893.”

Today we switched strands from Saving & Borrowing to Travel and Transportation. They all got out an iPad and went to this Desmos Activity.

The first problem has students drawing a route from our school to a Tim Horton’s. I asked them to try to draw the shortest route possible.

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This had them hooked. Each wanted their route to be the shortest. screen-shot-2016-10-11-at-11-28-30-am

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I took time here to show different routes students had drawn.

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As a class we moved to the next screen where we estimated the actual distance.  A student pointed out that the map image had a scale in the bottom right corner. A small section was labeled to be 200m. They used that to help estimate the distance for their routes. But we needed a better way to determine who would have drawn the shortest route! Moving to screen 3 we used the points to determine the “map distance” for each section of our route.

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Students filled in a description of each leg of their route and the distance in map units.

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Click to download a copy.

We measured the scale at the bottom to create a scale factor for this map.

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I demonstrated how to use the scale factor to determine the actual distances in metres and kilometres. We went around the room voicing how far our routes were to see who had the shortest!! Moving to the 4th screen showed what Google would say.
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That was problem 1 out of 5 in this Desmos activity. We started problem 2 but did not finish it. Tomorrow’s work!!

Having the students guess the shortest route first allows them to try something informal before we try to formalize it with actual distances. Desmos’ sketch tool allows them to draw, erase, undo, and re-draw those routes. The ability to wipe away their trials is so valuable. It allows them to take risks. It allows them to get deeper into their understanding.

Give it a try. I feel I’m missing some extension questions, or questions that dig a little deeper. Can you help me out and leave me some feedback in the comments? Thanks.