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https://www.mathplayground.com/mathbars.html

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Using Number Bracelets to Develop Part/Whole Thinking - Math Coach's Corner

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Number bracelets are a great hands-on tool for helping students develop part/whole thinking by composing and decomposing numbers.

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Over the summer I introduced the Number Sense Routines book study. Below I will go into detail the number sense routines my class is currently working on. They are all going very well and I can for sure see the positive results.

Here are the number sense routines we are working on:

- Organic number line
-Dot card/numeral match
-Quick Images
-Mingle
-Count around the circle

The below picture is from the organic number line. The meaning behind it is that the students help you decide which pieces would help them to understand each number. We construct it together, talk about each day, and we are able to change out the cards to more challenging ways to represent the numbers as the year progresses.
Click HERE for a detailed post about me constructing my organic number line.

Anyway, each day we meet at the carpet and make a circle. We then count through our number line. We clap on 10 and 20. I then hand my finger pointer to a student and they "teach" us a card from the number line. If they point to a number they might say, "this is the numeral 3." I have taught them the fancy word numeral...they love it! If they point to the tens frame they might state, "this is the number 7 represented on a 10 frame." Finally, if they touch the fingers they say, "this is the number 5 using fingers." I have them alternate the teacher pointer boy-girl-boy-girl.

After this number sense routine we do another one of my FAVES.....dot card matches! Sounds so simple because it is...yet very effective! Below is a snap shot of the cards. I am currently using just the numeral and dot cards. I plan to add in the number word shortly! We make a circle at the carpet for this activity.

Here's the jist of the routine:

{First time being played}
-point to the card and show students where the number one card will start then count out imaginary cards on the floor to the desired number you are working to...possibly 1-5. So count 1, 2, 3, 4, 5. Each number move over your finger and point to where the card will lay.

-Pull out and place the numeral 1 card. Continue with the remaining numbers 2-5.

-Then, move on to pulling our the dot cards. Showing students how numbers can also be represented with dots!

I have now moved on to the following steps with my students and they are doing great!{Make it challenging}-point to the card and show students where the number one card will start then count out imaginary cards on the floor to the desired number you are working to...possibly 1-5. So count 1, 2, 3, 4, 5. Each number move over your finger and point to where the card will lay.

-Pull out random numeral and dot cards. Possibly pull out the numeral 3 and have a student place it in the correct spot. You can have them model how they knew where to place the card. "I knew that one would start here so I counted over 1, 2, 3."

We are also working on quick images/subitizing! I know I said I love the previous two number sense routines, but this is another great one! I use printed subitizing cards {see below for those}. I not only use these cards during math but daily I take them to the hallway with me and quiz my students before they go into the restroom.

Above is an activity we will do for quick images at the carpet. I will show the students my quick image and they will match me using their ten frame board and snap cubes. I am constantly asking my students to explain how they saw their answer. "I saw two on the top and two on the bottom." Click below to grab my subitizing cards.

Another fun and exciting number sense routine is called Mingle! It is best explained by watching the video below! {sorry it made itself a home at the very end of the post!!}

Finally, the last number sense routine we've been working on is count around the circle. This is number sense routine takes lots of practice and patience {on the teacher's part}. Students sit in a circle and take turns giving a number in a given counting sequence. Currently my students are counting to 10 and then we start over again. I start with one and then we continue to count. At 10 we start over again with 1. Eventually we count to a higher sequence {100} and start at numbers beyond 1 {start counting at 23}. We will get there I know...now we are just trying to stay focused so we know when it's our turn 🙂

A break down of my number sense routines by day of the week:

Below are a few random activities my students have been working on. Again, we are using Math in Focus. We are currently working on numbers to 10.
The above activity comes from THIS adorable five frame packet! Students pulled a five frame, represent the matching dots on their five frame, write the number, and make the matching set using snap cubes! The packet has several other cute five frame games!

This acitvity and simple and effective! Students roll the cube and represent that number on their tens frame. Download the freebie ten frames boards HERE.

Number Bracelets!
Read about them and grab these practice sheets in the FREEBIE packet below!

Below are a few snap shots from a new game we've been playing at the carpet as well. It is called more, less, and the same! I present the students with two cards and we decide if the card I mention is more, less, or the same. There are picture and numeral cards to make it more tricky 🙂 This is another freebie that you download below!
2 is less than 3.
6 bees is the same as the numeral 6.

3 is more than 2.

Below are some fun and engaging interactive math games 🙂

I will be back over the weekend...until then enjoy your weekend!

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Early Number Sense {freebies} - Little Minds at Work

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You made it...it's the weekend! Whoop! Whoop! I wanted to take a moment to share with you a few activities we've been doing in math. I will also share a few fun and interactive games to play as well! Below is snap shot of my days in school counting tape.

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Access Google Sites with a personal Google account or Google Workspace account (for business use).

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Awhile back I saw this pin and kept thinking I need to do that. It took me longer than I wanted but I finally got around to getting it together. I bought a $1 pack of kids' size clothes hangers. The wire ones may be easier to get the shirts on and off of though.

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Being able to easily compose and decompose numbers is a crucial component of number sense. Kids need lots of practice composing and decomposing numbers to 10 in Kindergarten and 1st grade. In 2nd grade, they should be working with 2-digit numbers. You honestly just can't get enough of this type of practice. So, the challenge becomes keeping it fresh and engaging. I remember my 1st grade teachers telling me one day "Under a Rock has got to go!"
Shake and Spill is a great game, because it is easy to make different versions (almost any graphic will do), it's easy to differentiate (the target number can be 5, 25, or whatever you want to make it), and it's fun to play!

