Appreciate math in the context of geometry

Be able to connect the lesson to real life situations

Understand and apply basic principles in geometry

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

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

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

Quadrilaterals

◦ Kinds of quadrilaterals

◦ Parallelograms

◦ Special parallelograms

◦ Ways of proving that a quadrilateral is a

parallelogram

◦ Trapezoid

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

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-

Plane Geometry for Philippine High schools(Roberto Natividad Padua,Ph.D., Estela Galiciano-Adanza,Ph.d., Corazon Beredo Alano, M.A.T.