Percentage Increase or Decrease Demo

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2023-04-26 16:08

In collections Prozentrechnung: Vermehrung und Verminderung

This example demonstrates the calculation process of percentage increase or decrease, visually showing quantity changes. Core math concepts include percentage calculations and change factors. Construction highlights use of GeoGebra commands like Shuffle, Element, Textfield, Corner, and objects such as counthint2, questionCount, Zkleiner1, Zgrößer1, etc., for dynamic question and answer display. Suitable for 7th-8th grade students practicing multi-step percentage problems.

GeoGebra Commands & Parameters

Shuffle(Sequence[0.01 + i, i, 0, 0.98, 0.01]) → Zkleiner1, {0.7300000000000004, 0.8800000000000006, 0.5000000000000002, 0.3200000000000001, 0.6700000000000004, 0.8500000000000005, 0.6600000000000004, 0.4400000000000002, 0.07, 0.11999999999999998, 0.49000000000000027, 0.6500000000000004, 0.5700000000000003, 0.8200000000000005, 0.04, 0.6300000000000003, 0.7500000000000004, 0.26000000000000006, 0.01, 0.6200000000000003, 0.35000000000000014, 0.19000000000000003, 0.17, 0.23000000000000007, 0.09999999999999999, 0.9200000000000006, 0.16, 0.6800000000000004, 0.2700000000000001, 0.03, 0.8000000000000005, 0.7400000000000004, 0.38000000000000017, 0.2800000000000001, 0.4100000000000002, 0.46000000000000024, 0.7700000000000005, 0.9700000000000006, 0.47000000000000025, 0.8600000000000005, 0.6100000000000003, 0.21000000000000005, 0.24000000000000007, 0.7800000000000005, 0.25000000000000006, 0.10999999999999999, 0.9600000000000006, 0.3000000000000001, 0.6400000000000003, 0.15, 0.3900000000000002, 0.9100000000000006, 0.2900000000000001, 0.3100000000000001, 0.5900000000000003, 0.09, 0.12999999999999998, 0.5200000000000002, 0.9000000000000006, 0.6900000000000004, 0.9400000000000006, 0.7200000000000004, 0.13999999999999999, 0.7900000000000005, 0.9900000000000007, 0.9500000000000006, 0.37000000000000016, 0.22000000000000006, 0.4000000000000002, 0.3300000000000001, 0.060000000000000005, 0.45000000000000023, 0.7000000000000004, 0.08, 0.05, 0.6000000000000003, 0.5300000000000002, 0.36000000000000015, 0.34000000000000014, 0.02, 0.5500000000000003, 0.8400000000000005, 0.4200000000000002, 0.9300000000000006, 0.20000000000000004, 0.5100000000000002, 0.4300000000000002, 0.5800000000000003, 0.8700000000000006, 0.7100000000000004, 0.5400000000000003, 0.8900000000000006, 0.7600000000000005, 0.18000000000000002, 0.9800000000000006, 0.5600000000000003, 0.8100000000000005, 0.8300000000000005, 0.48000000000000026}
Shuffle(Sequence[1.01 + i, i, 0, 0.98, 0.01]) → Zgrößer1, {1.9300000000000006, 1.5100000000000002, 1.4100000000000001, 1.32, 1.12, 1.5700000000000003, 1.6500000000000004, 1.37, 1.8900000000000006, 1.5300000000000002, 1.14, 1.5800000000000003, 1.4900000000000002, 1.6400000000000003, 1.06, 1.7200000000000004, 1.7000000000000004, 1.05, 1.9700000000000006, 1.6200000000000003, 1.6800000000000004, 1.7600000000000005, 1.8500000000000005, 1.11, 1.6700000000000004, 1.8100000000000005, 1.1, 1.21, 1.16, 1.28, 1.15, 1.3900000000000001, 1.7900000000000005, 1.7400000000000004, 1.5400000000000003, 1.6000000000000003, 1.08, 1.5000000000000002, 1.4600000000000002, 1.4500000000000002, 1.04, 1.03, 1.09, 1.4700000000000002, 1.8200000000000005, 1.5900000000000003, 1.24, 1.26, 1.5600000000000003, 1.29, 1.8000000000000005, 1.9400000000000006, 1.9200000000000006, 1.02, 1.31, 1.9100000000000006, 1.7500000000000004, 1.6900000000000004, 1.34, 1.3, 1.19, 1.5500000000000003, 1.7700000000000005, 1.13, 1.35, 1.23, 1.6600000000000004, 1.9600000000000006, 1.4800000000000002, 1.8700000000000006, 1.9900000000000007, 1.07, 1.36, 1.8300000000000005, 1.6100000000000003, 1.9500000000000006, 1.8800000000000006, 1.4000000000000001, 1.4300000000000002, 1.7300000000000004, 1.3800000000000001, 1.17, 1.6300000000000003, 1.2, 1.9800000000000006, 1.8400000000000005, 1.7800000000000005, 1.9000000000000006, 1.25, 1.18, 1.7100000000000004, 1.5200000000000002, 1.4200000000000002, 1.22, 1.8600000000000005, 1.33, 1.01, 1.4400000000000002, 1.27}
