{"id":84,"date":"2026-07-16T16:09:54","date_gmt":"2026-07-16T16:09:54","guid":{"rendered":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/?page_id=84"},"modified":"2026-07-16T16:09:54","modified_gmt":"2026-07-16T16:09:54","slug":"dokladny-opis-kursu","status":"publish","type":"page","link":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/dokladny-opis-kursu\/","title":{"rendered":"Dok\u0142adny opis kursu"},"content":{"rendered":"\n<div class=\"wp-block-group alignfull is-style-default has-base-background-color has-background has-global-padding is-layout-constrained wp-container-core-group-is-layout-477fa124 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide kolumny1 is-layout-flex wp-container-core-columns-is-layout-7efa4250 wp-block-columns-is-layout-flex\" style=\"padding-top:var(--wp--preset--spacing--70)\">\n<div class=\"wp-block-column is-vertically-aligned-top kolumna12 is-layout-flow wp-block-column-is-layout-flow\" style=\"padding-top:0;padding-bottom:0;flex-basis:50%\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-1024x576.png\" alt=\"\" class=\"wp-image-1051\" srcset=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-1024x576.png 1024w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-300x169.png 300w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-768x432.png 768w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-1536x864.png 1536w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-2048x1152.png 2048w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/artificial-neural-network-3501528-600x338.png 600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top kolumna11 is-layout-flow wp-container-core-column-is-layout-82792216 wp-block-column-is-layout-flow\" style=\"padding-top:0;padding-bottom:0;flex-basis:50%\">\n<h2 class=\"wp-block-heading has-contrast-color has-text-color has-link-color has-x-large-font-size wp-elements-b9cc829cf656f6b5992a499c91e92512\">Jak dzia\u0142a kurs i dlaczego jest skuteczny?<\/h2>\n\n\n\n<p class=\"has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-5e74d532525ea39c43174c73acf18171 wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Opieka nad kursantami \u0142\u0105czy dwa filary: materia\u0142y do samodzielnej nauki (np. wideo, zdj\u0119cia rozwi\u0105za\u0144) oraz grupowe zaj\u0119cia online. Dzi\u0119ki temu ka\u017cdy mo\u017ce najpierw w swoim tempie pozna\u0107 nieco temat, a potem na zaj\u0119ciach rozwia\u0107 w\u0105tpliwo\u015bci, zada\u0107 pytania i pozna\u0107 dodatkowe metody.<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator alignfull has-text-color has-alpha-channel-opacity has-background is-style-wide is-style-wide--1\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignwide is-style-default has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide are-vertically-aligned-top kolumny2 is-layout-flex wp-container-core-columns-is-layout-44408fb2 wp-block-columns-is-layout-flex\" style=\"margin-top:0;margin-bottom:0\">\n<div class=\"wp-block-column is-vertically-aligned-top kolumna21 is-layout-flow wp-container-core-column-is-layout-2dfd3dab wp-block-column-is-layout-flow\" style=\"padding-right:0;padding-left:0;flex-basis:50%\">\n<h2 class=\"wp-block-heading has-contrast-color has-text-color has-link-color has-x-large-font-size wp-elements-d326dcc46ad98b436695337860a8c18c\">Organizacja kursu <\/h2>\n\n\n\n<p class=\"has-text-align-left is-style-default has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-0b8f800218785a518a3359777e66ad04 wp-block-paragraph\" style=\"margin-top:var(--wp--preset--spacing--30);margin-bottom:0;font-style:normal;font-weight:300;line-height:1.6\">Po zakupie kursu ucze\u0144 otrzymuje dost\u0119p do serwera Discord \u2013 naszego matematycznego centrum dowodzenia. Tam znajdzie materia\u0142y do nauki, zaj\u0119cia online z tablic\u0105 interaktywn\u0105, forum dyskusyjne oraz miejsce do lu\u017anych rozm\u00f3w i integracji.