1,040
edits
Changes
From Karnataka Open Educational Resources
→Concept # Measurements in circles: 1. Radius and Diameter
==Concept # Measurements in circles: 1. Radius and Diameter ==
==Concept # Measurements in circles: 1. Radius and Diameter ==
===Learning objectives===
===Learning objectives===
# The students should learn to measure radius, diameter, circumference, chord length and angles subtended at the centre and on the circumference of the circle.
# Ability to measure radius, diameter, circumference, chord length and angles subtended at the centre and on the circumference of the circle.
# The students should understand that radius, diameter and chord lengths are linear measurements.
# Radius, diameter and chord lengths are linear measurements.
# They should learn to relate the size of the circle with radius.
# Relate the size of the circle with radius.
# They realise that to draw a circle knowing the measure of radius or diameter is essential.
# They realise that to draw a circle knowing the measure of radius or diameter is essential.
# There can be infinite radii in a circle.
# There can be infinite radii in a circle.
# Chords of different lengths can be drawn in a circle.
# Chords of different lengths can be drawn in a circle.
# Chord length can be measured using a scale and its units is cm.
# Chord length can be measured using a scale and its units is cm.
# They should know that the length of the chord increases as it moves closer to the diameter.
# The length of the chord increases as it moves closer to the diameter.
# The longest chord in the circle is its diameter.
# The longest chord in the circle is its diameter.
# Distance of chord from the centre is its perpendicular distance from the centre.
# Distance of chord from the centre is its perpendicular distance from the centre.
#students' geometry box
#students' geometry box
*Prerequisites/Instructions, if any:
*Prerequisites/Instructions, if any:
# Children should have the knowledge of circle, centre, radius, diameter and circumference.
# Circle and its basic parts should have been done.
*Multimedia resources: Laptop
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets
*Website interactives/ links/ / Geogebra Applets
#To measur diameter, measure the length of that chord which passes through the centre of the circle.
#To measur diameter, measure the length of that chord which passes through the centre of the circle.
Then she can project the digital tool 'geogebra.' and further clarify concepts.
Then she can project the digital tool 'geogebra.' and further clarify concepts.
*Developmental Questions:
*Developmental Questions:
