Showing posts with label Math. Show all posts
Showing posts with label Math. Show all posts

Saturday, September 17, 2016

Pie Graphs!

Hey Kinder Friends,
I was excited to start the week knowing that I would be introducing pie graphs to my class. Since most of my class did not attend prek last year I was equally excited to tie these lessons to some kinder favorite books. The best part probably was that not very many children had actually heard of the books that we would be reading.
We started the week by reading about pie graphs and learning how they are used. And considering it was the beginning of the year we started off with pie graphs with small numbers which made it simple to understand. At the end of the week I wanted the children to understand that we could use a pie graph to gather information and draw conclusions from graphs. The small numbers kept this pretty simple.
I picked and old favorite to start off our pie graph fun. For the first time out the children did very good and asked a lot of questions. I had to help a lot at first as we discussed the pie graphs which I had expected. By day three they were well on their way to working to complete the pie chart on their own and they had a lot more to add to our discussion as we discussed our pie graphs.
Each day of the week the children really looked forward to the math book. Funny thing is that the books are just classic favorites that any teacher has on hand and paired with a math focus lesson on pie charts. It is fun to read to a class that hasn't heard even the most popular children's books. After 17 years I have not had that experience before. I usually hear how they have read every book I pick up in prek!
I guess it is safe to say throughout the week I read every Pete book I could get my hands on and they loved every one of them. We sang a lot too! Math was so much fun this week and we learned about pie graphs and that we could draw conclusions from them and answer questions. I know I will look forward to working on more pie graphs with larger numbers in the future.
Giddy For Graphs!

Sunday, May 1, 2016

Yep, It's Free!

Hey Kinder Friends,
With Teacher Appreciation time fast approaching I wanted to give back something to all the great teachers that inspire and help me. I was thinking a lot of getting ready for the back to school season just as the year is winding up. I was copying and laminating some ABC cards and it made me think of a number card. I have searched forever to find what I was looking for and just never found it. So I decided to finally sit down and create on for myself. I finally have what I have wanted and needed for a long time. I can't wait to print these and laminate them and put them up for next year. I know when I see them next year I will be glad I finally took the time to make it. I can already think of a few uses for it. These would be great copied on cardstock and laminated and stored in math folders. Staple one on the math wall. Copy and laminate a few to be stored in independent math boxes. And a simple black and white copy for take home folders.
And as I was working on the number card my mind was also thinking of one more simple thing I wish I had for a long time. For so many different reasons I have needed a resource for letter and number formation that the font was large enough to see the proper path of motion that the children could use with dry erase markers. I decided to sit down and create it while I was on a roll and get it ready for the back to school season. Just getting the basics ready and prepared helps to ease the pain of the stress of a new school year. The font in this product would be considered large and perfect for independent math and literacy stations or centers. And what I love is that it is simply...
Handwriting Practice Print and Go!
I just love that. And if I have a few kids that need practice with a certain letter or number I can send one home in a bag and a dry erase. Lots of possibilities for such a simple resource and the best part is that it is ready to go! Wishing you a great end of the year and looking forward to the next!



Tuesday, March 22, 2016

Decomposing Numbers!

Hey Kinder Friends,
I have to say this year in my class we are loving math. We ALL love it. And we are moving right along and reaching our goals. Before our break we were hot and heavy into decomposing numbers. We took it slow in the beginning and worked with objects and manipulative mats.
In the beginning, we all worked on decomposing the same number. We would gather together and discuss what we discovered using our mats. Our discussions usually started off like this.
A 6 (or the number we were working on) can be...
It did not take long for everyone in the class to chime in with the various combinations. Using the mats, even the reluctant participant was able to chime in to our discussion. We noticed that sometimes we decompose numbers they same way as our friends and sometimes we come up with something different. You could see the wheels turning for a few of the kids as they were trying to quickly figure out just how many ways a certain number could be decomposed.
Our whole group session ended with reading a book. I picked an old favorite from the beginning of the year so that we could read the counting book and stop along the way and chart our understanding of what we had been talking about for the last few days. I was surprised to see the combinations that they remembered from the hands-on experiences we had. The light went off for some children as they realized that when two numbers were reversed, a new combination was created and they quickly realized that zero and the number they were decomposing was also a combination too! Charting our responses and checking for understanding along with our discussions, really helped everyone see the flexibility in numbers and how numbers can be made in different ways. And before long our discussion grew to talking about a systematic way to figure out all of the combinations of a number. So we moved on to talking about strategies and how to approach answering that question. And I was thrilled to find a new way to use and look at counting books...
We moved on to working independently and working with different numbers. We used mats and recording sheets. And as the kids were finished working with their decomposing mats they were off to make math choices of their own. And what I love about my class the very most this year is that they always, always see things in different ways. I walked over to listen to a group of kids using some beginning of the year counting mats. And I was happy to hear their discussion. Just like earlier in the year they were trying to extend the use of counting mats to include greater numbers, this time they were looking at counting mats to decompose numbers.
It did not take long for us to realize that we could actually use the counting boxes this way but we needed more counters! And considering that I have one million UNIFIX cubes it was easy to help them out with that. My kids have taught me a lot this year especially about looking at things in new ways and I have to say this new approach to using counting books and counting boxes that we all have is just about my favorite!
Just think of all the possibilities!

