Venn Diagrams

Mathematics, Learning and Technology

With Venn Diagrams on the new UK GCSE Mathematics specifications (an excellent addition I believe), and also on other exam specifications, I thought I would update an earlier post on Venn Diagrams and collect resources together.

CIMT Venn Diagrams CIMT Venn Diagrams

CIMT is one of my Top >10 websites for a very good reason – when I want additional examples for any topic at any level I can always find them on CIMT! Venn Diagrams is no exception to this, you can find Venn Diagrams in the student interactive resources here and the text chapter on Logic from the Year 7 text here; in sections 1.3 and 1.4 of the text you will find examples and exercises on set notation and Venn diagrams.

Nrich too can always be relied on to provide resources – a search on ‘venn’ returns these resources.

Nrich Venn Diagrams Nrich Venn Diagrams

teachitmaths Venn diagrams teachitmaths Venn diagram dominoes

From teachitMaths, try Venn diagram dominoes

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Learning Names

Mathematics, Learning and Technology

I have written on this before but something coming up again soon for UK teachers and no doubt many readers are already doing this – lots of new names to learn! Something we all need to do at the start of each year, learn the names of our classes as fast as we can! Certainly I think this is worth spending time on and should be a priority, we want our students to know that we know who they are!

Name card

I used name cards last year and will certainly use them again for the coming academic year. These are simple to make from an A4 piece of paper which can be folded in half and then folded in half again. Students can then write their name clearly on one side of the card. The other side of the card visible to the student could be a reminder of anything you want; the above…

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The Chinese Remainder Theorem

Will be using this with my 8s

IB Maths Resources from British International School Phuket


The Chinese Remainder Theorem is a method to solve the following puzzle, posed by Sun Zi around the 4th Century AD.

What number has a remainder of 2 when divided by 3, a remainder of 3 when divided by 5 and a remainder of 2 when divided by 7?

There are a couple of methods to solve this.  Firstly it helps to understand the concept of modulus – for example 21 mod 6 means the remainder when 21 is divided by 6.  In this case the remainder is 3, so we can write 21 ≡ 3 (mod 6).  The ≡ sign means “equivalent to” and is often used in modulus questions.

Method 1:

1) We try to solve the first part of the question, What number has a remainder of 2 when divided by 3,

to do this we list the values of x ≡ 2 (mod 3).  x = 2,5,8,11,14,17……


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