Public learning track
Experimental Probability, Simulations, and the Law of Large Numbers
6th Grade · Math · Open Global Math
9 lessons
Goal
Conduct empirical trials and digital simulations, calculate relative frequencies, compare experimental results with theoretical models, and explain the law of large numbers.
Featured Diagrams
Conducting Repeated Trials of Equally Likely Events
9 lessons
0 of 9 done
- 1Conducting Repeated Trials of Equally Likely EventsUp nextStart
- 2Calculating Relative Frequencies as Fractions and PercentagesPremiumNot started yet
- 3Conducting Repeated Trials of Non-Equally Likely EventsNot started yet
- 4Designing and Running Simulations with Random Number GeneratorsNot started yet
- 5Using Digital Simulators for Large Trial Chance ExperimentsNot started yet
- 6Comparing Observed Experimental Results with Theoretical PredictionsNot started yet
- 7Understanding How Repeated Trials Improve Experimental AccuracyNot started yet
- 8Analyzing Sample Variability and Sample Size EffectsNot started yet
- 9Using Experimental Relative Frequency to Make PredictionsNot started yet
Curriculum Framework
6th Grade · Math · Open Global Math
1
10 lessons
Statistical Questions, Sampling, and Data Organization
Formulate statistical questions, compare census and sampling methods, collect categorical and numerical data, and organize information into frequency tables with grouped intervals.
2
8 lessons
Data Displays: Dot Plots, Stem Plots, and Line Graphs
Construct and interpret dot plots, ordered stem-and-leaf plots, bar charts, and line graphs to display and analyze single-variable and time-series data.
3
10 lessons
Histograms, Circle Graphs, Box Plots, and Misleading Graphs
Construct and interpret histograms, circle graphs, and box-and-whisker plots, and critically detect misleading graphical distortions.
4
9 lessons
Measures of Center and Distribution Shape
Calculate and interpret the mean, median, and mode, evaluate the effect of outliers and skewness, and describe distribution symmetry, clusters, and gaps.
5
10 lessons
Measures of Variability: Range, Interquartile Range, and MAD
Calculate and interpret measures of spread including the range, interquartile range (IQR), and mean absolute deviation (MAD), comparing data sets comprehensively.
6
9 lessons
Theoretical Probability and Sample Spaces
Quantify probability between 0 and 1, calculate theoretical probabilities of simple and compound events, and construct sample spaces using lists, grids, and tree diagrams.
7
9 lessons
Experimental Probability, Simulations, and the Law of Large Numbers
Conduct empirical trials and digital simulations, calculate relative frequencies, compare experimental results with theoretical models, and explain the law of large numbers.