**Geometry Connections**

*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)
- Probability

**COURSE OUTLINE**

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...

**COURSE STRUCTURE**

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...