{"id":1386,"date":"2025-09-10T00:48:26","date_gmt":"2025-09-09T17:48:26","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1386"},"modified":"2025-09-10T14:01:23","modified_gmt":"2025-09-10T07:01:23","slug":"digital-task-sequences-algebra-trigonometry","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/digital-task-sequences-algebra-trigonometry\/","title":{"rendered":"Digital Task Sequences for Algebra and Trigonometry"},"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\/media-pengajaran\/desmos-aljabar-trig\/\">ID<\/a><\/div>\n<\/div>\n\n\n\n<p class=\"has-drop-cap\">This page contains a collection of digital task sequences developed using Desmos Classroom (now Amplify Classroom). They were designed for the Algebra and Trigonometry course, aiming not only to deepen mathematical content knowledge but also to strengthen quantitative reasoning and covariational thinking. Still, these digital task sequences can also be used with high school students when studying relevant mathematical topics.<\/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\">Graphs and Equations<\/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>Time to Build Skyscrapers!<\/strong><\/p>\n\n\n\n<p>This activity guides students to construct the graph of a relation through the problem of building two skyscrapers.<\/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\">Open<\/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>Communicating a Relation<\/strong><\/p>\n\n\n\n<p>Through this learning activity, students explore how to communicate two quantities that change together.<\/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\">Open<\/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\">Functions<\/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>A Special Day for a Special Relation<\/strong><\/p>\n\n\n\n<p>In this series of learning activities, students will (a) become familiar with functions and identify the domain, range, and codomain; (b) identify the characteristics of one-to-one functions; and (c) determine the inverse of a function.<\/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\">Open<\/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>Investigating Water Evaporation<\/strong><\/p>\n\n\n\n<p>After completing this series of learning activities, students are expected to be able to solve problems using function composition.<\/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\">Open<\/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>Down-To-Earth Mathematics: How Hot Is Our Earth?<\/strong><\/p>\n\n\n\n<p>In this series of learning activities, students develop an understanding of function transformations by investigating an important contemporary issue: global warming.<\/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\">Open<\/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\">Polynomial and Rational Functions<\/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>Difference of Differences: The Same?<\/strong><\/p>\n\n\n\n<p>The main idea of a quadratic function is that the difference of the differences is constant when the input changes by one unit. In this activity, students explore this concept using the context of uniformly accelerated linear motion.<\/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\">Open<\/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\">Exponential and Logarithmic Functions<\/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>Which Savings Plan Would You Choose?<\/strong><\/p>\n\n\n\n<p>Students explore how money grows in simple and compound interest schemes using linear and exponential functions.<\/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\">Open<\/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\">Trigonometric Functions<\/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>Trigonometric Function Graphs: Getting to Know and Diving Deeper<\/strong><\/p>\n\n\n\n<p>Through this learning activity, students use quantitative and covariational reasoning to sketch trigonometric function graphs. They then apply their understanding of these graphs to perform transformations.<\/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\">Open<\/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>Explore related topics<\/h3>\n  <p>Discover more contents with related topics in this website.<\/p>\n  <ul class=\"topics-list\">\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Mathematics\">Mathematics<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Algebra\">Algebra<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Trigonometry\">Trigonometry<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Equation\">Equation<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Graph\">Graph<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Function\">Function<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Covariational+Reasoning\">Covariational Reasoning<\/a><\/li>\n    <li><a href=\"https:\/\/people.usd.ac.id\/~ydkristanto\/?s=Interactive+Learning+Resource\">Interactive Learning Resource<\/a><\/li>\n  <\/ul>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Digital task sequences using Desmos for Algebra and Trigonometry, focusing on conceptual understanding and reasoning.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1140,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"advanced_seo_description":"","spay_email":""},"jetpack_shortlink":"https:\/\/wp.me\/P93lma-mm","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1386"}],"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=1386"}],"version-history":[{"count":3,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1386\/revisions"}],"predecessor-version":[{"id":1403,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1386\/revisions\/1403"}],"up":[{"embeddable":true,"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/pages\/1140"}],"wp:attachment":[{"href":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/wp-json\/wp\/v2\/media?parent=1386"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}