FactorMan Champion Shares Strategies

When I introduced my students to the free FactorMan app, I had no idea how it would impact some of them.  It seems this app has really captured some students, so much so, that they are playing it on their own time.  And apparently, they are playing it a LOT.

One student was on a FactorMan Mission, and he accomplished it this past weekend.  Proudly, he e-mailed me these screenshots to prove that he had defeated FactorMan at every level.  I asked him to share some strategies, and here is what Patricio said:

“As for my strategies, just get all of the numbers that have only one other factor at first and remember to take your time. There is a certain strategy for each level but what I use for basically all of them is get all of the odd numbers first or try to get as many as you can. And that’s it!
-Patricio

Ps: whenever you think about putting a number (ex: 21), but it has more factors (7), try multiplying the other factors that is in the way by itself (7 x 7 = 49) because if you already chose the biggest prime number, then 49 will only have 7 as a factor.” 

Thanks, Patricio!  I crown YOU the next FactorMan!


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

Using the iPad to Test the Textbook: Snail Racing…?

Melb cup 07 041

The topic – direct variation

The application – snail speeds

An example from our text had us scratching our heads… not about the concept of direct variation, but rather… about how fast a snail can actually travel.  When we encountered this problem, and took a look at our square-foot floor tiles in the classroom, we wondered… was this direct variation accurate?  Was this a racing garden snail, by chance?  The speed seemed a little fast for a snail!

One student took it upon himself to start researching right away.  He opened up his iPad, went online, and found the following information regarding the speeds of snails.  No spoiler here – I am asking for student evidence on this one.

 

 

Was the text accurate?

Can you apply the mathematics we’ve already learned this year to support your case? 😉

Go!

Posted in Algebra 1, Pre-Algebra | Tagged , , | 5 Comments

With DocAS, Students *DO* Like Doing Math on the iPad

Our staff is brand-new to this 1-to-1 iPad gig.  We help each other, share ideas, and seek help and feedback from our students.  Recently, I heard a broad generalization about our 1-to-1 that irked me…

The statement was that the students “don’t like doing math on the iPad”.

So, I had to investigate – what did this feedback actually mean?  I surveyed my students and sure enough, they said they would rather “do math on the iPad” than paper.  I asked them where they thought this generalization might be coming from.  Upon digging deeper, it wasn’t “doing math” that some disliked – it was the limitations of some of the apps we have been using that left a bad taste in their mouths.  Some also admitted that it wasn’t the math itself, but the fact that they hadn’t purchased a stylus yet that made math less-than-delightful on the iPad.  Most students have taken care of that issue.

After having this chat, I have been incorporating more PDF files to annotate when appropriate.  I have also come to appreciate the DocAS app a LOT.  So have my students.  DocAS has a neat organization system built right in that some annotating apps currently lack.  I taught students how to create an Algebra folder within the app, and move documents into the folder to keep their iPads clutter-free.

One annotating task that worked well was a graphic organizer on the concept of “slope”.  We zoomed in and out of the PDF to tackle one section of the G.O. at a time, as students helped to co-create its contents.  You could seriously hear a pin drop as students customized these.  It was fun for me to pause and watch them work.  No one could argue that every single student was engaged.  I asked, “How many of you would have preferred a paper copy for this task?”  No hands went up, but I got some very weird “are-you-kidding-me?” looks!  😉

 

Another task we completed was a quick activity to get ready for slope-intercept form.  The PDF simply said “Solve for y” and the students used DocAS to apply the algebra they knew to solve various linear functions for the variable “y”.  Students especially enjoyed using what I call the “zoom box” feature in DocAS for this task.  Basically, the app becomes a split-screen experience such that the top of the screen shows a “zoomed out” view, while the bottom portion of the screen becomes a “zoomed in” view of wherever one places the “zoom box”.  This feature really helps make math work legible as well as appropriately sized.  The incredible ability to zoom in and out on the iPad enables many things that paper never could.

Students became somewhat competitive on the “beauty” of their work as well.  Initial work was quite simple, but some took full advantage of the limitless color palate in the app and made their PDFs quite aesthetically pleasing.  Students were eager to present solutions to the class, knowing how “pretty” their problems had become.  I have no problem with students having a little bit of fun using colorful “ink” if the algebra is on track.  And it was.

DocAS also has a nice “Stick Note” feature.  At the bottom of the PDF, I posed the question, “What is the benefit of solving an equation for y?”  As a paper copy,  there literally would have been no room to answer this follow-up question.  With a “Stick Note” in DocAS, we were able to answer this question… and put notes-to-self all over the place if needed!  Simply go to the paper icon in the top right corner and choose “Stick Note” at the bottom of the list.  Type needed notes, then close it up and it shrinks to an itty bitty call-out that can be moved anywhere in the document.  Click on the mini call-out to see the note any time.  The kids really liked this feature!

