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Euls university High school dept. Mr. Gelmo Geometry. Students must…. Understand and apply basic principles in geometry. Appreciate math in the context of geometry Be able to connect the lesson to real life situations. 1 st Grading. Proofs Introduction Inferring new statements - PowerPoint PPT Presentation
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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
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.