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Note: I will be adding resources/information to this post later this week from my June 15th training in Minneapolis. At the very bottom of this post are some links for today. I will improve these and add more by Sunday of this week. This post includes resources from training's I did in April (1 hour - resources for this are in white) and June (3.5 hours-additional resources from this training are in orange.) Links and documents are colored in blue.
If you are a secondary math teacher in 2016 and you are NOT using Desmos - something is seriously wrong with you. Desmos is the first tech tool that I could spend my time - for free - being an Evangelist for. You need to be using Desmos. Your students need to be using Desmos. I can not say this strongly enough. Y.O.U. N.E.E.D T.O. B.E. U.S.I.N.G D.E.S.M.O.S. If you are not using it yet, my guess is that is for one of 2 reasons. #1, you did not know about it. (well now you do, change this) or #2 You think that it will take a long time to learn how to use. Desmos is not a TI-8x calculator. There is no need to go to a 3 day workshop led by a TI expert. Desmos is something you can learn quickly all by itself. For real, for real. Don't' belivie me? Give it a try.

What is listed below is part of a 1 hour training I've done several times for various groups of teachers. The goal of this one hour training is to take away the fear of using a tech tool and see how incredibly useful and easy Desmos is. My experience training many teachers is that if you get your hands on it, you will start using it. Many people, after attending just one hour of training, have come back to me and said things like "I don't know why I did not use this earlier" or "I used _________, it was as easy as you said". Just this week a Math Education Professor at a local university emailed me to tell me his first experience using it with his students saying "It was so much fun.... my students stayed 10 minutes past class..." Desmos sells itself. All you need to do is start. The resources and words below are a quick version of the training I did this last week at our state MCTM conference in Duluth, MN. Get on it. Don't wait, the time is now. Desmos is where it is at. I am telling you.

In the spring of 2015, Desmos hired 3 of my favorite math bloggers; Christopher Danielson (from my home state), Michael Fenton (his blog is pretty amazing) and Dan Meyer (duh!). If a company is hiring the best of the best than the rest of us should pay attention.

It is FREE. FREE, I say. This is a game changer in our schools. My Minneapolis Public School students (urban/high poverty) now has a way for nearly EVERY student to have a FREE graphing calculator with them at all times on their phones. Students who in the past were kept out of the technology loop except for the 50 minutes of my class are now able to join the party and have access to the same tool as every other student.

If you download the app, you can use it without having to be connected to wireless - again an equity issue. No huge data plans necessary (except for the initial download)

Desmos is SO helpful. If you don't know how to do something - just ask. Either click the ? button and ask or tag @desmos on Twitter. You often get an answer within an hour and I have found always within 24 hours from the most friendly people - sometimes the owner of the company, Eli, answers. What other company answers you that quickly (for free)?

I feel like I need to address a few common reasons teachers tell me that leads to them not using this amazing tool.

1. "Not all my students have calculators". - I get it. Not all of my student do either.....but the number who do is far higher than last year. The number last year who have phones is far higher than the year before. You would be surprised. Some students may not have their own phone, but their parents do....or a sibling...or they can use their friends. Stop using this excuse. We have reached the tipping point. More do than don't.

2. "The TI-84 is used on my state tests and what about the ACT'." Using Desmos does not stop you from using other graphing calculators. I have TI-84's out on every table in my classroom AND I use Desmos. In my previous 2 schools I used both in a 1:1 environment and most of my students preferred Desmos. Yes - state tests use TI products usually and you can't use Desmos on the ACT (yet) - but my gut says this will change drastically in the next 5-7 years. Really. Quote me. I am hoping I will never have to buy another TI graphing calculator for my classroom and I can phase them out. What are you worried about. Desmos is free - you can easily use it in conjunction with anything else you have.

2. Online Desmos Calculator.

The first thing people usually know about Desmos is the Online Desmos Calculator. I love it. I use it all the time for class presentations in class. I use it all the time to make graphs for homework and tests (screen shots). I love that I can save things I create to use later and/or share with the other teachers I co-plan with.

One tip - if you use the online Desmos Calculator for class presentations or screen shots - make sure you put the calculator in 'projector mode' (click the picture of the wrench in the upper right of the screen for this). Life changing.

