{"product_id":"intersecting-chords-worksheet","title":"Intersecting Chords Mastery | Interactive Digital Lesson | 5 Units, 253 Questions | IGCSE Higher","description":"\u003cp\u003e\u003cstrong\u003eBy the end of this lesson your child can use the intersecting chords rules to find a missing length when two chords cross inside a circle, when two lines meet outside it, and when one of those lines is a tangent, then solve the algebra and exam questions built on them.\u003c\/strong\u003e These rules are on the Edexcel IGCSE Higher paper but not on GCSE, and they are not on the formula sheet, so a student who has only been taught the GCSE circle theorems will not have seen them.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eAn extra IGCSE topic, not a full IGCSE course.\u003c\/strong\u003e This is one of 4 lessons covering the topics on the Edexcel IGCSE Higher specification that GCSE does not teach. It is for students who are already working through the GCSE Higher content. The topics IGCSE shares with GCSE, such as algebra, graphs and trigonometry, are in our \u003ca href=\"https:\/\/shlc-tutor.co.uk\/pages\/gcse-higher-maths-lessons\"\u003eGCSE Higher lessons\u003c\/a\u003e. Intersecting chords is on Edexcel IGCSE (4MA1) only, so it is not needed for Cambridge IGCSE.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eTopics covered:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eChords crossing inside a circle, using AP × PB = CP × PD to find a missing part, a whole chord or the radius when one chord is a diameter\u003c\/li\u003e\n\u003cli\u003eAlgebra inside the circle, setting up and solving linear equations and quadratics, by factorising or with the quadratic formula\u003c\/li\u003e\n\u003cli\u003eTwo lines meeting outside the circle, where each side is the outside part times the whole line, including show that questions\u003c\/li\u003e\n\u003cli\u003eA tangent and a line through the circle, using PT² = PA × PB, with exact surd answers and the unknown in either length\u003c\/li\u003e\n\u003cli\u003eThe hardest exam types, where the rule is one step in a longer question with Pythagoras, the area of a triangle, the cosine rule or the sine rule\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eYour child works through this lesson on a laptop or computer, which is the screen size it is built for. They click to reveal each line of a worked example, try the practice questions on paper, then click to check their own answer.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eHow it's structured:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eEach unit is split into 5 tabs, one per question type, with a worked example your child clicks through line by line, then practice questions colour coded easy, medium and hard\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003e27 worked examples and 253 practice questions\u003c\/strong\u003e, each with a click-to-reveal answer, plus New Questions and New Examples buttons that deal fresh numbers every time\u003c\/li\u003e\n\u003cli\u003eA 20 question final mix pulling from every unit, then 6 exam style IGCSE Higher questions with the worked answer revealed one line at a time\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003e\u003cstrong\u003eWhere the rules come from.\u003c\/strong\u003e Each rule has its own page, and the first two have a Why It Works button that shows the similar triangles behind the rule, one step a click. In the Product Lab your child drags the crossing point anywhere inside or outside the circle and turns the two lines, and the two products stay equal every time. A student who has seen why the rule works finds it much easier to remember in the exam.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eUse this if:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eYour child is sitting Edexcel IGCSE Maths Higher (4MA1) and has not been taught intersecting chords yet\u003c\/li\u003e\n\u003cli\u003eYour child is confident with GCSE Higher content and needs the extra IGCSE topics on top\u003c\/li\u003e\n\u003cli\u003eYour child knows the rule for chords inside the circle but gets stuck when the lines meet outside it or one of them is a tangent\u003c\/li\u003e\n\u003cli\u003eYou want a resource your child can check their own work with, not one more thing on your to-do list\u003c\/li\u003e\n\u003c\/ul\u003e\n\n\u003cp\u003eBuilt by an \u003cstrong\u003eexperienced maths teacher\u003c\/strong\u003e with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eBetter value as a bundle.\u003c\/strong\u003e This lesson is one of 4 in the \u003ca href=\"https:\/\/shlc-tutor.co.uk\/products\/igcse-higher-maths-extra-topics-bundle\"\u003eIGCSE Higher Maths: The Extra Topics Bundle\u003c\/a\u003e, all 4 for £21.99 instead of £31.96 bought separately.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eFormat:\u003c\/strong\u003e Interactive digital lesson, link sent by email straight after purchase.\u003cbr\u003e\u003cstrong\u003eSuitable for:\u003c\/strong\u003e Year 10 and Year 11, IGCSE Higher (Edexcel 4MA1).\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eRefunds:\u003c\/strong\u003e this is a digital product delivered instantly, so it cannot be returned or refunded once the link has been opened. If you have any trouble getting in, email \u003ca href=\"mailto:info@shlc-tutor.co.uk\"\u003einfo@shlc-tutor.co.uk\u003c\/a\u003e and we will sort it out.\u003c\/p\u003e\n","brand":"School House Learning Centre","offers":[{"title":"Default Title","offer_id":54097746755850,"sku":null,"price":7.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0732\/7091\/9434\/files\/intersecting-chords-igcse-higher-interactive-lesson-v2.png?v=1794350158","url":"https:\/\/shlc-tutor.co.uk\/products\/intersecting-chords-worksheet","provider":"SHLC Tutors","version":"1.0","type":"link"}