1

2

3

4

5

• Arrange the numbers 1 to 5 in the squares so that the total of the row is the same as the total of the column
• How many different ways are there of doing this?
• What do you notice about the different ways of solving this problem?

## A Mathematics Lesson Starter Of The Day

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Topics: Starter | Arithmetic | Investigations | Puzzles

• Mairi Salters, Burwell VC Primary School
•
• I copy the pages onto a flipchart on the electronic whiteboard. That way the class can take their time at it, as we use it as a half-hour settling in activity rather than a starter to the numeracy lesson proper. I use it with a Year 4 clsas, so a lot of the starters are too advanced for them. However, they have got on well with the ones we have used. Would be delighted to see similar written specically for KS2!
• J.Hesmer, Filsham Valley
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• I found this an awful starter, it was incredebly difficult for my YEAR 7 group!
• L Martin, Canterbury
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• I tried it with my Year 7s. They did it in 20 seconds flat. We extended it to algebra, to prove it.
• L. Northern, Hayle School
•
• We had a long discussion, we found out that:
1. The middle number has to be odd
2. If all the numbers are odd or all the numbers are even, it will always work
3. When you chose a middle number, you have to have the smallest and largest above it, and the middle numbers either side.
We thought it was a good problem.
Hayle School Year 7 maths class.
• Susan, Australia
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• This lead beautifully into an activity about surface area - using the net.
• Nick, Holy Trinity, Weymouth
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• We found 24 combinations after doing some methodical thinking
Mrs Penn, Mr Corben and Year 5.
• Snowdon, Mrs Peters
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• Our Year 4,5 and 6 class really enjoyed this activity to start the day. Everybody was able to attempt the task and lots of children were successful!!
• Alison, Australia
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• I did this with my year 5/6 class and they loved it. It allowed all of the students to find at least one combination, while it extended the other to find more.
• Louise, Bolton
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• This starter was great. I did it with my YEAR 2 children and they found lots of ways to make different totals, using their reasoning skills to say why they could change the positions of the numbers. They loved it!
• Transum,
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• Thanks so much for all the comments. Don't forget to click on the link towards the bottom of this page to find the student version of this activity which has a number of different levels extending this puzzle for the those who enjoy a challenge.
•
• An engaging starter to provoke mathematical reasoning and critical thinking.
Although my students are weak mathematically, they were all able to have a degree of success and began to discuss possible theories.

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This starter has scored a mean of 3.4 out of 5 based on 528 votes.

Previous Day | This starter is for 3 June | Next Day

We found 24 different solutions. Are there any more?

 4 1 3 5 2

 4 5 3 1 2

 4 2 5 3 1

 4 3 5 2 1

 5 3 1 4 2

 5 4 1 3 2

 5 2 3 4 1

 5 4 3 2 1
 2 1 5 4 3

 2 4 5 1 3

 3 2 1 5 4

 3 5 1 2 4

 3 1 5 4 2

 3 4 5 1 2

 4 2 1 5 3

 4 5 1 2 3
 1 2 3 4 5

 1 4 3 2 5

 1 2 5 3 4

 1 3 5 2 4

 2 3 1 4 5

 2 4 1 3 5

 2 1 3 5 4

 2 5 3 1 4

Can you prove that the centre number has to be odd?

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## Have you read Craig's book yet?

Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

"How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

## Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=June3

Here is the URL which will take them to a multi-level version of this activity.

Transum.org/go/?to=Plus

For Students:

For All: