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Appreciate math in the context of geometry
Be able to connect the lesson to real life situations
Understand and apply basic principles in geometry
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Reasoning◦ Introduction◦ Kinds◦ Deductive structure
Points, lines and planes◦ Introduction◦ Points on a line◦ Convex sets and
separations
Proofs◦ Introduction◦ Inferring new
statements◦ Proving theorems
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Angles◦ Angles and
separation◦ Logical foundations
for angular measure Triangle and
triangle congruence◦ Kinds of triangles◦ Conditions for
congruence
Inequalities◦ A brief Review of
Algebraic inequalities
◦ Inequalities among measurements
◦ Relations between sides and angles of a triangle
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Indirect proofs and parallelism
◦ Contradiction and exhaustive proof
◦ Elimination◦ Parallelism◦ transversals
Proportionality and triangle similarity◦ Ratios and
proportions◦ Similarity of triangles◦ Proving two triangles
similar◦ Applications of a right
triangle◦ Pythagorean theorem
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Quadrilaterals
◦ Kinds of quadrilaterals
◦ Parallelograms
◦ Special parallelograms
◦ Ways of proving that a quadrilateral is a
parallelogram
◦ Trapezoid
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Circles◦ Chords and
Diameters◦ Angles and arcs
inscribed in a circle◦ Tangents and
secants◦ sphere
Perimeters, areas and volumes◦ 3D and 2D shapes
Introduction to analytic geometry◦ Cartesian plane◦ Distance between 2
points◦ Slope & equation of
a line
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If we give a value for effort we substitute
A=1 B=2 C=3 D=4 E=5 F=6 G=7 H=8
I=9………. Then ATTITUDE to things
totals to a hundred percent effort
-EJ Gelmo-
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Plane Geometry for Philippine High schools(Roberto Natividad Padua,Ph.D., Estela Galiciano-Adanza,Ph.d., Corazon Beredo Alano, M.A.T.