<br>Zaj\u0119cia odbywaj\u0105 si\u0119 w czterech grupach:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Poniedzia\u0142ki 18:00<\/li>\n\n\n\n<li>Wtorki 18:00<\/li>\n\n\n\n<li>Czwartki 18:00<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-left is-style-default has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-7df40a3509c6f432689e8d2faefd33e2 wp-block-paragraph\" style=\"margin-top:0;margin-bottom:0;font-style:normal;font-weight:300;line-height:1.6\">Przy zapisie prosz\u0119 o wskazanie grupy (dla r\u00f3wnomiernego podzia\u0142u), jednak bez problemu mo\u017cna j\u0105 p\u00f3\u017aniej dowolnie zmienia\u0107 lub do\u0142\u0105cza\u0107 do zaj\u0119\u0107 w innym terminie. Kurs startuje w pierwszym pe\u0142nym tygodniu listopada, czyli <strong>3.11.2025 r.<\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top kolumna22 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"950\" height=\"1024\" src=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-950x1024.png\" alt=\"\" class=\"wp-image-1062\" srcset=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-950x1024.png 950w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-278x300.png 278w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-768x828.png 768w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-1425x1536.png 1425w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920-600x647.png 600w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/09\/checklist-1295319_1920.png 1781w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><\/figure>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator alignfull has-text-color has-alpha-channel-opacity has-background is-style-wide is-style-wide--2\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignfull is-style-default has-contrast-color has-base-background-color has-text-color has-background has-link-color wp-elements-a36526fc83344b20256c0e8e233c61f6 has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide kolumny3 is-layout-flex wp-container-core-columns-is-layout-633b684a wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column kolumna32 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:80%\">\n<ul style=\"border-color:#dddddd;border-width:1px;margin-top:0;margin-right:var(--wp--preset--spacing--20);margin-bottom:0;margin-left:var(--wp--preset--spacing--20);line-height:1.5\" class=\"wp-block-list is-style-default has-border-color\">\n<li style=\"margin-top:var(--wp--preset--spacing--30);margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 1 (Tydzie\u0144 1)<\/strong> &#8211; Lekcja zapoznawcza; Metody skutecznego nauczania; Dlaczego matura z matematyki rozszerzonej jest wa\u017cna? ; Jak dzia\u0142a rekrutacja na studiach?; Jak dzia\u0142a kurs.<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 2 (Tydzie\u0144 2)<\/strong> &#8211; Podstawy algebraiczne<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 3 (Tydzie\u0144 3)<\/strong> &#8211; Warto\u015b\u0107 bezwzgl\u0119dna<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 4 (Tydzie\u0144 4)<\/strong> &#8211; Funkcje i ich przekszta\u0142cenia<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 5 (Tydzie\u0144 5)<\/strong> &#8211; Funkcja kwadratowa<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 6 (Tydzie\u0144 6)<\/strong> &#8211; Wielomiany<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 7 (Tydzie\u0144 7 i 8)<\/strong> &#8211; Wyra\u017cenia wymierne; Funkcja wyk\u0142adnicza; Funkcja logarytmiczna; Funkcja