Des-man

Today, students had about 90 minutes to work on creating their Des-man. Des-man was the brainchild of Fawn. Desmos then teamed up with Dan Meyer and Christopher Danielson to create a suite of classroom activities, one of them being Des-man. I've done Des-man before, but not with the Desmos classroom. Let me just say, it's awesome!

As the teacher, I could see every students' work in real-time and display it up on the projector for all to see if need be. That's a really slick feature on top of the already amazing Desmos. It's like math euphoria! It was a blast to see students work 90 minutes straight, being as creative as possible with their Des-man (or Des-woman). After three weeks, Desmos became a very familiar tool for students because they used it with tasks like Barbie Bungee, Datelines, Hit the Hoop, Vroom Vroom, Stacking Cups, and more. I'd like to showcase a few creations for you. Enjoy!

Thanks Fawn, Desmos, Dan, and Christopher for a wonderful and creative math experience. Lastly, I want to thank my students. Today, you guys helped each other out, persevered, asked for advice, freely explored, had fun, and wanted to know more about functions, domain, range, circles, sliders, and more!

Desmos is great about asking for feedback. I have some observations and am curious. Maybe I'm missing something, but I noticed some features from the regular desmos calculator missing in the classroom. Maybe these are upcoming features:
Students couldn't duplicate functions. How come?
Students couldn't create (use) tables. How come?
Students couldn't create folders or text boxes. How come?
Students can't share their Des-man (email, link, etc.). How come?
As the teacher, I can't keep the Des-man (functions included) for each student. How come?
As the teacher, I'd love to have access to each student Des-man, especially if I want to send it to that student or share at a later time.
Thanks for listening, Desmos!

Des-manian,
1035

Tools: Helpful & Unhelpful

Not sure I made the best teaching move today, but I had to try it. We explored Dan Meyer's "Will it hit the hoop?" task(s).

Act 1: Roll "Take 1"

• Agree on the question, "Will he make the basketball shot?"
• Ask students to make a series of guesses for a total of six takes.

Act 2: Ask for information
I typically ask students to think of information they would find useful in answering the question. Today, I went somewhere else with Mathematical Practice 5. I asked students to make two lists:

• List 1: Math tools that would be UNhelpful.
• List 2: Math tools that would be helpful.

This is the fourth and final week of the summer academy. My students have been exploring many math tools. I'll list the activity/task with the prevailing tool(s):

• Class height: Measurement, mean, median, mode, range
• Number Tricks: inverse operations
• Bucky the Badger: Tables
• Barbie Zip Line: Pythagorean Theorem, wrong models
• Taco Cart: Pythagorean Theorem
• Barbie Bungee: Measuring, Data collecting, Tables, Line of best fit, slope-intercept, Desmos
• In-N-Out Burger: Slope-Intercept, Functions
• Styrofoam Cups: Functions, slope-intercept
• Stacking Cups: functions, slope-intercept, Desmos
• Basketball shots: guess and check, tables, linear systems, Desmos
• Datelines: functions, Desmos, linear inequalities
• Vroom Vroom: Measuring, Data collecting, Desmos, function of best bit, quadratic equations

As you can see, many of our tasks were dominated by slope-intercept and Desmos. I didn't find their lists surprising.

I love how some students thought Desmos would be helpful, while others thought it'd be unhelpful. Those that found it unhelpful, wished you could insert images into Desmos so they could use sliders to find the path of Dan's shots. Boy, were they happy when they discovered you could import images. My first class was split down the middle: half thought slope-intercept might be useful and half didn't. It took a few convincing students to explain why Vroom Vroom was an example where a linear function was unhelpful.

Overall, I'm pleased with this approach, but I wouldn't do it with every task. It might confuse students that there's only one way to solve a task and detract from the importance of MP 5. I thought this was a fitting opportunity for students to mainly see the difference between a linear function and quadratic function. Specifically, I wanted them to see the advantages of using sliders in Desmos with a quadratic function instead of a linear function. I think students need to shuffle through their tool belt often and pick the right tools for the right task. I think today it was necessary. Dan has written about this or breaking students' tools. Moving forward, it's a matter of using this strategy at relevant times and not overusing it. However, I might be wrong altogether. That's where it's your turn to chime in...

Tomorrow: Des-Man!

Tools,
1125

Estimation 180 Gear

They're here! Estimation 180 t-shirts and stickers! Yes, I'm excited.

Estimation 180 was born out of my love for number sense and visual mathematics. In addition, it was important I help my students develop better number sense and see the world of mathematics in a different way. Little did I know, the site would make its way into classrooms across the United States, Canada, and other parts of the world. Thank you all for tweeting or emailing your experiences as I find it so cool that students are exploring number sense in your classroom and having mathematical conversations, sometimes even constructive arguments.

It makes my math heart full of joy to see other teachers do amazing things with Estimation 180 and beyond. Please make some time to check out blogs like Joe Schwartz, Jonathan Claydon, Mary Bourassa, and Megan Schmidt who are just a FEW of the teachers taking the idea and running with it. Teachers like Michael, Hedge, Dan, Robert, John, Matt, and others spread the Estimation 180 love when doing teacher trainings or presentations. I couldn't be more appreciative and grateful. Thank you! Chris Harris even shared some bacon estimations to a roomful of parents one weekend.  I love how the site has become an instrument to help teachers create a classroom of curiosity with students, building number sense along the way. In addition to daily estimation challenges, the site has many of the lessons I've developed over the past few years.

These shirts are just another extension of my passion for number sense. As I present at conferences and give teacher trainings, I'm excited to give away some t-shirts to attendees nailing estimation challenges built into my workshops. Likewise, stickers are available for you to stick some number sense in your favorite place. This is how I roll!

I'm not in this to make money. This is more of a hobby to go along with the site. I would be eternally grateful if you decide to buy shirts and stickers and spread the Estimation 180 love. Head over to the Estimation 180 store and check out the shirts, their sizes, and how easy it is to order.

Nuts and Bolts:
If you're interested, I think it'd be good to be transparent on the nuts and bolts behind the t-shirts and stickers. If you're not interested in the nuts and bolts behind the t-shirts, skip the rest of this post and check out the t-shirts and stickers.

No outside party is financially backing Estimation 180. AND I don't plan on charging for using the site, ever! Therefore, I have done everything I can think of to make these shirts as affordable as possible, because I'm not in this to make money. Any money made from shirts and stickers would go back toward web costs associated with Estimation 180 and the free t-shirts and stickers I would pass out at conferences. As you can imagine, it's been one huge math task keeping track of expenses in order to set reasonable price points for the t-shirts and stickers so that teachers can afford them.

$20 for a shirt gets you a lot! You get a high-quality shirt for one. This price also includes tax and shipping. It also looks like I can throw in a sticker with each t-shirt order. Sweet! This $20 also goes toward the cost of the blank shirt, printing, mailing envelopes, and labels (mailing and return).

$2.50 gets you a high-quality sticker. This covers the cost of getting the sticker made, the envelope, labels, and postage. Of course, if you order two or three stickers, it's a better deal.

*Important note: my buddy Johnny from Speysyde was in charge of printing the t-shirts and he did a fantastic job! Please cruise by his site. It's all about the sustainable lifestyle:

Our mission is simple. To spread awareness and advocate an eco & social sustainable lifestyle through the creative collaboration of culture, music, sport, art, adventure & travel.

I declined using some of the premium web store features my host offers, such as shipping calculators, tax calculators, and other premium web store features. This drastically keeps the cost of the shirts at $20. For each purchase and transaction, Stripe takes a small percentage from my side. There is no additional cost to you. Their service, similar to PayPal, makes each transaction secure, safe, and easy.

I think you'll truly enjoy your shirt. I am!

Gear,
1047

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

Fun With A Name Tent

As I ask my new students to make a name tent with an 8.5" x 11" sheet of paper on the first day of Summer Academy, I think, "Let's have a little competition." This wasn't in my lesson plan. Ha!

If you haven't noticed, I have become obsessed with classroom competitions. Here are two posts in case you missed them:
Fun With A Dot and A Line
Fun With A Sticky

Therefore, I'm adding today's post of Fun With A Name Tent to the "Fun With A" series. A name tent looks like this:

I use name tents for teacher trainings or on the first week of class with students so I can quickly learn their names. Right as I tell my new students to make a name tent, I announce, "Let's see who can fold their name tent into the best thirds?"

Game on!

If you have read (or remember) my two posts from above, you know this activity will go something like this:

• Students get time to create their best thirds.
• Students decide in their group (of four) who has the best name tent.
• Students vote (whole group) by eyeballing the tents and make a prioritized list. 
• Students define how we decide the best thirds.
• Students define what to measure.