 

I don’t doubt that students may have initially commented about their distaste for “doing math” on the iPad.  I wasn’t a fan of DocAS and expressed my distaste for it the first few times I tried using it.  (A side note – it does lag a  little, even now.)  But a fantastic update and a little elbow grease have paid off.  I feel more comfortable using the app, I understand many of the basic features and have been able to convey some of them to my students. Features I was unsure of… well, I just let a student guide us through what to do.  I love learning from them when they have more experience with an app than I do.  I am never alone.  We are all learning.  And as we learn and get beyond our first impressions of something new, sometimes we change our minds.

 

P.S.  If you’d like a copy of the “Solve for y” sheet featured above, just zap this QR code:


 


 


Posted in Algebra 1, Pre-Algebra | Tagged , , , , | 7 Comments

Animator Free App Helps Students Understand Exponents

Every year, there is a concept with exponents that students just “don’t get” the first time around.  Namely, the difference between expressions like (-2)^4 and -2^4 mystifies them.  Some “don’t get” it the second or third time around.  Throw variable expressions in the mix, and you have a mess.  That’s where I am right now with some of my students.

We had a wacky schedule today that afforded me some time to be novel with my approach to this re-teach of a re-teach.  I decided to let my students use the Animator Free app to design an animation of a problem involving exponents.

I modeled several problem types and left them up for the students to reference as they began their projects.  Students loved using this app!  Of course, some wanted to doodle before getting right to the math, but I expected that.  After exploring the settings and understanding how the app worked, they began their creations.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Here’s one student’s work.  I feel like this was just the push they needed, because it made a re-teach more fun and interactive!

Animator Free Flipbook 

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

My First Flipbook with Animator Free

I have noticed several trends in my app-usage:

1)  Most of the apps I use are not content-specific to mathematics.

2) Most of the apps I use are because techchef4u Lisa Johnson introduced them to me.

The Animator Free app is no exception!  Lisa showed me this app and gave me the inspiration to create cartoons or “flipbooks” for multi-step math topics.  I’ll admit – during my days as a math student, I would make little stick-figure drawings in the bottom-right-hand corner of every page of every notebook.  When I needed to entertain myself, I would just flip through the pages and watch my stick-figure do somersaults and all sorts of amazing tricks.  How neat that an app can simulate this idea on a grander scale, and cartoons can apply to content!

So, here’s my first flip book!  The end is somewhat anti-climactic, since I didn’t realize I had a 30-page flip book limit!  Watch to see what I’m talking about 😉

Inequalities Flipbook

Posted in Algebra 1, Pre-Algebra | Tagged , , , , | 2 Comments

QR Fun – After-School Project With My Son!

1) Created a QR code linking to a text message using QR Stuff.

2) Printed the code and determined the scale – how many Lego units did we need?

3) Built the QR code such that the code was a 21-by-21 square in Lego units

4) Crossed our fingers

5) Scanned the code using Qrafter… and it worked!

 

6) Went to the Lego store to buy a LOT more 1-by-1 Legos for future projects!

We have QR fever! 😉

Posted in Algebra 1, Pre-Algebra | Tagged , , , | Leave a comment

Socrative and My Students Have a Love/Hate Relationship

I adore this app, and all that it stands for.  Instant feedback.  Instant color-coded data.  Extremely user-friendly interface for the teacher.

My students, however, are not so quick to rave about Socrative these days.

When Socrative was *only* about data to inform instruction, and was *not* about accountability that goes in the grade book, students raved about this app.  Now that their performance on my weekly 3-question Socrative warm-up quiz counts for a grade, some students have changed their tune.

“I accidentally hit the wrong answer choice!”

“I wish this app let me go back to revisit a question!”

These are the cries of my students… and I think they have some valid points.  Am I asking too much, or would my students’ suggestions make Socrative a better tool for the masses?  Am I misusing Socrative?  Is this tool *only* meant for formative assessment that “doesn’t count”?

Next week, my warm-ups quiz will be given through our online gradebook program, called Skyward.  I can still present a quick online multiple-choice quiz to my students to take on their iPads, but they can scan their answers and press “submit” when finished.  As a matter of fact, students’ grades will be automatically entered into my electronic grade book (though this is not my priority in using an online assessment tool – I want what’s best for my students).  I hope this will allay some of my students’ frustration.  Now we’ll see whether the issue is “I hit the wrong choice by mistake” or “I should have studied”!

Socrative Big Wigs, if you are reading this, can you let me know if there are ways to revisit questions, or undo the dreaded I-hit-the-wrong-answer-choice complaint?  (After all, it is easy to do this on a very touch-sensitive iPad screen.)  Thank you, and I know my students would thank you as well.  😉

Posted in Algebra 1, Pre-Algebra | Tagged , , , | 11 Comments

Simple But Good: Use a Keynote Slide To Annotate and “Zoom”!

