Séquence sur les angles pour les 6e
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\author{}
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\date{Mars 2018}
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\title{Mesures d'angles}
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\tribe{Sixième}
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Angle &
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\hline
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Famille&&&&&&&&&&&&&\\
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\hline
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Mesure&&&&&&&&&&&&&\\
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\hline
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\begin{itemize}
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\item La mesure des angles \textbf{aigus} est \dotfill
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\item La mesure des angles \textbf{droits} est \dotfill
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\item La mesure des angles \textbf{obtus} est \dotfill
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="282.3212"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="283.52344"
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sodipodi:role="line">130°</tspan></text>
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y="271.06363"
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x="78.715546"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="271.06363"
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y="252.26462"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="252.26462"
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x="105.71183"
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sodipodi:role="line">155°</tspan></text>
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y="202.86253"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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sodipodi:role="line">100°</tspan></text>
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="199.47433"
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sodipodi:role="line">20°</tspan></text>
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="192.58864"
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sodipodi:role="line">30°</tspan></text>
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
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y="185.37506"
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sodipodi:role="line">25°</tspan></text>
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|
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="262.53851"
|
||||
x="41.226791"
|
||||
id="tspan2454"
|
||||
sodipodi:role="line">3,5cm</tspan></text>
|
||||
<text
|
||||
id="text2460"
|
||||
y="283.08627"
|
||||
x="36.527046"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="283.08627"
|
||||
x="36.527046"
|
||||
id="tspan2458"
|
||||
sodipodi:role="line">2,5cm</tspan></text>
|
||||
<text
|
||||
id="text2464"
|
||||
y="291.50214"
|
||||
x="56.856213"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="291.50214"
|
||||
x="56.856213"
|
||||
id="tspan2462"
|
||||
sodipodi:role="line">3cm</tspan></text>
|
||||
<text
|
||||
id="text2468"
|
||||
y="287.78601"
|
||||
x="79.480629"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="287.78601"
|
||||
x="79.480629"
|
||||
id="tspan2466"
|
||||
sodipodi:role="line">3cm</tspan></text>
|
||||
<text
|
||||
id="text2472"
|
||||
y="265.05231"
|
||||
x="95.547218"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="265.05231"
|
||||
x="95.547218"
|
||||
id="tspan2470"
|
||||
sodipodi:role="line">5cm</tspan></text>
|
||||
<text
|
||||
id="text2476"
|
||||
y="223.19171"
|
||||
x="128.44553"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="223.19171"
|
||||
x="128.44553"
|
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id="tspan2474"
|
||||
sodipodi:role="line">10cm</tspan></text>
|
||||
<text
|
||||
id="text2480"
|
||||
y="208.43666"
|
||||
x="163.85762"
|
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|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
y="208.43666"
|
||||
x="163.85762"
|
||||
id="tspan2478"
|
||||
sodipodi:role="line">6cm</tspan></text>
|
||||
<text
|
||||
id="text2484"
|
||||
y="194.77458"
|
||||
x="173.14786"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
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y="194.77458"
|
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x="173.14786"
|
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id="tspan2482"
|
||||
sodipodi:role="line">5cm</tspan></text>
|
||||
<text
|
||||
id="text2488"
|
||||
y="183.29843"
|
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x="170.85262"
|
||||
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|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
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y="183.29843"
|
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|
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id="tspan2486"
|
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sodipodi:role="line">5cm</tspan></text>
|
||||
<text
|
||||
id="text2492"
|
||||
y="175.64766"
|
||||
x="161.78099"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;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:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
xml:space="preserve"><tspan
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:3.17499995px;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.37147501;stroke-miterlimit:4;stroke-dasharray:none"
|
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y="175.64766"
|
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x="161.78099"
|
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id="tspan2490"
|
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sodipodi:role="line">6cm</tspan></text>
|
||||
</g>
|
||||
<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"
|
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x="24.623953"
|
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y="231.95558"
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id="text2693"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2691"
|
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x="24.623953"
|
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y="231.95558"
|
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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">Constellation de Cassiopée</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;"
|
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x="117.31223"
|
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y="261.92249"
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id="text2697"><tspan
|
||||
sodipodi:role="line"
|
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id="tspan2695"
|
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x="117.31223"
|
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y="261.92249"
|
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style="stroke-width:0.26458332;-inkscape-font-specification:sans-serif;font-family:sans-serif;font-weight:normal;font-style:normal;font-stretch:normal;font-variant:normal;">Constellation du Scorpion</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:Consolas, 'Liberation Mono', Menlo, Courier, monospace;-inkscape-font-specification:'Consolas, Liberation Mono, Menlo, Courier, monospace';letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
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x="17.190306"
|
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y="165.28506"
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id="text2701"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2699"
|
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x="17.190306"
|
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y="168.36693"
|
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style="stroke-width:0.26458332" /></text>
|
||||
<flowRoot
|
||||
xml:space="preserve"
|
||||
id="flowRoot2703"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:16px;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"
|
||||
transform="matrix(0.26458333,0,0,0.26458333,0,152.94912)"><flowRegion
|
||||
id="flowRegion2705"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif"><rect
|
||||
id="rect2707"
|
||||
width="553.13354"
|
||||
height="85.165001"
|
||||
x="31.60763"
|
||||
y="20.284359"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif" /></flowRegion><flowPara
|
||||
id="flowPara2709"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:'sans-serif Bold'">Constellations</flowPara><flowPara
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:'sans-serif Bold'"
|
||||
id="flowPara2713" /><flowPara
|
||||
id="flowPara2711">Reproduit ces 2 constellations en respectant les angles et les mesures.</flowPara></flowRoot> </g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 46 KiB |
|
|
@ -2,7 +2,7 @@ Angles avec les 6e pour l'année 2017-2018
|
|||
#########################################
|
||||
|
||||
:date: 2018-02-24
|
||||
:modified: 2018-02-24
|
||||
:modified: 2018-03-08
|
||||
:authors: Bertrand Benjamin
|
||||
:category: 6e
|
||||
:tags: Geométrie, Angles
|
||||
|
|
@ -12,29 +12,30 @@ Angles avec les 6e pour l'année 2017-2018
|
|||
Étape 1
|
||||
=======
|
||||
|
||||
À partir d'une "production d'élève" d'une course 24du mans. Les élèves doivent trouver les angles droits et les angles erronés. Ensuite on classe les erreurs en fonction de plus de 90° et moins de 90°.
|
||||
À partir d'une `production d'élève <./24hMans_validite.pdf>`_ d'une course 24du mans. Les élèves doivent trouver les angles droits et les angles erronés.
|
||||
Quand ces angles seront trouvés, il faudra réfléchir à comment les désigner sans ambigüités. Ensuite on classe les erreurs en fonction de plus de 90° et moins de 90°.
|
||||
|
||||
Bilan: Définition d'angle aigu et obtus. On introduit la notation d'un angle (la vraie avec les 3 lettres et le chapeau).
|
||||
Bilan: `Définition d'angle aigu et obtus <./B1_voca_angle.pdf>`_ On introduit la notation d'un angle (la vraie avec les 3 lettres et le chapeau).
|
||||
|
||||
Étape 2
|
||||
=======
|
||||
|
||||
Un dessin avec pleins d'angles. Les élèves cherchent les angles droits, les obtus et les aigus et les rangent par familles.
|
||||
Les élèves cherchent les angles droits, les obtus et les aigus et les rangent par familles dans un superbe `space invader amoché <./E2_space_invader.pdf>`_. Les élèves peuvent commencer par marquer les angles avec des couleurs différentes puis en groupe établir la liste des angles trouvées. Il sera aussi surement nécessaire de nommer les points de la figure.
|
||||
|
||||
Bilan: Mesure au rapporteur d'un angle et la notion d'angle (avec les exemples)
|
||||
Aux groupes les plus avancés, on pourra leur demander de classer les angles qu'ils ont trouvés en ordre croissant.
|
||||
|
||||
Bilan: `Mesurer au rapporteur un angle <./B2_rapporteur.pdf>`_
|
||||
|
||||
Étape 3
|
||||
=======
|
||||
|
||||
Une série d'angles à classer par famille puis à mesurer et à classer en ordre croissant.
|
||||
`Une série d'angles <./E3_mesure_angle.pdf>`_ à classer par famille puis à mesurer et à classer en ordre croissant.
|
||||
|
||||
Bilan: correspondance obtus/aigus/droit et mesure d'angle (tableau)
|
||||
Bilan: `correspondance obtus/aigus/droit et mesure d'angle <./B3_mesures_angles.pdf>`_
|
||||
|
||||
Étape 4
|
||||
=======
|
||||
|
||||
Double choix!
|
||||
Travail de `reproduction de constellations <./E4_constellation.pdf>`_ .
|
||||
|
||||
- Ligne brisée à tracer avec des angles pour atteindre un objectif
|
||||
- Polygones réguliers à tracer.
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue