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Virgin Islands Department of Education |
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V.I. Academic Content Standards |
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Mathematics - Functions, Statistics, & Trigonometry |
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Data Analysis, Probability, Statistics
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FST.DPS.1
The learner will be able to
collect and validate data.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Comprehension |
Master |
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FST.DPS.2
The learner will be able to
model phenomena using techniques of data analysis, including making tables, graphs, and other displays.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Application |
Master |
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FST.DPS.3
The learner will be able to
find measure of centers, use statistical packages, and find variance and standard deviation.
| Strand |
Bloom's |
Scope |
| Probability Distribution |
Application |
Master |
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FST.DPS.4
The learner will be able to
use models to draw conclusions or make predictions.
| Strand |
Bloom's |
Scope |
| Prediction |
Analysis |
Master |
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FST.DPS.5
The learner will be able to
apply counting techniques.
| Strand |
Bloom's |
Scope |
| Counting Methods |
Application |
Master |
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FST.DPS.6
The learner will be able to
use probability and simulation to predict outcomes.
| Strand |
Bloom's |
Scope |
| Prediction |
Analysis |
Master |
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FST.DPS.7
The learner will be able to
apply the fundamental properties of probability to describe events and predict outcomes.
| Strand |
Bloom's |
Scope |
| Prediction |
Analysis |
Master |
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FST.DPS.8
The learner will be able to
apply the addition and subtraction counting principles.
| Strand |
Bloom's |
Scope |
| Counting Methods |
Application |
Master |
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FST.DPS.9
The learner will be able to
find permutations and combinations of independent events.
| Strand |
Bloom's |
Scope |
| Probability |
Application |
Master |
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FST.DPS.10
The learner will be able to
find the probability distributions of sets of random numbers.
| Strand |
Bloom's |
Scope |
| Probability Distribution |
Application |
Master |
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FST.DPS.11
The learner will be able to
represent and analyze relationships using tables, rules, equations, and graphs.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Analysis |
Master |
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FST.DPS.12
The learner will be able to
construct and draw inferences from charts, tables, and graphs that summarize data from real-world situations.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Analysis |
Master |
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FST.DPS.13
The learner will be able to
use curve fitting to predict from data.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Synthesis |
Master |
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FST.DPS.14
The learner will be able to
apply measures of central tendency, variability, and correlations to solve problems and evaluate statistical claims.
| Strand |
Bloom's |
Scope |
| Correlation/Deviation/Variance |
Evaluation |
Master |
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FST.DPS.15
The learner will be able to
design a statistical experiment to study a problem, conduct the experiment and interpret and communicate the outcomes.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Synthesis |
Master |
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FST.DPS.16
The learner will be able to
analyze the effects of data transformations on measures of central tendency and variability.
| Strand |
Bloom's |
Scope |
| Statistics |
Analysis |
Master |
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FST.DPS.17
The learner will be able to
use experimental or theoretical probability to represent and solve problems involving uncertainty.
| Strand |
Bloom's |
Scope |
| Probability |
Application |
Master |
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FST.DPS.18
The learner will be able to
create and interpret discrete probability distributions.
| Strand |
Bloom's |
Scope |
| Probability Distribution |
Analysis |
Master |
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FST.DPS.19
The learner will be able to
describe the normal curve and use its properties to answer questions about sets of data.
| Strand |
Bloom's |
Scope |
| Probability Distribution |
Application |
Master |
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FST.DPS.20
The learner will be able to
gather data and/or discuss and interpret the findings.
| Strand |
Bloom's |
Scope |
| Data Collection and Classification |
Analysis |
Master |
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FST.DPS.21
The learner will be able to
create and/or interpret scatterplots of bivariate data and formulate predictions through the application of the median fit line.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.22
The learner will be able to
create bar graphs to display data.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.23
The learner will be able to
interpret information given in bar graphs.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.24
The learner will be able to
create a box-and-whisker plot.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.25
The learner will be able to
interpret data shown in a box-and-whisker graph.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.26
The learner will be able to
construct circle graphs to illustrate data.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.27
The learner will be able to
interpret data shown in a circle graph.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.28
The learner will be able to
construct line graphs.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.29
The learner will be able to
interpret data shown in a line graph.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.30
The learner will be able to
create pictographs to display data.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.31
The learner will be able to
interpret information given in pictographs.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.32
The learner will be able to
create stem-and-leaf plots.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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FST.DPS.33
The learner will be able to
interpret data shown in a stem-and-leaf graph.
