Aire et perim sur le cercle pour les 6e
This commit is contained in:
parent
d3f068980a
commit
bce7359ed1
BIN
6e/Geometrie/Aire_perim_cercle/E2_tableau_rayon_perim.pdf
Normal file
BIN
6e/Geometrie/Aire_perim_cercle/E2_tableau_rayon_perim.pdf
Normal file
Binary file not shown.
49
6e/Geometrie/Aire_perim_cercle/E2_tableau_rayon_perim.tex
Normal file
49
6e/Geometrie/Aire_perim_cercle/E2_tableau_rayon_perim.tex
Normal file
@ -0,0 +1,49 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\author{}
|
||||
\date{Mars 2018}
|
||||
\title{Tableau rayon et périmètre du cercle}
|
||||
\tribe{Sixième}
|
||||
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{exercise}[subtitle={Rayon et périmètre}]
|
||||
Complète le tableau avec les mesures des disques à ta disposition puis répond aux questions.
|
||||
|
||||
\begin{tabular}{|c|*{6}{p{2cm}|}}
|
||||
\hline
|
||||
Rayon & & & & & & \\
|
||||
\hline
|
||||
Périmètre & & & & & & \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
|
||||
\bigskip
|
||||
|
||||
\begin{itemize}
|
||||
\item Expliquer votre méthode pour mesurer le périmètre des disques.
|
||||
\item Quel serait le périmètre d'un cercle de rayon 20cm?
|
||||
\item Expliquer votre méthode pour calculer le périmètre d'un cercle quand on connait son rayon.
|
||||
\item Quel serait le rayon d'un cercle de périmètre 100cm?
|
||||
\end{itemize}
|
||||
\end{exercise}
|
||||
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
\vfill
|
||||
\printexercise{exercise}{1}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
BIN
6e/Geometrie/Aire_perim_cercle/E5_TC_champs.pdf
Normal file
BIN
6e/Geometrie/Aire_perim_cercle/E5_TC_champs.pdf
Normal file
Binary file not shown.
32
6e/Geometrie/Aire_perim_cercle/E5_TC_champs.tex
Normal file
32
6e/Geometrie/Aire_perim_cercle/E5_TC_champs.tex
Normal file
@ -0,0 +1,32 @@
|
||||
\documentclass[a5paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\author{}
|
||||
\date{Mars 2018}
|
||||
\title{Le meilleur champs}
|
||||
\tribe{Sixième}
|
||||
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{exercise}[subtitle={Le meilleur champs}]
|
||||
Deux frères ont hérité de 3 champs. Ils doivent chacun en choisir un et le dernier sera donné à la ville. Voici les 3 champs:
|
||||
|
||||
\includegraphics[scale=0.9]{./fig/champs.pdf}
|
||||
|
||||
\begin{itemize}
|
||||
\item Le premier frère, Abdou, veut le champ avec le plus d'espace pour ses chèvres.
|
||||
\item Le deuxième, Ikam, est d'accord pour lui laisser ce champs. Par contre, il ne veut pas perdre trop de temps pour mettre une clôture. Il souhaite avoir le champ qui lui demandera le moins de clôture possible.
|
||||
\end{itemize}
|
||||
Quel champ vont prendre chacun des frères?
|
||||
\end{exercise}
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
BIN
6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.pdf
Normal file
BIN
6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.pdf
Normal file
Binary file not shown.
68
6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.tex
Normal file
68
6e/Geometrie/Aire_perim_cercle/G2_tableau_rayon_perim.tex
Normal file
@ -0,0 +1,68 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\author{}
|
||||
\date{Mars 2018}
|
||||
\title{Tableau rayon et périmètre du cercle}
|
||||
\tribe{Sixième}
|
||||
|
||||
|
||||
|
||||
\pagestyle{empty}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{multicols}{3}
|
||||
\noindent
|
||||
Groupe: \dotfill \\
|
||||
\noindent
|
||||
Date: \dotfill \\
|
||||
\noindent
|
||||
\end{multicols}
|
||||
|
||||
\vspace{-1cm}
|
||||
\begin{exercise}[subtitle={Rayon et périmètre}]
|
||||
|
||||
\begin{tabular}{|c|*{6}{p{2cm}|}}
|
||||
\hline
|
||||
Rayon & & & & & & \\
|
||||
\hline
|
||||
Périmètre & & & & & & \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
|
||||
\bigskip
|
||||
|
||||
Explications pour mesurer le périmètre du cercle
|
||||
~\\[0.5cm]
|
||||
\begin{minipage}{0.5\textwidth}
|
||||
. \dotfill \\[0.3cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
\end{minipage}
|
||||
|
||||
Explications pour calculer le périmètre quand on connait le rayon
|
||||
~\\[0.5cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
. \dotfill \\[0.3cm]
|
||||
\end{exercise}
|
||||
\vfill
|
||||
\begin{multicols}{3}
|
||||
\noindent
|
||||
Groupe: \dotfill \\
|
||||
\noindent
|
||||
Date: \dotfill \\
|
||||
\noindent
|
||||
\end{multicols}
|
||||
|
||||
\vspace{-1cm}
|
||||
\printexercise{exercise}{1}
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
BIN
6e/Geometrie/Aire_perim_cercle/fig/champs.pdf
Normal file
BIN
6e/Geometrie/Aire_perim_cercle/fig/champs.pdf
Normal file
Binary file not shown.