Some days, simple is good.  Today was one of those days.

My pre-algebra students have been learning about perfect squares and square roots.  After a quick perfect squares quiz today, I had a partial class period left to do a lesson on estimating square roots.  This is not typically a favorite topic of middle schoolers.  However, with iPads nearby, I tried a substitution tactic that worked well.

I chose a few examples, but placed them on a Keynote slide for some variety.  The Keynote template I chose had a dark background, and as far as I know, no equation editor allows a font color other than black.  So, I inserted a few “call-outs” with white backgrounds to house the square roots.  Next I needed an application problem – a problem about a square window?  No problem – found an image of a square window and added that to the mix.  Voila – examples we would have done anyway, on a pretty slide that we can annotate.  Saved as a PDF, whipped up a QR code, and I was on my way.

Students zapped the QR code and opened the slide in their iPad annotating app of choice (mine seems to be neu.annotate+ lately).  I guided students through each example, zooming in so that only the problem at hand could be seen.  We zoomed in and out of each “appetizer” problem, which really helped students focus as we tried the examples, then zoomed out to see the fruits of our labor.  Simple, but cool.

For the “main course” problem, some students chose to annotate the PDF by writing on the window.  Some of them actually used the squares in the window pic to organize their decimal multiplication work, which I thought was pretty neat.  Others chose to solve the trial-and-error problems in their notebooks,  All in all, I think this was a simple yet effective way to engage students, and annotate a PDF that wasn’t your typical “worksheet”.  The “zooming” in and out that the iPad allows is priceless – focus on what you need, block out the stuff you don’t.  Zoom in to each example later when you revisit the notes you took.  Simple things that can only be done with an iPad!

I had a visitor during today’s lesson – check out TechChef4u Lisa Johnson’s take on what she calls my “DIY Prezi” – Clever!

 

 

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

Pretty Pythagorean QR Code Thanks to Unitag

I have been using QR codes quite a bit in my math classes.  I like to use them primarily as a “refresh button” strategy to get all of those brains out of the middle-of-the-lesson muck.  Using QR codes refreshes brains and gets everyone engaged and curious.  I can’t get enough of these goofy things, and neither can my students!

By the end of this week, my pre-algebra classes will be applying the Pythagorean Theorem to problem-solving situations.  For some in-class guided practice, I whipped up a quick PDF template for students to annotate, and used Unitag, my new favorite QR code generator, to help students access the PDF file.  Since most of the tasks I’ve been using with QR codes are quick in-class instructional experiences, I haven’t yet delved into the world of workflow and file management – we just keep zappin’ these codes – so I am creating and accumulating a LOT of them.  Thankful that Unitag allows me to place a “logo” in the QR code, so I can see what the code entails at a glance, and so can my students!  Check this one out, and feel free to zap it so you can see the PDF too.

Posted in Algebra 1, Pre-Algebra | Tagged , , , , , | 5 Comments

Revamping a Writing Strategy… for Math!

Several years ago, I attended a workshop with an attention-grabbing opening activity. The presenter posed a simple question, then each of us was to write a response to the question for 2 minutes.  After 2 minutes, we passed our papers to the left, allowing peers to comment on each of our initial reflections, as we had the chance to comment on another’s paper.  We did this “paper pass” around the table once more, then received our own papers back to review the comments that had been added.

At the moment, I don’t remember what the workshop opening question was about, nor do I remember what the workshop was about – I was too busy thinking about how I could apply a similar strategy to my mathematics classroom!

This “write-around” strategy seemed to lend itself well to any mathematics topic that requires multiple steps, so adapting it to multi-step equations seemed to fit.  I’ve structured the activity for groups of 4-5 students.  Each student starts the activity with a different problem, then only solves the next step of the problem and signs his/her name next to the work done.  Papers pass to the left, then students analyze a new problem, as well as a peer’s work thus far, adding only the next step to the work.  If a student disagrees with the work as papers pass, he or she must consult with the “author” of the incorrect step, so the goof is corrected by the one who made the mistake.  Papers pass until all problems are solved and checked.

Sometimes, I have used the “write-around” as a formative assessment, having students present problems to the class using the document camera.  Other times, I tell students ahead of time that I will randomly grade one specific problem sheet from the activity.  I love the “write-around” strategy for the communication that happens as students solve the problems, as well as the complete ownership the entire group has over each problem sheet, since every student’s name is signed next to several steps of work.  The strategy is easily adaptable for any multi-step mathematics topic.  Here are the topics for which I have already created resources – check them out!

Solving Equations With Variables on Both Sides

Solving Equations by Combining Like Terms

Solving Equations Containing Fractions and Decimals

Solving Equations Using the Distributive Property

 

Posted in Algebra 1, Pre-Algebra | Tagged , , , , , | 2 Comments