Tag Archives: math

Second Grade Math Warm-Ups: 8-24 to 9-4 (2 weeks worth!)

We’re in the swing of some things in 2nd grade.  Math warm-ups are one of those things–just I’m not yet in the swing of writing about them!  Here are last few warm-ups we’ve been working on:

Monday

Even though we worked on this last year, many kiddos had a hard time with the answer to this question.  We’ve since been doing many things (games, two-pen tests, conversations) to help us remember (or learn!) our doubles, near doubles and combos of 10.  They all form the basis for the bigger things we’ll do with numbers later on.

IMG_5294Tuesday

While I’m not entirely sure about the order of these next few warm-ups, the concept that is highlighted in them all is certain–the importance of place value.  Here was another that many had a hard time with.  Most of their answers were “I don’t know yet...”

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Wednesday

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Thursday

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This one was an easy connection to the essential question (EQ) I had asked earlier.  They had to think about place value to answer this one, knowing which numbers to add to each other.

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Although not related to place value, this warm-up was related to a conversation we had had in math workshop the day before, and is definitely something all 2nd graders need to know how to do–tell time!  Often I will spiral older concepts into math warm-ups to keep them on the front of our minds!

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Thursday

This warm-up, although badly worded, gave kiddos a little peek into a task I would have them do later that day in math workshop.  The question was really about the most efficient way to count a big ‘ole stack of something, which they’d have to do with a pile of popsicle sticks in a group that afternoon. I was happy to see how many of them were already thinking about bundling into 10s and 20s (rather than counting them all by 1s).

IMG_5303Friday

The warm-up on Friday was actually the end of the lesson from Thursday, and mathematicians completed their thinking with their learning partner in their math journal, which is different from how they MWU normally works.  I love how we can adapt this structure to work for our needs!  Since many of us have been doing this for a whole year now, it was easy to make that little tweak and still have them know what to do.  In this warm-up, kiddos were asked to model the counting we had done together the day before.

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Second Grade Math Warm-Ups: 8-18 to 8-21

When I first started using math warm-ups a couple of years ago, I had no idea how useful they would end up being in my classroom.  They are quick, easy and definitely give me a bank for the buck.  So of course I am using them again now that my mathematicians are second graders!  Here is how we got started this year:

Wednesday

I waited until the second day of second grade to start, and since we spent all last year doing this, most of my friends knew exactly what to do.  I just had to introduce my new friends (there are 4 of them) to this routine.  I started with a question everyone could answer (and if I remember correctly, it’s one of the first problems we did last year, too).

Screen Shot 2015-08-23 at 2.49.46 PMFriday

As I think about how we’re getting started in Math this year, our focus will be on making sure we have a firm foundation of basic skills and facts before we move on to other things.  That means we’re going to review combinations that make 10, doubles, doubles +/- 1 and basic addition/subtraction facts.  Hence the next question:

Screen Shot 2015-08-23 at 2.50.00 PMNote that I had to revise my question, since kiddos wrote 1 combination and thought they were finished.  I drew the visual of the 10s “rainbow” as we discussed the problem, and it was good to hear a couple of friends say, “Oh, now I get it!”  Like me (who is a visual learner), seeing how those numbers connect is important to their understanding.  This is definitely become an anchor chart in our classroom!

Getting Started with Math: How Much is Your Name Worth?

In the first days of school, our goals are both that kids get into subjects as well as that they build relationships with each other (just like last year!).  One of our first forays into math this year was with a challenge about names.

The original activity was called “How Much is Your Name Worth?” and was all about how each letter of your name is worth a certain amount (i.e. a=1, b=2, c=3, etc.).  While it was definitely a math challenge for some (we might have forgotten how to add over the summer!! LOL), it was also a reminder of how sometimes things are harder than we thought and we need to work through the tough parts.

For me, it was also an invitation to revisit the activity I was asking them to do and change what was tricky.  Not because I wanted to make it easier, but because we realized that the directions on the first try were really confusing.  Some were stuck with what to do, not how to do it.  So I made a new sheet, and also invited a new question to the challenge that they could attempt with a partner (which added another level to the activity).  Their new question was:

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The other thing that happened here was watching kids as they solved the problem of who’s name was most expensive by thinking about both the length of the names, and which letters were included.  There were resources everywhere that could help them if they knew they were there: the lunch sheet, our checkoff grids, the word wall, the helper chart, our mailboxes, our cubbies–the list went on and on!

In the end we didn’t really ask the question of who’s name was most expensive, but we all got our math brains moving, solved some problems together and worked with our friends!  That’s a great start in my book!

