| (A) use trigonometric ratios and functions available
through technology to model periodic behavior in art and music;
(B) use similarity, geometric transformations, symmetry,
and perspective drawings to describe mathematical patterns and structure
in art and photography;
(C) use geometric transformations, proportions, and
periodic motion to describe mathematical patterns and structure in
music; and
(D) use scale factors with two-dimensional and three-dimensional
objects to demonstrate proportional and non-proportional changes in
surface area and volume as applied to fields.
(8) Mathematical modeling in social sciences. The student
applies mathematical processes to determine the number of elements
in a finite sample space and compute the probability of an event.
The student is expected to:
(A) determine the number of ways an event may occur
using combinations, permutations, and the Fundamental Counting Principle;
(B) compare theoretical to empirical probability; and
(C) use experiments to determine the reasonableness
of a theoretical model such as binomial or geometric.
(9) Mathematical modeling in social sciences. The student
applies mathematical processes and mathematical models to analyze
data as it applies to social sciences. The student is expected to:
(A) interpret information from various graphs, including
line graphs, bar graphs, circle graphs, histograms, scatterplots,
dot plots, stem-and-leaf plots, and box and whisker plots, to draw
conclusions from the data and determine the strengths and weaknesses
of conclusions;
(B) analyze numerical data using measures of central
tendency (mean, median, and mode) and variability (range, interquartile
range or IQR, and standard deviation) in order to make inferences
with normal distributions;
(C) distinguish the purposes and differences among
types of research, including surveys, experiments, and observational
studies;
(D) use data from a sample to estimate population mean
or population proportion;
(E) analyze marketing claims based on graphs and statistics
from electronic and print media and justify the validity of stated
or implied conclusions; and
(F) use regression methods available through technology
to model linear and exponential functions, interpret correlations,
and make predictions.
(10) Mathematical modeling in social sciences. The
student applies mathematical processes to design a study and use graphical,
numerical, and analytical techniques to communicate the results of
the study. The student is expected to:
(A) formulate a meaningful question, determine the
data needed to answer the question, gather the appropriate data, analyze
the data, and draw reasonable conclusions; and
(B) communicate methods used, analyses conducted, and
conclusions drawn for a data-analysis project through the use of one
or more of the following: a written report, a visual display, an oral
report, or a multi-media presentation.
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