https://peda.net/id/a0ae7c3634f 2023-08-07T11:30:12+03:00 https://peda.net/:static/546/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/a0aed35334f 2021-09-17T12:42:49+03:00 <p>MAY1 Luvut ja yhtälöt<br/> Opiskelijapolut <br/> Suositeltavia tehtäviä, saa ja voi laskea tietenkin muitakin tehtäviä.</p> <p><a name="_Toc371020641"></a><strong>1.1<span> Luvut ja laskujärjestys</span></strong><strong> (1h)</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><br/> 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>129 130 131 132 133 134 135 136 137</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 152 153 </span></p> </td> </tr> </tbody> </table> <br/> <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>155 156 157 158 159 160 161 162</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>155 156 157 158 159 160 161 162 163 164 165 167 168 169 170 171 173 174</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>201 202 203 204 205 206 207 208 209 </span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>201 202 203 204 205 2</span>06 207 208 209 210 211 212 2113 214 216 218 220 221 222</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 2113 214 216 218 220 221 222 225 228 </p> </td> </tr> </tbody> </table> <p> </p> <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>231 232 233 234 235 226 237 238</span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>231 232 233 234 235 226 237 238 239 240 241 242 244 246 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>231 232 233 234 235 226 237 238 239 240 241 242 243 244 246 247 249 251 253 </span></p> </td> </tr> </tbody> </table> <br/> <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>301 302 303 304 305 306 307 308</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 </span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 320 321 322</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> <br/> <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><br/> 4.1 Prosenttikerroin </strong><strong>(1 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401 402 403 404 405 406 407 408 409 410</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 417 418 419 420 421 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 417 418 419 420 421 424 426 428 430</p> </td> </tr> </tbody> </table>  <br/> <br/> <p><strong>4.2 Prosentuaalisia muutoksia (2 h)</strong></p> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><span>431 432 433 435 436 437 438 439 440 442 443</span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>431 432 433 435 436 437 438 439 440 442 443 444 445 446 447 449 451 452 455 457 460</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td><span>431 432 433 435 436 437 438 439 440 442 443 444 445 446 447 449 451 452 455 457 460 463 464 467 469</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>601 602 603 604 605 606 607 608</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><span>601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 618 621</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 618 621 623 625 </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> 2023-08-07T11:30:12+03:00