Basically, you choose a target number; let's say 5, for example. Players put 5 counters in a cup, they shake it, and they spill the counters onto the mat. Then they describe how many fell on the picture and how many fell off. They continue this process trying to find all the combinations for the target number. Here's a tip. Put the Shake and Spill Mat inside something. I like to use my workstation box, like I've shown in the picture. It keeps the "spillage" contained! BTW, that's my favorite type of box for work stations. I love that it can hold a full letter size piece of paper, and it has a snap on lid so you can stack the boxes.

What about CRA? The game itself is concrete learning,because students are manipulating objects. The printables I've included extend the activity to the representational (drawing) and abstract (symbolic) stages. Of course that would be a gradual process!

Grab your free copy of Quack Attack at my TpT store.

Want a whole year of Shake and Spill boards?

Incorporate graphing for even more powerful learning!

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QUACK! Composing and Decomposing Numbers - Math Coach's Corner

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Being able to easily compose and decompose numbers is a crucial component of number sense. Kids need lots of practice composing and decomposing numbers to 10 in Kindergarten and 1st grade. In 2nd grade, they should be working with 2-digit numbers. You honestly just can't get enough of this type of practice.

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Over the summer I introduced the Number Sense Routines book study. Below I will go into detail the number sense routines my class is currently working on. They are all going very well and I can for sure see the positive results.

Here are the number sense routines we are working on:

- Organic number line
-Dot card/numeral match
-Quick Images
-Mingle
-Count around the circle

The below picture is from the organic number line. The meaning behind it is that the students help you decide which pieces would help them to understand each number. We construct it together, talk about each day, and we are able to change out the cards to more challenging ways to represent the numbers as the year progresses.
Click HERE for a detailed post about me constructing my organic number line.

Anyway, each day we meet at the carpet and make a circle. We then count through our number line. We clap on 10 and 20. I then hand my finger pointer to a student and they "teach" us a card from the number line. If they point to a number they might say, "this is the numeral 3." I have taught them the fancy word numeral...they love it! If they point to the tens frame they might state, "this is the number 7 represented on a 10 frame." Finally, if they touch the fingers they say, "this is the number 5 using fingers." I have them alternate the teacher pointer boy-girl-boy-girl.

After this number sense routine we do another one of my FAVES.....dot card matches! Sounds so simple because it is...yet very effective! Below is a snap shot of the cards. I am currently using just the numeral and dot cards. I plan to add in the number word shortly! We make a circle at the carpet for this activity.

Here's the jist of the routine:

{First time being played}
-point to the card and show students where the number one card will start then count out imaginary cards on the floor to the desired number you are working to...possibly 1-5. So count 1, 2, 3, 4, 5. Each number move over your finger and point to where the card will lay.

-Pull out and place the numeral 1 card. Continue with the remaining numbers 2-5.

-Then, move on to pulling our the dot cards. Showing students how numbers can also be represented with dots!

I have now moved on to the following steps with my students and they are doing great!{Make it challenging}-point to the card and show students where the number one card will start then count out imaginary cards on the floor to the desired number you are working to...possibly 1-5. So count 1, 2, 3, 4, 5. Each number move over your finger and point to where the card will lay.

-Pull out random numeral and dot cards. Possibly pull out the numeral 3 and have a student place it in the correct spot. You can have them model how they knew where to place the card. "I knew that one would start here so I counted over 1, 2, 3."

We are also working on quick images/subitizing! I know I said I love the previous two number sense routines, but this is another great one! I use printed subitizing cards {see below for those}. I not only use these cards during math but daily I take them to the hallway with me and quiz my students before they go into the restroom.

Above is an activity we will do for quick images at the carpet. I will show the students my quick image and they will match me using their ten frame board and snap cubes. I am constantly asking my students to explain how they saw their answer. "I saw two on the top and two on the bottom." Click below to grab my subitizing cards.

Another fun and exciting number sense routine is called Mingle! It is best explained by watching the video below! {sorry it made itself a home at the very end of the post!!}

Finally, the last number sense routine we've been working on is count around the circle. This is number sense routine takes lots of practice and patience {on the teacher's part}. Students sit in a circle and take turns giving a number in a given counting sequence. Currently my students are counting to 10 and then we start over again. I start with one and then we continue to count. At 10 we start over again with 1. Eventually we count to a higher sequence {100} and start at numbers beyond 1 {start counting at 23}. We will get there I know...now we are just trying to stay focused so we know when it's our turn 🙂

A break down of my number sense routines by day of the week:

Below are a few random activities my students have been working on. Again, we are using Math in Focus. We are currently working on numbers to 10.
The above activity comes from THIS adorable five frame packet! Students pulled a five frame, represent the matching dots on their five frame, write the number, and make the matching set using snap cubes! The packet has several other cute five frame games!

This acitvity and simple and effective! Students roll the cube and represent that number on their tens frame. Download the freebie ten frames boards HERE.

Number Bracelets!
Read about them and grab these practice sheets in the FREEBIE packet below!

Below are a few snap shots from a new game we've been playing at the carpet as well. It is called more, less, and the same! I present the students with two cards and we decide if the card I mention is more, less, or the same. There are picture and numeral cards to make it more tricky 🙂 This is another freebie that you download below!
2 is less than 3.
6 bees is the same as the numeral 6.

3 is more than 2.

Below are some fun and engaging interactive math games 🙂

I will be back over the weekend...until then enjoy your weekend!

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Early Number Sense {freebies} - Little Minds at Work

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You made it...it's the weekend! Whoop! Whoop! I wanted to take a moment to share with you a few activities we've been doing in math. I will also share a few fun and interactive games to play as well! Below is snap shot of my days in school counting tape.

