MTH 076 Applied Geometry

Lecture Hours: 1
Credits: 1

Presents basic concepts of perimeter, circumference, arc length, central and inscribed angles, areas of polygons, areas of circles and sectors, surface area of solids, and volumes of various solids. Includes applied problems involving these figures. Offers an individualized course that may be started and completed any time during the term.

Student Learning Outcomes:

Use mathematical problem-solving techniques involving circles, geometric solids, composite geometric plane figures and composite geometric solids. Techniques include the use of diagrams along with symbolic, narrative, tabular and graphical representations.
Create mathematical models of abstract and real-world situations using circles, geometric solids, composite geometric plane figures and composite geometric solids.
Use inductive reasoning to develop mathematical conjectures involving circles, geometric solids, composite geometric plane figures and composite geometric solids. Use deductive reasoning to verify and apply mathematical arguments involving these geometric concepts.
Make mathematical connections to, and solve problems from, other disciplines involving circles, geometric solids, composite geometric plane figures and composite geometric solids.
Use oral and written skills to communicate about circles, geometric solids, composite geometric plane figures and composite geometric solids.
Use appropriate tools and technology to enhance mathematical thinking and understanding and to solve mathematical problems involving circles, geometric solids, composite geometric plane figures and composite geometric solids and judge the reasonableness of the results.

Content Outline

Circles
- Definitions and properties
- Circumference and area
- Arc length and sector area
- Applications
Geometric Solids
- Volume
- Surface area
- Units of measure and dimensional analysis
- Applications
Composite Plane Figures
- Perimeter
- Area
- Applications
Composite Geometric Solids
- Volume
- Surface area
- Applications