Did you know you can sign into the online desmos calculator? It is the same sign in code as teacher desmos. I sign in all the time so I can save things I create using the green 'save' button on the top left. To find graphs you've saved - click on the 3 horizontal lines in the upper left (hamburger menu). I often google the topics I teach with the word 'desmos' in my search and find graphs others have created and save them on my online calculator. Here is one cool example of a rectangular prism volume exploration.

Be sure to learn what is a slider is. Try this - type y=mx+b into one of the equation lines. Then when it asks 'add slider' click all and explore. When you see a slider click and hold on the number 10 and watch how you can easily change the settings for the slider.

Be far one of my favorite things about the online calculator right now is that you can upload images. I use this all the time. Imagine how fun it is to upload a picture of your students teachers superimposed under a coordinate grid and ask them to graph a circle that will circle their teachers face. LOVE. LOVE. One hint - you can lighten the image by clicking and holding the circle in front of the image. Love. I also take screen shots of what I do and print them out for students to do the math on paper before checking their work on Desmos. Here is one I made using a map of my school and a system of inequalities. Love.

The Desmos App for phones and tablets is what allows you or your students to use Desmos' graphing calculator without being connected to wifi. I am so passionate about ALL students having this app on their calculator I have a desmos sticker on the back of my personal phone and when students come to my school's Math Center for help, one of the first things we do is download the app onto their phone.

One thing I've leared about Students using the app is that they are much more likely to use it regularly IF you let them use the app on their phone in class. Next fall, during the 2nd week of school I will have all my students take out their phones and we will download it together. Over the following 3 weeks I will commit to having students use Desmos on their personal phones in class at least 2-3 times a week.

4. Learn Desmos.

Michael Fenton is a huge force behind this site. It may be the most important place for you to go. What I love about Desmos learning tools is they are short. In 1-4 minutes I learn a lot. A lot. Don't believe me - Check out 2 examples.

Interactive Tours - click and follow the directions - this is the first one I did on 'Regressions'. Within 2 minutes I learned things I never knew before - like you can copy and paste tables from excel right into desmos. Also - the residuals graphed are amazing. Love.

Videos - I think all the videos are a minute in length....way different than other tech tools.

5. Teacher Desmos
- Teacher and Student Desmos are the sexy poster children of Desmos right now. I love them. The tend to be the first things others show you about Desmos when they start talking to teahers. Although I love the things I find and use at teacher desmos, I have found that some teachers I've worked with who use the resources here as their first Desmos introduction may get overwhelmed and give up on the tool all together. If that is you, use the online graphing calculator first for simple things and then use teacher desmos. Here are some things you should use teacher.desmos.com for:

Teacher Desmos is a collection of activities made by Desmos Employees (things like Function Carnival, Polygraph....) and also a collection of activities made by classroom teachers (through Activity Builder). You can use this site 2 ways as a teacher. First, you can search a topic and use an activity as is with your students. Or second, you can build your own activity and give it to your students to do at student desmos.

Where to start? Use one of the many Polygraph activities (type 'polygraph' into the search engine) - some made by Desmos and others by classroom teachers. Polygraph activities are a series of 16 visuals that students ask yes/no questions of a partner to figure out which visual that student has preselected. These are great. Check out Polygraph Parabolas. If you like what you see, to use it with students all you need to do is click 'start a new session' and share the code in the blue box with your students. Desmos does the rest of the work and you can watch what every student does with this activity on teacher.desmos.com. It is great.

When searching activities, if you find one you like, but you want to make a few changes - this is now simple - just click 'duplicate this activity' and now you can change the activity to match your needs.

When you start making your own activities using Activity Builder, remember to keep it simple. An activity can be as short as one graph. The beauty of using this over the online graphing calculator is you can see your student's responses. This is great formative assessment.

6. Student Desmos
student.desmos.com is where your students will go to engage in an activity you set up at teachers.desmos for them. If students say they are getting error messages and can't get into the site it is usually because they put a 'www' before the URL. Tell them to start with 'students....' and they will be OK. If you want to experience student desmos as a teacher, feel free to sign onto the student site using this code I made for the teachers at my school to play around with desmos. I used pictures of my staff to let the play around with some of Desmos' features.
7. Animate Desmos
Just for fun - check out GIFsmos. If you want to animate one of your graphs this tool is for you. I figured it out with no training (and I went to college with a typewriter). The first one took me 45 minutes. Now they take me 4 or 5 minutes each. So worth it. I loved using it in my transformation of functions unit. Here is a simple one I made early on - and asked students to write the function represented in the Gifsmos.

