Geometry is an in-depth analysis of plane, solid, and coordinate geometry and they relate to both abstract mathematical concepts and real-world problem situations. This course is a logical development of the inductive and deductive systems of reasoning. Emphasis is on developing visualization abilities, analytical skills, and logical reasoning. Continual development and review of algebraic skills are part of this course. Various instructional techniques will be utilized through activity-based
methods. The use of manipulatives, mathematical tools, and technology is an integral part of this class. This course meets the Minnesota K-12 Academic Standards in Mathematics.
It is the goal that at the end of this course students will:
• Develop and strengthen algebraic skills and competence in basic computation skills.
• Build critical thinking skills.
• Connect geometry to the real world.
• Use technology to explain the real world.
• Further develop the processes of orderly thought, deductive and inductive thinking.
• Comprehend the value of accuracy and neatness in problem solving.
• Recognize the geometric nature of many shapes and structures, both man-made and natural.
• Use transformations to move figures, create designs, and/or demonstrate geometric properties.
• Construct, draw, and validate properties of geometric figures using appropriate mathematical tools and technology.
• Gain an appreciation and understanding of historical mathematics roots.
Topics to be covered:
1. Tools of Geometry
2. Reasoning and Proof
3. Parallel and Perpendicular Lines
4. Congruent Triangles
5. Relationships Within Triangles
6. Polygons and Quadrilaterals
7. Similarity
8. Right Triangles and Trigonometry
9. Transformations
10.Area
11. Surface Area and Volume
12.Circles
