Intuitive Math: Part Part Whole Math in Preschool {Part Three}

Part Part Whole_1This post is the third in a series on encouraging intuitive math skills in preschool children.  If you would like to see the first post (Number Awareness and Recognition, 1-to-1 Correspondence, and Subitizing), you can view it here.  Activities for 5 and 10 Frames can be printed here.

There are 6 important number concepts that preschoolers need to have opportunities to explore through play in order to develop good math intuition skills.  This numbers post (Part Three} will concentrate on playing and learning with the concept of:  Part Part Whole.

6 Important Number Concepts for Preschool

Number Awareness and Recognition
One-to-One Correspondence
Subitizing
Anchors of 5 and 10
Part+Part=Whole
More Than, Less Than, or Equal To

PART PART WHOLE MATH in PRESCHOOL

When young children have had many opportunities to play with 5 and 10 Frames and can visualize (through subitizing) small groups of numbers, we can begin to offer opportunities to play with and explore the concept of Part Part Whole.

Part Part Whole_Blog 003COMPOSING NUMBERS – NUMBER BONDS – Number Bonds

Number bonds are the relationships between any number and the parts that make that number.   The basic concept of a whole number being made up by parts is central to addition; if children can see the parts, then they can add the parts together to make the whole.  Similarly, by taking away (subtracting) one of the parts from the whole, the children can find the missing part.

Materials needed:  One number bond printable for each child, a paper plate divided into three sections (two on the top as indicated in the photo above (PARTS) and one section on the bottom), and small manipulatives if desired (suggestions:  Unifix cubes, Legos, buttons, pony beads, small shells, etc.).

Prior to the activity:  Print the number bond cards and laminate for durability (clear contact paper will work if laminating supplies are not available).  Cut each of the cards apart.

The number bond cards above work with visualizations of the number parts (1-5) in order to form the numbers 1-10.   Invite your children to randomly pick two of the dot cards and place them inside the two boxes at the top of the paper plate.  When added together, those two parts will make up a whole.  Have the children add the dots (through subitizing or counting with manipulatives) to find what number card should be placed in the bottom section of the paper plate (WHOLE).

As children gain confidence in adding the parts to find the sum, we can help children understand the inverse relationship between addition and subtraction by placing one number card in the WHOLE section of the paper plate and just one dot card in the PARTS section of the paper plate.  The children must then find the missing PART (dot card) to complete the number bond.

Part Part Whole_Blog 002*Note – the blank Part Part Whole Template can also be used with manipulatives (or the children can write or use number stamps) to complete the worksheet. – Part Part Whole Blank Template

DECOMPOSING NUMBERS INTO PART PART WHOLE

Decomposing the Number 6

When decomposing numbers into the separate parts, there is a pattern.  Making vertical number lines will help your children visualize the pattern.  Our 4 yr. olds could see the pattern and found the same pattern works to decompose any number into parts.   Cut apart the individual cards (numbers 1-10 linked below) and place them in sequential order on a table or the floor.  In the photo, our kids were working with the Number Six Printable.

Decomposing the Number 7

Decomposing the Number 7

The number cards for decomposing #’s 1-10 are linked individually below.  For younger children, begin with the smaller numbers until the children can recognize the parts that make up each number before working with larger numbers.

Decomposing One

Decomposing Two

Decomposing Three

Decomposing Four

Decomposing Five

Decomposing Six

Decomposing Seven

Decomposing Eight

Decomposing Nine

Decomposing Ten

We hope your children enjoy playing with Part Part Whole Math in Preschool.  We’ll continue the Intuitive Math Series next week, with games for greater than, less than, or equal to.   To make sure you don’t miss any future posts, please take a moment to subscribe to our blog!

Posted in PreK, Preschool and Kindergarten Skills | Tagged , , , , , , , | Leave a comment

Spring Weather Theme for Preschool – Stained Glass Umbrellas & Sunshine Math

We’ve had over 49 inches of snow so far this winter!  Our preschoolers (and teachers) are anxiously awaiting spring’s arrival!  Just in the last month, we’ve gone from -23 degrees to a stormy 50 degrees outside today!  Our kids can finally see the grass peeking out from beneath all of the melting snow!   To celebrate the warmer temperatures, we made stained glass umbrellas and played with sunshine math.  We hope your children enjoy crafting and learning with us this spring!

Stained Glass Umbrella CraftStained Glass Umbrella Craft – Stained Glass Umbrella Template

Materials needed:  One umbrella template per child or craft (linked above), blue and yellow tissue paper, scissors, glue sticks, and clear contact paper.

Prior to the craft:  Cut out the umbrella from the template including the hole in the center.  The blue and yellow tissue paper should be cut into squares (see photo above).   Younger children will need assistance with cutting.

When the template and opening is cut, place the umbrella onto a piece of clear contact paper (sticky side up).   Invite the children to use the tissue paper squares to cover the opening in the umbrella.  Once the children are finished, cover the entire umbrella with another sheet of clear contact paper.  Older children can cut the umbrella shape out, but younger children will need assistance.