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http://clipart-library.com/120-chart-cliparts.html

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Place Value Primary Teaching Resources & Decimal Numbers - SparkleBox

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FREE printable space-themed number teaching resources for Primary School teachers

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This is plain version of a printable 120 chart, including charts that are missing numbers as well as a blank 120 chart that the student must fill in to use.

Why a 120 Chart?

What is the point of 120 chart versus a 100 chart? You may think it's something to do with those times twelve multiplication facts, but it's actually something quite a bit more basic.

We practice counting by ones and skip counting numbers and many basic arithmetic skills solidly in the realm of two digit numbers. And for exactly this reason, when many kids get to a hundred, they're not sure where to go next. If you ask a first grade or second grade student what number follows one hundred, you'll occaisonally be surprised at the answer... I've gotten 110, 102, 200, and other values that would leave you exasperated.

A 120 chart is a perfect way to address this. By seeing the sequence of numbers on a 120 chart, a student has the opportunity to develop a mental framework for numbers that follow 100 and to start getting the sense that those place value concepts used to count ones and tens just carry over into hundreds as well. A 120 chart is just long enough to push kids over that one small hurdle, and it's part of the reason the Common Core standards have encouraged fact practice up through 120.

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This is plain version of a printable 120 chart, including charts that are missing numbers as well as a blank 120 chart that the student must fill in to use. Why a 120 Chart? What is the point of 120 chart versus a 100 chart?

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⊕ Homepage - All Blank Ten Frame PNG Images : 5 Best Images of 10 Frames Fr... images. Use these free 5 Best Images of 10 Frames Fr for your personal projects or designs png.

Are you searching for Blank Ten Frame PNG images? Choose from HD Blank Ten Frame PNG graphic-images resources and download in the form of PNG, PSD or EPS.

Trend and Last Added PNG

Get in Touch with Us;
If the copyright of any PNG Image belongs to you,
contact us and we will remove it!

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⊕ Homepage - All Blank Ten Frame PNG Images : 5 Best Images of 10 Frames Fr... images. Use these free 5 Best Images of 10 Frames Fr for your personal projects or designs png. Are you searching for Blank Ten Frame PNG images?

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Free Place Value - Lucky Little Learners

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My name is Angie Olson and I am the teacher, author, and curriculum designer behind Lucky Little Learners. I created Lucky Little Learners as a way to connect with other teachers around the world. I develop lesson plans, printables, centers, interactive notebooks, activities, and resources for other teachers.

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Place Value Primary Teaching Resources & Decimal Numbers - SparkleBox

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FREE printable space-themed number teaching resources for Primary School teachers

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Fun Songs With UMIGO - Wanna Win Just Add 10 (EARLY ARITHMETIC)

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http://parta.innovations2019.org/free-printable-fraction-bar-chart/

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http://files.hubbardscupboard.org/Unifix_Cube_Sheets.PDF

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Average Rating:

Recommended Grade(s): 2-8

Description

Available online only. Limited quantities available.

These transparent fraction pattern blocks will increase the learning possibilities when used with transparent pattern blocks. The brown blocks are equal to 1/4 of a hexagon; the purple blocks equal 1/12 of a hexagon. Set of 36 includes 24 purple and 12 brown blocks.

Details

Type: Manipulatives

ISBN/UPC 841971104713

Safety

WARNING: CHOKING HAZARD - SMALL PARTS. Not for children under 3 yrs.

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available online only. limited quantities available.

these transparent fraction pattern blocks will increase the learning possibilities when used with transparent pattern blocks. the brown blocks are equal to 1/4 of a hexagon; the purple blocks equal 1/12 of a hexagon. set of 36 includes 24 purple and 12 brown blocks.*****offer: sale

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Free Shipping on orders over $99, Safe & Easy ordering plus 100% Satisfaction Guaranteed. Over 6000 school and teacher supplies for PreK-12 classrooms 800-770-8010

# data[].attributes.attachment_link.description
Average Rating: Recommended Grade(s): 2-8 Description Available online only. Limited quantities available. These transparent fraction pattern blocks will increase the learning possibilities when used with transparent pattern blocks. The brown blocks are equal to 1/4 of a hexagon; the purple blocks equal 1/12 of a hexagon.

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https://www.eduplace.com/math/mthexp/g3/visual/pdf/vs_g3_47.pdf

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https://apps.mathlearningcenter.org/pattern-shapes/

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https://apps.mathlearningcenter.org/number-line/

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https://apps.mathlearningcenter.org/number-frames/

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http://www.mathwire.com/problemsolving/thirteenways.pdf

https://commoncoretools.files.wordpress.com/2011/08/ccss_progression_nf_35_2011_08_12.pdf

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https://pbskids.org/cyberchase/games/thirteen-ways-looking-half

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https://www.abcya.com/games/fraction_percent_decimal_tiles

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ASKING STUDENTS TO CHOOSE A PATH AND JUSTIFY IT WITH MATH

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Same But Different is a powerful routine for use in math classrooms. The images can be used for teaching a way of thinking: grayscale thinking, categorical thinking; helping students to build a network of ideas and an approach for learning and thinking about mathematics.

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Second grade is the first year students are exposed to two-digit addition problems. It is the year that they will be exposed to multiple addition strategies that they can use to solve problems. We spend a lot of time discussing these addition strategies, using models and manipulatives, and doing mental math.

It is often asked why we teach things so differently from the way we as adults learned growing up. The answer is simple. We need to teach the WHY before we teach the HOW. We want to give student's lot of options and flexibility when it comes to solving problems. Each child learns differently.

The Texas TEK for two-digit addition states:

2.4B: Add up to four two-digit numbers and subtract two-digit numbers using mental strategies and algorithms based on place value and properties of operations.

