Page 41 - ADVANCED MATH F.5

Form Five Form Five

Coordinate geometry I

FOR ONLINE READING ONLY

Introduction
In this chapter, students will learn about the angle between two
lines, perpendicular distance of a point from a line, locus of a
moving point, ratio theorem, and circle. Guide students to recognize
methods of calculating the angle between two lines, perpendicular
distance of a point from a line, locus of a moving point, ratio theorem,
and circle. The competencies developed will enable them to solve
problems in the fields of trigonometry, calculus, and dimensional
geometry. Also, in real life, coordinate geometry is used in space
activities such as location of air transport, map projection,
describing the position of objects, and in many other applications.

Students’ activities
(a) Finding expression for an angle between two lines
(b) Identifying perpendicular distance
(c) Describing the locus of a moving point
(d) Proving the ratio theorem

(e) Deriving general equations of a circle

Teaching and learning resources
Geometrical figures, marker pens, ruler, mathematical sets, scientific
calculators, Mathematical software such as Maple, GeoGebra,
MATLAB, AI tools, Symbolab, manila cards, pair of scissors, rubber
band, flip charts, pencils, masking tapes, glue, straws, geo-boards,
graph papers, mathematical instuments, and colored chalks.

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Mathematics for Advanced Secondary Schools

30/06/2024 18:01:50
ADVANCED MATH F.5 TG CHAPTERS.indd 35
ADVANCED MATH F.5 TG CHAPTERS.indd 35 30/06/2024 18:01:50