wymierna<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 8 (Tydzie\u0144 9)<\/strong> &#8211; Dowody algebraiczne<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 9 (Tydzie\u0144 10 i 11)<\/strong> &#8211; Trygonometria<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 10 (Tydzie\u0144 12 i 13)<\/strong> &#8211; Geometria klasyczna<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 11 (Tydzie\u0144 14)<\/strong> &#8211; Geometria analityczna<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 12 (Tydzie\u0144 15)<\/strong> &#8211; Dowody geometryczne<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 13 (Tydzie\u0144 16 i 17)<\/strong> &#8211; Stereometria<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 14 (Tydzie\u0144 18)<\/strong> &#8211; Ci\u0105gi<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 15 (Tydzie\u0144 19)<\/strong> &#8211; Granice<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 16 (Tydzie\u0144 20 i 21)<\/strong> &#8211; Pochodne i optymalizacja<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 18 (Tydzie\u0144 22 i 23)<\/strong> &#8211; Kombinatoryka i Prawdopodobie\u0144stwo<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 19 (Tydzie\u0144 24)<\/strong> &#8211; Podsumowanie, powt\u00f3rzenie, tricki maturalne, taktyka na dni matur, taktyka na matury<\/li>\n\n\n\n<li style=\"margin-top:0;margin-right:var(--wp--preset--spacing--40);margin-bottom:var(--wp--preset--spacing--40);margin-left:var(--wp--preset--spacing--30)\"><strong>Sekcja 20 (W Maju przed matur\u0105 rozszerzon\u0105)<\/strong> &#8211; Dwa 2-godzinne spotkania w celu om\u00f3wienia pr\u00f3bnych arkuszy maturalnych<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top kolumna31 is-layout-flow wp-container-core-column-is-layout-8c381d87 wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h2 class=\"wp-block-heading has-x-large-font-size\">Program nauczania i co robimy na zaj\u0119ciach?<\/h2>\n\n\n\n<p class=\"is-style-default has-medium-font-size wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Ka\u017cda lekcja trwa 60 minut i obejmuje og\u00f3lne omawianie sekcji, odpowiedzi na pytania oraz wsp\u00f3lne rozwi\u0105zywanie  istotniejszych zada\u0144. Na pierwszych i dw\u00f3ch ostatnich zaj\u0119ciach (poza pr\u00f3bnymi maturami) poruszamy te\u017c tematy og\u00f3lne, takie jak znaczenie matury, skuteczne metody nauki, format rekrutacji na studia czy taktyki i sztuczki maturalne. Program zosta\u0142 u\u0142o\u017cony w logicznej kolejno\u015bci, a trudniejsze dzia\u0142y realizujemy przez dwa tygodnie, by mie\u0107 pewno\u015b\u0107 opanowania trudniejszych kwestii.<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator alignfull has-text-color has-alpha-channel-opacity has-background is-style-wide is-style-wide--3\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignfull is-style-default has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide kolumny4 is-layout-flex wp-container-core-columns-is-layout-a79d18f9 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-top kolumna41 is-layout-flow wp-container-core-column-is-layout-8c381d87 wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h2 class=\"wp-block-heading has-x-large-font-size\" style=\"margin-top:0;margin-bottom:0\">Przyk\u0142ad sekcji &#8211; Zbi\u00f3r zada\u0144<\/h2>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Na przyk\u0142adzie sekcji o funkcji kwadratowej wida\u0107 podstaw\u0119 ka\u017cdej cz\u0119\u015bci kursu \u2013 zestaw zada\u0144 potrzebnych do opanowania materia\u0142u. Zawiera on:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>zadania przygotowawcze<\/strong> \u2013 kr\u00f3tsze, przypominaj\u0105ce kluczowe umiej\u0119tno\u015bci,<\/li>\n\n\n\n<li><strong>zadania maturalne<\/strong> \u2013 zar\u00f3wno typowe, jak i trudniejsze, rzadziej spotykane.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Zadania oznaczone na niebiesko maj\u0105 pe\u0142ne rozwi\u0105zanie w formie pliku png, a te z czerwon\u0105 kropk\u0105 \u2013 nagranie wideo z dok\u0142adnym om\u00f3wieniem. Cho\u0107 ka\u017cda sekcja to oko\u0142o 30 zada\u0144 (co przy 20 dzia\u0142ach daje \u0142\u0105cznie 600), nie trzeba rozwi\u0105zywa\u0107 ich wszystkich \u2013 taka liczba jest przygotowana dla os\u00f3b, kt\u00f3re chc\u0105 intensywnie \u0107wiczy\u0107. Do ka\u017cdej sekcji do\u0142\u0105czam te\u017c film, w kt\u00f3rym omawiam dany rozdzia\u0142 i wskazuj\u0119 najwa\u017cniejsze zadania.<\/p>\n\n\n\n<div class=\"wp-block-file has-link-color wp-elements-d61408adbad73259a660011f98b4f9d0\" style=\"margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--30)\"><a id=\"wp-block-file--media-e95c786a-6b96-4556-ac02-76beaf7d200b\" href=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/Lekcja-6-Funkcja-kwadratowa-zbior-zadan.pdf\">Lekcja 6 &#8211; Funkcja kwadratowa zbi\u00f3r zada\u0144<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center kolumna42 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:60%\"><div><style id=\"wp_carousel_dynamic_css508\">.sp-wp-carousel-free-id-508.wpcf-fancybox-wrapper .fancybox-bg{background: #0b0b0b;opacity: 0.8;}.sp-wp-carousel-free-id-508.wpcf-fancybox-wrapper .fancybox-navigation .fancybox-button 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has-alpha-channel-opacity has-background is-style-wide is-style-wide--4\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignfull is-style-default has-contrast-color has-base-background-color has-text-color has-background has-link-color wp-elements-d97c85ba5e7c9ea2990e1399b3216dd6 has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-group alignfull is-style-default has-global-padding is-content-justification-center is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide kolumny5 is-layout-flex wp-container-core-columns-is-layout-633b684a wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column kolumna52 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"846\" src=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5-1024x846.png\" alt=\"\" class=\"wp-image-305\" srcset=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5-1024x846.png 1024w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5-600x496.png 600w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5-300x248.png 300w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5-768x635.png 768w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-5.png 1111w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center kolumna51 is-layout-flow wp-container-core-column-is-layout-8c381d87 wp-block-column-is-layout-flow\" style=\"flex-basis:60%\">\n<h2 class=\"wp-block-heading has-contrast-color has-text-color has-link-color has-x-large-font-size wp-elements-e558e6d0a337515aead296c1eab85b1e\">Przyk\u0142ad sekcji &#8211; rozwi\u0105zania zada\u0144<\/h2>\n\n\n\n<p class=\"has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-654fe9744d4cab5568930c69759b2b9b wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Drugim elementem s\u0105 pliki z rozwi\u0105zaniami wi\u0119kszo\u015bci zada\u0144. Pozwalaj\u0105 one w zale\u017cno\u015bci od przyj\u0119tej strategii:<\/p>\n\n\n\n<ul style=\"font-style:normal;font-weight:300;line-height:1.6\" class=\"wp-block-list has-base-color has-text-color has-link-color has-medium-font-size wp-elements-07b27152676d03b882f6b95831acbe1a\">\n<li class=\"has-contrast-color has-text-color has-link-color has-lexend-font-family has-medium-font-size wp-elements-bbc86e2ac35f71859e32c009b6015da2\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Nauczy\u0107 si\u0119 schematu rozwi\u0105zywania danego problemu matematycznego.