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Adding by Quick Tens

Adding by Quick Tens
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2017-03-23 23:00
FunctionCoordinate GeometryGeometric Construction
In collections Elementary School Applets
This example demonstrates the method of adding by quick tens. Key mathematical concepts include addition and the decimal system. Using GeoGebra commands such as Sequence, Flatten, Textfield, Mod, and Segment, the addition process is visually constructed. Suitable for high-grade elementary or low-grade middle school students to learn addition techniques.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(x(A) + (i * horizontalspacing), y(A) + (j * verticalspacing)), j, 0, verticaldots - 1], i, 0, horizontaldots - 1) → destinationarraydotsbig
  2. Flatten(destinationarraydotsbig) → destinationonesflat
  3. Textfield(firsttext) → InputBox1
  4. Textfield(secondtext) → InputBox2
  5. Mod(firstnumber, 10) → firstones
  6. Mod(secondnumber, 10) → secondones
  7. Sequence(Sequence[(x(B) + (i * smallhorizontalspacing), y(B) + (j * smallverticalspacing)), j, 0, smallverticaldots - 1], i, 0, smallhorizontaldots - 1) → smallarrayfirstbig
  8. Sequence(Sequence[(x(C) + (i * smallhorizontalspacing), y(C) + (j * smallverticalspacing)), j, 0, smallverticaldots - 1], i, 0, smallhorizontaldots - 1) → smallarraysecondbig
  9. Flatten(smallarrayfirstbig) → smallonesfirstflat
  10. Flatten(smallarraysecondbig) → smallonessecondflat
  11. Sequence(Element[smallonesfirstflat, i], i, 1, firstones) → showfirstones
  12. Sequence(Element[smallonessecondflat, i], i, 1, secondones) → showsecondones
  13. Sequence(Sequence[(x(D) - (i * smalltenswidth), y(D) + (j * smalltensheight)), j, 0, smalltensrows - 1], i, 0, smalltenscolumns - 1) → smalltensfirstbig
  14. Sequence(Sequence[(x(E) - (i * smalltenswidth), y(E) + (j * smalltensheight)), j, 0, smalltensrows - 1], i, 0, smalltenscolumns - 1) → smalltenssecondbig
  15. Flatten(smalltensfirstbig) → smalltensfirstflat
  16. Flatten(smalltenssecondbig) → smalltenssecondflat
  17. Sequence(Segment[Element[smalltensfirstflat, (2 * i) + 1], Element[smalltensfirstflat, (2 * i) + 2]], i, 0, firsttens - 1) → showfirsttens
  18. Sequence(Segment[Element[smalltenssecondflat, (2 * i) + 1], Element[smalltenssecondflat, (2 * i) + 2]], i, 0, secondtens - 1) → showsecondtens
  19. Flatten(Sequence[Sequence[(x(F) - (i * destinationtenswidth), y(F) + (j * destinationtensheight)), i, 0, destinationtenscolumns - 1], j, 0, destinationtensrows - 1]) → destinationtensflat
  20. Sequence(Translate[Element[showfirstones, i], Vector[(Vector[Element[smallonesfirstflat, i], Element[destinationonesflat, i]] * slideit)]], i, 1, firstones) → swooponesfirst
  21. Sequence(Translate[Element[showsecondones, i], Vector[(Vector[Element[smallonessecondflat, i], Element[destinationonesflat, i + firstones]] * slideit)]], i, 1, secondones) → swooponessecond
  22. Segment(G, H) → f
  23. Segment(I, J) → g
  24. Mod(total, 10) → totalones
  25. Mod(total, 10) → finalones
  26. Segment(Element[destinationonesflat, 1], Element[destinationonesflat, (10 * regroupit)]) → h
  27. Segment(K, L) → i
  28. Segment(M, N) → j
  29. Sequence(Vector[Element[smalltensfirstflat, (2 * i)], Element[destinationtensflat, i]], i, 1, firsttens) → slidefirsttensvectors
  30. Sequence(Vector[Element[smalltenssecondflat, (2 * i)], Element[destinationtensflat, i + firsttens]], i, 1, secondtens) → slidesecondtensvectors
  31. Sequence(Translate[Element[showfirsttens, i], Vector[(Element[slidefirsttensvectors, i] * slideit)]], i, 1, firsttens) → swooptensfirst
  32. Sequence(Translate[Element[showsecondtens, i], Vector[(Element[slidesecondtensvectors, i] * slideit)]], i, 1, secondtens) → swooptenssecond

AI Drawing Prompt Reference

Draw a tens addition diagram with two input boxes for numbers, where the units are shown with small squares and tens with long rectangles. Connect the units and tens to the target position using sliding segments, and represent the total sum with large rectangles. Finally, show the units of the total sum.
The prompt above was compiled from the original drawing commands and is for reference only.