At my session I shared some of the fun extras I love about Desmos - this summer I will take the time to update this section of my blog post. I'll tweet out when I do.

RESOURCES FROM DULUTH PRESENTATION:

Items for June 15th Training

Thank you to everyone who attended the Desmos training I did in J une 2016. Please read and look at the comments from a previous training above as well as additional comments and resources below. If I missed something or you have something to add, please email/text/tweet me.

I started our training with a math pattern
I used with my students this year. Several of you asked how I made it. Here is the link I used to take screen shots from. Enjoy. If you use Promethean software, I've also given you the pattern in a pdf of the presentation. (contact me if you want me to email a flipchart of the pattern to you)

Desmos Training Summer 2016 Desmos Handout

1. Desmos Dictionary

2. Learning about Activity Builder's features - go to student.desmos.com and enter code:

3. Locating Numbers Using Absolute Value from Andy Schwen

4. Building understanding of Absolute Value

5. Box & Whisker Polygraph using a Word Bank

6. Visual Patterns on Desmos from Andrew Stadel (via Fawn Nguyen)

7. The great collide

8. Desmos Bingo PDF & Desmos Bingo on Learn Desmos

9. The Integer Game

10. Blue Elevator

11. Andrew Stadel's desmos activities.

12. Graphing Stories on Desmos

13. What if it hit the hoop? on Desmos & What if it hit the hoop? on Dan Meyer's blog

14. The Desmos Bank of Activities

15. Blog Posts about Activity Builder

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Duluth Desmos Training - Sara VanDerWerf

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Note: I will be adding resources/information to this post later this week from my June 15th training in Minneapolis. At the very bottom of this post are some links for today. I will improve these and add more by Sunday of this week.

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What are your favorite elementary  @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat

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What are your favorite elementary  @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat

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What are your favorite elementary @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat
— Julie (@jreulbach) August 8, 2016

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What are your favorite elementary  @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat

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What are your favorite elementary  @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat

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What are your favorite elementary  @Desmos activities? I’m sharing this week! @gfletchy @bstockus @TracyZager #elementary #elemMathChat

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http://showyourthinkingmath.blogspot.com/p/desmos-activities.html

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If you are an elementary teacher, the tool Desmos Activity Builder might be new to you. While I see most current activities for middle and high school, don't let this deter you from giving it a try! There are some interesting and powerful ways to leverage this digital activity builder for you classroom. I've started making a few activities myself!

Some of the best things about Desmos is that you can use it on any device, it's free, the teacher dashboard/controls are awesome, and the activities you can build let you see student thinking in the moment! (Check out my blog post about 9 criteria to see how I judge formative assessment tech tools.)

I made a few screencast videos to help you get started and get some ideas of how you might use this in your K-5 classroom:

Getting started and adding card sorts to your activity options:

Adding a card sort to your activity:

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If you are an elementary teacher, the tool Desmos Activity Builder might be new to you. While I see most current activities for middle and high school, don't let this deter you from giving it a try! There are some interesting and powerful ways to leverage this digital activity builder for you classroom.

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11 Places To Find Desmos Activities For Your Classroom

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11 Places To Find Desmos Activities For Your Classroom

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by Denis Sheeran

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We like the number 11 in our house. It's common in birthdays, lucky numbers, etc... So As you finish the 2014-2015 school year, here are 11 places you can investigate to find lessons and activities for 2015-16.

1. Teacher Desmos: https://teacher.desmos.com/

First and foremost, Desmos itself works do develop high quality activities with great teachers like Dan Meyer, Michael Fenton and Andrew Stadel. Create a login by syncing with your google account, and individualized links to teacher activities for your classes will be created for the activities. Follow Christopher Danielson (@trianglemancsd), the driving force behind much of this site's activities.

2. Get on Pinterest and search Desmos and you'll find many great pages dedicated to Desmos activities, and even more great pins.

3. Michael Fenton @mjfenton has been creating great lesson and posting them on his blog, www.reasonandwonder.com. Just last week he joined the Desmos team full time, a dream so many of us have 🙂 Check out the blog and lessons.

4. Follow @Desmos on Twitter, and occasionally search the hashtag #desmos and see what your colleagues around the country are creating and using.

5. The Math Coach Blog, by Bob Lochel (@bobloch): http://mathcoachblog.com/desmos-classroom-file-cabinet/ has a file cabinet of links curated from his own creation and from teacher submissions that are great for demonstration and interaction.

