LARGE Whiteboards: GET 'EM!

This post is simply a way for me to quickly document/share a few ideas on large whiteboards.

I went to Home Depot and did the following:

• Found the large whiteboard sheets: 

• Had someone make two cuts:

• I get one large whiteboard and two smaller boards:

• Took home and sanded the corners to get rounded edges:

My classroom desks are in groups of three or four, depending on my furniture, space and mood. Besides using these boards for 3-Act Tasks, here are my favorite everyday activities:

• Placemat:

Students are given a question to work on. Each student carves out a section on their whiteboard to solve on their own first. As you can see, there's an open space in the middle.

Once students are done with their individual work, they discuss what their group answer should be and write it in the middle section. This really allows students to compare their work with their peers and give each other support, especially for those who might be stuck or need a nudge. Great everyday use and for review activities like Race Car Math. 

I. LOVE. PLACEMAT!

• Brain Dump

Brain dump: Project something and have the students write down everything they know about it in their section. Then they compare and contrast as a group before sharing whole group. You could also do a Notice/Wonder (a la The Math Forum).

• Number Talks and/or Circle Maps

Put the timer on and ask students to write as many ways as possible to get to -100 or whatever you fancy. GO!

The Home Depot boards can be a little weighty. If you have the budget, I’d recommend you first look into the large whiteboards from whiteboardsusa.com. They weigh less, have a slightly better writing surface, have rounded corners, and have a carrying handle for kids to easily carry around the classroom. You can get a set of 10 for a little over $100. Top-notch whiteboards. 

I use cut-up dark t-shirts and socks as erasers. There are plenty more things you can do with whiteboards and I've documented some of them in a few blog posts. Probably the best investment I've made as a teacher. At teacher trainings, workshops, and conferences, I'm practically begging teachers to get these whiteboards in their classrooms.  

Now, I have a blog post in which teachers can refer to. But, here are more awesome additional uses of whiteboards. Nathan Kraft outfitted his entire room with whiteboards, inspired by Alex Overwijk. Don't miss Frank Noschese pioneering all this whiteboard magic. You can see Fawn Nguyen using these on a regular basis too.

Huge style points for them all!

Whiteboards,

1011

Barbie Zip Line

Inspiration from Matt, John, and Jedidiah helped me shape my Barbie Zip Line task today. Whenever I prepare new tasks for my students, I have been trying to keep mathematical modeling, student ownership/creativity, performance tasks, and openness in the back of my mind. That's a lot, right? Plus, there's a hundred other little things, but let's focus on the list above. As I reflect on today, I'll share how I would improve this for next time.

Supplies (in order of attachment):

• Barbie doll, or an action figure like G.I. Joe, Superman, or Captain America
• Velcro: One-wrap (don't get Sticky Back)
• Carabiners
• Swivel Spring Snap (optional)
• Fixed Pulley
• Rope (thin enough to fit through the pulley)

My first piece of advice after learning from today: don't skimp on the pulley system. I made two and I should have made (bought) more. I would spend the money and have enough pulley systems for the number of groups you plan on having. Second, you could connect the pulley straight to the carabiner and avoid using (buying) the swivel spring. Third, velcro (harness) is the best way to quickly attach your pulley system to the zip line rider.

Buy enough rope so that you can have lengths that are 10 feet apart. In other words, have different rope lengths: 30 ft., 40 ft., 50 ft., 60 ft., etc. This will play well into the mathematical modeling part of the task (see below). It will also help make it easier to get the pulley systems on and off of the zip line. Solving the task yourself will also help determine the rope lengths you'll need for your school site.

The task (handouts found here):
Depending where (and who) you teach, some students have been zip-lining before. Ask! It never hurts. Maybe they can share their experience. Plus, this gives you a chance, at some point (if you feel necessary), to talk about how they're sitting in front of you, ALIVE, because someone was able to do some solid math and build a sound enough structure for them to zip line on. Just sayin'.

