https://peda.net/id/f40aac9032c 2025-08-06T22:21:40+03:00 https://peda.net/:static/548/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/d548100c32c 2025-08-06T22:22:18+03:00 <h1><a href="https://peda.net/siilinjarvi/siilinjarvenlukio/opiskelu/oppiaineet/pitk%C3%A4-matematiikka/lyhyt-matematiikka/mab3/opiskelupolut/opiskelupolut#top" rel="nofollow ugc noopener" target="_blank">Opiskelupolut</a><br/> <br/> <b>Boldilla on laitettu tehtäviä, jotka voidaan käydä yhdessä läpi tunnilla.</b><br/> Päivitetään koko ajan.<br/> <br/> </h1> <div class="main"> <div class="content enclose"> <p><strong>1.1 Mallin tulkintaa</strong><strong><span> </span>(1 h)<br/> <br/> Lue teorian sivut 10-14.</strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>101 102 103 104 <b>105</b> 106 107</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>101 102 103 104 105 106 107 108 109 110 111 <b>113</b> 114 115 117</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>101 102 103 104 105 106 107 108 109 110 111 113 114 115 117 118 119 <b>121</b> 122</span></p> </td> </tr> </tbody> </table> </div> <p><strong>1.2 Mallin sovittaminen mittaustuloksiin<span> </span></strong><strong>(2 h)<br/> <br/> Lue teorian sivut xx-xx.</strong></p> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>123 <b>124</b> 125 126 <span>127 <b>128</b> <b>129</b> 130 </span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>123 124 125 126 <span>127 128 129 130 131 132 <b>134</b> 135 137 142</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>123 124 125 126 <span>127 128 129 130 131 132 134 135 137 <b>142 144</b> 146 148</span></p> </td> </tr> </tbody> </table> </div> <div class="tablewrap"> </div> <div class="tablewrap"> <div class="tablewrap"><strong>2.1 Kulmakerroin</strong><strong> (1 h)<br/> <br/> </strong></div> </div> </div> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>201 202 203 204 <b>205</b> <b>206</b> 207 208</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>201 202 203 204 205 206 207 208 <b>209</b> 210 211 212 213 215 <b>217</b> 218</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>201 202 203 204 205 206 207 208 209 210 211 212 213 215 217 218 220 221 <b>223</b></p> </td> </tr> </tbody> </table> </div> </div> <p><strong><br/> 2.2 Suoran yhtälön muodostaminen (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>225 226 <b>227</b> 228 229 <b>230</b> 231 232</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>225 226 227 228 229 230 231 232 233 234 <b>235</b> 236 <b>238 239</b> 241 242</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>225 226 227 228 229 230 231 232 233 234 236 <b>238 239</b> 241 242 <b>244</b> 245 246 228</p> </td> </tr> </tbody> </table> <strong><br/> 2.3 Lineaarisen mallin sovittaminen (2 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>249 <b>250</b> 251 <b>252</b> 253 <b>254</b> 255 256 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>249 250 251 252 253 254 255 256 257 <b>258</b> 259 <b>260</b> 261 263 <b>265</b> 267</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>249 250 251 252 253 254 255 256 257 258 259 260 261 263 265 267 <b>268</b> 269 <b>271</b> *272</p> </td> </tr> </tbody> </table> </div> </div> <div class="tablewrap"> </div> </div> <div class="tablewrap"> <div class="tablewrap"><strong>3.1 Eksponentti- ja potenssiyhtälö</strong><strong> (2 h)<br/> </strong></div> </div> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>301 302 303 304</b> 305 306 <b>307</b> 308 <b>309</b></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 <b>312</b> 313 <b>314</b> 315 <b>317</b></span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><span>301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 320 321 323 324 <b>326 327</b></span></p> </td> </tr> </tbody> </table> </div> <strong><br/> 3.2 Potenssiyhtälö ja yleinen juuri (2 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>329</b> 330 331<b> 332</b> 333 <b>334</b> 335 <b>336</b> 337 <b>338</b> <b>339</b> </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>329 330 331 332 333 334 335 336 337 338 339 340 <b>341 342</b> 343 344 <b>346</b> 348 <b>350</b> 352</p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344<b> 346 348 350 </b>352 <b>354 355 </b>357</td> </tr> </tbody> </table> </div> <strong><br/> 4.1 Eksponenttifunktio (2 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401 <b>402</b> 403 <b>404</b> 405 <b>406</b> <b>407 </b>408 409</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>401 <b>402</b> 403 <b>404</b> 405 <b>406</b> <b>407 </b>408 409 410 <b>411</b> 412 413 415 416 418 <b>420 421 </b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>401 <b>402</b> 403 <b>404</b> 405 <b>406</b> <b>407 </b>408 409 410 <b>411</b> 412 413 415 416 418 <b>420 421 </b>424 <b>425</b> 426</td> </tr> </tbody> </table> </div> </div> <p><strong>4.2 Eksponentiaalisen mallin sovittaminen (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>429 <b>430</b> 431 432 <b>433</b> 434 <b>435</b></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>429 430 431 432 433 434 435 <b>436</b> 437<b> 438 440 </b>442 <b>444 </b>446 </p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>429 430 431 432 433 434 435 436 437 438 440442 444 446 <b>448 </b>449 450</td> </tr> </tbody> </table> </div> </div> <div class="tablewrap"> </div> </div> </div> 2023-08-04T16:00:05+03:00