6. Chip Rollinson from Cambridge, Mass has created a blog page called Dynamic and Dynamite Desmos Demos. It's well organized and has many of the classroom demonstrations we all used to do by hand that can be shown to the class, individually investigated in a 1:1 environment, and linked to your website.

7. If you're looking for calculus demos, here is the first of two places you'll want to go. Patrick Honner (@mrhonner) has mrhonner.com and a Desmos Demos page worth spending some time on.

8. The second page has great 3D animated models on Desmos. Geoff Patterson (@geoffpatterson1)has outdone himself on his website: http://www.geoffofx.com/solids-of-revolution.html. These solids animations (and other links as you look around the site) enhance student understanding visually, and taught me more about desmos use than any other site. As a teacher, I encourage you to not only use the demo, but look through what was done to create it, and learn.

9. Desmos has done it again by curating a list of activities as Explorations. They're organized by math topic and can be edited and adapted by you. Go here: https://www.desmos.com/explore/ and do exactly that: EXPLORE!

10. Glenn Waddell (@gwaddellnvhs) has a page full of statistics and other activities and links to many of the other teachers he knows use Desmos, too. Visit his blog http://blog.mrwaddell.net/ and take some time to investigate.

11. Finally, The Daily Desmos site is creative and challenging and fun and can be found here: http://dailydesmos.com/ where a Daily Challenge is posted. Use them for yourself to engage with Desmos, or for your students every day!

I hope you'll not only enjoy learning about and using these activities, but will soon become a contributor to the Desmosiverse (copyrithg

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11 Places To Find Desmos Activities For Your Classroom

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We like the number 11 in our house. It's common in birthdays, lucky numbers, etc... So As you finish the 2014-2015 school year, here are 11 places you can investigate to find lessons and activities for 2015-16. 1. Teacher Desmos: https://teacher.desmos.com/ First and foremost, Desmos itself works do develop high quality...

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CRSTL Desmos Workshop

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When I first dreamed of , I wanted teachers to have their own "virtual classroom" environment so their students could log in, submit estimates and share their reasoning with each other. Understandably, I didn't (and still don't) have the financial resources to develop and house such a virtual environment. Instead, I settled by capturing student estimates and thinking through Google Forms and Sheets because they're free. One drawback to the Google Sheets is the fact that some students will enter potty language, potentially ruining the experience for their classmates or even other teachers and students elsewhere in the world. Another drawback was the lack of visual representations of the data being collected. Google Forms and Sheets has served well and I'm thankful for it. At this point it will still be a part of Estimation 180, but it's time for an upgrade. A serious upgrade!
​
It's 2017 and many things have happened since that day when was just an idea in my head. I've learned a great deal about student thinking around estimation, representing estimates on number lines, displaying student estimates in histograms, and more. As most of you can agree, we've also been extremely fortunate to be given access to building Desmos activities for the past few years. Without further ado, I'm pleased to announce the first series of Estimation 180 challenges housed in Desmos Activity Builder. I've combined a new series of Estimation 180 challenges (Ketchup Containers) with the Desmos Activity Builder. Thanks to Lynda Chung, Dan Luevanos, Kristen Bennett, and Hedge for testing these out in your classes and the valuable feedback you gave me.
I'm excited:

to share with you

to hear your feedback and classroom experiences

to build more of these

Before jumping into the activity, the remainder of this post provides tutorial notes and videos for each of the five screens in one challenge. Definitely worth checking out the videos below, my friends.

The 1st screen is important because the student need to enter an estimate that is too low, too high, and just right. If the student fails to enter these three values, they won't be able to participate in the four screens that follow the first screen.

Notes on the 1st screen:

use the "Pacing" to restrict students to the first screen

check your teacher dashboard to:

ensure every student has submitted a too low, too high, and estimate

check to see if any students used the sketch tool to share their thinking

The student's too low and too high are placed on a number line as red points with labels. I love this new addition to estimation challenges because it presents another opportunity for the student to strengthen their number sense by becoming more familiar with a number line. Using the sketch tool, the student can simply place a point on the number line that best represents their estimate.

Notes on the 2nd screen:

Use "Pacing" to include screens the 1st & 2nd screens in case students want to revise their range

Consider having students calculate the range of their too low and too high before moving to the 3rd screen.