I low-balled my students today on their budget. I should have raised it to $2500 or $3000. Figure out what will work for your site. However, this mistake allowed me to give some early finishers an extension: find a more reasonable starting budget.

Here are the opening costs of your zip line company:

Students had to receive approval from their Summer Academy principal by showing their designs. I highly encourage this move. Students see someone else taking a vested interest in their learning. The principal gets an informal glimpse of your classroom. And students have to be prepared to explain the math and their problem-solving approach. If your principal is unavailable, get someone else: teacher, custodian, campus security, etc. It could be you, but you're already doing the formative approval (assessment) in class.

All these prices can change depending on your tastes. I included a liability insurance just for fun. The materials for the harness and pulley system need to be of high quality, so don't make them cheap. $50 might have been too cheap. The most important material is the steel cable (rope). This will help create multiple solution strategies. It's beautiful. Overall, I was pleased with my price points.

I found that having students create three rides is essential to this task. At least three rides. Sometimes tasks generate such a strong focus on the ONE CORRECT WAY to construct an answer or problem-solve. This adds pressure and can rob students of discovering mistakes or playing around with numbers. By creating separate zip lines for both certain death and boredom (getting stuck), it does many beautiful things.

Students innately know what type of zip line would kill barbie: a steep zip line. They can sketch that on their whiteboard, no problem. On the flip side, students have a good understanding of a boring zip line: practically a horizontal line. They can also sketch that on their whiteboard. Both sketches can be done without using numbers, formulas, or mathematical notation. It creates an entry point for all students. So here's what they had to say:

Leyla: We have a chance to see what not to do.

Trevor: It reminds me of when we do Estimation [180] and you ask us to give a too low and too high. It helps us find a reasonable number in the middle.

Deena: It shows us what a wrong answer or zip line would be.

Students were able to draw steep zip lines, label the height 20 feet, guess the ground distance to be about 5 or 10 feet, and use the Pythagorean Theorem to calculate the length of the cable (hypotenuse).

Mathematical Modeling and Multiple Solutions:
Students were able to design their own zip line by playing around with the numbers between their certain-death zip line and boring zip line. I told them to dream big on the whiteboards as if money wasn't a factor right now. Most did. Most.

I had a couple groups first figure out the cost of all the materials ($700) and subtract it from the $1500 budget, giving their group $800 to spend on cable. With $20/foot, they could use 40 feet of cable for their zip line. They identified the height and the hypotenuse of the right triangle. Impressive.

One of these two groups felt this wasn't enough cable and it was still too steep. Michelle had been zip-lining in real life so she knew. This was my mistake, but it turned into an opportunity for me to extend this task. I asked them to create a new budget for me so the cable was longer, but within reason. If you need more of an extension, have them come up with a formula to determine the amount of cable and distance on the ground, given a specific amount of money.

Before they could go outside and test their zip line, students had to complete this list:

I had students transfer their work to their graph paper composition books before they took it to the principal. I'll insert some pictures:

Here's the permit:

It was a blast! Students loved it. Here's another extension:
Have students design a system that gets the pulleys and/or dolls back up to the top of the zip line.

[insert video here]

By the way, I did teach the Pythagorean Theorem in there somewhere. Where? You might ask. I don't remember: ALL throughout the task. Use discretion. Some students need it first. Some need it after you've let them mess around on the whiteboards.

Zip,
1152

CMC South 2013

Here's my recap on CMC South 2013... or how I developed a man-crush on Robert Kaplinsky.

Thursday night:
I drove out to Palm Springs and met up with Karim and Fawn. We found a nearby casino, math-chatted, and then landed at the roulette table where $20 lasted me for a good chunk of time. I broke even and called it a night.

Friday:
Fawn and I spent the first session reviewing our presentation in the lobby on my laptop. Poor Fawn, I think she was regretting her decision to present with me.

We reached a point where we couldn't think of anything more to review so we walked over to Robert's session at the Hilton. Lucky us, we were able to sit with John Berray, Avery Pickford, Breedeen Murray, Karim, and John Stevens.

