Download Geometry - Wappingers Central School District

GEOMETRY – HONORS
Code: M481 Full Year (9,10) (1 credit) (rank weight 1.04)
Prerequisite: Algebra Honors
(rank weight 1.04)
Recommendation: at least 85% final average in Algebra Honors or 90% average in Algebra with
teacher recommendation.
Note: Geometry students will take the NYS Geometry Regents Examination in June. This
regents exam will be the final examination for the course.
Areas of Study Include:
 Reasoning & Logic
- Inductive Reasoning
- Conditionals, Equivalence Relations, & Biconditionals
- Deductive Reasoning
- Postulates & Properties
- Direct Proofs
 Essentials of Geometry
- Undefined Terms
- Lines & Segments
- Midpoint & Distance
- Angles
- Direct Proofs
- Pairs of Angles
- Classify Polygons
- Perimeter, Circumference, Area
 Locus
- Locus
- Fundamental Loci
- Coordinate Locus
- Compound Loci
 Constructions
- Basic Constructions
- Applications
 Parallel & Perpendicular Lines, Proofs, and Equations of Circles
- Slope, Parallel, Perpendicular
- Graphing/Writing Linear Equations
- Proofs (Coordinate)
- Areas
- Center-Radius Form
- Graphing Circles
- Quadratic-Linear System
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Parallel & Perpendicular Proofs
Triangle Proofs
- Triangle Proofs
- Exterior Angles of Triangles
- SSS
- SAS/HL
- ASA/AAS
- Triangle Segments
- CPCTC
- Isosceles & Equilateral
- Congruent Triangles
- Overlapping Triangles
- Triangle Similarity
- Right Triangle Proportions
- Pythagorean Theorem
- Triangle Inequalities
Quadrilaterals
- Interior/Exterior Angles of Polygons
- Quadrilateral
- Parallelogram
- Rectangle, Rhombus, Square
- Trapezoid
Transformations
- Line Reflections/Symmetry
- Point Reflections/Symmetry
- Translations
- Rotations
- Dilations
- Transformations as Functions
- Compositions/Symmetries
- Isometries
- Special Compositions
Surface Area & Volume
- Three Dimensional Geometry
- Prisms
- Equal Volumes/Equal Areas
- Volumes
- Pyramids
- Cylinders
- Cones
- Sphere
Circles
- Arcs & Angles
- Arcs & Chords
- Inscribed Angles
- Tangents and Secants
- Angles of Tangents, Secants, Chords
- Segment Measures
- Review
Assessment: Students will take a district-wide exam near the end of the 2nd quarter and the NYS
Geometry Regents Examination in June. This Regents exam will be the final exam for the
course.
For the complete NYS Core Curriculum for Geometry, see page 100 of
http://www.emsc.nysed.gov/3-8/MathCore.pdf
Textbook: Geometry, published by McDougal Littell/Houghton Mifflin, © 2008