DA-2: The student will demonstrate through the mathematical processes an understanding of the design of a statistical study.

DA-2.1: Classify a data-collection procedure as a survey, an observational study, or a controlled experiment.

Correlation
Describing Data Using Statistics
Polling: City
Polling: Neighborhood

DA-2.2: Compare various random sampling techniques (including simple, stratified, cluster, and systematic).

Polling: Neighborhood
Populations and Samples

DA-2.3: Analyze a data-collection procedure to classify the technique used as either simple cluster, systematic, or convenience sampling.

Describing Data Using Statistics

DA-2.5: Judge which of two or more possible experimental designs will best answer a given research question.

Real-Time Histogram

DA-2.6: Generate a research question and design a statistical study to answer a given research question.

Correlation
Polling: Neighborhood

DA-3: The student will demonstrate through the mathematical processes an understanding of the methodology for collecting, organizing, displaying, and interpreting data.

DA-3.1: Use manipulatives, random number tables, and technology to collect data and conduct experiments and simulations.

Binomial Probabilities
Describing Data Using Statistics
Geometric Probability
Independent and Dependent Events

DA-3.2: Organize and interpret data by using pictographs, bar graphs, pie charts, dot plots, histograms, time-series plots, stem-and-leaf plots, box-and-whiskers plots, and scatterplots.

Box-and-Whisker Plots
Correlation
Describing Data Using Statistics
Forest Ecosystem
Histograms
Least-Squares Best Fit Lines
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Solving Using Trend Lines
Stem-and-Leaf Plots
Trends in Scatter Plots

DA-3.3: Select appropriate graphic display(s) from among pictographs, bar graphs, pie charts, dot plots, histograms, time-series plots, stem-and-leaf plots, box-and-whiskers plots, and scatterplots when given a data set or problem situation.

Box-and-Whisker Plots
Forest Ecosystem
Histograms
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

DA-3.4: Represent frequency distributions by using displays such as categorical frequency distributions/Pareto charts, histograms, frequency polygons, and cumulative frequency distributions/ogives.

Histograms
Polling: City
Populations and Samples
Real-Time Histogram

DA-3.6: Classify graphically and analytically the correlation between two variables as either positive, negative, or zero.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

DA-3.7: Carry out a procedure to determine an equation of a trend line for a scatterplot exhibiting a linear pattern by using visual approximation.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

DA-3.8: Carry out a procedure using technology to determine a line of best fit for a scatterplot exhibiting a linear pattern.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

DA-3.9: Explain the meaning of the correlation coefficient r.

Correlation

DA-4: The student will demonstrate through the mathematical processes an understanding of basic statistical methods of analyzing data.

DA-4.4: Use procedures and/or technology to find measures of central tendency (mean, median, and mode) for given data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

DA-4.6: Use procedures and/or technology to find measures of spread (range, variance, standard deviation, and interquartile range) and outliers for given data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

DA-4.7: Use procedures and/or technology to find measures of position (including median, quartiles, percentiles, and standard scores) for given data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Polling: City
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Stem-and-Leaf Plots

DA-4.10: Use a knowledge of the empirical rule to solve problems involving data that are distributed normally.

Populations and Samples
Real-Time Histogram

DA-5: The student will demonstrate through the mathematical processes an understanding of the basic concepts of probability.

DA-5.1: Construct a sample space for an experiment and represent it as a list, chart, picture, or tree diagram.

Binomial Probabilities
Permutations and Combinations

DA-5.2: Use counting techniques to determine the number of possible outcomes for an event.

Binomial Probabilities

DA-5.3: Classify events as either dependent or independent.

Independent and Dependent Events

DA-5.6: Use the binomial probability distribution to solve problems.

Binomial Probabilities

DA-5.7: Carry out a procedure to compute simple probabilities and compound probabilities (including conditional probabilities).

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

DA-5.8: Use a procedure to find geometric probability in real-world contexts.

Geometric Probability

DA-5.9: Compare theoretical and experimental probabilities.

Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

DA-5.10: Construct and compare theoretical and experimental probability distributions.

Geometric Probability
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

DA-5.12: Understand the law of large numbers.

Theoretical and Experimental Probability