CM pour les 6e

6e/Calcul_Mental/P5/CM_18_05_14-1.tex

@@ -0,0 +1,63 @@
+\documentclass[a4paper,10pt]{classPres}
+\usepackage{./horloge}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Calcul mental}
+    \begin{center}
+        \huge 30 secondes par calcul
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    \LARGE
+    \begin{center}
+    \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.45}]
+        \clockAtick{10}{35}
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    \huge
+    \[
+        4 \times \cdots = 36
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    \LARGE
+    Compléter la valeur manquante
+
+    \begin{center}
+        \begin{tabular}{|c|*{2}{p{2cm}|}}
+        \hline
+        Nombre de sacs & 2 & 20 \\
+        \hline
+        Prix & ... & 10 \\
+        \hline
+    \end{tabular}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    \LARGE
+    Quel est le maximum?
+    \begin{center}
+        2,5 \hspace{2cm}
+        2,30 \hspace{2cm}
+        2,05 \hspace{2cm}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        \huge On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

6e/Calcul_Mental/P5/CM_18_05_14-2.tex

@@ -0,0 +1,63 @@
+\documentclass[a4paper,10pt]{classPres}
+\usepackage{./horloge}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Calcul mental}
+    \begin{center}
+        \huge 30 secondes par calcul
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    \LARGE
+    \begin{center}
+    \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.45}]
+        \clockAtick{1}{45}
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    \huge
+    \[
+        6 \times \cdots = 36
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    \LARGE
+    Compléter la valeur manquante
+
+    \begin{center}
+        \begin{tabular}{|c|*{2}{p{2cm}|}}
+        \hline
+        Quantité de farine & 2kg & 10kg \\
+        \hline
+        Prix & \ldots & 20\euro \\
+        \hline
+    \end{tabular}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    \LARGE
+    Quel est le maximum?
+    \begin{center}
+        234 \hspace{2cm}
+        43 \hspace{2cm}
+        53,3 \hspace{2cm}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        \huge On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

6e/Calcul_Mental/P5/CM_18_05_14-3.tex

@@ -0,0 +1,63 @@
+\documentclass[a4paper,10pt]{classPres}
+\usepackage{./horloge}
+
+\author{}
+\title{}
+\date{}
+
+\begin{document}
+\begin{frame}{Calcul mental}
+    \begin{center}
+        \huge 30 secondes par calcul
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 1}
+    \LARGE
+    \begin{center}
+    \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.45}]
+        \clockAtick{5}{50}
+    \end{tikzpicture}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 2}
+    \huge
+    \[
+        7 \times \cdots = 21
+    \]
+\end{frame}
+
+\begin{frame}{Calcul 3}
+    \LARGE
+    Compléter la valeur manquante
+
+    \begin{center}
+        \begin{tabular}{|c|*{2}{p{2cm}|}}
+        \hline
+        Quantité de fer & 5kg & 15kg \\
+        \hline
+        Prix & \ldots & 9\euro \\
+        \hline
+    \end{tabular}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Calcul 4}
+    \LARGE
+    Quel est le maximum?
+    \begin{center}
+        43,5 \hspace{2cm}
+        43 \hspace{2cm}
+        43,12 \hspace{2cm}
+    \end{center}
+\end{frame}
+
+\begin{frame}{Fin}
+    \begin{center}
+        \huge On retourne son papier.
+    \end{center}
+\end{frame}
+
+
+\end{document}

