Showing posts with label Number Lines. Show all posts
Showing posts with label Number Lines. Show all posts

Monday, October 6, 2014

Counting In the Primary Classroom Post #1: How to Support Counting in the Classroom


Counting is something that is so simple, yet so important for primary learners! Most people (who are not teachers) don't get why counting is such an important part of math for young children, especially kindergarten. Just think about it! An entire domain is dedicated to counting and cardinality in kindergarten and both first and second grade have a standard that is dedicated to counting. 

Kindergarten Counting and Cardinality Domain

First Grade Standard

Second Grade Standard


Why is counting so important you may ask?

Let's think....

When you add, what are you doing? Putting two or more groups together to get a total. Well, if you can't count, how will you know how many are in each group?

When you subtract, what are you doing? Taking some away from a group. If you can't count, how will you know how many to take away and how many are left?

And that is just the beginning! Multiplying and dividing also depend on the ability to count. 

So if counting is this important, the question is....

How can we (teachers) support it in our classroom? I would like to share some pictures and ideas of how I support counting in my classroom. Hopefully, you will find something that you can use!

Every morning we count how many days that we have been in school. We count by both ones and tens, but you could also count by 2's or 5's.

To go along with our "how many days?" discussion, we also have Math Meeting. I began doing Math Meeting when I noticed that my students were struggling with the before and after, as well as, the counting on from a number other than one. I modeled my Math Meeting board after the PNOA (Primary Numbers Operation Assessment), which is the assessment used with OGAP (click {here} to learn more). 
**Since I took this picture, I have changed how I do the tally marks sections. Instead of tally marks for the days we have been in school, I just choose a random number for the students to tally.**

Daily Math is a quick five minute assessment that I use to see how well my students understand numbers. 
I write the number for the day on the Daily Math board and my students fill out the page below. This lets me see who is able to write both the number and number word correctly, as well as tally and represent the number in two ways (ten frame and by drawing a picture). You can grab a copy of this recording page by clicking {here}.

I also have a counting jar that will eventually be added to our daily math by the students having to count the objects in the jar to find the number of the day. Right now, they just count the objects and record the amount on a post-it as one of their station activities.

We created these anchor charts together as each number was introduced. Anchor charts for number 6 - 10 will be coming soon!

We looked at all the different ways that we can represent the numbers using Tara West's Number Sense Pack. My students also use this bulletin to help them with writing the number word for Daily Math.

I had these number anchor charts (I can't remember where I found them at the moment!) that I just loved but didn't know what to do with, so I put them on the side of my file cabinet. Throughout the day, I catch students walking by and counting the dots on the ten frames and finger tracing the numbers and number words. 



Here are the number lines that you can find in my classroom! I see students using these throughout the day to help with number writing, counting, and before & after. Number lines are such an important aspect of ANY classroom, not just primary ones. To learn about how to make a bead number line, check out my post {here}


We are constantly counting in my classroom! From counting the days in school to how many students are there for the day to people who brought lunchboxes that day, counting is a very important part of the daily routine in my classroom. I hope that you were able to take something away from this (long) blog post! I would love to hear about how you support counting in your classroom! Please comment and share so that we can all get even more great ideas!



Saturday, August 2, 2014

OGAP Training, the Bead Number Line, and a FREEBIE!

Number lines. We've all seen them. We've all used them. We all probably have at least one in our classrooms. I know I do. I have three! There are all different types of number lines that you can use.
traditional number lines

 number paths

 ten frames number lines (I guess that is what you would call them)

 All are GREAT resources to have in your classroom because there are SO many things that you can do with each one. Adding, subtracting, number identification, patterns, the list goes on and on!

This summer I attended OGAP training. OGAP is an acronym for On-Going Assessment Project. It is a project that began in Vermont and is making its way around the United States. All is it in a nutshell is a way to use formative assessment in the classroom effectively. (For more information on OGAP you can click {here}.

While at the training this summer, I learned about a new type of number line: the bead number line. 

I had heard about the bead number line previously from AMSTI training but wasn't sold on the idea until this summer when I saw everything that it can be used for. It is a MUST HAVE for any elementary grade! It is a great hands-on tool that can be easily accessible to students. It can be as long or as short as you want/need. The one that we made at the training had 100 beads. Depending on your standards though, you could do more or less. The first grade teachers that were at the training discussed putting 120 beads on their number lines because of the first grade standard of counting to 120. Great idea, right?

My thought for using this type of number line in my classroom this year is to start off with 20 beads. I want my students to become comfortable with using the bead number line without becoming overwhelmed with 100 beads. Even with only 20 beads on the line, there is so much that you can do! Here are a few ideas:
1. Have students practice one-to-one correspondence by simply counting the beads
2. Have students find the distance between two numbers (EX: Find 7. Now find 16.What is the distance between the two numbers?)
3. Skip counting (5's, 2's)
4. Compare numbers
The possibilities are endless!
Once my students are comfortable with using the 20 beads, I will increase the bead line by 10 beads until we reach 100 beads. I CAN'T wait to start using this with my new kinders!

Want to make your own?
All you need are different colored pony beads and a shoelace!

Now to make a bead number line:

The first thing that you do is tie a knot at one end of the shoe lace.


Next, begin stringing the beads, 10 at a time, alternating colors.


Once you have the number of beads that you want for your number line (20, 100, 120, etc), tie a knot at the opposite end.

After you have built your number line, you have the option of dividing your line into groups of five by simply coloring the end of every 5th bead with a black sharpie. (This step is optional, but it really makes the number more user-friendly.)


Now you have a bead number line! 


A clothespin may be used to help manipulate the number line. For example, if you were wanted your students to find the distance between two number, a clothespin could be used to mark the location of the first number.



Now because you have stuck with reading this somewhat lengthy post, I have for you a Bead Number Line FREEBIE!
Click on the picture to download the Bead Number Line Task Cards. This FREE pack includes 56 different tasks that you can use to help build number sense in your students! 


I hope that you enjoyed learning about the bead number line and will consider using it with YOUR students!