Mesurer le poids avec les 6e
This commit is contained in:
parent
75f5398d09
commit
ed34cd6590
BIN
6e/Unites/Poids_fraction/Bilan_mesurer_poids.pdf
Normal file
BIN
6e/Unites/Poids_fraction/Bilan_mesurer_poids.pdf
Normal file
Binary file not shown.
59
6e/Unites/Poids_fraction/Bilan_mesurer_poids.tex
Normal file
59
6e/Unites/Poids_fraction/Bilan_mesurer_poids.tex
Normal file
@ -0,0 +1,59 @@
|
|||||||
|
\documentclass[a5paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
\date{Octobre 2017}
|
||||||
|
\title{Comment mesure-t-on un poids avec une balance?}
|
||||||
|
\tribe{Sixième}
|
||||||
|
|
||||||
|
\pagestyle{empty}
|
||||||
|
\geometry{left=10mm,right=10mm, top=10mm}
|
||||||
|
|
||||||
|
\newcommand{\lecours}{%
|
||||||
|
\textbf{Comment mesure-t-on un poids avec une balance?}
|
||||||
|
|
||||||
|
\medskip
|
||||||
|
\begin{minipage}{0.4\textwidth}
|
||||||
|
\includegraphics[scale=0.7]{./fig/balance_equi}
|
||||||
|
\end{minipage}
|
||||||
|
\begin{minipage}{0.55\textwidth}
|
||||||
|
Nous devons mettre des poids d’un côté pour que la flèche soit au centre.
|
||||||
|
|
||||||
|
Ici, la banane pèse \dotfill
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
La flèche penche toujours du côté le plus lourd.
|
||||||
|
|
||||||
|
\begin{minipage}{0.4\textwidth}
|
||||||
|
\includegraphics[scale=0.7]{./fig/balance_trop}
|
||||||
|
\end{minipage}
|
||||||
|
\begin{minipage}{0.5\textwidth}
|
||||||
|
Il y a trop de poids, il faut en \\[0.2cm] \parbox{4cm}{\dotfill}
|
||||||
|
|
||||||
|
Ici, la banane pèse \dotfill
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
\begin{minipage}{0.4\textwidth}
|
||||||
|
\includegraphics[scale=0.7]{./fig/balance_moins}
|
||||||
|
\end{minipage}
|
||||||
|
\begin{minipage}{0.5\textwidth}
|
||||||
|
Il n'y a pas assez de poids, il faut en \\[0.2cm] \parbox{4cm}{\dotfill}
|
||||||
|
|
||||||
|
Ici, la banane pèse \dotfill
|
||||||
|
\end{minipage}
|
||||||
|
}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\lecours
|
||||||
|
|
||||||
|
\vfill
|
||||||
|
|
||||||
|
\lecours
|
||||||
|
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "master"
|
||||||
|
%%% End:
|
||||||
|
|
BIN
6e/Unites/Poids_fraction/E1_peser_trousse.pdf
Normal file
BIN
6e/Unites/Poids_fraction/E1_peser_trousse.pdf
Normal file
Binary file not shown.
45
6e/Unites/Poids_fraction/E1_peser_trousse.tex
Normal file
45
6e/Unites/Poids_fraction/E1_peser_trousse.tex
Normal file
@ -0,0 +1,45 @@
|
|||||||
|
\documentclass[a5paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
\date{Octobre 2017}
|
||||||
|
\title{Peser sa trousse.}
|
||||||
|
\tribe{Sixième}
|
||||||
|
|
||||||
|
\pagestyle{empty}
|
||||||
|
\geometry{left=10mm,right=10mm, top=5mm}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Peser sa trousse \Cher \Rep}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Chaque élève du groupe pèse sa trousse. On écrit les résultats dans le tableau.
|
||||||
|
|
||||||
|
\begin{tabular}{|p{4cm}|p{5cm}|}
|
||||||
|
\hline
|
||||||
|
Nom de l'élève & Poids \\
|
||||||
|
\hline
|
||||||
|
& \\
|
||||||
|
\hline
|
||||||
|
& \\
|
||||||
|
\hline
|
||||||
|
& \\
|
||||||
|
\hline
|
||||||
|
& \\
|
||||||
|
\hline
|
||||||
|
& \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
\item Qui a la trousse la plus lourde?
|
||||||
|
\item Combien pèse la trousse la plus légère?
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
\vspace{-0.5cm}
|
||||||
|
\printexercise{exercise}{1}
|
||||||
|
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "master"
|
||||||
|
%%% End:
|
||||||
|
|
142
6e/Unites/Poids_fraction/fig/balance.svg
Normal file
142
6e/Unites/Poids_fraction/fig/balance.svg
Normal file
@ -0,0 +1,142 @@
|
|||||||
|
<?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="58.527096mm"
|
||||||
|
height="38.271023mm"
|
||||||
|
viewBox="0 0 58.527096 38.271023"
|
||||||
|
version="1.1"
|
||||||
|
id="svg8"
|
||||||
|
inkscape:version="0.92.2 5c3e80d, 2017-08-06"
|
||||||
|
sodipodi:docname="balance.svg">
|
||||||
|
<defs
|
||||||
|
id="defs2">
|
||||||
|
<marker
|
||||||
|
inkscape:stockid="Arrow1Lend"
|
||||||
|
orient="auto"
|
||||||
|
refY="0"
|
||||||
|
refX="0"
|
||||||
|
id="Arrow1Lend"
|
||||||
|
style="overflow:visible"
|
||||||
|
inkscape:isstock="true">
|
||||||
|
<path
|
||||||
|
id="path835"
|
||||||
|
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(-0.8,0,0,-0.8,-10,0)"
|
||||||
|
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="1.979899"
|
||||||
|
inkscape:cx="10.583539"
|
||||||
|
inkscape:cy="161.454"
|
||||||
|
inkscape:document-units="mm"
|
||||||
|
inkscape:current-layer="layer1"
|
||||||
|
showgrid="false"
|
||||||
|
fit-margin-top="0"
|
||||||
|
fit-margin-left="0"
|
||||||
|
fit-margin-right="0"
|
||||||
|
fit-margin-bottom="0"
|
||||||
|
inkscape:window-width="1920"
|
||||||
|
inkscape:window-height="1052"
|
||||||
|
inkscape:window-x="0"
|
||||||
|
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(-39.885937,-38.417866)">
|
||||||
|
<g
|
||||||
|
id="g1176">
|
||||||
|
<path
|
||||||
|
inkscape:connector-curvature="0"
|
||||||
|
id="path815"
|
||||||
|
d="M 48.643053,55.922886 69.089171,76.369004"
|
||||||
|
style="fill:none;stroke:#000000;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1" />
|
||||||
|
<path
|
||||||
|
inkscape:connector-curvature="0"
|
||||||
|
id="path815-3"
|
||||||
|
d="M 89.53529,55.922885 69.089171,76.369004 V 44.795387"
|
||||||
|
style="fill:none;stroke:#000000;stroke-width:0.26499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1Lend)" />
|
||||||
|
</g>
|
||||||
|
<path
|
||||||
|
style="fill:none;stroke:#000000;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
d="m 40.018229,53.512462 v 2.456845 0 h 18.42634 v -2.315104"
|
||||||
|
id="path1114"
|
||||||
|
inkscape:connector-curvature="0" />
|
||||||
|
<path
|
||||||
|
style="fill:none;stroke:#000000;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
d="m 79.8544,53.425605 v 2.456845 0 h 18.42634 v -2.315104"
|
||||||
|
id="path1114-6"
|
||||||
|
inkscape:connector-curvature="0" />
|
||||||
|
<g
|
||||||
|
transform="matrix(0.0275747,0,0,0.0275747,41.650746,40.311117)"
|
||||||
|
id="g10">
|
||||||
|
<g
|
||||||
|
id="g8">
|
||||||
|
<g
|
||||||
|
id="g6">
|
||||||
|
<path
|
||||||
|
inkscape:connector-curvature="0"
|
||||||
|
d="M 443.053,8.694 C 438.67,2.6 431.352,-0.681 423.892,0.119 L 356.651,7.26 C 342.595,8.752 334.056,23.511 339.741,36.435 410.815,198.013 249.616,392.418 71.495,352.556 37.858,345.03 5.104,368.491 1.461,402.785 c -2.325,21.888 8.318,43.574 27.114,55.251 134.819,83.749 297.45,67.612 396.757,-31.696 C 534.505,317.167 537.774,140.418 443.053,8.694 Z m -27.072,34.267 c 7.542,11.338 14.351,23.103 20.382,35.211 L 395.59,81.19 c -1.764,-12.019 -4.391,-23.781 -7.866,-35.228 z m -20.182,353.846 c -87.23,87.229 -229.175,97.816 -345.186,25.75 -15.419,-9.577 -5.727,-33.162 11.761,-29.243 167.434,37.465 333.316,-101.558 335.888,-270.443 19.548,-1.446 5.457,-0.404 54.964,-4.068 32.494,96.675 15.866,204.711 -57.427,278.004 z"
|
||||||
|
id="path2" />
|
||||||
|
<path
|
||||||
|
inkscape:connector-curvature="0"
|
||||||
|
d="m 414.533,281.027 c -10.632,-4.476 -22.875,0.518 -27.348,11.147 -18.345,43.588 -52.468,77.711 -96.084,96.081 -10.629,4.476 -15.616,16.722 -11.14,27.351 4.476,10.627 16.719,15.618 27.351,11.14 53.73,-22.63 95.766,-64.669 118.366,-118.372 4.475,-10.628 -0.516,-22.873 -11.145,-27.347 z"
|
||||||
|
id="path4" />
|
||||||
|
</g>
|
||||||
|
</g>
|
||||||
|
</g>
|
||||||
|
<circle
|
||||||
|
style="opacity:1;fill:#9a9a9a;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.26499999;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.86559143"
|
||||||
|
id="path1145"
|
||||||
|
cx="84.169754"
|
||||||
|
cy="50.278278"
|
||||||
|
r="3.6081386" />
|
||||||
|
<circle
|
||||||
|
style="opacity:1;fill:#9a9a9a;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.26499999;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.86559143"
|
||||||
|
id="path1145-7"
|
||||||
|
cx="93.360115"
|
||||||
|
cy="50.370533"
|
||||||
|
r="3.6081386" />
|
||||||
|
<circle
|
||||||
|
style="opacity:1;fill:#9a9a9a;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.26499999;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.86559143"
|
||||||
|
id="path1145-5"
|
||||||
|
cx="84.149971"
|
||||||
|
cy="42.338539"
|
||||||
|
r="3.6081386" />
|
||||||
|
<circle
|
||||||
|
style="opacity:1;fill:#9a9a9a;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.26499999;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:0.86559143"
|
||||||
|
id="path1145-5-3"
|
||||||
|
cx="93.009796"
|
||||||
|
cy="42.158504"
|
||||||
|
r="3.6081386" />
|
||||||
|
</g>
|
||||||
|
</svg>
|
After Width: | Height: | Size: 6.1 KiB |
BIN
6e/Unites/Poids_fraction/fig/balance_equi.pdf
Normal file
BIN
6e/Unites/Poids_fraction/fig/balance_equi.pdf
Normal file
Binary file not shown.
BIN
6e/Unites/Poids_fraction/fig/balance_moins.pdf
Normal file
BIN
6e/Unites/Poids_fraction/fig/balance_moins.pdf
Normal file
Binary file not shown.
BIN
6e/Unites/Poids_fraction/fig/balance_trop.pdf
Normal file
BIN
6e/Unites/Poids_fraction/fig/balance_trop.pdf
Normal file
Binary file not shown.
@ -2,25 +2,21 @@ Mesurer des poids et comparer les fractions avec les 6e pour l'année 2017-2018
|
|||||||
##############################################################################
|
##############################################################################
|
||||||
|
|
||||||
:date: 2017-10-19
|
:date: 2017-10-19
|
||||||
:modified: 2017-10-19
|
:modified: 2017-10-23
|
||||||
:authors: Bertrand Benjamin
|
:authors: Bertrand Benjamin
|
||||||
:category: 6e
|
:category: 6e
|
||||||
:tags: Unité, Fractions
|
:tags: Unité, Fractions
|
||||||
:summary: Mesurer des poids en utilisant les fractions pour trouver des relations entre les fractions avec les 6e pour l'année 2017-2018.
|
:summary: Mesurer des poids en utilisant les fractions pour trouver des relations entre les fractions avec les 6e pour l'année 2017-2018.
|
||||||
|
|
||||||
|
|
||||||
/!\ Construire des poids et des fractions de poids sans liens avec leurs volumes.
|
|
||||||
|
|
||||||
Étape 1
|
Étape 1
|
||||||
=======
|
=======
|
||||||
|
|
||||||
Chaque groupe a une balance et un sac avec des ballons de poids. On demande à chaque équipe de nous dire qui a la trousse la plus lourde.
|
Chaque groupe a une balance et un sac avec des ballons de poids. Les élèves `pèsent leur trousse et comparent les poids <./E1_peser_trousse.pdf>`_.
|
||||||
|
|
||||||
Les élèves doivent découvrir comment utiliser la balance et s'approprier fractions de poids. Ils doivent être désorienté car les poids ne correspondent pas à leurs volumes.
|
Les élèves doivent découvrir comment utiliser la balance et s'approprier fractions de poids. Ils doivent être désorienté car les poids ne correspondent pas à leurs volumes.
|
||||||
|
|
||||||
Bilan de synthèse sur comment mesurer un poids avec une balance. On appuie sur la nécessité de vérifier l'homogénéité des poids.
|
Bilan de synthèse sur `comment mesurer un poids avec une balance <./Bilan_mesurer_poids.pdf>`_. On appuie sur la nécessité de vérifier l'homogénéité des poids entre eux.
|
||||||
|
|
||||||
/!\ dessin avec des balances.
|
|
||||||
|
|
||||||
Étape 2
|
Étape 2
|
||||||
=======
|
=======
|
||||||
|
Loading…
Reference in New Issue
Block a user