Quad Areas

A Maths 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.

A printable sheet for student use is available here.

A Flash version of the grid is here.


Topics: Starter | Area | Geometry | Investigations | Mensuration | Shape

  • CB, Kent
  • Sunday, March 15, 2009
  • "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
  • Tuesday, March 17, 2009
  • "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
  • Tuesday, March 17, 2009
  • "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
  • Friday, March 20, 2009
  • "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
  • Friday, March 20, 2009
  • "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
  • Wednesday, March 24, 2010
  • "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
  • Tuesday, March 22, 2011
  • "There should be quite a lot. My class managed about 30 so far."
  • Yr9 QTY, West Island School, Hong Kong
  • Tuesday, March 22, 2011
  • "We enjoyed this - it kept us occupied for over 15mins."
  • Mrbeer, Essex
  • Thursday, October 6, 2011
  • "Surely with a parallelogram that crosses over the diagonals, the area is root 5 = 2.23?"
  • Charles, Chelsea
  • Tuesday, March 20, 2012
  • "My class found about 167 wow."
  • A And F, Dps
  • Thursday, March 22, 2012
  • "Our team got 32 different ways."

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This starter has scored a mean of 3.3 out of 5 based on 90 votes.


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Answers

1, 1.5, 2, 2.5, 3, 4


Laptops In Lessons

Teacher, do your students have access to computers?
Do they have Laptops in Lessons or iPads?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here is the URL for a concise version of this page without comments or answers.

Transum.org/go/?Start=March22

Here is the URL which will take them to a similar open ended activity.

Transum.org/go/?to=PinBoard