Course Objectives:

1.         Solve problems in elementary probability and statistics
2.         Use geometric principles and definitions
3.         Apply the concepts of plane geometry in construction, and similarity
4.         Solve problems involving the Pythagorean theorem
5.         Use the metric and English systems and solve problems involving area and volume
6.         Identify and construct geometric transformations
 

Topical Outline:

1.         Determine the empirical probability and theoretical probability of an event.
2.         Determine the odds and expected value of an event.
3.         Use methods of counting to determine the number of possible outcomes for various situations.
4.         Interpret and present data in plots, graphs, and tables.
5.         Find and interpret measures of central tendency
6.         Find and interpret measures of dispersion.
7.         Know basic geometric notions for points, lines, and planes.
8.         Know basic geometric notions for plane figures.
9.         Determine linear measure and distance in the English system and metric system.
10.       Know and use theorems involving angles.
11.       Know and use concepts of three-dimensional figures.
12.       Demonstrate the concepts of similarity and congruence through construction.      
13.       Know and use congruence properties.
14.       Answer questions involving similar triangles, figures, and coordinates.
15.       Determine the area of polygons and circles in the English system and metric system.
16.       Know and use the Pythagorean theorem and distance formula.
17.       Determine the surface area and volume of three-dimensional figures in the English system and metric system.
18.       Perform and determine motions in the plane that are isometries and/or size transformations.
19.       Perform and determine line, rotational, point, and/or plane symmetries.
20.       Use the Cartesian coordinate system to study geometry using algebra and interpret algebraic phenomena geometrically.