The student will find out where their estimate is actually placed on a number line between their "too low" and "too high". The student will also be told the range between their "too low" and "too high". Additionally, the student will be asked to explain how they came up with their estimate.

Notes on the 3rd screen:

Use "Pacing" to include the first 3 screens in case students want to revise or revisit the original image

Look for opportunities to discuss student ranges:

what make a brave range?

what estimates are not the midpoint of the too low and too high?​

Screen 4 could be one of my new favorite screens and ways to make these estimation challenges even more social in the classroom. Inspired by Graham Fletcher, this screen will capture the "estimate" from every student on the first screen and place them in their respective histogram bin (range). For screen size purposes, I limited it to five bins (ranges). If you're wondering how the bin sizes are determined, here's the short story.
The histogram will calculate the range between the lowest class estimate and the highest class estimate and pretty much divide it into roughly five equivalent ranges. Pretty slick, right?

On this screen, the student is asked, "How does your estimate compare to your classmates' estimates?"

Notes on the 4th screen:

Consider using "Pacing" to restrict students to this screen.

Listen to (or look at the dashboard for) student thinking and what they notice about the histogram.

The reveal! ...but don't go too fast.
PAUSE student screens immediately or pause it back on the fourth screen. Part of the magic of Estimation 180 is watching the reveal video together! Play the video from your dashboard using the "Student" button in the top right.

Let students celebrate or disagree with the reveal and remind them the journey is what matters most. When the dust has settled, resume the activity and restrict students to the fifth screen so they can watch the video. At the end of the video, students are provided with their percent error and asked to explain their percent error.

Notes on the 5th screen:

PAUSE student screens immediately or on the screen before (4th screen)​

Play the "reveal" video from your teacher dashboard.

After the video, allow student to voice/discuss their celebrations or concerns about the reasonableness of the final result.

Remind students:

it IS NOT about "the answer"

it IS about their thinking, their plan, their range, their critique of others, and the process

consider asking students, "now what do you wonder?"

The first challenge in an Estimation 180 series can be considered a guess for some students because they might lack the reference or information to make a reasonable estimate. That's totally understandable. When we enter the second day of an Estimation 180 series, students have an anchor challenge they can refer to now. Therefore, I believe it's reasonable for us to expect students to consider what they already know from the first day and use that information for making a reasonable estimate on the second day. So when we go to show the video reveal, there's more to it than just watching the video. Let's discuss percent error. Watch tis video to see what I mean. I think you're going to like it.
​
Resume the activity after watching the video reveal as a class:

Allow students to watch the video on their device

At the end of the video, students will be asked to explain their percent error

Most fast-food restaurants have been using ketchup dispensers for awhile now. Ketchup packets are still helpful for those on-the-go situations. I've always wondered how many packets would fill those paper containers that restaurants offer at their ketchup dispenser stations. So this wondering turned into a series of Estimation 180 challenges. Before we move forward, and so we can remain friends after this, let's agree that not everyone fills their ketchup packets the same. Personally, when I fill my ketchup containers, I hack it by spreading out the paper folds to increase the container's volume. Secondly, if I can avoid wasting paper, I will. That said, I tend to use one paper container. Lastly, I want to make the fewest trips possible to that ketchup dispenser during my meal so I will jam as much ketchup in that hacked paper container as possible. Take it or leave it, that's how I roll. So hopefully this information will help after you (and your students) have gone through this series. Remember, it's all about estimating and reasoning, not answer-getting.

The Ketchup Containers series starts on Day 221. Enjoy!

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When I first dreamed of , I wanted teachers to have their own "virtual classroom" environment so their students could log in, submit estimates and share their reasoning with each other. Understandably, I didn't (and still don't) have the financial resources to develop and house such a virtual environment.

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The Desmos activities on this page are ones that I created, including a few that were edited by the awesome Desmos Teaching Faculty. More Desmos activities are available at teacher.desmos.com and also at the Desmos Bank.

Lesson 12 Solving Equations with Number Properties

Lesson 14 Solving Inequalities with Number Properties

Lesson 19 Rewrite Equations of Lines in Slope-Intercept Form
Lesson 20 Linear Equations in Standard Form

Lesson 21 Linear Inequalities in Standard Form

Lesson 23 Introduction to the Elimination Method for Solving Systems of Equations

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The Desmos activities on this page are ones that I created, including a few that were edited by the awesome Desmos Teaching Faculty. More Desmos activities are available at teacher.desmos.com and also at the Desmos Bank.

