# COURSE OVERVIEW - Get Now DOC

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"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 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.

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