NCTM
Grades 6-8
Data Analysis and Probability
Understand and apply basic concepts of probability
Lessons (6)
Students learn about the concepts and applications of chaos.
Introduces students to concepts that lead to probability.
Introduces students to simple probability concepts.
Considers probability concepts on the basis of statistics in professional sports.
Students learn about how probability can be represented using geometry.
Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
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.
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.
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.
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.
Experiment with probability using a fixed size section spinner, a variable section spinner, two regular 6-sided dice or customized dice.
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.
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.
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.
Sort colored shapes into a Venn diagram based on various characteristics. Venn Diagram Shape Sorter is one of the Interactivate assessment explorers.
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.