Saturday, February 6, 2016

Problem Solving!

Hey Kinder Friends,
We have been having tons of fun in math. This year it seems to be our favorite subject and that is ok with me. I have had more fun with it too. Although there are several things to love about my class this year and too many to even list there is one thing that I especially love.
My class is a class of problem solvers! Recently when I was working with a small group I noticed that the kids had found some new counting mats I had put in our BUILD boxes. I could hear a lot of chatter and see some scrambling around so I decided to check it out. The kids were searching around the room to find all of the black UNIFIX cubes and at some point they realized that we didn't have enough for all the counting mats. Someone suggested that they start looking for white cubes so that they could finish the counting mats.
One thing lead to another and this is what they came up with. Instead of just using counting mats for counting use them for story problem mats. I just love that they came up with this twist on their own. And I love that I have tons of counting mats I can use for this already on hand. I might need more counters and dry erase markers but I am ok with that. If you have a ton of UNIFIX cubes that are not being used have the kids bag them up and get them ready to go!

Saturday, November 14, 2015

More and Less!

Hey Kinder Friends,
It is fair to say we have spent a great bit of time building a solid foundation for comparing numbers so far this year in Kindergarten. That time has been well spent as the kids have not only grasped the concept quickly but they have been able to apply that understanding to greater quantities much sooner than expected. As I was looking over their assessment data I could clearly see it was time to move my focus in other areas. The formative data also clearly showed that it was time for some of our comparing activities to move into an independent practice phase. As I was deciding on what to put in our independent boxes, I started thinking of what we already had on hand. 
Most of us have Roll a Dice games. I know I have one for every single season because kids love them and you can easily change the counting quantities by adding more dice. Considering we had so many I wanted to change the focus for these Roll a Dice games because we all can count and create quantities to 20. So we started playing our Roll a Dice games with a less, equal or more twist. 
I think my favorite part of this change has been just listening to the math talk as they play and set up the game. I can hear the children using the math vocabulary as they work and I hear it multiple times. With a simple checklist I can listen and record any misunderstandings or make any notes to consider when planning. We use game boards that require 1, 2 or 3 dice and Unifix cubes in two different colors to play. We determine if we are playing to win with more or less before the game starts. When the board is filled, the children create towers, count and compare to determine who won the game. 
Yes, it is that simple to take what one was used for just simple counting and use it for something with a little bit different focus. If you need more games just click on the image above to find out more. These are great partner games and perfect for sub tubs. You can make a set for your sub tub and leave instructions! What sub wouldn't love that?





Sunday, October 18, 2015

Flashlight Friday Math Edition!

Hey Kinder Friends,
It has been a long week of laughter and learning and we are moving right along. I am so lucky this year that I have a class full of kids that love the Math Workshop. There isn't anything they are not willing to try and work through no matter their ability. I have a group full of math leaders that love to help clarify anything for anyone. I must admit, it makes it fun. We have had a few Flashlight Fridays and it did not take long for someone to mention Flashlight Friday...math edition. I could not resist. It sounded like fun. So, I created a Number PowerPoint Show so that we could have Flashlight Friday and practice some important skills too. We identify numbers from 0-20 in order and randomly, we count forward and back. All skills we have to master! Why not have a little fun while working towards our goals? Just download and play and you are on your way! Not to mention, this is perfect for a sub day. Keep working on your goals while you have to be out!
After we practice the glow from the slide show helps us with a little bit of glowing light. And the best part about Flashlight Friday is that it is so peaceful and calm and...quiet. That light and some flashlights to share with a buddy and buddy reading counting books takes on a whole new dimension. Add some glowing spider rings and we are giddy with excitement! 
Add some glow in the dark dice and some counting games and you are off to a great start! The kids tell me it's a hit. So, what are you doing for Flashlight Friday? Drop me a line!
For more information on the slide show click HERE!

