{"id":907,"date":"2024-02-15T14:04:45","date_gmt":"2024-02-15T07:04:45","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=907"},"modified":"2025-09-10T14:05:22","modified_gmt":"2025-09-10T07:05:22","slug":"desmos-aljabar-trig","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/desmos-aljabar-trig\/","title":{"rendered":"Aktivitas Pembelajaran Digital untuk Aljabar dan Trigonometri"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-content-justification-right\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/digital-task-sequences-algebra-trigonometry\/\">EN<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">Laman ini memuat berbagai macam aktivitas pembelajaran digital yang dikembangkan dengan menggunakan <a href=\"https:\/\/www.desmos.com\/\">Desmos<\/a>. Aktivitas-aktivitas tersebut dikembangkan untuk mata kuliah Aljabar dan Trigonometri agar mahasiswa mengembangkan pengetahuan konten matematika tetapi juga mengembangkan penalaran kuantitatif dan kovariansnya. Meskipun demikian, aktivitas-aktivitas pembelajaran tersebut juga dapat digunakan untuk peserta didik jenjang SMA ketika mempelajari topik-topik matematika yang relevan.<\/p>\n\n\n\n<div class=\"wp-block-group alignfull has-green-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h2 class=\"has-text-align-center\">Grafik dan Persamaannya<\/h2>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-membangun-gedung.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-909\" data-recalc-dims=\"1\"\/><\/figure>\n\n\n\n<p><strong>Waktunya membangun gedung pencakar langit!<\/strong><\/p>\n\n\n\n<p>Aktivitas ini memandu peserta didik untuk mengkonstruksi grafik suatu relasi melalui permasalahan pembangunan dua gedung pencakar langit.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/64eef6fb2e40f7484550d329?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-mengomunikasikan-relasi.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-910\" data-recalc-dims=\"1\"\/><\/figure>\n\n\n\n<p><strong>Mengomunikasikan sebuah relasi<\/strong><\/p>\n\n\n\n<p>Melalui aktivitas pembelajaran ini, peserta didik belajar untuk mengomunikasikan dua besaran yang berubah secara bersama-sama.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/64f5ccaf1963ac8e9c0d1ec0?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h2 class=\"has-text-align-center\">Fungsi<\/h2>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-relasi-spesial.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-913\" data-recalc-dims=\"1\"\/><\/figure>\n\n\n\n<p><strong>Hari spesial untuk relasi yang spesial<\/strong><\/p>\n\n\n\n<p>Di dalam rangkaian aktivitas pembelajaran ini, peserta didik akan (a) mengenal fungsi serta mengidentifikasi daerah asal, daerah hasil, dan daerah kawannya; (b) mengidentifikasi karakteristik fungsi satu-satu; dan (c) menentukan fungsi invers.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/6501bc501fc77597979a1d28?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-penguapan-air.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-914\" data-recalc-dims=\"1\"\/><\/figure>\n\n\n\n<p><strong>Menyelidiki penguapan air<\/strong><\/p>\n\n\n\n<p>Setelah menyelesaikan rangkaian aktivitas pembelajaran ini, peserta didik diharapkan mampu menyelesaikan masalah dengan menggunakan komposisi fungsi.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/6509c627c0fdc5d41b7821b4?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-seberapa-panas-bumi.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-903\" data-recalc-dims=\"1\"\/><\/figure>\n\n\n\n<p><strong>Matematika membumi: Seberapa panas bumi kita?<\/strong><\/p>\n\n\n\n<p>Di dalam rangkaian aktivitas pembelajaran ini, peserta didik membangun pemahaman tentang transformasi fungsi melalui penyelidikan terhadap isu penting tentang bumi saat ini, yaitu pemanasan global.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/65143efff9e13c42cda39192?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-purple-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h2 class=\"alignwide has-text-align-center\">Fungsi Polinomial dan Rasional<\/h2>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-fungsi-kuadrat.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-920\" data-recalc-dims=\"1\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column\" style=\"flex-basis:66.66%\">\n<p><strong>Bedanya beda: sama?<\/strong><\/p>\n\n\n\n<p>Ide utama dari fungsi kuadrat adalah bahwa beda dari bedanya konstan ketika inputnya berubah satu satuan. Di dalam aktivitas ini, peserta didik akan menyelidiki ide tersebut dengan menggunakan konteks gerak lurus berubah beraturan.