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| {{activity|stgw| on investigating perimeter|20 }} | | {{activity|stgw| on investigating perimeter|20 }} |
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| Working in your small groups of three to four participants, complete the following activity which uses GeoGebra. In this activity, we would like you to experiment with drawing figures with different numbers of squares (you can click and drag them into position) and observing how the perimeter changes. | | Working in your small groups of three to four participants, complete the following activity (the applet will open in another window when you click on it) which uses GeoGebra. In this activity, we would like you to experiment with drawing figures with different numbers of squares (you can click and drag them into position) and observing how the perimeter changes. |
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| Take some time to explore the applet and think about the type of enquiry that it lends itself to (demonstrated enquiry/structured enquiry/problem-solving enquiry/independent enquiry) and how you might use it with your students. Do you think the results table is a useful addition to the applet? Share your findings with the other participants and share whether such an activity can be used in the class as a taster of what EBL is about. | | Take some time to explore the applet and think about the type of enquiry that it lends itself to (demonstrated enquiry/structured enquiry/problem-solving enquiry/independent enquiry) and how you might use it with your students. Do you think the results table is a useful addition to the applet? Share your findings with the other participants and share whether such an activity can be used in the class as a taster of what EBL is about. |
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| <ggb_applet width="720" height="498" version="4.0" 