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Seminar on the Secondary Mathematics Curriculum at Key Stage 4 CHIANG Kin-nam February 2004
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Loci and Equations Comparison between Old and New syllabi in treating this topic
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Syllabus for Mathematics (Forms I-V) CDC 1985 Content 1. Establishing the concept of locus 2. Construction of loci within a plane 3. Equation of a circle 4. Intersection of a straight line and a circle
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Syllabuses For Secondary Schools Mathematics Secondary 1-5 Content 1. Qualitative Treatment of Locus 2. Coordinate Treatment of Simple Locus Problems (Straight lines and Circles)
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Teaching Emphasis CDC 1985 Teachers are advised to use practical ways in helping students to establish the concept of locus. This is mentioned in the notes on teaching. Construction of loci As a basis for studying simple conics
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Teaching Emphasis Mathematics Sec. 1-5 (1999) Intuitive understanding of loci through exploring, sketching, visualizing and describing in words the locus of points moving under a condition or conditions Formally describe loci with equations by using the idea of slope and distance between two points. ( Coordinate treatment )
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Teaching Strategies Provide students with plenty of examples to work on. Students find out that the path traced out by a moving point could be a straight line, a circle etc., Cooperative Learning Strategy Use of IT provides a dynamic and interactive way for students in learning this topic.
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Some suggestions I I II II
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