Goat Grazing

Goat Loci Problem

The wire stretched between the posts is 10m long and the goat's lead, which slides along the wire, is 4m long. What shape is the area of grass the goat can eat?

Can you accurately draw a plan view of the goat's grass eating area?

Extension: How many square metres does this area cover?

A Mathematics Lesson Starter Of The Day


Topics: Starter | Loci | Mensuration | Shape

  • Mr Flanagan, Co Down
  •  
  • A little difficult for primary classes due to the arcs.
  • Mrs Hustler, UK
  •  
  • Great problem solving question for higher GCSE students.

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Previous Day | This starter is for 6 March | Next Day

 

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter with a slightly different goat grazing situation.


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Laptops In Lessons

Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

Transum.org/go/?Start=March6

However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

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

Transum.org/go/?to=herding

Student Activity

 


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