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Comparing and Equivalent Fractions

Comparing and Equivalent Fractions
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2020-01-12 11:00
SequenceCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example demonstrates how to compare fractions and visualize equivalent fractions using a number line and bar model. Key math concepts include fraction comparison, equivalent fractions, number line representation, and bar modeling. GeoGebra commands like Segment, Sequence, Polygon, Intersect, and StickGraph are used to construct the number line, bars, and fraction representations. Suitable for middle school mathematics education to help students grasp fraction comparison and equivalence visually.

GeoGebra Commands & Parameters

  1. Segment(A, A + (unitsize1, 0)) → line1
  2. Segment(B, B + (unitsize2, 0)) → line2
  3. Sequence((x(A) + (i * unitsize1 / denominator1), y(A)), i, 1, denominator1) → numdots1
  4. Segment(E, (x(E), y(E) - (y(A) - y(B)))) → showcomparison_1
  5. Segment(A, E) → showfrac1_1
  6. Segment(B, F) → showfrac2_1
  7. Polygon(G, H, L, K) → q1, g, h, l, k
  8. Intersect(g, xAxis) → M
  9. Intersect(l, xAxis) → N
  10. Segment(M, N) → line5
  11. Sequence((x(G) + (i * unitsize1 / denominator1), y(G)), i, 1, denominator1) → numdots3
  12. StickGraph(numdots3) → b
  13. Sequence((x(B) + (i * unitsize2 / denominator2), y(H)), i, 1, denominator2) → numdots4
  14. StickGraph(numdots4) → c
  15. Polygon(G, P, Q, M) → Poly2, g_1, p, q, m
  16. Polygon(M, S, R, H) → Poly3, m_1, s, r, h_1
  17. Sequence((x(B) + (i * unitsize2 / denominator2), y(B)), i, 1, denominator2) → numdots2