Opiskelupolut LOPS2021
Opiskelupolut 2024
Muutokset tallennettu.
Opiskelupolut
Valikko1.1 Peruskäsitteitä (1 h)
|
TASO 1 (AS 5-6) |
101 102 103 104 105 106 107 108 109 |
|
TASO 2 (AS 7-8) |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 119 121 |
|
TASO 3 (AS 9-10) |
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 119 121 123 125 |
1.2 Kolmio (1 h)
|
TASO 1 (AS 5-6) |
127 128 129 130 131 132 133 134 |
|
TASO 2 (AS 7-8) |
127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 143 |
|
TASO 3 (AS 9-10) |
127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 143 146 148 |
1.3 Pythagoraan lause (3 h)
|
TASO 1 (AS 5-6) |
150 151 152 153 154 155 156 157 158 |
|
TASO 2 (AS 7-8) |
150 151 152 153 154 155 156 157 158 159 160 161 163 164 165 166 168 |
|
TASO 3 (AS 9-10) |
150 151 152 153 154 155 156 157 158 159 160 161 163 164 165 166 167 170 171 172 |
2.1 Yhdenmuotoisuus (1 h)
|
TASO 1 (AS 5-6) |
201 202 203 204 205 206 207 208 |
|
TASO 2 (AS 7-8) |
201 202 203 204 205 206 207 208 209 210 211 212 213 214 217 218 |
|
TASO 3 (AS 9-10) |
201 202 203 204 205 206 207 208 209 210 211 212 213 215 217 218 221 222 223 |
2.2 Trigonometriaa (1 h)
|
TASO 1 (AS 5-6) |
226 227 228 229 230 231 232 |
|
TASO 2 (AS 7-8) |
226 227 228 229 230 231 232 233 234 236 237 239 241 245 |
|
TASO 3 (AS 9-10) |
226 227 228 229 230 231 232 233 234 236 237 239 241 242 244 245 246 250 |
2.3 Nelikulmio (1 h)
|
TASO 1 (AS 5-6) |
251 252 253 254 255 256 257 |
|
TASO 2 (AS 7-8) |
251 252 253 254 255 256 257 258 259 260 261 263 265 266 268 |
|
TASO 3 (AS 9-10) |
251 252 253 254 255 256 257 258 259 260 261 263 265 266 268 269 272 |
2.4 Monikulmio ja pinta-alojen suhde (1 h)
|
TASO 1 (AS 5-6) |
274 275 276 277 278 279 280 281 282 |
|
TASO 2 (AS 7-8) |
274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 |
|
TASO 3 (AS 9-10) |
274 275 276 277 278 279 280 281 282 283 284 286 287 288 290 291 293 295 |
Tähän asti päivitetty 28.2.2024
3.1 Ympyrään liittyviä pituuksia ja kulmia (1 h)
|
TASO 1 (AS 5-6) |
301 302 303 304 305 306 307 308 |
|
TASO 2 (AS 7-8) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 |
|
TASO 3 (AS 9-10) |
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 318 319 321 323 |
3.2 Ympyrään liittyviä pinta-aloja (1 h)
|
TASO 1 (AS 5-6) |
325 326 327 328 329 330 331 |
|
TASO 2 (AS 7-8) |
325 326 327 328 329 330 331 332 333 334 336 337 339 342 |
|
TASO 3 (AS 9-10) |
325 326 327 328 329 330 331 332 333 334 335 336 337 339 342 344 346 |
3.3 Ympyrän tangentti (1 h)
|
TASO 1 (AS 5-6) |
349 350 351 352 353 354 355 |
|
TASO 2 (AS 7-8) |
349 350 351 352 353 354 355 356 357 359 361 362 363 365 366 367 |
|
TASO 3 (AS 9-10) |
349 350 351 352 353 354 355 356 357 359 361 362 363 365 366 368 369 372 |
4.1 Lieriö (1 h)
|
TASO 1 (AS 5-6) |
401 402 403 404 405 406 407 |
|
TASO 2 (AS 7-8) |
401 402 403 404 405 406 407 408 409 410 411 412 413 414 416 |
|
TASO 3 (AS 9-10) |
401 402 403 404 405 406 407 408 409 410 411 412 414 415 416 418 421 |
4.2 Kartio (1 h)
|
TASO 1 (AS 5-6) |
427 428 429 430 431 432 433 434 |
|
TASO 2 (AS 7-8) |
427 428 429 430 431 432 433 434 436 437 439 442 443 |
|
TASO 3 (AS 9-10) |
427 428 429 430 431 432 433 434 436 437 439 442 443 443 447 449 |
4.3 Pallo ja tilavuuksien suhde (2 h)
|
TASO 1 (AS 5-6) |
455 456 457 458 459 460 461 |
|
TASO 2 (AS 7-8) |
455 456 457 458 459 460 461 462 463 464 466 467 468 470 471 |
|
TASO 3 (AS 9-10) |
455 456 457 458 459 460 461 462 463 464 466 467 468 470 471 472 479 |