Shuffle(Join[{Zgrößer1, Zkleiner1}]) → ZZ, {0.2900000000000001, 0.03, 1.7400000000000004, 0.7100000000000004, 0.8400000000000005, 1.9100000000000006, 1.9200000000000006, 1.6100000000000003, 1.25, 1.22, 0.9200000000000006, 0.5000000000000002, 0.7700000000000005, 0.4000000000000002, 0.8600000000000005, 1.7000000000000004, 0.04, 1.6800000000000004, 1.9300000000000006, 0.3000000000000001, 1.04, 1.6200000000000003, 1.5700000000000003, 0.8100000000000005, 0.5900000000000003, 0.3300000000000001, 1.4000000000000001, 1.21, 1.19, 0.3100000000000001, 1.9000000000000006, 1.29, 0.24000000000000007, 0.7800000000000005, 0.6000000000000003, 0.5800000000000003, 1.32, 0.5600000000000003, 0.7300000000000004, 0.5200000000000002, 1.8400000000000005, 1.4500000000000002, 1.6500000000000004, 0.3900000000000002, 1.3900000000000001, 1.18, 0.7600000000000005, 1.6900000000000004, 1.8100000000000005, 1.5800000000000003, 1.5000000000000002, 1.5900000000000003, 1.7900000000000005, 1.8300000000000005, 1.05, 1.5400000000000003, 0.4400000000000002, 0.13999999999999999, 0.6800000000000004, 0.07, 1.27, 0.9400000000000006, 0.10999999999999999, 0.17, 1.2, 1.5200000000000002, 1.16, 1.6300000000000003, 0.9800000000000006, 1.26, 0.6900000000000004, 1.5600000000000003, 0.49000000000000027, 1.7700000000000005, 0.02, 0.6300000000000003, 0.16, 1.02, 1.6600000000000004, 1.8200000000000005, 1.4300000000000002, 1.11, 0.5700000000000003, 0.6600000000000004, 0.09, 0.060000000000000005, 0.7400000000000004, 0.5100000000000002, 0.7500000000000004, 1.03, 1.07, 0.9300000000000006, 0.15, 0.8200000000000005, 1.8600000000000005, 1.5300000000000002, 1.9900000000000007, 1.17, 0.08, 1.01, 0.12999999999999998, 0.47000000000000025, 1.4200000000000002, 1.28, 1.34, 0.48000000000000026, 0.23000000000000007, 0.9000000000000006, 0.9900000000000007, 1.6400000000000003, 1.4100000000000001, 1.8000000000000005, 1.23, 0.6500000000000004, 0.26000000000000006, 1.8900000000000006, 1.4800000000000002, 1.24, 1.14, 0.7000000000000004, 0.5500000000000003, 0.4200000000000002, 0.25000000000000006, 0.8000000000000005, 1.7800000000000005, 0.8300000000000005, 1.4600000000000002, 1.1, 0.21000000000000005, 0.46000000000000024, 0.6400000000000003, 0.8800000000000006, 0.9500000000000006, 0.9100000000000006, 0.9600000000000006, 1.9400000000000006, 1.6000000000000003, 1.9700000000000006, 0.3200000000000001, 1.4900000000000002, 1.35, 1.7600000000000005, 0.4300000000000002, 1.6700000000000004, 0.5300000000000002, 0.11999999999999998, 1.15, 1.9500000000000006, 1.37, 1.7500000000000004, 0.6200000000000003, 1.36, 1.7300000000000004, 0.20000000000000004, 0.8900000000000006, 1.4700000000000002, 0.5400000000000003, 0.09999999999999999, 1.9800000000000006, 1.9600000000000006, 1.3800000000000001, 0.18000000000000002, 1.31, 0.05, 1.5500000000000003, 1.5100000000000002, 1.4400000000000002, 1.12, 1.7200000000000004, 1.09, 0.38000000000000017, 0.7900000000000005, 0.35000000000000014, 0.6700000000000004, 0.9700000000000006, 0.36000000000000015, 0.22000000000000006, 0.2700000000000001, 0.4100000000000002, 0.34000000000000014, 1.08, 1.06, 1.3, 0.6100000000000003, 1.13, 0.01, 0.45000000000000023, 1.8700000000000006, 0.2800000000000001, 1.7100000000000004, 0.7200000000000004, 0.37000000000000016, 0.8700000000000006, 1.8500000000000005, 1.33, 1.8800000000000006, 0.8500000000000005, 0.19000000000000003}
Element(ZZ, Mod[questionCount, 198] + 1) → ZZFaktor
Textfield(input1) → InputBox1
Corner(Text2, 2) → E2Text2

AI Drawing Prompt Reference

Create a visual demo layout for percentage increase or decrease practice. Include two sets of randomly selected adjustment factors: one representing a decrease factor range and the other representing an increase factor range, with a mechanism that picks the current factor by an index. Combine these into a single current “adjustment factor” used for the displayed question. Add an answer input field for the user to type the computed percentage result, and place a corner text label to show the question text or current prompt. Make the factor selection and displayed text update together across steps.

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