# Name the centre of the circle.
# Name the centre of the circle.
Laptop, geogebra file, projector and a pointer.
Laptop, geogebra file, projector and a pointer.
*Prerequisites/Instructions, if any:
*Prerequisites/Instructions, if any:
*Multimedia resources:
*Multimedia resources:
Laptop, geogebra file, projector and a pointer.
Laptop, geogebra file, projector and a pointer.
<ggb_applet width="1278" height="571" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<ggb_applet width="1278" height="571" version="4.0" ggbBase64="UEsDBBQACAAIADGFc0MAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfdGh1bWJuYWlsLnBuZ+sM8HPn5ZLiYmBg4PX0cAkC0ieAOIWDDUgebqvnZmBgZfd0cQypuPV2znnv6EiR48yteZs1d7yKF5jpKl522bU1ccENx11yGjtOC4g3GXGIbkk4apRZ+NDJa4NkwcNDrdziQUu59FqyCiU4Ty3p4ZZcsuTKyRuBKyzSn1U/ZE2++ux49cnunzUPFtYuqfy49/fJnc/vFecfYXjgpHSHiYGF0UEAmWg8Vv1BUM626UBr0Jy/f3/8mCHdosDxSLZBoaDt4EFHJdamA65btmyJqK7ezcvLG1p65tw5JQ4GhRPiS4o0u/NcdDfJFR4Pz39gtV3AcVaH9P57G8zn3xOR+n/2ft6u+9abZN99OPc64+wWJY4mk/kKr/+vEe9UWLd/7zu+93+e19vf3rr9ugCL46xu8Z3irrE6/g3VN6vfWdxd25WaxNGkwMDBBEQNCo0LI18sXarqvfxyvM88Xn7+3Z9Xr159R4MlU66vr+/OmcL6+v3CiYWFF8vKys5NdX/+/NmznISEA3vj1i/dwuy4Tufy5cvrFq5fuzZUJDcsLGzN8uXHO5k4ilIrfn05YZqzf5f358+f3/3ddFPHXNxRanJzM3P1v5ozrr0bN250+CS+vlvM5Pbt29v27MnZvXu3TQTLx/aKPdfz7v46OM/Gk61q7sqVmtLy8vxfpJSVla/dvZs7n+/TUf7fV6ImHD7sLGfVNMUv/73/tw8P+9dZX7l+Pf1kyqWinTEK14PyhJaodLoc2rVrl878/xECizdvviwmJsY1yWVxoLWl5cODyh6Z91+l77arrq5et1o10mRLdHf2r6Py7+u23/lt//b9frtPBYJLrKZ0xH/LXXfH0Xm7UGpS0qFv37/X7t5WJCRUzsKpm/VHKlZLVHVv1hWpX1+TW1bfec3cdEXkbE1+Xl7YlQ3paWl3WhYs6nI7oOVqyf9ZhUPI6soKUc5VqdnZp11FTwZ15jgFtkgCzRFdGXLqeiXT1CUZfK69sRM9/+uJ9mYJugqohGi85ONyFXIVETXQOjTlUupn5VmMTT+u7ZWSleX9Y9WldCpQZfGi06l3NThZOYS4rkRonxXXcmXtj8v8U3n1gJTXshA5R6dGqcy9F2y6nsWKhKq0ioeq9BaJTzx/2UBwybkmFaF/+54/Pv70v7wrT+eid3Fqkzf29b2v/amz6uisOXO2pJ+c3y3/jXV2OHOTSOHvb8zxbaFTT9tUmUR9rV757PW5uWXZuX/PTd/vf2hlxMfpX04f2hmhEzbByT50OitHkd7FF+Zl399tD30fePvatW/7c77fzQidsatuvXh85K+nS2pPvL14SHDJxqIJbn9igImwRs9hgoH5kcuLIxoUSl2zDb1mPlynqhUVcpJTwePuxRWBummXTjsuVRPRUfLI4NgktjpmxVGnCRcWZt3bsOZZsKr+1T0cQlohHhLT8nPDRJU8NAIvJu0VTuaVCFjSobBw6bzVP/9EXeXgEJKYVb/C/ZCe5uOPO9bvXsLQxHLo2LG2/K8hT130trG5TmhzXOxxy9fwxbtp5hYBr1mjGxRCF7utzi97u0qCRSosTNJqIrOjlJjquSj5dbs09i/qXNQWJrhK+niOZVPMzD0uJ6tNF1UkrfA+KrYYmO5dA10uLrTsXl+630RrWWTV3nl7ywWXrAxg3aB0KHU1j+rxyt3TGJoYFDiABIzGJEgTxmmSie1/xuBL875IRQV/BZaMDJ6ufi7rnBKaAFBLBwjctSbHEwUAAEAFAABQSwMEFAAIAAgAMYVzQwAAAAAAAAAAAAAAABIAAABnZW9nZWJyYV9tYWNyby54bWzdWEtT2zAQPre/QqN7FD/iEBhMpzC8ZkrpFA69KrJw1NqSaymE8Ou7kmywCZS+aJP6YMur9e76+1a7snff3JQFuua1FkqmOCQBRlwylQmZp3hurgYT/Gbv9W7OVc6nNUVXqi6pSfHIaqIbLXakek9LrivK+AWb8ZK+U4waZ25mTLUzHC4WC