Here are some whiteboard shots of my lazy writing as I quickly jot down what students say. It's fascinating.

I handed each group a name tent that was in the running for the best thirds. Some groups used inches and some groups used centimeters to measure.

I didn't care nor tell them what unit of measurement to use. I walked around and questioned which unit of measurement they were using and asked them to explain why they chose that specific unit of measurement. We later had a discussion (almost arguments) about which made more sense for this task. Most students eventually were convinced by their peers that centimeters would be more accurate here. My second class had two tents that were extremely close, but couldn't tell which was better:

We had to compare 0.5 centimeters to 0.25 inches to see who had the smallest error, Leyla or Srihitha? It was awesome! We had to decide if we wanted to convert the inches to centimeters or vice versa. You can see that Leyla won by 0.135 centimeters. DANG! Those are some good folds.

Next, I introduced them to Estimation 180 by estimating my height. They'll be keeping track of their estimates in their compositions books.

My favorite part was this exchange:

Brianna: Will you tell us your height?

Me: No.

Brianna: What?

Class (disappointed): Ohhhhh!

Brianna: That's not fair. Then why are we doing all this work?

Me: I understand. I said I'm not telling you my height.

And then BAM! I take out my measuring tape!

Me: Brianna, stand on your desk chair and you can measure how tall I am.

Brianna: Oh, cool! 

We proceed to estimate my wife's height and then we estimate the TOTAL height of the class. This was fun. I asked, "What would be useful to know and how would we go about getting it?" borrowed from Dan.

My favorite was Mansi. She suggested that we multiply the number of students (20) by 5 feet since most students were about 5 feet tall. Then we add or subtract the difference of each student's height in relationship to 5 feet. We started a Mansi column in our Google spreadsheet. This would make for a pretty cool lesson on integers.

Before we went outside, I had the students get in order from what they thought was shortest to tallest. If you keep track of the data in a spreadsheet, use the spreadsheet to verify their order: another great tool from a spreadsheet.

With this organized data, you could do a lesson on mean, median, mode, and range. Even mean absolute deviation if you're up to it. Another great part was Dylan noticing a student was absent today. "We don't know the height of the kid who isn't here today."

You could take this task and apply the mean or the mode. Have students predict the height of the absent kid. Furthermore, you could segue into probability if you like. What are the chances the absent kid is the mean height? the mode height?

How sweet of my first class, they wanted to include my height in the total height. We went outside and looked for an area long enough to fit our calculated total height of approximately 103 feet.

We went a little bit past 103 feet because some students were considerate enough to avoid placing their feet next to someone else's head. The dismissal time was rapidly approaching so I let it slide. One clap on three for Reese. She had the closest estimate of 102 feet.

One. Two. Three.

CLAP!

Thirds,
1050

A Few Updates

Update 1:
I finally finished Act 3 for my Deodorant lesson. I hope you check it out and can give me some feedback; I think it could be much better with your help. If nothing else, check out how long it took to use 5 sticks of deodorant. Mathematical Modeling should really be at the forefront of this task. It might appear linear, but I would bet a year's supply of deodorant that an adolescent's deodorant use will be far different than mine. I also guarantee students will think of variables ranging from climate to age to geographical location to genetics to more. I think you'll have some excellent conversations with the deodorant task. My favorite part is the sequel: How many sticks of deodorant would one use in a lifetime?

Way back when this task first started, I opened up a little estimation competition in the comments at 101qs. Don't listen to a word Nathan Kraft says. The person with the closest guess would win an Estimation 180 prize. With so many close estimates, the following gentlemen will be the first to receive the new Estimation 180 stickers, hot off the press!

Congratulations to:
1st place: Chris Robinson (May 14, 2014)
2nd place: Robert Kaplinsky (May 5, 2014)
2nd place: Michael Fenton (May 15, 2014)
3rd place: James Cleveland (May 3, 2014)

Update 2:
Estimation 180 will be getting a facelift and other updates over the summer. Here are a few things to look out for:

• New logo
• New fields for entering student estimates
• Clean spreadsheets containing "other estimates"
• Updated Lessons
• Search by Categories
• Sentence frames for student reasoning

I'm most excited about the last update; sentence frames. I occasionally browse over student responses and notice many students entered "I guessed." I think it would be extremely helpful for teachers to provide their students with sentence frames in order to better articulate their reasoning. I will be focusing on this tool in upcoming presentations and workshops.

