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Exploring Improper Fractions - 1

Exploring Improper Fractions - 1
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2017-07-22 16:04
SequenceCoordinate Geometry
In collections Fractions الكسور
This example uses GeoGebra to explore the properties of improper fractions. It demonstrates how to convert improper fractions into mixed numbers, involving key mathematical concepts such as the basic properties and conversion methods of fractions. Using commands like If, Sequence, and Div, users can visually observe and understand the relationship between improper fractions and mixed numbers. Suitable for students from upper elementary to middle school, it helps deepen the understanding of fraction concepts.

GeoGebra Commands & Parameters

  1. If(a > 12, 14 / (a + 2), 1) → r
  2. Sequence(A + (((1.2 * r) * (i - (k * Mod[i - 1, b]) - ((k * (b - 1)) * Div[i - 1, b]))), 0), i, 1, a) → p1
  3. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], 3.141592653589793 / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p2
  4. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], -3.141592653589793 / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p3
  5. Sequence(CircleSector[Element[p1, i], Element[p3, i], Element[p2, i]], i, 1, a) → secs
  6. Div(a, b) → c
  7. Sequence(Text[If[Mod[i, b] ≟ 0, rt["" + (i)], bt["" + (i)]], (-0.09, -0.2) + Element[p1, i], true, true], i, 1, a) → numbers