Aligned Resources

NCTM
Grades 6-8
Data Analysis and Probability
Understand and apply basic concepts of probability

Lessons  •  Activities  •  Show All

Lessons (6)

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 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

Considers probability concepts on the basis of statistics in professional sports.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Probability

Related Topics: experimental probability, probability, statistics, theoretical probability

Students learn about how probability can be represented using geometry.

Audiences: Grades 6-8, Grades 9-12

Primary Subjects: Discrete, Geometry, Probability

Related Topics: angles, area, circle graph, circles, counting, decimals, degrees, estimation, events, experimental probability, fair, geometric probability, geometry, length, outcomes, percents, polygon, polyhedra, probability, probability simulation, random number, right angle, spinner, statistics, theoretical probability, volume

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 (10)

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

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

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

Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.

Audiences: Grades 3-5, Grades 6-8

Primary Subjects: Discrete, Geometry, Graphs, Number and Operations

Related Topics: pattern, sets, sorter, venn diagram

Classify various objects into categories in a Venn Diagram. Learn how categories in Venn Diagrams work. Venn Diagrams is one of the Interactivate assessment explorers.

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

Primary Subjects: Algebra, Discrete, Geometry, Graphs, Number and Operations

Related Topics: sets, venn diagram