tag:blogger.com,1999:blog-4242439961617529545.post8772728298424822374..comments2024-11-05T08:24:53.692+00:00Comments on Resourceaholic: New GCSE: RatioJo Morganhttp://www.blogger.com/profile/11919801458664779971noreply@blogger.comBlogger20125tag:blogger.com,1999:blog-4242439961617529545.post-68342354017487179592020-11-04T21:13:52.936+00:002020-11-04T21:13:52.936+00:00Hi Jo,
One method I use when teaching questions li...Hi Jo,<br />One method I use when teaching questions like the first one above (Alice gives 3 sweets to Olivia) is the following.<br />To begin with Alice has 7/10 of the sweets and then after giving three to Olivia, her share has reduced to 5/8 of the sweets. So Alice's share has reduced by (7/10 - 5/8=) 3/40 which is equivalent to 3 sweets, therefore there must be 40 sweets in total. Mohammed Rashidnoreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-29893932368564695362019-12-27T16:33:00.940+00:002019-12-27T16:33:00.940+00:00Good idea - thank you!Good idea - thank you!Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-47158157665688422952019-12-12T21:43:56.015+00:002019-12-12T21:43:56.015+00:00Hi Jo, thanks for the post which I came across via...Hi Jo, thanks for the post which I came across via a tweet you put out a couple of days ago - which also tied in with a question and the same method I saw in my step-daughters book the very next day - freaky! It is a more compact method than I would normally use in my teaching and will be switching to it. <br />I think the only tweak I might make is to write the algebra ratio above the numeric FudgeMathshttps://www.blogger.com/profile/06883977565697285794noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-72310950970890709842018-02-27T18:47:10.313+00:002018-02-27T18:47:10.313+00:00Although some bar modelling experts would disagree...Although some bar modelling experts would disagree, I don't think bar modelling is intuitive/helpful for harder ratio questions. Bar modelling is fantastic for easier ratio questions, but when the questions get more complicated it's often really hard to figure out how to draw the scenario - definitely not as easy as some people make out!Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-81836709653636846582018-02-26T14:59:21.431+00:002018-02-26T14:59:21.431+00:00Oops, my mistake, third example should be .....in ...Oops, my mistake, third example should be .....in 26 years time the ratio of their ages is 5:7 .....<br />I did try to represent these using bar modelling at first but struggled to find a model that was intuitive and actually helped with the question. I would be grateful if anyone has ideas on this.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-1146060447225949712018-02-25T09:57:12.536+00:002018-02-25T09:57:12.536+00:00Thanks for the comment!Thanks for the comment!Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-8719233838852370572018-02-25T09:56:08.230+00:002018-02-25T09:56:08.230+00:00Thanks! Glad it's helpful.Thanks! Glad it's helpful. Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-5165780707945669872018-02-25T09:55:07.226+00:002018-02-25T09:55:07.226+00:00Thank you! Yes, this is logical. Same approach as ...Thank you! Yes, this is logical. Same approach as bar modelling (but without the visual).Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-23150010433319465452018-02-25T09:53:15.321+00:002018-02-25T09:53:15.321+00:00Love this! Thanks for sharing.Love this! Thanks for sharing.Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-15075197682079717312018-02-22T19:55:52.530+00:002018-02-22T19:55:52.530+00:00Thanks Stephen. I guess it makes sense, as the fra...Thanks Stephen. I guess it makes sense, as the fraction lost is equivalent to the 3 sweets divided by the total.Anonymoushttps://www.blogger.com/profile/10091107140803798053noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-41698499276365663252018-02-21T21:51:59.797+00:002018-02-21T21:51:59.797+00:00Hadnt considered tis method but I love itHadnt considered tis method but I love itCavhttps://www.blogger.com/profile/08497166692282461180noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-31392811714383374562018-02-21T21:51:08.710+00:002018-02-21T21:51:08.710+00:00This is the approach I use. I think it's logic...This is the approach I use. I think it's logical.Cavhttps://www.blogger.com/profile/08497166692282461180noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-19687079668177440902018-02-21T19:07:50.930+00:002018-02-21T19:07:50.930+00:00Thank you for the post. Brilliant as usual.
I ac...Thank you for the post. Brilliant as usual. <br /><br />I actually did the sweets question in my class once. I simply said that Alice fraction of sweets changed from 7/10 to 5/8 when she gave the 3 sweets away. If we just subtract those fractions, the fraction remaining, 7/10 - 5/8 = 3/40. This means that Alice originally had 40 sweets.Anonymoushttps://www.blogger.com/profile/10091107140803798053noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-69079407478488551412018-02-21T15:49:15.114+00:002018-02-21T15:49:15.114+00:00I've been using equivalent ratios for these ty...I've been using equivalent ratios for these type of questions.<br />Find what doesn't change - the total number of sweets.<br />Write ratios as equivalent ratios where the parts that doesn't change are the same.<br />3:7 has 10 parts, 3:5 has 8 parts<br />LCM of 8 and 10 is 40<br />Ratios are 12:28 and 15:25<br />Number of sweets given is 3.<br /><br />Also works for following Anon.https://www.blogger.com/profile/14712929789611543148noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-46235223733568944252018-01-15T17:40:32.708+00:002018-01-15T17:40:32.708+00:00This is a fabulous resource on work that is missin...This is a fabulous resource on work that is missing from the new GCSE texts that I have seen. Lovely challeging questions to make students think.madoldbathttps://www.blogger.com/profile/00561646734548329173noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-10147988804082203662018-01-12T00:13:08.695+00:002018-01-12T00:13:08.695+00:00On your fractions approach, a quick trick is to re...On your fractions approach, a quick trick is to realise that a/c = a/b x b/c. Makes it quite quick to work out (That is, if the students are good with cancelling down when multiplying).<br /><br />However, what I find confuses students about writing ratios as fractions is that it confuses the part:part idea of a ratio with the part:whole idea of a fraction. Perhaps that's why it's Anonymoushttps://www.blogger.com/profile/08664253310166941337noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-86322936754534938142017-12-22T13:25:38.008+00:002017-12-22T13:25:38.008+00:00Excellent, I'm so pleased it helps.Excellent, I'm so pleased it helps. Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-56993369164729159482017-12-22T08:44:10.245+00:002017-12-22T08:44:10.245+00:00Thanks so much for your blog on ratio question typ...Thanks so much for your blog on ratio question types. Although I've been a maths teacher/tutor for over 30 year, ratio has always been a bug bear for me. I could wing it with old style gcse because I learnt the types of solutions required, however I have been stressed on the new types. This blog has made me think through ratios and I am certainly a lot happier.<br />BryanABC Training Solutionshttps://www.blogger.com/profile/05233364829030815683noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-75635759487433285412017-12-21T08:15:51.793+00:002017-12-21T08:15:51.793+00:00Fantastic! Thanks Ken.Fantastic! Thanks Ken.Jo Morganhttps://www.blogger.com/profile/11919801458664779971noreply@blogger.comtag:blogger.com,1999:blog-4242439961617529545.post-39785165384118618922017-12-21T01:18:32.805+00:002017-12-21T01:18:32.805+00:00My ratio pages don't get much attention - not ...My ratio pages don't get much attention - not sure why since I think they're instructive and easy to use. They don't support the particular type of harder questions described in the post (but I'll look to add something along those lines), but they do help understanding the concept of a ratio and it's utility.<br /><br />Manipulation of ratio quantities: http://thewessens.net/Anonymoushttps://www.blogger.com/profile/14884628404032119471noreply@blogger.com