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authorFlorian Fischer <florian.fischer@muhq.space>2023-06-26 09:59:05 +0200
committerFlorian Fischer <florian.fischer@muhq.space>2023-06-26 09:59:05 +0200
commit578bcb96a165d95473fc37e526000945b5c9d4b7 (patch)
treef72984f0326169d173fe2594c285aa2d39e64d36
parentdd381770d5207a571e70fc5493a2eb50761b352e (diff)
downloadunterricht-578bcb96a165d95473fc37e526000945b5c9d4b7.tar.gz
unterricht-578bcb96a165d95473fc37e526000945b5c9d4b7.zip
use proper unit formatting and add a evaluative sentence
-rw-r--r--Mathe/10/5/Kugeloberflaeche/_handout.tex15
1 files changed, 10 insertions, 5 deletions
diff --git a/Mathe/10/5/Kugeloberflaeche/_handout.tex b/Mathe/10/5/Kugeloberflaeche/_handout.tex
index d3529b31..9936602d 100644
--- a/Mathe/10/5/Kugeloberflaeche/_handout.tex
+++ b/Mathe/10/5/Kugeloberflaeche/_handout.tex
@@ -1,3 +1,4 @@
+\usepackage{siunitx}
\usepackage{unicode-math}
\usepackage{fontawesome5}
@@ -55,19 +56,23 @@ $V_{Kugel}$ & = & \solution{$\frac{1}{3} \cdot$} & \solution{$O_{Kugel} \cdot r$
\subsubsection*{Überflutete Landmasse}
+{\Large \faIcon[regular]{lightbulb}} Berechne die \textbf{Geflutete Landfläche} und bewerte dein Ergebnis mit Blick auf seine Aussagekraft. \\
+
% \begin{tabular}{ >{\bfseries}r l p{3cm}}
% Geg.: & $r_{Erde} = 6371 km, O_{Wasser} = 360.570.000 km^2 \newline O_{geflutet} = 150.000 km^2$ & \multirow{3}{3cm}{\vspace{-1cm}\includegraphics[width=4cm, keepaspectratio]{img/sea_level_change1993-2007.png}} \\
% Ges.: & $\text{Geflutete Landfläche in Prozent}$ & \\
% \end{tabular}
-\textbf{Geg.}: $r_{Erde} = 6371 km$, $O_{Wasser} = 360.570.000 km^2$, $O_{geflutet} = 150.000 km^2$ \vspace{3mm} \\
-\textbf{Ges.}: $\text{Geflutete Landfläche in Prozent}$ \\
+\textbf{Geg.}: $r_{Erde} = \SI{6371}{km}$, $O_{Wasser} = \SI{360570000}{km^2}$, $O_{geflutet} = \SI{150000}{km^2}$
\iftoggle{lehrerversion}{
+\vspace{5mm}
\Large
-\noindent$O_{Erde} = 4 \cdot \pi \cdot (6371 km)^2 \approx 510.064.471 km^2$ \vspace{5mm} \\
-$O_{Landmasse} = O_{Erde} - O_{Wasser} = 510.064.471 km^2 - 360.570.000 km^2 = 149.494.471 km^2$ \vspace{5mm} \\
-$\frac{O_{geflutet}}{O_{Landmasse}} * 100 = \frac{150.000 km^2}{149.494.471 km^2} * 100 \approx \underline{\underline{0.1\%}}$
+\noindent$O_{Erde} = 4 \cdot \pi \cdot (\SI{6371}{km})^2 \approx \SI{510064471}{km^2}$ \vspace{5mm} \\
+$O_{Landmasse} = O_{Erde} - O_{Wasser} = \SI{510064471}{km^2} - \SI{360570000}{km^2} = \SI{149494471}{km^2}$ \vspace{5mm} \\
+$\frac{O_{geflutet}}{O_{Landmasse}} * 100 = \frac{\SI{150000}{km^2}}{\SI{149494471}{km^2}} * 100 \approx \underline{\underline{0.1\%}}$ \vspace{5mm} \\
+
+Der Prozentsatz an verlorener Fläche sagt nichts über ihre tatsächliche Bedeutung für die Menschheit aus.
}{
\kariert{12}
}