Getting Started in Second Grade

Wahoo!  We’re finally getting started!  I spent some time getting ready, and it was fun to stop getting ready and finally get started!  And since we’re looping, it has definitely been fun doing just that.  I was looking back at the beginning of the year from last year to see what I had written about, and MAN–our kiddos were BABIES!!  You should take a look and see how much all those munchkins have grown since last fall.

As is usual fashion for me here on 20somethingkids, I have TONS of stories to tell you!  I am making a list of it all here, partly to help me make sure I get it all in, but also just in case you want a place to land to find it all.  Once I add the post, I’ll link to it on this page and you can easily find it again.  Ok, here we go!!

Over the last few weeks, we have done so many things!:

Marshmallow Challenge: Second Grade Style
Getting Started with Reading: Reading museum
Getting Started with Writing: Tiny Notebooks

Tiny Notebooks: Sharing

Self-Portraits
Appleletters
Reflection with plusses and deltas
2nd Day of 2nd Grade Selfies
Getting Started with Math: How Much is Your Name Worth?
Weak side/Strong side
Anchors of Learning
Math Warm-ups 8-18 to 8-2

…yet

I Hope You Make Mistakes

I know there were many things crammed into those first days together, but when I see it all in a list, I’m still amazed.  Let’s get into it!

Things I Learned on My Summer Vacation

Summer is one of my favorite times of year.  I love being able to sleep in and stay up late.  I LOVE traveling and exploring new places (or revisiting old, favorite places for the 20th time hee hee).  Most of all, I love the time to be able to read, write, learn and really digest new things that I don’t have time to attend to during the busyness of the school year.  I thought I’d share some of that learning I’ve been doing.  First up–math! You probably don’t know about this fabulous place in NYC called Mathematics in the City.  And if that is true, then you also don’t know about the amazing teacher leader/trainer/consultant/math guru named Kara Imm.  Man, I’m sorry for you, and want you to book a flight right now.  Seriously it’s worth every penny.  It’s ok.  I’ll wait. 🙂 So, anyway, my experiences with Kara go back to a couple of years ago when she first came to Kirkwood to help us learn more about fractions.  Yes, I survived.  I learned alot and I even had some fun along the way.  I definitely began to understand fractions in a way that I know I didn’t when I was in school.  That new understanding really helped me as I then taught my 5th graders (at the time) to truly understand fractions and what they mean, not just how to do an algorithm or figure out a formula.  She then came back a year or so later and helped us through a lesson study–again with fractions–and we learned a little more. Well, fast-forward to today (a couple of years later), and we were lucky to have Kara back AGAIN.  This time she worked with our whole staff, around many math topics, and helped us all bond as we figured out how to best help kids understand mathematics.  One thing I love about the way Kara presents is that there is ALWAYS some teacher-doing-math time.  I never did that kind of thing until I went to a writer’s workshop presentation many years ago and they had me write (which I thought was totally weird).  From that first moment, I totally got how important it is, though, for teachers to feel the same struggles and frustrations as their students go through.  We got to work through many hard investigations and work through them the way our kids would.  It was really interesting that for many of us, these problems were made harder than they needed to be, though, because of the way WE learned fractions.  Like I mentioned before, I wasn’t taught the WHY but just the HOW, which in many ways is not the easiest or most efficient/effective way to solve the problem.  So, giving this same investigation to 5th graders who don’t have a UNLEARN many inefficient strategies isn’t really that bad.  Our kids are not so confused and frustrated as we are. We did two big problems: one called Muffles’ Truffles (which involved early multiplication) and another with a scenario about Frank, a farmer, and how far he drives.  It’s a problem that involves a gas tank and figuring out (with fractions) if Frank has enough to get him where he’s supposed to go.  While there’s not really any way to truly understand the scale of our conversations and they work we did without being there, here are some notes that my partner and I used to draft our thinking.  There’s also a picture of the chart we made for our Math Congress (which is a topic I haven’t written much about but TOTALLY should!), which was a way to consolidate and present our final draft to the other mathematicians. IMG_489911694842_10204737906631950_6188272882800941260_n

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 We talked multiplication and we talked fractions, we talked Math Congress (nope, haven’t written about it yet…), and we also discussed the topic of basic facts.  This is a hot topic in math these days (and for a while, really), and for many years we’ve responded with daily kill-and-drill activities, timed “mad minutes,” and crazy stressing out on memorizing lots and lots of facts.  Kara brought some info related to how important it is to respond in a different way.

