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Multiplying Fractions with Area Model by monicapabonmartinez

Multiplying Fractions with Area Model by monicapabonmartinez
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2019-05-16 21:57
Geometric Construction
This example demonstrates the multiplication of fractions using an area model. Key mathematical concepts include fractions and area models. It utilizes commands such as Point, Sequence, Polygon, LCM, and GCD in GeoGebra. Suitable for upper elementary or middle school students learning fraction multiplication.

GeoGebra Commands & Parameters

  1. Point(a) → A
  2. Sequence((x(A) + (i * denominatorsize), y(A)), i, 0, (denominator * numberofwholes)) → list1
  3. Sequence((x(A) + (i * unitsize), y(A)), i, 0, numberofwholes) → list2
  4. Sequence((x(A), y(A) + (i * denominatorsizev)), i, 1, (denominatorv * numberofwholesv)) → list3
  5. Sequence((x(A), y(A) + (i * unitsizev)), i, 1, numberofwholesv) → list4
  6. Sequence(Segment[Element[list2, i], Element[list2, i] + (0, (numberofwholesv * unitsizev))], i, 1, numberofwholes + 1) → UnitLongitude
  7. Sequence(Segment[Element[list4, i], Element[list4, i] + ((numberofwholes * unitsize), 0)], i, 1, numberofwholesv + 1) → UnitLatitude
  8. Polygon(A, B, OuterUpperRight, C) → poly1, a_1, b, upperright, c
  9. Sequence(Segment[Element[list1, i], Element[list1, i] + (0, (numberofwholesv * unitsizev))], i, 1, (denominator * (numberofwholes + 1))) → GridLongitude
  10. Sequence(Segment[Element[list3, i], Element[list3, i] + ((numberofwholes * unitsize), 0)], i, 1, (denominatorv * (numberofwholesv + 1))) → GridLatitude
  11. Polygon(A, LowerRight, UpperRight, UpperLeft) → polyWhole, a_2, lowerright, upperright_1, upperleft
  12. Polygon(UpperLeft, UpperRight, OuterUpperMid, C) → polyUpper, upperleft_1, upperright_2, outeruppermid, c_1
  13. Polygon(LowerRight, B, RightUpperMid, UpperRight) → polyRight, lowerright_1, b_1, rightuppermid, upperright_3
  14. Polygon(UpperRight, RightUpperMid, OuterUpperRight, OuterUpperMid) → polyCorner, upperright_4, rightuppermid_1, outerupperright, outeruppermid_1
  15. LCM(denomList) → commondenominator
  16. GCD(numanswerTEMP, commondenominator) → reduceby
  17. GCD(commondenominator, numanswerTEMPTWO) → reducebyTWO

AI Drawing Prompt Reference

Draw an area model for multiplying fractions. Start with a base point, then create evenly spaced points horizontally at both unit and denominator intervals, and vertically at both unit and denominator intervals. Connect these points to form a grid of horizontal and vertical lines, outlining a large rectangle. Within this rectangle, partition it into four distinct regions: a whole unit square, an upper strip, a right strip, and a corner rectangle, each shaded differently. Finally, compute the least common multiple of the denominators and the greatest common divisor of the numerator and that common denominator to simplify the fraction product, and label the final simplified answer in the diagram.
The prompt above was compiled from the original drawing commands and is for reference only.