Hands-On Ways to Teach Fractions

Updated on February 12, 2018
jimmielanley profile image

Homeschool mother who works from home in the field of social media marketing.

Making Fractions Easier and Fun

Understanding fractions is a critical foundation of math learning. But despite their daily frequency in our lives, fractions can be difficult to grasp. Not surprisingly, research shows that to master fractions, students need multiple opportunities to practice with many varied representations of fractions. So a one time activity of cutting up a Hershey bar into smaller squares, although great fun, may not be enough to truly cement the understanding of how fractions work. By all means, cut up chocolate bars, pizzas, and pies. And add even more activities such as the ones featured here.

The Activities

Our introduction to fractions was baking cookies. I had my daughter "Sprite" in the kitchen with me helping when I realized that she didn't even know how to read "1/2 cup" much less understand what 1/2 cup meant. She kept saying 112 cups of sugar. Right then and there I decided that we must begin our study of fractions. The future of baking was at stake!

Using a recipe and well marked measuring cups and spoons are a great introduction to fractions in a most practical way. Try making homemade pizza crust, brownies, or cookies, something that will motivate your child to get involved. This kind of learning is the best -- it's hands on and it's real. I mean, dinner or at least dessert, is at stake.

Double or halve the recipe for a more advanced fractions activity.

To prepare for more fractions experiences, I looked in my favorite math resource --Family Math--and found a great introductory fraction activity. It required our making homemade fraction strips and a die. I cut long strips from several different colors of A3 (11x17") cardstock. One was left whole and labeled as such. Then each strip was folded and cut to create fractions: halves, fourths, eighths, and sixteenths. Each individual piece was labeled with words and numerical symbols (ie one half and 1/2).

This physical construction of the fraction strips is essential for a child to understand where the numbers are coming from. She can see that by dividing a strip into two pieces I get two halves -- the denominator is a 2. If I cut the strip into four pieces then I have four fourths -- the denominator is a four. Then it becomes obvious that the larger the denominator, the more pieces the strip is divided into and thus the fraction piece is smaller. You probably won't have to explicitly say this because your child will figure it out.

We made a super big die from a cube template printed onto cardstock. Another option would be making a fractions spinner from the tool at SEN Teacher.

Then we took turns rolling the die and picking up the fraction we rolled. The first person to a whole was the winner! On another day, we started with a whole and subtracted the fraction that was rolled. This activity involved rearranging the fractions, say exchanging a fourth for four sixteenths so that we could then subtract one sixteenth. We played this game many times over the course of a couple of weeks.

Then we played the Fraction Action board game. (Sorry, this is no longer available online.)

These are the Fraction Pieces you can print from 4th grade Teaching Tools at EduPlace.

Each player had a set, and we gambled the fractions. First someone set the ante and everyone met it and called heads or tails. Then she tossed the coin. If two players both were correct, then the pot had to be split evenly (leaving any remaining indivisible fractions in the pot).

Fraction Bingo can be found at 3rd grade Teaching Tools at EduPlace. This is an adding exercise formatted in the classic standby game.

We played even more games with the fraction game boards and spinners also at 3rd grade Teaching Tools at EduPlace. There are no directions, so just be creative and come up with your own games, identifying, adding, subtracting, and ordering fractions. Or give the pages to your child and let him come up with a game!

Then we recycled one day's fraction pieces into the next day's notebooking page. I had Sprite create fraction equivalents by taping the pieces onto paper, for example one half equals eight sixteenths. This is a hands-on, self checking activity because the pieces should match in size if they are equivalent.

Fractions can be parts of wholes or also segments of a collection. To illustrate that, I had my daughter select a handful of her tiny clay foods. We sorted them into categories -- drinks, desserts, fruits, etc. (I did add a couple of extra items so that we'd have a nice total figure of 24.) Then we made fractions with the divided categories. We even reduced the fraction 6/24 to 1/4 after reorganizing the items to clearly show that the group of six was actually one fourth of the entire collection.

Then we also looked at fractions as points on a number line by organizing whole and mixed numbers in order from smallest to greatest. I'm not sure why, but the concept didn't seem to click with Sprite until I added a zero piece as an anchor. So be sure to include a zero in your numbers.

Family Math (Equals Series)
Family Math (Equals Series)

I am a huge fan of this book! The activities are arranged by concept so you can find a game to teach just what you need. There are clear directions and many reproducible pages. I've turned to this book again and again.

 

Numerator and Denominator -- Fraction Vocabulary

Are these words important for mastering fractions?

The vital part of the fractions games is internalizing the concepts of what fractions are and how they work. Once you understand what that number on the bottom actually does, it's a lot easier to assign it its proper name. So, yes, teach numerator and denominator by speaking these words during your game playing. But don't get too upset when your child reverts to "the number on top."

