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Adding with Quick Tens v2

Adding with Quick Tens v2
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2020-04-19 04:28
SequenceTransformationGeometric ConstructionSlider AnimationGraphing
In collections Elementary School Applets
① This interactive GeoGebra example demonstrates two-digit addition with visual grouping into tens and ones, making the carrying process intuitive for learners. ② Core math concepts include place value (ones and tens), addition with regrouping, and the base-10 number system, reinforced through dot arrays and flat representations. ③ Construction highlights: uses GeoGebra commands such as Sequence, Flatten, Textfield, Mod, and Segment to build a dynamic interface with horizontal/vertical spacing, dot arrays, and flats. Input boxes (InputBox1/2) accept two addends, Mod splits them into tens and ones, and multiple arrays (destinationarraydotsbig, smallarrayfirstbig, etc.) display results. A reset button and visibility toggles (showfirstones, showsecondones) enhance interactivity. ④ Suitable for early elementary math (grades 1-2) in classrooms or self-study, helping students grasp addition with carrying through visual manipulation.

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