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/651fabc84a4ae0796d74dd7f?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-gray-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h2 class=\"alignwide has-text-align-center\">Fungsi Eksponen dan Logaritma<\/h2>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-skema-tabungan.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-922\" data-recalc-dims=\"1\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column\" style=\"flex-basis:66.66%\">\n<p><strong>Skema tabungan mana yang kamu pilih?<\/strong><\/p>\n\n\n\n<p>Peserta didik memahami pertumbuhan uang dalam skema bunga tunggal dan bunga majemuk dengan menggunakan fungsi linear dan eksponensial.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/6551947b28ca29588c55b3eb?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group alignfull has-green-background-color has-background\"><div class=\"wp-block-group__inner-container\">\n<h2 class=\"has-text-align-center\">Fungsi Trigonometri<\/h2>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide\">\n<div class=\"wp-block-column\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full is-style-twentytwentyone-border\"><img loading=\"lazy\" width=\"750\" height=\"422\" src=\"https:\/\/i0.wp.com\/people.usd.ac.id\/~ydkristanto\/wp-content\/uploads\/2024\/02\/Desmos-fungsi-trig.png?resize=750%2C422&#038;ssl=1\" alt=\"\" class=\"wp-image-924\" data-recalc-dims=\"1\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column\" style=\"flex-basis:66.66%\">\n<p><strong>Grafik fungsi trigonometri: Mengenal dan menyelam lebih dalam<\/strong><\/p>\n\n\n\n<p>Melalui aktivitas pembelajaran ini, peserta didik menggunakan penalaran kuantitatif dan kovariannya untuk mensketsa grafik fungsi trigonometri. Peserta didik kemudian menggunakan pemahamannya tentang grafik fungsi trigonometri untuk mentransformasikannya.<\/p>\n\n\n\n<div class=\"wp-block-buttons\">\n<div class=\"wp-block-button is-style-outline\"><a class=\"wp-block-button__link\" href=\"https:\/\/teacher.desmos.com\/activitybuilder\/custom\/656945a0f7678dc22019fb40?collections=651e23c943f200bd64d30bb1&amp;lang=id\" target=\"_blank\" rel=\"noreferrer noopener\">Buka<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<div class=\"wp-block-group is-style-twentytwentyone-border\"><div class=\"wp-block-group__inner-container\">\n<div class=\"related-topics\">\n  <h3>Jelajahi topik-topik terkait<\/h3>\n  <p>Temukan konten-konten terkait lainnya dalam situs web ini.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Matematika\">Matematika<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Aljabar\">Aljabar<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Trigonometri\">Trigonometri<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Persamaan\">Persamaan<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Grafik\">Grafik<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Fungsi\">Fungsi<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Penalaran+Kovarian\">Penalaran Kovarian<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Sumber+Belajar+Interaktif\">Sumber Belajar Interaktif<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Laman ini memuat berbagai macam aktivitas pembelajaran digital yang dikembangkan dengan menggunakan Desmos. Aktivitas-aktivitas tersebut dikembangkan untuk mata kuliah Aljabar dan Trigonometri agar mahasiswa mengembangkan pengetahuan konten matematika tetapi juga mengembangkan penalaran kuantitatif dan kovariansnya. Meskipun demikian, aktivitas-aktivitas pembelajaran tersebut juga dapat digunakan untuk peserta didik jenjang SMA ketika mempelajari topik-topik matematika yang relevan. Grafik&hellip; <a class=\"more-link\" href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/media-pengajaran\/desmos-aljabar-trig\/\">Continue reading <span class=\"screen-reader-text\">Aktivitas Pembelajaran Digital untuk Aljabar dan Trigonometri<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":882,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-eD","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/907"}],"collection":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/comments?post=907"}],"version-history":[{"count":15,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/907\/revisions"}],"predecessor-version":[{"id":1405,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/907\/revisions\/1405"}],"up":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/882"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=907"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}