The Common Core Standard for two-digit addition states:

2.NBT.B.5: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

Note that the bolded text above says nothing about the standard algorithm we learned growing up years ago. Keep reading to learn about four strategies I introduce and teach my students two-digit addition. Note that these strategies will not focus on regrouping. Students need a strong understanding of place value AND simple addition before moving on to that task.

At the beginning our addition unit I always make this anchor chart. As we learn a new strategy it is added to our whole group chart. My students keep a matching copy of this in their math journal. This is helpful for them to look back on when they need extra support.

Let me break down these four strategies a little more.

When introducing two-digit addition, I always start with the base ten model. We do lots of work with base ten block manipulatives but I also teach them to draw the blocks out on paper. This is because students won't always have those manipulatives available to them, but they will have a pencil and paper. I've found that this strategy is most often used if students have a strong sense of place value.

I always give my students a place value mat placed inside a plastic sleeve. This allows students to also write or draw using a dry erase marker and they can be used over and over again.

Here is how this addition strategy works using the example 62+34.

When students need to draw out this strategy it works the same way. I teach them to draw "sticks" to represent the tens and "dots" to represent the ones. I also teach them to draw out the first addend and then draw the second addend underneath. They'll count to solve for the sum.

The second addition strategy that I always introduce is the Expanded Form Method. This is another strategy that is extremely beneficial, but students must again have a strong knowledge of place value and expanding numbers. Each addended will be broken apart into tens and ones and helps students see that the tens place isn't just a 6. It's value represents 60 or 6 tens.

Here is how it works using the example 52+45.

Expand the second addend and write it underneath the first. >>> 40+5

Using an open number line to solve two-digit addition problems is highly beneficial but also tends to be more challenging for students. Especially if they do not have a strong knowledge of mental math.

This strategy focuses on students "hopping" along a number line to solve the sum of a given problem. Large hops are drawn for plus 10 and smaller hops are drawn for plus 1. To help students visualize this strategy more, I always include base ten blocks at first. When they are more comfortable with this strategy then they can take them away.

Here is how it works using the example 22+43.

When it comes to putting pencil to paper your students can easily do the same strategy. If they need to draw base ten blocks along their number line they can. Our goal is for them to be able to mentally add.

This traditional method is probably how you learned two-digit addition growing up and it is what our children's parents are most familiar with.

For this strategy, students need to line up both addends vertically underneath each other. They will add the numbers in the ones place first and then the tens place to solve for the sum.

One tip that can be helpful when first learning this strategy is to have students us a highlighter to highlight the ones place or have them circle the numbers in the ones place first. This helps them visualize to add the ones place first followed by the tens. I want this to become a habit for my students. This concept can be more complicated for them than we realize because they are trained to read and write from left to right. It will be more difficult when they learn how to regroup when adding two-digit numbers so getting them in this habit first will be helpful.

At the end of our unit, we always make these Addition Strategy Flipbooks to help us review. They can keep these to use later as a reference when they need it.

Whew! That may seem like a lot of information to process. We all learn concepts in different ways and the addition strategies that I have shared are what I have found to be beneficial for my own students. There is no right or wrong strategy when it comes to solving two-digit addition problems. Allow your students to choose the method that works best for them and have them stick with it. Once they have found a method that they are comfortable with, it is important to provide them with multiple opportunities to practice. Below are some resources that you may find helpful.

Want to save these ideas for later? Pin the image below.

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Addition Strategies: 4 Methods for Teaching Two-Digit Addition

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Second grade is the first year students are exposed to two-digit addition problems. It is the year that they will be exposed to multiple addition strategies that they can use to solve problems. We spend a lot of time discussing these addition strategies, using models and manipulatives, and doing mental math.

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ABCya! * Virtual Manipulatives - Fraction, Percent & Decimal Tiles

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Virtual Manipulatives: Fraction, Decimal & Percent Tiles is a fun way for students to explore and understand how parts make up a whole. Let Dottie the Worm help kids better comprehend various math concepts while working with colorful blocks and tiles!

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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multiplying fractions with the geoboards - Google Search

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Martina - Multiplying fractions on a geoboard ( for developing ...

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Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011.

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Same but Different

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Steve Wyborney\\\'s Blog: I\\\'m on a Learning Mission.

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Fraction Splats! have arrived! The original Splat! post rocketed up to over 35,000 hits in less than a month, which included over 19,000 lesson downloads! All 50 lessons in the Splat! post involved whole numbers. In this post, I've turned my attention to fractions, and have created 20 new lessons for you to download! This is The Fraction Splat! Series. Watch the video, download the lessons, and try them in your classroom!
Note: I've created the lessons in PowerPoint, so I recommend using PowerPoint to view them.
After reading this blog post, take a look at THE 12 MOST POPULAR MATH STRATEGIES AND DOWNLOADS ON THIS BLOG.
Note: These lessons use a single splat along with a mixture of unit fractions and whole numbers. In Level 11, you control the Splat! SPLAT 11.1 - Fraction Splats SPLAT 11.2 - Fraction Splats SPLAT 11.3 - Fraction Splats SPLAT 11.4 - Fraction Splats SPLAT 11.5 - Fraction Splats
Instant Fraction Splat!
Note: These lessons use a single Splat! which appears at the same moment as the whole numbers and fractions. Each question instantly presents missing information. SPLAT 12.1 - Instant Fraction Splats SPLAT 12.2 - Instant Fraction Splats SPLAT 12.3 - Instant Fraction Splats SPLAT 12.4 - Instant Fraction Splats SPLAT 12.5 - Instant Fraction Splats
Multiple Splats! with Fractions
Note: These lessons include multiple Splats! and you control the timing of those Splats! The entire screen can be seen, the total can be determined, and then Splat! Remember: Each Splat! that is the same color must be covering the same number. SPLAT 13.1 - Multiple Fraction Splats SPLAT 13.2 - Multiple Fraction Splats SPLAT 13.3 - Multiple Fraction Splats SPLAT 13.4 - Multiple Fraction Splats SPLAT 13.5 - Multiple Fraction Splats
Multiple Splats! with Fractions
Note: These lessons use multiple Splats! which appear at the same moment as the whole numbers and fractions. Each question instantly presents missing information. Remember: Each Splat! that is the same color must be covering the same number. SPLAT 14.1 - Instant Multiple Fraction Splats SPLAT 14.2 - Instant Multiple Fraction Splats SPLAT 14.3 - Instant Multiple Fraction Splats SPLAT 14.4 - Instant Multiple Fraction Splats SPLAT 14.5 - Instant Multiple Fraction Splats
Other Posts and Resources Which May Be of Interest