For many people (including teachers, parents and students), being QUICK is best.  But we were reminded that being quick doesn’t equal being mathematically PROFICIENT, which should really be our goal.  She gave us information on how facts DEVELOP, they don’t come first.  She also helped us see that the facts (in this case we focused on multiplication tables) are not random (which is how many kiddos see them, saying “there must be 100s and 100s to learn!”), but are connected.   Seeing those connections and building on the RELATIONSHIPS between facts is how to both LEARN them and UNDERSTAND them rather than just MEMORIZE them.  For many this was mind-blowing, and for others it was validation of what we already knew to be true.  For sure, though, it was nice to be “allowed” to deal with learning facts in a different way going forward.

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My notes from Day 1 of our Math Institute.

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More notes from Day 1. It seems I was so busy DOING math on Day 2 that I didn’t write anything down!

One more important topic of discussion (and of course we experienced them, too!) was number strings.  In short, these are a related set of problems that kiddos use mental math to solve.  Practice is done regularly (maybe even every day), and these help mathematicians become more flexible as well as see the relationships and connections mentioned earlier.  I’ll write more about this next part later (yeah, like I said I would with Math Congresses), but one way we learned to assess newly gained knowledge is to use a two-pen test.  Yep, it’s just what it sounds like: a test you take with two different pens.  The first one is a timed portion to see what kiddos know how to do quickly, and then the second pen is used to finish the rest of the page, with whatever time frame is needed.  Teachers can get all kinds of useful information about what facts kids know and which ones they still need to work on.  Genius.  We will definitely be trying these out in 2nd grade this year!

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Whew.  That was a lot.  I know I tend to be long-winded, so if you hung in this long I TOTALLY appreciate you.  🙂

Now I ask you–what did you learn on your summer vacation?

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See? Minds blowing!

First Grade Math Warm-Ups: Week of May 4-May 8, 2015

I had thoughts all last week of how I couldn’t wait until the Warm-Ups post to brag on the awesomeness that happened, but alas, I guess I saved it anyway….so get ready, this is definitely NOT first grade math happening here, people!

We had three problems this week, and they were all in the same vein–2-digit subtraction where kiddos were asked to try ALL 4 STRATEGIES we’ve worked on in our class this year.  And they were up to the challenge, even though it had been a while since we’d worked on subtraction.  I was SUPER impressed, and I think they were, too!

The benchmark in 1st grade says that only have to be able to subtract to 20, but since we were doing addition to 100, we went ahead and followed along with subtraction as well (why stop them if they can go farther??).  They also only had to be able to do it in 2 ways, but again, I think it’s good to be flexible with strategy and begin (even as a first grader) to learn which strategy is best for the numbers.  In this case we used each strategy each time, but talked about which ones made the most sense.  Let me show you the part we were most proud of:

IMG_3072I don’t know if you can tell, but that’s not an ordinary 2-digit subtraction problem.  Nope–it’s one that will need to use what we used to called regrouping but that honestly now we don’t really call anything.  It’s just what you do to make the problem work!  Please also notice that there’s no “stacking” or traditional algorithms here and these littles can still figure out the solution.  Nice, right?  I know some wouldn’t believe it’s possible….:)

My favorite part is when we started with sticks and dots, and we realized that we couldn’t do what the numbers told us to do–we couldn’t take 7 dots away from the 5 we had drawn.  Millie noticed it right away and then we had a great conversation about what we could do about that.  Makayla suggested that actually there were 10 dots inside each of the sticks we drew (how’s that place value work for ya?). We decided if we crossed off that last stick (which represents a 10) and added those 10 dots instead to the dots already there, then we could do it.  We ended up with 15 dots (ones) that we could take 7 away from.  We used the double-minus-1 problem of 14-7 is 7 so 15-7 is 8 to get that part of our answer.

Then, when we tried to do the same problem with splitting, we ran into the same problem–we didn’t enough to do that part of our problem.  Since we had just done it, we knew we could try it again, and moved the 10 from our 90 to make 80 and then the 5 became 15.  Voila!  It all worked out. 🙂

This is some pretty amazing stuff, and I’m impressed to hear both their fearlessness and pride when they figure out what to do.  I also love how differently 1st graders seem to tackle problems like this that are hard, or challenging, or that don’t at first seem like they’ll work–they just jump in and try something and see what happens.  They haven’t yet learned that they can’t do it, they aren’t worried about whether or not they make a mistake, they know they have many tools in their toolboxes that they can use till they figure it out.  I hope to be able to encourage this kind of approach to problem solving as I work with them again next year—crossing my fingers that I can help them keep that mindset for longer than maybe they would have…there’s hope at least. 🙂

First Grade Math Warm-Ups: Week of April 27-May 1, 2015

It seems that the later we get into the year (or maybe it’s just that we’re at the end of a math unit), the less interesting our warm-ups are.  I mean I guess they’re not for entertainment, but I guess I’d like for them to be fun and motivating.  We’ll see how well we did with that this week…

Monday

Guess we didn’t have a one on Monday.  Must have been a busy morning (is it bad that I can’t remember back to LAST WEEK?)