224
6e/Geometrie/Aire_perim_cercle/fig/champs.svg
Normal file
224
6e/Geometrie/Aire_perim_cercle/fig/champs.svg
Normal file
@ -0,0 +1,224 @@
|
||||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
||||
xmlns:cc="http://creativecommons.org/ns#"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:svg="http://www.w3.org/2000/svg"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
width="127.56269mm"
|
||||
height="30.054155mm"
|
||||
viewBox="0 0 127.56269 30.054155"
|
||||
version="1.1"
|
||||
id="svg8"
|
||||
inkscape:version="0.92.2 5c3e80d, 2017-08-06"
|
||||
sodipodi:docname="champs.svg">
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
inkscape:stockid="Arrow1Mend"
|
||||
orient="auto"
|
||||
refY="0"
|
||||
refX="0"
|
||||
id="Arrow1Mend"
|
||||
style="overflow:visible"
|
||||
inkscape:isstock="true">
|
||||
<path
|
||||
id="path855"
|
||||
d="M 0,0 5,-5 -12.5,0 5,5 Z"
|
||||
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
|
||||
transform="matrix(-0.4,0,0,-0.4,-4,0)"
|
||||
inkscape:connector-curvature="0" />
|
||||
</marker>
|
||||
<marker
|
||||
inkscape:stockid="Arrow1Mstart"
|
||||
orient="auto"
|
||||
refY="0"
|
||||
refX="0"
|
||||
id="Arrow1Mstart"
|
||||
style="overflow:visible"
|
||||
inkscape:isstock="true">
|
||||
<path
|
||||
id="path852"
|
||||
d="M 0,0 5,-5 -12.5,0 5,5 Z"
|
||||
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
|
||||
transform="matrix(0.4,0,0,0.4,4,0)"
|
||||
inkscape:connector-curvature="0" />
|
||||
</marker>
|
||||
</defs>
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="1.0973909"
|
||||
inkscape:cx="140.93417"
|
||||
inkscape:cy="89.681468"
|
||||
inkscape:document-units="mm"
|
||||
inkscape:current-layer="layer1"
|
||||
showgrid="false"
|
||||
inkscape:snap-intersection-paths="true"
|
||||
inkscape:object-paths="true"
|
||||
fit-margin-top="0"
|
||||
fit-margin-left="0"
|
||||
fit-margin-right="0"
|
||||
fit-margin-bottom="0"
|
||||
inkscape:window-width="1680"
|
||||
inkscape:window-height="1022"
|
||||
inkscape:window-x="1366"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1" />
|
||||
<metadata
|
||||
id="metadata5">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
<dc:title></dc:title>
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Calque 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
transform="translate(-11.172407,-136.13989)">
|
||||
<g
|
||||
id="g2837"
|
||||
transform="translate(-4.8875809e-7,2.9450609)">
|
||||
<circle
|
||||
r="12.361981"
|
||||
cy="148.22191"
|
||||
cx="23.887167"
|
||||
id="path815"
|
||||
style="opacity:1;vector-effect:none;fill:#399433;fill-opacity:0.63809527;fill-rule:nonzero;stroke:#000000;stroke-width:0.70555556;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
|
||||
<g
|
||||
style="fill:#399433;fill-opacity:0.63809527;stroke-width:1.76470625;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
transform="matrix(0.39981473,0,0,0.39981473,9.8457109,77.39511)"
|
||||
id="g842">
|
||||
<path
|
||||
style="fill:#399433;fill-opacity:0.63809527;stroke:#000000;stroke-width:1.76470625;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
|
||||
d="m 37.336212,174.93275 -4.43261,4.43261"
|
||||
id="path823"
|
||||
inkscape:connector-curvature="0" />
|
||||
<path
|
||||
style="fill:#399433;fill-opacity:0.63809527;stroke:#000000;stroke-width:1.76470625;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
|
||||
d="m 32.903602,174.93275 4.43261,4.43261"
|
||||
id="path823-3"
|
||||
inkscape:connector-curvature="0" />
|
||||
</g>
|
||||
<path
|
||||
sodipodi:nodetypes="cc"
|
||||
inkscape:connector-curvature="0"
|
||||
id="path844"
|
||||
d="m 24.773278,147.3358 6.607758,-7.30439"
|
||||
style="fill:none;stroke:#000000;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#Arrow1Mstart);marker-end:url(#Arrow1Mend)" />
|
||||
<text
|
||||
id="text2806"
|
||||
y="148.48106"
|
||||
x="27.726749"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332"
|
||||
y="148.48106"
|
||||
x="27.726749"
|
||||
id="tspan2804"
|
||||
sodipodi:role="line">8m</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g2844"
|
||||
transform="translate(-2.8818606,0.83438971)">
|
||||
<rect
|
||||
y="135.65828"
|
||||
x="53.516426"
|
||||
height="24.645042"
|
||||
width="39.557278"
|
