https://peda.net/id/90ba078a3c2 2024-02-26T08:35:43+02:00 https://peda.net/:static/537/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/671e61a03d9 2023-09-05T12:04:40+03:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/formula-booklet/formula-booklet-sl-and-hl-may-2021.pdf#top" class="service">Formula booklet SL and HL May 2021.pdf</a>​ 2023-08-18T10:11:07+03:00 https://peda.net/id/a6a7debe3c2 2023-08-16T14:17:17+03:00 <b><br/> SL</b>: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/sequences-and-series/sequences-and-series-sl.pdf#top" class="service">Sequences and series - SL.pdf</a><br/> <br/> Markscheme: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/sequences-and-series/sequences-and-series-sl-markscheme.pdf#top" class="service">Sequences and series - SL -Markscheme.pdf</a><br/> <br/> <br/> <b>HL: </b><a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/sequences-and-series/sequences-and-series-hl.pdf#top" class="service">Sequences and series - HL.pdf</a> <b><br/> <br/> </b>Markscheme: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/sequences-and-series/sequences-and-series-hl-markscheme.pdf#top" class="service">Sequences and series - HL -Markscheme.pdf</a> 2023-08-16T14:04:20+03:00 https://peda.net/id/3ff62d983f8 2023-08-21T21:22:29+03:00 <a href="https://www.mathsisfun.com/algebra/binomial-theorem.html" rel="nofollow ugc noopener">https://www.mathsisfun.com/algebra/binomial-theorem.html</a><br/> <br/> <b>SL</b>: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/binomial-theorem/sl-binomial-theorem-2021-.pdf#top" class="service">SL Binomial_theorem__2021_.pdf</a><br/> <br/>  Markscheme: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/binomial-theorem/sl-binomial-theorem-markscheme.pdf#top" class="service">SL Binomial_theorem Markscheme.pdf</a><br/> <br/> <br/> <b>HL</b>: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/binomial-theorem/hlbinomialtheorem.pdf#top" class="service">HLBinomialTheorem.pdf</a><br/>  <br/> <br/> Markscheme: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/binomial-theorem/hlbinomialtheoremmarks.pdf#top" class="service">HLBinomialTheoremMarks.pdf</a> 2023-08-20T21:42:01+03:00 https://peda.net/id/08a886c4463 2023-08-29T09:05:23+03:00 HL: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/classification-of-functions/investigation11.png#top" class="service">investigation11.png</a> 2023-08-29T09:05:20+03:00 https://peda.net/id/81bb98164b4 2023-09-04T20:57:30+03:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/composite-and-inverse-function/composite-and-inverse-functions.pdf#top" class="service">Composite and inverse functions.pdf</a>​ 2023-09-04T20:57:26+03:00 https://peda.net/id/eccedd084e1 2023-09-08T10:11:26+03:00 <b>SL</b><br/> <ul> <li>Read p. 111-113</li> <li>Exercise 3A: 1b, 2c, 4</li> <li>Read p. 114-115</li> <li>Exercise 3B: 1b, 2, 3</li> <li>Read p. 115-118</li> <li>Exercise 3C: 2,3,4</li> </ul> <b>HL</b><br/> <ul> <li>Read p. 86-88 (rational functions)</li> <li>Exercise 2c: 1,4,5 (p.89)</li> <li>Investigation 6 (p.89)</li> <li>Read p.89 (Radical functions)</li> <li>Investigation 7 (p.90)</li> <li>Exercise 2D: 1b, d, f</li> <li>Investigation 8 (p. 90)</li> <li>Read p. 90-91</li> <li>Exercise 2E: 2,5,7</li> </ul> 2023-09-08T10:11:26+03:00 https://peda.net/id/39e9988a506 2023-09-11T09:55:05+03:00 <b>SL</b> <ul> <li>Read p. 119-121</li> <li>Exercise 3D: 1a, 1d, 2</li> <li>Read p. 122-123</li> <li>Exercise 3E: 1c, 2a, 3</li> <li>Read p. 124-125</li> <li>Exercise 3F: 1d, 2a, 3</li> <li>Exercise 3G: 1cdeg, 4</li> <li>Exercise 3H: 1,3</li> </ul> <br/> HL<br/> <ul> <li>Investigation 8 (p. 90)</li> <li>Read p. 90-91</li> <li>Exercise 2E: 2,5,7</li> <li>Read p. 93-94 (Absolute value functions and equations)</li> <li>Investigation 9 </li> <li>Exercise 2G: 2,3,8,9</li> <li>Read p. 95-97</li> <li>Exercise 2H: 1b, 1d, 1f, 1g</li> <li>Read p 98-99</li> <li>Exercise 2I: 1cde, 2a,b (algebrally), 2d (graphically)</li> </ul> <div> </div> 2023-09-11T09:48:33+03:00 https://peda.net/id/9bba1aae4b4 2025-09-15T11:01:44+03:00 <ul> <li>Arithmetic sequence</li> <li>Geometric sequence</li> <li>Arithmeric series</li> <li>Geometric series</li> <li>Binomial theorem</li> <li>Generalization of the binomial theorem (HL)</li> <li>Function (domain and range)</li> <li>Piecewise defined function</li> <li>Composite function</li> <li>Inverse function</li> <li>Self-inverse function</li> <li>Gradient and linear functions (SL)</li> <li>Rational functions (HL)</li> <li>Radical functions (HL)</li> <li>Absolute value functions and equations (HL)</li> <li>Partial fractions (HL)</li> </ul> <br/> <b>Review exercises</b><br/> <br/> <b>HL</b><br/> <ul> <li>p. 142-143: 1,2,3,11,12,15,5</li> <li>p. 68-69: 1, 2, 17, 18</li> </ul> <br/> <b>SL</b><br/> <ul> <li>p.101-104: 1,3,4,5,6,8,9,11,12,13,17,22,23</li> <li>p. 58-59: 2,4,5,8,14,15,22,27,30</li> </ul> <br/> <br/> <b>Videos:</b><br/> <br/> <a href="https://youtu.be/XO8RiMggsmY?si=VjKbSl9RE2MJnSgY" rel="nofollow ugc noopener">Arithmetic sequences and series</a><br/> <br/> <a href="https://youtu.be/LV2Aah2_Qg8?si=9g9zJvV-PFgKXSb8" rel="nofollow ugc noopener">Geometric sequences and series</a><br/> <br/> <a href="https://youtu.be/CxJATiDgpf0?si=OzkZgJ3G31ZHodQ2" rel="nofollow ugc noopener">The Binomial theorem</a><br/> <br/> <a href="https://youtu.be/cZNEkqrbtiE?si=zR22BYKMkEd3Hl6u" rel="nofollow ugc noopener">Domain, Range, Composite and Inverse</a><br/> <br/> <br/> <br/> <b>Test</b>: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/exam-thu-28.9.2023/revision-test-19.9.2023.pdf#top" class="service">Revision test 19.9.2023.pdf</a><br/> <br/> <b>Markscheme</b>: <br/> <br/> Worked solutions: 2023-09-04T20:15:12+03:00 https://peda.net/id/84e749c6821 2023-11-13T12:43:45+02:00 <a href="https://www.youtube.com/watch?v=kbP-ZC2Xc9w" rel="nofollow ugc noopener">https://www.youtube.com/watch?v=kbP-ZC2Xc9w</a> 2023-11-13T12:43:45+02:00 https://peda.net/id/a1fbb97a5e8 2023-11-09T08:37:25+02:00 <br/> Exam 21.11.2023<br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/the-2nd-period/exam2.jpg#top" title="Exam2.jpg"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/the-2nd-period/exam2.jpg:file/photo/2fe9220c51626b1b109b5f3604e1e8d4e9bccc2f/Exam2.jpg" alt="" title="Exam2.jpg" class="inline" loading="lazy"/></a><br/> Kinematics  265-268  284-287<br/> <br/>  <br/> <br/> <span>HL: Chapter review (p. 298-301): 1, 3, 4, 5, 6, 9, 11, 12, 14, 24, 25, 26, 29, 31, 32</span><br/> <br/> <span>SL: Chapter review (p. 271-273): 2b, 4, 6,7,9,10, 12,15,16,20</span> 2023-09-29T09:15:48+03:00 https://peda.net/id/e516b970998 2023-12-13T09:19:06+02:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/wednesday-13.12.2023/logarithms.docx#top" class="service">Logarithms.docx</a>​ 2023-12-13T09:19:03+02:00 https://peda.net/id/03a33860b05 2024-01-11T09:57:06+02:00 <a href="https://www.hollandcsd.org/cms/lib/NY19000531/Centricity/Domain/129/Basic%20Integration%20Problems.pdf" rel="nofollow ugc noopener">https://www.hollandcsd.org/cms/lib/NY19000531/Centricity/Domain/129/Basic%20Integration%20Problems.pdf</a> 2024-01-11T09:57:06+02:00 https://peda.net/id/0f5e94acb51 2024-01-29T09:15:53+02:00 <b>SL</b><br/> <br/> 9. Exponents and logarithms p. 394-426<br/> 10. Integration p. 434-461<br/> <br/> Chapter review (p. 426): 1,2,3,4,5,6,7,8,10,15,16,17,21,23,24,30<br/> Chapter review: (p. 461): 1,2,4,5,6,7,14,15,18<br/> <br/> HL<br/> <br/> Exponents and logarithms: p.460-487<br/> Integration: p. 442-459, 488-509, 521-527<br/> <br/> Chapter review (p.514): 1, 2, 4, 6, 9, 12, 14, 17, 19, 20<br/> Chapter review (p.565): 2a, 2c, 3, 10 2024-01-17T10:11:47+02:00 https://peda.net/id/ebe4ff28d0a 2024-02-21T13:54:22+02:00 <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-indentities/indentities.png#top" title="indentities.png"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-indentities/indentities.png:file/photo/b364b3a0165751d73b4837e3e3381b08ab140c98/indentities.png" alt="" title="indentities.png" class="inline" loading="lazy"/></a><br/> <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-indentities/answers.jpg#top" title="answers.jpg"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-indentities/answers.jpg:file/photo/3389f3d5185ced5e8b999c48d7d1566b432025d6/answers.jpg" alt="" title="answers.jpg" class="inline" loading="lazy"/></a> 2024-02-21T13:54:09+02:00 https://peda.net/id/6a602b2ed47 2024-02-26T08:37:22+02:00 <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-hl/investigation5.png2#top" title="investigation5.png"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-hl/investigation5.png2:file/photo/02a0462fe832aa68f214311fc3a2c14495766f5d/investigation5.png" alt="" title="investigation5.png" class="inline" loading="lazy"/></a><br/> <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-hl/investigation6.png#top" title="investigation6.png"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-hl/investigation6.png:file/photo/8f0d27abb9767c8c7eff183ea5be55e5407e03cb/investigation6.png" alt="" title="investigation6.png" class="inline" loading="lazy"/></a> 2024-02-26T08:36:47+02:00 https://peda.net/id/1003eeeed6c 2024-02-29T12:16:01+02:00 <a href="https://www.geogebra.org/m/jat2w7Mh" rel="nofollow ugc noopener">https://www.geogebra.org/m/jat2w7Mh</a><br/> <br/> <br/> Example<br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-29.2.2024/trigfunction.jpg#top" title="trigfunction.jpg"><img src="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/trigonometric-functions-29.2.2024/trigfunction.jpg:file/photo/321e79a8c006f7d89a37217accb2b5c6b4591634/trigfunction.jpg" alt="" title="trigfunction.jpg" class="inline" loading="lazy"/></a> 