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Desmos Fellow Cohort 1 (2016)

I've compiled my Desmos activities into a Google Sheet. The activities are grouped by grade level bands, K - 2, 3 - 5, 6 - 8, and 9 - 12. Find the current list of elementary, middle-level, & high school activities here.

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Desmos Fellow Cohort 1 (2016) Reorganizing! I've compiled my Desmos activities into a Google Sheet. The activities are grouped by grade level bands, K - 2, 3 - 5, 6 - 8, and 9 - 12. Find the current list of elementary, middle-level, & high school activities here.

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mathcoachblogRamblings of a HS Math Teacher

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mathcoachblogRamblings of a HS Math Teacher

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Desmos "Top 5" Handout - share for Desmos beginners

Desmos Bingo - Created by Michael Fenton and the Twitter Math Camp crew. Progress through, beginner, advanced and legend tasks. Great for school PD!

Desmos Bank - teacher-created Desmos links. Searchable by subject and topic. Thanks to Jed Butler for creating this excellent resource.

learn.desmos.com - new to the Desmos game, or looking to sharpen your skills? This is your one-stop shop of hints, ideas, and activities. Use the resources to run your own self-directed PD session.

teacher.desmos.com - try Desmos-created activities with your class. The famous Penny Cirlce, Function Carnival and Polygraphs. Then try your hand at making your own with the new activity builder. Here are a few activities I have used in my classes, from algebra 1 through statistics. To experience them as a student click the "as a student" link, or "steal" them using the links I've provided and edit them as you see fit. Enjoy!

Mean, Median and Variability: participate as a student

Properties of Quadratic Functions: participate as a student

Discovering Linear Inequalities: participate as a student

Building Rational Functions: participate as a student

Comparing Distributions by Center and Variability: participate as a student

Kohl's Cash! (step functions): participate as a student

Ready for 9th Grade? (I use this on day 1 to assess student skills): participate as a student

Wild About Absolute Value: participate as a student

Expressing Number Patterns (arithmetic sequences): participate as a student

Mean, Median and Variability: participate as a student

Parallel and Perpendicular Lines: participate as a student

ACTIVITIES FOR AP STATISTICS: I use "The Practice of Statistics" 4e.

Describing Distributions, chapter 1

Shape and Measures of Center, chapter 1/2

Normal Distribution Practice, chapter 2

Ogives and Percentiles, chapter 2

Correlation and LSRL's, chapter 3

Regression and Mini-Tab Output, chapter 3

Probability and 2-Way Tables, chapter 5

Practice with Binomial Probability, chapter 6

Sampling Distributions, textbook questions recap, chapter 7

Matched-Pairs Hypothesis Testing, chapter 10

A collection of links I have created for and used in my classroom, featuring the Desmos online graphing calculator: https://www.desmos.com/. Many of these are simple demonstrations you can use in classroom lessons. I often share them with students on Edmodo to have students follow along with flipped videos, or to allow students to recap ideas we have learned.
Looking forward to populating this further! Contact me if you have any links to add and share, or if there is anything you would like to see.
AP Statistics lessons - here is a blog post which explains how to include these lessons in your stats course.
Binomial Probability Distribution Regression Facts Explaining the Coefficient of Determination
Influential Points - observe the influence of points on the LSRL.
Eccentricity of an ellipse
Focus / Directrix of a parabola, by @greenkirill
Hyperbola (opens up/down) Hyperbola (opens side/side) Shared Work Problem Graphs of logarithmic functions Complex Number addition
Parametric Equation Intro with Worksheet
Parametric Equations - Is Cowboys Stadium Scoreboard Too Low? Even and Odd Functions Factoring the difference of perfect cubes Absolute Value Inequalities Piecewise function example, with slider Related rates opener Build the ideal snowman Function puzzle
Gradient Correlation - I have no idea what the significance of this is...but give it to your students and let them play.

Fireworks! by the Desmos team

VIDEOS!

Conic Sections Project - thanks to the Desmos crew for the awesome editing job.

Desmos Learning Session

DOMAIN RESTRICTIONS AND PIECEWISE FUNCTIONS

INVESTIGATING INEQUALITIES

BUILDING "MATCH MY FUNCTION"

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Desmos "Top 5" Handout - share for Desmos beginners Desmos Bingo - Created by Michael Fenton and the Twitter Math Camp crew. Progress through, beginner, advanced and legend tasks. Great for school PD! Desmos Bank - teacher-created Desmos links. Searchable by subject and topic. Thanks to Jed Butler for creating this excellent resource.