Sunday, October 11, 2015

The Math Workshop

Hey Kinder Friends,
One of the biggest questions I hear and ask other teachers about is the structure of the math workshop. We all want to know what is going on in this or that classroom so we can tweak and modify our own workshop and make it better. I never really tire of talking about the math workshop. Over the years I have had a standard 90 minutes of math. The only difference in the last few years is that now that 90 minutes is not broken up by specials or any other event. My 90 minutes is continuous. No matter if I have 90 continuous minutes of math or if it is broken into two parts, I could find and discuss the pros and cons of both. The fact of the matter is that I have 90 minutes of continuous math that consume my math block. Knowing the nature of a five year old and knowing my time allotment I had to make it work so that we are continuously moving through the 90 minutes and accomplishing everything. I will be the first to admit 90 minutes at the beginning of kindergarten is challenging to say the least. It feels like that block will never end and within a few weeks I always find myself begging for more. I had that feeling this Friday. I swear I didn't want to stop! 
What are the components of the Math Workshop?
In my math workshop I include:
Calendar Time
Focus Lesson
Guided Practice
Independent Practice
Small Group Instruction
RTI
Number Talks
Notebooking
Breaking it down!
I follow this format each day of the week except for my computer lab day. Having the lab day break up the week really helps me because it is just once a week and we look forward to it. So the rest of the week we follow the breakdown.
Calendar 5-10
Focus Lesson 5-10
Guided Practice 10
Independent Practice and Focused Small Group 20
Transition 10
Independent Practice and RTI 20
Number Talks 10 
The calendar time is quick and easy. The focus lesson is our current content. Guided practice is simply guided instruction and modeling. Independent practice is when children practice what has already been taught while I work in a small group. I usually have a transition planned that I am excited about because...I don't really like stopping! I need it for time management. Our transitions have been surveys and questions lately. We have another round of independent practice and RTI. And finally we end with Number Talks. I end with Number Talks because everything is cleaned up and it signals the end of the workshop. Number Talks is one of my favorite components so leaving it to the end is motivational to...me!
  Follow Little Miss Kindergarten's board Math on Pinterest.   

Tuesday, October 6, 2015

Sort It Out!

Hey Kinder Friends,
We have been working hard and having a little fun just sorting it all out! And when I say sorting it all out, I literally mean it. Apparently there was a little bit of disarray in a few of our centers and we needed to sort it out just to make sense of it all.
We got right to work and hands-on figured out what sorting actually was. We clearly defined what it meant and took some pictures to help us remember this experience. It took a while to decide our categories and decide how we would organize such a mixture of materials.
Once we decided on our categories we got right to work. I think you can tell in the picture that we were moving right along and getting the job done. In our world this IS real world problem solving at its best. And the kids will tell you that they sure remember the experience. The pictures we took that day were used for our math vocabulary posters and everyone has a clear understanding of what sorting is and what it is not!
A few weeks ago we had five new students enter our class on the same day. It didn't take long before we realized that we had to teach the new students about sorting. I let the kids guide that lesson and they did a great job. I thought they did a wonderful job of being leaders in this endeavor and explaining the reasons for our sorts.
We have also spent a lot of time sorting different things in different ways. We have sorted letters, shapes, names and had time for some conceptual sorts too. All of these experiences have enabled us to be able to sort independently and describe our sorts. 
And after all of this the kids are now coming to me with ideas of things to sort. So, I guess we sorted it all out and can't wait for more! 

Saturday, September 19, 2015

The Counting Jar 2 Freebie!

