P4 Improper Fractions Visual Demonstration
2017-08-22 14:03
This GeoGebra example is designed for Primary 4 mathematics education, visually demonstrating the concept of improper fractions using a rectangular area model. Users can adjust the numerator and denominator values via interactive buttons to observe the graphical representation of whole number and proper fraction parts. The construction uses polygon sequences to draw equally divided rectangles, com
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P4 4N6 分數的種類及轉換 / Fraction Types and Their Conversions
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<element type="text" label="Text42">
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<animation step="0.1" speed="1" type="0" playing="false"/>
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<command name="Mod">
<input a0="n2" a1="Denom2"/>
<output a0="FracNum2"/>
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<element type="numeric" label="FracNum2">
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<expression label="RectNum2" exp="ceil(n2 / Denom2)" />
<element type="numeric" label="RectNum2">
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<expression label="Whole2" exp="floor(n2 / Denom2)" />
<element type="numeric" label="Whole2">
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<input a0="A" a1="B"/>
<output a0="SegSeperation"/>
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<command name="Sequence">
<input a0="Segment[(BaseX2 + (s * RectNum2), BaseY2 + (h / Denom2 * l)), (BaseX2 + (s * RectNum2) + width, BaseY2 + (h / Denom2 * l))]" a1="l" a2="1" a3="Denom2 - 1"/>
<output a0="LastBoxSegments2"/>
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<element type="list" label="LastBoxSegments2">
<show object="true" label="true" ev="4"/>
<condition showObject="Mod[n2, Denom2] ≠ 0"/>
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<angleStyle val="0"/>
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<expression label="TextAns2" exp=""\frac{" + (LaTeX[n]) + "}{" + (LaTeX[Denom]) + "}"" />
<element type="text" label="TextAns2">
<show object="false" label="false" ev="8"/>
<condition showObject="ShowNum"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<isLaTeX val="true"/>
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<expression label="TextAns22" exp=""\frac{" + (LaTeX[n2]) + "}{" + (LaTeX[Denom2]) + "}"" />
<element type="text" label="TextAns22">
<show object="true" label="false" ev="8"/>
<condition showObject="ShowNum2"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<startPoint x="-6.409916113732915" y="-3.2505261808976806" z="1"/>
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<command name="Sequence">
<input a0="Polygon[(BaseX + (s * RectNum), BaseY + (h / Denom * (l - 1))), (BaseX + (s * RectNum), BaseY + (h / Denom * l)), (BaseX + (s * RectNum) + width, BaseY + (h / Denom * l)), (BaseX + (s * RectNum) + width, BaseY + (h / Denom * (l - 1)))]" a1="l" a2="1" a3="If[Mod[n, Denom] ≟ 0, Denom, Mod[n, Denom]]"/>
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<element type="list" label="NumPartFraction">
<show object="true" label="true" ev="4"/>
<objColor r="128" g="0" b="128" alpha="0.1"/>
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<command name="Sequence">
<input a0="Sequence[Polygon[(BaseX + (s * j), BaseY + (h / Denom * (l - 1))), (BaseX + (s * j), BaseY + (h / Denom * l)), (BaseX + (s * j) + width, BaseY + (h / Denom * l)), (BaseX + (s * j) + width, BaseY + (h / Denom * (l - 1)))], l, 1, Denom]" a1="j" a2="1" a3="RectNum - 1"/>
<output a0="NumPartWhole"/>
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<element type="list" label="NumPartWhole">
<show object="true" label="true" ev="4"/>
<objColor r="128" g="0" b="128" alpha="0.1"/>
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<command name="Sequence">
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<element type="list" label="NumPartFraction2">
<show object="true" label="true" ev="4"/>
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<output a0="NumPartWhole2"/>
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<element type="list" label="NumPartWhole2">
<show object="true" label="true"/>
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<input a0="(BaseX2 + (s * RectNum2), BaseY2 + 0)" a1="(BaseX2 + (s * RectNum2), BaseY2 + h)"/>
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<element type="segment" label="LastBoxSide12">
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<command name="Segment">
<input a0="(BaseX2 + (s * RectNum2), BaseY2 + h)" a1="(BaseX2 + (s * RectNum2) + width, BaseY2 + h)"/>
<output a0="LastBoxSide22"/>
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<element type="segment" label="LastBoxSide22">
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<objColor r="0" g="100" b="0" alpha="0"/>
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