Aligned Resources

North Carolina Standard Course of Study
Discrete Mathematics
Data Analysis and Probability
Competency Goal 2: The learner will analyze data and apply probability concepts to solve problems.

Lessons  •  Activities  •  Show All

Lessons (5)

Students learn about the concepts and applications of chaos.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Geometry, Probability

Related Topics: agent modeling, chaos, conditional probability, experimental probability, iteration, outcomes, percents, probability, probability simulation, theoretical probability

Introduces conditional probability and the probability of simultaneous events.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: comparing, conditional probability, events, experimental probability, fair, fractions, independent, multiplication, percents, probability, probability simulation, probability without replacement, random number, theoretical probability

Introduces students to concepts that lead to probability.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: circle graph, counting, events, experimental probability, fair, geometric probability, outcomes, pie chart, probability, probability simulation, random number, spinner, theoretical probability

Introduces students to simple probability concepts.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: combinatorics, comparing, counting, events, experimental probability, fractions, geometric probability, intersection, outcomes, percents, probability, probability simulation, random number, sets, statistics, theoretical probability, trials, union, venn diagram

Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: addition, combinatorics, conditional probability, events, experimental probability, exponents, fair, fractions, logarithm, multiples, multiplication, outcomes, percents, probability, probability simulation, random number, theoretical probability, tree diagram, trials

Activities (4)

Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Fractions, Probability

Related Topics: combinatorics, decimals, events, experimental probability, fair, fractions, outcomes, percentages, percents, probability simulation, proportion, random number, statistics, theoretical probability, theoretical value

Students compare multiple independent variables as predictors of one dependent variable. Students explore correlation and lines of best-fit.

Audiences: Grades 9-12, Undergraduate

Primary Subjects: Algebra, Modeling, Statistics

Related Topics: algebra, cartesian coordinate, coordinate, coordinate plane, coordinate system, data plot, deviations, flyer, functions, graph, linear functions, squares

Simulate a game where two players each roll a die, and the lucky player moves one step to the finish. Parameters: what rolls win and how many steps to the finish line.

Audiences: Grades 3-5, Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: circle graph, events, experimental probability, fair, geometric probability, percents, pie chart, probability, probability simulation, random number, theoretical probability, trials

Simulate a game where "N" players roll two dice, and the lucky player has an advantage for reaching the finish. Parameters: the number of players, number of trials and length of the race.

Audiences: Grades 6-8, Grades 9-12, Undergraduate

Primary Subjects: Discrete, Probability

Related Topics: combinatorics, experimental probability, fair, outcomes, probability, probability simulation, random number, theoretical probability, trials