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Geometry COURSE DESCRIPTION

This Geometry course covers over 100 topics from points & lines to 2D & 3D shapes. Whether you are getting ahead of the curriculum, aiming for better grades, or preparing for the next level with deeper understanding of the concepts, this class will give you a solid foundations needed to succeed in school as the fundamental and important concepts will be taught in great details. Designed for all levels of learners from remedial to the advanced. ($60 material fee is due on the first day of class).

Homework: A page corresponds to each chapter lesson will be assigned.

Tests: Chapter test after each chapter and exams at the end of course.

Content

Chapter 1 - Points, Lines, Planes, and Angles
Lesson 1 - Points, Lines, and Planes
Lesson 2 - Linear Measure and Precision
Lesson 3 - Distance and Midpoints
Lesson 4 - Angle Measure
Lesson 5 - Angle Relationships
Lesson 6 - Polygons

Chapter 2 - Reasoning and Proof
Lesson 1 - Inductive Reasoning and Conjecture
Lesson 2 - Logic
Lesson 3 - Conditional Statements
Lesson 4 - Deductive Reasoning
Lesson 5 - Postulates and Paragraph Proofs
Lesson 6 - Algebraic Proof
Lesson 7 - Proving Segment Relationships
Lesson 8 - Proving Angle Relationships

Chapter 3 - Parallel and Perpendicular Lines
Lesson 1 - Parallel Lines and Transversals
Lesson 2 - Angles and Parallel Lines
Lesson 3 - Slopes of Lines
Lesson 4 - Equations of Lines
Lesson 5 - Proving Lines Parallel
Lesson 6 - Perpendiculars and Distance

Chapter 4 - Congruent Triangles
Lesson 1 - Classifying Triangles
Lesson 2 - Angles of Triangles
Lesson 3 - Congruent Triangles
Lesson 4 - Proving Congruence—SSS, SAS
Lesson 5 - Proving Congruence—ASA, AAS
Lesson 6 - Isosceles Triangles
Lesson 7 - Triangles and Coordinate Proof

Chapter 5 - Relationships in Triangles
Lesson 1 - Bisectors, Medians, and Altitudes
Lesson 2 - Inequalities and Triangles
Lesson 3 - Indirect Proof
Lesson 4 - The Triangle Inequality
Lesson 5 - Inequalities Involving Two Triangles

Chapter 6 - Proportions and Similarity
Lesson 1 - Proportions
Lesson 2 - Similar Polygons
Lesson 3 - Similar Triangles
Lesson 4 - Parallel Lines and Proportional Parts
Lesson 5 - Parts of Similar Triangles
Lesson 6 - Fractals and Self-Similarity

Chapter 7 - Right Triangles and Trigonometry
Lesson 1 - Geometric Mean
Lesson 2 - The Pythagorean Theorem and Its Converse
Lesson 3 - Special Right Triangles
Lesson 4 - Trigonometry
Lesson 5 - Angles of Elevation and Depression

Lesson 6 - The Law of Sines
Lesson 7 - The Law of Cosines

Chapter 8 - Quadrilaterals
Lesson 1 - Angles of Polygons
Lesson 2 - Parallelograms
Lesson 3 - Tests for Parallelograms
Lesson 4 - Rectangles
Lesson 5 - Rhombi and Squares
Lesson 6 - Trapezoids
Lesson 7 - Coordinate Proof and Quadrilaterals

Chapter 9 - Transformations
Lesson 1 - Reflections
Lesson 2 - Translations
Lesson 3 - Rotations
Lesson 4 - Tessellations
Lesson 5 - Dilations
Lesson 6 - Vectors
Lesson 7 - Transformations with Matrices

Chapter 10 - Circles
Lesson 1 - Circles and Circumference
Lesson 2 - Angles and Arcs
Lesson 3 - Arcs and Chords
Lesson 4 - Inscribed Angles
Lesson 5 - Tangents
Lesson 6 - Secants, Tangents, and Angle Measures
Lesson 7 - Special Segments in a Circle
Lesson 8 - Equations of Circles

Chapter 11 - Area and Volume
Lesson 1 - Areas of Parallelograms
Lesson 2 - Areas of Triangles, Trapezoids, and Rhombi
Lesson 3 - Areas of Regular Polygons and Circles
Lesson 4 - Areas of Irregular Figures
Lesson 5 - Geometric Probability

Chapter 12 - Surface Area
Lesson 1 - Three-Dimensional Figures
Lesson 2 - Nets and Surface Area
Lesson 3 - Surface Areas of Prisms
Lesson 4 - Surface Areas of Cylinders
Lesson 5 - Surface Areas of Pyramids
Lesson 6 - Surface Areas of Cones
Lesson 7 - Surface Areas of Spheres

Chapter 13 - Volume Lesson 1 - Volumes of Prisms and Cylinders
Lesson 2 - Volumes of Pyramids and Cones
Lesson 3 - Volumes of Spheres
Lesson 4 - Congruent and Similar Solids
Lesson 5 - Coordinates in Space