{"id":1070,"date":"2013-02-18T10:57:00","date_gmt":"2013-02-18T10:57:00","guid":{"rendered":"http:\/\/theglobalschool.net\/maths\/?page_id=1070"},"modified":"2013-02-18T10:57:00","modified_gmt":"2013-02-18T10:57:00","slug":"lnlk","status":"publish","type":"page","link":"http:\/\/maths.crusoecollege.vic.edu.au\/lnlk\/","title":{"rendered":"Linear and Non-Linear Equations: Level K"},"content":{"rendered":"<h1>Solve linear equations<\/h1>\n<ul>\n<li>Solve problems involving linear equations, including those derived from formulas <a title=\"View elaborations and additional details of ACMNA235\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA235\">(ACMNA235)<\/a><\/li>\n<li>Solve linear equations involving simple algebraic fractions <a title=\"View elaborations and additional details of ACMNA240\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA240\">(ACMNA240)<\/a><\/li>\n<li>Solve problems involving parallel and perpendicular lines <a title=\"View elaborations and additional details of ACMNA238\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA238\">(ACMNA238)<\/a><\/li>\n<\/ul>\n<h2>Video: The Coordinate Geometry of Typography Page<\/h2>\n<p>Computers use mathematical expressions to display points, lines, curves and shapes to represent images.<\/p>\n<p><iframe loading=\"lazy\" title=\"Level K Coordinate Geometry and Typography (task)\" src=\"https:\/\/player.vimeo.com\/video\/72182597?dnt=1&amp;app_id=122963\" width=\"580\" height=\"407\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" title=\"Level K Coordinate Geometry and Typography (explanation)\" src=\"https:\/\/player.vimeo.com\/video\/72182598?dnt=1&amp;app_id=122963\" width=\"580\" height=\"323\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<h2>Task: Graphing letters<\/h2>\n<p>Find the coordinates and gradients of the letters A and K before choosing your own letters to represent using linear and non-linear equations. One should include two lines that are parallel and two that are perpendicular &#8211; how do their gradients relate?<\/p>\n<p>&nbsp;<\/p>\n<h1>Solve simultaneous equations<\/h1>\n<ul>\n<li>Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology <a title=\"View elaborations and additional details of ACMNA237\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA237\">(ACMNA237)<\/a><\/li>\n<\/ul>\n<h2>Video: Solving linear simultaneous equations<\/h2>\n<p>Use number plumber and algebra to find the cheapest rental truck.<\/p>\n<p><iframe loading=\"lazy\" title=\"Level K Linear Relations\" src=\"https:\/\/player.vimeo.com\/video\/71471116?dnt=1&amp;app_id=122963\" width=\"580\" height=\"324\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<h2>Task: Find the cheapest rental truck<\/h2>\n<p>Use <a href=\"http:\/\/nrich.maths.org\/DataFlow\/DataFlow.html\">number plumber<\/a> (load the\u00a0<a href=\"http:\/\/maths.crusoecollege.vic.edu.au\/wp-content\/uploads\/2013\/02\/Hiring-a-moving-truck.zip\">Hiring-a-moving-truck<\/a> example) and algebra to find the cheapest rental truck.<\/p>\n<p>&nbsp;<\/p>\n<h1>Solve inequalities<\/h1>\n<ul>\n<li>Solve linear inequalities and graph their solutions on a number line <a title=\"View elaborations and additional details of ACMNA236\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA236\">(ACMNA236)<\/a><\/li>\n<\/ul>\n<h2>Video: Graphing inequalities Page<\/h2>\n<p>Using Geogebra to graph inequalities<\/p>\n<p><iframe loading=\"lazy\" title=\"Inequalities (Level K)\" src=\"https:\/\/player.vimeo.com\/video\/72815941?dnt=1&amp;app_id=122963\" width=\"580\" height=\"350\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" title=\"Tutorial: &amp;quot;You sank my inequality!&amp;quot;\" src=\"https:\/\/player.vimeo.com\/video\/73352775?dnt=1&amp;app_id=122963\" width=\"580\" height=\"326\" frameborder=\"0\" allow=\"autoplay; fullscreen; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<h2>Task: &#8220;You sunk my inequality!&#8221;<\/h2>\n<p>Choose coordinates for your battleship and use inequalities to plot your opponent&#8217;s destruction! <a href=\"http:\/\/www.geogebratube.org\/student\/m46747?mobile=true\">Optional game board<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<h1>Non-linear relationships<\/h1>\n<ul>\n<li>Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate <a title=\"View elaborations and additional details of ACMNA239\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA239\">(ACMNA239)<\/a><\/li>\n<li>Solve simple quadratic equations using a range of strategies <a title=\"View elaborations and additional details of ACMNA241\" href=\"http:\/\/ausvels.vcaa.vic.edu.au\/Curriculum\/ContentDescription\/ACMNA241\">(ACMNA241)<\/a><\/li>\n<\/ul>\n<h2>Interactive: <a href=\"http:\/\/www.geogebratube.org\/student\/m46426?mobile=true\">Graphing parabolas<\/a><\/h2>\n<p>Graph parabolas using Geogebra.<\/p>\n<h2>Interactive: <a href=\"http:\/\/www.geogebratube.org\/student\/m46740?mobile=true\">Throwing a ball<\/a><\/h2>\n<p>Apply quadratic equations to projectile motion.<\/p>\n<p>&nbsp;<\/p>\n<h1>Resources<\/h1>\n<ul>\n<li><a href=\"http:\/\/maths.crusoecollege.vic.edu.au\/wp-content\/uploads\/2013\/02\/Level-JK.pdf\">Skills Practice: Level J and K<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Solve linear equations Solve problems involving linear equations, including those derived from formulas (ACMNA235) Solve linear equations involving simple algebraic fractions (ACMNA240) Solve problems involving parallel and perpendicular&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages\/1070"}],"collection":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/comments?post=1070"}],"version-history":[{"count":0,"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/pages\/1070\/revisions"}],"wp:attachment":[{"href":"http:\/\/maths.crusoecollege.vic.edu.au\/wp-json\/wp\/v2\/media?parent=1070"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}