By the time I got to proportional reasoning in our scheme of work this year, my classes had already had quite a lot of experience in using the bar model for solving fraction problems. I started off by working through one of the superb lessons I had from the NCETM last year, which looks at proportional reasoning using a bar.
Exploring proportional reasoning18/5/2015
Tonight's post is another quick one about using ratio tables, this time for solving proportional reasoning problems. I've previously blogged about using them for percentage calculations and converting fractions to percentages, so thought that a post on general proportional reasoning was long overdue! Note: The ideas detailed in this post took a good few lessons to work through, and we supplemented the discussions with lots of related practice.
By the time I got to proportional reasoning in our scheme of work this year, my classes had already had quite a lot of experience in using the bar model for solving fraction problems. I started off by working through one of the superb lessons I had from the NCETM last year, which looks at proportional reasoning using a bar.
I chose this week's LOTW because it worked really well as a complete lesson with minimal planning and preparation. I'm a big believer in varying what pupils do in lessons, and I love card sorts, discussion work and all that jazz, but sometimes (particularly on a windy Monday afternoon), that also needs to include more "traditional" style lessons.
Pick of Twitter 09/05/15 and 16/05/1517/5/2015
Lots of brilliant stuff this fortnight! I'm adding all the fantastic lesson ideas and resources to the Resources by Topic index, but it's a very slow process. I'm hoping to get all the pages done for September 2015. I particularly enjoyed this week's #mathsTLP  I managed to miss the previous one as the bank holiday confused the days for me.
It seems that two years of shameless use of ratio tables have finally paid off; I saw three of my Year 11s independently tackle a non calculator percentages question like this today:
I'm not sure exactly how I would have taught this before I discovered ratio tables; I suppose just pray that they noticed a common factor of 8 in the numerator and denominator to get them to 4/10, then realise that they need to multiply numerator and denominator by 10 to get 40/100.
I've previously blogged about how useful I've found ratio tables for percentages of amounts, increases and decreases. but I'll also be adding this permanently to my repertoire for fraction and percentage equivalence from now on. It's incredibly helpful for those pupils who just refuse to look for factors other than 2! If you fancy giving it a go, you may be interested in this Master the Basics worksheet. You can find out about getting a site password here.
In the spirit of encouraging personal positive thinking, I've decided to start a new Sunday blog series on the best lesson I've taught the previous week.
This week my pick actually covers two lessons of work, and was delivered to my Year 9s on Thursday and Friday. To provide a bit of context, we're trialling the Mastery Pathway with KS3 this year, and pupils sat the Elementary 4 test on Tuesday, covering negative numbers, substitution and lots of fractions and decimals work. They passed the previous three tests pretty well, but this one caused some difficulties, with marks ranging from 30% to 70%. After doing a bit of analysis on the results, I decided that my first topic for reteaching would be working with fractions and decimals, particularly ordering and converting between the two representations.
Pick of Twitter 25/04 and 02/052/5/2015
As I was away in London last weekend visiting a friend and completely not thinking about school, here's a fortnight's worth of Twitter picks!

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