Great Math Products!

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Multiplication Tricks

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Doubles

TwoFingers copy

Telling Time Misconceptions

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Equivalent Fractions

EquivalentFractionsPatternBlocks

Simplifying Fractions

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FractionsWBaseTen

Clock Fractions

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Math Fact Motivation

MathWarsTrophies

Bulletin Board Ideas

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Classroom Management

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Lines and Angles

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I get the cutest handwriting fonts at Fonts for Peas! kevinandamanda.com/fonts

Support Kids and Enjoy Christmas Music at the Same Time!

I know I can usually be found stooping over the $5 bin of Christmas music in Wal-Mart this time of year because nothing brings the feeling of Christmas around more than Christmas music!!  Because of this I want to share with you some beautiful Christmas music that a friend of mine wrote.  All of the songs are ABSOLUTELY, breathtakingly, beautiful!  They have the sound of the Transiberian Orchestra!  The whole album is only $5.99, and it was just released today–December 1–to download on iTunes!!  The special part about the album is that half of the proceeds are given to charity–St. Jude’s Children’s Research Hospital, Arkansas Children’s Hospital if you purchase the album through iTunes .  That means that you are giving sick children $3 and really only paying $3 for the music itself.  Below is a video about why the writer is giving half of the profits to charity.   I’ve already downloaded mine!!  🙂

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How In the World Do You Teach Rectangular Arrays and Division in 4th Grade?

Well, with large numbers this is something that my fellow colleagues  did not feel comfortable teaching.  And when that happens…who steps in??  None other than The Mathemagician…ta-da!  (which is me of course, but shhh don’t tell anyone!!)…I’ve been off for a few days as I write this, which makes me a little sillier than normal–and probably slightly more interesting! So, on with my lesson!  Now just remember when I post these pictures it is not a beautiful, I spent weeks preparing, colorful, lesson.  This is a practical lesson anyone could use whether you are savvy with a computer or not.  (I may turn this lesson into something more aesthetically pleasing later on.) The part that stumped the teachers was the fact that the standard says “up to 4-digit dividends”.

CCSS.Math.Content.4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

I had to think myself about how to teach this before I spouted off a lesson idea.  (I know I am supposed to be the math expert in my building, but, honestly, I have to look up what exactly common core is expecting before I assume I know what a standard is asking students to do.)  I looked at North Carolina Unpacked–my go to document for what common core expects…

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North Carolina shows arrays being broken into smaller arrays similar to ladder division.  Since these students had already been studying ladder division, I thought that they would have an easy time relating arrays to ladder division.  After reading the North Carolina document, I decided to create a large array with base ten blocks and have students find the missing side, but then I realized that students would just count the missing side.  I needed something better, but what?  Then I thought about a training I had been to which had arrays with part of one side covered up.  Students had to figure out a missing side .  However, these type of lessons  were for double digit numbers.
Here is what I decided to do to push students towards solving arrays with large dividends.  I used cm grid paper and cut out different sized arrays.  I cut out a very small one at first to use for modeling and discussion.     I told the kids that the principal had asked me to set up the auditorium with chairs for the 5th grade graduation.  Each cm square represents a chair.  Then I explained that I had spilled coffee all over my seating plans, and I didn’t know what I was going to do.  I told them I needed their help to figure out how many rows there were so I could recreate my plans.
I started  with this one.  Students had no problems figuring out the missing dimension in this array since they knew their facts.Array1
All I did to accomplish this spill effect was to cut out pieces of colored paper in blob shapes and tape them to the array before setting it on the copier.  In this case, the large blob was actually red, but it printed out black on the copier.
Then I showed an array that was larger with a 3-digit dividend.  This array actually had a blob on it, too, but I removed it so that we could discuss different students’ thinking after students figured out the missing dimension.  The blue marker shows my recording of the students’ thinking.
Array2
Then I gave students a much larger array to figure out a missing dimension on their own.  Several students tried to count how many squares there were underneath the coffee spill instead of using more efficient methods.  As you can see, this student drew lines on top of the blob to figure out how many rows there were.  She arrived at 22 rows.  (there were 24)
LargeArray3
This paper above although wrong, was a valuable piece of thinking to tie everyone else’s work together at the end when I had students share because it was so basic.  ( I typically don’t write on students’  work, but since the students were a bit shy about sharing  I asked her if I could write on the work to help other kids make connections.)
LargeArray1.
The array above shows a student who is thinking of each row as a group of 12.  Rather than multiply he chose to add 12 repeatedly.  He realized that 12×12 made 144 and that adding 144 twice would give him 288.  Even though this student is oh so close he isn’t explicitly saying that there were 24 rows of 12 chairs.
I’m still looking for someone who is thinking with groups of 10 so that I can relate this to the ladder method for division.LargeArray2
Here is yet another student who is thinking in multiplication with equal rows.  Surprisingly to me, the students are more comfortable with 12×12=144 than thinking with groups of 10 to break off parts of the array.  The above students is a GT (gifted) student and he had 144 + 144 on his paper for the longest time because he recognized the relationship among 288 and 144.  However, it wasn’t until we had closing discussion that he labeled his other dimension with 24 and columns with 24’s.
Let’s pause here for a brief  teacher reflection moment by Ms. K (soft music playing)next time I prepare an activity like this, I will make sure that I cover up enough rows so that the only rows that show are a group of 10 rows.  This will hopefully push students towards thinking about ladder division.
Ok, finally, someone who thought about the ladder method for division!!!!!!!!! (picture me running through a grassy field to meet this paper).  This student’s paper will let me tie all the other students’ papers together in closing discussion and to relate arrays to everything that the class has been discussing for weeks!!!! (woooooohoooo!)
LargeArray5
This lesson went successfully.  Now for the next lesson, I plan on giving the students another large 3 digit dividend array that is covered after row 10.   After this the next steps are giving students 4 digit dividends and/or rectangles with no lines.
Just so you know…one of the kids asked me if I really did spill coffee on the seating plans.  (so cute) I said, “What do you think?” 🙂

