೧,೧೧೯
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ಬದಲಾವಣೆಗಳು
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ಚು೨೧ ನೇ ಸಾಲು:
೨೧ ನೇ ಸಾಲು: − <mm>[[typevar.mm|Flash]]</mm>+ + + ೩೦ ನೇ ಸಾಲು:
೩೨ ನೇ ಸಾಲು: + + + + + + − <mm>[[VarUnitplan.mm|Flash]]</mm> − + + ೫೬ ನೇ ಸಾಲು:
೬೪ ನೇ ಸಾಲು: + ೬೫ ನೇ ಸಾಲು:
೭೪ ನೇ ಸಾಲು: + + + + + + + + + + + + + + + + + ೮೭ ನೇ ಸಾಲು:
೧೧೩ ನೇ ಸಾಲು: + ೧೧೨ ನೇ ಸಾಲು:
೧೩೯ ನೇ ಸಾಲು: +
Text replacement - "|Flash]]</mm>" to "]]"
=ಪರಿಕಲ್ಪನಾ ನಕ್ಷೆ =
=ಪರಿಕಲ್ಪನಾ ನಕ್ಷೆ =
[[File:typevar.mm]]
=ಪಠ್ಯಪುಸ್ತಕ =
=ಪಠ್ಯಪುಸ್ತಕ =
2.1ಕರ್ನಾಟಕ ಸರಕಾರ ಗಣಿತ ಪಠ್ಯಪುಸ್ತಕ 9 ನೇ ತರಗತಿ<br>
2.2ಎನ್.ಸಿ.ಇ.ಆರ್.ಟಿ ಗಣಿತ ಪಠ್ಯಪುಸ್ತಕ 8 ನೇ ತರಗತಿ
ಪಠ್ಯಪುಸ್ತಕದ ಲಿಂಕ್ ಗಳನ್ನು ಇಲ್ಲಿ ಸೇರಿಸಲು, ದಯವಿಟ್ಟು ಸೂಚನೆಗಳನ್ನು ಅನುಸರಿಸಿ:
ಪಠ್ಯಪುಸ್ತಕದ ಲಿಂಕ್ ಗಳನ್ನು ಇಲ್ಲಿ ಸೇರಿಸಲು, ದಯವಿಟ್ಟು ಸೂಚನೆಗಳನ್ನು ಅನುಸರಿಸಿ:
=ಮತ್ತಷ್ಟು ಮಾಹಿತಿ =
=ಮತ್ತಷ್ಟು ಮಾಹಿತಿ =
==ಉಪಯುಕ್ತ ವೆಬ್ ಸೈಟ್ ಗಳು==
==ಉಪಯುಕ್ತ ವೆಬ್ ಸೈಟ್ ಗಳು==
[http://www.youtube.com/watch?v=bqU4SlwnxfY 1.ಇದರಲ್ಲಿ ನೇರ ಮಾರ್ಪಿನ ಬಗ್ಗೆ ಉದಾಹರಣೆ ಸಹಿತ ವಿವರಿಸಿದ್ದಾರೆ.]<br>
[http://www.youtube.com/watch?v=0xnWmI69NK0 2.ಇದರಲ್ಲಿ ಸಮಾನುಪಾತ ಮತ್ತು ನೇರ ಮಾರ್ಪಿಗೆ ಸಂಬಂಧವನ್ನು ಕೊಡಲಾಗಿದೆ.]<br>
[http://www.mathsisfun.com/algebra/directly-inversely-proportional.html 3.ನೇರ ಅನುಪಾತಕ್ಕೆ ಮತ್ತು ವಿಲೋಮ ಅನುಪಾತಕ್ಕೆ ಅನೇಕ ಉದಾಹರಣೆ ಗಳನ್ನು ನೀಡಿದ್ದಾರೆ.]
