Public learning track
Theoretical Probability, Complements, and Simulations
7th Grade · Math · Open Global Math
7 lessons
Goal
Quantify likelihood between 0 and 1, calculate theoretical probabilities of simple events and complements, and verify the Law of Large Numbers through simulations.
Featured Diagrams
Probability as a Continuum from 0 to 1
7 lessons
0 of 7 done
- 1Probability as a Continuum from 0 to 1Up nextStart
- 2Random Experiments, Outcomes, and Sample Spaces (Set Representation)PremiumNot started yet
- 3Calculating Theoretical Probabilities with Equally Likely OutcomesNot started yet
- 4Calculating Complementary Events Using 1 - P(A)Not started yet
- 5Using Relative Frequencies to Estimate Event ProbabilitiesNot started yet
- 6Using Digital Simulators for Large Trial Chance ExperimentsNot started yet
- 7The Law of Large Numbers and the Gambler's FallacyNot started yet
Curriculum Framework
7th Grade · Math · Open Global Math
1
7 lessons
Sampling Methods, Bias, and Population Inferences
Understand how random sampling generates representative data, identify sources of bias, and use sample statistics to make valid inferences about population parameters.
2
8 lessons
Organizing and Representing Numerical Data
Acquire, classify, organize, and construct accurate graphical representations of discrete and continuous numerical data sets.
3
7 lessons
Measures of Central Tendency and Distribution Symmetry
Calculate and interpret mean, weighted mean, median, and mode, and evaluate which center best represents skewed versus symmetric data sets.
4
6 lessons
Measures of Variability and Spread
Calculate and interpret measures of dispersion including range, interquartile range (IQR), mean absolute deviation (MAD), and sample variance.
5
6 lessons
Comparative Data Analysis and Population Inferences
Compare two numeric distributions visually and numerically, quantifying center separation as a multiple of variability to draw informal comparative inferences.
6
7 lessons
Theoretical Probability, Complements, and Simulations
Quantify likelihood between 0 and 1, calculate theoretical probabilities of simple events and complements, and verify the Law of Large Numbers through simulations.
7
8 lessons
Compound Probability, Tree Diagrams, and Counting Principles
Find probabilities of compound events using organized lists, two-way grids, tree diagrams, simulations, and the Fundamental Counting Principle.