The new logo was done by my niece. I love her simple design, the two 180 degree arrows, the metric reference, and her idea to transform me into a stick man. That reminds me, I still owe her a pizza!

I hope to get a few t-shirts made too. You can sport them at your next PLC, department meeting, casual Friday, or math conference. Any takers?

Update 3:
I've accepted a Teacher On Special Assignment (TOSA) position with my district for next year. It's a bittersweet feeling at this point. On one hand, I'm very excited because I'll be working at various secondary sites throughout my district, collaborating with other math teachers, helping design lessons and implementing various technology. My official title will be a Digital Learning Coach. I hope to seek advice from people like John Stevens, who have been doing this for some time now. As I pack up my room, I already miss my own classroom and students. However, I look forward to learning a great deal from the teachers I will be fortunate to work with and the students I'll be able to interact with at each site.

Updates,
243

Going Round In Circles

Whenever I start talking about circles with my students, I use this little wager.

I get students to pick one of the three choices and work the room, looking for a brave student I know will deliver my nachos. I talk up the nachos (and the circumference) as much as possible. Anywhere from 90 to 100 percentage of students will say the circumference is shorter than the height of the water bottle. Let's see if I win nachos or I let my students go to lunch early.

Okay, so double or nothing? I don't bring in this glass, but I do use a taller cup with a really small circular base. Where do you stand on the double-or-nothing wage? Did I give you enough information to take the bet? With a glass like this, you should get at least one student to keep you honest and ask which circumference of the glass you'll be measuring.

This little wager (activity) allows me a quick introduction and fun application of circumference. Somewhere I'll discuss vocabulary and formulas with students while giving them a graphic organizer they can fill out.

I'll usually do an activity where students measure the circumference and diameter of objects in order to discover the relationship of Pi. Stuff very similar to Fawn's Friday Bubbles. Note to self, use Excel (or a spreadsheet) to keep track of those measurements. I've also explored Rolling Tires in the past. This year, I brought the wheel to the class for a small activity. A physical wheel. The wheel from my son's wheelbarrow.

The small activity was for students to guess how many rotations this wheel (8-inch diameter) would make from one wall of my class to the other wall. Students were able to see how circumference can take on the meaning of a tire rotation, hence the graphic I made above. It was sweet to see students roll the wheel across my 21-foot long room and actually get 10 rotations like the math predicted. If you have a wheel like this, bring it in and do this activity.

We also did these awesome lessons. And. I. Mean. AWESOME!
Pizza Pi by Mathalicious and
Penny Circles from Team Desmos and Dan Meyer.

There's so much to do with circles and so little time. 

Round and round,
945

Fun With A Sticky

Earlier this year, I wrote about Fun With A Dot and A Line, a Math 6 lesson I loved because it had:

• A simple question/task.
• A competition.
• Student creativity.
• Students assessing the work of each other (accountability).
• Students defining the necessary vocabulary/rules.
• Students determining the necessary tools to help solve the task. 

As my 7^th graders approached surface area, I prepared a few activities in preparation for File Cabinet. Here is one of those activities. I give you Fun With A Sticky:

Launch:

Hand each student a 3” x 3” sticky as they enter. Post the following on the board:

Explore (creativity):

A few students might do something like this.

Give the class a hint or two (if they need it):

1. This can be done with four lines.
2. Think Tic-Tac-Toe

Here's what we're going for:

If a student is still clueless, encourage them to look around and see what their classmates are doing. As the teacher, keep your eyes peeled for students who are approaching this with some creativity. Sarah and Pricila used the straightedge of their binders to draw lines. Gerardo tried folding the sticky in thirds like this.  

Student accountability:

When done, have each student write their name on the back of the sticky. Have each group of 3-4 students decide who has the best 9 squares and bring that one sticky up to the teacher. In no particular order, place them under the document camera for all students to see. Without sharing, ask each student to quietly (mentally) pick the top 2 stickies they feel have the best 9 squares. 

Vocabulary/Rules:

Ask students for input. 

Me: "Without telling me which stickies you’ve picked, how are you determining which sticky has the best 9 squares?" 

Jesus: They drew straight lines.

Carla: They are perfect squares.