Hey Kinder Friends,
I have had a lot of questions about Counting Jars and how to use them in class. I didn't really realize that there would be so much talk about one of my favorite activities from Investigations. When I first started using Investigations in the year 2000, the counting jar was one of the first things I fell head over heals with. As a child I loved to count and I counted everything in my head to keep myself busy no matter where I went or what I did. I never told anyone nor did I see a reason to. The information I gathered through counting was really only for me or my amusement. So naturally, as a teacher of young children, I was drawn to The Counting Jar.  
How many is enough?
First, I have several counting jars because one was just not enough because they are in use a lot. This year I have six. One counting jar would do but when you understand the value and longevity of this activity, I bet you really want more. The objects and quantities change and even the expectations throughout the year. When this happens, the counting jar comes back into focus and the interest is revived and new expectations are taught. Start off with what you have on hand and invest your time in teaching the expectations for the counting jar. Like I said, one counting jar was not enough for my class but one could work depending on how you use it. 
What kind of jars?
This is the fun part of setting up counting jars! You decide how many, what kind and what size to use. You can use what you have on hand to get it started. Jars can be big or small and even tiny. Gather materials from the class to put inside the jars so that you always have replenishment materials if needed. 
What the counting jar is and what it is not!
The counting jar is not an estimation jar and has nothing to do with estimation. The counting jar is used for...counting. It provides repeated opportunities to count sets of objects, create sets of objects and record quantities of objects. One reason I love this activity is because of the child recorded component of the counting jar activity. The recordings become the cornerstone during our class meetings as we discuss what we discovered in the counting jars, what we observed other children doing and what we will try next time. We work on learning the expectations as a group before the counting jar finally becomes a choice. 
How do you start using the counting jar?
In the beginning I model using the counting jar. 
I model the task and I model good counting strategies
As I model the task I am modeling and talking about efficient counting strategies. I begin the discussion of counting strategies with organizing the count. Once the children have experience with organizing the count and counting, I let the children guide the discussion and add to different counting strategies. These sessions take several days and each time I model the task and discuss effective counting strategies. Soon the children will be modeling the task and we will be discussing the strategies we observed the model child using. And finally, the children will be working with the jars independently. 
How do the children record?
 We record our findings in our math notebook because that is something readily available in our classroom and requires no extra copies. The children use the jars independently and gather the materials on their own after plenty of modeling and guided practice. Children can record their findings in pictures, numbers and words. How a child records his/her representation of the jar also becomes a focus lesson in itself. In the picture above the children had practiced the parts of the routine they knew and we had been discussing the recording of what was in the jar. The mini poster above captured the count the children recorded and provided a number line for those children who didn't know how to write the number.
These are the first attempts of recording the contents of the counting jar. Children record using pictures, numbers and words. I honestly think these are some of the best first attempts I have ever had. I really believe these recordings reflect that the task was modeled enough and the expectations were made clear. And it reflects that I didn't release the kids too soon which is something that I always have to work on and keep in mind! 
How often do you use counting jars?
During our math block counting jars are a choice among other choices. Children need multiple opportunities to count sets, create sets and record quantities. I like to offer the choice of multiple jars to choose from because the jars are always available. What I have discovered is that children have a favorite jar and really like to recount their favorite. If an item is missing out of a jar they can't wait to tell you! If you notice that children are not choosing counting jars, just change what is inside! 
How and when do children become independent?
Children become independent after I have modeled the expectations several times and after I have supported and guided them as they practiced. When they become independent with the task they will have an anchor chart to remind them of the expectations.I created this visual after we had several teacher directed sessions with our counting jar and after we had created a class chart. I did this for a few reasons. I modified it slightly from Investigations and our class created chart is well written on, redefined and used. This serves as an anchor chart that remains posted. It helps to remind the children the steps and expectations when they begin working independently, It is posted near the counting jars. It demonstrates the steps and expectations as they are now. It can change and grow throughout the year because our thinking and understanding changes and grows throughout the year. Ultimately it will change as our focus changes. 
''
Over the years I have noticed that children tend to want to skip step 2 when they are working independently. Making an equivalent set is an integral part of the counting jar, so it is on the chart and it always reminds me that math is so much more than the final step or a correct answer even when you are five.
The freebie download now includes the jar labels so grab them if you need them! 

Saturday, September 12, 2015

The Counting Jar Freebie!

Hey Kinder Friends,
I am sure you have things well underway in your class by now. We have been in school for three weeks and we are moving right along. I have a small class of kids that are real ready to learn and not afraid to share with me what they already know. Having a class like that sure is motivating! As I was unpacking my classroom I noticed that a few things were looking a little shabby. My beloved counting jars were not looking so good. I thought it would be so easy to find the exact jars I wanted to replace the old but it seems I find myself always looking for the purple unicorn... I really, really wanted Snapware jars that has the lid that just pops up and stays attached but I found these cute paw print jars at Dollar Tree and decided to give them a try. The price was so good I decided to spring for quite a few counting jars and new stuff to put in them.
I was able to find plenty of things to put inside my jars at Dollar Tree. I already had plenty of items I could use from my own classroom but I decided to pick up a few more to add. The children have had fun exploring all of the jars while practicing good counting strategies. This exploration time has given me a chance to observe and make note of what they can do and what my next teaching points will be. And wouldn't you know that the favorite jar has been the jar filled with the black, white and brown fuzzy cat toy mice! 
Maybe you can have a little counting jar fun of your own! 

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