## A Mathematics Lesson Starter Of The Day

Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid:

Teacher: Click on the dots above to show joining lines. Assume that the vertical and horizontal distances between adjacent dots is one unit.

A printable sheet for student use is available here.

A Flash version of the grid is here.

• CB, Kent
•
• I can find 10 different quadrilaterals (if you're allowed to count Big Square and Small Square). Areas - two 1s, two 1.5s, four 2s, one 3, one 4. Can't find the 2.5 at all. Am I missing something really obvious?
• 8K3, Kettlethorpe High School
•
• We found 11 which included the area of 2.5. (top left to top right to middle right to bottom middle to top left).
• Snev, Holy Trinity, Crawley
•
• There are 14 different quadrilaterals and their total area is 31.5 cm2 assuming the dots are 1 cm apart. (2x1)(4x1.5)(5x2)(1x2.5)(1x3)(1x4). The 2.5 cm2 quadrilateral joins dots 1,2,6 and 7.
• Louise And Laura., Carnoustie High School
•
• The problem was very challenging and we all enjoyed it. It was more challenging than Friday's.
• Claire, Sam And Mr A, Alcester High School
•
• We found 16 quadrilaterals, (5x1)(5x2)(3x1.5)(1x2.5)(1x3)(1x4)
Only took us 3 minutes too (-ish!).
• Nairn Spink, 2AY2, High School Of Dundee
•
• We really enjoyed it and I thought it really got us thinking, we are really pleased to do all the staters of the day
thanks
:).
• Yr 8 Tops, Rego School
•
• There should be quite a lot. My class managed about 30 so far.
• Yr9 QTY, West Island School, Hong Kong
•
• We enjoyed this - it kept us occupied for over 15mins.
• Mrbeer, Essex
•
• Surely with a parallelogram that crosses over the diagonals, the area is root 5 = 2.23?
• Charles, Chelsea
•
• My class found about 167 wow.
• A And F, Dps
•
• Our team got 32 different ways.
• Jelissa, Massachusetts
•
• It would be great if each quadrilateral could keep its own individual color, for a visual.

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Previous Day | This starter is for 22 March | Next Day

 1 square unit 1.5 square units 2 square units 2.5 square units 3 square units 4 square units

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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=March22

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=PinBoard

For Students:

For All: