Opiskelupolut 2023
Opiskelupolut 2023
MAY1 Luvut ja yhtälöt
Opiskelijapolut
Suositeltavia tehtäviä, saa ja voi laskea tietenkin muitakin tehtäviä.
TUMMENNETUT TEHTÄVÄT AINAKIN TUNNILLA
1.1 Luvut ja laskujärjestys (1h)
|
TASO 1 (AS 5-6) |
101 102 103 104 105 106 107 108 |
|
TASO 2 (AS 7-8) |
101 102 103 104 105 106 107 108 110 111 112 113 114 115 |
|
TASO 3 (AS 9-10) |
101 102 103 104 105 106 107 108 110 112 113 114 115 116 119 120 121 122 124 127 128 |
1.2 Murtolukujen yhteen- ja vähennyslasku (1 h)
|
TASO 1 (AS 5-6) |
129 130 131 132 133 134 135 136 137 |
|
TASO 2 (AS 7-8) |
129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148 |
|
TASO 3 (AS 9-10) |
129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 146 147 148 150 152 153 |
1.3 Murtolukujen kerto- ja jakolasku (1 h)
|
TASO 1 (AS 5-6) |
155 156 157 158 159 160 161 162 |
|
TASO 2 (AS 7-8) |
155 156 157 158 159 160 161 162 163 164 165 167 168 169 170 171 173 174 |
|
TASO 3 (AS 9-10) |
155 156 157 158 159 160 161 162 163 164 165 167 168 169 170 171 173 174 176 178 |
2.1 Potenssin ja potenssin laskusäännöt (1 h)
|
TASO 1 (AS 5-6) |
201 202 203 204 205 206 207 208 209 |
|
TASO 2 (AS 7-8) |
201 202 203 204 205 206 207 208 209 210 211 212 2113 214 215 216 218 220 221 222 |
|
TASO 3 (AS 9-10) |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 218 220 221 222 223 225 228 |
2.2 Neliö ja kuutiojuuri (1 h)
|
TASO 1 (AS 5-6) |
231 232 233 234 235 226 236 237 238 |
|
TASO 2 (AS 7-8) |
231 232 233 234 235 226 236 237 238 239 240 241 242 244 245 246 |
|
TASO 3 (AS 9-10) |
231 232 233 234 235 226 237 238 239 240 241 242 243 244 245 246 247 249 251 253 |
3.1 Lauseke ja ensimmäisen asteen yhtälö (1 h)
|
TASO 1 (AS 5-6) |
301 302 303 304 305 306 307 308 |
|
TASO 2 (AS 7-8) |
301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 |
|
TASO 3 (AS 9-10) |
301 302 303 304 305 306 307 308 309 310 311 312 313 315 316 317 318 320 321 322 |
3.2 Yhtälöiden sovelluksia (1 h)
|
TASO 1 (AS 5-6) |
324 325 326 327 328 329 330 |
|
TASO 2 (AS 7-8) |
324 325 326 327 328 329 330 331 332 333 334 336 338 339 |
|
TASO 3 (AS 9-10) |
324 325 326 327 328 329 330 331 332 333 334 336 338 339 342 344 |
3.3 Potenssiyhtälö (1 h)
|
TASO 1 (AS 5-6) |
346 347 348 349 350 351 352 353 |
|
TASO 2 (AS 7-8) |
346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 |
|
TASO 3 (AS 9-10) |
346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 365 367 368 269 372 |
3.4 Yhtälöpari (1 h)
|
TASO 1 (AS 5-6) |
346 347 348 349 350 351 352 353 |
|
TASO 2 (AS 7-8) |
346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 |
|
TASO 3 (AS 9-10) |
346 347 348 349 350 351 352 353 354 355 356 357 358 359 361 363 365 367 368 269 372 |
4.1 Prosenttikerroin (1 h)
|
TASO 1 (AS 5-6) |
401 402 403 404 405 406 407 408 409 410 |
|
TASO 2 (AS 7-8) |
401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 417 418 419 420 421 |
|
TASO 3 (AS 9-10) |
401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 417 418 419 420 421 424 425 426 428 430 |
4.2 Prosentuaalisia muutoksia (2 h)
|
TASO 1 (AS 5-6) |
431 432 433 435 436 437 438 439 440 442 443 |
|
TASO 2 (AS 7-8) |
431 432 433 435 436 437 438 439 440 442 443 444 445 446 447 448 449 451 452 453 455 457 460 |
|
TASO 3 (AS 9-10) |
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 |
5.1 Suora verrannollisuus (1 h)
|
TASO 1 (AS 5-6) |
501 502 503 504 505 506 507 508 509 |
|
TASO 2 (AS 7-8) |
501 502 503 504 505 506 507 508 509 510 511 512 513 514 516 |
|
TASO 3 (AS 9-10) |
501 502 503 504 505 507 508 510 511 512 513 515 516 517 520 522 |
5.2 Käänteinen verrannollisuus (1 h)
|
TASO 1 (AS 5-6) |
524 525 526 527 528 529 530 531 |
|
TASO 2 (AS 7-8) |
524 525 526 527 528 529 530 531 532 533 534 536 538 539 540 |
|
TASO 3 (AS 9-10) |
524 525 526 527 528 529 530 531 532 533 534 536 538 539 540 543 544 546 547 |
6.1 Funktio ja potenssifunktio (1 h)
|
TASO 1 (AS 5-6) |
601 602 603 604 605 606 607 608 |
|
TASO 2 (AS 7-8) |
601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 618 621 |
|
TASO 3 (AS 9-10) |
601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 618 621 623 625 |
6.2 Funktion kuvaajan tulkinta (1 h)
|
TASO 1 (AS 5-6) |
628 629 630 631 632 633 634 635 636 |
|
TASO 2 (AS 7-8) |
628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 644 646 |
|
TASO 3 (AS 9-10) |
628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 644 646 648 650 651 |