Quadratics Intro ThingLink

I just whipped this up for my students to explore.  I like to use ThingLinks as anchoring activities initially, and as study guides throughout and at the end of a unit of study.  My students have a test on factoring this Tuesday, and will use any extra time after finishing the test to familiarize themselves with upcoming topics using this interactive image.

I used Keynote to make the background image, and created several graphs using Desmos.

Feel free to use, share or provide feedback!

Screen Shot 2013-02-10 at 5.03.24 PM   To add some accountability to students’ exploring, I created this “Quadratics Poster” which is a graphic organizer in disguise.  As students explore the ThingLink, they can answer some basic questions about quadratics.

Follow-Up: I used the ThingLink today with Algebra students.  I let them know I was going to ask every student to answer this simple question after their “nubbin” exploration: What is one thing you learned about quadratics? After giving students 5 minutes to explore, I went around the room and posed the question again… and got a unique response from every student before ever referencing another resource for this chapter.  Very cool way to… pre-teach?  Is that even a word?  😉

Follow-Up Part 2: Check out an amazing extension thanks to Keith Tramper – using a very smart Google form to hold students accountable:  

Posted in Algebra 1 | Tagged , , , | 8 Comments

A Paper and Popcorn Misconception

Dan Meyer's Popcorn Picker

I showed the following Dan Meyer vid to my 8th graders this week as we dove into volume and surface area.

 

 

Their responses were… well, characteristic of 8th graders:

a) What’s wrong with the video?  Why did it stop?

b) Why is he smiling so much?  It’s just popcorn!

c) Why did he make this video?  He has too much time on his hands!

d) Are they twins?

and finally, a mathematical hypothesis…

e) I think the same amount of popcorn is in each – after all, the paper is exactly the same size!

Screen Shot 2013-02-09 at 9.02.13 PM

One student who I was working with one-on-one was particularly curious about the video.  Since we weren’t in a setting with a whole class full of kids, I was able to indulge him a little more.  “Do you want to reenact the video?  What supplies would you need?”  At his request, I offered him two sheets of paper, some tape, a ruler, a calculator, and a little bit of breathing room.  (No, no popcorn). After taking a few measurements, he admitted he wasn’t quite sure what to do next.  We discussed volume and I sketched a few things on the board to get him thinking, and he was at it again, completing his calculations while literally kneeling on the floor.

Screen Shot 2013-02-09 at 8.55.41 PM

After he had some solid volume calculations, I showed him the sequel:

Clearly, the student was delighted that his calculations matched what happened in the video.

 

I said to him, “E., so you learned a little something about volume today, eh?”

His response, without hesitation:  “Always go with the fat one.”

Nice.

 

Posted in Algebra 1, Pre-Algebra | Tagged , | 4 Comments

ThingLink with Geometry 3-D Topics

Here’s a tidbit I created for students to reference during our 3-D geometry unit.  I had some trouble finding iPad-friendly links to interactive resources 🙁 because so many are flash-based.  Nevertheless, I really like the way ThingLink handles video links!  Very cool!

I plan to have students analyze the way the formula is presented for the volume of a sphere… syntax when typing fractions without an equation editor may change mathematics unintentionally!  Rather than omit the resource, I think having a meaningful discussion about the formula might be mathematically rich and worthwhile.

Feel free to use or share!

Additionally, here are some graphics I created that help students “break down” the formulas to find the lateral and total surface areas of cylinders and prisms.  Enjoy!

Curious about ways to use ThingLink in the classroom?

Here are some great ideas!

Screen Shot 2013-02-10 at 5.29.17 PMScreen Shot 2013-02-10 at 5.29.04 PM

Posted in Algebra 1, Pre-Algebra | Tagged , , | 3 Comments

Polynomials QR-operative Practice

Monday – the day after the weekend and before a visit to TCEA13 in Austin – what’s an algebra teacher to do?  Why not something QR-operative? (think cooperative, but using QR-codes… I so easily amuse myself…)  On Friday, I felt like I did WAY too much talking during instruction, and students needed a day to talk to one another.

QR-operative

 

I examined my list of learning targets for this unit on factoring polynomials, and made 6 Keynote slides – a slide to address each one.  After saving the Keynote as a PDF and splitting it into two parts, I housed each of the two PDFs on a “hidden” page in my Weebly teacher website, created QR codes linking to each of the documents, whipped up a template for student work, and gave them lots of opportunity for math conversation today.  It was exactly what they needed – what a joy to witness “A-Ha!” moments!

 

If you’d like to see the file, here’s a link to the resource.  The QR codes are right there on the template, which made it easy for students to access the problems in the first place, and will make it easy to revisit the problems on their iPads after receiving their papers back with my comments added.  (Better than my earlier attempts at taping QR codes on classroom walls – while it’s great to have students walking around, I felt like QR codes on the work template made the activity more cohesive!)