<\/li>\n\n\n\n<li class=\"has-contrast-color has-text-color has-link-color has-lexend-font-family has-medium-font-size wp-elements-bed4d2d8b1923a3ac655aad5fb36bc84\">Sprawdzi\u0107 swoje rozwi\u0105zanie.<\/li>\n\n\n\n<li class=\"has-contrast-color has-text-color has-link-color has-lexend-font-family has-medium-font-size wp-elements-56387aa745c0fe52dd91caad40e8c2d5\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Utrwali\u0107 wiedz\u0119 poprzez samo sprawdzanie rozwi\u0105za\u0144, bez ich wykonywania.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-244b9c76a9c7dd607f0509bb77838084 wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Warto je jednak traktowa\u0107 jako uzupe\u0142nienie, gdy\u017c ci\u0119\u017cko na papierze dobrze wszystko wyt\u0142umaczy\u0107. Z tego powodu w ka\u017cdej sekcji znajdziemy te\u017c wiele materia\u0142\u00f3w wideo.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator alignfull has-text-color has-alpha-channel-opacity has-background is-style-wide is-style-wide--5\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignfull is-style-default has-base-background-color has-background has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-columns alignwide kolumny6 is-layout-flex wp-container-core-columns-is-layout-d5e1f739 wp-block-columns-is-layout-flex\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20);padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-column is-vertically-aligned-top kolumna61 is-layout-flow wp-container-core-column-is-layout-8c381d87 wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<h2 class=\"wp-block-heading has-contrast-color has-text-color has-link-color has-x-large-font-size wp-elements-6016cebd148fce313b5f49ce7bdb52a6\">Przyk\u0142ad sekcji &#8211; materia\u0142y wideo<\/h2>\n\n\n\n<p class=\"has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-c34a95ba9f7a5cd6add474716e27404a wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Kolejnym elementem s\u0105 rozwi\u0105zania wideo do wa\u017cnych zada\u0144. T\u0142umacz\u0119 na nich bardzo dok\u0142adnie krok po kroku schemat my\u015blenia i  opowiadam o danym typie matematycznego problemu. Materia\u0142y s\u0105 kr\u00f3tkie i konkretne, czyli tak jak najlepiej przyswaja si\u0119 matematyk\u0119.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center kolumna62 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<div data-video-id=\"1\" class=\"wp-block-html5-player-video html5_video_players\" data-attributes=\"{&quot;imported&quot;:true,&quot;uniqueId&quot;:&quot;h5vpc53c8c02&quot;,&quot;source&quot;:&quot;https:\\\/\\\/videos.files.wordpress.com\\\/UXhAWezJ\\\/na-stronke-filmik.mp4&quot;,&quot;options&quot;:{&quot;controls&quot;:[&quot;play-large&quot;,&quot;play&quot;,&quot;progress&quot;,&quot;current-time&quot;,&quot;mute&quot;,&quot;volume&quot;,&quot;settings&quot;,&quot;fullscreen&quot;],&quot;settings&quot;:[&quot;captions&quot;,&quot;quality&quot;,&quot;speed&quot;,&quot;loop&quot;],&quot;loadSprite&quot;:true,&quot;autoplay&quot;:false,&quot;seekTime&quot;:10,&quot;volume&quot;:1,&quot;muted&quot;:false,&quot;hideControls&quot;:true,&quot;resetOnEnd&quot;:false,&quot;tooltips&quot;:{&quot;controls&quot;:true,&quot;seek&quot;:true},&quot;captions&quot;:{&quot;active&quot;:false,&quot;language&quot;:&quot;auto&quot;,&quot;update&quot;:true},&quot;ratio&quot;:null,&quot;storage&quot;:{&quot;enabled&quot;:true,&quot;key&quot;:&quot;plyr&quot;},&quot;speed&quot;:{&quot;options&quot;:[&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;0.5&quot;,&quot;0.75&quot;,&quot;1.25&quot;,&quot;1.5&quot;,&quot;1.75&quot;,&quot;2.5&quot;]},&quot;loop&quot;:{&quot;active&quot;:false},&quot;ads&quot;:{&quot;enabled&quot;:true},&quot;urls&quot;:{&quot;enabled&quot;:false},&quot;markers&quot;:{&quot;enabled&quot;:true,&quot;points&quot;:[]},&quot;preload&quot;:&quot;metadata&quot;,&quot;imported&quot;:true},&quot;features&quot;:{&quot;popup&quot;:{&quot;enabled&quot;:false,&quot;type&quot;:&quot;poster&quot;,&quot;btnText&quot;:&quot;Watch