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Euls university High school dept. Mr. Gelmo Geometry

This geometry course covers foundational principles, real-life applications, proofs, angles, triangles, quadrilaterals, perimeters, areas, and volumes. Students will develop reasoning skills and connect concepts to practical situations.

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Euls university High school dept. Mr. Gelmo Geometry

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  1. Euls universityHigh school dept.Mr. GelmoGeometry

  2. 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

  3. 1st Grading • Proofs • Introduction • Inferring new statements • Proving theorems • Reasoning • Introduction • Kinds • Deductive structure • Points, lines and planes • Introduction • Points on a line • Convex sets and separations

  4. 2nd Grading • Inequalities • A brief Review of Algebraic inequalities • Inequalities among measurements • Relations between sides and angles of a triangle • Angles • Angles and separation • Logical foundations for angular measure • Triangle and triangle congruence • Kinds of triangles • Conditions for congruence

  5. 3rd grading • Proportionality and triangle similarity • Ratios and proportions • Similarity of triangles • Proving two triangles similar • Applications of a right triangle • Pythagorean theorem • Indirect proofs and parallelism • Contradiction and exhaustive proof • Elimination • Parallelism • transversals

  6. 3rd grading • Quadrilaterals • Kinds of quadrilaterals • Parallelograms • Special parallelograms • Ways of proving that a quadrilateral is a parallelogram • Trapezoid

  7. 4th Grading • Perimeters, areas and volumes • 3D and 2D shapes • Introduction to analytic geometry • Cartesian plane • Distance between 2 points • Slope & equation of a line • Circles • Chords and Diameters • Angles and arcs inscribed in a circle • Tangents and secants • sphere

  8. 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-

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

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