Download Geometry - Hardeman County Schools

Geometry Syllabus
Geometry is a full year course that expands and accelerates all objectives in the Tennessee State
Standards for Geometry. Students in the course are expected to be diligent and are to complete all
assignments of the topics covered which will be aligned with the standards of the course. If there is
sufficient time, projects may be given and field trips may be taken to aid and reinforce students in
understanding and applying key concepts presented in this course.
Course Outline:
Unit One – Tools of Geometry
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Points, Lines, Planes
Linear Measure
Distance and Midpoints
Angle Measurement
Angle Relationships
Two-Dimensional Figures
Three-Dimensional Figures
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Inductive Reasoning and Conjecture
Logic
Conditional Statements
Deductive Reasoning
Postulates and Paragraph Proofs
Algebraic Proof
Proving Segment Relationships
Proving Angle Relationships
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Parallel Lines and Transversals
Angles and Parallel Lines
Slopes of Lines
Equations of Lines
Proving Lines Parallel
Perpendiculars and Distance
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Classifying Triangles
Unit Two – Reasoning and Proof
Unit Three – Parallel and Perpendicular Lines
Unit Four – Congruent Triangles
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Angles of Triangles
Congruent Triangles
Proving Triangles Congruent
Isosceles and Equilateral Triangles
Congruent Transformations
Triangles and Coordinate Proof
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Bisectors of Triangles
Medians and Altitudes of Triangles
Inequalities in One Triangle
Indirect Proof
The Triangle Inequality
Inequalities in Two Triangles
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Angles of Polygons
Parallelograms
Tests for Parallelograms
Rectangles, Rhombi, Squares, Trapezoids and Kites
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Ratios and Proportions
Similar Polygons
Similar Triangles
Parallel Lines and Proportional Parts
Parts of Similar Triangles
Similarity Transformations
Scale Drawings and Models
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Geometric Mean
The Pythagorean Theorem and Its Converse
Special Right Triangles
Trigonometry
Angels of Elevation and Depression
The Law of Sines and Law of Cosines
Vectors
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Reflections
Translations
Unit Five – Relationships in Triangles
Unit Six – Quadrilaterals
Unit Seven – Proportions and Similarity
Unit Eight – Right Triangles and Trigonometry
Unit Nine – Transformation and Symmetry
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Rotations
Compositions of Transformations
Symmetry
Dilations
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Circles and Circumference
Measuring Angles and Arcs
Arcs and Chords
Inscribed Angles
Secants, Tangents, and Angle Measures
Special Segments in a Circle
Equations of Circles
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Areas of Parallelograms and Triangles, Trapezoids, Rhombi and Kites
Areas of Circles and Sectors
Areas of Regular Polygons and Composite Figures
Areas of Similar Figures
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Representations of Three- Dimensional Figures
Surface Areas of Prisms and Cylinders, Pyramids and Cones
Volumes of Prisms and Cylinders, Pyramids and Cones
Surface Areas and Volumes of Spheres
Spherical Geometry
Congruent and Similar Solids
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Representing Sample Spaces
Probability with Permutations and Combinations
Geometric Probability
Simulations
Probabilities of Independent and Dependent Events
Probabilities of Mutually Exclusive Events
Unit Ten – Circles
Unit Eleven – Areas of Polygons and Circles
Unit Twelve – Extending Surface Area and Volume
Unit Thirteen – Probability and Measurement