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YFUn6i39e1JQMOAlieHMiAiEOX1Qla2N6HKoutLkkCMAxGWF9RNSzeruknp41VAy9oII1e2WG7WQKJ4njR/rvPl9rPQR+sQ1Aa6OiSBOPjF6SyapjPdNbwpP8kg+BDNytZQ3egqX6yD5kNU9XvXq2h5k8XFm3S91mcVwV+jD9E30Tq9/VIfXTT3ro6N80Xx/SpfX+SzzXxRBEGcz8bbMuezsPM32ZZab9DODtbdwTs7ROdvab1vrvcEmyLV989XRXN4lCRfl0e0YUEr+d1i9ul8lUbvl3kGq3H6quplTtNNPMuSLFr8WcNa3qXUJdh2OmUcbjodNhFNQfJV8uZToQkObv8jXeVaR0JfjqkIx4oIRbkKdYj7VO8iVL5UShKp+FgyxcvoV8RR2fj4+OW487/qpJ5dlNf3Tj9sP6LoNm1re73KtrCUf39dnOezZLu7qv9FtFxvVpVf0CFgVdbqbHE9SytGqpatO+P4/TS/fVPDQetrvf201FvjugDT60r3QMcGwnWBr83rtH6tjilLtj1qXB0zro4YN7RlyXZ/OCHVEdXrtH6tjtL41kUzNQ2bWobj5jZZUUW08ci0myZalfCXfftmka2/aTbWWfy+rWp5wreb+TTdIgSvGR7ummWptc0o1n8xvq38+987f7+9SddRaUA4oXyipOT6XzJRqiYVMXpaLDXSSXGTpmsrtVyKllrCDLX6pKuLdDZ7AwAft0dSEx86l6+beKOxOSdk4V0HhtsDObnrOOJ4HHU8jjkexx2PE47Hyd3j0lkZifNFENy8iVf5bFbJ96Hzd1yd/3p0otValZSdGE1n0ad8U4ZnjdKX2sFvZtF5px8u3/5Dp6mX21/V1z1v/UH57p+t757rmxXp6nttYGfgonWFvtL1S8EJf9LXr94MtoF2Nss/vtF9TRbNfp9k67wtXbXrre7s32bLbWBOf9jovX/SL9kqTUAI3gH59H260iUz0V6HuU2+KerOq9MRJPrec71Z7zCiR2Uk+zfdNut3k/R6lTZtelalKXUsqfaOu4F85+3qUl+u8vnXiw9vdZhEBTh91ZTytIhX2bKMxsFUO6T3bfXKZh1pgwXqW3ZPWpMajXW2LqOGFm2zvik11Ofo/la/lr3SLJ3rvCNYV5G3Ct7bCHT5LqxSmvLTCfLpXzVqOEi1oUfvtwbiKmRHs+VNFXbGW/b059xVorreH/ME66Plryqhu8BlHfmWaVq3/brI+o+lvlzV14AuXAteBLcl72Xw+6RLUr7+WAfDOk6Vta2CVNe01O+ij0qHxlqon5DsbHCSjV8+SLTwCUQ7fzcZmGj3kSxsJDuhj6LZYjNPV1m8lWRRaabP3DSXbW4HdDR53F0yNu6qcU6tjKGjjE1/PivHN4J5VifE80jLMtGXmxY65q9T3U+k6aId4KmL1vT14/JTK4VkkhslWdVkr7LbTrjTESz7UUfsCFSndXBrnVy8X6RFUfX7a2Moqz++ypIkrRJL1w993POha3tbnlfV/Z8+BIXueFZpgT+/OJ/Po0USLKp89+urUZt8RTqNWQT/+Pt/B/pe0TaPiQi4j+6fm4Pzd2F9eXPRHTymujNMo8X2o85NJOoA0sp1R0vr3r6nqY3v29D2FmfiKs5kX3EmWJzOlQegzl3h8uLIwuVT9MuX78gxaPakTmZoit3PyRzayDjFLeIat8i+cYsMOqjf3QT5wIC6F07jJ22DQ5Psnm1w/ByNkLs2Qr5vI+T+mofLd2JgSN0HKGV4Gj9JIxyaYvdrhI1mJ0/aCIVrIxT7NkLhcyOUA0PqQVH9KVrhxXFIFj5p4BpanvhA93CwgTWnyCVdI5fcN3JJfyPX+Ts1MKbuQ9TkcUdqcTMcmmQP9A9PIdrl4GLXwyLXobJFp8ilXCOX2jdyqWFHLid1mKs6bF912BGoQ13VofuqQ70duTo3Zfc7GLEnnNE9G5xi9+vz6BNqdmnix3A0e4hLeIrh0YujUGzypIoNzYs+yL4fTLLb5Sotysddtt2VmrybjgK9o7I9wT/+83+C/N2kej0vt//+X8GZ2b4w26VnrZZM/0RPWF160E7h7jB1DAipp0Eo6UHo0iBzYbbPzPa5O0LJwBGy6hH36HHR1h/oc+auRzxwPe50S0Mb23zoQN3TrBocmmoPWwZzMM12W56cvIu2LU+ClndWbtedl+ncZBOZnFpedelhtzyLHsqih0J6KKSHctND+ahH1+xIZHYkMjtyL7Mjh292rHzs6qGQHgrp4cyHh3p0nYxETkYiJyP3cjLSRyejP8RdPRTSQyE9nPnwUo+4R4+Ltv5AnzN3PTx2dueDWzvyoHz7ES2K6FoUgSyKQBZF7GVRhI8WRSiLHgrpoZAebk1K+GhRhLToIZEeEukh3fSQg9fjziG9YwoxB1sXY40w054I0xDTmlyxl8kVPppcoSx6KKSHQno4RxgP9ZAWPSTSQyI9nCOMh3p0h+