||||
id="rect817"
|
||||
style="opacity:1;vector-effect:none;fill:#399433;fill-opacity:0.63809527;fill-rule:nonzero;stroke:#000000;stroke-width:0.70555556;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
|
||||
<text
|
||||
id="text2810"
|
||||
y="165.29971"
|
||||
x="68.562538"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332"
|
||||
y="165.29971"
|
||||
x="68.562538"
|
||||
id="tspan2808"
|
||||
sodipodi:role="line">25m</tspan></text>
|
||||
<text
|
||||
transform="rotate(-90)"
|
||||
id="text2814"
|
||||
y="51.951649"
|
||||
x="-152.01562"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332"
|
||||
y="51.951649"
|
||||
x="-152.01562"
|
||||
id="tspan2812"
|
||||
sodipodi:role="line">10m</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g2864"
|
||||
transform="translate(-2.169933)">
|
||||
<path
|
||||
inkscape:connector-curvature="0"
|
||||
id="path819"
|
||||
d="m 107.28564,136.90114 v 24.60427 h 32.56721 z"
|
||||
style="fill:#399433;fill-opacity:0.63809527;stroke:#000000;stroke-width:0.70555556;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
|
||||
<g
|
||||
id="g2853">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
x="-153.75786"
|
||||
y="105.18241"
|
||||
id="text2818"
|
||||
transform="rotate(-90)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2816"
|
||||
x="-153.75786"
|
||||
y="105.18241"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332">20m</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
x="119.18642"
|
||||
y="166.08151"
|
||||
id="text2822"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2820"
|
||||
x="119.18642"
|
||||
y="166.08151"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332">20m</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
|
||||
x="189.10883"
|
||||
y="16.545233"
|
||||
id="text2826"
|
||||
transform="rotate(45)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2824"
|
||||
x="189.10883"
|
||||
y="16.545233"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332">28m</tspan></text>
|
||||
<rect
|
||||
style="opacity:1;vector-effect:none;fill:none;fill-opacity:0.63809527;fill-rule:nonzero;stroke:#000000;stroke-width:0.70555556;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2828"
|
||||
width="3.7419147"
|
||||
height="3.7419147"
|
||||
x="107.28564"
|
||||
y="157.76349" />
|
||||
</g>
|
||||
</g>
|
||||
</g>
|
||||
</svg>
|
After Width: | Height: | Size: 10 KiB |
@ -2,7 +2,7 @@ Aire et périmètre du cercle 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: Geométrie, Aire, Périmètre
|
||||
@ -17,17 +17,21 @@ Révision sur le calcul d'aire et de périmètre avec découverte de l'aire du t
|
||||
Étape 2
|
||||
=======
|
||||
|
||||
Comment mesurer le périmètre d'un cercle. On donne 4 disques aux élèves et on leurs demande de mesurer leur rayon et leur périmètre. Ils inscrivent chaque mesure dans un tableau.
|
||||
Comment mesurer le périmètre d'un cercle. On donne 4 disques aux élèves et on leurs demande de mesurer leur rayon et leur périmètre. Ils inscrivent chaque mesure dans un `tableau de proportionnalité <./E2_tableau_rayon_perim.pdf>`_ .
|
||||
|
||||
`Liens Rayon-Périmètre - fiche de groupe <./G2_tableau_rayon_perim.pdf>`_
|
||||
|
||||
Bilan1: méthode de rouler sur un axe et avec un morceau de ficelle.
|
||||
Bilan2: multiplication pour passer du rayon au périmètre.
|
||||
|
||||
Extension possible: calculer le rayon du badamier.
|
||||
Extension possible: calculer le rayon du badamier ou d'une colonne du collège.
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
Cercle où l'on cherche à calculer le périmètre.
|
||||
Cercles où l'on cherche à calculer le périmètre en live au tableau.
|
||||
|
||||
Aller vers le calcul du périmètre du coeur.
|
||||
|
||||
Étape 4
|
||||
=======
|
||||
@ -37,7 +41,7 @@ Formule de l'aire du cercle et exercices en live.
|
||||
Étape 5
|
||||
=======
|
||||
|
||||
Tache complexe: 2 fermiers choisissent un champ parmi 3 dispos (rond, triangle, rectangle)
|
||||
Tache complexe: `2 fermiers choisissent un champ <./E5_TC_champs.pdf>`_ parmi 3 dispos (rond, triangle, rectangle)
|
||||
- 1 veut le plus de place pour ses poules
|
||||
- l'autre veut utiliser le moins de grillage possible.
|
||||
|
||||
|
Loading…
Reference in New Issue
Block a user