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For younger learners

  • Early Years Foundation Stage

LOGO Challenge - Sequences and Pentagrams

Age 11 to 18
Challenge Level Yellow starYellow starYellow star
  • Problem
  • Teachers' Resources

Think about the procedure below.

Discuss with others and try evaluating the procedure BEFORE copying it out and experimenting further.

TO GROW :X :A

IF :A > 2000 [STOP]

PR :A

WAIT 15

GROW :X :X * :A

END

Try GROW 2 2 and GROW 22 2 as well as GROW 2 22 .

What will happen to GROW .2 2 or GROW 2 .2?

Can you construct alternative sequences that GROW?

While geometrically....

Can you elegantly complete the next stage of growth for this pentagram 'animal'?

What about the next stage after that?

pentangles

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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