I’m So Excited to Announce a Sale on Cyber Monday!

SaleCyberMondayAre you making your list?  Are you checking it twice?  Your WISH LIST, that is, for the Cyber Monday and Bonus Tuesday SALE!  Everything in my store will be 28% off!  Scoop up all of those items you know you will be needing soon!

CyberMondayTpT

Happy shopping!

The Teacher in Me Had to Share This!

So , I was out walking my dog and I just happened to notice this clump of straw on the ground in my yard. My curiosity made me stoop down and pick it up. To my surprise, I found a bird nest!!!! I’ve seen bird nests before, but somehow I’m always amazed at the work that a little bird did making such a sturdy structure. The nest was soft like a bed on the inside but the nest walls had mud packed in to the sides to help strengthen it. More coarse grassy materials were on the outside. Birds–little engineers! Yep…nothing mathematical to share at all here except there were 0 eggs in the nest. Needless to say I brought this to school to share with a teacher who could use it in her science lesson. Just the secrecy of what was in the cardboard box I carried around on the way to delivery caused plenty of kid curiosity.

Try This to Promote Fact Fluency at Your School!

Reflex Math…I LOVE IT!  Kids LOVE it!  In case you aren’t familiar with Reflex, it is a computer program that web based and helps students learn their math facts.  The computer program is like a video game so it is very engaging to kids.  I wrote more about Reflex math here.  I am always trying to think of ways to encourage students to be a little more competitive about learning their facts, so I  host a contest every quarter.  We just finished our first Reflex contest a few weeks ago.  While the contest was going on, I created a bulletin board with the students who were in 1st, 2nd, and 3rd place weekly.  I also announced these students every week.  When the contest was over, I posted the students photographs on the bulletin board with their names.

Reflex Contest

I also posted the students’ fluency certificates on the wall beside the bulletin board.

Fluency Certificates

When students earn a certificate, they get to pick out a prize.  A teacher at my school met one of the representatives from Reflex at a conference this summer and the representative gave her lots of free prizes.  The kids especially love the fake tattoos.

reflexprizes

In case you don’t have Reflex at your school and you would like to try it out, they offer grants to teachers to try it out for free for 12 months.

Counting by 1’s and Counting by 10’s Freebie!

This week, I was helping our kindergarten teachers gather some resources to teach counting by 1’s and counting by 10’s.  I made these simple blank number charts that the kids could use with unifix cubes when counting.  Because the vertical lines on the number chart for counting by 10’s are missing, this prompts students to group their blocks into a stick of ten for counting groups of ten.  The squares are ¾ of an inch so they fit exactly with a snap cube or unifix cube.  The counting by 10’s mat is made to fix ten unifix cubes exactly as well.

