{"id":115,"date":"2013-03-31T16:07:31","date_gmt":"2013-03-31T16:07:31","guid":{"rendered":"http:\/\/mathedup.wordpress.com\/?page_id=115"},"modified":"2015-05-28T21:37:18","modified_gmt":"2015-05-28T20:37:18","slug":"roots-of-quadratic-equations","status":"publish","type":"page","link":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/","title":{"rendered":"Roots of quadratic equations"},"content":{"rendered":"<p><a title=\"Roots of quadratics 1\" href=\"https:\/\/www.dropbox.com\/s\/3ljv4kyj833zcye\/Roots%20of%20quadratics%20lesson%201.notebook\" target=\"_blank\">Roots of quadratics 1<\/a> &#8211; Smart Notebook &#8211; A lesson which involves a rich starter activity (<a title=\"Look before you leap\" href=\"http:\/\/nrich.maths.org\/public\/viewer.php?obj_id=762\" target=\"_blank\">nrich 762<\/a>) followed by an investigation into the link between the roots of quadratics.<\/p>\n<p><a title=\"Roots of quadratics 2\" href=\"https:\/\/www.dropbox.com\/s\/1r651msbr1bin1n\/Roots%20of%20quadratics%20lesson%202.notebook\" target=\"_blank\">Roots of quadratics 2<\/a> &#8211; Smart Notebook &#8211; Follows up with some examples and an exam question as a plenary.<\/p>\n<p><a title=\"Investigate roots\" href=\"https:\/\/www.dropbox.com\/s\/ax7d4favmfugiu1\/Investigate%20roots.xls\" target=\"_blank\">Investigate roots<\/a> &#8211; Excel &#8211; Experiment with different values to find a link between the sums and products.<\/p>\n<p><a title=\"Roots of quadratics 1 \" href=\"https:\/\/www.dropbox.com\/s\/vs3zs91xt2ekelb\/Roots%20of%20quadratic%20equations%201.ppt\" target=\"_blank\">Roots of quadratics 1 <\/a>&#8211; Powerpoint &#8211; Proving results from experiment followed by worked example<\/p>\n<p><a title=\"Roots of quadratics matching activity\" href=\"https:\/\/www.dropbox.com\/s\/lodehgygixbxl1c\/Roots%20of%20quadratics%20-%20matching%20activity.pdf\" target=\"_blank\">Roots of quadratics matching activity<\/a> &#8211; PDF- Excellent activity produced by Susan Wall. Could be used in a revision lesson..<\/p>\n<p><a href=\"https:\/\/www.dropbox.com\/s\/r2fxmh25l0azgwk\/Quadratic_roots_PRET_MLA.pptx?dl=0\">PRET homework task<\/a><\/p>\n<p><a href=\"https:\/\/mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations.png\"><img data-attachment-id=\"2219\" data-permalink=\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/roots_of_quadratic_equations\/#main\" data-orig-file=\"https:\/\/www.mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations.png\" data-orig-size=\"1386,1042\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Roots_of_quadratic_equations\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/www.mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations-300x225.png\" data-large-file=\"https:\/\/www.mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations-1024x769.png\" decoding=\"async\" loading=\"lazy\" class=\"alignnone size-thumbnail wp-image-2219\" src=\"https:\/\/mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations-150x150.png\" alt=\"Roots_of_quadratic_equations\" width=\"150\" height=\"150\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>The videos below are by <a title=\"TLMaths\" href=\"https:\/\/www.youtube.com\/channel\/UCCgGyPD6MYQcHuMIc-Kv-Uw\" target=\"_blank\">Jack Brown<\/a>.<\/p>\n<iframe class=\"youlist\" style=\"width:100%;height:400px;\" src=\"http:\/\/www.youtube.com\/embed\/?listType=playlist&list=PL0sgfvQGLNJvHbwT7A85_ZYPtikAGTQH2&#038;modestbranding=1&#038;showinfo=1&#038;theme=dark&#038;controls=1&#038;color=red&#038;rel=1&#038;start=0&#038;loop=0&#038;iv_load_policy=1&#038;fs=1&#038;disablekb=0&#038;autohide=2&#038;autoplay=0&#038;version=3\"><\/iframe>\n<p><span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"646\" height=\"364\" src=\"https:\/\/www.youtube.com\/embed\/7FktNpAhjzQ?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation\"><\/iframe><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Roots of quadratics 1 &#8211; Smart Notebook &#8211; A lesson which involves a rich starter activity (nrich 762) followed by an investigation into the link between the roots of quadratics. Roots of quadratics 2 &#8211; Smart Notebook &#8211; Follows up with some examples and an exam question as a plenary. Investigate roots &#8211; Excel &#8211; [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":119,"menu_order":2,"comment_status":"open","ping_status":"closed","template":"","meta":{"_mi_skip_tracking":false},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Roots of quadratic equations - MathedUp!<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Roots of quadratic equations - MathedUp!\" \/>\n<meta property=\"og:description\" content=\"Roots of quadratics 1 &#8211; Smart Notebook &#8211; A lesson which involves a rich starter activity (nrich 762) followed by an investigation into the link between the roots of quadratics. Roots of quadratics 2 &#8211; Smart Notebook &#8211; Follows up with some examples and an exam question as a plenary. Investigate roots &#8211; Excel &#8211; [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/\" \/>\n<meta property=\"og:site_name\" content=\"MathedUp!\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Mathedup?fref=ts\" \/>\n<meta property=\"article:modified_time\" content=\"2015-05-28T20:37:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations-150x150.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@TwoBridgesSch\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/\",\"url\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/\",\"name\":\"Roots of quadratic equations - MathedUp!\",\"isPartOf\":{\"@id\":\"https:\/\/www.mathedup.co.uk\/#website\"},\"datePublished\":\"2013-03-31T16:07:31+00:00\",\"dateModified\":\"2015-05-28T20:37:18+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.mathedup.co.uk\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Key Stage 5\",\"item\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Further Pure\",\"item\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Further Pure 1\",\"item\":\"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"Roots of quadratic equations\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.mathedup.co.uk\/#website\",\"url\":\"https:\/\/www.mathedup.co.uk\/\",\"name\":\"MathedUp!\",\"description\":\"FOR YOUR MATHS TEACHING AND LEARNING NEEDS\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.mathedup.co.uk\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Roots of quadratic equations - MathedUp!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/","og_locale":"en_US","og_type":"article","og_title":"Roots of quadratic equations - MathedUp!","og_description":"Roots of quadratics 1 &#8211; Smart Notebook &#8211; A lesson which involves a rich starter activity (nrich 762) followed by an investigation into the link between the roots of quadratics. Roots of quadratics 2 &#8211; Smart Notebook &#8211; Follows up with some examples and an exam question as a plenary. Investigate roots &#8211; Excel &#8211; [&hellip;]","og_url":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/","og_site_name":"MathedUp!","article_publisher":"https:\/\/www.facebook.com\/Mathedup?fref=ts","article_modified_time":"2015-05-28T20:37:18+00:00","og_image":[{"url":"https:\/\/mathedup.co.uk\/wp-content\/uploads\/2013\/03\/Roots_of_quadratic_equations-150x150.png"}],"twitter_card":"summary_large_image","twitter_site":"@TwoBridgesSch","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/","url":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/","name":"Roots of quadratic equations - MathedUp!","isPartOf":{"@id":"https:\/\/www.mathedup.co.uk\/#website"},"datePublished":"2013-03-31T16:07:31+00:00","dateModified":"2015-05-28T20:37:18+00:00","breadcrumb":{"@id":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/roots-of-quadratic-equations\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.mathedup.co.uk\/"},{"@type":"ListItem","position":2,"name":"Key Stage 5","item":"https:\/\/www.mathedup.co.uk\/key-stage-5\/"},{"@type":"ListItem","position":3,"name":"Further Pure","item":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/"},{"@type":"ListItem","position":4,"name":"Further Pure 1","item":"https:\/\/www.mathedup.co.uk\/key-stage-5\/further-pure\/further-pure-1\/"},{"@type":"ListItem","position":5,"name":"Roots of quadratic equations"}]},{"@type":"WebSite","@id":"https:\/\/www.mathedup.co.uk\/#website","url":"https:\/\/www.mathedup.co.uk\/","name":"MathedUp!","description":"FOR YOUR MATHS TEACHING AND LEARNING NEEDS","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.mathedup.co.uk\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"}]}},"jetpack_shortlink":"https:\/\/wp.me\/P3r3Ao-1R","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/pages\/115"}],"collection":[{"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/comments?post=115"}],"version-history":[{"count":4,"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/pages\/115\/revisions"}],"predecessor-version":[{"id":2923,"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/pages\/115\/revisions\/2923"}],"up":[{"embeddable":true,"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/pages\/119"}],"wp:attachment":[{"href":"https:\/\/www.mathedup.co.uk\/wp-json\/wp\/v2\/media?parent=115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}