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Exploring proportional reasoning

18/5/2015

 
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.

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LOTW 17/05/15 - Introducing compound interest

17/5/2015

 
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. 

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Pick of Twitter 09/05/15 and 16/05/15

17/5/2015

 
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.

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Fraction and percentage equivalence using ratio tables

15/5/2015

 
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:
Picture
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.

LOTW 10/05/15 - Comparing and ordering fractions and decimals

10/5/2015

 
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 re-teaching would be working with fractions and decimals, particularly ordering and converting between the two representations.

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Cambridge Mathematics GCSE for AQA review

5/5/2015

 
I had a nice surprise today; on my way to my classroom after lunch, our receptionist waved me over and hefted a heavy cardboard parcel into my hands. I had no idea what it was, so it was quite exciting to unwrap this free sample copy of the Cambridge Mathematics GCSE textbook that I'd completely forgotten I ordered at the Maths Conference in March.

I've just had a little peruse through, and as it's the first new GCSE book I've got my mitts on, I thought I'd write a quick post about first impressions for anyone who may be shopping for new textbooks for next year.

The outside's quite attractive, but it is a very hefty book - although it says "Student Book" on the front, I doubt there would be any scope for pupils carting this to and from school, and carrying a class set around school would certainly strengthen those biceps - kinda reemphasises just how much content will be in the new GCSEs.
Picture

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Pick of Twitter 25/04 and 02/05

2/5/2015

 
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!
  • @Nat_Numeracy posted a great puzzle using Pythagoras' theorem for those people who found Cheryl's birthday too easy. 
  • @PardoeMary posted a link to Visual Patterns, a site with a huge amount of scope for use when teaching sequences.
  • @StudyMaths reminded me how useful the site is for quick practice questions, particularly at this time of year for exam revision!
  • @solvemymaths made some great resources for geometric sequences following my plea for resources for new GCSE topics, and also provided me with a link to Euclid's Game (warning, it's addictive!).
  • @DrBennison posted his mathematical journey, which I enjoyed reading very much. I am going to do my own at some point!
  • @mathsjem posted this great joke for this week's #mathschat on "Funny or Punny Maths", with a reminder to subscribe to @aap03102's newsletter. 
Jo Morgan on Twitter
  • @mrbartonmaths posted a link to a fantastic BIDMAS murder mystery activity via the TES - I can't wait to try this one!
  • This cute little rhyme from @CmonMattTHINK:
Matt Enlow on Twitter
  • And finally, I was really pleased and quite humbled to get a mention in @mathsjem's Gems #28, which also lead me to discover @Stacy_Maths's website, Miss Brookes Maths - resource addicts need to check her site out!


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