Description

Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving. It is an opportunity to develop mathematical reasoning, critical thinking skills, and problem solving techniques to investigate and explore geometry.

Topics include:

• Deductive and inductive reasoning
• Direct and indirect proof
• Parallel lines and planes
• Congruence and similarity
• Polygons
• Perimeter, area, and volume
• Right triangles
• Circles
• Coordinate geometry
• Transformations and symmetry
• Constructions and Loci

Study materials (e-books, Discovery Education, etc. ...) for FLVS Global courses are INCLUDED in the price of the course.

Course Structure

Study Scope and Sequence

Segment One

Module 01 - Geometry Foundations

• Introduction to Geometry Foundations
• Basics of Geometry
• Basic Constructions
• Honors Segment One Activity Part A
• Geometry Foundations Discussion-Based Assessment
• Logical Reasoning
• Introduction to Proofs
• Line and Angle Proofs
• Geometry Foundations Review and Practice Test
• Geometry Foundations Test Part One and Part Two

Module 02 - Transformations and Congruence

• Introduction to Transformations and Congruence
• Translations and Reflections
• Rotations
• Rigid Motion and Congruence
• Triangle Proofs
• More Triangle Proofs
• Quadrilateral Proofs
• Honors Segment One Activity Part B
• Transformations and Congruence Review and Practice Test
• Transformations and Congruence Discussion-Based Assessment
• Transformations and Congruence Test Part One and Part Two

Module 03 - Dilations and Similarity

• Introduction to Dilations and Similarity
• Dilations
• Similarity
• Triangles and Similarity
• Honors Segment One Activity Part C
• Triangle Congruence and Similarity
• Applications of Congruence and Similarity
• Dilations and Similarity Discussion-Based Assessment
• Dilations and Similarity Test
• Segment One Practice Exam
• Segment One Exam Part One and Part Two

Segment Two

Module 04 - Coordinate Geometry

• Introduction to Coordinate Geometry
• Using the Coordinates
• Slope
• Coordinate Applications
• Coordinate Geometry Review and Practice Test
• Coordinate Geometry Discussion-Based Assessment
• Coordinate Geometry Test Part One and Part Two

Module 05 - Right Triangles and Trigonometry

• Introduction to Right Triangles and Trigonometry
• Special Right Triangles
• Solving Right Triangles
• Trigonometric Ratios
• Applying Trigonometric Ratios
• Honors Segment Two Activity Part A
• Right Triangles and Trigonometry Review and Practice Test
• Right Triangles and Trigonometry Discussion-Based Assessment
• Right Triangles and Trigonometry Test Part One and Part Two

Module 06 - Volume and Figures

• Introduction to Volume and Figures
• Formulas
• Applications of Volume
• Density
• Three-Dimensional Figures
• Volume and Figures Activity
• Volume and Figures Review and Practice Test
• Volume and Figures Test Part One and Part Two

Module 07 - Circles

• Introduction to Circles
• Properties of a Circle
• Inscribed and Circumscribed Circles
• Applications of Circles
• Honors Segment Two Activity Part B
• Circles Discussion-Based Assessment
• Circles Test
• Segment Two Practice Exam
• Segment Two Exam Part One and Part Two
• Exam Prep

Course syllabus

Syllabus Geometry

• Syllabus Geometry

Materials required

For this course you need to secure the following textbook and materials (if lab kit is listed, check first the possibility of using your school lab prior to buying the lab kit):

Price

course fee: 567,- EUR / 13 500,- Kč