tge2nq3w7Xib2G68Twh+us7SXpaS+XbQ8MeiRX0y98NP1CWfhQiA+F+HDWw0M+pIUPifiQiA/n+OEhH9LCh0R8SMSHsx5D5+POpHBoT/U8aOD6EZNC3k0KOUoKOUoK+V5JIfcxKeTKoodCeiikh1vI5T4mhVxa9JBID4n0cAsxfPhJoUUPYdFDID0E0kO46SEGr8edSfJRhdxHXLTAu1kyDLkNMm2WzPfKkrmPWTJXFj0U0kMhPZxDrod6SIseEukhkR7OIddDPYRFD4H0EEgP55DroR7dUQMYP5r6t6MGfK9RA+7jqAHvjhrA+HHZWjTQRbuOGnAfRw24svChEB8K8eGsh4d8SAsfEvEhER/O8dRDPqSFD4n4kIgPZz085ENY+BCID4H4cO5fPORDWPgQiA+B+HDWY+h83LmIdGgPQzzsMdOnWUI6NM0eMnf6iANxrDsQx9BAHEMDcWyvgTjm40AcUxY9FNJDIT3cXAzzcSCOSYseEukhkR5uvTbzcSCOCYseAukhkB5uvRQb/kCcRQ9u0YMjPTjSg7vpwX3UozvKBuNpU/92lI3tNcrGfBxlY8qih0J6KKSHczz1UA9p0UMiPSTSwzmeeqiHsOghkB4C6eEcTz3Ug1v04EgPjvRwjqce6tF9QAHG08vWj4L+xvUBBebjAwqsOwoL9bho6w/0cR2FZT6OwjJl4UMhPhTiw7l/8ZAPZeFDIT4U4sNZDw/5kBY+JOJDIj6c+1sP+ZAWPiTiQyI+nPXwkA9h4UMgPgTiw9l/eMiHsPAhEB8C8eGsh4d8cAsfHPHBER/OfsxDPriFD4744IgPZz3844N2x08pGj+laPyU7jV+Sn0cP6XKoodCeiikh5v/oD6On1Jp0UMiPSTSw62/pT6On1Jh0UMgPQTSw61/oT6On1Ju0YMjPTjSwy2e0uGPn965sHNoXzT4kK9mfMR1nbQ74gx7oIaYdsR52yO59kD+jRhRZdFDIT0U0sO5B/JQD2nRQyI9JNLDuQfyUA9h0UMgPQTSw7kH8lAPbtGDIz040sO5B/JQD2bRgyE9GNKDuenBBq/HHT3y5VH0yPRJeuSkp0e+bHNA4PFc5yyoj3MWtDtnAfW4aOsP9HGds6A+zllQZeFDIT4U4sPZoXjIh7LwoRAfCvHhrIeHfEgLHxLxIREfzo7NQz6khQ+J+JCID2c9PORDWPgQiA+B+HB2sB7yISx8CMSHQHw46+EhH9zCB0d8cMSHs6P3kA9u4YMjPjjiw1kPD/lgFj4Y4oMhPpwzHA/5YBY+GOKDIT6c9Rg6H3c+RREeQcZ36J8othAUdmcBQzQLGKJZwHCvWcDQx1nAUFn0UEgPhfRwc/Shj7OAobToIZEeEunh5mBDH2cBQ2HRQyA9BNLDzbGFPs4ChtyiB0d6cKSHm0MJhz8LaNGDWfRgSA+G9HDrkatLe6cHtehBkR4U6UHd9KD31eOnu/4nmCQ+JoPyiEPSYXeSGBqUBph2knhrWFwNytAnNawGZVcPhfRQSA9ng+KhHtKih0R6SKSHs0HxUA9h0UMgPQTSw9mgeKgHt+jBkR4c6eFsUDzUg1n0YEgPhvRwNige6kEtelCkB0V6OBuUe+rxVAbF2t3GPd1tU/12xnPb/bp2t0MfUbJ2t0lPd3u59atwfMB1xjP0ccYzVBY+FOJDIT6c9fCQD2nhQyI+JOLD2X54yIe08CERHxLx4ayHh3wICx8C8SEQH852zEM+hIUPgfgQiA9nPTzkg1v44IgPjvhwtqce8sEtfHDEB0d8OOvhIR/MwgdDfDDEh7Nd95APZuGDIT4Y4sNZDw/5oBY9KNKDIj2c05d76vGM6Qu1NBeKmgtFzcVZjns2lwEMN5+/I0cw3Ewefz5cdefD4Q/Cn5kfgG/nw9Ve8+HKx/lw0tWDID0I0oPspQfxUg9l0UMhPRTSwy3/JT6uD5Dd8SL4M8ztz+zCn2V2HS+SPo4XEWnhQyI+JOLDLf8lPq6XIMKih0B6CKSHW75HfFwvQbhFD4704EgPt/yG+LhegjLLU+RwBecleobNdb0E9XG9BGEWPhjigyE+3PQgXupBLXpQpAdFergZejL49SOW/IZY0j2C0j2C0j3ilt+Qoad7dy6nOab85hGX05Duchro55v20y6n2fp7Vz/v3/QvURY9FNJDIT2c/byHekiLHhLpIZEezv7VPz1E94lo+IvT7S/oNvnw9heoXX9x2r