The I Hate Mathematics! Book (A Brown Paper School Book) (Brown Paper School Books)
The I Hate Mathematics! Book (A Brown Paper School Book) (Brown Paper School Books)

I love this book! And better yet, my daughter does too. This is one of the few math books she actually reads on her own. A great investment!

 

Wrap Up Assignment - Math Notebooking Page

As a wrap up of all we'd studied, I gave Sprite a blank notebooking page and asked her to tell write her answer to this question in words, numbers, or pictures -- "What is a fraction?" Her answer included definitions and many examples plus a few diagrams. This page then went into her math notebook for reference.

Family Math: The Middle School Years

I've loved Family Math so much that it's just natural to graduate up to the middle school version.

Family Math : The Middle School Years, Algebraic Reasoning and Number Sense
Family Math : The Middle School Years, Algebraic Reasoning and Number Sense

Ages ten to fourteen are the gateway years our children's advanced mathematics education. Family Math: Middle School Years contains provocative investigations to captivate older students. Together, families unlock the mystery of algebra with entertaining, nonthreatening activities. One favorite activity is called Flowerpots. By creating a garden with beans, squares, triangles, and circles, families practice the algebraic topic of solving simultaneous equations in two and three unknowns. Everyone will enjoy activities such as Maya Mathematics, Postage Problems, Four-Sock Drawers, and Math Behind the Trick. Using this book will increase student readiness for high school mathematics course work.

 

Questions & Answers

    Hands-on Fractions Guestbook

      0 of 8192 characters used
      Post Comment

      • homeschoolsonya profile image

        Sonya Chappell 

        4 years ago from UK

        Hands-on is definitely the way that works for us and I really like the resources you have on here. Warm wishes Sonya

      • RestlessKnights profile image

        RestlessKnights 

        4 years ago

        I totally agree that hands-on is the way to go when teaching fractions, at least for many students.

      • profile image

        kepezzo 

        5 years ago

        Just today coworker was explaining how he was using chocolate to speed up the process of learning fractions. It is really abstract to learn fractions......great lens.

      • profile image

        LearningWithMeaning 

        5 years ago

        I agree - the more ways we can present this material, the better! Fractions are so important because we really do use them every day. If you have a iPad, I found a great app called "Pizza Fractions". It's great because it is SO SIMPLE. It is just fractions, no extra bells and whistles like many iPad apps. It is a great activity when kids need a break from pencil and paper.

      • shayriana profile image

        shayriana 

        5 years ago

        What great idea's for learning fractions. Thanks for sharing.

      • profile image

        anonymous 

        5 years ago

        Great worksheets. Thank you for these worksheets

      • profile image

        anonymous 

        5 years ago

        Thanks for sharing these ideas. As a Yr4/5 teacher having different ideas or activities to help cement the idea of fractions and how we use them in our everyday lives enriches the lives of the students I teach and hopefully allows them to understand the concept of fractions.

      • Freestuffer LM profile image

        Freestuffer LM 

        6 years ago

        Very educational. Thanks for sharing. :)

      • srsddn lm profile image

        srsddn lm 

        6 years ago

        The teaching of mathematical concepts is becoming more and more innovative. It is satisfying that there is more involvement of students and even teachers in understanding these concepts. Lens is a good resource.

      • profile image

        anonymous 

        6 years ago

        Thank you for this resource, it is a big help. I have had some luck having my kids measure out all the measures on a 1 cup measurement and pour into the same size glasses then color with food coloring. We observe the quantities from all the angles and then "test" amounts by pouring back into measuring cup. They like it and they will repeat this hands on activity with different variations.

      • Tradeshowhobo profile image

        Tradeshowhobo 

        6 years ago

        More teachers need to use practical application when teaching fractions. Great lens.

      • MisterJeremy profile image

        Jeremy 

        6 years ago from Tokyo, Japan

        Came back to this lens via your blog, looking for some good activities to teach my third graders fractions. Great stuff here!

      • DrBillSmithWriter profile image

        William Leverne Smith 

        6 years ago from Hollister, MO

        Enjoyed the lens... been a long time since I studied fraction... even got a Math B.S. degree many years ago... learning has changed; seems to be working fine. Keep up the good work. Appreciate the lens and your sharing! ;-)

      • brando87 profile image

        brando87 

        6 years ago

        very inventive. I used to tutor primary aged children. I used to use jelly beans sometimes.

      • profile image

        theCNAtraining 

        6 years ago

        fractions is pretty cool. we use simple fractions every day of our lives! something important to learn and to be able to do your head for faster calculations.

      • vividviolet profile image

        vividviolet 

        6 years ago

        this will be useful... thanks

      • profile image

        anonymous 

        6 years ago

        I loved this! Wish I had seen this when I was homeschooling. I'm now a teacher in the public schools, and developed some great lesson plans using your page. Thanks for sharing!