I am sharing these sheets for counting by 1’s and counting by 10’s with you (freebies)

counting by 1's mat

counting by 1’s mat

 

Counting by 10's

Counting by 10’s

Click here for the Counting By 1’s and Counting By 10’s Mat

 

 

Save Time Teaching Time! (and two freebies!)

I have to share what I have been working on with you all!  I have been working at home on this for months.  I finally finished my Telling Clock Time Lesson Plans and Activities Unit!  I’ve been putting together all of the lessons I have used to teach time that have been tried by the fire of struggling learners.  I will have to say by far it is the best thing I have posted on Teachers Pay Teachers yet!  This is definitely the product for you if you are busy and teaching 2nd or 3rd graders about time.

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Many of the lessons have links to videos or book suggestions…

Lesson Plan Time Unit

There are 3 differentiated levels of small time booklets for students to fill out.  There are lots of other differentiated lessons, too!

Clock Booklet

To teach elapsed time, there are directions for building a linear clock.  You can read more about the linear clock here.
LinearClock

There are card sorts, games, and center activities.  This card sort is a freebie!

A.M. P.M. Card Sort

AM PM Sort Blog Freebie

There are suggestions of ways to teach that will help steer students away from misconceptions about clock time.  

MIsconceptions

And there are clock labels for your classroom clock…

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Clock Labels Freebie

And so much more!

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TimePreview3

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And that’s not even all that’s included!

You can find out more about the time unit here.

I am putting this unit on sale for two days–Monday, November 11th through Tuesday, November 12th–at half price…so scoop it up while the sale lasts!

 

You Can Use This Cute Bulletin Board Idea to Recognize Achieving Students

Every year we recognize students who scored proficient or above on our state test.  We think of a theme and build a wall around it.  Our principal usually is the one who decides on a phrase for the year.  This year she coined the phrase “Ignite and Inspire (our school’s name) is on Fire”.  I really can’t take credit for all the decoration because several people were involved in the whole project.

If you have been following my blog for long you will remember our Olympic themed bulletin board from last year…well we put all that yellow, orange, and red cellophane to good use again for this year!  Oh, and the Christmas lights that we made the fire out of…yep, we used them again too, but in the rocket flame this time…see….

Then to recognize all of our kids, we took their pictures and placed them on little fireballs.

We got the glitter scrapbook paper at Hobby Lobby and our whole staff helped cut most of them.  One of our teachers freehanded the stencil for the fireball. (how talented!)

Here is an up close view of a fireball…this one turned out lopsided.  I’m not sure why I chose to take a close up of it????

Finally the hallway view…

How Can You Use Real Life to Teach Estimation?

Since some of our students are struggling with estimation, I’m thinking of bringing in a few pictures, that might help put estimation in perspective.  While out today at the grocery store, I came across estimation.

The sign said, “About 15 items.”

Oh, my gosh!  What does that mean?  I have 21 items in my cart!  Can I still go through the line?  The cashier looks haggardly and tired.  Is 15 about 20?  Is 21 about 20?

I think I will be okay going through the line with 21 items and without a fuss :).  Smooth sailing!

Then I found estimation again on a can of almonds.

The can displayed, “About 28 nuts.”

I’m on a diet.  Does that mean I can have 45 for the same calories?  No, I don’t think so.  I think that 45 is close to 50.  I know that 25  doubled would be about 50 and 28 is close to 25.  What about 30?  Would 30 be about 28?  Yes, 28 is only 2 away from 30.  I think I could have about 30 nuts for the same amount of calories!

I’m on a diet to teach estimation!

Having conversations like this reasoning about numbers will be my plan for this week!

3 Ways to Check a Subtraction Problem

Here are 3 ways we are teaching the kids to check their subtraction problems.  First, they start out checking it with estimation to see if their answer is reasonable.  Next, they can check their regrouping if it is a regrouping problem by adding their regrouping numbers back together to make sure it equals up to the minuend (the top number in a subtraction problem).  Finally they can check their accuracy by using the inverse operation of addition and subtraction.  They can add the difference to the subtrahend (the number on the bottom of the problem).  I remember this because of a sub-marine is on the bottom like a subtrahend. Sub means under.  See the ways kids can check this below.  Hmmmm…could be a great anchor chart!! 🙂

3 Ways to Check a Subtraction Problem

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