Splat! The original 50 downloadable Splat! lessons include 10 levels and variations.

Tiled Area Questions is a colorful, powerful, highly visual strategy for decomposing numbers - and offers many downloadable pages.

The Animated Multiplication Table remains one of the most popular downloaded resources from this blog, and this post includes several ideas about how to use it.

The Maze Hundreds Chart is another downloadable resource that can lead to some highly intriguing questions and rich discourse.

You may also be interested in Provide Massive Space to Notice.

Please take a moment to subscribe to the blog so you'll be notified each time new resources are posted!

I would treasure hearing about your experiences using The Fraction Splat! Series to promote number sense in your classroom!

All my best,
Steve

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The Fraction Splat! Series - Steve Wyborney's Blog: I'm on a Learning Mission.

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Fraction Splats! have arrived! The original Splat! post rocketed up to over 35,000 hits in less than a month, which included over 19,000 lesson downloads!

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Cyberchase . Games . Thirteen Ways of Looking at a Half | PBS KIDS

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Learn about fractions in this Cyberchase math game.

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https://mathtechconnections.com/2019/09/15/multiplying-fractions-by-whole-numbers/

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https://lrt.ednet.ns.ca/PD/BLM/pdf_files/fraction_circles/to_twelfths_unlabelled.pdf

https://toytheater.com/fraction-circles/

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Using fraction circles to teach fractions is as easy as pie! Using the idea of pie is actually a great way to familiarize students with the idea of fractions. With fraction circles, children can imagine dividing a pie into equal pieces and show that visually.

To use the fraction circles, simply click and drag the colored pieces onto the circles. You can remove pieces by simply clicking them and dragging them out of the circles. By using different colors for each fraction, we made it easy for students to compare them.

Use these interactive fraction circles with your students to explore equivalent fractions, common denominators, and mixed numbers. You can show students a mixed, simple, or improper fraction and then ask students to model it using the fraction circles. Students can also model operations with fractions using fraction circles.

Looking for more fraction resources? Check out our fraction bars and fraction strips

Visit classplayground.com for more resources and printables related to fraction circles.

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Fraction Circles | Free Virtual Manipulatives | Toy Theater

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These interactive manipulative online fraction circles make teaching fractions as easy as pie! Model from 1/12th to 1 whole.

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http://www.didax.com/apps/unifix/

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http://files.hubbardscupboard.org/Unifix_Cube_Sheets.PDF

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https://www.printnpractice.com/support-files/1-inch-graph-paper.pdf

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https://www.abcya.com/games/fraction_percent_decimal_tiles

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free printable fraction bar chart - Barta.innovations2019.org

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equivalent fraction worksheets, equivalent fractions chart worksheet differentiated, 42 efficient fraction strips chart, free printable fraction bar strips file folder fun, 16 sample bar graph worksheet templates free pdf

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https://apps.mathlearningcenter.org/number-line/

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Here's a Fun Way to Teach Fractions Using Pool Noodles [Video] | Teaching fractions, Math for kids, Fractions

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Make teaching fractions fun with this pool noodle lesson! It's a great way to keep your elementary math students' interest afloat.

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Use pattern blocks to help students find equivalent fractions. Students simply take the blocks and trade them in for larger and larger blocks until they can not use any larger blocks to make the same shape. See below for some examples. The first row shows the blocks as fractions of 1 hexagon.

To make using hexagons for fractions more engaging, call them cookies since they are yellow and the size of a cookie. There is a TERC math investigation lesson called "Hexagon Cookies" which is in the Fair Shares book (for 3rd grade). Hexagon Cookies makes a great lesson to teach previous to simplifying fractions with the pattern blocks.

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How Can You Use Pattern Blocks to Simplify Fractions?

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Use pattern blocks to help students find equivalent fractions. Students simply take the blocks and trade them in for larger and larger blocks until they can not use any larger blocks to make the same shape. See below for some examples. The first row shows the blocks as fractions of 1 hexagon.

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Fractions book for fractions activities for half of, third of, fourth of practice in a fun and differentiated way! There is also a book that practices half of, fourth of, and whole if you don't teach thirds. (UK Version also included if you teach "Quarter of" rather than "Fourth of")

Check out the video preview for an example of one of the books! :)

I included 8 versions of this fractions book so that is really easy to differentiate for all levels! Each book has 5 little pages for each type of fraction, which means 15 little pages of visuals to flip through total per book. Half of the books practice half of, fourth of, and whole. The other half of the books practice half of, third of, and fourth of. Here are the included books:

1) Half of, fourth of, third of book that is premade. Students simply cut out, assemble, and glue to create.

2) Half of, fourth of, third of book where students must cut out, assemble, and glue the book. Then, they must sort the different fraction visuals under the correct description (half of, fourth of, or third of).

