Perimeter Calculation with GeoGebra: Level 1

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2021-07-20 19:01

Polygon Geometric Construction

In collections Wiederholung: Längen- und Flächenmaße

This example demonstrates how to use GeoGebra for geometric measurement and length calculations. The key mathematical concepts involve perimeter calculation, length measurement, and geometric construction. The construction uses GeoGebra commands such as Sequence, Element, Number, and Midpoint to create polygons and calculate their perimeters. It is suitable for students in grades 5-6 for classroom practice and math teaching.

GeoGebra Commands & Parameters

Sequence(Random[1, Length[units]], i, 1, 100) → randomNos1, {1, 4, 3, 5, 4, 4, 3, 1, 1, 2, 2, 4, 1, 2, 2, 1, 1, 4, 1, 4, 4, 2, 2, 5, 3, 4, 2, 5, 5, 5, 3, 2, 5, 1, 1, 3, 1, 2, 2, 3, 2, 5, 4, 5, 4, 4, 2, 2, 3, 4, 4, 3, 4, 5, 2, 3, 2, 3, 4, 4, 5, 4, 4, 5, 4, 5, 3, 1, 2, 2, 2, 3, 4, 3, 4, 1, 2, 4, 5, 4, 5, 1, 3, 4, 2, 2, 2, 4, 5, 5, 2, 4, 3, 2, 1, 5, 2, 3, 4, 4}
Sequence(Random[21, 7800000], i, 1, 100) → randomNos2, {3670499, 6446012, 3247848, 7457827, 1052986, 4691109, 3007710, 675229, 7497382, 1103177, 2369770, 6503226, 1389245, 7630749, 2814478, 4322669, 2083856, 4968556, 4515383, 2406449, 2277549, 5710742, 6071218, 5070532, 309299, 2292523, 7020972, 7443963, 2353574, 7711673, 2520068, 1733574, 734274, 573248, 4738140, 2789195, 7029028, 907311, 2234894, 4397055, 1595580, 6097648, 896001, 3041588, 4963038, 2363102, 6644151, 2360739, 657456, 7440551, 2358267, 5375997, 1440321, 7410876, 2200958, 797806, 2885400, 5865773, 1127327, 6343753, 1793460, 4560477, 4143727, 7328559, 1684908, 6246467, 6654637, 3255629, 7484846, 3561537, 4904707, 6069448, 2363489, 3468058, 7429935, 4435721, 5822685, 2482455, 6034866, 2792892, 5454113, 2197435, 2964572, 7626386, 4302363, 4842035, 677333, 6266208, 1607134, 2505185, 5063914, 2194042, 724853, 4346129, 6618463, 7718446, 5485432, 1883901, 441441, 5816505}
Element(randomNos2, Mod[count, 100] + 1) → valMM
NumberSeparationComma(valMM) → valMM1
NumberSeparationComma(valCM) → valCM1
NumberSeparationComma(valDM) → valDM1
NumberSeparationComma(valM) → valM1
NumberSeparationComma(valKM) → valKM1
Sequence(RandomElement[(1…5) \ {randomNos1(i)}], i, 1, 100) → randomNos3, {3, 2, 4, 1, 5, 1, 5, 4, 3, 5, 3, 3, 4, 3, 3, 3, 2, 5, 3, 5, 3, 5, 5, 4, 4, 3, 4, 4, 2, 1, 2, 3, 1, 3, 4, 2, 4, 3, 5, 1, 1, 1, 5, 3, 3, 5, 5, 1, 1, 5, 3, 1, 3, 1, 1, 5, 5, 4, 1, 3, 1, 3, 5, 1, 3, 1, 5, 3, 3, 3, 3, 5, 5, 1, 5, 3, 5, 5, 2, 3, 4, 3, 1, 2, 1, 5, 1, 1, 4, 4, 1, 2, 1, 5, 2, 3, 1, 1, 5, 2}
Midpoint(Corner[answerCorrect, 1], Corner[answerCorrect, 3]) → M1
Shuffle(Flatten[Sequence[Sequence["\textsf{\fcolorbox{#000}{#fff}{" + (Element[vals1, Element[(1…5) \ {unitInd, Element[(1…5) \ {unitInd}, i]}, j]]) + " " + (Element[units, Element[(1…5) \ {unitInd}, i]]) + "}}", j, 1, 3], i, 1, 4]]) → l1, {"\textsf{\fcolorbox{#000}{#fff}{7 029,028 km}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 dm}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 m}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 cm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 km}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 cm}}", "\textsf{\fcolorbox{#000}{#fff}{7 029,028 dm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 m}}", "\textsf{\fcolorbox{#000}{#fff}{7,029028 m}}", "\textsf{\fcolorbox{#000}{#fff}{7 029,028 cm}}", "\textsf{\fcolorbox{#000}{#fff}{702 902,8 dm}}", "\textsf{\fcolorbox{#000}{#fff}{70 290,28 km}}"}
Midpoint(Corner[text9, 1], Corner[text9, 3]) → M8
Midpoint(Corner[text8, 1], Corner[text8, 3]) → M7
Midpoint(Corner[text7, 1], Corner[text7, 3]) → M6
Midpoint(Corner[text6, 1], Corner[text6, 3]) → M5
Midpoint(Corner[text5, 1], Corner[text5, 3]) → M4
Midpoint(Corner[text4, 1], Corner[text4, 3]) → M3
Midpoint(Corner[text3, 1], Corner[text3, 3]) → M2
Polygon(C, D, E, F) → box, c, d, e, f
Textfield(aInput) → InputBox1
Textfield(bInput) → InputBox2
Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
Sequence(Shuffle[Flatten[Sequence[Sequence[G + ((i * dx), (j * dy)), i, 0, 1], j, 0, 3]]], k, 1, 100) → l3, {{(-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379)}, {(-4.032814719413515, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 4.266229595924379)}, {(-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379)}, {(-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379)}, {(-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 4.266229595924379)}, {(-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379)}, {(-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 6.666229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 5.4662295959243785)}, {(-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 6.666229595924379)}, {(-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379)}, {(-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 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6.666229595924379), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-4.032814719413515, 5.4662295959243785)}, {(-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 5.4662295959243785), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 3.066229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 3.066229595924379), (-4.032814719413515, 6.666229595924379)}, {(-4.032814719413515, 5.4662295959243785), (-1.3328147194135145, 5.4662295959243785), (-4.032814719413515, 3.066229595924379), (-1.3328147194135145, 6.666229595924379), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 4.266229595924379), (-4.032814719413515, 6.666229595924379), (-1.3328147194135145, 3.066229595924379)}, 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4.266229595924379), (-4.032814719413515, 5.4662295959243785), (-4.032814719413515, 4.266229595924379), (-1.3328147194135145, 6.666229595924379)}}
Polygon(Corner[answerCorrect, 1], Corner[answerCorrect, 2], Corner[answerCorrect, 3], Corner[answerCorrect, 4]) → solutionBox, g, h, i, j
Zip(Z ∈ box, Z, ListM) → inBox

AI Drawing Prompt Reference

Create an interactive geometry teaching interface featuring a quadrilateral polygon to demonstrate perimeter calculation. Display multiple value labels showing the same measurement in different units including kilometers, meters, decimeters, and centimeters, with numbers formatted using thousand separators. Include a text input box for learners to enter answers and a rectangular feedback area below to show correct responses. The overall layout presents a grid-like arrangement with multiple coordinate points distributed across the interface, designed for Grade 5-6 students to practice length unit conversion and perimeter calculation in a clear classroom setting.

The prompt above was compiled from the original drawing commands and is for reference only.