Opiskelupolut
MAB2 Opiskelupolut 2022
Huippu 2 Lausekkeet ja yhtälöt PÄIVITETTY
Opiskelijapolut
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|
TASO 1 (AS 5-6) |
101 102 103 104 105 106 107 108 |
|
TASO 2 (AS 7-8) |
101 102 103 104 105 106 107 108 109 110 111 113 115 118 |
|
TASO 3 (AS 9-10) |
101 102 103 104 105 106 107 108 109 110 111 113 116 117 118 119 120 121 124 |
1.2 Ensimmäisen asteen yhtälö (1 ot)
|
TASO 1 (AS 5-6) |
126 127 128 129 130 131 132 133 134 |
|
TASO 2 (AS 7-8) |
126 127 128 129 130 131 132 133 134 136 137 138 139 141 142 144 148 |
|
TASO 3 (AS 9-10) |
126 127 128 129 130 131 132 133 134 136 137 138 139 141 142 144 146 147 149 150 152 |
1.3 Ensimmäisen asteen polynomifunktion kuvaaja (2 ot)
|
TASO 1 (AS 5-6) |
155 156 157 158 159 160 161 162 163 164 |
|
TASO 2 (AS 7-8) |
155 156 157 158 159 160 161 162 163 164 165 166 167 169 170 172 175 |
|
TASO 3 (AS 9-10) |
155 156 157 158 159 160 161 162 163 164 165 166 167 169 170 172 175 179 182 |
2.1 Paraabeli (2 ot)
|
TASO 1 (AS 5-6) |
201 202 203 204 205 206 207 208 209 210 211 |
|
TASO 2 (AS 7-8) |
201 202 203 204 205 206 207 208 209 210 211 212 214 215 216 218 221 |
|
TASO 3 (AS 9-10) |
201 202 203 204 205 206 207 208 209 210 211 212 214 215 216 218 221 223 226 228 231 |
2.2 Toisen asteen yhtälön ratkaiseminen (2 ot)
|
TASO 1 (AS 5-6) |
233 234 235 236 237 238 239 240 241 242 243 244 245 |
|
TASO 2 (AS 7-8) |
233 234 235 236 237 238 239 240 241 242 243 244 245 246 248 249 250 251 252 256 257 258 260 |
|
TASO 3 (AS 9-10) |
233 234 235 236 237 238 239 240 241 242 243 244 245 246 248 249 250 251 252 256 257 258 260 |
3.1 Lukujono ja sen sääntö (1 ot)
|
TASO 1 (AS 5-6) |
301 302 303 304 305 306 307 308 |
|
TASO 2 (AS 7-8) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 |
|
TASO 3 (AS 9-10) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 317 318 319 320 322 |
3.2 Lukujonon yleinen jäsen (1 ot)
|
TASO 1 (AS 5-6) |
325 326 327 328 329 330 331 332 333 |
|
TASO 2 (AS 7-8) |
325 326 327 328 329 330 331 332 333 335 336 337 338 339 340 342 |
|
TASO 3 (AS 9-10) |
325 326 327 328 329 330 331 332 333 335 336 337 338 339 340 342 344 346 347 349 |
4.1 Aritmeettinen lukujono (1–2 ot)
|
TASO 1 (AS 5-6) |
401 402 403 404 405 406 407 408 409 410 |
|
TASO 2 (AS 7-8) |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 |
|
TASO 3 (AS 9-10) |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 423 424 |
4.2 Geometrinen lukujono (1–2 ot)
|
431 5-6) |
431 432 433 434 435 436 437 438 439 440 |
|
TASO 2 (AS 7-8) |
431 432 433 434 435 436 437 438 439 440 441 442443 444 447 448 449 450 452 |
|
TASO 3 (AS 9-10) |
431 432 433 434 435 436 437 438 439 440 441 442443 444 447 448 449 450 452 454 456 457 458 |
5.1 Aritmeettinen summa (1–2 ot)
|
TASO 1 (AS 5-6) |
501 502 503 504 505 506 507 508 509 |
|
TASO 2 (AS 7-8) |
501 502 503 504 505 506 507 508 509 510 512 513 514 515 516 517 518 |
|
TASO 3 (AS 9-10) |
501 502 503 504 505 506 507 508 509 510 512 513 514 515 516 517 518 521 522 523 524 525 528 |
5.2 Geometrinen summa (1–2 ot)
|
TASO 1 (AS 5-6) |
530 531 532 533 534 535 536 537 |
|
TASO 2 (AS 7-8) |
530 531 532 533 534 535 536 537 538 539 540 542 543 545 546 |
|
TASO 3 (AS 9-10) |
530 531 532 533 534 535 536 537 538 539 540 542 543 545 546 548 549 550 |
PÄIVITETTY 9.11.2022