6e/Calcul_Mental/P5/horloge.sty

@@ -0,0 +1,140 @@
+
+\RequirePackage{contour}
+\newcommand{\clockAtick}[2]{%
+    % colors
+    \colorlet{minutes color}{blue!50!cyan!70!black}
+    \colorlet{bg hours 0}{yellow}
+    \colorlet{bg hours 1}{red!50}
+    \colorlet{hours color}{red!80!black}
+    % styles
+    \tikzset{
+      minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
+      minutes 0/.style={fill=minutes color,text=white,minutes},
+      minutes 1/.style={text=minutes color,fill=white,minutes},
+      minutes font/.style={font=\normalsize},
+      hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
+      mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
+    }
+    % radii
+    \def\bigradius{80mm}
+    \def\minuteradius{75mm}
+    \def\hourradius{60mm}
+    \def\minihourminradius{25mm}
+    \def\minihourmaxradius{45mm}
+    \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
+    \def\hourwidth{2mm}
+    \def\minutewidth{1mm}
+
+    % big circle
+    \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
+
+    % minutes marks
+    \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
+    in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
+
+    % hours marks
+    \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
+
+      \path (-\angle:\hourradius) node[hours]{\c};
+
+      \path[fill=bg hours \col]
+      (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
+      arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
+      arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
+
+      \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
+    }
+
+    % hands
+    \pgfmathsetmacro\hourangle{-#1*30-#2*.5}
+    \pgfmathsetmacro\minuteangle{-#2*6}
+    \fill[rotate=\hourangle,fill=hours color] ++(0,\hourwidth) arc(90:270:\hourwidth) -- ++(50mm,0)
+    -- ++(\hourwidth,\hourwidth) -- ++(-\hourwidth,\hourwidth) -- ++(-50mm,0) -- cycle ;
+    \fill[rotate=\minuteangle,fill=minutes color] ++(0,\minutewidth) arc(90:270:\minutewidth) -- ++(70mm,0)
+    -- ++(\minutewidth,\minutewidth) -- ++(-\minutewidth,\minutewidth) -- ++(-70mm,0) -- cycle ;
+}
+
+\newcommand{\clockBtick}[2]{%
+    \draw  (0,0) circle (2cm);
+    \foreach \angle / \label in
+    {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
+    210/8, 240/7, 270/6, 300/5, 330/4}
+    {
+        \draw (\angle:1.8cm) -- (\angle:2cm);
+        \draw (\angle:1.4cm) node{\textsf{\label}};
+    }
+    \foreach \angle[count=\c from 0] in {0,6,...,354}
+    {
+        \draw (\angle:1.9cm) -- (\angle:2cm);
+    }
+    \draw[rotate=90] (0,0) -- (-#1*30-#2*30/60:0.7cm); % hours
+    \draw[rotate=90] (0,0) -- (-#2*6:1.2cm); % minutes
+    \path [fill=black] (0,0) circle (3pt);
+    \path [fill=red] (0,0) circle (1.5pt);
+}
+
+\newcommand{\clockA}{%
+    % colors
+    \colorlet{minutes color}{blue!50!cyan!70!black}
+    \colorlet{bg hours 0}{yellow}
+    \colorlet{bg hours 1}{red!50}
+    \colorlet{hours color}{red!80!black}
+    % styles
+    \tikzset{
+      minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
+      minutes 0/.style={fill=minutes color,text=white,minutes},
+      minutes 1/.style={text=minutes color,fill=white,minutes},
+      minutes font/.style={font=\normalsize},
+      hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
+      mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
+    }
+    % radii
+    \def\bigradius{80mm}
+    \def\minuteradius{75mm}
+    \def\hourradius{60mm}
+    \def\minihourminradius{25mm}
+    \def\minihourmaxradius{45mm}
+    \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
+    \def\hourwidth{2mm}
+    \def\minutewidth{1mm}
+
+    % big circle
+    \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
+
+    % minutes marks
+    \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
+    in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
+
+    % hours marks
+    \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
+
+      \path (-\angle:\hourradius) node[hours]{\c};
+
+      \path[fill=bg hours \col]
+      (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
+      arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
+      arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
+
+      \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
+    }
+
+    \path [fill=black] (0,0) circle (3mm);
+    \path [fill=red] (0,0) circle (1.5mm);
+}
+
+\newcommand{\clockB}{%
+    \draw  (0,0) circle (2cm);
+    \foreach \angle / \label in
+    {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
+    210/8, 240/7, 270/6, 300/5, 330/4}
+    {
+        \draw (\angle:1.8cm) -- (\angle:2cm);
+        \draw (\angle:1.4cm) node{\textsf{\label}};
+    }
+    \foreach \angle[count=\c from 0] in {0,6,...,354}
+    {
+        \draw (\angle:1.9cm) -- (\angle:2cm);
+    }
+    \path [fill=black] (0,0) circle (3pt);
+    \path [fill=red] (0,0) circle (1.5pt);
+}