/xVyIsfAjEh0B8OPt5//jgXT444oMjPvhefHAv+eAWPjjigyM+nPMb//ggzKIHQ3owpIezn/dQD2rRgyI9KNLD2c/7uNxqd74CLq+6QI9juYaP0Mvw0dWDID0I0oPspQfxUQ+dlO3yQRAfBPHhnO8NfD7Likfcg8dFiwPAxXW0mXg52qwszUWh5qJQc3HOXvxrLkRZ+FCID4X4cNbDQz6khQ+J+JCID+dszkM+pIUPifiQiA9nPTzkQ1j4EIgPgfhwzuY85ENY+BCID4H4cNbDQz64hQ+O+OCID+dszkM+uIUPjvjgiA9nPTzkg1n4YIgPhvhwzm495INZ+GCID4b4cNbDQz6oRQ+K9KBID+dsf+DTVVY5dpsLRc2FoubiLId32ZzOQHe/GwAms5dmu/1uAOfk1se53d0nEWH1z9Bc76W7HMMeGovz+TxaJMEimuvyf5/PPl3ni6rE2WK5WQfRuPw18VDfKqy/3CmISP0lCkFEyy/4DU0hN+vm8KW+SNicUm1EzXnV1rQ5udqKqy1mtpL6eqevTLkss891CRuZmptVdc0WaT0ru77J4vcL/TG/HpFmEnhc//FVliTpopwT3v0EKs1/InpXc9XWz4DcG0lQwyK9LrdgDSPbt1b0FTfOF0lWz4jrw78zR//y//63ap2/qkCutijYYmCLgy0BtiTYUmBrorceidsvTq+y2zSp32nbR//Xdp1s5/GtaLC70Uh/WNSnFOW/r0fZfDnL4my9BX5Wrij4erFOV4VWWOtd7DTw92m6fKsv/d3i7SpaFFf5ag6LvycH04NxMAUcTAEHU8DBFHAwBRxMAQdTwMH02TioPvcShLEBYXxsHMQH4yAGHMSAgxhwEAMOYsBBDDiIAQfxs8eDkyYgkGPjIDkYBwngIAEcJICDBHCQAA4SwEECOEiejQMcDvzqFtwsGmksGmksGmksGumxaARYNAIsGgEWjQCLRu5j0cjjWjQ72/m27gNwcJaFknvXpm1PIHIT4OQIcHIEODkCnBwBTo4AJ0c+O7nHdXKH5iEBPEwBD1PAwxTwMAU8TAEPU8DDgBzd0fXk8cF5iAAPMeAhBjzEgIcY8BADHmLAw2dn95jO7tA8TAEPCeAhATwkgIcE8JAAHhLAw3Acnm/9xc6g5PfpKpun+gZmYJIF/xIsgpOA6NdfVq07+HVQfarmNTavSfVKzX5q9lOzn5r9zOxnZj8z+5nZz81+bvZzs5+b/cLsF2a/MPuF2S/Nfmn2S7Nfmv3K7FdmvzL7ldk/MfsnZv/E7J/U+4mpHzH1I6Z+xNSPmPoRUz9i6kdM/YipHzH1I6Z+xNSPmPoRUz9i6kdM/YipHzH1I6Z+xNSPmPoRUz9i6kdM/YipHzH1I6Z+xNSPmvJTU35qyk9N+akpPzXlp6b81JSfmvJTU35qyk9N+akpPzXlp6b81JSfmvJTU35qyk9N+akpPzXlp6b81JSfmfIxUz5mysdM+ZgpHzPlY6Z8zJSPmfIxUz5mysdM+ZgpHzPlY6Z8zJSPmfIxUz5mysdM+bi5Pzf35+b+3Nyfm/tzc39u7s/N/bm5Pzf35+b+3Nyfm/tzc39u7s/N/YW5vjDXF+b6wlxfmOsLc31hri/M9YW5vjDXF+b6wlxfmvOlOV+a86U5X5rzpTlfmvOlOV+Z/crsV2a/qmK8ZeJjsZnrgBWPdsMXmvwItx21SycR3i8Xpk0uTJtcmDa5MO3JhSnIhSnIhSnIhSnIhel9cmH6PLkw3RX+uXJhy89C7l2bnnFL6HUpyIUpyIUpyIUpyIUpyIXp51z4cXPhQ/OQ9HldCnJhCnJhCnJhCnJhCnJhOqhcmB0bD/HBeYC5cAR4iAEPMeAhBjzEgIcY8PA5F37MXPjQPMBceAp4SAAPCeAhATwkgIcE8HC4XPi7q6siXZeftJyYDzo8ZKpMvcLFzQGyxgGyxgGyxgGyHgfIgANkwAEy4AAZcIDsPg6QPY8DZLtMPpcDZA9v0axnrhqOb8IIz4ADZMABMuAAGXCA7LMDfFwHeGgeesc3YYRnwAEy4AAZcIAMOEA2KAc4OTYe4oPz0Ds/CjNEBhwgAw6QAQfIgANknx3g4zrAQ/PQOz8KM0QGHCADDpABB8iAA2SDmg1RXvHgZvF4Y/F4Y/F4Y/F4j8XjwOJxYPE4sHgcWDx+H4vHn8fi8V3onsvi8Yc3Wd6zABFOWsO0HYZwDiweBxaPA4vHP1u