You can read a better recap of Robert's session at Dan's blog. Robert did a fantastic job. He really did. Therefore, I guess I should explain my man-crush now, right? I think Robert has such an edge right now that the #MTBoS, math community, and those in education can all benefit from. Follow him on Twitter, use his lessons, read his blog, and get him to your school for some trainings or to observe... because he's totally willing. He has an edge because he's still in the classroom working with both students and teachers in his district. He's eager to ask questions that will make him better while at the same time will share the mistakes he's made and how's benefited from them. He delivered a stellar session that was informative, humble, resourceful, fun, engaging, honest, and necessary. Seriously, we need more Robert Kaplinskies out there working with both teachers and students. Follow him on Twitter, use his lessons, and read his blog. Lastly, if you get a chance to meet Robert and spend five minutes talking with him, you'll quickly see that he's interested in what you do and is more than willing to be in your classroom so he can observe and learn. He eagerly wants to improve his craft in education, learn from others, and find ways to be more effective at what he loves doing. Very inspiring!

Fawn and I presented after lunch. The title of our session was:

It was such a pleasure to collaborate and present with Fawn. She came up with this great math task and I look forward to presenting with her again at CMC North. She's probably dreading the thought of presenting with me again! Not to spoil anything for our CMC North session, we had attendees use snap cubes to build something that involved income and a building cost. The task required strategy, problem-solving, collaboration, and a lot of calculations. Groups were required to present their calculations, information, and reasoning on their giant whiteboards. How vague was that description? Don't worry, we'll post more after CMC North. In the meantime, here are some pictures from our session:

The man! Robert Kaplinsky!

Avery Pickford: our winner!

Some attendee quotes a la Quotes of the Week style

Thanks to all those who helped enter calculations, pass out things, clean up or kept us on track during our session.

We were able to make the last half of Jo Boaler's presentation after we cleaned up our session and headed back to the convention center. I look forward to taking her class in April 2014 and my take-aways from her session were:

• Get rid of timed tests because "Math should never be associated with speed."
• Give students more diagnostic feedback and tell them "I'm giving you this feedback because I believe in you."

Keep an eye on her site www.youcubed.org

Saturday:
I rolled in casually late to Michael Serra's Polygon Potpourri session. No need to describe the fun found here as Dan already recapped it.

CMC South wouldn't be right without attending a Brad Fulton session. He's interactive, funny, and engaging. Next time you get a chance to see him present or give a workshop, be there! His focus was on Math Talks. Fawn shared a little insight on his session here. However, she took it a giant step further and generously created a space for us at mathtalks.fawnnguyen.com to share student thinking and giving students a voice.

After lunch, Fawn and I went to Avery's session. Dan did a recap and Avery did two posts: part 1 and part 2. Check it out! Unfortunately, I had to leave early to go get my materials and set up my presentation. My take-away was working with the Locker Problem and Avery sending me this resource. I've never tried the locker problem, so it was a bunch of fun to play with. He also shared this gem which he demonstrated with snap cubes using the document camera (very cool!):

I presented last at CMC and wanted to thank those of you who were able to make it, even if I was your fourth choice after seeing Dan Meyer's sold-out arena. The title of my presentation was:

Overall, I think my session went well. I wish I could give this talk again, after a little more refinement. I could've used ten more minutes to better connect with the 8 Mathematical Practices. However, there was a lot to share, interact with, and discuss. I learned a great deal from my attendees; especially on rating the level of difficulty with estimation challenges. My attendees got a sneak peek at Days 176-180 of Estimation 180 and I hope you had as much fun as me. I look forward to sharing more with you about this session in a later post.

My CMC regrets: I wish I could've attended the sessions by Karim, Breedeen, and the dynamic duo of Matt Vaudrey and John Stevens. I've linked their names to their sessions. I look forward to CMC North. Maybe I'll see you there.

South,
927

Back to School Ignite Talk

Man, I love a good Ignite talk.
5 minutes.  15 seconds per slide.  20 slides.
Concise.  Succinct.  Compelling.

Why not do my own version of an Ignite talk at Back to School Night next year? I get 10 minutes with parents and would love to change it up a little this coming year. Trust me, after surviving last year, I think the parents deserve a better, improved, and more reassuring version of Mr. Stadel. I'll explain that last sentence in some upcoming blog posts that I'll use to debrief about the 2012-2013 school year. If you're not sure what an Ignite talk is, let me introduce you to my man, Steve Leinwand.

If you like that, check out more Ignite talks by Annie Fetter, Dan Meyer, Max Ray, and Phil Daro. These are my go-to talks when I need a math pick-me-up. Do the math, that will be a little over 20 minutes well spent, being inspired by some key people in our math community. Seriously, check out those four talks.

I'm brainstorming in this space, so feel free to share some input please. At Back to School Night, I'll start by giving a brief 30-60 second introduction of what an Ignite talk is and how they work. I'll give an Ignite talk for 5 minutes, covering any of the following things:

• Standards Based Grading (SBG)
• Noticing and Wondering
• Common Core State Standards (CCSS)
• 8 Standards for Mathematical Practice (8 MPs)
• Problem Solving
• Homework (or No Homework)
• Find my Mistake
• High School Placement Tests
• Desmos
• A healthy balance of mathematical application with procedural and conceptual understanding
• Problems of the Week (PoWs)
• Quotes of the Week (QOTW)
• 3 Act lessons
• Reassessments
• Estimation (Number Sense)
• Tangram Tuesdays
• Whiteboarding

This leaves approximately 4 minutes for parents to ask questions or something else... Have any suggestions for those last 240 seconds?

Who's with me? Does anyone else want to do a Back to School Ignite talk? There's already been some interest generated on Twitter and I started a Back to School Ignite list. Shout at me if you're in. Or is this a really foolish idea? Seth Leavitt, my new online colleague and EnCoMPASS Fellow asked if I'll post it online. I don't see why not. Maybe we can create a space for Back to School Ignite talks.

*UPDATE: Each item listed above does not correspond to its own slide. I simply listed ideas that could possibly work their way into the presentation. Some support each other. For example, when talking about the importance of problem solving, I would mention resources such as 3 Act lessons and The Math Forum's PoWs. Feel free to add to or subtract from the list.

Ignite,
930

Instructional tool: student cell phones

Tomorrow, I'll embark on the crusade of letting my students use their cell phones in class as an instructional tool. I will both email and send home the following letter/policy with students for parent approval. Understandably, my school has many hoops regarding things of the sort. Currently, cell phones are not allowed to be used during school hours anywhere on campus. Students may only use their phones before and after school. This is a K-8 school. I teach 8th grade. Over 95% of my students own phones and it kills me to see them carry around these expensive devices all day and not be allowed to use them as an instructional tool. You can see from the letter that the primary use of the phone will be for capturing student work. Tomorrow, I'll be laying down the law.

In case you missed it, here's the letter/policy again. Hopefully, what I call Phase 1, will be one of many phases for cell phone use in my class. Phase 1 has two objectives.

Objective 1: Capture student whiteboard work
My students do a crazy amount of work each day on their giant whiteboards. How lame is it that we have to erase it and never see it again. Even a black hole will never have the opportunity to consume it. It's gone. I've learned not to waste time having students transfer their work to their notebooks. BIG waste of time. We could use that time for learning, discussions, group work, etc. That said, I need students to capture what they're doing, because some of it is absolutely amazing. Even mistakes can be useful. For example, check out the student work done on these 3 Act lessons:

Basketball Travel

and Dan Meyer's Taco cart.