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In 6th grade we start the year with a little bit of geometry and decimal operations. In Minnesota, students add and subtract decimals in 5th grade and in 6th they are introduced to multiplying and dividing decimals. I made some improvements to this unit this year, and even though I wish I were better at teaching some of these concepts, I can't ignore the fact that I did make improvements from last year. If I keep working each year to make it better, eventually I will get closer to where I want to be when it comes to teaching these things.

Our first unit is broken down into 4 parts: the coordinate plane, area, multiplying and dividing decimals, area on the coordinate plane.

The Coordinate Plane

I read Tom's post on creating a need for the coordinate plane a couple of years ago and knew I had to try it. This is the second year that I've used it, and I think it is a really good way to introduce the coordinate plane to students.

After we have talked about the parts of the coordinate plane and plotting order pairs, students do this Desmos card sort.

Then we do this Desmos activity from Nathan Kraft. This is usually students' first time using Desmos, and I love watching them go from being somewhat confused with how Desmos works at the start to absolutely LOVING Desmos about 2 slides later. 🙂

Area

Then we start working on finding the area of figures. I use a lot of Notice/Wonder with GIFs to talk about finding the area of various shapes.

For students to get some practice finding the area of shapes, I use this worksheet. It is similar to Sara Van Der Werf's Add 'Em Up activity, but in worksheet form. I use this before we do area of trapezoids.

For practice on finding the area of trapezoids, I don't do anything fancy. I have pictures of trapezoids that I tape around my room and have students walk around in groups solving the problems.

I do a few other things with compound area and estimating decimals before we start multiplying and dividing decimals.

Multiply Decimals

I tried something new this year to introduce multiplying decimals. I started by putting a decimal multiplication problem on the board and had students estimate it. Then I had students multiply the two numbers and told them to forget about the decimal until the end and to use their estimation to figure out where to put the decimal. After doing one problem together, I had students do several problems in a group and told them to look for a pattern regarding where they put the decimal at the end. For the most part, students were able to see the pattern and tell me the "rule" for multiplying decimals. I realize this isn't perfect, but it's better than what I had been doing in the past, so I was happy about that.

Open Middle has a couple great problems for multiplying decimals.

Dividing Decimals

I used the following image to start our conversation about dividing decimals.

Generally students notice that the answer stays the same. Sometimes students think that the answer of 4 each time is wrong, so we have a conversation about that. Someone usually says that you add a zero to the divisor and the dividend each time, and usually someone else in the class knows that both numbers are being multiplied by 10.

In my experience, this has lead nicely into dividing decimals, and as we continue to work on that, I reiterate that when you multiply both the divisor and dividend by 10 (or multiples of 10) the quotient remains the same.

The reason I put decimal operations in the unit with area was so that after doing both concepts, I can put them together to review both at once.

Estimate Area on the Coordinate Plane

I have always struggled to find good practice problems for students on the types of problems in the standard above. This year, I found a few pictures online and turned it into a Desmos activity.

If you use anything in your classroom that you feel would fit with this unit, I would LOVE to hear about it!

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In 6th grade we start the year with a little bit of geometry and decimal operations. In Minnesota, students add and subtract decimals in 5th grade and in 6th they are introduced to multiplying and dividing decimals.

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Has it ever been so simple to create and share interactive math lessons that rock? The Desmos Activity Builder is inspiring math educators all over to take lesson ideas to new levels. Head on over to Twitter and search for @Desmos and/or #ActivityBuilder... and you might just bump into exactly what you're looking for... or at the very least, something BETTER than what you've done before!

I recently used this Dilations activity shared by Andrew Stadel along with my own Dilations Nearpod lesson with students, and that was all it took to get hooked! Inspired by Andrew's work, I whipped up this Reflections exploration to see what it was like to create my very own Desmos Activity.

It's quite easy! Go here and select "Start Building an Activity". The sky's the limit - mix "Graph", "Question", and "Text" options to create a Desmos journey, and share it on Twitter using the #ActivityBuilder and #MTBoS hashtags. You know that lesson topic you dread? Or the one that kids don't "get" or "see"? Could Activity Builder help? Creativity is key, and let me tell you, there are already quite a few creative people out there making great stuff.

