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Integer Multiplication - Number Line Model

Integer Multiplication - Number Line Model
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2019-09-18 12:50
FunctionCoordinate GeometryInequalitySlider Animation
This example demonstrates the calculation process and geometric meaning of integer multiplication using a number line model. It involves core math concepts like integer multiplication, number line, absolute value, and rational number operations. The construction utilizes GeoGebra commands such as If, Sequence, and Text, along with objects like a, b, O, ListP, ListC, R, T1, T2, T3, T4, T5, T6, and text1 to build the number line, dynamic points, calculation results, and textual explanations. Suitable for middle school mathematics teaching to help students visually understand the operation rules and sign patterns of integer multiplication.

GeoGebra Commands & Parameters

  1. If(b < 0, Sequence[(((-a) * p), 0), p, 0, (-b)], Sequence[((a * p), 0), p, 0, b]) → ListP
  2. Sequence(Semicircle[Element[ListP, p], Element[ListP, p + 1]], p, 1, abs(b)) → ListC
  3. Text(a) → T1
  4. Text(b) → T2
  5. Text("x") → T3
  6. Text("=") → T4
  7. Text(x(R)) → T5
  8. Text(x(R)) → T6