Tuesday

We continued on with data here…

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And then I showed how I would represent this data and we discussed what we learned from it, as well as other options for showing what the data tells:

IMG_4507Wednesday

Besides giving us practice with adding (and with bigger number!), and reminding us of some math vocabulary, this equation held some significance for our class.  Only I can’t tell you what it is until after Monday morning….sorry. 😦

IMG_4506Thursday

We had a fabulous field trip first thing on Thursday, so no math warm-up.

Friday

I think I’ve mentioned before, but one thing I love about how we do math warm-ups is when kids start to apply things you’ve learned (or are learning) during the unit to their work here.  For this one, I mean that someone thought we should have a t-chart to help us organize our thinking and our data.  It’s super easy to see that most kids in our class are 7.  🙂

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First Grade Math-Warm Ups: Week of April 20-23, 2015

This was a short week with only 4 school days anyhow, and I was gone for one of those, so only 2 warm-ups this week, friends.  Still working on data collection….

Monday

The warm-up for this morning directly tied to our work in Math, as it was the basis for a formative assessment.  We had been working on collecting, organizing and analyzing data for many days in whole group and partner situations, and it was time to try it on their own.  It’s hard to see, but there are names signed on each side of the t-chart.  We skipped the post-its on this day to make sure the data didn’t change before we could analyze it (we do this EARLY in the day and hours pass before we talk about it).

IMG_4469Tuesday, Wednesday and Thursday

Ok, so we really didn’t spend 3 days doing this one, but with a strange week, we did it on Tuesday morning, but didn’t have a chance to discuss it until Thursday afternoon.  The conversation we had around the analysis is documented on the sheet; the post-its were how we “voted.”  This is good stuff here. 🙂

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First Grade Math Warm-Ups: Week of April 13-17, 2015

Just like the focus several weeks ago was Walker’s Club, and last week’s were about data, these are data-focused as well.

Tuesday

This one was kind of a freebie, but was supposed to get kiddos ready for the work we’d do later on in the day (which really is the focus of how the Math Warm-Ups are meant to work anyway. 🙂 ).

IMG_4454 Wednesday

The warm-up on Wednesday was a little different from previous ones lately, whereas instead of them collecting the data, kids were asked to analyze the data and tell what they have learned from the data I’ve given them.

IMG_4453 Thursday

This one’s all about the chart Mrs. Appelbaum shared with us about the many ways we can represent the data we collect (which is exactly what kiddos would be doing later in the day!).  This one got them thinking early in the day, and also served as the introduction to our math lesson.

IMG_4452  Friday

This one, you can tell, is not about data (directly), but IS about Walker’s Club laps and is a SUPER HARD one for first graders (our benchmark for addition is 2-digit numbers up to 100).  But you know what?  They TOTALLY KNEW WHAT TO DO!!  Those strategies we learned and used for 2-digit numbers?  They work for hundreds, too!  Way to go, Rm. 202 kiddos.  But you know what? I’m not surprised.  You’re pretty much always awesome. 🙂

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Picture of the Day–April 20, 2015

Boo.  I only have 1 picture today, and it’s not even really from today (I know, I could have not told you that and you’d never have known.  Oops.), but it works for today as well as it did for Friday.  I was going to use it in a Walker’s Club update, and also for Math Warm-Up post, but alas I CAN’T GET THE PICTURES I NEED OUT OF MY PHONE!!  I am not someone who curses or hits things, so I might spit.  Or frown alot.  Or just say, “THIS IS SO STUPID!!”  But then that wouldn’t help anything, so I’ll stop throwing a fit and just show you my picture.  The one picture that DID upload from my uncooperative phone:

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I hope you can see that not only did some super great kids in our class use our numbers to make 10s again, but our total for just Thursday was 70 (our best single day so far), our weekly total was 124 (our best weekly total so far!) and our grand total is 351, which is THE LEAD FOR FIRST GRADE IN OUR COMPETITION!  Oh, and you probably can’t tell that I added 3 laps on this particular day which is my best total to date.  Wow–lots of best happening around here lately!  So technically this picture was not taken today, and the laps weren’t walked today, but there was an announcement on our school-wide news today announcing the standings so far.  Does that count?  Let’s say it does.  And I’ll do better with pictures tomorrow. 🙂