| Strand |
Bloom's |
Scope |
| Graphs |
Analysis |
Master |
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FST.DPS.34
The learner will be able to
explore connections within mathematics, and connections between many different math topics and their applications.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Synthesis |
Master |
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FST.DPS.35
The learner will be able to
suggest and/or evaluate data necessary to obtain problem solutions with a basis in applied or laboratory scenarios.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Evaluation |
Master |
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FST.DPS.36
The learner will be able to
recognize and/or create problems with a basis in applied or laboratory scenarios.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
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FST.DPS.37
The learner will be able to
evaluate the reasonableness of a given solution.
| Strand |
Bloom's |
Scope |
| Estimation |
Evaluation |
Master |
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FST.DPS.38
The learner will be able to
interpret the results of the data analysis coming from an investigation and/or discuss the findings.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Synthesis |
Master |
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FST.DPS.39
The learner will be able to
recognize potential trends in data that may include patterns, clusters, and/or outliers.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Comprehension |
Master |
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FST.DPS.40
The learner will be able to
create and/or interpret a data plot over a time period and apply medians to smooth times series data.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Analysis |
Master |
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FST.DPS.41
The learner will be able to
organize, summarize, and/or characterize information from his or her own environment through the use of tables and descriptive statistics including median, mean, mode, quartiles, percentiles, range, and/or interquartile range.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Evaluation |
Master |
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FST.DPS.42
The learner will be able to
graph experimental data and discuss potential interpretations.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Analysis |
Master |
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FST.DPS.43
The learner will be able to
plan and/or perform experiments and/or identify the aspects of an investigation that affect the results, including sample size and bias.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
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FST.DPS.44
The learner will be able to
apply manipulatives to create random outcomes, data sets from student observation and data collection, and computer generated data to determine experimental probabilities.
| Strand |
Bloom's |
Scope |
| Probability |
Application |
Master |
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FST.DPS.45
The learner will be able to
create sampling distributions through the use of student explorations and simulations.
| Strand |
Bloom's |
Scope |
| Sampling |
Application |
Master |
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FST.DPS.46
The learner will be able to
create and/or interpret 90% box plots for a variety of sample sizes and apply them in summarizing the sampling distribution.
| Strand |
Bloom's |
Scope |
| Sampling |
Analysis |
Master |
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FST.DPS.47
The learner will be able to
note the differences among sampling methods and comprehend the idea of randomness.
| Strand |
Bloom's |
Scope |
| Sampling |
Evaluation |
Master |
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FST.DPS.48
The learner will be able to
create models for simulating certain applied problems and/or apply devices, tables of random numbers, calculators, and/or computers to furnish an approximation to the problem's solution.
| Strand |
Bloom's |
Scope |
| Event Simulation |
Application |
Master |
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FST.DPS.49
The learner will be able to
simulate practical problems where the success probability may be exactly 1/2 or some other value, as well as for scenarios where the number of key components is unknown.
| Strand |
Bloom's |
Scope |
| Event Simulation |
Synthesis |
Master |
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FST.DPS.50
The learner will be able to
create confidence intervals through the comparison of box plots and apply confidence interval approximations to interpret experimental data.
| Strand |
Bloom's |
Scope |
| Statistical Analysis |
Analysis |
Master |
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FST.DPS.51
The learner will be able to
interpret findings from polls and/or surveys that are covered in the media including public opinion polls, Nielsen ratings, U.S. Census, and/or surveys that determine the consumer price index.
| Strand |
Bloom's |
Scope |
| Statistics |
Analysis |
Master |
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FST.DPS.52
The learner will be able to
apply the media in identifying examples that use statistics correctly, as well as to recognize and correct improper uses of statistics.
| Strand |
Bloom's |
Scope |
| Statistics |
Application |
Master |
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FST.DPS.53
The learner will be able to
illustrate the Law of Large Numbers and/or formulate the idea of theoretical probability.