3) Half of, fourth of, third of book that is premade like #1 but students must go through the book to color in the fraction that is described. For example, under the "half of" page, they would go through and color in half of each fraction under it to make the book correctly.

4) Half of, fourth of, third of book where students make the books, then have to color in one part of each fraction, the sort those fractions to glue them under the correct description (half of, third of, or fourth of)

5 - 8) The same as books 1-4 but with half of, fourth of, and whole.

Please note that these books are very similar so they would probably only be used for one lesson/activity. There are 8 books included but that is for the purpose of differentiation, not for 8 different lessons.

I also included a UK spelling version of the books where I use "quarter of" instead of "fourth of" to give another option for the fractions terminology!

If you like this book, check out:
3D Shapes in Real Life Book
I also have a lot of these books for literacy and phonics skills!

For A LOT of awesome fractions practice, check out:
First Grade Math Unit 18
I have a huge blog post filled with fun Fractions Teaching Ideas here:
Fractions in First Grade
For even more fractions practice, check out:
Fractions Fun Fun Fractions Cut and Paste Half or Fourth Cut and Paste Equal Parts or Unequal Parts Cut and Paste Worksheets

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Fractions Book (Fractions Activities for Half of, Third Of, Fourth Of)

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Fractions book for fractions activities for half of, third of, fourth of practice in a fun and differentiated way! There is also a book that practices half of, fourth of, and whole if you don't teach thirds. (UK Version also included if you teach "Quarter of" rather than "Fourth of")Check out the vi...

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I've got two great math journal entries to share with you today, both about fractions. With the end of the year in sight, our math journal entries will be coming to end soon, too. These math journals have been my favourite addition to my classroom this year - hands down. I'm so excited to be able to provide my students with a tool they can keep using for years to come. We've got a highschool co-op student at our school right now, who just happens to be a graduate of our elementary school. One day at lunch she told me how much she appreciated the math notecard system we used when she was in my class - she said she was able to use it as a reference for years - even into her highschool math classes. I told her she had to stop by my class and see our new math journals - same kind of valuable reference tool, but so much more interactive.

Anyhow ... my first entry to share with you today is our fraction flipbook - focusing on converting fractions to decimals and percents. I got my inspiration for this from this pin on pinterest - a fabulous idea from Buzzing with Mrs. B. We cut 10 pieces of paper at various lengths to make this flipbook and stapled the pages together at the top. I made a quick handout for each student that had 9 boxes for the labels, 9 circles and 9 rectangles for drawing the fractions, and 9 tables that had fraction, decimal, and percent sections. Students cut out all the pieces and glued them into each section. We did two sections together, and then the students were responsible for finishing the book independently so I could assess for understanding.

We also completed a left-side of the page thinking for this entry, where students discuss what they already know, what they learned, proof, and a reflection. Do you see the yellow dot in the top left corner? This is our traffic light comprehension - students give a green dot if they found the concept easy, yellow for some difficulty, and red for a lot of difficulty. We use our traffic light comprehension dots on our group work during our three-part lessons in math, but I hadn't thought of adding them to our math journals until now. This gives me a quick way to see what students may need a little extra help with this lesson or concept. Can't believe I didn't think of adding it to my journals until now - LOVE how the journals keep evolving this year!

Our second journal entry focused on Equivalent Fractions. I've been using pizza fractions for years (and judging from the amount of pins on pinterest, so has everyone else). ;) I gave each student a circle and had them draw a smaller circle around the edge to make a crust for the pizza. We then folded our circle into sixteenths. I gave students the learning goal and instructions to make the pizza: 1/4 cheese, 1/4 pepperoni, 1/8 mushrooms, 1/8 sausage, 3/16 green olives (or alligator nostrils as my four-year old calls them), and 1/16 anchovies (had to get something in there to "gross out" my plethora of boys in the class). We discussed that 2/8 equaled 1/4, and 2/4 equaled 1/2, and so on ...

We then cut along the fraction lines and peeled back the sections so we could practice our converting to decimals and percents (still working on that concept from last week).

We also completed a left side of the page thinking for this entry. I completely forgot to remind the students to add a traffic light comprehension dot to their page this time ... I think I'll get them to do that before I invite a student to share his or her journal entry as our review on Monday.

We also had some fun using my Fraction Cootie Catchers - such a fun way for partner review. At this time of year, (and with the sun shining outside) I've got to pull out all the stops to keep my students engaged. And I loved "eavesdropping" on the various conversations around the room. When a partner got the answer wrong, the other partner had to "teach and explain" how to find the correct answer. You can click on the picture to see this product at my TPT store.

Hope you are all having a fantastic weekend - it's hot and sunny here today, so we'll be making some homemade popsicles to enjoy while wading in the kiddie pool this afternoon.

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I've got two great math journal entries to share with you today, both about fractions. With the end of the year in sight, our math journal entries will be coming to end soon, too. These math journals have been my favourite addition to my classroom this year - hands down.

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https://apps.mathlearningcenter.org/geoboard/

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Geoboard is a tool for mathematical exploration. Stretch bands around the pegs to form line segments and polygons, and make discoveries about perimeter, area, angles, congruence, fractions, and more.

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Pattern Shapes by The Math Learning Center

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Students use Pattern Shapes to explore geometry and fractions, create their own designs, or fill in outlines. As they work with shapes, students think about angles, investigate symmetry, and compose and decompose larger shapes.

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Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011.

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Model your word problems with Thinking Blocks! Only at MathPlayground.com.

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https://hcpss.instructure.com/courses/106/pages/just-the-facts

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https://wodb.ca/

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https://www.samebutdifferentmath.com/

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https://www.didax.com/math/virtual-manipulatives.html

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https://www.mathlearningcenter.org/resources/apps

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http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html

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Early Numeracy - SAME BUT DIFFERENT MATH

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Find and save recipes, parenting hacks, style inspiration and other ideas to try.