Seriously, I was lucky enough to capture it. So there you have it, I intend to support my students in capturing their work while at the same time assist them in using their devices responsibly. It's definitely going to be a change of thought for students to think of their phone as an instructional tool. That's why I'm easing into it with this simple task. We frequently do "gallery walks" in my class where students circulate the room and check out other student work. This will present another opportunity for students to capture whiteboard work. I'm thinking of some class 'lingo' and/or routines that will set everyone up for success. Make your math look good, now say, "CHEESE!" If you have any routines or tips to share, please let me know. When I assess this after a week or two, I'll let you all know what has been working and what has failed.

Objective 2: Send students and parents notifications
There is a great FREE service that my good buddy @mrkubasek sent me in this article. I will be using Remind101.com to send both students and parents notifications about class activities: Home Jams (my homework), quizzes, due dates, links, etc. I can send them notifications from a phone, computer, or tablet and they won't see my phone number. Likewise, I don't see their information. Furthermore, they can't send me anything back... mwoohahaha. I mean, how fantastic is that? They can email me if they have a question. I love the idea, because I won't be strapped to my phone answering questions related to the notification I just sent out. More importantly, my forgetful 8th graders will receive the ever-so-loving nudge or reminder about something vital to their success in math.

It doesn't stop here. Realistically, I can't pull off numerous uses for their cell phones a third of the way into the school year. Therefore, I will chip away at this. First and foremost, I plan to nurture responsible and mature digital citizens in my classroom. I hope that this works and I don't ruin it for other teachers at my school to test out. Speaking of which, I have to email them and keep them in the loop here. I hope I can work out any bugs and prevent any huge mishaps. I've seen and heard some of our student population abuse technology and that saddens me. Literally, less than a mile down the road are a couple of schools where students lack technology and/or personal devices. I'm fortunate to be in a place where this is possible and hope to learn with my students. Here are a few things to leave you with.

Bryan Meyer is on to something because I eventually want to have students create some type of digital folder, file, journal, blog, etc. I'd love for them to keep track of their work and either post it or submit it to me.

Dan Bowdin is doing some really amazing and inspring things in his class. Bounce around his website  for about ten minutes and you'll run into some fresh and inspiring ideas. I'd love to pursue the use of QR codes in class one day.

CHEESE,
942

Parent Conferences 2012

Today I had Parent Conferences from 7:45am to 3:30pm with a 45 minute lunch in there somewhere. We hold them in the gym as the middle school teachers sit at tables placed around the perimeter of the gym. Parents roam around the gym looking for teachers to talk with. I suppose I should back up a few days before I dive into today's happenings.

Wednesday, I did two things. First, I sent all my parents an email saying how excited I am to meet them on Friday during conferences and that I request they bring their child so they can help lead the conference. Secondly, I gave students a Review Quiz to assess their mastery, growth and retention of the concepts from the first few weeks. Many students demonstrated mastery, substantial growth, and are retaining algebraic concepts. They came into class Thursday to receive the results of the Review Quiz and were expected to fill out the following form. This form [editable version here] would help students lead the conference with their parents.

This form had multiple benefits such as guiding the student and giving them talking points. It was so cool to hear kids tell parents the concepts they were mastering such as "Distributive Property" or concepts they needed to improve like "Number Systems." It gets better. I had kids explain to their parents how Reassessments worked and how many they've set up with me. Again, there were some fantastic moments of kids proudly explaining the process. Of course, there were kids who haven't even set up one reassessment who should have by this point and it really drove the point home that their learning and 'grade' is ultimately in their hands. I wanted students to remind their parents that I only assign 2-4 home exercises each night and although they're not worth points, I wanted students to use their own words to illustrate why it's important to still attempt and complete them. Behavior was an additional suggestion by Chris Robinson and kids were actually very honest, if not modest at times. Lastly, let's move forward and have students come up with some specific, yet attainable goals and ones other than "Get good grades" [BORING!!!!]. Check some of these student created goals:

1. Don't be afraid to ask questions.
2. Do all Home Jams completely.
3. Keep myself organized throughout the year.
4. Avoid doing PS on Sunday night.
5. Ask at least one question per day.
6. Learn with a smile.
7. Avoid making careless mistakes.

