Learning Resource Type

Classroom Resource

Thinkport | Probability and Tree Diagrams

Subject Area

Mathematics

Grade(s)

7

Overview

Use a tree diagram to find the probability that a set of triplets will be all girls in this interactive from MPT. In the accompanying classroom activity, students find the probability of various outcomes of compound events involving a set of dice, such as the probability of rolling doubles and the probability of rolling at least one “2.” They share solution strategies, including methods of representing sample spaces for these compound events. To get the most from the lesson, students should have experience developing and using uniform probability models. For a longer self-paced student tutorial using this media, see "Tree Diagrams" on Thinkport from Maryland Public Television.

    Mathematics (2019) Grade(s): 7

    MA19.7.16

    Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

    Unpacked Content

    UP:MA19.7.16

    Vocabulary

    • Tree diagram
    • Compound probability
    • Simulation
    • Sample space
    • Event

    Knowledge

    Students know:
    • how the sample space is used to find the probability of compound events.
    • A compound event consists of two or more simple events.
    • A sample space is a list of all possible outcomes of an experiment.
    • how to make an organized list.
    • how to create a tree diagram.

    Skills

    Students are able to:
    • find probabilities of compound events using organized lists, tables, tree diagrams and simulations
    • Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
    • For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
    • Design a simulation to generate frequencies for compound events.
    • Use a designed simulation to generate frequencies for compound events.

    Understanding

    Students understand that:
    • the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
    • A compound event can be simulated using an experiment.
    Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

    MA19.7A.32

    Find probabilities of simple and compound events through experimentation or simulation and by analyzing the sample space, representing the probabilities as percents, decimals, or fractions.

    Unpacked Content

    UP:MA19.7A.32

    Vocabulary

    • Tree diagram
    • Compound probability
    • Simulation
    • Sample space
    • Event

    Knowledge

    Students know:
    • how the sample space is used to find the probability of compound events.
    • A compound event consists of two or more simple events.
    • A sample space is a list of all possible outcomes of an experiment.
    • how to make an organized list.
    • how to create a tree diagram.

    Skills

    Students are able to:
    • find probabilities of compound events using organized lists, tables, tree diagrams and simulations
    • Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams.
    • For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
    • Design a simulation to generate frequencies for compound events.
    • Use a designed simulation to generate frequencies for compound events.

    Understanding

    Students understand that:
    • the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
    • A compound event can be simulated using an experiment.
    Link to Resource

    CR Resource Type

    Interactive/Game

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    Custom
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