Here are a few classroom pics – you can almost hear the meaty math talk just by looking at them!

 

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What is your “philosophy of homework”?

During a PLC meeting today, our math department was asked to think about our current grading policy, and give feedback regarding its success as well as changes we thought might improve things for next year.  This discussion had us asking very fundamental questions about assessment and student learning.

One hot topic that I’m still mulling over is the simple idea of homework.  Math teachers out there – how do you “grade” homework?  Is it primarily a completion grade?  Do you actually collect and “grade” it for correctness and accuracy?  If you do, how often do you do this?  If scored for completion, are we assessing learning?  If we don’t score homework for correctness, should we score homework at all?  Or do we do away with scoring homework entirely?

The reason I am asking is that all of these layers were part of today’s discussions.  I would love to hear your “Middle School Mathematics Philosophy of Homework” to help me see and understand different perspectives.  I have strong opinions, but I’m trying to remain open to thinking about homework in ways that may be new and uncomfortable for me.  Feel free to share thoughts and references – I’ll weigh in as you weigh in… GO!

Posted in Algebra 1, Pre-Algebra | Tagged | 18 Comments

Thank You Edutech for Teachers!

Thank you to Jamie Forshey for inviting me to be a guest blogger on her blog,  Edutech for Teachers!  Check out Jamie’s blog for lots of classroom techie tips!

Edutech for Teachers

Also worth mentioning is Jamie is located in Central Pennsylvania!   My hometown is outside of Pittsburgh, I am a Clarion University graduate, and I lived in the Lehigh Valley on the eastern side of PA for 13 years before moving to Austin.  Nice that we both have ties to PA.  Thanks again for the opportunity to share, Jamie!

 

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So Simple – Get Every Kid “To The Board” With Nearpod

I feel silly even posting this – it’s so simple and obvious, surely everyone who has used Nearpod in the mathematics classroom has already thought of this!

Today, at 6:45am as I flipped my head upside-down to blow dry my hair, the idea flooded my brain like a bolt from the blue – make a simple Nearpod “template” if you will, and use it to virtually “send every kid to the board” to do a problem during homework review.  Make the “template” generic enough that I can use it on a whim, as needed, anytime.

After flipping my hair right-side-up and tucking it behind my ears, I bolted to my iMac and slapped together a quick Keynote containing 2 slides, e-mailed it to myself, and uploaded the PDF to Nearpod when I got to my classroom.  It goes a little something like this:

Slide 1:

Homework Review Slide 1

 

“Slide” 2 – “Drawing” Tool in Nearpod:

Virtually Going to the Board

 

Slide 3 – Generic “Any Questions?” PDF slide required by Nearpod (the last slide in a Nearpod presentation can’t be an interactive feature).

I chose 3 “meaty” problems from last night’s homework (multiplying polynomials) and assigned one problem to each row of students.  I asked them to use specific ink colors so I could scan through the problems quickly from the teacher view on my iPad (problem #3 was done in red, problem #10 was done in blue, and so on).  Once everyone submitted their work, I “pushed” sample problems to the students for discussion.  Nearpod provides a great way to address error analysis anonymously!  It was also very easy for me to scan all the problems in red ink to see if everyone agreed, if all the blue ink matched, etc.

When I came home to write this blog post, I logged in to Nearpod on my iMac from the teacher side to revisit student work from today.  Thankfully, everybody seemed to know what they were doing, with only minor errors, but this report feature could really come in handy when things go awry in Algebra.  Here are some work samples:

#3

And here is the view from my iMac of all the  student work images from today – very cool.  Student names are attached to each one, since students type their names when joining a Nearpod.  Simply download them from the Nearpod site.

Student Work Images

Since this presentation is so general, I figure I will get many miles out of it.  The kids really liked the format since I presented it with the perspective that “EVERYBODY gets to go to the board!”  I was that student that NEVER, EVER would have been caught dead solving a homework problem on the board in front of my peers.  With Nearpod, I had a quick work sample from every kid, shared correct and incorrect samples anonymously, and every student was engaged and held accountable.

Posted in Algebra 1, Pre-Algebra | Tagged , , , , | 13 Comments

Thatquiz.org: A Great (iPad-Friendly) Freebie for Skill Practice & Formative Assessment

This gem deserves a standing ovation!  Or, at the very least, its own dedicated blog post by yours truly.  Every time I have shared thatquiz.org with other teachers they:

A) Have never heard of it

B) Love it!

Thatquiz.org is a simple website with more power than meets the eye.  At first glance, it’s a menu of mostly math skills for students to practice.  Good start.

Thatquiz homepage

When I introduce thatquiz to students, I encourage them to choose topics that interest them.  (They’re going to explore anyway, might as well let ’em try Calculus!)  Once a topic is selected, the left side of the screen allows for customization.  For example, choosing “Arithmetic” under “integers” results in this menu of choices:

Thatquiz Options

Once students choose their constraints, thatquiz generates a random “quiz” on the spot.  Students are given “Right” or “Wrong” feedback in the upper right corner after answering each question.  Thatquiz reportThen, thatquiz provides a summary at the end of the quiz with some stats and links to additional resources online.