Avoid making careless mistakes! I found myself telling parents that 'careless mistakes' are a natural feature built into a middle school student. My job is to help them get better at strengthening their skill of double-checking their work by being their own "math lifeguard." Yes, having goals, working toward mastery, and learning concepts will lead to "good grades." It was amazing how little I actually informed parents of their child's current percentage and grade in my class. It was amazing. Compared to previous years, there was a huge, apparent, and welcome shift in the context of Parent Conferences. Thanks SBG! Numerous times I told parents that students are being less "grade enthusiasts" because they are owning their learning and working on mastering concepts one at a time. See ya later points!

Some parents came in with agendas, skeptical of this "different way of teaching". Oh, you mean the teaching where I present students with a question, task, or problem and let them grapple with it for a few minutes, fleshing out ideas with their group members on their giant whiteboards as I circulate the classroom listening? The teaching where I only jump in if they are a hundred miles off base? The teaching where I look for students to discover solutions on their own and then share their work with the class using a document camera? The teaching where students are learning from each other and not following a contrived algorithm or procedure blindly without direction, interest, or appropriately struggling with it first? The teaching where I encourage students to take ownership of their learning? Right. Well, after a few weeks of ironing out some kinks from being too 'hands-off' at times with instruction, I've found my groove and I've found that happy medium between being hands-off and knowing when to intervene and instruct students. Not all students are ready or welcome the idea of a teacher being hands-off. Some, especially these middle schoolers, still need that procedural learning from the get-go. I respect that and am sensitive to that. Therefore, my happy-medium place is that where I allow students to grapple with concepts at first and with each other, but students will always leave my class that day knowing an efficient way to navigate to a solution, even if it's procedural.

Ending on a positive note, I had two conferences that truly brought warmth to my heart! Two girls in separate classes struggled in my class the first few weeks of the year. By no means are they strong students. They try and work hard, but not as hard as many of my other students. At first they wanted good grades, but that's changed to wanting to succeed and learn. They figured this out on their own. Their 'grades' were in the dumpsters the first few weeks. I gave the Review Quiz this week and holy smokes, they kicked math butt! Giving them back their assessment yesterday, sharing this news with their guardian at conferences today, and seeing their current 'grade' was an experience that confirmed that SBG is here to stay.  I'm proud of you two girls! We don't need no stinkin' points-based-grading.

Conferenced out,
942

Elmo's Microwave Travel

Summer school has been a fantastic testing ground for 3 Act lessons with incoming 6th & 7th graders. I'm constantly reassessing my deployment of the lesson format. If you have any improvements to offer, go for it. Check out Dan's whole catalog. Here's a few I used this summer:

• Print Job: Talk about rate and breach theoretical v. practical discrepancies.
• Nana's Chocolate Milk: Ratios, Fractions, Proportions, Equivalencies, do it!
• Popcorn Picker: Do identical rectangular papers have the same volume?
• Super Bear: Unit rate, ratios. Discuss Percent Error (genius)!

Dan's lessons are wrapped up in a neat little package, following his own framework for digital media. It's up to us to deliver. Today, I used my Elmo's Microwave Travel lesson. Keep in mind this was with incoming 6th graders. I'm more generous with them than my 8th graders. I continue to learn about the 3 Act lesson format (here's Act 1):

Act 1 (go get that Q):

View and immediately get those Q's (questions) in the air.
I don't perseverate anymore over having at least one student ask the intended Q. Let students ask what they wonder and state observations. If they hit your intended mark, don't jump for joy. Act as if it's just another Q in the mix. Summarize the questions and observations before revealing the Q. I usually say something like, "I'm right there with (insert name) on this and I also want to know (state question)." Luckily, there was at least one kid form each class who wanted to know how many rotations Elmo makes in the microwave. Get that Q on the board immediately along with any other questions that could be answered during the lesson. Have students write the Q's at the top of their paper, notebook, handout (whatever you use). Everyone needs an objective, something to work toward. Once it's scribbled down, encourage your students to make an estimate for each Q and pencil it in near the Q. We came up with:

1. How many rotations does Elmo make? (They nailed this Q!)
2. What distance does Elmo travel around the microwave? (Extension of the 1st Q)
3. Will he melt? (Some students really worried about him melting. How considerate.)