      • profile image

        jimmyworldstar 

        6 years ago

        The only thing I remember about fractions is making the denominator equal to the other ones.

      • profile image

        KarenCookieJar 

        7 years ago

        Fractions are easy.... with a CALCULATOR! ha

      • joycecity lm profile image

        joycecity lm 

        7 years ago

        very creative!

      • JodiFromFlorida profile image

        JodiFromFlorida 

        7 years ago

        This would be great for homeschooling. Very educational lens!

      • Teddi14 LM profile image

        Teddi14 LM 

        7 years ago

        Great job!

      • franstan lm profile image

        franstan lm 

        7 years ago

        Blessings on this lens. Fractions are a difficult concept for children to grasp but you have made it so easy.

      • HealthfulMD profile image

        Kirsti A. Dyer 

        7 years ago from Northern California

        I always thought pies were a good way to teach fractions. Of course kids learn quickly if 1/2 of a cookie is more than a whole cookie, especially if they are eating one. I put measuring cups in the tub so the girls to measure water.

      • LisaAuch1 profile image

        Lisa Auch 

        7 years ago from Scotland

        I ave had a quick scan through and I am going to bookmark this for tomorrow (late here) and will come back tomorrow with my daughter, as this is exactly what we need to crack fractions! for her starting the new term! I should have known you would have had what I needed ;-) Thanks jimmie!

      • kerbev profile image

        kab 

        7 years ago from Upstate, NY

        We did some with legos. We sorted them like you did with your foods. It also worked well to see spatially by comparing a blog that is 2x6 and saying what it we split it into 6 pieces - then putting together 6 blocks 2x1. One being a different color is 1/6th. Then what if we split our big blog into 12 pieces. We put together 12 blocks 1x1. We have to make 2 of those blocks a different color to match the other, visually seeing that 1/6 = 2/12. (easier to see than tell - which is exactly why it works).

      • profile image

        iRenew 

        7 years ago

        This is good stuff. I think you really have to teach with manipulatives to get it right! Rulers and measuring cups are my favorites.

      • profile image

        JoshK47 

        7 years ago

        Great ideas - I kind of wish my mom had been as creative with my curiculum when I was being homeschooled. :)

      • TeacherSerenia profile image

        TeacherSerenia 

        7 years ago

        Maths was never my strong point, but this lens has some excellent ideas and resources for learning about fractions. Thank you.

      • AlisonMeacham profile image

        AlisonMeacham 

        7 years ago

        This is just what I was looking for to inspire my son to learn about fractions. Squid Angel Blessings to you

      • RetroMom profile image

        RetroMom 

        7 years ago

        Very nice. Teaching match to children is really difficult. But if you teach them in a creative and fun way, they will surely learn.

      • sushilkin lm profile image

        sushilkin lm 

        7 years ago

        Thanks for sharing your knowledge. Keep sharing always. Please PRAY for JAPAN by visit on Squidoo!!

      • LouisaDembul profile image

        LouisaDembul 

        7 years ago

        My daughter just started learning fractions in school, so this will be very handy! Think I like the baking tip....must make sure mummy has a steady supply of cookies!

      • Philippians468 profile image

        Philippians468 

        7 years ago

        i love teach fractions with cards and shapes! great work on the lens! cheers

      • hsschulte profile image

        hsschulte 

        7 years ago

        This is most excellent! I am going to do this with my boys. We homeschool also.

      • profile image

        anonymous 

        7 years ago

        Thank you for sharing this. I need to go over fractions and your suggestions are very helpful. I have the Mega-Fun Card-Game Math but had not heard of some of the other books you suggested. Thank you!! :D

      • Blackspaniel1 profile image

        Blackspaniel1 

        7 years ago

        Nice lens. Just joined your fan club.

      • eclecticeducati1 profile image

        eclecticeducati1 

        7 years ago

        Great ideas! Thank you. Blessed by an April Fools Angel. :)

      • sorana lm profile image

        sorana lm 

        7 years ago

        Excellent activities for learning fractions. Lensrolled to my How to Learn Fractions lens.

      • GonnaFly profile image

        Jeanette 

        7 years ago from Australia

        Great ideas. This lens has been blessed by the maths angel and added to my best maths resources lens.

      • Ann Hinds profile image

        Ann Hinds 

        8 years ago from So Cal

        As a parent of a 4th grader, this is a great site with lots and lots of helpful information and tools. You bet this got and Squid Angel blessing, it is going to be a blessing for me.

      • profile image

        anonymous 

        8 years ago

        I think cooking or anything to do with food is a great way to teach kids fractions. This is a very good resource for anyone trying to teach their kids fractions, nicely done.

