Opiskelupolut

MAB2 Opiskelupolut

Huippu 2 Lausekkeet ja yhtälöt
Opiskelijapolut
Suositeltavia tehtäviä, saa ja voi laskea tietenkin muitakin tehtäviä.

1.1 Lineaarinen riippuvuus (1 h)

TASO 1 (AS 5-6)

101 102 103 104 105 106

TASO 2 (AS 7-8)

101 102 103 104 105 106 107 108 109 110 111 113

TASO 3 (AS 9-10)

101 102 103 104 105 106 107 108 109 110 111 113 116 117 118 119 121


1.2 Suoran yhtälö
(2 h)

TASO 1 (AS 5-6)

122 123 124 125 126

TASO 2 (AS 7-8)

122 123 124 125 126 127 128 129 130 131 132 133 135 137 138

TASO 3 (AS 9-10)

122 123 124 125 126 127 128 129 130 131 132 133 135 136 137 138 140 141 142

2.1 Polynomilaskennan kertausta (1 h)

TASO 1 (AS 5-6)

201 202 203 204 205 206 207 209

TASO 2 (AS 7-8)

201 202 203 204 205 206 207 208 209 210 211 212 213 214 215

TASO 3 (AS 9-10)

201 202 203 204 205 206 207 208 210 211 212 213 214 215 216 219 221 222

2.2 Yhtälön ratkaiseminen (2 h)

TASO 1 (AS 5-6)

225 226 227 228 229 230 231 232

TASO 2 (AS 7-8)

225 226 227 228 229 230 231 232 233 234 235 236 237 239 241 242 243 246

TASO 3 (AS 9-10)

225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 243 245 247 248 250 251 254 257

2.3 Yhtälöpari (2 h)

TASO 1 (AS 5-6)

258 259 260 261 262 263 264 265

TASO 2 (AS 7-8)

258 259 260 261 262 263 264 265 266 267 269 270 271 272 273 274 275 276 278

TASO 3 (AS 9-10)

258 259 260 261 262 263 264 265 266 267 269 270 271 272 273 274 275 276 278 279 280 282 283 284 286 286

3.1 Paraabeli (1 h)

TASO 1 (AS 5-6)

301 302 303 304 305 306

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 Paraabeli tutkimista (1 h)

TASO 1 (AS 5-6)

323 324 325 326 327

TASO 2 (AS 7-8)

323 324 325 326 327 328 329 330 331 332 333 334 335 336

TASO 3 (AS 9-10)

323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 341


4.1 Neliöjuuri ja neliöyhtälö (2 h)

TASO 1 (AS 5-6)

401 402 403 404 405 406

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)

401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 423

TÄSTÄ ETEENPÄIN MUUTTAMATTA!!!

4.2 Toisen asteen yhtälön ratkaisukaava (2 h)

TASO 1 (AS 5-6)

424 425 426 427 428 429 430

TASO 2 (AS 7-8)

424 425 426 427 428 429 430 431 432 433 434 436 437 439 441 443 444 445

TASO 3 (AS 9-10)

424 425 426 427 428 429 430 431 432 433 434 436 437 439 441 443 444 445 448 449 450 452 453

4.3 Korkeamman asteen epäyhtälö (1 h)

TASO 1 (AS 5-6)

454 455 456 457 458

TASO 2 (AS 7-8)

454 455 456 457 458 459 460 461 463 464 465 467 468

TASO 3 (AS 9-10)

454 455 456 457 458 459 460 461 463 464 465 467 468 469 470 472 473