The stained glass umbrellas make wonderful spring weather crafts to display at home or in the classroom!

SUNSHINE MATH – a roll, count, and cover activity- Sunshine Roll_Count_Cover

Sunshine MathMaterials needed:  One sunshine math printable (linked above) per child, two dice, and bingo dot markers (or small items/manipulatives to cover the numbers).

Invite the children to roll 2 dice, count the number of dots, and cover the corresponding numbered sun with the chosen manipulative (or mark with a bingo dot marker).  When the children have rolled all of the numbers except for the number 1, have the children roll just ONE die until the number 1 is rolled.

For younger children:  Have the children roll only one die to begin the game; it will allow the children to concentrate solely on the numbers 1-6.  As the children gain confidence with counting and number recognition skills, add the second die to work with the numbers 1-12.

Spring Weather ThemeFor more Spring Weather activities for learning and play, see the SPRING WEATHER THEME for Preschool and Kindergarten now available via this blog.

Posted in Spring Weather Unit | Tagged , , , , , , , , | Leave a comment

@LOFT to Award Chicago #Teachers $1500.00 @LuckyMagazine

LOFT & Lucky Chicago Teachers ContestHELLO, CHICAGO TEACHERS…Enter for a chance to win the LOFT Best (Dressed) Teacher Contest.

Show LOFT and LUCKY MAGAZINE how you use your personal style to inspire your students for a chance to win a $500 LOFT gift card and a $1,000 classroom grant.

HOW TO ENTER:

1. Complete this 10-minute survey and submit an image of you in your favorite work outfit. Email both to promo@luckymag.com by March 3, 2014.

2. Finalists will be revealed and filmed at the LOFT + LUCKY “Chalk It Up To Style Event on March 20, 2014, from 5–7 PM, at the LOFT Michigan Avenue Store.

3. Finalists’ videos will be featured on the LOFT Facebook page from March 31, 2014 through April 6, 2014. The finalist with the most votes will win the grand prize.

Get exclusive teacher-only perks and more from LOFT just sign up here.

THE LOFT BEST (DRESSED) TEACHER GRANT WILL BE PRESENTED BY KIDS IN NEED FOUNDATION ON BEHALF OF LOFT.

NO PURCHASE NECESSARY. TO ENTER AND FOR FULL RULES, CLICK HERE. STARTS 12:01AM CT 2/13/2014 AND ENDS 11:59PM CT 3/3/2014. OPEN TO TEACHERS WORKING WITHIN THE CHICAGO CITY LIMITS WHO ARE LEGAL RESIDENTS OF CHICAGO, ILLINOIS 18 OR OLDER, EXCEPT EMPLOYEES OF SPONSOR, THEIR IMMEDIATE FAMILIES AND THOSE LIVING IN THE SAME HOUSEHOLD. VOID OUTSIDE THE STATE OF ILLINOIS, AND WHERE PROHIBITED. FIVE (5) FINALISTS: ARV OF PRIZE IS $150 EACH. ONE (1) GRAND PRIZE WINNER: ARV OF PRIZE $1,500, COMPRISED OF THE $500 GIFT CARD AND THE $1,000 GRANT ADMINISTERED BY KIDS IN NEED FOUNDATION. SPONSOR: CONDÉ NAST.

 

 

 

Posted in Giveaways | Tagged , , , , | Leave a comment

The Shape of My Heart by Mark Sperring – Creating a Friendship Star with Kids!

The Shape of My Heart by Mark SperringThe Shape of My Heart by Mark Sperring is adored by all of our kids!  We bought this book to use as a Valentine’s Day book, but it is a great one to read all year long!  The illustrations are delightful and invite the children to interact as each page is read.  It is a wonderful book to explore the various shapes that children encounter each day.  While the book is intended for a younger audience, children of all ages can learn from the book’s message.

FRIENDSHIP COLLAGE STARS – Friendship Stars

After reading the book and discussing all of the shapes the children can find, the Friendship Collage Stars make a great craft to extend the message of love and friendship.

Materials needed:  One large printable diamond from the file (linked above) for each student, scissors, and assorted items for decorating (suggestions:  colored tape, duct tape, stickers, scrapbook paper, paint, markers, crayons, stamps/stamp pads, construction paper, or tissue paper).

Friendship Collage Star Craft for PreschoolInvite the children to create by assembling a tray with the diamond shapes and any decorating materials/supplies desired.

When each of the children are finished decorating the diamonds, have the children come together to share.  Individually all of the children will have wonderful decorated shapes to share, but when the individual diamonds are joined, they become a FRIENDSHIP STAR!

Friendship Collage StarsThe stars can be as large (or small) as the number of children participating.   The FRIENDSHIP STARS make great displays at home or in the classroom for Valentine’s Day (or ANY day)!  Please note:  the second page of the file above contains smaller diamonds for the children to create their own friendship stars.  If desired, the smaller diamonds can create a pinwheel when joined (as pictured above) and attached with a brad to a straw.

