https://peda.net/id/ed029884c99 2024-02-12T12:46:06+02:00 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/9c311b14c99 2024-02-26T12:55:30+02:00 <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 Jonot ja joukot</strong><strong><span> </span>(1 h)<br/> </strong></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>101 102 103 104<span> </span><b>105</b><span> </span>106 107 108</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<span> 112 </span><b>113</b><span> </span>114 115 117 <b>122</b></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> <b>122 </b>123</span></p> </td> </tr> </tbody> </table> </div> </div> <p><strong><br/> <br/> 1.2 Tuloperiaate ja kertoma<span> </span></strong><strong>(1 h)<br/> </strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>125 126</b><span> </span><span>127 <b>128</b> 129 130 <b>131 132</b></span></p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>125 126<span> </span><span>127 128 129 130 131 132 133 134 <b>135</b> <b>136 137</b> 138 <b>139</b> 140 141 142 <b>143 </b>146</span></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p>125 126<span> </span><span>127 128 129 130 131 132 133 134 <b>135</b> <b>136 137</b> 138 <b>139</b> 140 141 142 <b>143 </b>146 <b>147</b> 148 <b>149</b></span></p> </td> </tr> </tbody> </table> </div> </div> <div class="tablewrap"> <div class="tablewrap"><strong><strong><br/> </strong></strong> <p><strong>1.3 Kombinaatio<span> </span></strong><strong>(1 h)<br/> </strong></p> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 161 162 163 <b>164 165 </b>168 <b>169 </b>170<b> 171</b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td> <p><b>152</b> <b>153</b> 154 <b>155</b> <b>156</b> 157 <b>158</b> 159 160 161 162 163 <b>164 165 </b>168 <b>169 </b>170<b> 171 173 </b>174 176 </p> </td> </tr> </tbody> </table> </div> </div> <strong><br/> 2.1 Klassinen ja tilastollinen todennäköisyys</strong><strong> (1 h)<br/> <br/> </strong></div> </div> </div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>201 202 203 204<span> </span><b>205</b><span> </span><b>206<span> </span>207</b> 208</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>201 202 203 204 205 206 207 208<span> </span><b>209</b><span> </span>210 <b>211</b> <b>212</b> 213 <b>214</b> 215<span> </span><b>217</b><span> </span>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 <b>219</b> 220<span> </span><b>224 226 227</b></p> </td> </tr> </tbody> </table> </div> </div> </div> <div class="tablewrap"> </div> <div class="tablewrap"> <div class="tablewrap"><strong>TÄHÄN ASTI PÄIVITETTY 19.2.24</strong></div> </div> <p><strong><br/> 2.2 Geometrinen todennäköisyys (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>225 226<span> </span><b>227</b><span> </span>228 229<span> </span><b>230</b><span> </span>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<span> </span><b>235</b><span> </span>236<span> </span><b>238 239</b><span> </span>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<span> </span><b>238 239</b><span> </span>241 242<span> </span><b>244</b><span> </span>245 246 228</p> </td> </tr> </tbody> </table> </div> <strong><br/> </strong></div> <div class="tablewrap"> </div> </div> <div class="tablewrap"> <div class="tablewrap"><strong>3.1 Komplementtisääntö</strong><strong><span> </span>(1 h)<br/> </strong></div> </div> <div class="tablewrap"> <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><span> </span>305 306<span> </span><b>307</b><span> </span>308<span> </span><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> </div> <strong><br/> 3.2 Kertolaskusääntö (1 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p> </p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344<span> </span><b>346</b><span> </span>348<span> </span><b>350</b><span> </span>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><span> </span>346 348 350<span> </span></b>352<span> </span><b>354 355<span> </span></b>357</td> </tr> </tbody> </table> </div> </div> <strong><br/> 4.1 Eksponenttifunktio (2 h)</strong></div> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409</p> </td> </tr> <tr> <td> <p>TASO 2 (AS 7-8)</p> </td> <td> <p>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409 410<span> </span><b>411</b><span> </span>412 413 415 416 418<span> </span><b>420 421 </b></p> </td> </tr> <tr> <td> <p>TASO 3 (AS 9-10)</p> </td> <td>401<span> </span><b>402</b><span> </span>403<span> </span><b>404</b><span> </span>405<span> </span><b>406</b><span> </span><b>407<span> </span></b>408 409 410<span> </span><b>411</b><span> </span>412 413 415 416 418<span> </span><b>420 421<span> </span></b>424<span> </span><b>425</b><span> </span>426</td> </tr> </tbody> </table> </div> </div> </div> <p><strong>4.2 Eksponentiaalisen mallin sovittaminen (2 h)</strong></p> <div class="tablewrap"> <div class="tablewrap"> <div class="tablewrap"> <table> <tbody> <tr> <td> <p>TASO 1 (AS 5-6)</p> </td> <td> <p>429<span> </span><b>430</b><span> </span>431 432<span> </span><b>433</b><span> </span>434<span> </span><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<span> </span><b>436</b><span> </span>437<b><span> </span>438 440 </b>442<span> </span><b>444<span> </span></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<span> </span><b>448<span> </span></b>449 450</td> </tr> </tbody> </table> </div> </div> </div> <div class="tablewrap"> </div> </div> </div> 2024-02-12T12:51:00+02:00