"COURSE OVERVIEW - Get Now DOC"
Competitive Geometry pre-IB Syllabus We will cover the Pre-IB Geometry Syllabus in an accelerated fashion. In addition the Competitive Geometry Syllabus will incorporate Conics, Algebra II problems and supplementary Trigonometric topics. COURSE OVERVIEW Geometry: The study of lines, angles and plane figures such as triangles, circles, and quadrilaterals. A main purpose to the study of geometry is the development of reasoning ability. A student is taught to write formal proofs and to apply formulas involving perimeters, areas, volumes, and surface areas. Basic principles of two and three dimensional figures, algebraic skills, and coordinate geometry (including Conics) will be used in problem-solving situations. Algebraic concepts such as factoring and two-variable equations are applied to geometric situations. Trigonometry and Vectors. Specific topics are listed below. COURSE OBJECTIVES Students will acquire and demonstrate knowledge of concepts, definitions, properties, and applications of the topics listed above as well as develop the computational skills and strategies needed to solve problems. Students will develop critical thinking and decision making skills by connecting concepts to practical applications. COURSE OUTLINE Presentation of material will not always be sequential with the book. The curriculum map for the Geometry course is available on-line at http://www.volusia.k12.fl.us/curriculum. Semester 1 Chapter 1: Points, Lines and Planes; Angle Pair Relationships; Perimeter, Circumference and Area Chapter 2: Conditional and Biconditional Statements; Deductive Reasoning; Reasoning in Algebra and Geometry; Proving Angles Congruent. Chapter 3: Lines and Angles; Proofs; Parallel and Perpendicular Lines Chapter 8 (Sections 1 and 2): Similar Right Triangles; Pythagorean Theorem; Special Right Triangles Chapter 5: Perpendiculars and Bisectors; Medians and Altitudes of a Triangle; Midsegment Theorem; Inequalities in One Triangle; Indirect Proof Chapter 4: Triangles and Angles; Proving Triangles Congruent; Types of Triangles Chapter 7: Ratio and Proportion; Similar Polygons; Proving Triangles are Similar Chapter 6: Polygons; Proving Quadrilaterals are Parallelograms; Special Quadrilaterals; Areas of Triangles and Quadrilaterals Chapter 10: Areas of Regular Polygons; Perimeters and Areas of Similar Figures; Circumference and Arc Length, Areas of Circles and Sectors Chapter 9: Translations; Reflections; Rotations; Symmetry Chapter 11: Surface Area and Volume of Prisms, Cylinders, Cones, Pyramids, and Spheres Chapter 12: Circle Relationships; Segment Lengths in Circles; Equations of Circles. Semester 2 Conics; Trigonometric Ratios; Solving Right Triangles, Vectors; Trigonometric Functions; Laws of Cosines and Sines; Radian Measure; Graphs of the Sine, Cosine and Tangent functions; Trigonometric Identities and Equations Using Trigonometric Functions; Sum and Difference Formulas.