Geometry – Honors



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

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

Textbook: Geometry, published by McDougal Littell/Houghton Mifflin, © 2008

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