https://peda.net/id/bf4fcaa67e0 2025-08-07T22:00:49+03:00 https://peda.net/:static/543/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/ebcfd5ca7e0 2025-08-22T12:46:07+03:00 <p>MAY1 Luvut ja yhtälöt<br/> Opiskelijapolut<br/> <br/> Suositeltavia tehtäviä, saa ja voi laskea tietenkin muitakin tehtäviä.<br/> <br/> <strong>TUMMENNETUT TEHTÄVÄT AINAKIN TUNNILLA KÄYDÄÄN SEURAAVALLA TUNNILLA LÄPI YHDESSÄ.</strong></p> <p><a name="_Toc371020641"></a><strong>1.1<span> Luvut ja laskujärjestys</span></strong><strong> (1h)<br/> <br/> Lue tämä teoria ja tee alla olevia tehtäviä kotona sen verran, minkä jaksat. Lue myös seuraava alaluku 1.2.</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>101 102 103 104 105 106 107 108</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>101 102 103 104 105 106 107 108 110 111 112 113 114 115 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>101 102 103 104 105 106 107 108 110 112 113 114 115 116 119 120 121 122 124 127 128</p> </td> </tr> </tbody> </table> <p><strong>1.2<span> Murtolukujen yhteen- ja vähennyslasku</span></strong><strong> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>129</b> 130 <b>131</b> 132 133 134 135 <b>136</b> 137</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>129 130 131 132 133 134 135 136 137 <b>138</b> <b>139</b> 140 141 142 143 144 146 147 148</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 <b>144</b> 146 147 148 150 152 153 </span></p> </td> </tr> </tbody> </table> <p><strong>1.3<span> Murtolukujen kerto- ja jakolasku</span></strong><strong> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>155</b> 156 157 158 <b>159</b> <b>160</b> 161 162</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>155 156 157 158 159 160 161 162 163 164 <b>165</b> 167 168 169 170 171 173 174</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>155 156 157 158 159 160 161 162 163 164 165 167 168 169 170 171 173 174 176 178</p> </td> </tr> </tbody> </table> <p><strong>2.1 Potenssin ja potenssin laskusäännöt </strong><strong>(1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><span>201 202 203 <b>204</b> 205 206 <b>207</b> 208 209 </span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>201 202 203 204 205 2</span>06 207 208 209 <b>210</b> 211 212 2113 214 <b>215</b> 216 218 220 221 222</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>201 202 203 204 205 2</span>06 207 208 209 210 211 212 213 214 215 216 218 220 221 222 <b>223</b> 225 228 </p> </td> </tr> </tbody> </table> <p><strong>2.2 Neliö- ja kuutiojuuri (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><span>231 <b>232</b> <b>233</b> 234 235 226 <b>236</b> 237 238</span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>231 232 233 234 235 226 <b>236 </b>237 238 <b>239</b> 240 <b>241</b> 242 244 <b>245</b> 246 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>231 232 233 234 235 226 237 238 239 240 241 <b>242</b> <b>243</b> 244 <b>245</b> 246 247 249 <b>251</b> 253 </span></p> </td> </tr> </tbody> </table> <p><strong>3.1 Lauseke ja ensimmäisen asteen yhtälö</strong><strong> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>301 302 <b>303 304</b> 305 <b>306</b> <b>307</b> 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 <b>309</b> <b>310</b> 311 312 313 <b>315</b> 316 <b>317</b> 318 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 <b>320</b> 321 322</span></p> </td> </tr> </tbody> </table> <p><strong>3.2 Yhtälöiden sovelluksia (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>324 325 326 327 328 329 330 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>324 325 326 327 328 329 330 331 332 333 334 336 338 339 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>324 325 326 327 328 329 330 331 332 333 334 336 338 339 342 344</td> </tr> </tbody> </table> <p><strong>3.3 Potenssiyhtälö (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>346 347 348 349 350 351 352 353</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 365 367 368 269 372</td> </tr> </tbody> </table> <p><strong>3.4 Yhtälöpari (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>346 347 348 349 350 351 352 353</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 365 367 368 269 372</td> </tr> </tbody> </table> <p><strong>4.1 Prosenttikerroin </strong><strong>(1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401<b> 402</b> 403 404 <b>405</b> 406 407 <b>408</b> 409 410</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>401 402 403 404 405 406 407 408 409 410 <b>411</b> 412 <b>414</b> 415 <b>416</b> 417 <b>418</b> 419 420 421 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 417 418 419 420 421 <b>424 425</b> 426 <b>428</b> 430</p> </td> </tr> </tbody> </table>  <br/> <strong>4.2 Prosentuaalisia muutoksia (2 h)<br/> <br/> </strong> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><span><b>431</b> 432 <b>433</b> <b>435</b> 436 437 <b>438</b> 439 440 442 443</span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>431 432 433 435 436 437 438 <b>439</b> <b>440</b> <b>442</b> 443 444 <b>445</b> 446 447 <b>448</b> 449 <b>451</b> 452 <b>453</b> 455 457 460</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td><span>431 432 433 435 436 437 438 439 440 442 443 444 445 446 447 449 451 452 455 <b>457</b> <b>460</b> 463 <b>464</b> 467 469</span></td> </tr> </tbody> </table> <p><strong><br/> 5.1 Suora verrannollisuus</strong><strong> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>501 502 503 504 505 506 507 508 509 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>501 502 503 504 505 506 507 508 509 510 511 512 513 514 516 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>501 502 503 504 505 507 508 510 511 512 513 515 516 517 520 522 </span></p> </td> </tr> </tbody> </table> <br/> <p><strong>5.2 Käänteinen verrannollisuus (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>524 525 526 527 528 529 530 531</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>524 525 526 527 528 529 530 531 532 533 534 536 538 539 540 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>524 525 526 527 528 529 530 531 532 533 534 536 538 539 540 543 544 546 547</td> </tr> </tbody> </table> <p><strong><br/> 6.1<span> Funktio ja potenssifunktio</span></strong><strong> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>601</b> <b>602</b> <b>603 604</b> <b>605 606</b> 607 608</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>601 602 603 604 605 606 607 608 <b>609</b> 610 611 <b>612</b> 613 <b>614</b> 615 <b>618</b> <b>619</b> 621</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 618 621 623 <b>625</b> </span></p> </td> </tr> </tbody> </table> <br/> <p><strong>6.2<span> Funktion kuvaajan tulkinta</span> (1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>628 629 630 631 632 633 634 635 636 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 644 646 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 644 646 648 650 651</td> </tr> </tbody> </table> 2017-08-11T00:07:30+03:00