Tag Archives: problems

287. Post-It Hints

There are so many uses for post it notes … this is just one example

image

Image source: www.space.ca

But have you considered them as an extra tool in your SEN kit?

Students with Irlens syndrome benefit from coloured overlays, coloured glasses and coloured worksheets. Some students refuse to wear tinted lenses and depend on overlays. These students have developed coping strategies which work most of the time, but when they get stuck what do you do? If a concept needs a bit of extra explaining I usually grab a bit of standard white paper and run through it one-to-one. Obviously having coloured exercise books and paper would be great, but day to day teaching (and changing classroom) make this tricky.

So, what to do?

Well, you could write on white paper, then keep putting the overlay on top as you explain each step. It works, but it is a bit of a faff and draws attention to the fact the student uses an overlay. However, if you know a student benefits from coloured filters, keep a pack of appropriately coloured post-it notes to hand. The coloured background should quieten the movement of the writing on the paper, the note can be stuck in their book immediately and they don’t have to copy anything out.

Disclaimer: I am not an Irlens specialist. Post-it notes come in so many colours, however you may not find a perfect match to your students preference. This is about helping out in a mid-class situation, not replacing diagnosed resources.

16. Library Fines (Sequences)

image

County Library
The first day a book is overdue, you are charged 4p. Each day incurs another 4p.
What are the charges for the first week?
(4, 8, 12, 16, 20, 24, 28)
What is the Nth term?
(4N)
How much would you be charged for being 25 days late?
(100p)

Village library
The village library charges 10p for the first day and 3p for every subsequent day.
What are the charges for the first week?
(10, 13, 16, 19, 22, 25, 28)
What is the Nth term?
(3N+7)
What is the charge for 30 days?
(97p)
How many days late is one book if the fine is more than £2?
(Solve 3N+7>200)

Look back at both libraries. Under what conditions do the libraries have the cheapest fines?
(1-6 days: County Library
7 days: same
8+: Village library)

Extension
Why do the libraries have the same charge on the 7th day?
Prove it algebraically.
(Solve 3N+7=4N)

You can also extend this investigation to looking at calendar dates, with one library open 5 days a week and the other being open 6 days with fines only applying when libraries are open. How would this affect the ‘cheapness’ of fines when days are included?

Adaptations
This method can be used for car hire, mobile phone comparisons, energy bills because sequences link so well with graphs of real life problems.