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Two Thermometers

Two Thermometers
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2015-05-25 22:46
Geometric Construction
In collections Introduction to Integers and Integer Arithmetics Introduction to Integers and Integer Arithmetics
This example demonstrates how to calculate the difference in temperature using two thermometers and further explores negative numbers. Core math concepts include operations with negative numbers and temperature changes. Construction highlights involve using GeoGebra commands like Point, Segment, Polygon, and Rotate; suitable for middle school mathematics education to help students understand the relationship between negative numbers and temperature changes.

GeoGebra Commands & Parameters

  1. Point(Circle[C, a]) → E
  2. Point(Circle[D, a]) → F
  3. Segment(D, F) → c
  4. Segment(E, F) → d
  5. Polygon(C, D, F, E) → poly1, c_1, d_1, f, e
  6. Point(Circle[G, c_1]) → H
  7. Rotate(H + (d_1, 0), Angle[F - D] + Angle[H - G] - Angle[D - C], H) → I
  8. Rotate(I + (f, 0), Angle[E - F] + Angle[I - H] - Angle[F - D], I) → J
  9. Segment(M, N) → g
  10. Point(Circle[M, b]) → O
  11. Segment(M, O) → h
  12. Point(Circle[N, b]) → P
  13. Segment(N, P) → i
  14. Segment(O, P) → j
  15. Polygon(M, N, P, O) → poly2, m, n, p, o