-
Analyze logical arguments
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
identify logical fallacies in popular arguments
recognize arguments as inductive or deductive
identify inconsistencies in statistical arguments
test conditions and/or reasonableness of assumptions
-
Employ counting principles
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
apply the multiplication principle to determine the number of outcomes
determine the size of intersections, unions, and complements of sets
apply rules of counting in solving applied contexts
-
Utilize probability models and rules
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
distinguish between theoretical and empirical probability
compute probability using the basic definition
compute the probability of joint and disjoint events
compute conditional probabilities
determine if two events are independent
-
Employ descriptive statistics
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
generate frequency distributions from a given data set
calculate the mean, median, and mode of a distribution
interpret the mean, median, and mode as measures of central tendency
calculate quartile and percentile ranks as measures of position
calculate range, standard deviation, and interquartile range as measures of spread for a distribution
interpret outliers
use measures of central tendency and spread to compare and contrast two distributions
construct a modified box-and-whisker plot to summarize comparisons
use the language of probability to describe and evaluate statements involving risk
-
Apply inferential statistics
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
evaluate sampling strategies
determine sources of bias
describe the difference between correlation and causation
identify confounding variables
interpret a confidence interval in applied contexts
interpret a confidence interval to estimate a population parameter
interpret the error term for a confidence interval
-
Apply non-linear mathematical models
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
identify appropriate models for given data sets and applications
construct a non-linear model to fit source data
identify reasonable domain and range for a non-linear model
employ solution techniques to solve for an unknown value in the non-linear function model
utilize solutions to interpret results in an applied context
identify important characteristics of models
-
Develop graphical representations
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
plot points to construct the graph of a given equation
evaluate graphs in an applied context
construct pie charts, bar graphs, and line graphs
construct appropriate charts or graphs for specific scenarios
utilize function tables
employ calculators, spreadsheets, or other technological tools for construction of various graphs
construct scatterplots of bivariate data
-
Apply principles of measurement
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
use appropriate units
convert units as needed
round values appropriately in an applied context
-
Apply linear mathematical models
Assessment Strategies
Oral, Written or Graphic Assessment
Criteria
construct a linear model to fit source data
identify reasonable domain and range for a linear model
compute the slope and intercept
interpret the slope and intercept in an applied context
employ solution techniques to solve for an unknown value in the linear functional model
utilize solutions to interpret results in an applied context