| Strand |
Bloom's |
Scope |
| Theoretical Probability |
Application |
Master |
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FST.DPS.54
The learner will be able to
calculate the probability of complementary events.
| Strand |
Bloom's |
Scope |
| Independent/Dependent/Mutually Exclusive |
Application |
Master |
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FST.DPS.55
The learner will be able to
comprehend the idea of correlation as the measure of the linear association between two variables.
| Strand |
Bloom's |
Scope |
| Correlation/Deviation/Variance |
Comprehension |
Master |
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FST.DPS.56
The learner will be able to
develop a hypothesis.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Synthesis |
Master |
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FST.DPS.57
The learner will be able to
create histograms.
| Strand |
Bloom's |
Scope |
| Frequency |
Synthesis |
Master |
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FST.DPS.58
The learner will be able to
interpret data shown in a histogram.
| Strand |
Bloom's |
Scope |
| Frequency |
Analysis |
Master |
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FST.DPS.59
The learner will be able to
note the differences between independent and dependent events.
| Strand |
Bloom's |
Scope |
| Independent/Dependent/Mutually Exclusive |
Analysis |
Master |
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FST.DPS.60
The learner will be able to
use confidence intervals to test a hypothesis.
| Strand |
Bloom's |
Scope |
| Intervals |
Analysis |
Master |
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FST.DPS.61
The learner will be able to
determine the probabilities of compound events (dependent and independent).
| Strand |
Bloom's |
Scope |
| Probability |
Application |
Master |
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FST.DPS.62
The learner will be able to
identify complementary events.
| Strand |
Bloom's |
Scope |
| Probability |
Knowledge |
Master |
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FST.DPS.63
The learner will be able to
calculate the expected value of random variables in simple contexts.
| Strand |
Bloom's |
Scope |
| Randomness |
Application |
Master |
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FST.DPS.64
The learner will be able to
use the capture-recapture model to create a confidence interval.
| Strand |
Bloom's |
Scope |
| Statistical Analysis |
Application |
Master |
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FST.DPS.65
The learner will be able to
find examples of the applications of statistics in other disciplines.
| Strand |
Bloom's |
Scope |
| Statistics |
Application |
Master |
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FST.DPS.66
The learner will be able to
designate theoretical probabilities to events that are equally likely to occur.
| Strand |
Bloom's |
Scope |
| Theoretical Probability |
Application |
Master |
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FST.GEO.1
The learner will be able to
formulate logical reasoning ability through the accumulation of many and varied experiences.
| Strand |
Bloom's |
Scope |
| Reasoning |
Evaluation |
Master |
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FST.GEO.2
The learner will be able to
figure out the validity of an argument.
| Strand |
Bloom's |
Scope |
| Logic |
Evaluation |
Master |
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FST.GEO.3
The learner will be able to
come to a valid and supportable conclusion.
| Strand |
Bloom's |
Scope |
| Logic |
Synthesis |
Master |
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FST.GEO.4
The learner will be able to
devise counterexamples.
| Strand |
Bloom's |
Scope |
| Proofs |
Synthesis |
Master |
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Number Sense and Numeration
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FST.NSN.1
The learner will be able to
write formulas for arithmetic and geometric sequences and series in both recursive and explicit form.
| Strand |
Bloom's |
Scope |
| Sequences |
Synthesis |
Master |
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FST.NSN.2
The learner will be able to
determine whether an infinite series converges or diverges.
| Strand |
Bloom's |
Scope |
| Series |
Application |
Master |
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FST.NSN.3
The learner will be able to
find the sum of a series.
| Strand |
Bloom's |
Scope |
| Series |
Application |
Master |
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FST.NSN.4
The learner will be able to
solve enumeration and finite probability problems.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
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Patterns, Functions, Algebra
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FST.PFA.1
The learner will be able to
follow a valid argument.
| Strand |
Bloom's |
Scope |
| Conjecture/Argument |
Analysis |
Master |
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FST.PFA.2
The learner will be able to
create elementary arguments.
| Strand |
Bloom's |
Scope |
| Conjecture/Argument |
Synthesis |
Master |
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FST.PFA.3
The learner will be able to
create and/or test conjectures.
| Strand |
Bloom's |
Scope |
| Conjecture/Argument |
Application |
Master |
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