Difference between revisions of "Spike Prime - Fractions with Gears"

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<small>(''[[Spike up Prime Interest in Mathematics|back to list of projects]]'')</small>
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== Let's begin ==
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Fractions...
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== Build ==
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Model:
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[[Image:fractions_with_gears_v3_rendered_even_more_slow.png|version 1 - basic|300px]]
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[[Image:fractions_with_gears_v2_rendered_rotated_gearframe_of_v1.png|version 2 - rotated gearframe of v1|300px]]
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[[Image:fractions_with_gears_v1_rendered_basic.png|version 3 - even more slow|300px]]
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Pictures:
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[[Image:fractions_with_gears_v1.jpg|fractions with gears - version 1 - basic|500px]]
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[[Image:fractions_with_gears_v1_another.jpg|fractions with gears - version 1 - basic|500px]]
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[[Image:fractions_with_gears_v3.jpg|fractions with gears - version 3 - even more slow|500px]]
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Building instructions:
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* [[Spike Prime - Fractions with Gears v1 - Basic - Building Instructions|Fractions with Gears - version 1 - Basic (PNG)]]
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* [[Spike Prime - Fractions with Gears v2 - Rotated Gear Frame of v1 - Building Instructions|Fractions with Gears - version 2 - Rotated Gear Frame of v2 (PNG)]]
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* [[Spike Prime - Fractions with Gears v3 - Even More Slow|Fractions with Gears - version 3 - Even More Slow (PNG)]]
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Download building instructions:
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* [[Media:fractions_with_gears_v1_basic.pdf| Fractions with Gears v1 - basic (pdf)]]
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* [[Media:fractions_with_gears_v2_rotated_gearframe_of_v1.pdf| Fractions with Gears v2 - Rotated Gear Frame of v1 (pdf)]]
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* [[Media:fractions_with_gears_v3_even_more_slow.pdf| Fractions with Gears v3 - Even More Slow (pdf)]]
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Download stud.io model:
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* [[Media:fractions_with_gears_v1_basic.io|Fractions with Gears v1 - basic (stud.io)]]
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* [[Media:fractions_with_gears_v2_rotated_gearframe_of_v1.io|Fractions with Gears v1 - Rotated Gear Frame of v1 (stud.io)]]
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* [[Media:fractions_with_gears_v3_even_more_slow.io|Fractions with Gears v3 - Even More Slow (stud.io)]]
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...description...
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Connections:
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* motor - B
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* light sensor - A
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== Programs ==
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[[Image:spike_fractions_with_gears_prg.png|program]]
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Download:
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* [[Media:fractions_with_gears.llsp|fractions_with_gears.llsp]]
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...description...
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== Measure, analyze, think ==
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<youtube>yDSrpkoM6_M</youtube>
 
<youtube>yDSrpkoM6_M</youtube>
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* Make your own recording
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* Perform experiments with your model and discuss in your group what has happened.
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== Explore and modify ==
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* Pick one of the three versions, build it
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* Make your own drawing of the gear systems (i.e. on paper)
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* Write down the numbers of teeth on each pair of the gear wheels
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* Figure out the ratio of each pair of gear wheels
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* Make or calculate your guess about the final ratio of gear wheels
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* Perform measurement with the model and program and compare
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* Try to invent some other combinations of gears, repeat the whole procedure with them (this can be an alternative project for an advanced group instead of the above)
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* Could you list all the possible combinations using these 8 gear wheels that could be built?
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== Present ==
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* Think about a manual transmission in cars, how does it work? And how does automatic transmission work?
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* What do fractions have to do with the car transmission?
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* Is it only the speed of rotation that is being changed in the gear box? What else?
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== Additional resources ==
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* Download: [http://robotika.sk/spike/spike_math_8_fractions_with_gears.zip Fractions with Gears - all media files]
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__notoc__

Latest revision as of 11:10, 20 July 2022

(back to list of projects)

Let's begin

Fractions...

Build

Model:

version 1 - basic version 2 - rotated gearframe of v1 version 3 - even more slow

Pictures:

fractions with gears - version 1 - basic fractions with gears - version 1 - basic fractions with gears - version 3 - even more slow

Building instructions:

Download building instructions:

Download stud.io model:

...description...

Connections:

  • motor - B
  • light sensor - A

Programs

program

Download:

...description...

Measure, analyze, think

  • Make your own recording
  • Perform experiments with your model and discuss in your group what has happened.

Explore and modify

  • Pick one of the three versions, build it
  • Make your own drawing of the gear systems (i.e. on paper)
  • Write down the numbers of teeth on each pair of the gear wheels
  • Figure out the ratio of each pair of gear wheels
  • Make or calculate your guess about the final ratio of gear wheels
  • Perform measurement with the model and program and compare
  • Try to invent some other combinations of gears, repeat the whole procedure with them (this can be an alternative project for an advanced group instead of the above)
  • Could you list all the possible combinations using these 8 gear wheels that could be built?

Present

  • Think about a manual transmission in cars, how does it work? And how does automatic transmission work?
  • What do fractions have to do with the car transmission?
  • Is it only the speed of rotation that is being changed in the gear box? What else?

Additional resources



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