ಮಾರ್ಪಿನ ವಿಧಗಳು ಬಗ್ಗೆ ಮಾಹಿತಿಯನ್ನು; ನೀಡುತ್ತದೆ.<br>{{#widget:YouTube|id=jvHk48-Vw-M}}
==ಸಂಬಂಧ ಪುಸ್ತಕಗಳು ==
==ಸಂಬಂಧ ಪುಸ್ತಕಗಳು ==
=ಬೋಧನೆಯ ರೂಪರೇಶಗಳು =
=ಬೋಧನೆಯ ರೂಪರೇಶಗಳು =
==ಪರಿಕಲ್ಪನೆ #ನೇರ ಮಾರ್ಪು -2==
==ಪರಿಕಲ್ಪನೆ #ನೇರ ಮಾರ್ಪು -1==
===ಕಲಿಕೆಯ ಉದ್ದೇಶಗಳು===
===ಕಲಿಕೆಯ ಉದ್ದೇಶಗಳು===
ನೇರ ಅನುಪಾತ ಹೊಂದಿರುವ ಚರಾಕ್ಷರಗಳ ಸಂಬಂಧವನ್ನು ತಿಳಿಯು ವುದು .ಅನು ಪಾತೀಯ ಸ್ಥಿರಾಂಕ ವನ್ನು ಸಾಂಕೇತಿಕ ರೂಪದಲ್ಲಿ ವ್ಯಕ್ತಪಡಿಸುವುದು .
ನೇರ ಅನುಪಾತ ಹೊಂದಿರುವ ಚರಾಕ್ಷರಗಳ ಸಂಬಂಧವನ್ನು ತಿಳಿಯು ವುದು .ಅನು ಪಾತೀಯ ಸ್ಥಿರಾಂಕ ವನ್ನು ಸಾಂಕೇತಿಕ ರೂಪದಲ್ಲಿ ವ್ಯಕ್ತಪಡಿಸುವುದು .
*ಅಂತರ್ಜಾಲದ ಸಹವರ್ತನೆಗಳು
*ಅಂತರ್ಜಾಲದ ಸಹವರ್ತನೆಗಳು
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enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false" />
*ವಿಧಾನ/ಬೆಳವಣಿಗೆಯ ಪ್ರಶ್ನೆಗಳು
*ವಿಧಾನ/ಬೆಳವಣಿಗೆಯ ಪ್ರಶ್ನೆಗಳು
1.ಬೇರೆ ಬೇರೆ ತ್ರಿಜ್ಯವಿರು ವ ವೃತ್ತವನ್ನು ರಚಿಸಿ ಪರಿಧಿಯ ಅಳತೆಯನ್ನು ಸೂತ್ರದ ಸಹಾಯದಿಂದ ಕಂಡು ಹಿಡಿಯಲು ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆ ತಿಳಿಸುವುದು.<br>
1.ಬೇರೆ ಬೇರೆ ತ್ರಿಜ್ಯವಿರು ವ ವೃತ್ತವನ್ನು ರಚಿಸಿ ಪರಿಧಿಯ ಅಳತೆಯನ್ನು ಸೂತ್ರದ ಸಹಾಯದಿಂದ ಕಂಡು ಹಿಡಿಯಲು ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆ ತಿಳಿಸುವುದು.<br>
*ಪ್ರಶ್ನೆಗಳು
*ಪ್ರಶ್ನೆಗಳು
[http://www.regentsprep.org/regents/math/algebra/ao4/pracdirect.htm ನೇರ ಮಾರ್ಪಿಗೆ ಸಂಬಂಧಿಸಿದ ಪ್ರಶ್ನೇಗಳು]
[http://www.regentsprep.org/regents/math/algebra/ao4/pracdirect.htm ನೇರ ಮಾರ್ಪಿಗೆ ಸಂಬಂಧಿಸಿದ ಪ್ರಶ್ನೇಗಳು]
