https://peda.net/id/21d0a7ca92f 2022-02-21T10:41:58+02:00 https://peda.net/:static/548/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license noopener" href="https://peda.net/info" target="_blank">Peda.net-yleislisenssi</a></div> https://peda.net/id/fd5ab84892f 2022-03-28T12:40:37+03:00 <br/> <div class="main"> <div class="messages"> <p class="message success"><a class="close message" href="https://peda.net/siilinjarvi/siilinjarvenlukio/opiskelu/oppiaineet/pitk%C3%A4-matematiikka/lyhyt-matematiikka/mab3/opiskelupolut?session-tdid=66fc265c-36c3-478e-ada4-43a1db9d8ab0#" aria-hidden="true" target="_blank" rel="noopener"></a>Muutokset tallennettu.</p> </div> <h1><a href="https://peda.net/siilinjarvi/siilinjarvenlukio/opiskelu/oppiaineet/pitk%C3%A4-matematiikka/lyhyt-matematiikka/mab3/opiskelupolut/opiskelupolut#top" rel="nofollow ugc noopener" target="_blank">Opiskelupolut</a></h1> <a class="menutoggle" href="https://peda.net/siilinjarvi/siilinjarvenlukio/opiskelu/oppiaineet/pitk%C3%A4-matematiikka/lyhyt-matematiikka/mab3/opiskelupolut?session-tdid=66fc265c-36c3-478e-ada4-43a1db9d8ab0#" aria-haspopup="menu" aria-expanded="false" target="_blank" rel="noopener"><span>Valikko</span></a> <div class="main"> <div class="content enclose"> <p><strong>1.1 Peruskäsitteitä</strong><strong><span> </span>(1 h)<br/> </strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>101 102 103 104 105 106</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>101 102 103 104 105 106 107 108 109 110 111 113 114 116</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>101 102 103 104 105 106 107 108 109 110 111 113 114 116 117 118 119 121 122 125</span></p> </td> </tr> </tbody> </table> <p><strong>1.2 Kolmio </strong><strong>(1 h)<br/> </strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>126 <span>127 128 129 130 131</span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>126 127 128 129 130 131 132 133 134 135 136 137 139 140 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>126 127 128 129 130 131 132 133 134 135 136 137 139 140 143 146  </span></p> </td> </tr> </tbody> </table> <div class="tablewrap"> </div> <p><strong>1.3 Pythagoraan lause (2 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><span>150 151 152 153 154 155 156 157 158 </span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>150 151 152 153 154 155 156 157 158 159 160 161 163 164 165 166 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>150 151 152 153 154 155 156 157 158 159 160 161 163 164 165 166 167 169 170 172 </span></p> </td> </tr> </tbody> </table> </div> </div> <p><strong>2.1 Yhdenmuotoisuus</strong><strong><span> </span>(1 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>201 202 203 204 205 206 207 208</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>201 202 203 204 205 206 207 208 209 210 211 212 213 215 217 218</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>201 202 203 204 205 206 207 208 209 210 211 212 213 215 217 218 221 223</p> </td> </tr> </tbody> </table> </div> <p><strong>2.2 Trigonometriaa (1-2 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>226 227 228 229 230 231 232</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>226 227 228 229 230 231 232 233 234 236 237 239 241 245</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>226 227 228 229 230 231 232 233 234 236 237 239 241 242 244 245 246 250 </p> </td> </tr> </tbody> </table> <br/> <p><strong>2.3 Nelikulmio (1 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>251 252 253 254 255 256 257</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>251 252 253 254 255 256 257 258 259 260 261 263 265 268</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>251 252 253 254 255 256 257 258 259 260 261 263 265 268 269 272</p> </td> </tr> </tbody> </table> </div> <div class="tablewrap"> </div> </div> <p><strong>2.4 Pinta-alojen ja tilavuuksien suhteita</strong><strong><span> </span>(1 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>274 275 276 277 278 279 280 281 282 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>274 275 276 277 278 279 280 281 282 283 284 286 287 288</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>274 275 276 277 278 279 280 281 282 283 284 286 287 288 290 291 293 295</p> </td> </tr> </tbody> </table> </div> <div class="tablewrap"> </div> <p><strong>3.1 Ympyrään liittyviä pituuksia ja kulmia</strong><strong> (1 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>301 302 303 304 305 306 307 308</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 314 315</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 318 319 321 323</span></p> </td> </tr> </tbody> </table> <br/> <strong>3.2 Ympyrään liittyviä pinta-aloja (1 h)</strong></div> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>325 326 327 328 329 330 331</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>325 326 327 328 329 330 331 332 333 334 336 337 339 342</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td><span>325 326 327 328 329 330 331 332 333 334 335 336 337 339 342 344 346</span></td> </tr> </tbody> </table> <br/> <strong>3.3 Ympyrän tangentti (1 h)</strong></div> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>349 350 351 352 353 354 355</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>349 350 3</span><span>51</span><span> 3</span><span>52</span><span> 3</span><span>53</span><span> 3</span><span>54</span><span> 3</span><span>55 356 357 359 361 362 363 365 366 367</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td><span>349 350 3</span><span>51</span><span> 3</span><span>52</span><span> 3</span><span>53</span><span> 3</span><span>54</span><span> 3</span><span>55 356 357 359 361 362 363 365 366 367 369 372</span></td> </tr> </tbody> </table> <strong><br/> 4.1 Lieriöt (2 h)</strong></div> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401 402 403 404 405 406 407</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>401 402 403 404 405 406 407 408 409 410 411 412 413 414 416</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td><span>401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 418 421 </span></td> </tr> </tbody> </table> </div> <p><strong>4.2 Kartio (1 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>427 428 429 430 431 432 433 434</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>427 428 429 430 431 432 433 434 436 437 439 442 443 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>427 428 429 430 431 432 433 434 436 437 439 442 443 443 447 449</td> </tr> </tbody> </table> </div> <p><strong>4.3 Palloja tilavuuksien suhde (2 h)</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>455 456 457 458 459 460 461</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>455 456 457 458 459 460 461 462 463 464 466 467 468 470 471 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>455 456 457 458 459 460 461 462 463 464 466 467 468 470 471 472 479</td> </tr> </tbody> </table> </div> <br/> <div class="tablewrap"> </div> </div> </div> </div> 2022-02-21T10:55:16+02:00