tag:blogger.com,1999:blog-969821499728229660.post4633488568169336473..comments2022-01-24T19:07:04.463-05:00Comments on Scaffolded Math and Science: Dividing Fractions by Fractions using Visual Models - 3 examplesScaffoldedMathhttp://www.blogger.com/profile/12991099683629425350noreply@blogger.comBlogger21125tag:blogger.com,1999:blog-969821499728229660.post-53048684805184968612021-10-14T17:29:42.499-04:002021-10-14T17:29:42.499-04:00For 1/8 divided by 1/4, you could change the probl...For 1/8 divided by 1/4, you could change the problem to 1/8 divided by 2/8, or "How much of 2/8 fit into 1/8?" The answer would be "Half [of 2/8 fits into 1/8." This is pretty much how you could think about dividing across for this problem, too. Dividing across will work for fractions where one denominator isn't a multiple of the second, but it gets messy. Here is an example:<br /><br />2/5 divided by 1/3<br /><br />numerator: 2/1 = 2<br />denominator: 5/3<br /><br />So then we have 2/(5/3). This is the quotient, but we still have to clean it up. We can "keep change flip" to 2/1 x 3/5 to find 6/5.ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-3274450979224844912021-10-14T17:18:02.731-04:002021-10-14T17:18:02.731-04:00How would you use a visual for an eighth divided b...How would you use a visual for an eighth divided by a fourth?<br />And how do you explain that dividing across can work? Is it just that there has to be a condition where the first denominator is a multiple of the second? Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-52991905486877508492021-08-15T13:09:04.415-04:002021-08-15T13:09:04.415-04:00I don't like to cancel like numerators and den...I don't like to cancel like numerators and denominators in the multiplication step. By rewriting the numerator as 4*6 and the denominator as 6*3 ==> (4*6)/(6*3) we can show that the factors actually divide out to equal 1. Sometimes students don't understand this. Marquerithahttps://www.blogger.com/profile/17615386631798290936noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-4673998749999122862021-05-01T15:58:21.297-04:002021-05-01T15:58:21.297-04:00Great post. Very well explained. Thanks a lot.Great post. Very well explained. Thanks a lot.Jordi Morillohttps://www.blogger.com/profile/06918207672469154878noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-88099781018629283072021-03-02T12:26:39.358-05:002021-03-02T12:26:39.358-05:00It's really my pleasure. I had a lot of fun pu...It's really my pleasure. I had a lot of fun pulling this post together. ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-79987429297117185722021-03-02T12:26:16.118-05:002021-03-02T12:26:16.118-05:00Yay! That makes me happy to hear:)Yay! That makes me happy to hear:)ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-66759092725210345372021-03-02T11:34:35.444-05:002021-03-02T11:34:35.444-05:00Thank you so much for sharing such nice illustrati...Thank you so much for sharing such nice illustrations. Appreciated.Anonymoushttps://www.blogger.com/profile/06056439940039475638noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-10658244585079200382021-01-05T07:24:15.149-05:002021-01-05T07:24:15.149-05:00Great job. My son love it!! Especially fraction mu...Great job. My son love it!! Especially fraction multiplication!! Eiriniphilhttps://www.blogger.com/profile/13457452560830469179noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-58826128924646891432020-12-16T14:09:44.897-05:002020-12-16T14:09:44.897-05:00I loved teaching rationals! I hope you are having ...I loved teaching rationals! I hope you are having a good year!ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-25367820114275771842020-12-16T12:40:30.895-05:002020-12-16T12:40:30.895-05:00I am glad I found this. My next unit is rational ...I am glad I found this. My next unit is rational expressions and my students need the fraction review.Anonymoushttps://www.blogger.com/profile/16745376018579223466noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-44649788790252071162020-11-18T18:43:02.372-05:002020-11-18T18:43:02.372-05:00I'm so happy to hear this, Mrs. Thomas. This w...I'm so happy to hear this, Mrs. Thomas. This was a concept I only learned in graduate school so it's shocking to me that kids are learning it now as early as 5th grade. I love hearing about your lightbulbs:) Makes me really happy. I hope you are having a great year!ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-11066150192339339362020-11-18T08:47:13.869-05:002020-11-18T08:47:13.869-05:00Thank you for these examples and visuals. I love t...Thank you for these examples and visuals. I love the visual of multiplying fractions with grids and overlaying the grids. I have been struggling to make sense of dividing fractions with area models. This makes light bulbs light up! I recently saw your last example done with the grids slid together and two of the blocks moved to fill in the spots. I have examined it from every angle and can find no mathematical justification for "Let's just move these blocks because it makes the model look better." Your explaination makes sense and I now understand what they were trying to show. Mrs. Thomashttps://www.blogger.com/profile/12031501004759020686noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-84518793291507383862020-10-28T11:32:06.921-04:002020-10-28T11:32:06.921-04:00:):)Anonymoushttps://www.blogger.com/profile/07316647986705582977noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-5647038869463711952020-10-27T12:09:00.814-04:002020-10-27T12:09:00.814-04:00:):)ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-63517525029640773862020-10-27T12:04:00.889-04:002020-10-27T12:04:00.889-04:00Honestly these show the best examples and its easi...Honestly these show the best examples and its easier :DAnonymoushttps://www.blogger.com/profile/07316647986705582977noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-27736095406546161482020-04-24T22:25:35.107-04:002020-04-24T22:25:35.107-04:00I'm assuming this is because YouTube is blocke...I'm assuming this is because YouTube is blocked? If there is a platform you can use, I am open to putting them there. My email is shana@scaffoldedmath.comScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-71254707586615106632020-04-24T22:24:28.067-04:002020-04-24T22:24:28.067-04:00:):)ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-14066626329293739992020-04-24T21:43:36.956-04:002020-04-24T21:43:36.956-04:00Is there any way you have these videos not on you ...Is there any way you have these videos not on you tube?Anonymoushttps://www.blogger.com/profile/04597839821454125350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-88362576288318247672019-11-11T22:50:27.136-05:002019-11-11T22:50:27.136-05:00Very informative post! I love the visuals. I'v...Very informative post! I love the visuals. I've taught math for many years and I don't think I could produce these visuals. Thank you for teaching something new to me!<br />Anonymoushttps://www.blogger.com/profile/08327946420632431149noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-9798800748133597662019-11-05T19:46:39.090-05:002019-11-05T19:46:39.090-05:00That is a great example. I think that if the kids ...That is a great example. I think that if the kids get comfortable with easier or real-life examples like yours then the concept sticks better when things get more abstract. Thanks so much for sharing.ScaffoldedMathhttps://www.blogger.com/profile/12991099683629425350noreply@blogger.comtag:blogger.com,1999:blog-969821499728229660.post-89670119784124430622019-11-05T19:24:02.476-05:002019-11-05T19:24:02.476-05:00Hi, I like to use the example that is you have 4 p...Hi, I like to use the example that is you have 4 pizzas and divide them in half, how many pieces do you have? Anonymoushttps://www.blogger.com/profile/13018885910533633227noreply@blogger.com