9IaIKrOh3luyI3OMALnUqe4GeyAud5Di9ipR0EQDj+dvfPmB0JqQyXjGEFgJWW1QqzMbBApZlyaWgkwbZQqHpOd8KKyHgVT8kgU3I71TC1O5SXM7tM6xaaeg3GmquUBreyb6EbW+juV1dwgGqT4LUY0TPE+XKIUH+Bhq3I+N63OsZOCOw1GmLWHjDDeM52bmartKKPGSkCTF7yEkJFZViCplJAGo4JOeWH97b1+tWvjRWr6mTPTRtvMu5uh1YHpA1WoGoF1oCp356k706KaURgBhU61oEteo2ta2NlGAtbOVMZ7UipF6ZhF2nAAMQTkKs4zN/LRwqACcy57rmihm2CYUnWm0U2KY5KMMVqmOCHjEUa3PuecknvTC3HbOI27UrMsurHsDhuQnoFrf9PhGgRky8EVkzB6cbgONh2uqEErIpM/k1xMlSWVGZKuknxQxTJX0qEkvlcDAKD79V/BU6HXYV6HwiVO8dR7a3w8wo331qLv7TgAheQ+ajMT7IvkGipU1KIU+MGJyDJua7oPqMeqB6813IHyj/P6dOppntu7uyjYavL9vTD7SZSE293DF6zBiERjn1QJCZIkaqz9Ahf8q/SPaHtOsSirQjBh7lKnsDl+Kg30Ze46hvaxdiD4wnl1CabP5WVNpbZ92eu0i/THkafrgnxAoknQPaKkKX6jnjjwi3sQBmQU/j88TNeFhwHUTwd8QCZJbylsO+ATEoZb3Ylkgzjol/Qzkfke2K/p05Uqfvhcse420sPnmHzRTtrdbYWxIxJq10s0xCfQoyvoHf0Mekdrgp77GnK7ie3JC4D3kS4f4HbkdwlvV+DLvg9fDZZabLI1KiLjfvFo92aJb6PQULfHk07BDze2iqxSedhuCh9SyX+cSr4uVIbu48PugWIyif1SgK12HI83lrE7ww94yzxvfIW345+pYMf/8kOqw5v92t5KwvDBCpyQOBjH95tcx+gWiaOgu2B/q9QNu/877L37K2IH7Z+gvW9QSwcIc+ZVjnUDAAB8EgAAUEsDBBQACAAIADGFc0MAAAAAAAAAAAAAAAAWAAAAZ2VvZ2VicmFfamF2YXNjcmlwdC5qc0srzUsuyczPU0hPT/LP88zLLNHQVKiu5QIAUEsHCEXM3l0aAAAAGAAAAFBLAwQUAAgACAAxhXNDAAAAAAAAAAAAAAAADAAAAGdlb2dlYnJhLnhtbN1ZbW/bOBL+3P0VhD7cp9rmi0TJPacLJ8HiCnTbBdI7HO5wOFAS7XAjS1qRcpxgf/wOSUmW7SabNNdib4MmFMkhhzPPzDOUuvh+tynQVjZaVeVZQKY4QLLMqlyV67OgNatJEnz/9rvFWlZrmTYCrapmI8xZEFpJlcODXMWRSJNJgiWehBFNJ0KwdDJnfLXKY8r5SgYI7bR6U1YfxEbqWmTyKruWG/G+yoRxiq+Nqd/MZre3t9Ne1bRq1rP1Op3udB4gOGapz4Lu4Q1sd7DoljlxijGZ/fPH9377iSq1EWUG+q0JrXr73avFrSrz6hbdqtxcg8E0TgJ0LdX6GoyKKQvQzErV4JFaZkZtpYa1o64z2mzqwImJ0s6/8k+oGOwJUK62KpfNWYCnhOMQ8ySJ4iiZz5MwClDVKFmaTph0Smf9doutkrd+X/vk/RwgU1VFKuyW6NdfEcUUo9e2Ib6h0HDup7Afw8w31DehbyIvE/rloRcNvUzoZUJwxFZplRbyLFiJQoMPVblqAL+hr81dId15uoG9+eQ12KTVPQgzDIHinQ7jGL+2vxx+QzsxOzSSjLSapn1UqZ8f6ew1EszZ01XSF6hkvUqKo1ONNHrASP6Ib72Kx1w7mBmNHAuq3D/3e6KR0WdofNivT1fIw29i4mLWJ8qiyw2kr61sB6SRG22zhc1RNLdBT1AEmcFjiPEIkTk0MUWQC4hEKIygSxLEbRsjFsNEiBhKkJUjDLnUiBL4E8ZuM44i2MyOxpCRiICiEEUMEZdRIYI8Qi4rIUMpA4koQhEssuoJtVswjkIOPZagEM5oEzImIMhgIfRBPUWMIGYXkxhRjrjdj4Q20Xlijw5bUsQx4sRuCDkN+exzGeQTxKw13J0OfnqmUWXdmgNfZZu8fzRVPYAC0kBLe/bzNHVAjq8WhUhlAQXjykKK0FYUNjWcolVVGtSjSf3YuhH1tcr0lTQGVmn0s9iK98LI3Q8grXvdTjarSv1TU5mLqmg3pUYoqwo8nLkqyOiZDqeGDhtNhOOJaDTBR8/xZ/VWMINaLUF/1eheXOT5Oyuxpwjw5MeyuDtvpLipK/WQGR/EVq1dlJ8fxWpdiLvz1hgb//uRSwl/gF5ssa1hfS8xmFPqKyNryzmBg8oVuYVss0LlSpT/gPSw+i0AaKh5jh/7mhexsD9j1eRXdxqSBu3+JZsK9JJwOh//xAG681PseAoyXmfC5ns4P5yZw6IHp5xquR1iQezk3q3rxpLJqPNOn1fFfsh5+kLUpm3cfQXMaqxVy3JdSBeNjkzgMpDdpNXuyoch83t9uquhh/0J0rVDGAEd0Qi4fN21qW+djD3aIIWdDHYSuI9rlQ/zZE6dhGtT3zopSBR/tM5U0ptJcK9GaUeiOOgipCdIm2b2atGWyrzvO0ZlN3tT7YIP7SaV+2