Have the class define a perfect square.

Carla: Each side is the same length

I now had students take their top 2 and pick their favorite one. Somehow get your students to vote; little sheets of scratch paper, SmartBoard Responders, iPads, etc. I labeled each sticky alphabetically to avoid “this” sticky and “that” sticky. I had each student stand up. I then said, "Sit down when I say the letter of your sticky with the best 9 squares."

Necessary Tools:

They narrowed it down to about 3 stickies and gave great rules for finding the best 9 squares.

Me: What tools can I use to make it even more precise?

Student: A ruler. 

Me: Ok. What do I measure and what am I looking for on these stickies?

Here’s where you get students to discuss (or discover) how each square should have a width of 1 inch and a length of 1 inch. In other words, you’re defining a square inch with your students. Okay, there will be some "squares" that are just garbage and can be eliminated by eyeballing them. However, here's where you get to be dramatic with your students. Get them worked up. Ask them which ones you should measure. Mess with them a little and joke with them how they're unable to determine the correct "squares". Have fun with it. Either way, make sure students see the squares being measured. If I had more time, I could have redistributed the stickies and passed out rulers for the students to measure each other's "squares". You can see from this picture that the winning sticky note had a total of 3 "perfect squares."

Congratulations to my winners! They received a brand-new whiteboard marker.

Here’s the icing on the cake (and lesson design telling me something wonderful just happened):

• Itzco wanted a chance to do it again. He'd been sleepy in class all week.
• Genesis wanted a ruler if we did a second round. Let's just say her attitude toward math all week was subpar and she has difficulty being a self-starter.
• Students wanted a chance to improve and try again. Especially students who initially drew ridiculous "squares".

There it is, Fun With A Sticky. Here's that list one more time:

• A simple question/task.
• A competition.
• Student creativity.
• Students assessing the work of each other (accountability).
• Students defining the necessary vocabulary/rules.
• Students determining the necessary tools to help solve the task. 

Sticky,

846

SBAC on Steroids?

California is an SBAC (Smarter Balanced Assessment Consortium) state. This last week my school started the SBAC Field Tests and I was a Test Administrator for my 7th grade classes. Before I continue, let me post part of the Security Affidavit I had to sign.

That's right, I will not divulge the contents of the field test. However, I will first refer you to last year's post where I made a video comparing released CST questions and SBAC practice questions.  Here's a reminder (screen shot), comparing just two questions. 

This week, I felt like my students were looking at SBAC practice questions that were on steroids. Since I can't speak about the SBAC Field Test questions, I took my Deodorant 3 Act task and put what I think the SBAC steroid version might look like. I have nothing against SBAC. I tried to create a similar task that had rigor, complexity, and mathematical modeling.

First, my Deodorant task goes like this:

Act 1: How long will it take to use all of that deodorant?

Act 2: Data from the first 4 sticks. 

Act 3: The answer is still in the works. 

Sequel: How many sticks of deodorant would a person use in one lifetime?

Here's how I'd see this same task presented SBAC-on-steroids-style. 

I walked away this week, thinking our students need to do many things.

1. Read the story. 
2. Decode the text.
3. Understand the question.
4. Organize the data.
5. Retrieve and access the correct skill(s) or skill set.
6. Apply the necessary skills.
7. Perform the correct operations with the above skills.
8. Interpret their answer.
9. Explain (and articulate) their answer.

As a teacher of many ELD students, I can safely say that the following steps are already challenging; 1, 2, 3, 8, and 9. Don't get me wrong. I believe in literacy, but I wouldn't want language to be a barrier when assessing a student's mathematical abilities.

Hear this though: Students must make sense of the problem before they can use mathematical modeling to predict the answer. Then, they must articulate how they got their answer. I would consider this expectation the new norm.

I'm not done. I could totally see SBAC taking this deodorant task and creating an additional question that would complete my 3 Act. Check out this doozy.

We're looking for students to drag numbers to both axes, use a line of best fit, make a mathematical prediction, and explain everything again. The only thing I left out of this question was for students to write an equation for the line they draw. 

I have more to say about this, but that's enough for now. I'm already thinking about how to better prepare my students for these types of questions, which should be my next post. If you have any thoughts, please share. If you've made it this far, here's a preview of Act 3 for my deodorant task. Don't worry, I keep my shirt on!

Steroids,

1158