* Using their wording for the Q's, I encouraged them to put it in relation to one minute.

Students do all the thinking, questioning, noticing, etc. but in the past I wasn't writing the Q on the board. Big mistake. Now it's monkey see, monkey do! Get the Q on the board. Go!

Act 2 (muy importante!):
Ask the students to discuss, "What do we already know?" Here are some responses from students:
Elmo travels for a minute. (Me: "How does that help?")
He's on a circular plate. (Me: "What do we know about circles or can do with that?")

Write the facts on the board. Now I ask, "What information would help you answer those Q's on the board?" or "What would you want to know in order to answer the Q's?"
Really make students think here. Don't make it easy. I have to keep working at this tactic. Allow students to struggle with the notion that they need to determine what's relevant before you divulge any new information. This allows students to be better critical thinkers. Here's what they thought:
Maybe we could see how far he goes in 10 seconds (Me: "Interesting.")
The plate is a circle. Can we know the circumference? (Me: "Is that easy to measure?")
Then can we have the radius? (Me: "I'll give you the diameter. How's that?")

Roll Act 2 Elmo. Students, get solving. Start discussing, debating, testing, calculating, etc. If you come up with something let the class know. If we agree on it, we'll write it on the board. If not, we'll erase it. Hey Frank Noschese, now I'm starting to see the importance of those student whiteboards. WWFSD? (What would Frank's students do?) Can we still jot down necessary info at the front while students collaborate? Of course.

This is all student derived. I was simply the scribe.

Okay students, you got a solution? What does that number mean? Does it make sense? Did you check it for reasonableness? Did you give a unit of measurement? Did he travel in miles, feet, inches, millimeters? Does it make sense? I bombard them with questions. I'm almost getting to the point where I forget about Act 3. I want to see their work during Act 2. I want to hear their rationale. I want to learn from my students and their thought process. I enjoy that. Lately, the big driving force for me to actually leave Act 2 behind and attack Act 3 is the discussion that follows after viewing Act 3. 

Act 3 (theoretical v. practical):
On paper, many 6th graders miscalculated that Elmo travels 37.68 inches for one minute. Even after asking them if it made sense, they stuck with their answer (I let it go). There were a couple who got the correct answer! I didn't tell them; we watched Act 3. The students who had the correct answer and saw that 37.68 inches was quickly ruled out, watched intently as the time wound down. The anticipation on their face was priceless. The video ended and one girl was both happy and confused at the same time as she awkwardly asked, "Is it okay that my answer is one inch off?" Hello! Here's our opening for discussion. Theoretical v. Practical. I was so happy. First we discussed why 37.68 inches was incorrect. They didn't multiply their circumference by the number of rotations in a minute. Then we tackled the theoretical v. practical results. My microwave plate is kind of wiggly. It doesn't rotate at a constant speed the entire time: it slows down and speeds up. That one inch could be accounted for a few reasons. Their world was rocked, but Elmo's world made sense.

[Sequel to come] Dan contacted me for some video footage of Elmo traveling for 30 seconds in real time so he could use it at a workshop. He wanted his attendees to graph:

1. Elmo's distance from the center of the plate over time [Update: Video]
2. Elmo's distance from the glass door over time [Update: Video]
3. Elmo's total distance traveled over time [Update: Video] *My recent addition

I plan on doing the video sequel and will experiment with it in Motion this week. My kids enjoyed the sequel discussion, but missed a video to back it up. Great sequel idea Dan, thanks.

Traveler,
252