This class, filled with enrichment material from an actual college class, will focus on the manipulation & understanding of statistics, probabilities, and much more in-depth concepts that one will need in their Liberal Arts profession.
What you will learn:
Using set notation to write sets in both roster and set-builder notation.
Finding complements, unions, intersections, subsets.
Finding the cardinality of sets.
Drawing and applying Venn diagrams.
Analyzing/Identifying negations, disjunctions, conjunctions, and various forms of conditional
Creating truth tables for statements.
Identifying equivalent statements.
Using De-Morgan’s Law.
Identifying the validity of arguments, using symbolic logic and/or Euler circles.
The student will demonstrate knowledge of combinatorics by:
Using the Multiplication Rule (or Fundamental Counting Principle) to solve applications
Using Combinations and Permutation to solve applications.
The student will demonstrate knowledge of probability theory by:
Describing a sample space and an event.
Calculating probabilities of simple, compound, and conditional events.
Distinguishing between sampling methods.
Interpreting data presented in graphs, charts, and tables, as well as relationships between data sets.
Calculating and understand relationships between measures of central tendency.
Calculating the variance and standard deviations of a sample.
Using the empirical rule and normal curve to solve applications.
Rounding measurements; convert and determine appropriate units of measure.
Computing perimeters, areas and volumes of various plane and solid figures.
Distinguishing between the various characteristics of quadrilaterals.
Calculating angles in diagrams involving parallel lines.
Classifying different types of triangles make angle computations; apply the Pythagorean Theorem and
Similar Triangles Theorem.
