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Negative Base Powers Calculation

Negative Base Powers Calculation
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2024-04-24 21:31
SequenceCoordinate Geometry
In collections Potenzen - Einführung
This example uses multiple-choice and open-ended questions to demonstrate the rules of calculating negative base powers. Key mathematical concepts include power calculation, negative number exponentiation, and comparison. GeoGebra commands used include Sequence, Element, Textfield, SpeechBubbleLeft, etc. Suitable for 7-8th grade students.

GeoGebra Commands & Parameters

  1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {3, 2, 10, 7, 6, 8, 4, 9, 3, 4}
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Textfield(input) → inputBox
  4. Element({sbheight1, sbheight2, sbheight3}, step) → sbheight
  5. Element({sbwidth1, sbwidth2, sbwidth3}, step) → sbwidth
  6. SpeechBubbleLeft(PosSB, sbwidth, sbheight) → poly1
  7. RandomElement(2…5) → zahlX
  8. If(step ≟ 2, zahlY ≠ 1, true) → clickableBtnNext
  9. SelectedIndex(dropdown31) → index31
  10. SelectedIndex(dropdown32) → index32
  11. SelectedIndex(dropdown33) → index33
  12. SelectedIndex(dropdown34) → index34
  13. Text((("\textsf{= \bold{" * nsep) * "}}"), PosText + (0, -2), false, true, 0, -1) → txtL3
  14. Text((((((("\textsf{\bold{\left(−" * zahlX) * "\right)^{\textcolor{#DB6114}{\Big{") * zahlY) * "}}} = \bold{") * nsep) * "}}"), PosText, false, true, 1, -1) → txtL1
  15. Text((((((((("\textsf{\bold{\left(−" * zahlX) * "\right)^{\textcolor{#DB6114}{\Big{") * zahlY) * "}}}}") * If[showCalculation, ("\textsf{ = " * If[zahlY ≟ 1, (("\left(−" * zahlX) * "\right)"), zahlY ≟ 2, (((("\left(−" * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right)"), zahlY ≟ 3, (((((("\left(−" * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right)"), zahlY ≟ 4, (((((((("\left(−" * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right)"), zahlY ≟ 5, (((((((((("\left(−" * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right)"), (((((((((((("\left(−" * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right) \cdot \left(−") * zahlX) * "\right)}}")]), ""]) * "\textsf{ = \bold{") * nsep) * "}}"), PosText + (0, -1), false, true, 1, -1) → txtL2

AI Drawing Prompt Reference

Create an interactive worksheet-style layout for practicing powers with a negative base. Draw two left/right speech-bubble panels with fixed relative positions and sizes, and place an input text box near the left bubble content. Inside the main text area, render a formula (−x)^y where x is a whole number from 2 to 5 and y is a positive integer chosen from a small set (shown via dropdown options). Add additional text lines next to or below the formula to display an equals sign and the corresponding calculation/placeholder, formatted to show the structured product pattern for successive powers. At the bottom, include several dropdown selectors and a clickable “next” button to proceed.
The prompt above was compiled from the original drawing commands and is for reference only.