# Geometry, Semester B

• Date created

June 29, 2020

• Last updated

June 29, 2020

# Course Overview

Geometry is a branch of mathematics that uses logic and formal thinking to establish
mathematical relationships between points, lines, surfaces, and solids. In Geometry B,
you will review the volume formulas for some common solid figures as you extend your
knowledge of two-dimensional shapes to three-dimensional shapes. You will also
transition from primarily Euclidean geometry to analytical geometry—a segment of
geometry focused on numerical measurements and coordinate algebra. You will use
analytical geometry and observations to investigate the properties of circles and
constructions related to circles. Geometry B closes with a study of independent and
conditional probability and how you can use probability models to represent situations
arising in everyday life.

# Course Goals

By the end of this course, you will be able to do the following:
Explain volume formulas and use them to solve problems.
Explain relationships between two-dimensional and three-dimensional objects.
Translate between the geometric description and the equation for a conic section.
Use coordinates to prove simple geometric theorems algebraically.
Find arc lengths and areas of sectors of circles.
Apply geometric concepts in modeling situations.
Use independence and conditional probability to interpret data.
Use the rules of probability to compute probabilities of compound events in a uniform
probability model.
Use probability to evaluate outcomes of decisions.

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## Dolphin STEM

Inspiring passions in STEM.  Educating a new generation.