8x7V4h+ahd9Iapu0whHNg8TiweBxYPD4oixceHRDxwYHoXfUGx/1hDsiBx+PA43Hg8fhnj/e4Hu/QPPSueoPj/jAH5MDjceDxOPB4fFAeL/TrIQc3kycakycakycakyd6TJ4AJk8AkyeAyRPA5In7mDzxPCZP7FL3XCZPPLzNirbNiv61iHA2BmbmMIYLYPIEMHliSCbv6Lr06cFx6F2KCCdjYGIOQ7gAHk8AjycG5fGOcBjv0Dz0PsoAF3PAgX2YAwpg8QSweGJQFs+vHt3J4h2ah95HGeBiDjiwD3NAASyeABZPDMriHeMwnmwcnmwcnmwcnuxxeBI4PAkcngQOTwKHJ+/j8OTzODy5C91zOTz58CYr2yYLnyiR/Sts4GwLzMthCJfA4cnPDu9RHd6hceh9vAQusIGTLTAthxFcAocnB+XwjnEU79BA9D6fClfowtUacGAfZoASWDz52eI9rsU7NA+9z6fCFbpwtQYc2IcpoAQWTw7K4h3lKJ5qPJ5qPJ5qPJ7q8XgKeDwFPJ4CHk8Bj6fu4/HU83g8tUvdc3k89fA2q9o2C58ThiulVf8aGjjbAhNzGMPVkDyeX+tnnTzeoXHofWgYLpuGS2jgZAvMy2EIV4PyeEc4indoHnq/dAQ+dgWX4MLVGnBYH6aAalAW7+QIZ2oPDUTvt47A567gGly4XAMO7MMkUA3K4x3jMN6ksXiTxuJNGos36bF4E2DxJsDiTYDFmwCLN7mPxZs8j8Wb7EL3XBZv8vAmO2mb7GTnq2DaJgu22GRnCQ2cbYGJ+bBi+BFbvEPjgL8JposDXhcNV9DAyRaYlw8jgv8shvEODQT+KrkuEPjBqi4QeLEGHNgfVgp41B7v0EDg75LrAoGfrOoCgZdrwKH9YSSBvo/j7X4B1Tq9XYfmy6f++YdNvv7X7Xe6BK+D+p3qKpCl8rQRvIYzRU/1sV3luriFrs3V9kv3i+xHXfhQjBrFzfnRtMhnm3X6Jl6l6eKbPK5/abz6zXBRfeKcuGlJgJb1v8Gvg1bUXwfdXbYv2dnR9sHfEBd5KTzhfcrf+WMMzr9L8Xh8to/yk4mqKkHvfJQ/vknj99P8NqjkdG26Z7Ddfpu/DPKr4M0Pm0gf6NZyzyzN1unHbfqzm70A+okKkp7AFDrWztJwhvLTPWe0p27EsW6Wr8oYTN1YT92oY90sD4EOpm68p27MsW6Whx8GUzfRUzfuWDfLqr9nqtud31p3HuIuYpv4HzISho6lN8dFi2xe937FOl2WbwfFMi27g7DjIpf6ctoTguJEm9tslkWrT66ZABbkYkcQ9vMW5HJHEP7zFuT3O4KIn7cgX+4IIn/egvxhRxD18xbkqx1BJscuyCudfhZ6RzVUUW5fp/l1Ol1Fv/1/UEsHCDbpO5YcGwAAYEwBAFBLAQIUABQACAgIAAFNdkH3jfjlDAsAAGMLAAAWAAAAAAAAAAAAAAAAAAAAAABnZW9nZWJyYV90aHVtYm5haWwucG5nUEsBAhQAFAAICAgAAU12QUXM3l0aAAAAGAAAABYAAAAAAAAAAAAAAAAAUAsAAGdlb2dlYnJhX2phdmFzY3JpcHQuanNQSwECFAAUAAgICAABTXZBNuk7lhwbAABgTAEADAAAAAAAAAAAAAAAAACuCwAAZ2VvZ2VicmEueG1sUEsFBgAAAAADAAMAwgAAAAQnAAAAAA==" 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| | *[[variety of perimeters with fixed area]] |
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| You may like to refer to the following guidance notes for some ideas on how to make use of this '''investigating perimeter''' GeoGebra resource: | | You may like to refer to the following guidance notes for some ideas on how to make use of the [[variety of perimeters with fixed area]] GeoGebra resource: |
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