Welcome to Mr. Sullivan's Geometry Class
What is geometry? The word "geometry" is derived from the Greek language. "Geo" means earth and "metria" means measure.
For the purpose of this course geometry is the study of size, shape, and position of two-dimensional shapes and three-dimensional figures.
What will we study in this class? The content emphasis of the class is the geometry content strand of the Common Core State Standards Initiative (http://www.corestandards.org/the-standards/mathematics).
An overview of the content of the course is shown below.
For the purpose of this course geometry is the study of size, shape, and position of two-dimensional shapes and three-dimensional figures.
What will we study in this class? The content emphasis of the class is the geometry content strand of the Common Core State Standards Initiative (http://www.corestandards.org/the-standards/mathematics).
An overview of the content of the course is shown below.
- Congruence
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometry theorems
- Make geometric constructions
- Similarity, Right Triangles and Trigonometry
- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Apply trigonometry to general triangles
- Circles
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
- Expressing Geometric Properties with Equations
- Translate between the geometric description and the equation for conic sections.
- Use coordinates to prove simple geometric theorems algebraically
- Geometric Measurement and Dimension
- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional objects
- Modeling with Geometry
- Apply geometric concepts in modeling situations
- Mathematical Practices
- Make sense of problems and persevere in solving them
- Reason abstractly and quantitatively
- Construct viable arguments and critique the reasoning of others
- Model with mathematics
- Use appropriate tools strategically
- Attend to precision
- Look for and make use of structures
- Look for and express regularity in repeated
reasoning