C1ApfKX4T8De9QDfmKahazo1Bc3MimlEWXEwB5W7XaM8YoXXKZqQ10/UTnOGFB/TucyY/mct3ITl4U7sbo3epm8TimT4bdVj801eZduf0EEXN0gMWsP+VCZ42qbWSiFOrTjdzHXq60gPKWj9fZfARvZDbBwSHGegvYojXXVePuhEBy0NoMLeQGLoDIuCAs241sVDb4vvwvcddLOFbbnZz2uFnXoyr9Gfh3qNV+les4GZh+IFCRKOpr4S6lXTiKO9kcOMft9mOVd4o7OV3Y2yzaKF+fN2Jnr3awX6qBmg1c6AGNcn+h9ycbGAdbBoMlPHIvDsBpnNuHldrJofCAl9Q9RIU4MGafMAaqxg3ckLW7tZkuf93D31Sey3I4rSghfhwK2tMjhGwtpY/2YaFlWMcbI+Q7YE4gclQzuHoZvBQKxy4DGPiJYOAnm0c+Z16XENoiQaeUOyAgsoC770fU4Gy1ZHlQyv3oUS6NHZZVm40oc1S6W95PzmH7y4aAsn2hmqyQ/16+RhDh/+kc1Jp++tzv2O3zOxCcfxEEhHpyd+0fAYbwK8NwJdd2/AiIJRhNOocfQFA+DoHudhuI6ndAOLwC5co7y16WOun86YT1THD2LsYd47hbFDh4AhSU4NEP+XKikb+Ufon2tVFt6kJlygyOLSz270oDlVK6unBa7W6krO1l5GP5qRGltl9YvEwfwg+j6xPqCNxzD255Am72OLiA0KgGZU+H9iug90VYqLUst3BSuKkjtMPd56w73IXAfT+yA+9MfFSQbuiejBIPkrpRO7Ts5Ze91BJeMUgyZXhODu7ES9apWIYuvGxKL+FFY+KS+rOBYl+g1EplzyfR7ATXi+fw5sWfgzfpNOGcMBITGpN5whOX4mwaxiGNMeWcUxIl0beqbKegXD4HlMs/Byh8SqOEEMoIjwkmZN7xLqE8icMwTKKIAmjxN6tzl54KL07QEc+rc+KldS79BnVuQqYsjNkcIEgwT+Yx8UkxYVMGhAVjmM3nmEbE+z+a8pCHkEAhIVGIefx/VAblrm7gYNbNfYrInQHDYOIs+MsvbWX+egHvE7l/dMsPIbbyweHiFxQ8ai9vLwPSfSrT8B642n9W8h8seND7tX8HNKIxjoZQz4UO6XDK4qMvL/tEe/jdJq2qQopysDQ9fvnc08//6u3zcd98XK20NI5ROg4h/aeiB5JA1C7l3FhmcX+exfkfyeLYW8zYky1uRK5afWzybPw5wn0c7P5n7e1vUEsHCLoaZCDWBwAA9hsAAFBLAQIUABQACAAIADGFc0PctSbHEwUAAEAFAAAWAAAAAAAAAAAAAAAAAAAAAABnZW9nZWJyYV90aHVtYm5haWwucG5nUEsBAhQAFAAIAAgAMYVzQ3PmVY51AwAAfBIAABIAAAAAAAAAAAAAAAAAVwUAAGdlb2dlYnJhX21hY3JvLnhtbFBLAQIUABQACAAIADGFc0NFzN5dGgAAABgAAAAWAAAAAAAAAAAAAAAAAAwJAABnZW9nZWJyYV9qYXZhc2NyaXB0LmpzUEsBAhQAFAAIAAgAMYVzQ7oaZCDWBwAA9hsAAAwAAAAAAAAAAAAAAAAAagkAAGdlb2dlYnJhLnhtbFBLBQYAAAAABAAEAAIBAAB6EQAAAAA=" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
*Process:
*Process:
# The teacher can review the concept of a circle , radius , diameter and circumference .
# Show the geogebra file and ask the following questions.
*Developmental Questions:
*Developmental Questions:
# The teacher can point to centre of circle and ask the students as to what it is.
# The teacher can point to centre of circle and ask the students as to what it is.
# How do you measure a chord and in what units ?
# How do you measure a chord and in what units ?
*Evaluation:
*Evaluation:
Were the students able to distinguish between radius, diameter and chord ?
# Were the students able to distinguish between radius, diameter and chord ?
*Question Corner:
*Question Corner:
After drawing a chord,what are the two segregated parts of the circle called ?
3 After drawing a chord,what are the two segregated parts of the circle called ?
==Concept # 2. Angles in circles==
==Concept # 2. Angles in circles==
