From 2d1da81faf96b8c3918e93c887ab419c971ef2ec Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Fri, 9 Mar 2018 11:24:18 +0300 Subject: [PATCH] =?UTF-8?q?D=C3=A9but=20de=20la=20s=C3=A9quence=20sur=20le?= =?UTF-8?q?=20temps=20pour=20les=206e?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 6e/Unites/Temps/E2_horloges.pdf | Bin 0 -> 37288 bytes 6e/Unites/Temps/E2_horloges.tex | 125 ++++++++++++++++++++++++++ 6e/Unites/Temps/E3_horloges_vides.pdf | Bin 0 -> 33480 bytes 6e/Unites/Temps/E3_horloges_vides.tex | 117 ++++++++++++++++++++++++ 6e/Unites/Temps/index.rst | 14 ++- 5 files changed, 253 insertions(+), 3 deletions(-) create mode 100644 6e/Unites/Temps/E2_horloges.pdf create mode 100644 6e/Unites/Temps/E2_horloges.tex create mode 100644 6e/Unites/Temps/E3_horloges_vides.pdf create mode 100644 6e/Unites/Temps/E3_horloges_vides.tex diff --git a/6e/Unites/Temps/E2_horloges.pdf b/6e/Unites/Temps/E2_horloges.pdf new file mode 100644 index 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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{\clockB}[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); +} + +\begin{document} + +Donne les heures correspondantes à chacune des horloges. + +\vspace{4cm} + +\hspace{5cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.5}] + \clockA{7}{30} +\end{tikzpicture} + +\vspace{6cm} +\hspace{2cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}] + \clockA{15}{27} +\end{tikzpicture} +\hspace{6cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}] + \clockA{9}{55} +\end{tikzpicture} + +\vspace{4cm} +\hspace{1cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB{9}{5} +\end{tikzpicture} +\hspace{4cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB{1}{15} +\end{tikzpicture} +\hspace{4cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB{5}{30} +\end{tikzpicture} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/6e/Unites/Temps/E3_horloges_vides.pdf b/6e/Unites/Temps/E3_horloges_vides.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ed4c1d88b0cbd8e4696ef30e0cb27aff056c3411 GIT binary patch literal 33480 zcmZs?Wl&u~v#1RT?gV#-;IMIb*Wm7K+}+(>gL`l%xCIFAZb3Hg?v`)oJ@=gRRo%O) z|E%e$sj2Cao_>0$l*J_(S(!KxsAd)hR}eT!Sx6mBtP%M65t!x8?JZm_NdX)@EF7f& 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PnK_tX$jQYOC1Cy!8O4af literal 0 HcmV?d00001 diff --git a/6e/Unites/Temps/E3_horloges_vides.tex b/6e/Unites/Temps/E3_horloges_vides.tex new file mode 100644 index 0000000..4e2f0d3 --- /dev/null +++ b/6e/Unites/Temps/E3_horloges_vides.tex @@ -0,0 +1,117 @@ +\documentclass[a5paper,12pt]{article} +\usepackage{myXsim} + +\date{Mars 2018} +\title{Lire l'heure} +\tribe{Sixième} + +\pagestyle{empty} + +\RequirePackage{contour} +\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); +} + +\begin{document} + +~ +\vspace{3cm} + +\hspace{5cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.5}] + \clockA +\end{tikzpicture} + +\vspace{6cm} +\hspace{2cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}] + \clockA +\end{tikzpicture} +\hspace{6cm} +\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.3}] + \clockA +\end{tikzpicture} + +\vspace{5cm} +\hspace{1cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB +\end{tikzpicture} +\hspace{4cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB +\end{tikzpicture} +\hspace{4cm} +\begin{tikzpicture}[cap=round, transform canvas={scale=1}] + \clockB +\end{tikzpicture} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/6e/Unites/Temps/index.rst b/6e/Unites/Temps/index.rst index 86ba898..09cb4f8 100644 --- a/6e/Unites/Temps/index.rst +++ b/6e/Unites/Temps/index.rst @@ -2,7 +2,7 @@ Mesurer le temps avec les 6e pour l'année 2017-2018 ################################################### :date: 2018-02-24 -:modified: 2018-02-24 +:modified: 2018-03-09 :authors: Bertrand Benjamin :category: 6e :tags: Unité, Temps @@ -12,22 +12,30 @@ Mesurer le temps avec les 6e pour l'année 2017-2018 Étape 1 ======= -Brain storming sur la mesure du temps (outils, unités...) +On demande aux élèves par groupe de nous dire tout ce qu'ils savent sur le temps: +- Unités +- Outils de mesure +- Temps/durée connues +- Autre chose sur le temps Bilan avec tout ce qui est dit. Étape 2 ======= -Lecture de l'heure sur une horloge à aiguilles. +`Lecture de l'heure sur une horloge à aiguilles <./E2_horloges.pdf>`_ On pourra ajouter des questions du genre qu'elle heure sera-t-il 5min plus tard. +Bilan: Lecture de l'heure et utilisation des 2 aiguilles. + Étape 3 ======= Positionnement des aiguilles pour afficher l'heure. +`Fiche d'horloges dans aiguilles <./E3_horloges_vides.pdf>`_ + Étape 4 =======