l1. Data Interpretation, Statistics and Probability. Explain and apply quantitative information.

Evidence of Learning

ADP Benchmarks College Readiness Standards

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L1.1.
Organize and display data using appropriate methods (including spreadsheets) to detect patterns and departures from patterns. [Core]
6.2a
Use and interpret pie charts, bar graphs, histograms, box-andwhisker plots, scatter plots, stem and leaf, and line graphs.
6.2c
Justify the use of appropriate graphical displays to accurately represent and study data.
L1.2.
Read and interpret tables, charts and graphs. [Core]
6.2a
Use and interpret pie charts, bar graphs, histograms, box-andwhisker plots, scatter plots, stem and leaf, and line graphs.
L1.3.
Compute and explain summary statistics for distributions of data including measures of center (mean, median) and spread (range, percentiles, variance, standard deviation). [Core]
6.3a
Use measures of central tendency (mean, median, mode) and spread (range, quartiles) to summarize data, draw inferences, make predictions, and justify conclusions.
L1.4.
Compare data sets using graphs and summary statistics.
6.3a
Use measures of central tendency (mean, median, mode) and spread (range, quartiles) to summarize data, draw inferences, make predictions, and justify conclusions.
L1.5.
Create scatter plots, analyze patterns and describe relationships in paired data.
6.4a
Create, select, and justify an appropriate linear model for a given set of data.
6.4b
Use reasonable models to make predictions and justify conclusions.
6.4c
Recognize when arguments based on data confuse correlation with causation.
L1.6.
Know the characteristics of the Gaussian normal distribution (bell-shaped curve).

L2. Data Interpretation, Statistics and Probability. Explain and critique alternative ways of presenting and using information.

Evidence of Learning

ADP Benchmarks College Readiness Standards

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L2.1.
Evaluate reports based on data published in the media by considering the source of the data, the design of the study, and the way the data are analyzed and displayed. [Core]
6.2b
Analyze data displays to evaluate the reasonableness of claims, reports, studies, and conclusions.
L2.2.
Identify and explain misleading uses of data.
L2.3.
Recognize when arguments based on data confuse correlation with causation.Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines.
6.4c
Recognize when arguments based on data confuse correlation with causation.

L3. Data Interpretation, Statistics and Probability.Explain the use of data and statistical thinking to draw inferences, make predictions and justify conclusions.

Evidence of Learning

ADP Benchmarks College Readiness Standards

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L3.1.
Explain the impact of sampling methods, bias and the phrasing of questions asked during data collection and the conclusions that can rightfully be made.
L3.2.
Design simple experiments or investigations to collect data to answer questions of interest.
6.3b
Develop and conduct an investigation drawing appropriate conclusions through the use of statistical measures of center, frequency, and spread, combined with graphical displays.
L3.3.
Explain the differences between randomized experiments and observational studies.
L3.4.
Construct a scatter plot of a set of paired data, and if it demonstrates a linear trend, use a graphing calculator to find the regression line that best fits this data; recognize that the correlation coefficient measures goodness of fit and explain when it is appropriate to use the regression line to make predictions. [Core]
6.4a
Create, select, and justify an appropriate linear model for a given set of data.
6.4b
Use reasonable models to make predictions and justify conclusions.
6.4c
Recognize when arguments based on data confuse correlation with causation.

L4. Data Interpretation, Statistics and Probability.Explain and apply probability concepts and calculate simple probabilities.

Evidence of Learning

ADP Benchmarks College Readiness Standards

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L4.1.
Explain how probability quantifies the likelihood that an event occurs in terms of numbers.
L4.2.
Explain how the relative frequency of a specified outcome of an event can be used to estimate the probability of the outcome.
L4.3.
Explain how the law of large numbers can be applied in simple examples.
L4.4.
Apply probability concepts such as conditional probability and independent events to calculate simple probabilities.
6.1a
Describe and apply the concepts of complementary, mutually exclusive, independent, and compound events.
L4.5.
Apply probability concepts to practical situations to make informed decisions. [Core]