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Base Ten Number Line

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Multiplication Tricks

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Telling Time Misconceptions

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Simplifying Fractions

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Math Fact Motivation

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Number Concepts

Adding & Subtracting Ten(s)–1st Grade Skill or Intervention?

There are certain skills that if not learned early in math will be a detriment throughout a student’s entire math career.  Learning to add ten or subtract ten is one of these skills. In later elementary grades, if the simplistic skill of adding and subtracting ten is not learned students will struggle with other math concepts.

For these reasons, I believe that is why this product is one of the best sellers in my shop.  The skill of adding or subtracting ten is visually taught through patterns on the hundreds chart.  I have newly revised this product to include answer keys, new borders, and new fonts.  If you are looking for a product to teach your students to add or subtract ten— a skill they will need for their entire school career, look no further.

A Discovering Patterns worksheet with the hundreds chart and Mental Math Fluency Check are included in this packet for each of the following:
*Adding 10 to a One-Digit Number
*Adding 10 to Multiples of 10
*Subtracting 10 from Multiples of 10
*Adding 10 within 100
*Subtracting 10 within 100
*Adding Multiples of 10 within 100
*Subtracting Multiples of 10 within 100

Answer keys are also included.

Dress Up Your Number Line

Folks, are you feeling the need to dress up your number line, well, look no further!  Originally, I made these word cards and expanded form cards in black with white lettering to match the classroom wall number line with base ten blocks.  But by popular request, you can now get them with a white background and black lettering.  What does this mean to you?  The beauty of using these cards is that you can #1 SAVE INK and #2 USE WHATEVER BACKGROUND COLOR YOU WANT.  You are only limited by your colored paper!  I hope you can find a use for these on your classroom wall number line.  Here are the new versions on these products pictured below.

 

 

 

Use This to Help Teach Expanded Form

I know at this point in the year many of you have already taught expanded form. How do you get your students to maintain their understanding of expanded form?  You could leave a reminder up all year long which doesn’t take up much space.  Use your classroom number line, and add these special signs to your number line. Ta-da!  This is even better than an anchor chart!  You can choose from space saving triangular ones…

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or longer ones so that the numbers are easier to see from a distance.

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If you hang your number line low enough students can help add the cards to the number line, and you can print the signs on card stock.  This way students can easily attach and reattach them with velcro onto the number line (great for long term use).  Tape works fine too!

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You can use your own store bought number line, or you may enjoy using this number line especially  created  for use with these signs that includes base ten blocks already attached like shown in the instructions above.

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You can go here if you are interested in purchasing this product.

Happy counting!

Do You Have Problems with Your Students Misspelling Number Words? Try This!

“Miss _______ (insert your name here), how do you spell ________(insert your number word of choice here)?”   I always have students ask how to spell different number words, only to tell students, “The best way you can.”  Now you will never have to tell students again how to spell number words.  Simply point to your number line.  You can now have access to word cards for you number line right here:

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There are smaller triangular size cards to save space.  There are also larger/longer cards that can be seen more easily from a distance.

That’s not ALL folks!  We have a giveaway this week!  I am teaming up with Erin from A Library and Garden to offer a $50 Amazon gift card give away!  This giveaway is on until Friday, October 21, 2016 so hurry and enter below now!

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Have You Heard About this Great New Math Practice Site?

Screen Shot 2016-08-25 at 8.41.54 PMTell everyone you know about this great new free animated website iknowit.com that helps elementary kids practice math skills by playing games.  This site will remain FREE for at least the next year while improvements and more lessons are added.  Iknowit was built by the makers of Super Teacher Worksheets and Modern Chalkboard, a SMART board lesson site.

The lessons give children immediate feedback so that they know if they have answered each question correctly or incorrectly.  There are drill lessons for basic math facts–addition, subtraction, multiplication, and division.  These lessons are timed.   Then there are lessons based on progress in which students answer a certain amount of questions.  Right now the lesson topics include addition, multiplication, division, time, money, fractions, and there are many more to come!

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In the future as a teacher, you can log in and set up a class roster.  You will be able to assign lessons, monitor student scores, and track their progress.  You will also be able to adjust the number of hints children are allowed to have on each problem.  Teachers will be able to set the amount of time students practice drills and set the number of questions a student must answer for a lesson.

Because this small business was set up by teachers, they value teacher’s and student’s constructive feedback as they venture forward with improvements to this site.  You can follow them on Facebook, Instagram, or Twitter to give your input.  Just imagine a website built with your feedback in mind

Use This Strategy to Easily Multiply Large Numbers and Fractions

You know the guys who easily multiply in their head who leave you picking your jaw up off of the floor?  Well, these folks have special strategies.  I am going to teach you one of these so that you can teach your students!

FirstSlide1, let’s look at this example with fractions.  If you double ½ you get one.  Instead of going through all of the steps it takes to multiply fractions, why not simply double the fraction and multiply?  In the case of one half or any other fraction with an even denominator, this process is simple.  ½ becomes 1.  Then multiplying by 1 is super simple.

In the case of a denominator such as ¼,  in the second example, you can double the number twice and halve the other number until you find a factor that is easy to multiply.  ¼ doubled becomes ½ and ½ doubled becomes 1.  As long as the other factor is easy to halve, this works great!