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https://www.center.edu/NewsletterText/documents/Chapter6.pdf

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https://www.wouldyourathermath.com/category/k2/

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3-5
https://www.wouldyourathermath.com/category/3to5/

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https://apps.mathlearningcenter.org/pattern-shapes/

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https://apps.mathlearningcenter.org/geoboard/

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https://www.google.com/search?q=multiplying+fractions+with+the+geoboards&oq=multiplying+fractions+with+the+geoboards&aqs=chrome..69i57l2j69i59.9057j0j7&sourceid=chrome&ie=UTF-8

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https://www.mathcoachscorner.com/2014/04/skip-counting-it-aint-just-2s-5s-and-10s/

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https://www.pinterest.com/drnicki7/data/

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THIS post was last updated on:

WHY Teach Calendar Math? Calendar time is a great way to incorporate a daily review of math skills learned throughout the year. On this page you'll find three resources:

1. Calendar Math Wall Information

2. Calendar SMARTBoard Files Information

3. Calendar Binder File Information

In our classroom we utilize the Calendar Smartboard, but I have used all three resources at one point in time. Read on for more details and for the downloads! I'd like to share a couple of calendar math resources that I have either found or created that support the use of calendar math within the school day. First up? I've completely updated my calendar routine to align with the common core state standards.

View Standards Alignment for Calendar Math

The second resource is an article from Teaching Children Mathematics (2006) about how calendar math, if incorporated well, can improve students' math reasoning and ability.

Calendar SMARTboard The calendar SMARTboard files incorporate similar aspects of the traditional calendar wall. Skills reviewed include:

When you open a SMARTboard file, feel free to edit the file to fit your students' needs. The files are rather large, and are stored in two locations:

SMARTboard Calendar Files [DROPBOX]: 2021-22 now available!

SMARTboard Calendar Files [GOOGLE DRIVE]: 2021-22 now available!

If you are unable to download from Dropbox and/or Google Drive, try signing out of your school's Google account. Or try from home. Some schools block Dropbox and/or Google Drive. Unfortunately I am unable to email the files as they are very large.

Calendar Binders Want to involve students as a class while the calendar helper completes the daily SMARTboard or Wall Calendar? Try calendar binders! Students complete the binder activities independently, or in conjunction with the Calendar Wall/SMARTboard routine.

Below you'll find the Calendar Binder downloads. If you are unable to download from Dropbox and/or Google Drive, try signing out of your school's Google account. Or try from home. Some schools block Dropbox and/or Google Drive. Unfortunately I am unable to email the files as they are very large.

Calendar BINDER Files [DROPBOX]: 2021-22 now available!

Calendar BINDER Files [GOOGLE DRIVE]: 2021-22 now available!

For the first week or two, I model how to do the sheets. I've found that it helps to pin the sheets up on a wall space, give students clip boards, have them sit in front of the display, use a pointer, and do each page as a class. I complete it on the wall space, using marker so they can see it better. They complete it in their binder, using pencil, so they can erase if needed. The first week or so, do it AFTER calendar so that they already have the background knowledge of today's date, day, year, etc. Refer to the larger calendar as a point of reference, so that students know that when they get stuck on a calendar page, they can refer to the class calendar for help, before coming to you.

Calendar Wall Prior to our SMARTboard Calendar, we had a wall calendar. You can visually dissect the image below to get a better idea of what was included.

Calendar WALL Files [DROPBOX]

Calendar WALL Files [GOOGLE DRIVE]

If you are unable to download from Dropbox and/or Google Drive, try signing out of your school's Google account. Or try from home. Some schools block Dropbox and/or Google Drive. Unfortunately I am unable to email the files as they are very large.

Tell us about your calendar routine!

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WHY Teach Calendar Math? Calendar time is a great way to incorporate a daily review of math skills learned throughout the year. On this page you'll find three resources: Calendar Math Wall Information Calendar SMARTBoard Files Information Calendar Binder File Information In our classroom we utilize the Calendar Smartboard, but I have used all three resources at one point in time.

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What is tricky?

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Are you interested in using rekenreks with your students, but you're not sure how? A few years ago, I was in the same boat. I had been to a math training that used rekereks and I couldn't wait to use them in my classroom. I made a class set out of cardboard and proudly brought them to school. Except I had no idea what to do with them! I had learned a game or two, but needed guidance with how to teach my students about them. In this post, I'll show you how I introduce rekenreks to my students and some of the first activities I do with them.
Introducing Rekenreks
Like any other manipulative I introduce, I always allow my students to hold and play with the rekenreks for a while before we use them for instruction. After a few minutes of exploration I ask: What do you notice? What do you wonder?

I then explain that a rekenrek is a tool that will help us work with and understand numbers. I show the students what the rekenrek looks like when it's in "rest position." This is when all of the beads are pushed over to the right.

Next, I model how to make a number by sliding beads over to the left. I invite students to make the same number on their rekenreks. Once your students are comfortable with the procedures for using the rekenreks, you are ready to use them for number talks, games, and problem solving!
5 Favorite Activities for Rekenreks

1. What's my Number?- Create a number on your own rekenrek and show it to the students quickly (3-5 seconds). Ask the students to tell you what number they saw.

2. Show Me- Hold up a number card or call out a number. Have the students create the number on their own rekenreks and then hold them up to show you. Record different ways students made the number on chart paper.

3. Story Problems- Use rekenreks to model story problems. "5 ducks were swimming on a pond. 2 more ducks came to join them. How many ducks are swimming on the pond now?"

