Début de la séquence sur le temps pour les 6e
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6e/Unites/Temps/E2_horloges.pdf
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6e/Unites/Temps/E2_horloges.pdf
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6e/Unites/Temps/E2_horloges.tex
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6e/Unites/Temps/E2_horloges.tex
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\documentclass[a5paper,12pt]{article}
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\usepackage{myXsim}
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\date{Mars 2018}
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\title{Lire l'heure}
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\tribe{Sixième}
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\pagestyle{empty}
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\RequirePackage{contour}
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\newcommand{\clockA}[2]{%
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% colors
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\colorlet{minutes color}{blue!50!cyan!70!black}
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\colorlet{bg hours 0}{yellow}
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\colorlet{bg hours 1}{red!50}
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\colorlet{hours color}{red!80!black}
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% styles
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\tikzset{
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minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
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minutes 0/.style={fill=minutes color,text=white,minutes},
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minutes 1/.style={text=minutes color,fill=white,minutes},
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minutes font/.style={font=\normalsize},
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hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
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mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
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}
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% radii
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\def\bigradius{80mm}
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\def\minuteradius{75mm}
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\def\hourradius{60mm}
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\def\minihourminradius{25mm}
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\def\minihourmaxradius{45mm}
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\pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
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\def\hourwidth{2mm}
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\def\minutewidth{1mm}
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% big circle
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\filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
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% minutes marks
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\foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
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in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
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% hours marks
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\foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
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\path (-\angle:\hourradius) node[hours]{\c};
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\path[fill=bg hours \col]
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(-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
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arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
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arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
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\path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
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}
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% hands
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\pgfmathsetmacro\hourangle{-#1*30-#2*.5}
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\pgfmathsetmacro\minuteangle{-#2*6}
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\fill[rotate=\hourangle,fill=hours color] ++(0,\hourwidth) arc(90:270:\hourwidth) -- ++(50mm,0)
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-- ++(\hourwidth,\hourwidth) -- ++(-\hourwidth,\hourwidth) -- ++(-50mm,0) -- cycle ;
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\fill[rotate=\minuteangle,fill=minutes color] ++(0,\minutewidth) arc(90:270:\minutewidth) -- ++(70mm,0)
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-- ++(\minutewidth,\minutewidth) -- ++(-\minutewidth,\minutewidth) -- ++(-70mm,0) -- cycle ;
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}
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\newcommand{\clockB}[2]{%
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\draw (0,0) circle (2cm);
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\foreach \angle / \label in
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{0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
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210/8, 240/7, 270/6, 300/5, 330/4}
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{
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\draw (\angle:1.8cm) -- (\angle:2cm);
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\draw (\angle:1.4cm) node{\textsf{\label}};
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}
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\foreach \angle[count=\c from 0] in {0,6,...,354}
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{
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\draw (\angle:1.9cm) -- (\angle:2cm);
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}
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\draw[rotate=90] (0,0) -- (-#1*30-#2*30/60:0.7cm); % hours
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\draw[rotate=90] (0,0) -- (-#2*6:1.2cm); % minutes
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\path [fill=black] (0,0) circle (3pt);
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\path [fill=red] (0,0) circle (1.5pt);
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}
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\begin{document}
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Donne les heures correspondantes à chacune des horloges.