      • JoyfulPamela2 profile image

        JoyfulPamela2 

        8 years ago from Pennsylvania, USA

        We have many homemade fraction manipulatives that we have used, but you have some new varieties! Thanks for sharing them. :D

      • profile image

        anonymous 

        8 years ago

        You may want to clarify that in the NC Dept of Pub. Ed. page you have for coloring in the squares in fraction ways, that it came from Grade 4 on that page.

        Thanks so much for this help!

      • profile image

        anonymous 

        8 years ago

        THANK YOU! This is JUST the help I need for my son. -a homeschooling m-wife in Nepal

      • profile image

        anonymous 

        9 years ago

        here are the fraction cards I printed to use: http://www.helpingwithmath.com/resources/oth_flash...

        and I thought this little chart was snazzy for showing equivalent fractions

        http://www.helpingwithmath.com/printables/others/l...

      • profile image

        anonymous 

        9 years ago

        JIMMIE you've done it again! (and I didn't even realize this was your lense until I started reading through it and saw Sprite's name!) Thank you for taking the time to post your resources. We're rowing Lentil right now and fractions are being introduced this week. I started with Legos yesterday. We related an 8 dot brick to a whole note, a 4 dot to a 1/2 note and a 2 dot to an 1/8 note. I've printed out some fractions cards w/ both the numeral and the physical representation and I'm going to have the kids use legos to copy and then I'm planning to use the Sen teacher dice you linked. If I find anything cool, I'll sure report back! THANK YOU again for helping me be a better teacher!

      • joanhall profile image

        Joan Hall 

        9 years ago from Los Angeles

        Great pictures and activities. I'm adding this to a math lensography I'm putting together.

      • profile image

        Andy-Po 

        9 years ago

        Great ideas. I've done some maths teaching over the years (I'm a physicist) and I found it difficult to understand why people didn't understand fractions, which made it hard for me to teach the subject to people who didn't get it. Thanks.

      • TonyPayne profile image

        Tony Payne 

        9 years ago from Southampton, UK

        Great lens and guide to fractions. I know this used to fox me years ago, and I had to teach them to my Mom since she didn't understand them either. 5***** for a great study guide.

      • profile image

        anonymous 

        9 years ago

        This is fantastic! I don't cover fractions in the age group I teach, but it is great to have a reference in case a child is interested in them :)

      • hlkljgk profile image

        hlkljgk 

        9 years ago from Western Mass

        great ideas! thanks for all of your hard work on this lens.

      • profile image

        anonymous 

        9 years ago

        You have mentioned many books which I already have so I am going to look for the others you recommended. Thanks so much!

        Kathy

        http://www.kathalog.com

      • groovyoldlady profile image

        groovyoldlady 

        9 years ago

        "Sprite" is very fortunate to have such an involved and creative mom/teacher!

      • evelynsaenz1 profile image

        Evelyn Saenz 

        9 years ago from Royalton

        You beat me too it! I was just about to start a lens on fractions.

        Yours is the best! I love all those wonderful, hands-on activities especially the clay food fractions.

        You can also make recipes using colored blocks for the ingredients. For example: In Baby Bear's Porridge 2/3 of the berries are blueberries. In Mama Bear's Porridge 1/4 of the berries are raspberries. etc.

      • religions7 profile image

        religions7 

        9 years ago

        Sounds like a great way to introduce fractions - I do hope (being a math teacher ) that you will progress to decimal numbers and make sure to come back to adding and substracting in later years. I recently had two high school students to tutor and neither of them had a sense for the simplest math tasks - like dividing 354 by 1000 - had to use a calculator.

      • profile image

        aj80 

        9 years ago

        Some excellent tips. Thank you for sharing.

      working

      This website uses cookies

      As a user in the EEA, your approval is needed on a few things. To provide a better website experience, wehavekids.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

      For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: https://wehavekids.com/privacy-policy#gdpr

      Show Details
      Necessary
      HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
      LoginThis is necessary to sign in to the HubPages Service.
      Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
      AkismetThis is used to detect comment spam. (Privacy Policy)
      HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
      HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
      Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
      CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
      Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
      Features
      Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
      Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
      Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
      Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
      Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
      VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
      PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
      Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
      MavenThis supports the Maven widget and search functionality. (Privacy Policy)
      Marketing
      Google AdSenseThis is an ad network. (Privacy Policy)
      Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
      Index ExchangeThis is an ad network. (Privacy Policy)
      SovrnThis is an ad network. (Privacy Policy)
      Facebook AdsThis is an ad network. (Privacy Policy)
      Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
      AppNexusThis is an ad network. (Privacy Policy)
      OpenxThis is an ad network. (Privacy Policy)
      Rubicon ProjectThis is an ad network. (Privacy Policy)
      TripleLiftThis is an ad network. (Privacy Policy)
      Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
      Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
      Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
      Statistics
      Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
      ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
      Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)