Looking for something specific? Want to share activities you've made? You should check out the Desmos Bank. P.S. I can't wait for my students to experience this activity by Michael Fenton in a new Desmos Activity format!
Have you seen this? I can't. Stop. Clicking.
Also worth mentioning is this nifty "overlay" option of viewing student work - super cool.

Loving the @desmos overlay feature in Activity Builder tasks - easy to see trends in S work! cc @mr_stadel pic.twitter.com/70LELY1vxw

- Cathy Yenca  (@mathycathy) October 26, 2015

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Desmos Activity Builder - Not to be Missed!

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Has it ever been so simple to create and share interactive math lessons that rock? The Desmos Activity Builder is inspiring math educators all over to take lesson ideas to new levels. Head on over to Twitter and search for @Desmos and/or #ActivityBuilder... and you might just bump into exactly what you're looking for...

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Here Are Ten New Desmos Activities

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The Desmos quarter just ended and this was a huge one for the team of teachers I support.

First, we made substantial upgrades to our entire activity pool. Second, we released ten new activities in the same amount of time it took us to release one activity two years ago. This is all due to major improvements to our technology and our pedagogy.

Technologically, our engineers created a powerful scripting language that hums beneath our activities, enabling us to set up more meaningful interactions between teachers, students, and mathematics.

Pedagogically, my teaching team has spent the last year refining our digital mathematics pedagogy through daily conversations, lesson pitches, lesson critiques, summary blog posts, occasional lunch chats with guests like the Khan Academy research team, and frequent consultation with our Desmos Fellows.

The result: we cut an activity pool that once comprised 300 pretty good activities down to 127 great ones, and we gave each one of those 127 a serious upgrade, making sure they took advantage of our best technology and pedagogy. Then we added ten more.

I don't think I've learned as much or worked as hard in a three-month span since grad school, and I owe a debt of gratitude to my team - Shelley Carranza, Christopher Danielson, and Michael Fenton - for committing the same energy. Also, it goes without saying that none of our activity ideas would have been possible without support from our engineers and designers.

In future posts, I'll excerpt those lessons to illustrate our digital pedagogy. For today, I'll just introduce the activities themselves.
Picture Perfect
Hang loads of pictures precisely and quickly using arithmetic sequences.
Game, Set, Flat
Your shipment of tennis balls has been contaminated. Use exponential functions to find the bad ones.
Graphing Stories
Graphing Stories comes to Desmos just in time for its tenth birthday.
Pool Border Problem
One of the oldest and best problems for exploring algebraic equivalence. We wouldn't have touched it if we didn't think we had something to add.
Laser Challenge
Use your intuition for angle measure to bounce lasers off mirrors and through targets.
Lawnmower Math
Use Algebra and the properties of circles to help you mow ten lawns automatically and quickly.
Land the Plane
Use linear equations to land airplanes safely and precisely.
Circle Patterns
Practice circle equations by completing artistic patterns.
Constructing Polynomials
Develop your understanding of the behavior of polynomial graphs by creating them piece by piece, factor by factor.
What's My Transformation?
This is my favorite introduction to the concept of a transformation. "Actually, there's really only one parabola in the world - we just move it around to make new ones."

We are still testing these activities. They are complete, but not complete complete, if you know what I mean. You won't find all of them in our search index yet. We welcome your feedback.

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The Desmos quarter just ended and this was a huge one for the team of teachers I support. First, we made substantial upgrades to our entire activity pool. Second, we released ten new activities in the same amount of time it took us to release one activity two years ago....

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Desmos Activity Builder: Best Practices for Charging Up Lessons

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Desmos Activity Builder: Best Practices for Charging Up Lessons

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Desmos Activity Builder: Best Practices for Charging Up Lessons

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Webinar: Presented by Shelley Carranza: Interested in learning more about Desmos Activity Builder? Want to know how to use it to help your lessons and not hinder them? My district has been using Desmos Activity Builder since the beginning of the school year.

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https://attendee.gotowebinar.com/recording/543138241116767491?assets=true

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by Daniel Kaufmann

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Number Matching 1-5 (Computer) * Activity Builder by Desmos

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by Christopher McCaffrey

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Number Matching 6-10 (Computer) * Activity Builder by Desmos

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by Daniel Kaufmann

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Adding Fractions - Common Denominators * Activity Builder by Desmos

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Use this activity show the need for common denominators when adding fractions.