Video&quot;,&quot;align&quot;:&quot;center&quot;,&quot;btnStyle&quot;:{&quot;color&quot;:&quot;#fff&quot;,&quot;backgroundColor&quot;:&quot;#006BA1&quot;,&quot;fontSize&quot;:&quot;16px&quot;,&quot;padding&quot;:{&quot;top&quot;:&quot;10px&quot;,&quot;right&quot;:&quot;20px&quot;,&quot;bottom&quot;:&quot;10px&quot;,&quot;left&quot;:&quot;20px&quot;}}},&quot;overlay&quot;:{&quot;enabled&quot;:false,&quot;items&quot;:[{&quot;color&quot;:&quot;#ffffff&quot;,&quot;backgroundColor&quot;:&quot;#333&quot;,&quot;fontSize&quot;:{&quot;number&quot;:20,&quot;unit&quot;:&quot;px&quot;},&quot;position&quot;:&quot;top_right&quot;,&quot;type&quot;:&quot;logo&quot;,&quot;opacity&quot;:0.8}]},&quot;endScreen&quot;:{&quot;enabled&quot;:false,&quot;text&quot;:&quot;Endscreen text&quot;,&quot;btnText&quot;:&quot;Watch Again&quot;,&quot;btnLink&quot;:&quot;#&quot;,&quot;btnStyle&quot;:[]},&quot;thumbInPause&quot;:{&quot;enabled&quot;:false,&quot;type&quot;:&quot;default&quot;},&quot;watermark&quot;:{&quot;color&quot;:&quot;#f00&quot;,&quot;type&quot;:&quot;email&quot;,&quot;text&quot;:&quot;&quot;},&quot;passwordProtected&quot;:{&quot;enabled&quot;:false,&quot;errorMessage&quot;:&quot;Password didn&#039;t matched&quot;,&quot;heading&quot;:&quot;Please Entire the password to access the video&quot;,&quot;button&quot;:{&quot;text&quot;:&quot;Access&quot;,&quot;color&quot;:&quot;#222&quot;,&quot;backgroundColor&quot;:&quot;#ffffffe3&quot;},&quot;password&quot;:null},&quot;sticky&quot;:{&quot;enabled&quot;:false,&quot;position&quot;:&quot;top_right&quot;},&quot;playWhenVisible&quot;:false,&quot;disablePause&quot;:false,&quot;hideYoutubeUI&quot;:false,&quot;startTime&quot;:0,&quot;hideLoadingPlaceholder&quot;:false},&quot;styles&quot;:{&quot;plyr_wrapper&quot;:{&quot;width&quot;:&quot;100%&quot;},&quot;plyr&quot;:{&quot;borderRadius&quot;:&quot;0px&quot;},&quot;.plyr&quot;:{&quot;--plyr-color-main&quot;:&quot;#00b2ff&quot;}},&quot;width&quot;:{&quot;deprecated&quot;:true,&quot;number&quot;:100,&quot;unit&quot;:&quot;%&quot;,&quot;isDeprecated&quot;:true},&quot;provider&quot;:&quot;self-hosted&quot;,&quot;skin&quot;:&quot;default&quot;,&quot;poster&quot;:&quot;&quot;,&quot;subtitle&quot;:[],&quot;controls&quot;:{&quot;play-large&quot;:true,&quot;restart&quot;:false,&quot;rewind&quot;:false,&quot;play&quot;:true,&quot;fast-forward&quot;:false,&quot;progress&quot;:true,&quot;current-time&quot;:true,&quot;duration&quot;:false,&quot;mute&quot;:true,&quot;volume&quot;:true,&quot;pip&quot;:false,&quot;airplay&quot;:false,&quot;settings&quot;:true,&quot;downlaod&quot;:false,&quot;fullscreen&quot;:true},&quot;brandColor&quot;:&quot;#00B3FF&quot;,&quot;radius&quot;:{&quot;number&quot;:0,&quot;unit&quot;:&quot;px&quot;},&quot;repeat&quot;:false,&quot;autoplay&quot;:false,&quot;muted&quot;:false,&quot;playsinline&quot;:false,&quot;resetOnEnd&quot;:false,&quot;autoHideControl&quot;:true,&quot;preload&quot;:&quot;metadata&quot;,&quot;video_id&quot;:1}\">\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator alignfull has-text-color has-alpha-channel-opacity has-background is-style-wide is-style-wide--6\" style=\"margin-top:var(--wp--preset--spacing--60);margin-bottom:var(--wp--preset--spacing--60);background-color:#aeaeae;color:#aeaeae\"\/>\n\n\n\n<div