Gizmos for Virginia - Mathematics: Probability and Statistics (Standards of Learning adopted 2023)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

PS.DC: : Data in Context

PS.DC.1: : The student will use a statistical cycle to formulate questions, describe types of data, data sources, and constraints within the context of a problem.

PS.DC.1.b: : Formulate questions and conclusions based on context.

PS.DC.1.d: : Compare and contrast population and sample, and parameter and statistic.

PS.DS: : Descriptive Statistics

PS.DS.1: : The student will represent and analyze data visualizations of univariate quantitative data, including dot plots, stemplots, boxplots, cumulative frequency graphs, and histograms, to identify and describe patterns and departures from patterns, using central tendency, spread, clusters, gaps, and outliers, within the context of a problem.

PS.DS.1.a: : Create and interpret graphical displays of data, including dot plots, stemplots, boxplots, cumulative frequency graphs, and histograms, using appropriate technology.

PS.DS.1.b: : Examine the graphs within the context of the problem by analyzing:

PS.DS.1.b.i: : shape;

PS.DS.1.b.ii: : measures of center;

PS.DS.1.b.iii: : spread; and

PS.DS.1.b.iv: : unusual features of the data (e.g., outliers, clusters, gaps).

PS.DS.2: : The student will represent and analyze numerical characteristics of univariate quantitative data sets to describe patterns and departures from patterns within the context of a problem.

PS.DS.2.a: : Interpret measures of central tendency: mean, median, and mode.

PS.DS.2.b: : Interpret measures of spread: range, interquartile range, variance, and standard deviation.

PS.DS.2.c: : Identify possible outliers, using an algorithm.

PS.DS.2.d: : Investigate and explain the influence of outliers on a univariate data set.

PS.DS.2.e: : Investigate and explain ways in which standard deviation addresses variability by examining the formula for standard deviation.

PS.DS.3: : The student will represent, compare, and analyze distributions of two or more univariate quantitative data sets, numerically and graphically.

PS.DS.3.b: : Compare and contrast two or more univariate data sets, numerically and graphically, within the context of a problem by analyzing:

PS.DS.3.b.i: : shape;

PS.DS.3.b.ii: : measures of center;

PS.DS.3.b.iii: : measures of spread; and

PS.DS.3.b.iv: : unusual features of the data (e.g., clusters, gaps, outliers).

PS.DS.5: : The student will represent and analyze quantitative bivariate data with scatterplots to identify and describe the relationship between two variables.

PS.DS.5.a: : Create scatterplots, using appropriate technology.

PS.DS.5.b: : Examine and interpret scatterplots in the context of the problem by analyzing:

PS.DS.5.b.ii: : the direction of the relationship for positive, negative, or no association;

PS.DS.5.b.iii: : the strength of the relationship such as strong, moderate, or weak; and

PS.DS.6: : The student will create and interpret a linear model using the least squares regression method to assess the relationship between two quantitative variables.

PS.DS.6.a: : Create the least squares regression model using technology to interpret the contextual meaning of the slope and y-intercept.

PS.DS.6.b: : Using technology, calculate and interpret the correlation coefficient, r, within the context of a problem.

PS.DS.6.d: : Use regression lines to make predictions, and identify the limitations of the predictions, such as extrapolation.

PS.DS.6.e: : Calculate and interpret a residual to understand the error of a prediction.

PS.P: : Probability

PS.P.1: : The student will organize information and apply probability rules to compute probabilities of events within the context of a problem.

PS.P.1.a: : Given two or more events, determine whether the events are complementary, dependent, independent, and/or mutually exclusive, and compute the probability of those events.

PS.P.1.b: : Represent and calculate probabilities using Venn diagrams, tree diagrams, and two-way tables.

PS.P.1.c: : Apply the addition rule, the multiplication rule, and complementary rule to calculate probabilities.

PS.P.1.d: : Calculate conditional probabilities to determine the association or independence of two events.

PS.P.2: : The student will represent and interpret situations using discrete random distributions, including binomial distributions.

PS.P.2.a: : Identify discrete random variables and create a table to represent valid discrete probability distributions within the context of a problem.

PS.P.2.b: : Calculate and interpret the mean (expected value) and standard deviation for a discrete random variable within the context of a problem.

PS.P.2.d: : Design and conduct a simulation of a binomial distribution.

PS.P.2.e: : Calculate and interpret probabilities from a binomial distribution within the context of a problem.

PS.IS: : Inferential Statistics

PS.IS.2: : The student will apply properties of sampling distributions and inference procedures to make decisions about populations.

PS.IS.2.a: : Describe the shape, center, and spread of the sampling distribution of a mean within the context of a problem.

PS.IS.2.b: : Calculate and interpret a point estimate and a margin of error for a confidence interval of a mean within the context of a problem.

Correlation last revised: 4/9/2024

Virginia - Mathematics: Probability and Statistics

Standards of Learning | Adopted: 2023

PS.DC: : Data in Context

PS.DS: : Descriptive Statistics

PS.P: : Probability

PS.IS: : Inferential Statistics