The Shape of My Heart by Mark Sperring

 

 

Posted in Valentine's Day Theme Activities | Tagged , , , , , , , , | Leave a comment

Intuitive Math: 5 and Ten Frames in Preschool – Numbers {Part Two}

Intuitive MathIntuitive Math:  Encouraging Early Math Skills in Preschool – Numbers {Part Two}

This post is the second in a series on encouraging intuitive math skills in preschool children.  If you would like to see the first post, you can view it here!

There are 6 important number concepts that preschoolers need to have opportunities to explore through play in order to develop good math intuition skills.  This numbers post (Part Two} will concentrate on the two concepts (in bold below).

6 Important Number Concepts for Preschool

Number Awareness and Recognition
One-to-One Correspondence
Subitizing
Anchors of 5 and 10
Part+Part=Whole
More Than, Less Than, or Equal To

 Anchors of 5 and 10 – Subtizing and Beyond

Many parents (and some teachers) want to move quickly beyond the numbers 1-10. Preschoolers need many opportunities and invitations to play and practice with the numbers 1-10 to successfully grasp present and future math concepts.  When preschoolers understand that the numbers 5 and 10 are anchor numbers, math becomes meaningful.

Fingerplays and finger counting games offer fun ways to play with the numbers 1-10.  The idea is to invite your children to move beyond basic finger counting toward recognizing (intuitively, through subitizing) that one hand has 5 fingers and two hands have 10 fingers (without counting each individual finger).   **Note – to view information about Subitizing, see Numbers {Part One}.

Mental Math Games:  Invite your children to close their eyes and IMAGINE 5 fingers.  Ask the children to count all 5 fingers silently as they envision 5 fingers with their eyes closed.  Can they “see” all 5 fingers in their mind?  With our children, we play a circle game where each child chooses one MENTAL MOVEMENT for the fingers we are imagining (for ex:  MY 5 FINGERS are “Dancing in the night! Dance one finger, dance two, and so forth”)  Each child then envisions 5 fingers dancing and/or other movements the children think of. Repeat the same mental math game, but with 10 fingers.  Our kids love playing what they call:  “math brain games.”  Ask the children to retell their mental images; you’ll be amazed by the stories that are shared!  The children will often begin playing independently and asking their peers to play with them.  It is fun to observe how each of the children plays with mental math concepts; teachers and parents can learn a great deal about how our children “think math” simply by observing and listening to play.

Anchors of 5

Once children develop good Subitizing skills with the numbers 1-5, we can invite the children to play with math concepts and develop increased fluidity with the numbers 1-5.

The 5 Frame

5 FrameSome children are not exposed to only a 5 Frame.   Many parents, caregivers, and educators are familiar with 10 Frame activities, but preschoolers should concentrate solely on a 5 Frame before introducing 10 Frame Activities.

Once good Subitizing skills are developed, children will be able to look at the 5 Frame and have immediate recall of how many dots (or other objects) are located within the basic frame.

Intuitive Math_blog 002This problem: 5-2=3 is easy for children with good recognition of numbers with the anchor of 5.

5 Frame Practice – 5 Frames and Number Cards

Materials needed:  Blank 5 Frames and number cards (linked above) and small items or manipulatives (small shells, dot stickers, paper clips, unifix cubes, small blocks, etc.)

Cut the individual 5 Frames apart and set out on a tray or table along with any manipulatives desired.  Invite the children to cut out the number cards 1-5 and place them face down.  Have the children draw a card and place the corresponding number of manipulatives within the 5 Frame.  The last page of the file includes 5 Frame Dots to match to the corresponding number card with the visual in place.

Story problems:  To develop mental math, use everyday story problems with the children based on the anchor of 5.  Dylan had 5 crayons on the table.  Macie took 4 of them.  How many crayons did Dylan have left?   Invite the children to think of their own stories (story problems) based on the anchor of 5 only.  The story problems the children create can be used with the printable 5 Frames above.  Invite the children to write the appropriate equation for their number stories (or copy/stamp the equation with number stamps).

Again, playing with numbers does not require tangible manipulatives, but for some children, the tactile manipulative will enhance learning.

5 and 10 Frames

When children are able to manipulate the numbers 1-5 with consistency, combine two 5 Frames to help the children visualize the number 10 anchor.

Ten Frame

The problem below (ex: 10-4=6) is then very familiar to children who have good Subitizing Skills and 5 Frame awareness!

Intuitive Math_blog 005

10-4=6

What about the same problem (ex: 10-4=6) viewed in this manner?

Intuitive Math_blog 006

10-4=6

When young children thoroughly understand 5 Frames, no matter how the problem LOOKS, they will be able to intuitively “see” the answer within the 10 Frame.

10 Frame Practice and Number Cards – 10 Frames and Number Cards

The printable 10 Frames and Number Cards can be used for practice in the same manner as the 5 Frames above.

Next week, we’ll learn more about playing with the numbers 1-10 to help young children develop PART + PART = WHOLE awareness.  To make sure you don’t miss any post within the Math Series, take a moment to subscribe to our blog on the right!

Posted in Preschool and Kindergarten Skills | Tagged , , , , , , , , , | 2 Comments