While this “free play” technique is a great way to introduce students to the site, a teacher may want a little more control over the content.  One simple way to do this is for the teacher to generate a quiz with desired constraints.  To do this, choose a topic from the main page and constraints on the left side, but select “Make URL” at the bottom.  A unique link appears that can be shared with students.  While this affords a little more focus and control, the data from student quizzes disappears when they’re done.  To keep an eye on student progress, I’ve had classes do things like “Show me your screen when you get an 80% or higher, otherwise, try again.”  It’s good to glance at screens, but better to have data to reference…

Create an accountSo… there is an even better way to keep track of student progress that takes a little bit of start-up time, but is well worth it.  Teachers can sign up for a free teacher account and “create classes”.  To create a class, type or import student names.  It’s also recommended that each student has a password, also determined by the teacher.  Once classes are created, the teacher can assign quizzes to specific classes.  The great thing about the quizzes is they are automatically generated, as before, based on chosen constraints.  Don’t like the first quiz made by the website? Regenerate it and see if thatquiz makes one more to your liking.  Then make more quizzes on more topics – as many as you’d like!

Creating classesEach class receives its own unique “home page” link.  Students go to that link, choose their own name from the class list, login using the password assigned by the teacher, and choose a quiz from the list.  Data from each student is recorded as “Grades” in thatquiz that can be viewed by the teacher.  I like to watch the scores in real time using my own iPad as I circulate a class of students trying quizzes on their own iPads.  A note about thatquiz and iPads – have students landscape orient their iPads, otherwise the number keypad gets in the way of the problems they’re trying to do.

Sample GradesThere are lots of options – do you want students to have instant feedback on every question?  Can students “retake” a quiz?  The teacher has quite a bit of control here.  Generally, I keep feedback off until the report at the end of each quiz, and I don’t allow students to retake a quiz without first having the opportunity to examine their scores and errors.  I will happily erase a “bad” score once I’ve conferenced with a student about mistakes and helped him or her along.  Once I erase the “bad” score, the quiz in question is able to be taken again.

To help organize all the “home page” links for my classes this year, I used thinglink to create an image for my teacher website.  I created the thinglink background image using a Keynote slide.  After uploading the image to thinglink, I created hyperlinks for each thatquiz class homepage, as well as quizzes I generated for practice.  Since student accounts are password protected, you won’t have access to the quizzes here, but you get the idea.

I am still not doing this website justice here!  My understanding is that folks can also create their own quizzes using thatquiz, and that there is a whole level of this website that I haven’t explored yet!  My uses are primarily for skill and concept review and practice AFTER something has been taught.  I am sure there is more I could be doing with this awesome site, and that is why I hope a curious reader will tell me more about untapped features that will benefit my students!

Have YOU used thatquiz.org?  How are you using it?

 

Posted in Algebra 1, Pre-Algebra | Tagged , , , , , , | 10 Comments

Nearpod Helped Make a Good Question Better

Every year I look forward to presenting this quadrilateral question to middle schoolers before defining special quadrilaterals.  I know, I know… it’s sort of a “trick question” since kids assume multiple choice questions have only one right answer (and why shouldn’t they assume that in this education era of high stakes testing… but that’s another story…).

Intro to Quads

In the past, I would fire up PowerPoint and display this slide to the class, asking them to raise their hands to respond in voting style.  It was effective, but Nearpod helped “kick it up a notch”.

First, using Nearpod, I presented the slide shown above to the students and asked them to silently ponder the question.  Next, I presented the question again, but in poll-style.  What I didn’t tell them was that I had set up this poll in such a way that more than one answer could be selected.  As in years past, students chose one answer the first time around.

Quad Question, Take 1

 

Then it happened – students started looking around the room, whispering, and questioning their initial reactions.  We all looked on as the graph completely changed!

A-ha!

Quads - Take 2

We went on to define the characteristics of special quadrilaterals, referencing this experience and emphasizing that precise definitions in Geometry are more important than first impressions or preconceived notions.  I was impressed with the students that they noticed the graph in Nearpod was trying desperately to add up to 100% but could only get to 99%  That’s okay – they got the point 😉

 

 

Posted in Algebra 1, Pre-Algebra | Tagged , , , | 1 Comment

Why Frustrate?

This week, I was helping a student prepare for a chapter test on percents and their applications.  He went online to take the interactive practice test and this question, and “answer”, left us scratching our heads:

If a student can mentally (correctly) calculate 56/70 as a decimal, then percent… why does he get a big ol’ red “X” for it?  Sorry – just had to vent.  I do not like when the textbook  tries to tell my students how to think.  Grrr.

Why frustrate?

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