2024-02-29T08:52:11+02:00 https://peda.net/id/4c3934dedf7 2024-03-11T08:55:11+02:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/mon-11.3.2024/trigonometry-the-height-of-water.pdf#top" class="service">Trigonometry - the height of water.pdf</a>​ 2024-03-11T08:55:08+02:00 https://peda.net/id/4005604aea7 2024-03-28T10:11:22+02:00 <br/> <br/> <b>Radian, arc, sector, segment</b> <br/> <span>378-383 (HL)</span><br/> <span> 510-510 (SL)<br/> </span><br/> <span><b>Unit circle</b>  <br/> 386-390 (HL)<br/> 513-522 (SL)</span><br/> <br/> <br/> <b>Trigonometric equations and identities</b> <br/>  400-406 and 517-522 (HL)<br/>  420-421 (SL)<br/> <br/> <b>Reciprocal trigonometric functions(HL)</b> <br/> 399-402 (HL)<br/> <br/> <b>Trigonometric functions</b> <br/> 410-417 (HL)<br/>  523-533 (SL)<br/> <br/> <b>Derivatives of sin/cos/tan</b><br/>  424-426 and 544-549 (HL)<br/>  429-431 (SL)<br/> <br/> <b>Integrals of trigonometric functions </b> <br/> 446-450 (HL)<br/> 559-566 (SL)<br/> <br/> <b>Special integrals (HL)<br/> </b>p. 501-503 (HL)<br/> p. 509n(HL)<br/> <br/> <b>Inverse functions of sin/cos/tan (HL)</b><br/> 418.420(HL)<br/> 427-429(HL)<br/> <br/> <b>Review exercises</b><br/> <br/> <b>SL</b><br/> p. 539: 1,2,3,4,5,6,8,9,10,11,12,13,15,19,22,23,25,26,29<br/> p. 577: 1, 2a-d, 3,8,10,11,13<br/> <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/exam-2.4.2024/testsltrigonometricfunctionsandequations.pdf#top" class="service">TestSLtrigonometricfunctionsandequations.pdf</a><br/> <br/> <b>HL</b><br/> p. 437: 4, 5, 9, 10, 16, 17, 18, 19, 21a-d, 22<br/> p. 514: 11, 13, 15, 22, 25<br/> <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/exam-2.4.2024/testhltrigonometricfunctionsandequations.pdf#top" class="service">TestHLtrigonometricfunctionsandequations.pdf</a><br/> Solutions: <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/exam-2.4.2024/hlsolutions.pdf#top" class="service">HLsolutions.pdf</a><br/> <br/> <span><b>Derivatives of trigonometric function</b>s: </span><a class="" href="https://openstax.org/books/calculus-volume-1/pages/3-5-derivatives-of-trigonometric-functions" rel="nofollow ugc noopener">https://openstax.org/books/calculus-volume-1/pages/3-5-derivatives-of-trigonometric-functions</a><br/> <span>Examples: 3.39, 3.40, 3.41, 3.42, 3.43(HL), 3.44(HL), 3.45</span><br/> <span>Exercises: 197, 198, 199(HL), 202</span> 2024-03-25T09:06:49+02:00 https://peda.net/id/d6fc40d201f 2024-04-24T10:27:28+03:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/complex-numbers/complex-numbers-25.4.2024.pdf#top" class="service">Complex_numbers_25.4.2024.pdf</a><br/> <br/> <a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/complex-numbers/exs-1-5-20v2-hl-complex-nmbrs-forms.pdf#top" class="service">exs_1-5-20v2_hl_complex_nmbrs_forms.pdf</a>​ 2024-04-24T08:52:31+03:00 https://peda.net/id/9eed3b640b9 2024-05-06T13:51:43+03:00 ​<a href="https://peda.net/joensuu/lukiot/lyseon-lukio/oppiaineet2/pitk%C3%A4-matematiikka/et%C3%A4matikka-minna/dp2-mathematics-2023/hl-polynomials/hlpolynomials.pdf#top" class="service">HLpolynomials.pdf</a>​ 2024-05-06T13:51:41+03:00