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\vspace{4cm}
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\hspace{5cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.5}]
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\clockA{7}{30}
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\end{tikzpicture}
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\vspace{6cm}
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\hspace{2cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}]
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\clockA{15}{27}
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\end{tikzpicture}
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\hspace{6cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}]
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\clockA{9}{55}
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\end{tikzpicture}
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\vspace{4cm}
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\hspace{1cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB{9}{5}
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\end{tikzpicture}
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\hspace{4cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB{1}{15}
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\end{tikzpicture}
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\hspace{4cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB{5}{30}
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\end{tikzpicture}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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6e/Unites/Temps/E3_horloges_vides.pdf
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6e/Unites/Temps/E3_horloges_vides.pdf
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6e/Unites/Temps/E3_horloges_vides.tex
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6e/Unites/Temps/E3_horloges_vides.tex
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\documentclass[a5paper,12pt]{article}
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\usepackage{myXsim}
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\date{Mars 2018}
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\title{Lire l'heure}
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\tribe{Sixième}
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\pagestyle{empty}
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\RequirePackage{contour}
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\newcommand{\clockA}{%
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% colors
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\colorlet{minutes color}{blue!50!cyan!70!black}
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\colorlet{bg hours 0}{yellow}
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\colorlet{bg hours 1}{red!50}
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\colorlet{hours color}{red!80!black}
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% styles
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\tikzset{
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minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
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minutes 0/.style={fill=minutes color,text=white,minutes},
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minutes 1/.style={text=minutes color,fill=white,minutes},
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minutes font/.style={font=\normalsize},
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hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
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mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
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}
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% radii
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\def\bigradius{80mm}
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\def\minuteradius{75mm}
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\def\hourradius{60mm}
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\def\minihourminradius{25mm}
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\def\minihourmaxradius{45mm}
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\pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
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\def\hourwidth{2mm}
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\def\minutewidth{1mm}
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% big circle
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\filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
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% minutes marks
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\foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
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in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
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% hours marks
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\foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
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\path (-\angle:\hourradius) node[hours]{\c};
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\path[fill=bg hours \col]
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(-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
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arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
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arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
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\path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
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}
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\path [fill=black] (0,0) circle (3mm);
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\path [fill=red] (0,0) circle (1.5mm);
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}
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\newcommand{\clockB}{%
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\draw (0,0) circle (2cm);
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\foreach \angle / \label in
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{0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
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210/8, 240/7, 270/6, 300/5, 330/4}
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{
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\draw (\angle:1.8cm) -- (\angle:2cm);
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\draw (\angle:1.4cm) node{\textsf{\label}};
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}
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\foreach \angle[count=\c from 0] in {0,6,...,354}
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{
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\draw (\angle:1.9cm) -- (\angle:2cm);
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}
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\path [fill=black] (0,0) circle (3pt);
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\path [fill=red] (0,0) circle (1.5pt);
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}
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\begin{document}
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~
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\vspace{3cm}
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\hspace{5cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.5}]
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\clockA
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\end{tikzpicture}
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\vspace{6cm}
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\hspace{2cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}]
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\clockA
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\end{tikzpicture}
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\hspace{6cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}]
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\clockA
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\end{tikzpicture}
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\vspace{5cm}
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\hspace{1cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB
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\end{tikzpicture}
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\hspace{4cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB
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\end{tikzpicture}
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\hspace{4cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=1}]
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\clockB
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\end{tikzpicture}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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@ -2,7 +2,7 @@ Mesurer le temps avec les 6e pour l'année 2017-2018
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###################################################
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:date: 2018-02-24
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:modified: 2018-02-24
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:modified: 2018-03-09
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:authors: Bertrand Benjamin
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:category: 6e
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:tags: Unité, Temps
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@ -12,22 +12,30 @@ Mesurer le temps avec les 6e pour l'année 2017-2018
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Étape 1
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=======
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Brain storming sur la mesure du temps (outils, unités...)
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On demande aux élèves par groupe de nous dire tout ce qu'ils savent sur le temps:
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- Unités
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- Outils de mesure
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- Temps/durée connues
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- Autre chose sur le temps
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Bilan avec tout ce qui est dit.
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Étape 2
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=======
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Lecture de l'heure sur une horloge à aiguilles.
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`Lecture de l'heure sur une horloge à aiguilles <./E2_horloges.pdf>`_
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On pourra ajouter des questions du genre qu'elle heure sera-t-il 5min plus tard.
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Bilan: Lecture de l'heure et utilisation des 2 aiguilles.
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Étape 3
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=======
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Positionnement des aiguilles pour afficher l'heure.
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`Fiche d'horloges dans aiguilles <./E3_horloges_vides.pdf>`_
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Étape 4
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=======
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