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Biology Measurement Challenge

Age 14 to 16
Challenge Level Yellow starYellow star
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  • Think higher
  • Read: mathematics
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Consider these objects, images for which are given below:

  1. Mitochondria
  2. Arabis voch pollen
  3. Ring stage of Plasmodium falciparum
  4. Tuberculosis bacterium
  5. Human red blood cell
  6. Human nerve cell
  7. The eye of a needle
  8. Cat hair
  9. Snowflake crystal

How many do you recognise? Can you put them in order of length? Cross-sectional area? Volume? Once in order, how many of the smaller objects would fit into the larger objects?
 
Discussion point: What measurement difficulties does this task raise?
 
 
You can see the images, some of which contain scale information, below

Mitochondria

Mitochondria, mammalian lung - TEM (2)

Arabis voch pollen

Arabis voch1-1

Ring stage of Plasmodium falciparum

Plasmodium falciparum in Red Blood Cells

Tuberculosis bacterium

Mycobacterium tuberculosis 8438 lores

Human red blood cell

SEM blood cells

Human nerve cell

Myelinated neuron 

The eye of a needle

<missing image>

Cat hair

ESEM BSE cat hair No1194 10kV 1000x 680Pa

Snowflake Crystal

Snow crystals

The URLS of these beautiful images are as follows:

 

  • Mitochondria - https://commons.wikimedia.org/wiki/File:Mitochondria,_mammalian_lung_-_TEM_%282%29.jpg
  • Arabis voch Pollen - https://commons.wikimedia.org/wiki/File:Arabis_voch1-1.jpg  
  • Plasmodium falciparum - https://commons.wikimedia.org/wiki/File:Plasmodium_falciparum_in_Red_Blood_Cells.jpg
  • Bacterium (tuberculosis) - https://commons.wikimedia.org/wiki/File:Mycobacterium_tuberculosis_8438_lores.jpg    
  • Human red blood  - https://commons.wikimedia.org/wiki/File:SEM_blood_cells.jpg
  • Nerve cell - https://commons.wikimedia.org/wiki/File:Myelinated_neuron.jpg
  • Eye of a needle - https://commons.wikimedia.org/wiki/File:Eye_of_a_Needle.jpg
  • Cat hair - https://commons.wikimedia.org/wiki/File:ESEM_BSE_cat_hair_No1194_10kV_1000x_680Pa.jpg
  • Snow crystals - png: https://commons.wikimedia.org/wiki/File:Snow_crystals.png

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Ladder and Cube

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Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

More or Less?

Are these estimates of physical quantities accurate?

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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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