class=\"wp-block-group alignfull is-style-default has-contrast-color has-base-background-color has-text-color has-background has-link-color has-medium-font-size wp-elements-2582e627e53a089ccffa86bf7d6ff753 has-global-padding is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0;font-style:normal;font-weight:300;line-height:1.6\">\n<div class=\"wp-block-columns alignwide kolumny7 is-layout-flex wp-container-core-columns-is-layout-b3e8a937 wp-block-columns-is-layout-flex\" style=\"padding-bottom:var(--wp--preset--spacing--50)\">\n<div class=\"wp-block-column kolumna72 is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:60%\">\n<figure class=\"wp-block-image size-full has-custom-border\"><img loading=\"lazy\" decoding=\"async\" width=\"657\" height=\"813\" src=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-1.png\" alt=\"\" class=\"has-border-color wp-image-178\" style=\"border-color:#dddddd;border-width:1px\" srcset=\"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-1.png 657w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-1-600x742.png 600w, http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-content\/uploads\/2025\/08\/image-1-242x300.png 242w\" sizes=\"auto, (max-width: 657px) 100vw, 657px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-top kolumna71 is-layout-flow wp-container-core-column-is-layout-9a0fd1a4 wp-block-column-is-layout-flow\" style=\"flex-basis:60%\">\n<h2 class=\"wp-block-heading has-contrast-color has-text-color has-link-color has-x-large-font-size wp-elements-0207cf868ca9b717b626cb9a88f30fa9\">Przyk\u0142ad sekcji &#8211; lista wzor\u00f3w i twierdze\u0144<\/h2>\n\n\n\n<p class=\"has-contrast-color has-text-color has-link-color has-medium-font-size wp-elements-33fdfca155dde968c0facc0f2b374f44 wp-block-paragraph\" style=\"font-style:normal;font-weight:300;line-height:1.6\">Ostatnim ju\u017c elementem ka\u017cdej sekcji jest kr\u00f3tka lista wzor\u00f3w i twierdze\u0144 potrzebnych do danego rozdzia\u0142u. Niestety nie wszystkie istotne wzory znajduj\u0105 si\u0119 w karcie maturalnej, dlatego przychodz\u0119 z pomoc\u0105 i uzupe\u0142niam brakuj\u0105ce wzory do zapami\u0119tania. Na koniec kursu pojawi si\u0119 r\u00f3wnie\u017c pe\u0142na lista kilku wzor\u00f3w, kt\u00f3rych trzeba si\u0119 nauczy\u0107 przed oficjalnym egzaminem<\/p>\n\n\n\n<ul style=\"font-style:normal;font-weight:300;line-height:1.6\" class=\"wp-block-list has-base-color has-text-color has-link-color has-lexend-font-family has-medium-font-size wp-elements-1a8350d55cb1567eea24534326f10ab0\">\n<li><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Jak dzia\u0142a kurs i dlaczego jest skuteczny? Opieka nad kursantami \u0142\u0105czy dwa filary: materia\u0142y do samodzielnej nauki (np. wideo, zdj\u0119cia rozwi\u0105za\u0144) oraz grupowe zaj\u0119cia online. Dzi\u0119ki temu ka\u017cdy mo\u017ce najpierw w swoim tempie pozna\u0107 nieco temat, a potem na zaj\u0119ciach rozwia\u0107 w\u0105tpliwo\u015bci, zada\u0107 pytania i pozna\u0107 dodatkowe metody. Organizacja kursu Po zakupie kursu ucze\u0144 otrzymuje [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-84","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/pages\/84","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/comments?post=84"}],"version-history":[{"count":116,"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/pages\/84\/revisions"}],"predecessor-version":[{"id":1235,"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/pages\/84\/revisions\/1235"}],"wp:attachment":[{"href":"http:\/\/archiwum.matemorfoza.pl\/MichalHD\/wp-json\/wp\/v2\/media?parent=84"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}