4. What's My Way?- Invite the students to make a target number on their rekenreks. At the same time, you create the number on your own so the students can't see. Have students share the way they made the number, in an attempt to guess "your way." For example, say the target number is 6. You made 6 on your rekenrek with 4 on the top and 2 on the bottom. Sally shares out that she made 6 with 3 on the top and 3 on the bottom. You respond, "that's a great way to make 6! 3 on the top and 3 on the bottom! But it's not my way!" Continue calling on students until someone shares that they made 6 with 2 on the top and 2 on the bottom. "Congratulations! You guessed my way!"

5. How Many More?- Choose a target number. Push a portion of the number over on the top row. The students will push the remaining beads needed to make that number on the bottom row. For example, say the target number is 10. You push 6 beads over on the top row. Have students do the same. Then ask, "How many more do we need to make ten?" The students will then push 4 beads over on the bottom row.

I hope I gave you some ideas to help get you started with rekenreks in your classroom. They are a powerful learning tool!

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5 Activities to do with Rekenreks - KTeacherTiff

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Are you interested in using rekenreks with your students, but you're not sure how? A few years ago, I was in the same boat. I had been to a math training that used rekereks and I couldn't wait to use them in my classroom.

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Designed to help kids visualize addition and subtraction strategies, rekenreks are the perfect manipulative for preschool, kinde… | First grade math, Math talk, Math assessment

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Designed to help kids visualize addition and subtraction strategies, rekenreks are the perfect manipulative for preschool, kindergarten, first grade, and second grade math.  Help your students build number sense with these hands-on tools.  They are perfect for whole group instruction during math talks, small groups during guided math, and individual practice during math centers and stations.

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The rekenrek, or arithmetic rack, was designed by Adrian Treffers, a mathematics curriculum researcher at the Freudenthal Institute in Holland, to support the natural development of number sense in children. Smaller versions consist of two rows of 10 beads. Larger versions with ten rows of ten beads are also available. Each row is made of five red beads and five white beads. This allows students to make mental images of numbers. Using 5 and 10 as anchors for counting, adding and subtracting is obviously more efficient than one-by-one counting. This tool provides learners with the visual models they need to discover number relationships and develop a variety of addition and subtraction strategies, including doubles plus or minus one, making tens, and compensation, thereby leading to automaticity of basic facts.

Possible Rekenrek Activities

Possible Math Journal Tasks:

There were 8 children on a bunk bed. Some were on the top bunk and some were on the bottom bunk. How many children were on the top bunk? How many children were on the bottom bunk? Show as many different solutions as you can. Number Stories: Have children use individual arithmetic racks as a tool to solve various types of addition and subtraction number stories. This may be used as a journal or oral activity, with the focus on children explaining their strategy for solving the problem. Be sure to include open-ended problems that have more than one solution that children can model on the arithmetic rack, such as the following:

There were 12 passengers on a double-decker bus. Some passengers were on the top deck and some were on the bottom deck. How many passengers were on the top deck? How many passengers were on the bottom deck? Show as many different solutions as you can.

The above two work samples were completed by a Kindergarten student who represented her work very clearly on the unlined pages in her Math Journal using pictures, numbers and words. To begin with some Kindergarten students may find it difficult to represent their work on paper. Having recording paper available for children who choose to use it is one way to scaffold early attempts at drawing.

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The rekenrek, or arithmetic rack, was designed by Adrian Treffers, a mathematics curriculum researcher at the Freudenthal Institute in Holland, to support the natural development of number sense in children. Smaller versions consist of two rows of 10 beads. Larger versions with ten rows of ten beads are also available.

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My original blog post on Fraction Talks can be found .

Fraction Talks are a built around classroom talk and student action. These two principles guide the teacher's questions, disposition, and facilitation of the activity. They can be become a daily routine, or used for entire lessons.

One common structure is much like a number talk. I project an image, choose a section to be shaded, and ask students, "What fraction is shaded?". Students develop an answer (and reasoning) individually, and signal to me when they are done (usually with a thumbs up). I then extend invitations to share.

As they get comfortable with this, I usually have them do it in small groups with increasingly elaborate diagrams. The questions shift to involve more student choice. Instead of, "What fraction is shaded?" I may ask:

Can you shade a section with twice the area?

Can you shade exactly one-quarter of the shape?

The key is in maintaining an open disposition, encouraging reasoning, and mediating disputes. Some other questions or challenges I've given student include:

Can you find all other sections that are the same size as _____?

Can you find all sections that represent _____?

If the shaded section is worth _____, how big is each other section?

What possible fractions can be shaded?

Can you add a single line to make a section worth _____?

What needs to be added to make the shaded section equal to _____?

Which section has the easiest area to find?

If the total area of the shape is _____, what is the area of the shaded section?

If the area of the shaded section is worth _____, what is the area of the whole shape?

Give students a shape, and have them shade _____ as many ways as possible.

From here, be creative. Have students switch representations. Model the shaded regions with number sentences or number lines. If students are asked to make decisions and justify their actions, a simple image holds powerful possibility.

Download the .pdf student handout to keep track of your students' fraction talk reasoning. Keep track of day number, question asked, sketch of diagram, and student reasoning.

If you have any specific lessons, classroom stories, or super creative ideas send them to fractiontalks at gmail dot com. Better yet: blog them, submit via the site or tweet the link to @FractionTalks, and they will be linked to the site. A number of classroom implementations can be found under the " In the Classroom" tab or at the Twitter hashtag #fractiontalks.

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My original blog post on Fraction Talks can be found . Fraction Talks are a built around classroom talk and student action. These two principles guide the teacher's questions, disposition, and facilitation of the activity. They can be become a daily routine, or used for entire lessons.