Aligned Resources

NCTM
Grades 9-12
Data Analysis and Probability
Understand and apply basic concepts of probability

Lessons  •  Activities  •  Show All

Lessons (5)

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

Extends the notion of conditional probability by discussing the effects of replacement on drawing multiple objects.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: algebra, arithmetic, conditional probability, divisors, events, experimental probability, fair, fractions, independent, multiplication, outcomes, percentages, percents, probability, probability simulation, probability with replacement, probability without replacement, random number, sampling, solving equations, theoretical probability, trials

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 (13)

Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.

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

Primary Subjects: Discrete, Fractions, Probability, Statistics

Related Topics: angles, circle graph, circles, counting, decimals, events, experimental probability, fair, geometric probability, outcomes, percentages, percents, pie chart, probability simulation, simulation, spinner, statistics, theoretical probability

Run a simulation of how a fire spreads through a stand of trees, learning about probability and chaos. Track the results of multiple burns and use the data to draw conclusions.

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

Primary Subjects: Modeling, Probability, Statistics

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

Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Modeling, Probability, Statistics

Related Topics: bar graph, conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, simulation, statistics, trials

Experiment with a simulation to get an approximation of Pi by dropping a needle on a lined sheet of paper.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability, Statistics

Related Topics: angles, area, circumference, experimental probability, polygon, probability simulation, simulation

Simulation of a coin toss allowing the user to input the number of flips. Toss results can be viewed as a list of individual outcomes, ratios, or table.

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

Primary Subjects: Discrete, Fractions, Probability, Statistics

Related Topics: counting, events, experimental probability, fair, flips, outcomes, percentages, probability simulation, proportion, theoretical probability, theoretical value

Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Fractions, Probability, Statistics

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

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

Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice.

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

Primary Subjects: Discrete, Probability, Statistics

Related Topics: circles, events, experimental probability, fair, fractions, geometric probability, outcomes, percentages, probability simulation, random number, simulation, spinner, statistics, theoretical probability, theoretical value, trials

Run a simulation to generate results from running the Monty Hall for multiple trials. This is similar to the game show "Let's Make A Deal", where you choose one of N doors in hopes of finding a grand prize behind one of the doors. Parameters: Number of doors, number of trials, staying, or switching between the two remaining doors.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Modeling, Probability

Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, probability simulation, random number, simulation, theoretical probability, theoretical value, trials

Learn about sampling with and without replacement by randomly drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: conditional probability, events, experimental probability, outcomes, percentages, probability simulation, probability with replacement, probability without replacement, random number, simulation, statistics, theoretical probability, trials

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

Choose one of three doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Staying or switching between the two remaining doors.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: conditional probability, events, experimental probability, fair, monty hall, outcomes, percents, probability, probability simulation, random number, statistics, strategy, theoretical probability