===ಚಟುವಟಿಕೆಗಳು #2===
*ಅಂದಾಜು ಸಮಯ
20 ನಿಮಿಷಗಳು
*ಬೇಕಾಗುವ ಪದಾರ್ಥಗಳು ಅಥವ ಸಂಪನ್ಮೂಲಗಳು
ನೇರ ಮಾರ್ಪುವಿನ ಜಿಯೋಜಿಬ್ರಾ ಕಡತ dirvar.ggb
*ಪೂರ್ವಾಪೇಕ್ಷಿತ/ ಸೂಚನೆಗಳು , ಇದ್ದರೆ
*ಬಹುಮಾಧ್ಯಮ ಸಂಪನ್ಮೂಲಗಳು
1.ಲ್ಯಾಪ್ ಟಾಪ್<br>2.ಎಲ್.ಸಿ.ಡಿ ಪ್ರೊಜೆಕ್ಟರ್
*ಅಂತರ್ಜಾಲದ ಸಹವರ್ತನೆಗಳು
*ವಿಧಾನ/ಬೆಳವಣಿಗೆಯ ಪ್ರಶ್ನೆಗಳು
ಒಂದು ಗ್ರಾಫ್ ಹಾಳೆಯ ಮೇಲೆ ಅಗಲದ ಅಳತೆಯನ್ನು ಸ್ಥಿರವಾಗಿಟ್ಟುಕೊಂಡು ಬೇರೆ ಬೇರೆ ಉದ್ದದ ಅಳತೆಯ ಆಯತಾಕಾರವನ್ನು ರಚಿಸಿ ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆ ನೀಡು ವುದು ವಿದ್ಯಾರ್ಥಿಗಳಿಗೆ ಆಯತಾಕಾರದ ಒಳಗೆ ಇರುವ ಸಣ್ಣ ಚೌಕಗಳನ್ನು ಏಣಿಸಲು ಹೇಳುವುದು ಚೌಕಗಳ ಸಂಖ್ಯೆಗೂ ಮತ್ತು ಉದ್ದಕ್ಕೂ ಇರುವ ಸಂಬಂಧವನ್ನು ನಿರೂ ಪಿಸಲು ಹೇಳುವುದು .
*ಮೌಲ್ಯ ನಿರ್ಣಯ
ಮೇಲಿನ ಚಟು ವ ಟಿಕೆಯ ಪ್ರತಿ ಸಂದರ್ಭದಲ್ಲಿ ಉದ್ದಕ್ಕೂ ಮತ್ತು ವಿಸ್ತೀರ್ಣಕ್ಕೂ ಇರು ವ ಅನು ಪಾತವನ್ನು ಕಂಡು ಹಿಡಿಯಲು ಹೇಳುವುದು ..
*ಪ್ರಶ್ನೆಗಳು
[http://www.regentsprep.org/regents/math/algebra/ao4/pracdirect.htm ನೇರ ಮಾರ್ಪಿಗೆ ಸಂಬಂಧಿಸಿದ ಪ್ರಶ್ನೆಗಳು ಮತ್ತು ಪರಿಹಾರಗಳು.]
==ಪರಿಕಲ್ಪನೆ #ವಿಲೋಮ ಮಾರ್ಪು ==
==ಪರಿಕಲ್ಪನೆ #ವಿಲೋಮ ಮಾರ್ಪು ==
*ಅಂತರ್ಜಾಲದ ಸಹವರ್ತನೆಗಳು
*ಅಂತರ್ಜಾಲದ ಸಹವರ್ತನೆಗಳು
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" 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*ವಿಧಾನ/ಬೆಳವಣಿಗೆಯ ಪ್ರಶ್ನೆಗಳು
*ವಿಧಾನ/ಬೆಳವಣಿಗೆಯ ಪ್ರಶ್ನೆಗಳು
=ಕಠಿಣ ಸಮಸ್ಯೆಗಳಿಗೆ ಸುಳಿವುಗಳು =
=ಕಠಿಣ ಸಮಸ್ಯೆಗಳಿಗೆ ಸುಳಿವುಗಳು =
[http://www.indiabix.com/aptitude/time-and-work/ ಕೆಲಸ ಮತ್ತು ಕಾಲ ಕ್ಕೆ ಸಂಬಂಧಿಸಿದ ಸಮಸ್ಯೆಗಳು]
=ಯೋಜನೆಗಳು =
=ಯೋಜನೆಗಳು =