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Pairs of Numbers Given a Sum

Pairs of Numbers Given a Sum
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2022-09-18 16:25
FunctionCoordinate GeometryGeometric Construction
This example demonstrates pairs of numbers with a given sum. Key mathematical concepts include addition and pairs. Using GeoGebra commands such as Random, Textfield, Segment, etc., a series of pairs are constructed such that their sum remains constant. Suitable for middle school and above students to learn about addition and pairs.

GeoGebra Commands & Parameters

  1. Random(-15, 15) → num
  2. Textfield(a1) → InputBox1
  3. Textfield(a2) → InputBox2
  4. Textfield(b1) → InputBox3
  5. Textfield(b2) → InputBox4
  6. Textfield(c1) → InputBox5
  7. Textfield(c2) → InputBox6
  8. Textfield(d1) → InputBox7
  9. Textfield(d2) → InputBox8
  10. Textfield(e1) → InputBox9
  11. Textfield(e2) → InputBox10
  12. Defined(a1 + a2) → notempty1
  13. Defined(b1 + b2) → notempty2
  14. Defined(c1 + c2) → notempty3
  15. Defined(d1 + d2) → notempty4
  16. Defined(e1 + e2) → notempty5
  17. Segment(A, B) → f
  18. Intersect(f, yAxis) → C

AI Drawing Prompt Reference

Draw a coordinate plane showing five pairs of numbers with the same sum. Connect each pair with a line segment and mark their intersection with the y-axis. Start by randomly generating five pairs of numbers, ensuring their sums are equal, then connect each pair with a line segment, and finally find and label the intersection of each segment with the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.