Geometry Connections is the second in a five-year sequence of college preparatory mathematics courses. It emphasizes several big ideas in an integrated algebra/geometry context. The key concepts addressed in this course are:
- Transformations (reflection, rotation, translation, dilation) and symmetry
- Relationships between figures (such as similarity and congruence)
- Properties of plane figures (such as equal or perpendicular sides or diagonals)
- Measurements of plane figures (such as area, perimeter, and angle measure)
- Measurements of three-dimensional shapes (such as volume and surface area)
- Tools for analyzing and measuring shapes (such as the Pythagorean Theorem, trigonometric ratios, the Laws of Sines and Cosines, and coordinate geometry)
- Investigation and proof (having found patterns, students conjecture and prove)
- Geometric construction (with compass and straightedge)
- Algebra (with substantial review of writing and solving equations and graphing)
This course contains several content threads that extend through multiple chapters and help to highlight connections between ideas. Chapter 1 begins with five big problems that motivate students and anticipate major themes of the course: shape, transformations, measurement, patterns and reasoning, and symmetry. Chapter 2 then focuses on measurement of and relationships between parts of shapes. The chapter addresses angle relationships, area and perimeter, and the Pythagorean Theorem. Read More...
Chapters are divided into sections that are organized around core topics. Within each section, lessons include activities, challenging problems, investigations, and practice problems. Teacher notes for each lesson include a “suggested lesson activity” section with ideas for lesson introduction, specific tips and strategies for lesson implementation to clearly convey core ideas, and a means for bringing the lesson to closure. Read More...
GOALS FOR STUDENTS
Upon completing this geometry course, students should be able to:
- pose mathematical questions, such as “What if…?,” meaningfully and appropriately. Read More...