This may be done with mixed numbers as well.  As long as one of the numbers is even, you can double the other.

Now let’s look at examples with whole numbers.  Again, double one factor and halve the other.  Hmmmm 6 x 24. I don’t know that in my head, but I do know that I can easily double 6 to 12 and halve 24 to 12.  Wow!  I do know 12 x 12! 144!

I will skip the next two examples (12 x15 and 25 x 16) because these are self-explanatory.

Let’s look at 6 x 32.  If we double 6 and halve 32, we get 12 x 16.  Still not an easy fact.  Ok, I will try to double and halve again, and I get 24 x 8.  Hmm, again I don’t know that one.  Let’s try another time.  We get 48 x 4.  Whew!  Still difficult.  One more time.   Ok, 96 x 2.  To solve this problem, I will use a combination of strategies.  First I know that 96 is 4 away from 100.  If I have two groups of 4 away from 100, then I know that I will be 8 away from 200 because 96 is almost 100.  If I take 8 away from 200, this gives me 192.  Teach children through number talks etc. to think flexibly about numbers and ways to solve problems.  By teaching children these strategies, you will become stronger at solving math problems in your head as well!

Is Ladder Division Causing Your Students to Struggle? Try This!

When students struggle with ladder division, many times it is because they learned a procedure and haven’t made sense of the procedure for themselves.  In this case students haven’t had enough experiences with division problems that are near friendly numbers so that they can reason about the numbers. Try giving students some problems that are near friendly numbers first if you notice that they aren’t using number sense to form partial quotients.  For example, if students continue to subtract only small groups of ten and aren’t able to estimate a larger number for partial quotients, then try giving students numbers that are easier with which to estimate, like in the picture below.  Slide1In the above picture, I started with some students in intervention who started solving the problem using groups of ten.  2499 divided by 25 is obviously close to 2500.  Why not start with 100 groups and reason about taking away one group so that the quotient isn’t too large.  When students look at how they could estimate to solve this problem, they have a lightbulb moment.  Give them other examples like this to get students in the habit of solving problems with reasoning and number sense as opposed to a procedure.

How to Intervene with Children Who Don’t Know Their Addition Facts

I have worked with children from 2nd grade on up to help them learn their addition facts.  One common denominator exists among all of these students.  That is THEY DON”T SEE PATTERNS!  I remember having a difficult time learning my 9’s facts when I was growing up.  To help myself, I just took one off of the number I was adding to 9 in the ones place.  I noticed this pattern.  No one taught me this.  When I was growing up, learning facts was like, “Ok, Class, let’s learn all our 8s facts, let’s learn all our 6s facts and so on.”  This is not effective for students who don’t recognize patterns on their own. Now with the common core mathematical practices, we should be teaching children to explore patterns through thoughtful placement of number facts to help them recognize these patterns.  Giving students opportunities to see the patterns will result in more students who are fluent in their facts.  I have shown examples of this before such as in this post about using 10s to help with adding 9s.

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But now I have actually put all of my work with struggling learners into a packet which could be used whole group for grades 1 or 2.  At the 3-5 level this could be used for students in intervention or as part of the RTI process.  Here is a look at the packet  that I have put together to help students become fluent with all of their addition math facts.  It is on TPT !

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You can also try out a little sample of this product for FREE here.

Are Your Students Adding and Subtracting 10?

Are you teaching your firsties to add ten, subtract ten, add 1 and subtract 1? The week before Christmas we added this game to one of the selections in the students’ math stations. This game is called “Bubble Gum Pop”. The kids absolutely LOVE it!!! math-7

Students move “bubble gum balls” (bingo chips) up and down the 100’s chart mat according to the spinner. The game is differentiated for students who need more of a challenge so that they can use a mat that counts to numbers past 100 or they can use a bubble gum spinner that allows them to even add or subtract multiples of up to 20.

math-6In this photo above, students are tied with both having an equal number of chips on the board.  The one who knocks the other student’s chips off the board first is the winner.  What makes this game fun is that there is an element of chance when students land on the pictures, their chips are out.  Also, the game requires children to know which direction to move on the board to add or subtract 10s and 1’s so they are learning at the same time.Screen Shot 2015-01-26 at 9.21.56 PM

Screen Shot 2015-01-26 at 9.22.11 PMThe game is also available in color.  I copied it in second grade however on colored paper, but ended up liking the black and white better because I felt the students could see the chips and numbers better on the board.  The color definitely did make the game happier though.math-1

 

What do you see? A Freebie?

I have been missing in action from my blog lately.  Hopefully this will make it up to all of you faithful followers 🙂 !  I have been working on this packet of addition fact lessons that I used with intervention groups all last year with much success.  The lower students really seemed to enjoy the thinking aspect of these lessons.  I have been working on putting this into a format that is cute enough to post.  Because I have been working on the whole packet for months, I thought I would give you a free preview sample in the meantime.  I will be posting the whole packet soon for sale.  Without further adieu, here is the Freebie!  I hope you enjoy using it!

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Thanks to Winchester Lambourne for the spooky eyes clip art!

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