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Visual Explanation of Improper Fractions and Mixed Numbers

Visual Explanation of Improper Fractions and Mixed Numbers
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2020-02-18 13:20
FunctionSequenceGeometric Construction
This example visually explains the relationship between improper fractions and mixed numbers. Key mathematical concepts include the conversion between improper fractions and mixed numbers. GeoGebra commands such as Flatten, Sequence, and Polygon are used in construction. Suitable for high-grade elementary and junior high school students learning fraction concepts.

GeoGebra Commands & Parameters

  1. Flatten(Sequence[Sequence[(x(A) + (i * widthinterval), y(A) + (j * heightinterval)), j, 0, heightnumber], i, 0, widthnumber]) → list1
  2. Sequence(Element[list1, ((denominator * 2) * i) + 1], i, 0, 50) → list2
  3. Polygon(Element[list1, 1], Element[list1, 2], Element[list1, ((numerator + 1) * 2)], Element[list1, ((numerator + 1) * 2) - 1]) → poly1, f, g, h, i
  4. Sequence(Segment[Element[list1, (2 * i)], Element[list1, (2 * i) - 1]], i, 1, 100) → list3
  5. Polygon(Element[list1, 1], Element[list1, 2], Element[list1, 200], Element[list1, 199]) → poly2, j, k, l, m
  6. Mod(numerator, denominator) → mixednumerator
  7. Polygon(D, E, F, G) → poly3, d, e, f_1, g_1
  8. Polygon(D, H, I, G) → poly4, d_1, h_1, i_1, g_2
  9. Point(h_1) → J
  10. Point(e) → K
  11. Segment(J, K) → n